Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/README
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/README	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/README	(revision 11889)
@@ -0,0 +1,25 @@
+# ISOMIP is a simple TEST_CASE to test the iceshelves in NEMO.
+# no input files are needed (all is prescribed in MY_SRC/usr_def routines
+# for a reference documentation on the ISOMIP test case, see experiement 1 on http://efdl.cims.nyu.edu/project_oisi/isomip/experiments/phase_I/idealized_numerical_models_5.pdf
+
+# default namelist is setup for a 30y run on 32 processors with the minimum output using XIOS in attached mode with single file output
+
+# How to build moc.nc and psi.nc
+   - Download or clone the CDFTOOLS (see https://github.com/meom-group/CDFTOOLS)
+   - Compile all the tools (or at least cdfpsi and cdfmoc) on your cluster (see https://github.com/meom-group/CDFTOOLS#using-cdftools)
+   - if mesh_mask.nc is splitted, you need to rebuild them using the rebuild NEMO tools (see in NEMOGCM/TOOLS) or run 1 (or more) time step on a single processor (nn_itend variable in the namelist). 
+   - set the correct link: ln -s mesh_mask.nc mask.nc ; ln -s mesh_mask.nc mesh_hgr.nc ; ln -s mesh_mask.nc mesh_zgr.nc
+   - run the cdftools : 
+        - cdfmoc ISOMIP_1m_00010101_00301231_grid_V.nc                                       => moc.nc
+        - cdfpsi ISOMIP_1m_00010101_00301231_grid_U.nc ISOMIP_1m_00010101_00301231_grid_V.nc => psi.nc
+
+# How to plt moc/psi and melt (python with netcdf and matplotlib library requiried):
+   - psi.png => python2.7 plot_psi.py -f psi.nc -v sobarstf
+   - moc.png => python2.7 plot_moc.py -f moc.nc -v zomsfglo
+   - mlt.png => python2.7 plot_mlt.py -f ISOMIP_1m_00010101_00301231_grid_T.nc -v sowflisf
+by default the last time frame is plotted.
+
+# location the expected circulation and melt plot after 30y of run:
+   - ISOMIP/EXP00/ISOMIP_psi.png
+   - ISOMIP/EXP00/ISOMIP_moc.png
+   - ISOMIP/EXP00/ISOMIP_mlt.png
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/context_nemo.xml
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/context_nemo.xml	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/context_nemo.xml	(revision 11889)
@@ -0,0 +1,35 @@
+<!--
+ ============================================================================================== 
+    NEMO context
+============================================================================================== 
+-->
+<context id="nemo">
+<!-- $id$ -->
+<!-- Fields definition -->
+    <field_definition src="./field_def_nemo-oce.xml"/>   <!--  NEMO ocean dynamics                     -->
+
+<!-- Files definition -->
+    <file_definition src="./file_def_nemo-oce.xml"/>     <!--  NEMO ocean dynamics                     -->
+    <!-- 
+============================================================================================================
+= grid definition = = DO NOT CHANGE =
+============================================================================================================
+    -->
+    
+    <axis_definition>
+      <axis id="deptht" long_name="Vertical T levels" unit="m" positive="down" />
+      <axis id="depthu" long_name="Vertical U levels" unit="m" positive="down" />
+      <axis id="depthv" long_name="Vertical V levels" unit="m" positive="down" />
+      <axis id="depthw" long_name="Vertical W levels" unit="m" positive="down" />
+      <axis id="nfloat" long_name="Float number"      unit="-"                 />
+      <axis id="icbcla"  long_name="Iceberg class"      unit="1"               />
+      <axis id="ncatice" long_name="Ice category"       unit="1"               />
+      <axis id="iax_20C" long_name="20 degC isotherm"   unit="degC"            />
+      <axis id="iax_28C" long_name="28 degC isotherm"   unit="degC"            />
+    </axis_definition>
+ 
+    <domain_definition src="./domain_def_nemo.xml"/>
+  
+    <grid_definition src="./grid_def_nemo.xml"/>
+
+</context>
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/domain_def_nemo.xml
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/domain_def_nemo.xml	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/domain_def_nemo.xml	(revision 11889)
@@ -0,0 +1,1 @@
+link ../../../cfgs/SHARED/domain_def_nemo.xml
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/field_def_nemo-oce.xml
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/field_def_nemo-oce.xml	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/field_def_nemo-oce.xml	(revision 11889)
@@ -0,0 +1,1 @@
+link ../../../cfgs/SHARED/field_def_nemo-oce.xml
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/file_def_nemo-oce.xml
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/file_def_nemo-oce.xml	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/file_def_nemo-oce.xml	(revision 11889)
@@ -0,0 +1,54 @@
+<?xml version="1.0"?>
+    <!-- 
+============================================================================================================
+=                                           output files definition                                        =
+=                                            Define your own files                                         =
+=                                         put the variables you want...                                    =
+============================================================================================================
+    -->
+    
+    <file_definition type="one_file" name="@expname@_@freq@_@startdate@_@enddate@" sync_freq="1d" min_digits="4">
+    
+      <file_group id="1ts" output_freq="1ts"  output_level="10" enabled=".TRUE."/> <!-- 1 time step files -->
+      <file_group id="1h" output_freq="1h"  output_level="10" enabled=".TRUE."/> <!-- 1h files -->
+      <file_group id="2h" output_freq="2h"  output_level="10" enabled=".TRUE."/> <!-- 2h files -->
+      <file_group id="3h" output_freq="3h"  output_level="10" enabled=".TRUE."/> <!-- 3h files -->     
+      <file_group id="4h" output_freq="4h"  output_level="10" enabled=".TRUE."/> <!-- 4h files -->
+      <file_group id="6h" output_freq="6h"  output_level="10" enabled=".TRUE."/> <!-- 6h files -->
+     
+      <file_group id="1d" output_freq="1d"  output_level="10" enabled=".TRUE."/> <!-- 1d files -->
+      <file_group id="3d" output_freq="3d"  output_level="10" enabled=".TRUE."/> <!-- 3d files -->    
+      <file_group id="5d" output_freq="5d"  output_level="10" enabled=".TRUE.">  <!-- 5d files -->  
+
+      <file_group id="1m" output_freq="1mo" output_level="10" enabled=".TRUE."/> <!-- real monthly files -->
+	<file id="file1" output_freq="1mo" name_suffix="_grid_T" description="ocean T grid variables" >
+	  <field field_ref="toce"         name="votemper"  />
+	  <field field_ref="soce"         name="vosaline"  />
+	  <field field_ref="ssh"          name="sossheig"  />
+          <!-- variable for ice shelf -->
+          <field field_ref="fwfisf_cav"       name="sowflisf"  />
+          <field field_ref="isfgammat"    name="sogammat"  />
+          <field field_ref="isfgammas"    name="sogammas"  />
+          <field field_ref="ttbl_cav"    name="ttbl"  />
+          <field field_ref="stbl"    name="stbl"  />
+          <field field_ref="utbl"    name="utbl"  />
+          <field field_ref="vtbl"    name="vtbl"  />
+        </file>
+	<file id="file2" output_freq="1mo" name_suffix="_grid_U" description="ocean U grid variables" >
+          <field field_ref="uoce"         name="vozocrtx"  />
+        </file>
+	<file id="file3" output_freq="1mo" name_suffix="_grid_V" description="ocean V grid variables" >
+          <field field_ref="voce"         name="vomecrty"  /> 
+        </file>
+      </file_group>
+      <file_group id="2m" output_freq="2mo" output_level="10" enabled=".TRUE."/> <!-- real 2m files -->
+      <file_group id="3m" output_freq="3mo" output_level="10" enabled=".TRUE."/> <!-- real 3m files -->
+      <file_group id="4m" output_freq="4mo" output_level="10" enabled=".TRUE."/> <!-- real 4m files -->
+      <file_group id="6m" output_freq="6mo" output_level="10" enabled=".TRUE."/> <!-- real 6m files -->
+      <file_group id="1y"  output_freq="1y" output_level="10" enabled=".TRUE."/> <!-- real yearly files -->
+      <file_group id="2y"  output_freq="2y" output_level="10" enabled=".TRUE."/> <!-- real 2y files -->
+      <file_group id="5y"  output_freq="5y" output_level="10" enabled=".TRUE."/> <!-- real 5y files -->
+      <file_group id="10y" output_freq="10y" output_level="10" enabled=".TRUE."/> <!-- real 10y files -->
+
+   </file_definition>
+
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/grid_def_nemo.xml
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/grid_def_nemo.xml	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/grid_def_nemo.xml	(revision 11889)
@@ -0,0 +1,1 @@
+link ../../../cfgs/SHARED/grid_def_nemo.xml
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/iodef.xml
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/iodef.xml	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/iodef.xml	(revision 11889)
@@ -0,0 +1,26 @@
+<?xml version="1.0"?>
+<simulation>
+
+<!-- ============================================================================================ -->
+<!-- XIOS context                                                                                 -->
+<!-- ============================================================================================ -->
+
+  <context id="xios" >
+
+      <variable_definition>
+
+          <variable id="info_level"                type="int">10</variable>
+          <variable id="using_server"              type="bool">false</variable>
+          <variable id="using_oasis"               type="bool">false</variable>
+          <variable id="oasis_codes_id"            type="string" >oceanx</variable>
+
+      </variable_definition>
+  </context>
+
+<!-- ============================================================================================ -->
+<!-- NEMO  CONTEXT add and suppress the components you need                                       -->
+<!-- ============================================================================================ -->
+
+  <context id="nemo" src="./context_nemo.xml"/>       <!--  NEMO       -->
+
+</simulation>
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/namelist_cfg
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/namelist_cfg	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/namelist_cfg	(revision 11889)
@@ -0,0 +1,536 @@
+!!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
+!! NEMO/OCE :   Reference namelist_ref                                !!
+!!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
+!! NEMO/OCE  :  1 - Domain & run manager (namrun, namcfg, namdom, namtsd, namcrs, namc1d, namc1d_uvd)
+!! namelists    2 - Surface boundary (namsbc, namsbc_flx, namsbc_blk, namsbc_cpl,
+!!                                    namsbc_sas, namtra_qsr, namsbc_rnf,
+!!                                    namisf, namsbc_apr, 
+!!                                    namsbc_ssr, namsbc_wave, namberg)
+!!              3 - lateral boundary (namlbc, namagrif, nambdy, nambdy_tide)
+!!              4 - top/bot boundary (namdrg, namdrg_top, namdrg_bot, nambbc, nambbl)
+!!              5 - Tracer           (nameos, namtra_adv, namtra_ldf, namtra_eiv, namtra_dmp)
+!!              6 - dynamics         (namdyn_adv, namdyn_vor, namdyn_hpg, namdyn_spg, namdyn_ldf)
+!!              7 - Vertical physics (namzdf, namzdf_ric, namzdf_tke, namzdf_gls, namzdf_iwm)
+!!              8 - diagnostics      (namnc4, namtrd, namspr, namflo, namhsb)
+!!              9 - Obs & Assim      (namobs, nam_asminc)
+!!             10 - miscellaneous    (nammpp, namctl, namsto)
+!! skeleton built : egrep -E '(^/ *$|^! *$|^ *$|&nam.*|!---.*|!! .*|!!==.*|!!>>>.*)' namelist_ref > namelist_skl
+!!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
+
+!!======================================================================
+!!              ***  Domain & Run management namelists  ***           !!
+!!                                                                    !!
+!!   namrun       parameters of the run
+!!   namdom       space and time domain
+!!   namcfg       parameters of the configuration                       (default: user defined GYRE)
+!!   namwad       Wetting and drying                                    (default: OFF)
+!!   namtsd       data: temperature & salinity                          (default: OFF)
+!!   namcrs       coarsened grid (for outputs and/or TOP)               (ln_crs =T)
+!!   namc1d       1D configuration options                              ("key_c1d")
+!!   namc1d_dyndmp 1D newtonian damping applied on currents             ("key_c1d")
+!!   namc1d_uvd   1D data (currents)                                    ("key_c1d")
+!!======================================================================
+!
+!-----------------------------------------------------------------------
+&namrun        !   parameters of the run
+!-----------------------------------------------------------------------
+   cn_exp      =  "ISOMIP+"  !  experience name
+   nn_it000    =       1   !  first time step
+   nn_itend    =   43800   !  last  time step (std 5840)
+   nn_date0    =  010101   !  date at nit_0000
+   nn_stock    =   43800   !  frequency of creation of a restart file (modulo referenced to 1)
+/
+!-----------------------------------------------------------------------
+&namdom        !   time and space domain
+!-----------------------------------------------------------------------
+rn_rdt = 720.
+/
+!-----------------------------------------------------------------------
+&namcfg        !   parameters of the configuration                      (default: use namusr_def in namelist_cfg)
+!-----------------------------------------------------------------------
+   ln_read_cfg = .true.   !  (=T) read the domain configuration file
+/
+!-----------------------------------------------------------------------
+&namtsd        !    Temperature & Salinity Data  (init/dmp)             (default: OFF)
+!-----------------------------------------------------------------------
+   !                       ! =T  read T-S fields for:
+   ln_tsd_init = .true.       !  ocean initialisation
+   ln_tsd_dmp  = .true.       !  T-S restoring   (see namtra_dmp)
+   ! 
+   cn_dir      = './'      !  root directory for the T-S data location
+   !___________!_________________________!___________________!___________!_____________!________!___________!__________________!__________!_______________!
+   !           !  file name              ! frequency (hours) ! variable  ! time interp.!  clim  ! 'yearly'/ ! weights filename ! rotation ! land/sea mask !
+   !           !                         !  (if <0  months)  !   name    !   (logical) !  (T/F) ! 'monthly' !                  ! pairing  !    filename   !
+   sn_tem = 'TS_init',  -12.    , 'Tinit',   .true.    , .true. , 'yearly'  ,    ''            ,    ''    ,    ''
+   sn_sal = 'TS_init',  -12.    , 'Sinit',   .true.    , .true. , 'yearly'  ,    ''            ,    ''    ,    ''
+/
+!-----------------------------------------------------------------------
+&namwad        !   Wetting and Drying (WaD)                             (default: OFF)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namcrs        !   coarsened grid (for outputs and/or TOP)              (ln_crs =T)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namc1d        !   1D configuration options                             ("key_c1d" default: PAPA station)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namc1d_dyndmp !   U & V newtonian damping                              ("key_c1d" default: OFF)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namc1d_uvd    !   data: U & V currents                                 ("key_c1d" default: OFF)
+!-----------------------------------------------------------------------
+
+/
+
+!!======================================================================
+!!            ***  Surface Boundary Condition namelists  ***          !!
+!!                                                                    !!
+!!   namsbc          surface boundary condition manager                 (default: NO selection)
+!!   namsbc_flx      flux               formulation                     (ln_flx     =T)
+!!   namsbc_blk      Bulk formulae formulation                          (ln_blk     =T)
+!!   namsbc_cpl      CouPLed            formulation                     ("key_oasis3" )
+!!   namsbc_sas      Stand-Alone Surface module                         (SAS_SRC  only)
+!!   namsbc_iif      Ice-IF: use observed ice cover                     (nn_ice = 1   )
+!!   namtra_qsr      penetrative solar radiation                        (ln_traqsr  =T)
+!!   namsbc_ssr      sea surface restoring term (for T and/or S)        (ln_ssr     =T)
+!!   namsbc_rnf      river runoffs                                      (ln_rnf     =T)
+!!   namsbc_apr      Atmospheric Pressure                               (ln_apr_dyn =T)
+!!   namsbc_wave     external fields from wave model                    (ln_wave    =T)
+!!   namberg         iceberg floats                                     (ln_icebergs=T)
+!!======================================================================
+!
+!-----------------------------------------------------------------------
+&namsbc        !   Surface Boundary Condition manager                   (default: NO selection)
+!-----------------------------------------------------------------------
+   nn_fsbc     = 1         !  frequency of SBC module call
+
+
+   ln_usr      = .true.   !  user defined formulation                  (T => check usrdef_sbc)
+/
+!-----------------------------------------------------------------------
+&namsbc_flx    !   surface boundary condition : flux formulation        (ln_flx =T)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namsbc_blk    !   namsbc_blk  generic Bulk formula                     (ln_blk =T)
+!-----------------------------------------------------------------------
+
+/
+!-----------------------------------------------------------------------
+&namsbc_cpl    !   coupled ocean/atmosphere model                       ("key_oasis3")
+!-----------------------------------------------------------------------
+
+/
+!-----------------------------------------------------------------------
+&namsbc_sas    !   Stand-Alone Surface module: ocean data               (SAS_SRC  only)
+!-----------------------------------------------------------------------
+
+/
+!-----------------------------------------------------------------------
+&namsbc_iif    !   Ice-IF : use observed ice cover                      (nn_ice = 1)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namtra_qsr    !   penetrative solar radiation                          (ln_traqsr =T)
+!-----------------------------------------------------------------------
+   
+/
+!-----------------------------------------------------------------------
+&namsbc_ssr    !   surface boundary condition : sea surface restoring   (ln_ssr =T)
+!-----------------------------------------------------------------------
+
+/
+!-----------------------------------------------------------------------
+&namsbc_rnf    !   runoffs                                              (ln_rnf =T)
+!-----------------------------------------------------------------------
+
+/
+!-----------------------------------------------------------------------
+&namsbc_apr    !   Atmospheric pressure used as ocean forcing           (ln_apr_dyn =T)
+!-----------------------------------------------------------------------
+
+/
+!-----------------------------------------------------------------------
+&namisf       !  Top boundary layer (ISF)                               (default: OFF)
+!-----------------------------------------------------------------------
+   !
+   ! ---------------- ice shelf load -------------------------------
+   !
+   cn_isfload = 'isomip'      ! scheme to compute ice shelf load (ln_isfcav = .true. in domain_cfg.nc)
+   !
+   ! ---------------- ice shelf melt formulation -------------------------------
+   !
+   ln_isf = .true.           ! activate ice shelf module
+      ln_isfdebug = .false.      ! add debug print in ISF code (global min/max/sum of specific variable)
+      cn_isfdir   = './'         ! directory for all ice shelf input file
+      !
+      ! ---------------- cavities opened -------------------------------
+      !
+      ln_isfcav_mlt = .true.     ! ice shelf melting into the cavity (need ln_isfcav = .true. in domain_cfg.nc)
+         cn_isfcav_mlt = '3eq'   ! ice shelf melting formulation (spe/2eq/3eq/oasis)
+         !                       ! spe = fwfisf is read from a forcing field
+         !                       ! 2eq = ISOMIP  like: 2 equations formulation (Hunter et al., 2006)
+         !                       ! 3eq = ISOMIP+ like: 3 equations formulation (Asay-Davis et al., 2015)
+         !                       ! oasis = fwfisf is given by oasis and pattern by file sn_isfcav_fwf
+         !              !  cn_isfcav_mlt = 2eq or 3eq cases:
+         cn_gammablk = 'ad15'    ! scheme to compute gammat/s (spe,ad15,hj99)
+         !                       ! ad15 = velocity dependend Gamma (u* * gammat/s)  (Jenkins et al. 2010)
+         !                       ! hj99 = velocity and stability dependent Gamma    (Holland et al. 1999)
+         rn_gammat0  = 0.045     ! gammat coefficient used in blk formula
+         rn_gammas0  = 1.29e-3   ! gammas coefficient used in blk formula
+         rn_vtide    = 0.01      ! tidal velocity [m/s]
+         !
+         rn_htbl     =  20.      ! thickness of the top boundary layer    (Losh et al. 2008)
+         !                       ! 0 => thickness of the tbl = thickness of the first wet cell
+         !
+         !* 'spe' and 'oasis' case
+         !___________!_____________!___________________!___________!_____________!_________!___________!__________!__________!_______________!
+         !           !  file name  ! frequency (hours) ! variable  ! time interp.!  clim   ! 'yearly'/ ! weights  ! rotation ! land/sea mask !
+         !           !             !  (if <0  months)  !   name    !  (logical)  !  (T/F)  ! 'monthly' ! filename ! pairing  ! filename      !
+         sn_isfcav_fwf = 'isfmlt_cav',      -12.      , 'fwflisf'  ,  .false.    , .true.  , 'yearly'  ,    ''    ,   ''     ,    ''
+      !
+      !
+      ! ---------------- ice sheet coupling -------------------------------
+      !
+      ln_isfcpl = .false.
+         nn_drown       = 10        ! number of iteration of the extrapolation loop (fill the new wet cells)
+         ln_isfcpl_cons = .false.
+/
+!-----------------------------------------------------------------------
+&namsbc_wave   ! External fields from wave model                        (ln_wave=T)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namberg       !   iceberg parameters                                   (default: OFF)
+!-----------------------------------------------------------------------
+
+/
+
+!!======================================================================
+!!               ***  Lateral boundary condition  ***                 !!
+!!                                                                    !!
+!!   namlbc        lateral momentum boundary condition                  (default: NO selection)
+!!   namagrif      agrif nested grid   (read by child model only)       ("key_agrif")
+!!   nam_tide      Tidal forcing                                        (default: OFF)
+!!   nambdy        Unstructured open boundaries                         (default: OFF)
+!!   nambdy_dta    Unstructured open boundaries - external data         (see  nambdy)
+!!   nambdy_tide   tidal forcing at open boundaries                     (default: OFF)
+!!======================================================================
+!
+!-----------------------------------------------------------------------
+&namlbc        !   lateral momentum boundary condition                  (default: NO selection)
+!-----------------------------------------------------------------------
+   !                       !  free slip  !   partial slip  !   no slip   ! strong slip
+   rn_shlat    =  2.       !  shlat = 0  !  0 < shlat < 2  !  shlat = 2  !  2 < shlat
+   ln_vorlat   = .false.   !  consistency of vorticity boundary condition with analytical Eqs.
+/
+!-----------------------------------------------------------------------
+&namagrif      !  AGRIF zoom                                            ("key_agrif")
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&nam_tide      !   tide parameters                                      (default: OFF)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&nambdy        !  unstructured open boundaries                          (default: OFF)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&nambdy_dta    !  open boundaries - external data                       (see nam_bdy)
+!-----------------------------------------------------------------------
+
+/
+!-----------------------------------------------------------------------
+&nambdy_tide   !  tidal forcing at open boundaries                      (default: OFF)
+!-----------------------------------------------------------------------
+/
+
+!!======================================================================
+!!                ***  Top/Bottom boundary condition  ***             !!
+!!                                                                    !!
+!!   namdrg        top/bottom drag coefficient                          (default: NO selection)
+!!   namdrg_top    top    friction                                      (ln_OFF=F & ln_isfcav=T)
+!!   namdrg_bot    bottom friction                                      (ln_OFF=F)
+!!   nambbc        bottom temperature boundary condition                (default: OFF)
+!!   nambbl        bottom boundary layer scheme                         (default: OFF)
+!!======================================================================
+!
+!-----------------------------------------------------------------------
+&namdrg        !   top/bottom drag coefficient                          (default: NO selection)
+!-----------------------------------------------------------------------
+   ln_non_lin  = .true.    !  non-linear  drag: Cd = Cd0 |U|
+/
+!-----------------------------------------------------------------------
+&namdrg_top    !   TOP friction                                         (ln_OFF =F & ln_isfcav=T)
+!-----------------------------------------------------------------------
+   rn_Cd0      =  2.5e-3   !  drag coefficient [-]
+/
+!-----------------------------------------------------------------------
+&namdrg_bot    !   BOTTOM friction                                      (ln_OFF =F)
+!-----------------------------------------------------------------------
+   rn_Cd0      =  2.5e-3    !  drag coefficient [-]
+/
+!-----------------------------------------------------------------------
+&nambbc        !   bottom temperature boundary condition                (default: OFF)
+!-----------------------------------------------------------------------
+
+/
+!-----------------------------------------------------------------------
+&nambbl        !   bottom boundary layer scheme                         (default: OFF)
+!-----------------------------------------------------------------------
+/
+
+!!======================================================================
+!!                        Tracer (T-S) namelists                      !!
+!!                                                                    !!
+!!   nameos        equation of state                                    (default: NO selection)
+!!   namtra_adv    advection scheme                                     (default: NO selection)
+!!   namtra_ldf    lateral diffusion scheme                             (default: NO selection)
+!!   namtra_mle    mixed layer eddy param. (Fox-Kemper param.)          (default: OFF)
+!!   namtra_eiv    eddy induced velocity param.                         (default: OFF)
+!!   namtra_dmp    T & S newtonian damping                              (default: OFF)
+!!======================================================================
+!
+!-----------------------------------------------------------------------
+&nameos        !   ocean Equation Of Seawater                           (default: NO selection)
+!-----------------------------------------------------------------------
+   ln_eos80    = .true.          !  = Use EOS80
+/
+!-----------------------------------------------------------------------
+&namtra_adv    !   advection scheme for tracer                          (default: NO selection)
+!-----------------------------------------------------------------------
+   ln_traadv_fct = .true. !  FCT scheme
+/
+!-----------------------------------------------------------------------
+&namtra_ldf    !   lateral diffusion scheme for tracers                 (default: NO selection)
+!-----------------------------------------------------------------------
+   !                       !  Operator type:
+   ln_traldf_lap   = .true.   !  laplacian operator
+   !
+   !                       !  Direction of action:
+   ln_traldf_iso   = .true.   !  iso-neutral (standard operator)
+   !
+   !                       !  Coefficients:
+   nn_aht_ijk_t    = 0
+   !                        !  time invariant coefficients:  aht0 = 1/2  Ud*Ld   (lap case)
+   !                             !                           or   = 1/12 Ud*Ld^3 (blp case)
+   rn_Ud        = 0.01           !  lateral diffusive velocity [m/s] (nn_aht_ijk_t= 0, 10, 20, 30)
+   rn_Ld        = 200.           !  lateral diffusive length   [m]   (nn_aht_ijk_t= 0, 10)
+/
+!-----------------------------------------------------------------------
+&namtra_mle    !   mixed layer eddy parametrisation (Fox-Kemper)       (default: OFF)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namtra_eiv    !   eddy induced velocity param.                         (default: OFF)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namtra_dmp    !   tracer: T & S newtonian damping                      (default: OFF)
+!-----------------------------------------------------------------------
+   ln_tradmp   =  .true.  !  add a damping term (using resto.nc coef.)
+/
+
+!!======================================================================
+!!                      ***  Dynamics namelists  ***                  !!
+!!                                                                    !!
+!!   nam_vvl       vertical coordinate options                          (default: z-star)
+!!   namdyn_adv    formulation of the momentum advection                (default: NO selection)
+!!   namdyn_vor    advection scheme                                     (default: NO selection)
+!!   namdyn_hpg    hydrostatic pressure gradient                        (default: NO selection)
+!!   namdyn_spg    surface pressure gradient                            (default: NO selection)
+!!   namdyn_ldf    lateral diffusion scheme                             (default: NO selection)
+!!   namdta_dyn    offline TOP: dynamics read in files                  (OFF_SRC only)
+!!======================================================================
+!
+!-----------------------------------------------------------------------
+&nam_vvl       !   vertical coordinate options                          (default: z-star)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namdyn_adv    !   formulation of the momentum advection                (default: NO selection)
+!-----------------------------------------------------------------------
+   ln_dynadv_vec = .true. !  vector form - 2nd centered scheme
+/
+!-----------------------------------------------------------------------
+&namdyn_vor    !   Vorticity / Coriolis scheme                          (default: NO selection)
+!-----------------------------------------------------------------------
+   ln_dynvor_een = .true. !  energy & enstrophy scheme
+/
+!-----------------------------------------------------------------------
+&namdyn_hpg    !   Hydrostatic pressure gradient option                 (default: NO selection)
+!-----------------------------------------------------------------------
+   ln_hpg_isf  = .true.   !  s-coordinate (sco ) adapted to isf
+/
+!-----------------------------------------------------------------------
+&namdyn_spg    !   surface pressure gradient                            (default: NO selection)
+!-----------------------------------------------------------------------
+   ln_dynspg_ts   = .true.   ! split-explicit free surface
+/
+!-----------------------------------------------------------------------
+&namdyn_ldf    !   lateral diffusion on momentum                        (default: NO selection)
+!-----------------------------------------------------------------------
+   !                       !  Type of the operator :
+   ln_dynldf_lap = .true.     !    laplacian operator
+   !                       !  Direction of action  :
+   ln_dynldf_hor = .true.     !  horizontal  (geopotential)
+   !                       !  Coefficient
+   nn_ahm_ijk_t  = 0           !  space/time variation of eddy coefficient :
+      !                             !  =  0  constant
+      !                        !  time invariant coefficients :  ahm = 1/2  Uv*Lv   (lap case)
+      rn_Uv      = 0.1              !  lateral viscous velocity [m/s] (nn_ahm_ijk_t= 0, 10, 20, 30)
+      rn_Lv      = 120              !  lateral viscous length   [m]   (nn_ahm_ijk_t= 0, 10)
+/
+!-----------------------------------------------------------------------
+&namdta_dyn    !   offline ocean input files                            (OFF_SRC only)
+!-----------------------------------------------------------------------
+/
+
+!!======================================================================
+!!                     vertical physics namelists                     !!
+!!                                                                    !!
+!!    namzdf        vertical physics manager                            (default: NO selection)
+!!    namzdf_ric    richardson number vertical mixing                   (ln_zdfric=T)
+!!    namzdf_tke    TKE vertical mixing                                 (ln_zdftke=T)
+!!    namzdf_gls    GLS vertical mixing                                 (ln_zdfgls=T)
+!!    namzdf_osm    OSM vertical diffusion                              (ln_zdfosm=T)
+!!    namzdf_iwm    tidal mixing parameterization                       (ln_zdfiwm=T)
+!!======================================================================
+!
+!-----------------------------------------------------------------------
+&namzdf        !   vertical physics manager                             (default: NO selection)
+!-----------------------------------------------------------------------
+   !
+   !                       ! type of vertical closure (required)
+   ln_zdfcst   = .true.       !  constant mixing
+   !
+   !                       ! convection
+   ln_zdfevd   = .true.       !  enhanced vertical diffusion
+      nn_evdm     =    1         ! apply on tracer (=0) or on tracer and momentum (=1)
+      rn_evd      =  0.1         ! mixing coefficient [m2/s]
+   !
+   !                       ! coefficients
+   rn_avm0     =   1.0e-3     !  vertical eddy viscosity   [m2/s]       (background Kz if ln_zdfcst=F)
+   rn_avt0     =   5.0e-5     !  vertical eddy diffusivity [m2/s]       (background Kz if ln_zdfcst=F)
+   nn_avb      =    0         !  profile for background avt & avm (=1) or not (=0)
+   nn_havtb    =    0         !  horizontal shape for avtb (=1) or not (=0)
+/
+!-----------------------------------------------------------------------
+&namzdf_ric    !   richardson number dependent vertical diffusion       (ln_zdfric =T)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namzdf_tke    !   turbulent eddy kinetic dependent vertical diffusion  (ln_zdftke =T)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namzdf_gls    !   GLS vertical diffusion                               (ln_zdfgls =T)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namzdf_osm    !   OSM vertical diffusion                               (ln_zdfosm =T)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namzdf_iwm    !    internal wave-driven mixing parameterization        (ln_zdfiwm =T)
+!-----------------------------------------------------------------------
+/
+
+!!======================================================================
+!!                  ***  Diagnostics namelists  ***                   !!
+!!                                                                    !!
+!!   namtrd       dynamics and/or tracer trends                         (default: OFF)
+!!   namptr       Poleward Transport Diagnostics                        (default: OFF)
+!!   namhsb       Heat and salt budgets                                 (default: OFF)
+!!   namdiu       Cool skin and warm layer models                       (default: OFF)
+!!   namdiu       Cool skin and warm layer models                       (default: OFF)
+!!   namflo       float parameters                                      ("key_float")
+!!   nam_diaharm  Harmonic analysis of tidal constituents               ("key_diaharm")
+!!   namdct       transports through some sections                      ("key_diadct")
+!!   nam_diatmb   Top Middle Bottom Output                              (default: OFF)
+!!   nam_dia25h   25h Mean Output                                       (default: OFF)
+!!   namnc4       netcdf4 chunking and compression settings             ("key_netcdf4")
+!!======================================================================
+!
+!-----------------------------------------------------------------------
+&namtrd        !   trend diagnostics                                    (default: OFF)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namptr        !   Poleward Transport Diagnostic                        (default: OFF)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namhsb        !  Heat and salt budgets                                 (default: OFF)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namdiu        !   Cool skin and warm layer models                      (default: OFF)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namflo        !   float parameters                                     ("key_float")
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&nam_diaharm   !   Harmonic analysis of tidal constituents              ("key_diaharm")
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namdct        ! transports through some sections                       ("key_diadct")
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&nam_diatmb    !  Top Middle Bottom Output                              (default: OFF)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&nam_dia25h    !  25h Mean Output                                       (default: OFF)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namnc4        !   netcdf4 chunking and compression settings            ("key_netcdf4")
+!-----------------------------------------------------------------------
+/
+
+!!======================================================================
+!!               ***  Observation & Assimilation  ***                 !!
+!!                                                                    !!
+!!   namobs       observation and model comparison                      (default: OFF)
+!!   nam_asminc   assimilation increments                               ('key_asminc')
+!!======================================================================
+!
+!-----------------------------------------------------------------------
+&namobs        !  observation usage switch                              (default: OFF)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&nam_asminc    !   assimilation increments                              ('key_asminc')
+!-----------------------------------------------------------------------
+/
+
+!!======================================================================
+!!                  ***  Miscellaneous namelists  ***                 !!
+!!                                                                    !!
+!!   nammpp            Massively Parallel Processing                    ("key_mpp_mpi")
+!!   namctl            Control prints                                   (default: OFF)
+!!   namsto            Stochastic parametrization of EOS                (default: OFF)
+!!======================================================================
+!
+!-----------------------------------------------------------------------
+&nammpp        !   Massively Parallel Processing                        ("key_mpp_mpi")
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namctl        !   Control prints                                       (default: OFF)
+!-----------------------------------------------------------------------
+/
+!-----------------------------------------------------------------------
+&namsto        ! Stochastic parametrization of EOS                      (default: OFF)
+!-----------------------------------------------------------------------
+/
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/namelist_ref
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/namelist_ref	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/EXPREF/namelist_ref	(revision 11889)
@@ -0,0 +1,1 @@
+link ../../../cfgs/SHARED/namelist_ref
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/dtatsd.F90
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/dtatsd.F90	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/dtatsd.F90	(revision 11889)
@@ -0,0 +1,264 @@
+MODULE dtatsd
+   !!======================================================================
+   !!                     ***  MODULE  dtatsd  ***
+   !! Ocean data  :  read ocean Temperature & Salinity Data from gridded data
+   !!======================================================================
+   !! History :  OPA  ! 1991-03  ()  Original code
+   !!             -   ! 1992-07  (M. Imbard)
+   !!            8.0  ! 1999-10  (M.A. Foujols, M. Imbard)  NetCDF FORMAT 
+   !!   NEMO     1.0  ! 2002-06  (G. Madec)  F90: Free form and module 
+   !!            3.3  ! 2010-10  (C. Bricaud, S. Masson)  use of fldread
+   !!            3.4  ! 2010-11  (G. Madec, C. Ethe) Merge of dtatem and dtasal + remove CPP keys
+   !!----------------------------------------------------------------------
+
+   !!----------------------------------------------------------------------
+   !!   dta_tsd      : read and time interpolated ocean Temperature & Salinity Data
+   !!----------------------------------------------------------------------
+   USE oce             ! ocean dynamics and tracers
+   USE phycst          ! physical constants
+   USE dom_oce         ! ocean space and time domain
+   USE fldread         ! read input fields
+   !
+   USE in_out_manager  ! I/O manager
+   USE lib_mpp         ! MPP library
+
+   IMPLICIT NONE
+   PRIVATE
+
+   PUBLIC   dta_tsd_init   ! called by opa.F90
+   PUBLIC   dta_tsd        ! called by istate.F90 and tradmp.90
+
+   !                                  !!* namtsd  namelist : Temperature & Salinity Data *
+   LOGICAL , PUBLIC ::   ln_tsd_init   !: T & S data flag
+   LOGICAL , PUBLIC ::   ln_tsd_dmp    !: internal damping toward input data flag
+
+   TYPE(FLD), ALLOCATABLE, DIMENSION(:) ::   sf_tsdini ! structure of input SST (file informations, fields read)
+   TYPE(FLD), ALLOCATABLE, DIMENSION(:) ::   sf_tsddmp ! structure of input SST (file informations, fields read)
+
+   !!----------------------------------------------------------------------
+   !! NEMO/OCE 4.0 , NEMO Consortium (2018)
+   !! $Id: dtatsd.F90 10213 2018-10-23 14:40:09Z aumont $ 
+   !! Software governed by the CeCILL license (see ./LICENSE)
+   !!----------------------------------------------------------------------
+CONTAINS
+
+   SUBROUTINE dta_tsd_init( ld_tradmp )
+      !!----------------------------------------------------------------------
+      !!                   ***  ROUTINE dta_tsd_init  ***
+      !!                    
+      !! ** Purpose :   initialisation of T & S input data 
+      !! 
+      !! ** Method  : - Read namtsd namelist
+      !!              - allocates T & S data structure 
+      !!----------------------------------------------------------------------
+      LOGICAL, INTENT(in), OPTIONAL ::   ld_tradmp   ! force the initialization when tradp is used
+      !
+      INTEGER ::   ios, ierr0, ierr1, ierr2, ierr3   ! local integers
+      !!
+      CHARACTER(len=100)            ::   cn_dir          ! Root directory for location of ssr files
+      TYPE(FLD_N), DIMENSION( jpts) ::   slf_i           ! array of namelist informations on the fields to read
+      TYPE(FLD_N)                   ::   sn_tem, sn_sal
+      TYPE(FLD_N)                   ::   sn_dmpt, sn_dmps
+      !!
+      NAMELIST/namtsd/   ln_tsd_init, ln_tsd_dmp, cn_dir, sn_tem, sn_sal, sn_dmpt, sn_dmps
+      !!----------------------------------------------------------------------
+      !
+      !  Initialisation
+      ierr0 = 0  ;  ierr1 = 0  ;  ierr2 = 0  ;  ierr3 = 0
+      !
+      REWIND( numnam_ref )              ! Namelist namtsd in reference namelist : 
+      READ  ( numnam_ref, namtsd, IOSTAT = ios, ERR = 901)
+901   IF( ios /= 0 )   CALL ctl_nam ( ios , 'namtsd in reference namelist', lwp )
+      REWIND( numnam_cfg )              ! Namelist namtsd in configuration namelist : Parameters of the run
+      READ  ( numnam_cfg, namtsd, IOSTAT = ios, ERR = 902 )
+902   IF( ios >  0 )   CALL ctl_nam ( ios , 'namtsd in configuration namelist', lwp )
+      IF(lwm) WRITE ( numond, namtsd )
+
+      IF( PRESENT( ld_tradmp ) )   ln_tsd_dmp = .TRUE.     ! forces the initialization when tradmp is used
+      
+      IF(lwp) THEN                  ! control print
+         WRITE(numout,*)
+         WRITE(numout,*) 'dta_tsd_init : Temperature & Salinity data '
+         WRITE(numout,*) '~~~~~~~~~~~~ '
+         WRITE(numout,*) '   Namelist namtsd'
+         WRITE(numout,*) '      Initialisation of ocean T & S with T &S input data   ln_tsd_init = ', ln_tsd_init
+         WRITE(numout,*) '      damping of ocean T & S toward T &S input data        ln_tsd_dmp  = ', ln_tsd_dmp
+         WRITE(numout,*)
+         IF( .NOT.ln_tsd_init .AND. .NOT.ln_tsd_dmp ) THEN
+            WRITE(numout,*)
+            WRITE(numout,*) '   ===>>   T & S data not used'
+         ENDIF
+      ENDIF
+      !
+      IF( ln_rstart .AND. ln_tsd_init ) THEN
+         CALL ctl_warn( 'dta_tsd_init: ocean restart and T & S data intialisation, ',   &
+            &           'we keep the restart T & S values and set ln_tsd_init to FALSE' )
+         ln_tsd_init = .FALSE.
+      ENDIF
+      !
+      !                             ! allocate the arrays (if necessary)
+      IF( ln_tsd_init ) THEN
+         !
+         ALLOCATE( sf_tsdini(jpts), STAT=ierr0 )
+         IF( ierr0 > 0 ) THEN
+            CALL ctl_stop( 'dta_tsd_init: unable to allocate sf_tsd structure' )   ;   RETURN
+         ENDIF
+         !
+                                ALLOCATE( sf_tsdini(jp_tem)%fnow(jpi,jpj,jpk)   , STAT=ierr0 )
+         IF( sn_tem%ln_tint )   ALLOCATE( sf_tsdini(jp_tem)%fdta(jpi,jpj,jpk,2) , STAT=ierr1 )
+                                ALLOCATE( sf_tsdini(jp_sal)%fnow(jpi,jpj,jpk)   , STAT=ierr2 )
+         IF( sn_sal%ln_tint )   ALLOCATE( sf_tsdini(jp_sal)%fdta(jpi,jpj,jpk,2) , STAT=ierr3 )
+         !
+         IF( ierr0 + ierr1 + ierr2 + ierr3 > 0 ) THEN
+            CALL ctl_stop( 'dta_tsd : unable to allocate T & S data arrays' )   ;   RETURN
+         ENDIF
+         !
+         !                         ! fill sf_tsd with sn_tem & sn_sal and control print
+         slf_i(jp_tem) = sn_tem   ;   slf_i(jp_sal) = sn_sal
+         CALL fld_fill( sf_tsdini, slf_i, cn_dir, 'dta_tsd', 'Temperature & Salinity data', 'namtsd', no_print )
+         !
+      END IF
+
+      IF( ln_tsd_dmp ) THEN
+         !
+         ALLOCATE( sf_tsddmp(jpts), STAT=ierr0 )
+         IF( ierr0 > 0 ) THEN
+            CALL ctl_stop( 'dta_tsd_init: unable to allocate sf_tsddmp structure' )   ;   RETURN
+         ENDIF
+         !
+         ! dmp file
+                                 ALLOCATE( sf_tsddmp(jp_tem)%fnow(jpi,jpj,jpk)   , STAT=ierr0 )
+         IF( sn_dmpt%ln_tint )   ALLOCATE( sf_tsddmp(jp_tem)%fdta(jpi,jpj,jpk,2) , STAT=ierr1 )
+                                 ALLOCATE( sf_tsddmp(jp_sal)%fnow(jpi,jpj,jpk)   , STAT=ierr2 )
+         IF( sn_dmps%ln_tint )   ALLOCATE( sf_tsddmp(jp_sal)%fdta(jpi,jpj,jpk,2) , STAT=ierr3 )
+         !
+         IF( ierr0 + ierr1 + ierr2 + ierr3 > 0 ) THEN
+            CALL ctl_stop( 'dta_tsd : unable to allocate T & S dmp data arrays' )   ;   RETURN
+         ENDIF
+         !
+         !                         ! fill sf_tsd with sn_tem & sn_sal and control print
+         slf_i(jp_tem) = sn_dmpt   ;   slf_i(jp_sal) = sn_dmps
+         CALL fld_fill( sf_tsddmp, slf_i, cn_dir, 'dta_tsd', 'Temperature & Salinity dmp data', 'namtsd', no_print )
+         !
+      ENDIF
+      !
+   END SUBROUTINE dta_tsd_init
+
+
+   SUBROUTINE dta_tsd( kt, cddta, ptsd )
+      !!----------------------------------------------------------------------
+      !!                   ***  ROUTINE dta_tsd  ***
+      !!                    
+      !! ** Purpose :   provides T and S data at kt
+      !! 
+      !! ** Method  : - call fldread routine
+      !!              - ORCA_R2: add some hand made alteration to read data  
+      !!              - 'key_orca_lev10' interpolates on 10 times more levels
+      !!              - s- or mixed z-s coordinate: vertical interpolation on model mesh
+      !!              - ln_tsd_dmp=F: deallocates the T-S data structure
+      !!                as T-S data are no are used
+      !!
+      !! ** Action  :   ptsd   T-S data on medl mesh and interpolated at time-step kt
+      !!----------------------------------------------------------------------
+      INTEGER                              , INTENT(in   ) ::   kt     ! ocean time-step
+      CHARACTER(LEN=3)                     , INTENT(in   ) ::   cddta  ! dmp or ini
+      REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(  out) ::   ptsd   ! T & S data
+      !
+      INTEGER ::   ji, jj, jk, jl, jkk   ! dummy loop indicies
+      INTEGER ::   ik, il0, il1, ii0, ii1, ij0, ij1   ! local integers
+      REAL(wp)::   zl, zi                             ! local scalars
+      REAL(wp), DIMENSION(jpk) ::  ztp, zsp   ! 1D workspace
+      !!----------------------------------------------------------------------
+      !
+      SELECT CASE(cddta)
+      CASE('ini') 
+         CALL fld_read( kt, 1, sf_tsdini ) !==   read T & S data at kt time step   ==!
+         ptsd(:,:,:,jp_tem) = sf_tsdini(jp_tem)%fnow(:,:,:)    ! NO mask
+         ptsd(:,:,:,jp_sal) = sf_tsdini(jp_sal)%fnow(:,:,:) 
+      CASE('dmp')
+         CALL fld_read( kt, 1, sf_tsddmp ) !==   read T & S data at kt time step   ==!
+         ptsd(:,:,:,jp_tem) = sf_tsddmp(jp_tem)%fnow(:,:,:)    ! NO mask
+         ptsd(:,:,:,jp_sal) = sf_tsddmp(jp_sal)%fnow(:,:,:) 
+      CASE DEFAULT
+         CALL ctl_stop('STOP', 'dta_tsd: cddta case unknown')
+      END SELECT
+      !
+      IF( ln_sco ) THEN                   !==   s- or mixed s-zps-coordinate   ==!
+         !
+         IF( kt == nit000 .AND. lwp )THEN
+            WRITE(numout,*)
+            WRITE(numout,*) 'dta_tsd: interpolates T & S data onto the s- or mixed s-z-coordinate mesh'
+         ENDIF
+         !
+         DO jj = 1, jpj                         ! vertical interpolation of T & S
+            DO ji = 1, jpi
+               DO jk = 1, jpk                        ! determines the intepolated T-S profiles at each (i,j) points
+                  zl = gdept_0(ji,jj,jk)
+                  IF(     zl < gdept_1d(1  ) ) THEN          ! above the first level of data
+                     ztp(jk) =  ptsd(ji,jj,1    ,jp_tem)
+                     zsp(jk) =  ptsd(ji,jj,1    ,jp_sal)
+                  ELSEIF( zl > gdept_1d(jpk) ) THEN          ! below the last level of data
+                     ztp(jk) =  ptsd(ji,jj,jpkm1,jp_tem)
+                     zsp(jk) =  ptsd(ji,jj,jpkm1,jp_sal)
+                  ELSE                                      ! inbetween : vertical interpolation between jkk & jkk+1
+                     DO jkk = 1, jpkm1                                  ! when  gdept(jkk) < zl < gdept(jkk+1)
+                        IF( (zl-gdept_1d(jkk)) * (zl-gdept_1d(jkk+1)) <= 0._wp ) THEN
+                           zi = ( zl - gdept_1d(jkk) ) / (gdept_1d(jkk+1)-gdept_1d(jkk))
+                           ztp(jk) = ptsd(ji,jj,jkk,jp_tem) + ( ptsd(ji,jj,jkk+1,jp_tem) - ptsd(ji,jj,jkk,jp_tem) ) * zi 
+                           zsp(jk) = ptsd(ji,jj,jkk,jp_sal) + ( ptsd(ji,jj,jkk+1,jp_sal) - ptsd(ji,jj,jkk,jp_sal) ) * zi
+                        ENDIF
+                     END DO
+                  ENDIF
+               END DO
+               DO jk = 1, jpkm1
+                  ptsd(ji,jj,jk,jp_tem) = ztp(jk) * tmask(ji,jj,jk)     ! mask required for mixed zps-s-coord
+                  ptsd(ji,jj,jk,jp_sal) = zsp(jk) * tmask(ji,jj,jk)
+               END DO
+               ptsd(ji,jj,jpk,jp_tem) = 0._wp
+               ptsd(ji,jj,jpk,jp_sal) = 0._wp
+            END DO
+         END DO
+         ! 
+      ELSE                                !==   z- or zps- coordinate   ==!
+         !                             
+         ptsd(:,:,:,jp_tem) = ptsd(:,:,:,jp_tem) * tmask(:,:,:)    ! Mask
+         ptsd(:,:,:,jp_sal) = ptsd(:,:,:,jp_sal) * tmask(:,:,:)
+         !
+         IF( ln_zps ) THEN                      ! zps-coordinate (partial steps) interpolation at the last ocean level
+            DO jj = 1, jpj
+               DO ji = 1, jpi
+                  ik = mbkt(ji,jj) 
+                  IF( ik > 1 ) THEN
+                     zl = ( gdept_1d(ik) - gdept_0(ji,jj,ik) ) / ( gdept_1d(ik) - gdept_1d(ik-1) )
+                     ptsd(ji,jj,ik,jp_tem) = (1.-zl) * ptsd(ji,jj,ik,jp_tem) + zl * ptsd(ji,jj,ik-1,jp_tem)
+                     ptsd(ji,jj,ik,jp_sal) = (1.-zl) * ptsd(ji,jj,ik,jp_sal) + zl * ptsd(ji,jj,ik-1,jp_sal)
+                  ENDIF
+                  ik = mikt(ji,jj)
+                  IF( ik > 1 ) THEN
+                     zl = ( gdept_0(ji,jj,ik) - gdept_1d(ik) ) / ( gdept_1d(ik+1) - gdept_1d(ik) ) 
+                     ptsd(ji,jj,ik,jp_tem) = (1.-zl) * ptsd(ji,jj,ik,jp_tem) + zl * ptsd(ji,jj,ik+1,jp_tem)
+                     ptsd(ji,jj,ik,jp_sal) = (1.-zl) * ptsd(ji,jj,ik,jp_sal) + zl * ptsd(ji,jj,ik+1,jp_sal)
+                  END IF
+               END DO
+            END DO
+         ENDIF
+         !
+      ENDIF
+      !
+      SELECT CASE(cddta)
+      CASE('ini') 
+         !                        !==   deallocate T & S structure   ==! 
+         !                                              (data used only for initialisation)
+         IF(lwp) WRITE(numout,*) 'dta_tsd: deallocte T & S arrays as they are only use to initialize the run'
+                                        DEALLOCATE( sf_tsdini(jp_tem)%fnow )     ! T arrays in the structure
+         IF( sf_tsdini(jp_tem)%ln_tint )   DEALLOCATE( sf_tsdini(jp_tem)%fdta )
+                                        DEALLOCATE( sf_tsdini(jp_sal)%fnow )     ! S arrays in the structure
+         IF( sf_tsdini(jp_sal)%ln_tint )   DEALLOCATE( sf_tsdini(jp_sal)%fdta )
+                                        DEALLOCATE( sf_tsdini              )     ! the structure itself
+         !
+      END SELECT
+      !
+   END SUBROUTINE dta_tsd
+
+   !!======================================================================
+END MODULE dtatsd
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/eosbn2.F90
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/eosbn2.F90	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/eosbn2.F90	(revision 11889)
@@ -0,0 +1,1844 @@
+MODULE eosbn2
+   !!==============================================================================
+   !!                       ***  MODULE  eosbn2  ***
+   !! Equation Of Seawater : in situ density - Brunt-Vaisala frequency
+   !!==============================================================================
+   !! History :  OPA  ! 1989-03  (O. Marti)  Original code
+   !!            6.0  ! 1994-07  (G. Madec, M. Imbard)  add bn2
+   !!            6.0  ! 1994-08  (G. Madec)  Add Jackett & McDougall eos
+   !!            7.0  ! 1996-01  (G. Madec)  statement function for e3
+   !!            8.1  ! 1997-07  (G. Madec)  density instead of volumic mass
+   !!             -   ! 1999-02  (G. Madec, N. Grima) semi-implicit pressure gradient
+   !!            8.2  ! 2001-09  (M. Ben Jelloul)  bugfix on linear eos
+   !!   NEMO     1.0  ! 2002-10  (G. Madec)  add eos_init
+   !!             -   ! 2002-11  (G. Madec, A. Bozec)  partial step, eos_insitu_2d
+   !!             -   ! 2003-08  (G. Madec)  F90, free form
+   !!            3.0  ! 2006-08  (G. Madec)  add tfreez function (now eos_fzp function)
+   !!            3.3  ! 2010-05  (C. Ethe, G. Madec)  merge TRC-TRA
+   !!             -   ! 2010-10  (G. Nurser, G. Madec)  add alpha/beta used in ldfslp
+   !!            3.7  ! 2012-03  (F. Roquet, G. Madec)  add primitive of alpha and beta used in PE computation
+   !!             -   ! 2012-05  (F. Roquet)  add Vallis and original JM95 equation of state
+   !!             -   ! 2013-04  (F. Roquet, G. Madec)  add eos_rab, change bn2 computation and reorganize the module
+   !!             -   ! 2014-09  (F. Roquet)  add TEOS-10, S-EOS, and modify EOS-80
+   !!             -   ! 2015-06  (P.A. Bouttier) eos_fzp functions changed to subroutines for AGRIF
+   !!----------------------------------------------------------------------
+
+   !!----------------------------------------------------------------------
+   !!   eos           : generic interface of the equation of state
+   !!   eos_insitu    : Compute the in situ density
+   !!   eos_insitu_pot: Compute the insitu and surface referenced potential volumic mass
+   !!   eos_insitu_2d : Compute the in situ density for 2d fields
+   !!   bn2           : Compute the Brunt-Vaisala frequency
+   !!   eos_rab       : generic interface of in situ thermal/haline expansion ratio 
+   !!   eos_rab_3d    : compute in situ thermal/haline expansion ratio
+   !!   eos_rab_2d    : compute in situ thermal/haline expansion ratio for 2d fields
+   !!   eos_fzp_2d    : freezing temperature for 2d fields
+   !!   eos_fzp_0d    : freezing temperature for scalar
+   !!   eos_init      : set eos parameters (namelist)
+   !!----------------------------------------------------------------------
+   USE dom_oce        ! ocean space and time domain
+   USE phycst         ! physical constants
+   USE stopar         ! Stochastic T/S fluctuations
+   USE stopts         ! Stochastic T/S fluctuations
+   !
+   USE in_out_manager ! I/O manager
+   USE lib_mpp        ! MPP library
+   USE lib_fortran    ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined)  
+   USE prtctl         ! Print control
+   USE lbclnk         ! ocean lateral boundary conditions
+   USE timing         ! Timing
+
+   IMPLICIT NONE
+   PRIVATE
+
+   !                  !! * Interface
+   INTERFACE eos
+      MODULE PROCEDURE eos_insitu, eos_insitu_pot, eos_insitu_2d
+   END INTERFACE
+   !
+   INTERFACE eos_rab
+      MODULE PROCEDURE rab_3d, rab_2d, rab_0d
+   END INTERFACE
+   !
+   INTERFACE eos_fzp 
+      MODULE PROCEDURE eos_fzp_2d, eos_fzp_0d
+   END INTERFACE
+   !
+   PUBLIC   eos            ! called by step, istate, tranpc and zpsgrd modules
+   PUBLIC   bn2            ! called by step module
+   PUBLIC   eos_rab        ! called by ldfslp, zdfddm, trabbl
+   PUBLIC   eos_pt_from_ct ! called by sbcssm
+   PUBLIC   eos_fzp        ! called by traadv_cen2 and sbcice_... modules
+   PUBLIC   eos_pen        ! used for pe diagnostics in trdpen module
+   PUBLIC   eos_init       ! called by istate module
+
+   !                               !!** Namelist nameos **
+   LOGICAL , PUBLIC ::   ln_TEOS10   ! determine if eos_pt_from_ct is used to compute sst_m
+   LOGICAL , PUBLIC ::   ln_EOS80   ! determine if eos_pt_from_ct is used to compute sst_m
+   LOGICAL , PUBLIC ::   ln_SEOS   ! determine if eos_pt_from_ct is used to compute sst_m
+   LOGICAL , PUBLIC ::   ln_LEOS   ! determine if linear eos is used 
+
+   ! Parameters
+   LOGICAL , PUBLIC    ::   l_useCT         ! =T in ln_TEOS10=T (i.e. use eos_pt_from_ct to compute sst_m), =F otherwise
+   INTEGER , PUBLIC    ::   neos            ! Identifier for equation of state used
+
+   INTEGER , PARAMETER ::   np_teos10 = -1  ! parameter for using TEOS10
+   INTEGER , PARAMETER ::   np_eos80  =  0  ! parameter for using EOS80
+   INTEGER , PARAMETER ::   np_seos   = 1   ! parameter for using Simplified Equation of state
+   INTEGER , PARAMETER ::   np_leos   =  2  ! parameter for using linear equation of state (ISOMIP+)
+
+   !                               !!!  simplified eos coefficients (default value: Vallis 2006)
+   REAL(wp) ::   rn_a0      = 1.6550e-1_wp     ! thermal expansion coeff. 
+   REAL(wp) ::   rn_b0      = 7.6554e-1_wp     ! saline  expansion coeff. 
+   REAL(wp) ::   rn_lambda1 = 5.9520e-2_wp     ! cabbeling coeff. in T^2        
+   REAL(wp) ::   rn_lambda2 = 5.4914e-4_wp     ! cabbeling coeff. in S^2        
+   REAL(wp) ::   rn_mu1     = 1.4970e-4_wp     ! thermobaric coeff. in T  
+   REAL(wp) ::   rn_mu2     = 1.1090e-5_wp     ! thermobaric coeff. in S  
+   REAL(wp) ::   rn_nu      = 2.4341e-3_wp     ! cabbeling coeff. in theta*salt  
+   
+   ! TEOS10/EOS80 parameters
+   REAL(wp) ::   r1_S0, r1_T0, r1_Z0, rdeltaS
+   
+   ! EOS parameters
+   REAL(wp) ::   EOS000 , EOS100 , EOS200 , EOS300 , EOS400 , EOS500 , EOS600
+   REAL(wp) ::   EOS010 , EOS110 , EOS210 , EOS310 , EOS410 , EOS510
+   REAL(wp) ::   EOS020 , EOS120 , EOS220 , EOS320 , EOS420
+   REAL(wp) ::   EOS030 , EOS130 , EOS230 , EOS330
+   REAL(wp) ::   EOS040 , EOS140 , EOS240
+   REAL(wp) ::   EOS050 , EOS150
+   REAL(wp) ::   EOS060
+   REAL(wp) ::   EOS001 , EOS101 , EOS201 , EOS301 , EOS401
+   REAL(wp) ::   EOS011 , EOS111 , EOS211 , EOS311
+   REAL(wp) ::   EOS021 , EOS121 , EOS221
+   REAL(wp) ::   EOS031 , EOS131
+   REAL(wp) ::   EOS041
+   REAL(wp) ::   EOS002 , EOS102 , EOS202
+   REAL(wp) ::   EOS012 , EOS112
+   REAL(wp) ::   EOS022
+   REAL(wp) ::   EOS003 , EOS103
+   REAL(wp) ::   EOS013 
+   
+   ! ALPHA parameters
+   REAL(wp) ::   ALP000 , ALP100 , ALP200 , ALP300 , ALP400 , ALP500
+   REAL(wp) ::   ALP010 , ALP110 , ALP210 , ALP310 , ALP410
+   REAL(wp) ::   ALP020 , ALP120 , ALP220 , ALP320
+   REAL(wp) ::   ALP030 , ALP130 , ALP230
+   REAL(wp) ::   ALP040 , ALP140
+   REAL(wp) ::   ALP050
+   REAL(wp) ::   ALP001 , ALP101 , ALP201 , ALP301
+   REAL(wp) ::   ALP011 , ALP111 , ALP211
+   REAL(wp) ::   ALP021 , ALP121
+   REAL(wp) ::   ALP031
+   REAL(wp) ::   ALP002 , ALP102
+   REAL(wp) ::   ALP012
+   REAL(wp) ::   ALP003
+   
+   ! BETA parameters
+   REAL(wp) ::   BET000 , BET100 , BET200 , BET300 , BET400 , BET500
+   REAL(wp) ::   BET010 , BET110 , BET210 , BET310 , BET410
+   REAL(wp) ::   BET020 , BET120 , BET220 , BET320
+   REAL(wp) ::   BET030 , BET130 , BET230
+   REAL(wp) ::   BET040 , BET140
+   REAL(wp) ::   BET050
+   REAL(wp) ::   BET001 , BET101 , BET201 , BET301
+   REAL(wp) ::   BET011 , BET111 , BET211
+   REAL(wp) ::   BET021 , BET121
+   REAL(wp) ::   BET031
+   REAL(wp) ::   BET002 , BET102
+   REAL(wp) ::   BET012
+   REAL(wp) ::   BET003
+
+   ! PEN parameters
+   REAL(wp) ::   PEN000 , PEN100 , PEN200 , PEN300 , PEN400
+   REAL(wp) ::   PEN010 , PEN110 , PEN210 , PEN310
+   REAL(wp) ::   PEN020 , PEN120 , PEN220
+   REAL(wp) ::   PEN030 , PEN130
+   REAL(wp) ::   PEN040
+   REAL(wp) ::   PEN001 , PEN101 , PEN201
+   REAL(wp) ::   PEN011 , PEN111
+   REAL(wp) ::   PEN021
+   REAL(wp) ::   PEN002 , PEN102
+   REAL(wp) ::   PEN012
+   
+   ! ALPHA_PEN parameters
+   REAL(wp) ::   APE000 , APE100 , APE200 , APE300
+   REAL(wp) ::   APE010 , APE110 , APE210
+   REAL(wp) ::   APE020 , APE120
+   REAL(wp) ::   APE030
+   REAL(wp) ::   APE001 , APE101
+   REAL(wp) ::   APE011
+   REAL(wp) ::   APE002
+
+   ! BETA_PEN parameters
+   REAL(wp) ::   BPE000 , BPE100 , BPE200 , BPE300
+   REAL(wp) ::   BPE010 , BPE110 , BPE210
+   REAL(wp) ::   BPE020 , BPE120
+   REAL(wp) ::   BPE030
+   REAL(wp) ::   BPE001 , BPE101
+   REAL(wp) ::   BPE011
+   REAL(wp) ::   BPE002
+
+   !! * Substitutions
+#  include "vectopt_loop_substitute.h90"
+   !!----------------------------------------------------------------------
+   !! NEMO/OCE 4.0 , NEMO Consortium (2018)
+   !! $Id: eosbn2.F90 10425 2018-12-19 21:54:16Z smasson $
+   !! Software governed by the CeCILL license (see ./LICENSE)
+   !!----------------------------------------------------------------------
+CONTAINS
+
+   SUBROUTINE eos_insitu( pts, prd, pdep )
+      !!----------------------------------------------------------------------
+      !!                   ***  ROUTINE eos_insitu  ***
+      !!
+      !! ** Purpose :   Compute the in situ density (ratio rho/rau0) from
+      !!       potential temperature and salinity using an equation of state
+      !!       selected in the nameos namelist
+      !!
+      !! ** Method  :   prd(t,s,z) = ( rho(t,s,z) - rau0 ) / rau0
+      !!         with   prd    in situ density anomaly      no units
+      !!                t      TEOS10: CT or EOS80: PT      Celsius
+      !!                s      TEOS10: SA or EOS80: SP      TEOS10: g/kg or EOS80: psu
+      !!                z      depth                        meters
+      !!                rho    in situ density              kg/m^3
+      !!                rau0   reference density            kg/m^3
+      !!
+      !!     ln_teos10 : polynomial TEOS-10 equation of state is used for rho(t,s,z).
+      !!         Check value: rho = 1028.21993233072 kg/m^3 for z=3000 dbar, ct=3 Celsius, sa=35.5 g/kg
+      !!
+      !!     ln_eos80 : polynomial EOS-80 equation of state is used for rho(t,s,z).
+      !!         Check value: rho = 1028.35011066567 kg/m^3 for z=3000 dbar, pt=3 Celsius, sp=35.5 psu
+      !!
+      !!     ln_seos : simplified equation of state
+      !!              prd(t,s,z) = ( -a0*(1+lambda/2*(T-T0)+mu*z+nu*(S-S0))*(T-T0) + b0*(S-S0) ) / rau0
+      !!              linear case function of T only: rn_alpha<>0, other coefficients = 0
+      !!              linear eos function of T and S: rn_alpha and rn_beta<>0, other coefficients=0
+      !!              Vallis like equation: use default values of coefficients
+      !!
+      !!     ln_leos : linear ISOMIP equation of state
+      !!              prd(t,s,z) = ( -a0*(T-T0) + b0*(S-S0) ) / rau0
+      !!              setup for ISOMIP linear eos
+      !!
+      !! ** Action  :   compute prd , the in situ density (no units)
+      !!
+      !! References :   Roquet et al, Ocean Modelling, in preparation (2014)
+      !!                Vallis, Atmospheric and Oceanic Fluid Dynamics, 2006
+      !!                TEOS-10 Manual, 2010
+      !!----------------------------------------------------------------------
+      REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(in   ) ::   pts   ! 1 : potential temperature  [Celsius]
+      !                                                               ! 2 : salinity               [psu]
+      REAL(wp), DIMENSION(jpi,jpj,jpk     ), INTENT(  out) ::   prd   ! in situ density            [-]
+      REAL(wp), DIMENSION(jpi,jpj,jpk     ), INTENT(in   ) ::   pdep  ! depth                      [m]
+      !
+      INTEGER  ::   ji, jj, jk                ! dummy loop indices
+      REAL(wp) ::   zt , zh , zs , ztm        ! local scalars
+      REAL(wp) ::   zn , zn0, zn1, zn2, zn3   !   -      -
+      !!----------------------------------------------------------------------
+      !
+      IF( ln_timing )   CALL timing_start('eos-insitu')
+      !
+      SELECT CASE( neos )
+      !
+      CASE( np_teos10, np_eos80 )                !==  polynomial TEOS-10 / EOS-80 ==!
+         !
+         DO jk = 1, jpkm1
+            DO jj = 1, jpj
+               DO ji = 1, jpi
+                  !
+                  zh  = pdep(ji,jj,jk) * r1_Z0                                  ! depth
+                  zt  = pts (ji,jj,jk,jp_tem) * r1_T0                           ! temperature
+                  zs  = SQRT( ABS( pts(ji,jj,jk,jp_sal) + rdeltaS ) * r1_S0 )   ! square root salinity
+                  ztm = tmask(ji,jj,jk)                                         ! tmask
+                  !
+                  zn3 = EOS013*zt   &
+                     &   + EOS103*zs+EOS003
+                     !
+                  zn2 = (EOS022*zt   &
+                     &   + EOS112*zs+EOS012)*zt   &
+                     &   + (EOS202*zs+EOS102)*zs+EOS002
+                     !
+                  zn1 = (((EOS041*zt   &
+                     &   + EOS131*zs+EOS031)*zt   &
+                     &   + (EOS221*zs+EOS121)*zs+EOS021)*zt   &
+                     &   + ((EOS311*zs+EOS211)*zs+EOS111)*zs+EOS011)*zt   &
+                     &   + (((EOS401*zs+EOS301)*zs+EOS201)*zs+EOS101)*zs+EOS001
+                     !
+                  zn0 = (((((EOS060*zt   &
+                     &   + EOS150*zs+EOS050)*zt   &
+                     &   + (EOS240*zs+EOS140)*zs+EOS040)*zt   &
+                     &   + ((EOS330*zs+EOS230)*zs+EOS130)*zs+EOS030)*zt   &
+                     &   + (((EOS420*zs+EOS320)*zs+EOS220)*zs+EOS120)*zs+EOS020)*zt   &
+                     &   + ((((EOS510*zs+EOS410)*zs+EOS310)*zs+EOS210)*zs+EOS110)*zs+EOS010)*zt   &
+                     &   + (((((EOS600*zs+EOS500)*zs+EOS400)*zs+EOS300)*zs+EOS200)*zs+EOS100)*zs+EOS000
+                     !
+                  zn  = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0
+                  !
+                  prd(ji,jj,jk) = (  zn * r1_rau0 - 1._wp  ) * ztm  ! density anomaly (masked)
+                  !
+               END DO
+            END DO
+         END DO
+         !
+      CASE( np_seos )                !==  simplified EOS  ==!
+         !
+         DO jk = 1, jpkm1
+            DO jj = 1, jpj
+               DO ji = 1, jpi
+                  zt  = pts  (ji,jj,jk,jp_tem) - 10._wp
+                  zs  = pts  (ji,jj,jk,jp_sal) - 35._wp
+                  zh  = pdep (ji,jj,jk)
+                  ztm = tmask(ji,jj,jk)
+                  !
+                  zn =  - rn_a0 * ( 1._wp + 0.5_wp*rn_lambda1*zt + rn_mu1*zh ) * zt   &
+                     &  + rn_b0 * ( 1._wp - 0.5_wp*rn_lambda2*zs - rn_mu2*zh ) * zs   &
+                     &  - rn_nu * zt * zs
+                     !                                 
+                  prd(ji,jj,jk) = zn * r1_rau0 * ztm                ! density anomaly (masked)
+               END DO
+            END DO
+         END DO
+         !
+      CASE( np_leos )                !==  linear ISOMIP EOS  ==!
+         !
+         DO jk = 1, jpkm1
+            DO jj = 1, jpj
+               DO ji = 1, jpi
+                  zt  = pts  (ji,jj,jk,jp_tem) - (-1._wp)
+                  zs  = pts  (ji,jj,jk,jp_sal) - 34.2_wp
+                  zh  = pdep (ji,jj,jk)
+                  ztm = tmask(ji,jj,jk)
+                  !
+                  zn =  rau0 * ( - rn_a0 * zt + rn_b0 * zs )
+                  !                                 
+                  prd(ji,jj,jk) = zn * r1_rau0 * ztm                ! density anomaly (masked)
+               END DO
+            END DO
+         END DO
+         !
+      END SELECT
+      !
+      IF(ln_ctl)   CALL prt_ctl( tab3d_1=prd, clinfo1=' eos-insitu  : ', kdim=jpk )
+      !
+      IF( ln_timing )   CALL timing_stop('eos-insitu')
+      !
+   END SUBROUTINE eos_insitu
+
+
+   SUBROUTINE eos_insitu_pot( pts, prd, prhop, pdep )
+      !!----------------------------------------------------------------------
+      !!                  ***  ROUTINE eos_insitu_pot  ***
+      !!
+      !! ** Purpose :   Compute the in situ density (ratio rho/rau0) and the
+      !!      potential volumic mass (Kg/m3) from potential temperature and
+      !!      salinity fields using an equation of state selected in the
+      !!     namelist.
+      !!
+      !! ** Action  : - prd  , the in situ density (no units)
+      !!              - prhop, the potential volumic mass (Kg/m3)
+      !!
+      !!----------------------------------------------------------------------
+      REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(in   ) ::   pts    ! 1 : potential temperature  [Celsius]
+      !                                                                ! 2 : salinity               [psu]
+      REAL(wp), DIMENSION(jpi,jpj,jpk     ), INTENT(  out) ::   prd    ! in situ density            [-]
+      REAL(wp), DIMENSION(jpi,jpj,jpk     ), INTENT(  out) ::   prhop  ! potential density (surface referenced)
+      REAL(wp), DIMENSION(jpi,jpj,jpk     ), INTENT(in   ) ::   pdep   ! depth                      [m]
+      !
+      INTEGER  ::   ji, jj, jk, jsmp             ! dummy loop indices
+      INTEGER  ::   jdof
+      REAL(wp) ::   zt , zh , zstemp, zs , ztm   ! local scalars
+      REAL(wp) ::   zn , zn0, zn1, zn2, zn3      !   -      -
+      REAL(wp), DIMENSION(:), ALLOCATABLE :: zn0_sto, zn_sto, zsign    ! local vectors
+      !!----------------------------------------------------------------------
+      !
+      IF( ln_timing )   CALL timing_start('eos-pot')
+      !
+      SELECT CASE ( neos )
+      !
+      CASE( np_teos10, np_eos80 )                !==  polynomial TEOS-10 / EOS-80 ==!
+         !
+         ! Stochastic equation of state
+         IF ( ln_sto_eos ) THEN
+            ALLOCATE(zn0_sto(1:2*nn_sto_eos))
+            ALLOCATE(zn_sto(1:2*nn_sto_eos))
+            ALLOCATE(zsign(1:2*nn_sto_eos))
+            DO jsmp = 1, 2*nn_sto_eos, 2
+              zsign(jsmp)   = 1._wp
+              zsign(jsmp+1) = -1._wp
+            END DO
+            !
+            DO jk = 1, jpkm1
+               DO jj = 1, jpj
+                  DO ji = 1, jpi
+                     !
+                     ! compute density (2*nn_sto_eos) times:
+                     ! (1) for t+dt, s+ds (with the random TS fluctutation computed in sto_pts)
+                     ! (2) for t-dt, s-ds (with the opposite fluctuation)
+                     DO jsmp = 1, nn_sto_eos*2
+                        jdof   = (jsmp + 1) / 2
+                        zh     = pdep(ji,jj,jk) * r1_Z0                                  ! depth
+                        zt     = (pts (ji,jj,jk,jp_tem) + pts_ran(ji,jj,jk,jp_tem,jdof) * zsign(jsmp)) * r1_T0    ! temperature
+                        zstemp = pts  (ji,jj,jk,jp_sal) + pts_ran(ji,jj,jk,jp_sal,jdof) * zsign(jsmp)
+                        zs     = SQRT( ABS( zstemp + rdeltaS ) * r1_S0 )   ! square root salinity
+                        ztm    = tmask(ji,jj,jk)                                         ! tmask
+                        !
+                        zn3 = EOS013*zt   &
+                           &   + EOS103*zs+EOS003
+                           !
+                        zn2 = (EOS022*zt   &
+                           &   + EOS112*zs+EOS012)*zt   &
+                           &   + (EOS202*zs+EOS102)*zs+EOS002
+                           !
+                        zn1 = (((EOS041*zt   &
+                           &   + EOS131*zs+EOS031)*zt   &
+                           &   + (EOS221*zs+EOS121)*zs+EOS021)*zt   &
+                           &   + ((EOS311*zs+EOS211)*zs+EOS111)*zs+EOS011)*zt   &
+                           &   + (((EOS401*zs+EOS301)*zs+EOS201)*zs+EOS101)*zs+EOS001
+                           !
+                        zn0_sto(jsmp) = (((((EOS060*zt   &
+                           &   + EOS150*zs+EOS050)*zt   &
+                           &   + (EOS240*zs+EOS140)*zs+EOS040)*zt   &
+                           &   + ((EOS330*zs+EOS230)*zs+EOS130)*zs+EOS030)*zt   &
+                           &   + (((EOS420*zs+EOS320)*zs+EOS220)*zs+EOS120)*zs+EOS020)*zt   &
+                           &   + ((((EOS510*zs+EOS410)*zs+EOS310)*zs+EOS210)*zs+EOS110)*zs+EOS010)*zt   &
+                           &   + (((((EOS600*zs+EOS500)*zs+EOS400)*zs+EOS300)*zs+EOS200)*zs+EOS100)*zs+EOS000
+                           !
+                        zn_sto(jsmp)  = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0_sto(jsmp)
+                     END DO
+                     !
+                     ! compute stochastic density as the mean of the (2*nn_sto_eos) densities
+                     prhop(ji,jj,jk) = 0._wp ; prd(ji,jj,jk) = 0._wp
+                     DO jsmp = 1, nn_sto_eos*2
+                        prhop(ji,jj,jk) = prhop(ji,jj,jk) + zn0_sto(jsmp)                      ! potential density referenced at the surface
+                        !
+                        prd(ji,jj,jk) = prd(ji,jj,jk) + (  zn_sto(jsmp) * r1_rau0 - 1._wp  )   ! density anomaly (masked)
+                     END DO
+                     prhop(ji,jj,jk) = 0.5_wp * prhop(ji,jj,jk) * ztm / nn_sto_eos
+                     prd  (ji,jj,jk) = 0.5_wp * prd  (ji,jj,jk) * ztm / nn_sto_eos
+                  END DO
+               END DO
+            END DO
+            DEALLOCATE(zn0_sto,zn_sto,zsign)
+         ! Non-stochastic equation of state
+         ELSE
+            DO jk = 1, jpkm1
+               DO jj = 1, jpj
+                  DO ji = 1, jpi
+                     !
+                     zh  = pdep(ji,jj,jk) * r1_Z0                                  ! depth
+                     zt  = pts (ji,jj,jk,jp_tem) * r1_T0                           ! temperature
+                     zs  = SQRT( ABS( pts(ji,jj,jk,jp_sal) + rdeltaS ) * r1_S0 )   ! square root salinity
+                     ztm = tmask(ji,jj,jk)                                         ! tmask
+                     !
+                     zn3 = EOS013*zt   &
+                        &   + EOS103*zs+EOS003
+                        !
+                     zn2 = (EOS022*zt   &
+                        &   + EOS112*zs+EOS012)*zt   &
+                        &   + (EOS202*zs+EOS102)*zs+EOS002
+                        !
+                     zn1 = (((EOS041*zt   &
+                        &   + EOS131*zs+EOS031)*zt   &
+                        &   + (EOS221*zs+EOS121)*zs+EOS021)*zt   &
+                        &   + ((EOS311*zs+EOS211)*zs+EOS111)*zs+EOS011)*zt   &
+                        &   + (((EOS401*zs+EOS301)*zs+EOS201)*zs+EOS101)*zs+EOS001
+                        !
+                     zn0 = (((((EOS060*zt   &
+                        &   + EOS150*zs+EOS050)*zt   &
+                        &   + (EOS240*zs+EOS140)*zs+EOS040)*zt   &
+                        &   + ((EOS330*zs+EOS230)*zs+EOS130)*zs+EOS030)*zt   &
+                        &   + (((EOS420*zs+EOS320)*zs+EOS220)*zs+EOS120)*zs+EOS020)*zt   &
+                        &   + ((((EOS510*zs+EOS410)*zs+EOS310)*zs+EOS210)*zs+EOS110)*zs+EOS010)*zt   &
+                        &   + (((((EOS600*zs+EOS500)*zs+EOS400)*zs+EOS300)*zs+EOS200)*zs+EOS100)*zs+EOS000
+                        !
+                     zn  = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0
+                     !
+                     prhop(ji,jj,jk) = zn0 * ztm                           ! potential density referenced at the surface
+                     !
+                     prd(ji,jj,jk) = (  zn * r1_rau0 - 1._wp  ) * ztm      ! density anomaly (masked)
+                  END DO
+               END DO
+            END DO
+         ENDIF
+         
+      CASE( np_seos )                !==  simplified EOS  ==!
+         !
+         DO jk = 1, jpkm1
+            DO jj = 1, jpj
+               DO ji = 1, jpi
+                  zt  = pts  (ji,jj,jk,jp_tem) - 10._wp
+                  zs  = pts  (ji,jj,jk,jp_sal) - 35._wp
+                  zh  = pdep (ji,jj,jk)
+                  ztm = tmask(ji,jj,jk)
+                  !                                                     ! potential density referenced at the surface
+                  zn =  - rn_a0 * ( 1._wp + 0.5_wp*rn_lambda1*zt ) * zt   &
+                     &  + rn_b0 * ( 1._wp - 0.5_wp*rn_lambda2*zs ) * zs   &
+                     &  - rn_nu * zt * zs
+                  prhop(ji,jj,jk) = ( rau0 + zn ) * ztm
+                  !                                                     ! density anomaly (masked)
+                  zn = zn - ( rn_a0 * rn_mu1 * zt + rn_b0 * rn_mu2 * zs ) * zh
+                  prd(ji,jj,jk) = zn * r1_rau0 * ztm
+                  !
+               END DO
+            END DO
+         END DO
+         !
+      CASE( np_leos )                !==  linear ISOMIP EOS  ==!
+         !
+         DO jk = 1, jpkm1
+            DO jj = 1, jpj
+               DO ji = 1, jpi
+                  zt  = pts  (ji,jj,jk,jp_tem) - (-1._wp)
+                  zs  = pts  (ji,jj,jk,jp_sal) - 34.2_wp
+                  zh  = pdep (ji,jj,jk)
+                  ztm = tmask(ji,jj,jk)
+                  !                                                     ! potential density referenced at the surface
+                  zn =  rau0 * ( - rn_a0 * zt + rn_b0 * zs )
+                  prhop(ji,jj,jk) = ( rau0 + zn ) * ztm
+                  !                                                     ! density anomaly (masked)
+                  prd(ji,jj,jk) = zn * r1_rau0 * ztm
+                  !
+               END DO
+            END DO
+         END DO
+         !
+      END SELECT
+      !
+      IF(ln_ctl)   CALL prt_ctl( tab3d_1=prd, clinfo1=' eos-pot: ', tab3d_2=prhop, clinfo2=' pot : ', kdim=jpk )
+      !
+      IF( ln_timing )   CALL timing_stop('eos-pot')
+      !
+   END SUBROUTINE eos_insitu_pot
+
+
+   SUBROUTINE eos_insitu_2d( pts, pdep, prd )
+      !!----------------------------------------------------------------------
+      !!                  ***  ROUTINE eos_insitu_2d  ***
+      !!
+      !! ** Purpose :   Compute the in situ density (ratio rho/rau0) from
+      !!      potential temperature and salinity using an equation of state
+      !!      selected in the nameos namelist. * 2D field case
+      !!
+      !! ** Action  : - prd , the in situ density (no units) (unmasked)
+      !!
+      !!----------------------------------------------------------------------
+      REAL(wp), DIMENSION(jpi,jpj,jpts), INTENT(in   ) ::   pts   ! 1 : potential temperature  [Celsius]
+      !                                                           ! 2 : salinity               [psu]
+      REAL(wp), DIMENSION(jpi,jpj)     , INTENT(in   ) ::   pdep  ! depth                      [m]
+      REAL(wp), DIMENSION(jpi,jpj)     , INTENT(  out) ::   prd   ! in situ density
+      !
+      INTEGER  ::   ji, jj, jk                ! dummy loop indices
+      REAL(wp) ::   zt , zh , zs              ! local scalars
+      REAL(wp) ::   zn , zn0, zn1, zn2, zn3   !   -      -
+      !!----------------------------------------------------------------------
+      !
+      IF( ln_timing )   CALL timing_start('eos2d')
+      !
+      prd(:,:) = 0._wp
+      !
+      SELECT CASE( neos )
+      !
+      CASE( np_teos10, np_eos80 )                !==  polynomial TEOS-10 / EOS-80 ==!
+         !
+         DO jj = 1, jpjm1
+            DO ji = 1, fs_jpim1   ! vector opt.
+               !
+               zh  = pdep(ji,jj) * r1_Z0                                  ! depth
+               zt  = pts (ji,jj,jp_tem) * r1_T0                           ! temperature
+               zs  = SQRT( ABS( pts(ji,jj,jp_sal) + rdeltaS ) * r1_S0 )   ! square root salinity
+               !
+               zn3 = EOS013*zt   &
+                  &   + EOS103*zs+EOS003
+                  !
+               zn2 = (EOS022*zt   &
+                  &   + EOS112*zs+EOS012)*zt   &
+                  &   + (EOS202*zs+EOS102)*zs+EOS002
+                  !
+               zn1 = (((EOS041*zt   &
+                  &   + EOS131*zs+EOS031)*zt   &
+                  &   + (EOS221*zs+EOS121)*zs+EOS021)*zt   &
+                  &   + ((EOS311*zs+EOS211)*zs+EOS111)*zs+EOS011)*zt   &
+                  &   + (((EOS401*zs+EOS301)*zs+EOS201)*zs+EOS101)*zs+EOS001
+                  !
+               zn0 = (((((EOS060*zt   &
+                  &   + EOS150*zs+EOS050)*zt   &
+                  &   + (EOS240*zs+EOS140)*zs+EOS040)*zt   &
+                  &   + ((EOS330*zs+EOS230)*zs+EOS130)*zs+EOS030)*zt   &
+                  &   + (((EOS420*zs+EOS320)*zs+EOS220)*zs+EOS120)*zs+EOS020)*zt   &
+                  &   + ((((EOS510*zs+EOS410)*zs+EOS310)*zs+EOS210)*zs+EOS110)*zs+EOS010)*zt   &
+                  &   + (((((EOS600*zs+EOS500)*zs+EOS400)*zs+EOS300)*zs+EOS200)*zs+EOS100)*zs+EOS000
+                  !
+               zn  = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0
+               !
+               prd(ji,jj) = zn * r1_rau0 - 1._wp               ! unmasked in situ density anomaly
+               !
+            END DO
+         END DO
+         !
+         CALL lbc_lnk( 'eosbn2', prd, 'T', 1. )                    ! Lateral boundary conditions
+         !
+      CASE( np_seos )                !==  simplified EOS  ==!
+         !
+         DO jj = 1, jpjm1
+            DO ji = 1, fs_jpim1   ! vector opt.
+               !
+               zt    = pts  (ji,jj,jp_tem)  - 10._wp
+               zs    = pts  (ji,jj,jp_sal)  - 35._wp
+               zh    = pdep (ji,jj)                         ! depth at the partial step level
+               !
+               zn =  - rn_a0 * ( 1._wp + 0.5_wp*rn_lambda1*zt + rn_mu1*zh ) * zt   &
+                  &  + rn_b0 * ( 1._wp - 0.5_wp*rn_lambda2*zs - rn_mu2*zh ) * zs   &
+                  &  - rn_nu * zt * zs
+                  !
+               prd(ji,jj) = zn * r1_rau0               ! unmasked in situ density anomaly
+               !
+            END DO
+         END DO
+         !
+         CALL lbc_lnk( 'eosbn2', prd, 'T', 1. )                    ! Lateral boundary conditions
+         !
+      CASE( np_leos )                !==  ISOMIP EOS  ==!
+         !
+         DO jj = 1, jpjm1
+            DO ji = 1, fs_jpim1   ! vector opt.
+               !
+               zt    = pts  (ji,jj,jp_tem)  - (-1._wp)
+               zs    = pts  (ji,jj,jp_sal)  - 34.2_wp
+               zh    = pdep (ji,jj)                         ! depth at the partial step level
+               !
+               zn =  rau0 * ( - rn_a0 * zt + rn_b0 * zs )
+                  !
+               prd(ji,jj) = zn * r1_rau0               ! unmasked in situ density anomaly
+               !
+            END DO
+         END DO
+         !
+         CALL lbc_lnk( 'eosbn2', prd, 'T', 1. )                    ! Lateral boundary conditions
+         !
+      END SELECT
+      !
+      IF(ln_ctl)   CALL prt_ctl( tab2d_1=prd, clinfo1=' eos2d: ' )
+      !
+      IF( ln_timing )   CALL timing_stop('eos2d')
+      !
+   END SUBROUTINE eos_insitu_2d
+
+
+   SUBROUTINE rab_3d( pts, pab )
+      !!----------------------------------------------------------------------
+      !!                 ***  ROUTINE rab_3d  ***
+      !!
+      !! ** Purpose :   Calculates thermal/haline expansion ratio at T-points
+      !!
+      !! ** Method  :   calculates alpha / beta at T-points
+      !!
+      !! ** Action  : - pab     : thermal/haline expansion ratio at T-points
+      !!----------------------------------------------------------------------
+      REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(in   ) ::   pts   ! pot. temperature & salinity
+      REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(  out) ::   pab   ! thermal/haline expansion ratio
+      !
+      INTEGER  ::   ji, jj, jk                ! dummy loop indices
+      REAL(wp) ::   zt , zh , zs , ztm        ! local scalars
+      REAL(wp) ::   zn , zn0, zn1, zn2, zn3   !   -      -
+      !!----------------------------------------------------------------------
+      !
+      IF( ln_timing )   CALL timing_start('rab_3d')
+      !
+      SELECT CASE ( neos )
+      !
+      CASE( np_teos10, np_eos80 )                !==  polynomial TEOS-10 / EOS-80 ==!
+         !
+         DO jk = 1, jpkm1
+            DO jj = 1, jpj
+               DO ji = 1, jpi
+                  !
+                  zh  = gdept_n(ji,jj,jk) * r1_Z0                                ! depth
+                  zt  = pts (ji,jj,jk,jp_tem) * r1_T0                           ! temperature
+                  zs  = SQRT( ABS( pts(ji,jj,jk,jp_sal) + rdeltaS ) * r1_S0 )   ! square root salinity
+                  ztm = tmask(ji,jj,jk)                                         ! tmask
+                  !
+                  ! alpha
+                  zn3 = ALP003
+                  !
+                  zn2 = ALP012*zt + ALP102*zs+ALP002
+                  !
+                  zn1 = ((ALP031*zt   &
+                     &   + ALP121*zs+ALP021)*zt   &
+                     &   + (ALP211*zs+ALP111)*zs+ALP011)*zt   &
+                     &   + ((ALP301*zs+ALP201)*zs+ALP101)*zs+ALP001
+                     !
+                  zn0 = ((((ALP050*zt   &
+                     &   + ALP140*zs+ALP040)*zt   &
+                     &   + (ALP230*zs+ALP130)*zs+ALP030)*zt   &
+                     &   + ((ALP320*zs+ALP220)*zs+ALP120)*zs+ALP020)*zt   &
+                     &   + (((ALP410*zs+ALP310)*zs+ALP210)*zs+ALP110)*zs+ALP010)*zt   &
+                     &   + ((((ALP500*zs+ALP400)*zs+ALP300)*zs+ALP200)*zs+ALP100)*zs+ALP000
+                     !
+                  zn  = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0
+                  !
+                  pab(ji,jj,jk,jp_tem) = zn * r1_rau0 * ztm
+                  !
+                  ! beta
+                  zn3 = BET003
+                  !
+                  zn2 = BET012*zt + BET102*zs+BET002
+                  !
+                  zn1 = ((BET031*zt   &
+                     &   + BET121*zs+BET021)*zt   &
+                     &   + (BET211*zs+BET111)*zs+BET011)*zt   &
+                     &   + ((BET301*zs+BET201)*zs+BET101)*zs+BET001
+                     !
+                  zn0 = ((((BET050*zt   &
+                     &   + BET140*zs+BET040)*zt   &
+                     &   + (BET230*zs+BET130)*zs+BET030)*zt   &
+                     &   + ((BET320*zs+BET220)*zs+BET120)*zs+BET020)*zt   &
+                     &   + (((BET410*zs+BET310)*zs+BET210)*zs+BET110)*zs+BET010)*zt   &
+                     &   + ((((BET500*zs+BET400)*zs+BET300)*zs+BET200)*zs+BET100)*zs+BET000
+                     !
+                  zn  = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0
+                  !
+                  pab(ji,jj,jk,jp_sal) = zn / zs * r1_rau0 * ztm
+                  !
+               END DO
+            END DO
+         END DO
+         !
+      CASE( np_seos )                  !==  simplified EOS  ==!
+         !
+         DO jk = 1, jpkm1
+            DO jj = 1, jpj
+               DO ji = 1, jpi
+                  zt  = pts (ji,jj,jk,jp_tem) - 10._wp   ! pot. temperature anomaly (t-T0)
+                  zs  = pts (ji,jj,jk,jp_sal) - 35._wp   ! abs. salinity anomaly (s-S0)
+                  zh  = gdept_n(ji,jj,jk)                ! depth in meters at t-point
+                  ztm = tmask(ji,jj,jk)                  ! land/sea bottom mask = surf. mask
+                  !
+                  zn  = rn_a0 * ( 1._wp + rn_lambda1*zt + rn_mu1*zh ) + rn_nu*zs
+                  pab(ji,jj,jk,jp_tem) = zn * r1_rau0 * ztm   ! alpha
+                  !
+                  zn  = rn_b0 * ( 1._wp - rn_lambda2*zs - rn_mu2*zh ) - rn_nu*zt
+                  pab(ji,jj,jk,jp_sal) = zn * r1_rau0 * ztm   ! beta
+                  !
+               END DO
+            END DO
+         END DO
+         !
+      CASE( np_leos )                  !==  linear ISOMIP EOS  ==!
+         !
+         DO jk = 1, jpkm1
+            DO jj = 1, jpj
+               DO ji = 1, jpi
+                  zt  = pts (ji,jj,jk,jp_tem) - (-1._wp)
+                  zs  = pts (ji,jj,jk,jp_sal) - 34.2_wp   ! abs. salinity anomaly (s-S0)
+                  zh  = gdept_n(ji,jj,jk)                 ! depth in meters at t-point
+                  ztm = tmask(ji,jj,jk)                   ! land/sea bottom mask = surf. mask
+                  !
+                  zn  = rn_a0 * rau0
+                  pab(ji,jj,jk,jp_tem) = zn * r1_rau0 * ztm   ! alpha
+                  !
+                  zn  = rn_b0 * rau0
+                  pab(ji,jj,jk,jp_sal) = zn * r1_rau0 * ztm   ! beta
+                  !
+               END DO
+            END DO
+         END DO
+         !
+      CASE DEFAULT
+         WRITE(ctmp1,*) '          bad flag value for neos = ', neos
+         CALL ctl_stop( 'rab_3d:', ctmp1 )
+         !
+      END SELECT
+      !
+      IF(ln_ctl)   CALL prt_ctl( tab3d_1=pab(:,:,:,jp_tem), clinfo1=' rab_3d_t: ', &
+         &                       tab3d_2=pab(:,:,:,jp_sal), clinfo2=' rab_3d_s : ', kdim=jpk )
+      !
+      IF( ln_timing )   CALL timing_stop('rab_3d')
+      !
+   END SUBROUTINE rab_3d
+
+
+   SUBROUTINE rab_2d( pts, pdep, pab )
+      !!----------------------------------------------------------------------
+      !!                 ***  ROUTINE rab_2d  ***
+      !!
+      !! ** Purpose :   Calculates thermal/haline expansion ratio for a 2d field (unmasked)
+      !!
+      !! ** Action  : - pab     : thermal/haline expansion ratio at T-points
+      !!----------------------------------------------------------------------
+      REAL(wp), DIMENSION(jpi,jpj,jpts)    , INTENT(in   ) ::   pts    ! pot. temperature & salinity
+      REAL(wp), DIMENSION(jpi,jpj)         , INTENT(in   ) ::   pdep   ! depth                  [m]
+      REAL(wp), DIMENSION(jpi,jpj,jpts)    , INTENT(  out) ::   pab    ! thermal/haline expansion ratio
+      !
+      INTEGER  ::   ji, jj, jk                ! dummy loop indices
+      REAL(wp) ::   zt , zh , zs              ! local scalars
+      REAL(wp) ::   zn , zn0, zn1, zn2, zn3   !   -      -
+      !!----------------------------------------------------------------------
+      !
+      IF( ln_timing )   CALL timing_start('rab_2d')
+      !
+      pab(:,:,:) = 0._wp
+      !
+      SELECT CASE ( neos )
+      !
+      CASE( np_teos10, np_eos80 )                !==  polynomial TEOS-10 / EOS-80 ==!
+         !
+         DO jj = 1, jpjm1
+            DO ji = 1, fs_jpim1   ! vector opt.
+               !
+               zh  = pdep(ji,jj) * r1_Z0                                  ! depth
+               zt  = pts (ji,jj,jp_tem) * r1_T0                           ! temperature
+               zs  = SQRT( ABS( pts(ji,jj,jp_sal) + rdeltaS ) * r1_S0 )   ! square root salinity
+               !
+               ! alpha
+               zn3 = ALP003
+               !
+               zn2 = ALP012*zt + ALP102*zs+ALP002
+               !
+               zn1 = ((ALP031*zt   &
+                  &   + ALP121*zs+ALP021)*zt   &
+                  &   + (ALP211*zs+ALP111)*zs+ALP011)*zt   &
+                  &   + ((ALP301*zs+ALP201)*zs+ALP101)*zs+ALP001
+                  !
+               zn0 = ((((ALP050*zt   &
+                  &   + ALP140*zs+ALP040)*zt   &
+                  &   + (ALP230*zs+ALP130)*zs+ALP030)*zt   &
+                  &   + ((ALP320*zs+ALP220)*zs+ALP120)*zs+ALP020)*zt   &
+                  &   + (((ALP410*zs+ALP310)*zs+ALP210)*zs+ALP110)*zs+ALP010)*zt   &
+                  &   + ((((ALP500*zs+ALP400)*zs+ALP300)*zs+ALP200)*zs+ALP100)*zs+ALP000
+                  !
+               zn  = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0
+               !
+               pab(ji,jj,jp_tem) = zn * r1_rau0
+               !
+               ! beta
+               zn3 = BET003
+               !
+               zn2 = BET012*zt + BET102*zs+BET002
+               !
+               zn1 = ((BET031*zt   &
+                  &   + BET121*zs+BET021)*zt   &
+                  &   + (BET211*zs+BET111)*zs+BET011)*zt   &
+                  &   + ((BET301*zs+BET201)*zs+BET101)*zs+BET001
+                  !
+               zn0 = ((((BET050*zt   &
+                  &   + BET140*zs+BET040)*zt   &
+                  &   + (BET230*zs+BET130)*zs+BET030)*zt   &
+                  &   + ((BET320*zs+BET220)*zs+BET120)*zs+BET020)*zt   &
+                  &   + (((BET410*zs+BET310)*zs+BET210)*zs+BET110)*zs+BET010)*zt   &
+                  &   + ((((BET500*zs+BET400)*zs+BET300)*zs+BET200)*zs+BET100)*zs+BET000
+                  !
+               zn  = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0
+               !
+               pab(ji,jj,jp_sal) = zn / zs * r1_rau0
+               !
+               !
+            END DO
+         END DO
+         !                            ! Lateral boundary conditions
+         CALL lbc_lnk_multi( 'eosbn2', pab(:,:,jp_tem), 'T', 1. , pab(:,:,jp_sal), 'T', 1. )                    
+         !
+      CASE( np_seos )                  !==  simplified EOS  ==!
+         !
+         DO jj = 1, jpjm1
+            DO ji = 1, fs_jpim1   ! vector opt.
+               !
+               zt    = pts  (ji,jj,jp_tem) - 10._wp   ! pot. temperature anomaly (t-T0)
+               zs    = pts  (ji,jj,jp_sal) - 35._wp   ! abs. salinity anomaly (s-S0)
+               zh    = pdep (ji,jj)                   ! depth at the partial step level
+               !
+               zn  = rn_a0 * ( 1._wp + rn_lambda1*zt + rn_mu1*zh ) + rn_nu*zs
+               pab(ji,jj,jp_tem) = zn * r1_rau0   ! alpha
+               !
+               zn  = rn_b0 * ( 1._wp - rn_lambda2*zs - rn_mu2*zh ) - rn_nu*zt
+               pab(ji,jj,jp_sal) = zn * r1_rau0   ! beta
+               !
+            END DO
+         END DO
+         !                            ! Lateral boundary conditions
+         CALL lbc_lnk_multi( 'eosbn2', pab(:,:,jp_tem), 'T', 1. , pab(:,:,jp_sal), 'T', 1. )                    
+         !
+      CASE( np_leos )                  !==  linear ISOMIP EOS  ==!
+         !
+         DO jj = 1, jpjm1
+            DO ji = 1, fs_jpim1   ! vector opt.
+               !
+               zt    = pts  (ji,jj,jp_tem) - (-1._wp)   ! pot. temperature anomaly (t-T0)
+               zs    = pts  (ji,jj,jp_sal) - 34.2_wp   ! abs. salinity anomaly (s-S0)
+               zh    = pdep (ji,jj)                   ! depth at the partial step level
+               !
+               zn  = rn_a0 * rau0
+               pab(ji,jj,jp_tem) = zn * r1_rau0   ! alpha
+               !
+               zn  = rn_b0 * rau0
+               pab(ji,jj,jp_sal) = zn * r1_rau0   ! beta
+               !
+            END DO
+         END DO
+         !
+         CALL lbc_lnk_multi( 'eosbn2', pab(:,:,jp_tem), 'T', 1. , pab(:,:,jp_sal), 'T', 1. )                    ! Lateral boundary conditions
+         !
+      CASE DEFAULT
+         WRITE(ctmp1,*) '          bad flag value for neos = ', neos
+         CALL ctl_stop( 'rab_2d:', ctmp1 )
+         !
+      END SELECT
+      !
+      IF(ln_ctl)   CALL prt_ctl( tab2d_1=pab(:,:,jp_tem), clinfo1=' rab_2d_t: ', &
+         &                       tab2d_2=pab(:,:,jp_sal), clinfo2=' rab_2d_s : ' )
+      !
+      IF( ln_timing )   CALL timing_stop('rab_2d')
+      !
+   END SUBROUTINE rab_2d
+
+
+   SUBROUTINE rab_0d( pts, pdep, pab )
+      !!----------------------------------------------------------------------
+      !!                 ***  ROUTINE rab_0d  ***
+      !!
+      !! ** Purpose :   Calculates thermal/haline expansion ratio for a 2d field (unmasked)
+      !!
+      !! ** Action  : - pab     : thermal/haline expansion ratio at T-points
+      !!----------------------------------------------------------------------
+      REAL(wp), DIMENSION(jpts)    , INTENT(in   ) ::   pts    ! pot. temperature & salinity
+      REAL(wp),                      INTENT(in   ) ::   pdep   ! depth                  [m]
+      REAL(wp), DIMENSION(jpts)    , INTENT(  out) ::   pab    ! thermal/haline expansion ratio
+      !
+      REAL(wp) ::   zt , zh , zs              ! local scalars
+      REAL(wp) ::   zn , zn0, zn1, zn2, zn3   !   -      -
+      !!----------------------------------------------------------------------
+      !
+      IF( ln_timing )   CALL timing_start('rab_0d')
+      !
+      pab(:) = 0._wp
+      !
+      SELECT CASE ( neos )
+      !
+      CASE( np_teos10, np_eos80 )      !==  polynomial TEOS-10 / EOS-80 ==!
+         !
+         !
+         zh  = pdep * r1_Z0                                  ! depth
+         zt  = pts (jp_tem) * r1_T0                           ! temperature
+         zs  = SQRT( ABS( pts(jp_sal) + rdeltaS ) * r1_S0 )   ! square root salinity
+         !
+         ! alpha
+         zn3 = ALP003
+         !
+         zn2 = ALP012*zt + ALP102*zs+ALP002
+         !
+         zn1 = ((ALP031*zt   &
+            &   + ALP121*zs+ALP021)*zt   &
+            &   + (ALP211*zs+ALP111)*zs+ALP011)*zt   &
+            &   + ((ALP301*zs+ALP201)*zs+ALP101)*zs+ALP001
+            !
+         zn0 = ((((ALP050*zt   &
+            &   + ALP140*zs+ALP040)*zt   &
+            &   + (ALP230*zs+ALP130)*zs+ALP030)*zt   &
+            &   + ((ALP320*zs+ALP220)*zs+ALP120)*zs+ALP020)*zt   &
+            &   + (((ALP410*zs+ALP310)*zs+ALP210)*zs+ALP110)*zs+ALP010)*zt   &
+            &   + ((((ALP500*zs+ALP400)*zs+ALP300)*zs+ALP200)*zs+ALP100)*zs+ALP000
+            !
+         zn  = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0
+         !
+         pab(jp_tem) = zn * r1_rau0
+         !
+         ! beta
+         zn3 = BET003
+         !
+         zn2 = BET012*zt + BET102*zs+BET002
+         !
+         zn1 = ((BET031*zt   &
+            &   + BET121*zs+BET021)*zt   &
+            &   + (BET211*zs+BET111)*zs+BET011)*zt   &
+            &   + ((BET301*zs+BET201)*zs+BET101)*zs+BET001
+            !
+         zn0 = ((((BET050*zt   &
+            &   + BET140*zs+BET040)*zt   &
+            &   + (BET230*zs+BET130)*zs+BET030)*zt   &
+            &   + ((BET320*zs+BET220)*zs+BET120)*zs+BET020)*zt   &
+            &   + (((BET410*zs+BET310)*zs+BET210)*zs+BET110)*zs+BET010)*zt   &
+            &   + ((((BET500*zs+BET400)*zs+BET300)*zs+BET200)*zs+BET100)*zs+BET000
+            !
+         zn  = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0
+         !
+         pab(jp_sal) = zn / zs * r1_rau0
+         !
+         !
+         !
+      CASE( np_seos )                  !==  simplified EOS  ==!
+         !
+         zt    = pts(jp_tem) - 10._wp   ! pot. temperature anomaly (t-T0)
+         zs    = pts(jp_sal) - 35._wp   ! abs. salinity anomaly (s-S0)
+         zh    = pdep                   ! depth at the partial step level
+         !
+         zn  = rn_a0 * ( 1._wp + rn_lambda1*zt + rn_mu1*zh ) + rn_nu*zs
+         pab(jp_tem) = zn * r1_rau0   ! alpha
+         !
+         zn  = rn_b0 * ( 1._wp - rn_lambda2*zs - rn_mu2*zh ) - rn_nu*zt
+         pab(jp_sal) = zn * r1_rau0   ! beta
+         !
+      CASE( np_leos )                  !==  linear ISOMIP EOS  ==!
+         !
+         zt    = pts(jp_tem) - (-1._wp)   ! pot. temperature anomaly (t-T0)
+         zs    = pts(jp_sal) - 34.2_wp   ! abs. salinity anomaly (s-S0)
+         zh    = pdep                    ! depth at the partial step level
+         !
+         zn  = rn_a0 * rau0
+         pab(jp_tem) = zn * r1_rau0   ! alpha
+         !
+         zn  = rn_b0 * rau0
+         pab(jp_sal) = zn * r1_rau0   ! beta
+         !
+      CASE DEFAULT
+         WRITE(ctmp1,*) '          bad flag value for neos = ', neos
+         CALL ctl_stop( 'rab_0d:', ctmp1 )
+         !
+      END SELECT
+      !
+      IF( ln_timing )   CALL timing_stop('rab_0d')
+      !
+   END SUBROUTINE rab_0d
+
+
+   SUBROUTINE bn2( pts, pab, pn2 )
+      !!----------------------------------------------------------------------
+      !!                  ***  ROUTINE bn2  ***
+      !!
+      !! ** Purpose :   Compute the local Brunt-Vaisala frequency at the 
+      !!                time-step of the input arguments
+      !!
+      !! ** Method  :   pn2 = grav * (alpha dk[T] + beta dk[S] ) / e3w
+      !!      where alpha and beta are given in pab, and computed on T-points.
+      !!      N.B. N^2 is set one for all to zero at jk=1 in istate module.
+      !!
+      !! ** Action  :   pn2 : square of the brunt-vaisala frequency at w-point 
+      !!
+      !!----------------------------------------------------------------------
+      REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(in   ) ::  pts   ! pot. temperature and salinity   [Celsius,psu]
+      REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(in   ) ::  pab   ! thermal/haline expansion coef.  [Celsius-1,psu-1]
+      REAL(wp), DIMENSION(jpi,jpj,jpk     ), INTENT(  out) ::  pn2   ! Brunt-Vaisala frequency squared [1/s^2]
+      !
+      INTEGER  ::   ji, jj, jk      ! dummy loop indices
+      REAL(wp) ::   zaw, zbw, zrw   ! local scalars
+      !!----------------------------------------------------------------------
+      !
+      IF( ln_timing )   CALL timing_start('bn2')
+      !
+      DO jk = 2, jpkm1           ! interior points only (2=< jk =< jpkm1 )
+         DO jj = 1, jpj          ! surface and bottom value set to zero one for all in istate.F90
+            DO ji = 1, jpi
+               zrw =   ( gdepw_n(ji,jj,jk  ) - gdept_n(ji,jj,jk) )   &
+                  &  / ( gdept_n(ji,jj,jk-1) - gdept_n(ji,jj,jk) ) 
+                  !
+               zaw = pab(ji,jj,jk,jp_tem) * (1. - zrw) + pab(ji,jj,jk-1,jp_tem) * zrw 
+               zbw = pab(ji,jj,jk,jp_sal) * (1. - zrw) + pab(ji,jj,jk-1,jp_sal) * zrw
+               !
+               pn2(ji,jj,jk) = grav * (  zaw * ( pts(ji,jj,jk-1,jp_tem) - pts(ji,jj,jk,jp_tem) )     &
+                  &                    - zbw * ( pts(ji,jj,jk-1,jp_sal) - pts(ji,jj,jk,jp_sal) )  )  &
+                  &            / e3w_n(ji,jj,jk) * wmask(ji,jj,jk)
+            END DO
+         END DO
+      END DO
+      !
+      IF(ln_ctl)   CALL prt_ctl( tab3d_1=pn2, clinfo1=' bn2  : ', kdim=jpk )
+      !
+      IF( ln_timing )   CALL timing_stop('bn2')
+      !
+   END SUBROUTINE bn2
+
+
+   FUNCTION eos_pt_from_ct( ctmp, psal ) RESULT( ptmp )
+      !!----------------------------------------------------------------------
+      !!                 ***  ROUTINE eos_pt_from_ct  ***
+      !!
+      !! ** Purpose :   Compute pot.temp. from cons. temp. [Celsius]
+      !!
+      !! ** Method  :   rational approximation (5/3th order) of TEOS-10 algorithm
+      !!       checkvalue: pt=20.02391895 Celsius for sa=35.7g/kg, ct=20degC
+      !!
+      !! Reference  :   TEOS-10, UNESCO
+      !!                Rational approximation to TEOS10 algorithm (rms error on WOA13 values: 4.0e-5 degC)
+      !!----------------------------------------------------------------------
+      REAL(wp), DIMENSION(jpi,jpj), INTENT(in   ) ::   ctmp   ! Cons. Temp   [Celsius]
+      REAL(wp), DIMENSION(jpi,jpj), INTENT(in   ) ::   psal   ! salinity     [psu]
+      ! Leave result array automatic rather than making explicitly allocated
+      REAL(wp), DIMENSION(jpi,jpj) ::   ptmp   ! potential temperature [Celsius]
+      !
+      INTEGER  ::   ji, jj               ! dummy loop indices
+      REAL(wp) ::   zt , zs , ztm        ! local scalars
+      REAL(wp) ::   zn , zd              ! local scalars
+      REAL(wp) ::   zdeltaS , z1_S0 , z1_T0
+      !!----------------------------------------------------------------------
+      !
+      IF( ln_timing )   CALL timing_start('eos_pt_from_ct')
+      !
+      zdeltaS = 5._wp
+      z1_S0   = 0.875_wp/35.16504_wp
+      z1_T0   = 1._wp/40._wp
+      !
+      DO jj = 1, jpj
+         DO ji = 1, jpi
+            !
+            zt  = ctmp   (ji,jj) * z1_T0
+            zs  = SQRT( ABS( psal(ji,jj) + zdeltaS ) * r1_S0 )
+            ztm = tmask(ji,jj,1)
+            !
+            zn = ((((-2.1385727895e-01_wp*zt   &
+               &   - 2.7674419971e-01_wp*zs+1.0728094330_wp)*zt   &
+               &   + (2.6366564313_wp*zs+3.3546960647_wp)*zs-7.8012209473_wp)*zt   &
+               &   + ((1.8835586562_wp*zs+7.3949191679_wp)*zs-3.3937395875_wp)*zs-5.6414948432_wp)*zt   &
+               &   + (((3.5737370589_wp*zs-1.5512427389e+01_wp)*zs+2.4625741105e+01_wp)*zs   &
+               &      +1.9912291000e+01_wp)*zs-3.2191146312e+01_wp)*zt   &
+               &   + ((((5.7153204649e-01_wp*zs-3.0943149543_wp)*zs+9.3052495181_wp)*zs   &
+               &      -9.4528934807_wp)*zs+3.1066408996_wp)*zs-4.3504021262e-01_wp
+               !
+            zd = (2.0035003456_wp*zt   &
+               &   -3.4570358592e-01_wp*zs+5.6471810638_wp)*zt   &
+               &   + (1.5393993508_wp*zs-6.9394762624_wp)*zs+1.2750522650e+01_wp
+               !
+            ptmp(ji,jj) = ( zt / z1_T0 + zn / zd ) * ztm
+               !
+         END DO
+      END DO
+      !
+      IF( ln_timing )   CALL timing_stop('eos_pt_from_ct')
+      !
+   END FUNCTION eos_pt_from_ct
+
+
+   SUBROUTINE  eos_fzp_2d( psal, ptf, pdep )
+      !!----------------------------------------------------------------------
+      !!                 ***  ROUTINE eos_fzp  ***
+      !!
+      !! ** Purpose :   Compute the freezing point temperature [Celsius]
+      !!
+      !! ** Method  :   UNESCO freezing point (ptf) in Celsius is given by
+      !!       ptf(t,z) = (-.0575+1.710523e-3*sqrt(abs(s))-2.154996e-4*s)*s - 7.53e-4*z
+      !!       checkvalue: tf=-2.588567 Celsius for s=40psu, z=500m
+      !!
+      !! Reference  :   UNESCO tech. papers in the marine science no. 28. 1978
+      !!----------------------------------------------------------------------
+      REAL(wp), DIMENSION(jpi,jpj), INTENT(in   )           ::   psal   ! salinity   [psu]
+      REAL(wp), DIMENSION(jpi,jpj), INTENT(in   ), OPTIONAL ::   pdep   ! depth      [m]
+      REAL(wp), DIMENSION(jpi,jpj), INTENT(out  )           ::   ptf    ! freezing temperature [Celsius]
+      !
+      INTEGER  ::   ji, jj          ! dummy loop indices
+      REAL(wp) ::   zt, zs, z1_S0   ! local scalars
+      !!----------------------------------------------------------------------
+      !
+      SELECT CASE ( neos )
+      !
+      CASE ( np_teos10, np_seos )      !==  CT,SA (TEOS-10 and S-EOS formulations) ==!
+         !
+         z1_S0 = 1._wp / 35.16504_wp
+         DO jj = 1, jpj
+            DO ji = 1, jpi
+               zs= SQRT( ABS( psal(ji,jj) ) * z1_S0 )           ! square root salinity
+               ptf(ji,jj) = ((((1.46873e-03_wp*zs-9.64972e-03_wp)*zs+2.28348e-02_wp)*zs &
+                  &          - 3.12775e-02_wp)*zs+2.07679e-02_wp)*zs-5.87701e-02_wp
+            END DO
+         END DO
+         ptf(:,:) = ptf(:,:) * psal(:,:)
+         !
+         IF( PRESENT( pdep ) )   ptf(:,:) = ptf(:,:) - 7.53e-4 * pdep(:,:)
+         !
+      CASE ( np_eos80, np_leos )                !==  PT,SP (UNESCO formulation)  ==!
+         !
+         ptf(:,:) = ( - 0.0575_wp + 1.710523e-3_wp * SQRT( psal(:,:) )   &
+            &                     - 2.154996e-4_wp *       psal(:,:)   ) * psal(:,:)
+            !
+         IF( PRESENT( pdep ) )   ptf(:,:) = ptf(:,:) - 7.53e-4 * pdep(:,:)
+         !
+      CASE DEFAULT
+         WRITE(ctmp1,*) '          bad flag value for neos = ', neos
+         CALL ctl_stop( 'eos_fzp_2d:', ctmp1 )
+         !
+      END SELECT      
+      !
+  END SUBROUTINE eos_fzp_2d
+
+
+  SUBROUTINE eos_fzp_0d( psal, ptf, pdep )
+      !!----------------------------------------------------------------------
+      !!                 ***  ROUTINE eos_fzp  ***
+      !!
+      !! ** Purpose :   Compute the freezing point temperature [Celsius]
+      !!
+      !! ** Method  :   UNESCO freezing point (ptf) in Celsius is given by
+      !!       ptf(t,z) = (-.0575+1.710523e-3*sqrt(abs(s))-2.154996e-4*s)*s - 7.53e-4*z
+      !!       checkvalue: tf=-2.588567 Celsius for s=40psu, z=500m
+      !!
+      !! Reference  :   UNESCO tech. papers in the marine science no. 28. 1978
+      !!----------------------------------------------------------------------
+      REAL(wp), INTENT(in )           ::   psal         ! salinity   [psu]
+      REAL(wp), INTENT(in ), OPTIONAL ::   pdep         ! depth      [m]
+      REAL(wp), INTENT(out)           ::   ptf          ! freezing temperature [Celsius]
+      !
+      REAL(wp) :: zs   ! local scalars
+      !!----------------------------------------------------------------------
+      !
+      SELECT CASE ( neos )
+      !
+      CASE ( np_teos10, np_seos )      !==  CT,SA (TEOS-10 and S-EOS formulations) ==!
+         !
+         zs  = SQRT( ABS( psal ) / 35.16504_wp )           ! square root salinity
+         ptf = ((((1.46873e-03_wp*zs-9.64972e-03_wp)*zs+2.28348e-02_wp)*zs &
+                  &          - 3.12775e-02_wp)*zs+2.07679e-02_wp)*zs-5.87701e-02_wp
+         ptf = ptf * psal
+         !
+         IF( PRESENT( pdep ) )   ptf = ptf - 7.53e-4 * pdep
+         !
+      CASE ( np_eos80, np_leos )                !==  PT,SP (UNESCO formulation)  ==!
+         !
+         ptf = ( - 0.0575_wp + 1.710523e-3_wp * SQRT( psal )   &
+            &                - 2.154996e-4_wp *       psal   ) * psal
+            !
+         IF( PRESENT( pdep ) )   ptf = ptf - 7.53e-4 * pdep
+         !
+      CASE DEFAULT
+         WRITE(ctmp1,*) '          bad flag value for neos = ', neos
+         CALL ctl_stop( 'eos_fzp_0d:', ctmp1 )
+         !
+      END SELECT
+      !
+   END SUBROUTINE eos_fzp_0d
+
+
+   SUBROUTINE eos_pen( pts, pab_pe, ppen )
+      !!----------------------------------------------------------------------
+      !!                 ***  ROUTINE eos_pen  ***
+      !!
+      !! ** Purpose :   Calculates nonlinear anomalies of alpha_PE, beta_PE and PE at T-points
+      !!
+      !! ** Method  :   PE is defined analytically as the vertical 
+      !!                   primitive of EOS times -g integrated between 0 and z>0.
+      !!                pen is the nonlinear bsq-PE anomaly: pen = ( PE - rau0 gz ) / rau0 gz - rd
+      !!                                                      = 1/z * /int_0^z rd dz - rd 
+      !!                                where rd is the density anomaly (see eos_rhd function)
+      !!                ab_pe are partial derivatives of PE anomaly with respect to T and S:
+      !!                    ab_pe(1) = - 1/(rau0 gz) * dPE/dT + drd/dT = - d(pen)/dT
+      !!                    ab_pe(2) =   1/(rau0 gz) * dPE/dS + drd/dS =   d(pen)/dS
+      !!
+      !! ** Action  : - pen         : PE anomaly given at T-points
+      !!            : - pab_pe  : given at T-points
+      !!                    pab_pe(:,:,:,jp_tem) is alpha_pe
+      !!                    pab_pe(:,:,:,jp_sal) is beta_pe
+      !!----------------------------------------------------------------------
+      REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(in   ) ::   pts     ! pot. temperature & salinity
+      REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(  out) ::   pab_pe  ! alpha_pe and beta_pe
+      REAL(wp), DIMENSION(jpi,jpj,jpk)     , INTENT(  out) ::   ppen     ! potential energy anomaly
+      !
+      INTEGER  ::   ji, jj, jk                ! dummy loop indices
+      REAL(wp) ::   zt , zh , zs , ztm        ! local scalars
+      REAL(wp) ::   zn , zn0, zn1, zn2        !   -      -
+      !!----------------------------------------------------------------------
+      !
+      IF( ln_timing )   CALL timing_start('eos_pen')
+      !
+      SELECT CASE ( neos )
+      !
+      CASE( np_teos10, np_eos80 )                !==  polynomial TEOS-10 / EOS-80 ==!
+         !
+         DO jk = 1, jpkm1
+            DO jj = 1, jpj
+               DO ji = 1, jpi
+                  !
+                  zh  = gdept_n(ji,jj,jk) * r1_Z0                                ! depth
+                  zt  = pts (ji,jj,jk,jp_tem) * r1_T0                           ! temperature
+                  zs  = SQRT( ABS( pts(ji,jj,jk,jp_sal) + rdeltaS ) * r1_S0 )   ! square root salinity
+                  ztm = tmask(ji,jj,jk)                                         ! tmask
+                  !
+                  ! potential energy non-linear anomaly
+                  zn2 = (PEN012)*zt   &
+                     &   + PEN102*zs+PEN002
+                     !
+                  zn1 = ((PEN021)*zt   &
+                     &   + PEN111*zs+PEN011)*zt   &
+                     &   + (PEN201*zs+PEN101)*zs+PEN001
+                     !
+                  zn0 = ((((PEN040)*zt   &
+                     &   + PEN130*zs+PEN030)*zt   &
+                     &   + (PEN220*zs+PEN120)*zs+PEN020)*zt   &
+                     &   + ((PEN310*zs+PEN210)*zs+PEN110)*zs+PEN010)*zt   &
+                     &   + (((PEN400*zs+PEN300)*zs+PEN200)*zs+PEN100)*zs+PEN000
+                     !
+                  zn  = ( zn2 * zh + zn1 ) * zh + zn0
+                  !
+                  ppen(ji,jj,jk)  = zn * zh * r1_rau0 * ztm
+                  !
+                  ! alphaPE non-linear anomaly
+                  zn2 = APE002
+                  !
+                  zn1 = (APE011)*zt   &
+                     &   + APE101*zs+APE001
+                     !
+                  zn0 = (((APE030)*zt   &
+                     &   + APE120*zs+APE020)*zt   &
+                     &   + (APE210*zs+APE110)*zs+APE010)*zt   &
+                     &   + ((APE300*zs+APE200)*zs+APE100)*zs+APE000
+                     !
+                  zn  = ( zn2 * zh + zn1 ) * zh + zn0
+                  !                              
+                  pab_pe(ji,jj,jk,jp_tem) = zn * zh * r1_rau0 * ztm
+                  !
+                  ! betaPE non-linear anomaly
+                  zn2 = BPE002
+                  !
+                  zn1 = (BPE011)*zt   &
+                     &   + BPE101*zs+BPE001
+                     !
+                  zn0 = (((BPE030)*zt   &
+                     &   + BPE120*zs+BPE020)*zt   &
+                     &   + (BPE210*zs+BPE110)*zs+BPE010)*zt   &
+                     &   + ((BPE300*zs+BPE200)*zs+BPE100)*zs+BPE000
+                     !
+                  zn  = ( zn2 * zh + zn1 ) * zh + zn0
+                  !                              
+                  pab_pe(ji,jj,jk,jp_sal) = zn / zs * zh * r1_rau0 * ztm
+                  !
+               END DO
+            END DO
+         END DO
+         !
+      CASE( np_seos )                !==  Vallis (2006) simplified EOS  ==!
+         !
+         DO jk = 1, jpkm1
+            DO jj = 1, jpj
+               DO ji = 1, jpi
+                  zt  = pts(ji,jj,jk,jp_tem) - 10._wp  ! temperature anomaly (t-T0)
+                  zs = pts (ji,jj,jk,jp_sal) - 35._wp  ! abs. salinity anomaly (s-S0)
+                  zh  = gdept_n(ji,jj,jk)              ! depth in meters  at t-point
+                  ztm = tmask(ji,jj,jk)                ! tmask
+                  zn  = 0.5_wp * zh * r1_rau0 * ztm
+                  !                                    ! Potential Energy
+                  ppen(ji,jj,jk) = ( rn_a0 * rn_mu1 * zt + rn_b0 * rn_mu2 * zs ) * zn
+                  !                                    ! alphaPE
+                  pab_pe(ji,jj,jk,jp_tem) = - rn_a0 * rn_mu1 * zn
+                  pab_pe(ji,jj,jk,jp_sal) =   rn_b0 * rn_mu2 * zn
+                  !
+               END DO
+            END DO
+         END DO
+         !
+      CASE( np_leos )                !==  linear ISOMIP EOS  ==!
+         !
+         DO jk = 1, jpkm1
+            DO jj = 1, jpj
+               DO ji = 1, jpi
+                  zt  = pts(ji,jj,jk,jp_tem) - (-1._wp)  ! temperature anomaly (t-T0)
+                  zs = pts (ji,jj,jk,jp_sal) - 34.2_wp   ! abs. salinity anomaly (s-S0)
+                  zh  = gdept_n(ji,jj,jk)                ! depth in meters  at t-point
+                  ztm = tmask(ji,jj,jk)                  ! tmask
+                  zn  = 0.5_wp * zh * r1_rau0 * ztm
+                  !                                    ! Potential Energy
+                  ppen(ji,jj,jk) = 0.
+                  !                                    ! alphaPE
+                  pab_pe(ji,jj,jk,jp_tem) = 0.
+                  pab_pe(ji,jj,jk,jp_sal) = 0.
+                  !
+               END DO
+            END DO
+         END DO
+         !
+      CASE DEFAULT
+         WRITE(ctmp1,*) '          bad flag value for neos = ', neos
+         CALL ctl_stop( 'eos_pen:', ctmp1 )
+         !
+      END SELECT
+      !
+      IF( ln_timing )   CALL timing_stop('eos_pen')
+      !
+   END SUBROUTINE eos_pen
+
+
+   SUBROUTINE eos_init
+      !!----------------------------------------------------------------------
+      !!                 ***  ROUTINE eos_init  ***
+      !!
+      !! ** Purpose :   initializations for the equation of state
+      !!
+      !! ** Method  :   Read the namelist nameos and control the parameters
+      !!----------------------------------------------------------------------
+      INTEGER  ::   ios   ! local integer
+      INTEGER  ::   ioptio   ! local integer
+      !!
+      NAMELIST/nameos/ ln_TEOS10, ln_EOS80, ln_SEOS   , ln_LEOS, &
+         &             rn_a0    , rn_b0   , rn_lambda1, rn_mu1 , &
+         &                                  rn_lambda2, rn_mu2 , rn_nu
+      !!----------------------------------------------------------------------
+      !
+      REWIND( numnam_ref )              ! Namelist nameos in reference namelist : equation of state
+      READ  ( numnam_ref, nameos, IOSTAT = ios, ERR = 901 )
+901   IF( ios /= 0 )   CALL ctl_nam ( ios , 'nameos in reference namelist', lwp )
+      !
+      REWIND( numnam_cfg )              ! Namelist nameos in configuration namelist : equation of state
+      READ  ( numnam_cfg, nameos, IOSTAT = ios, ERR = 902 )
+902   IF( ios >  0 )   CALL ctl_nam ( ios , 'nameos in configuration namelist', lwp )
+      IF(lwm) WRITE( numond, nameos )
+      !
+      rau0        = 1027.51_wp     !: volumic mass of reference     [kg/m3]
+      rcp         = 3974.00_wp     !: heat capacity     [J/K]
+      !
+      IF(lwp) THEN                ! Control print
+         WRITE(numout,*)
+         WRITE(numout,*) 'eos_init : equation of state'
+         WRITE(numout,*) '~~~~~~~~'
+         WRITE(numout,*) '   Namelist nameos : Chosen the Equation Of Seawater (EOS)'
+         WRITE(numout,*) '      TEOS-10 : rho=F(Conservative Temperature, Absolute  Salinity, depth)   ln_TEOS10 = ', ln_TEOS10
+         WRITE(numout,*) '      EOS-80  : rho=F(Potential    Temperature, Practical Salinity, depth)   ln_EOS80  = ', ln_EOS80
+         WRITE(numout,*) '      S-EOS   : rho=F(Conservative Temperature, Absolute  Salinity, depth)   ln_SEOS   = ', ln_SEOS
+         WRITE(numout,*) '      L-EOS   : rho=F(Potential    Temperature, Practical Salinity, depth)   ln_LEOS   = ', ln_LEOS
+      ENDIF
+
+      ! Check options for equation of state & set neos based on logical flags
+      ioptio = 0
+      IF( ln_TEOS10 ) THEN   ;   ioptio = ioptio+1   ;   neos = np_teos10   ;   ENDIF
+      IF( ln_EOS80  ) THEN   ;   ioptio = ioptio+1   ;   neos = np_eos80    ;   ENDIF
+      IF( ln_SEOS   ) THEN   ;   ioptio = ioptio+1   ;   neos = np_seos     ;   ENDIF
+      IF( ln_LEOS   ) THEN   ;   ioptio = ioptio+1   ;   neos = np_leos     ;   ENDIF
+      IF( ioptio /= 1 )   CALL ctl_stop("Exactly one equation of state option must be selected")
+      !
+      SELECT CASE( neos )         ! check option
+      !
+      CASE( np_teos10 )                       !==  polynomial TEOS-10  ==!
+         IF(lwp) WRITE(numout,*)
+         IF(lwp) WRITE(numout,*) '   ==>>>   use of TEOS-10 equation of state (cons. temp. and abs. salinity)'
+         !
+         l_useCT = .TRUE.                          ! model temperature is Conservative temperature 
+         !
+         rdeltaS = 32._wp
+         r1_S0  = 0.875_wp/35.16504_wp
+         r1_T0  = 1._wp/40._wp
+         r1_Z0  = 1.e-4_wp
+         !
+         EOS000 = 8.0189615746e+02_wp
+         EOS100 = 8.6672408165e+02_wp
+         EOS200 = -1.7864682637e+03_wp
+         EOS300 = 2.0375295546e+03_wp
+         EOS400 = -1.2849161071e+03_wp
+         EOS500 = 4.3227585684e+02_wp
+         EOS600 = -6.0579916612e+01_wp
+         EOS010 = 2.6010145068e+01_wp
+         EOS110 = -6.5281885265e+01_wp
+         EOS210 = 8.1770425108e+01_wp
+         EOS310 = -5.6888046321e+01_wp
+         EOS410 = 1.7681814114e+01_wp
+         EOS510 = -1.9193502195_wp
+         EOS020 = -3.7074170417e+01_wp
+         EOS120 = 6.1548258127e+01_wp
+         EOS220 = -6.0362551501e+01_wp
+         EOS320 = 2.9130021253e+01_wp
+         EOS420 = -5.4723692739_wp
+         EOS030 = 2.1661789529e+01_wp
+         EOS130 = -3.3449108469e+01_wp
+         EOS230 = 1.9717078466e+01_wp
+         EOS330 = -3.1742946532_wp
+         EOS040 = -8.3627885467_wp
+         EOS140 = 1.1311538584e+01_wp
+         EOS240 = -5.3563304045_wp
+         EOS050 = 5.4048723791e-01_wp
+         EOS150 = 4.8169980163e-01_wp
+         EOS060 = -1.9083568888e-01_wp
+         EOS001 = 1.9681925209e+01_wp
+         EOS101 = -4.2549998214e+01_wp
+         EOS201 = 5.0774768218e+01_wp
+         EOS301 = -3.0938076334e+01_wp
+         EOS401 = 6.6051753097_wp
+         EOS011 = -1.3336301113e+01_wp
+         EOS111 = -4.4870114575_wp
+         EOS211 = 5.0042598061_wp
+         EOS311 = -6.5399043664e-01_wp
+         EOS021 = 6.7080479603_wp
+         EOS121 = 3.5063081279_wp
+         EOS221 = -1.8795372996_wp
+         EOS031 = -2.4649669534_wp
+         EOS131 = -5.5077101279e-01_wp
+         EOS041 = 5.5927935970e-01_wp
+         EOS002 = 2.0660924175_wp
+         EOS102 = -4.9527603989_wp
+         EOS202 = 2.5019633244_wp
+         EOS012 = 2.0564311499_wp
+         EOS112 = -2.1311365518e-01_wp
+         EOS022 = -1.2419983026_wp
+         EOS003 = -2.3342758797e-02_wp
+         EOS103 = -1.8507636718e-02_wp
+         EOS013 = 3.7969820455e-01_wp
+         !
+         ALP000 = -6.5025362670e-01_wp
+         ALP100 = 1.6320471316_wp
+         ALP200 = -2.0442606277_wp
+         ALP300 = 1.4222011580_wp
+         ALP400 = -4.4204535284e-01_wp
+         ALP500 = 4.7983755487e-02_wp
+         ALP010 = 1.8537085209_wp
+         ALP110 = -3.0774129064_wp
+         ALP210 = 3.0181275751_wp
+         ALP310 = -1.4565010626_wp
+         ALP410 = 2.7361846370e-01_wp
+         ALP020 = -1.6246342147_wp
+         ALP120 = 2.5086831352_wp
+         ALP220 = -1.4787808849_wp
+         ALP320 = 2.3807209899e-01_wp
+         ALP030 = 8.3627885467e-01_wp
+         ALP130 = -1.1311538584_wp
+         ALP230 = 5.3563304045e-01_wp
+         ALP040 = -6.7560904739e-02_wp
+         ALP140 = -6.0212475204e-02_wp
+         ALP050 = 2.8625353333e-02_wp
+         ALP001 = 3.3340752782e-01_wp
+         ALP101 = 1.1217528644e-01_wp
+         ALP201 = -1.2510649515e-01_wp
+         ALP301 = 1.6349760916e-02_wp
+         ALP011 = -3.3540239802e-01_wp
+         ALP111 = -1.7531540640e-01_wp
+         ALP211 = 9.3976864981e-02_wp
+         ALP021 = 1.8487252150e-01_wp
+         ALP121 = 4.1307825959e-02_wp
+         ALP031 = -5.5927935970e-02_wp
+         ALP002 = -5.1410778748e-02_wp
+         ALP102 = 5.3278413794e-03_wp
+         ALP012 = 6.2099915132e-02_wp
+         ALP003 = -9.4924551138e-03_wp
+         !
+         BET000 = 1.0783203594e+01_wp
+         BET100 = -4.4452095908e+01_wp
+         BET200 = 7.6048755820e+01_wp
+         BET300 = -6.3944280668e+01_wp
+         BET400 = 2.6890441098e+01_wp
+         BET500 = -4.5221697773_wp
+         BET010 = -8.1219372432e-01_wp
+         BET110 = 2.0346663041_wp
+         BET210 = -2.1232895170_wp
+         BET310 = 8.7994140485e-01_wp
+         BET410 = -1.1939638360e-01_wp
+         BET020 = 7.6574242289e-01_wp
+         BET120 = -1.5019813020_wp
+         BET220 = 1.0872489522_wp
+         BET320 = -2.7233429080e-01_wp
+         BET030 = -4.1615152308e-01_wp
+         BET130 = 4.9061350869e-01_wp
+         BET230 = -1.1847737788e-01_wp
+         BET040 = 1.4073062708e-01_wp
+         BET140 = -1.3327978879e-01_wp
+         BET050 = 5.9929880134e-03_wp
+         BET001 = -5.2937873009e-01_wp
+         BET101 = 1.2634116779_wp
+         BET201 = -1.1547328025_wp
+         BET301 = 3.2870876279e-01_wp
+         BET011 = -5.5824407214e-02_wp
+         BET111 = 1.2451933313e-01_wp
+         BET211 = -2.4409539932e-02_wp
+         BET021 = 4.3623149752e-02_wp
+         BET121 = -4.6767901790e-02_wp
+         BET031 = -6.8523260060e-03_wp
+         BET002 = -6.1618945251e-02_wp
+         BET102 = 6.2255521644e-02_wp
+         BET012 = -2.6514181169e-03_wp
+         BET003 = -2.3025968587e-04_wp
+         !
+         PEN000 = -9.8409626043_wp
+         PEN100 = 2.1274999107e+01_wp
+         PEN200 = -2.5387384109e+01_wp
+         PEN300 = 1.5469038167e+01_wp
+         PEN400 = -3.3025876549_wp
+         PEN010 = 6.6681505563_wp
+         PEN110 = 2.2435057288_wp
+         PEN210 = -2.5021299030_wp
+         PEN310 = 3.2699521832e-01_wp
+         PEN020 = -3.3540239802_wp
+         PEN120 = -1.7531540640_wp
+         PEN220 = 9.3976864981e-01_wp
+         PEN030 = 1.2324834767_wp
+         PEN130 = 2.7538550639e-01_wp
+         PEN040 = -2.7963967985e-01_wp
+         PEN001 = -1.3773949450_wp
+         PEN101 = 3.3018402659_wp
+         PEN201 = -1.6679755496_wp
+         PEN011 = -1.3709540999_wp
+         PEN111 = 1.4207577012e-01_wp
+         PEN021 = 8.2799886843e-01_wp
+         PEN002 = 1.7507069098e-02_wp
+         PEN102 = 1.3880727538e-02_wp
+         PEN012 = -2.8477365341e-01_wp
+         !
+         APE000 = -1.6670376391e-01_wp
+         APE100 = -5.6087643219e-02_wp
+         APE200 = 6.2553247576e-02_wp
+         APE300 = -8.1748804580e-03_wp
+         APE010 = 1.6770119901e-01_wp
+         APE110 = 8.7657703198e-02_wp
+         APE210 = -4.6988432490e-02_wp
+         APE020 = -9.2436260751e-02_wp
+         APE120 = -2.0653912979e-02_wp
+         APE030 = 2.7963967985e-02_wp
+         APE001 = 3.4273852498e-02_wp
+         APE101 = -3.5518942529e-03_wp
+         APE011 = -4.1399943421e-02_wp
+         APE002 = 7.1193413354e-03_wp
+         !
+         BPE000 = 2.6468936504e-01_wp
+         BPE100 = -6.3170583896e-01_wp
+         BPE200 = 5.7736640125e-01_wp
+         BPE300 = -1.6435438140e-01_wp
+         BPE010 = 2.7912203607e-02_wp
+         BPE110 = -6.2259666565e-02_wp
+         BPE210 = 1.2204769966e-02_wp
+         BPE020 = -2.1811574876e-02_wp
+         BPE120 = 2.3383950895e-02_wp
+         BPE030 = 3.4261630030e-03_wp
+         BPE001 = 4.1079296834e-02_wp
+         BPE101 = -4.1503681096e-02_wp
+         BPE011 = 1.7676120780e-03_wp
+         BPE002 = 1.7269476440e-04_wp
+         !
+      CASE( np_eos80 )                        !==  polynomial EOS-80 formulation  ==!
+         !
+         IF(lwp) WRITE(numout,*)
+         IF(lwp) WRITE(numout,*) '   ==>>>   use of EOS-80 equation of state (pot. temp. and pract. salinity)'
+         !
+         l_useCT = .FALSE.                         ! model temperature is Potential temperature
+         rdeltaS = 20._wp
+         r1_S0  = 1._wp/40._wp
+         r1_T0  = 1._wp/40._wp
+         r1_Z0  = 1.e-4_wp
+         !
+         EOS000 = 9.5356891948e+02_wp
+         EOS100 = 1.7136499189e+02_wp
+         EOS200 = -3.7501039454e+02_wp
+         EOS300 = 5.1856810420e+02_wp
+         EOS400 = -3.7264470465e+02_wp
+         EOS500 = 1.4302533998e+02_wp
+         EOS600 = -2.2856621162e+01_wp
+         EOS010 = 1.0087518651e+01_wp
+         EOS110 = -1.3647741861e+01_wp
+         EOS210 = 8.8478359933_wp
+         EOS310 = -7.2329388377_wp
+         EOS410 = 1.4774410611_wp
+         EOS510 = 2.0036720553e-01_wp
+         EOS020 = -2.5579830599e+01_wp
+         EOS120 = 2.4043512327e+01_wp
+         EOS220 = -1.6807503990e+01_wp
+         EOS320 = 8.3811577084_wp
+         EOS420 = -1.9771060192_wp
+         EOS030 = 1.6846451198e+01_wp
+         EOS130 = -2.1482926901e+01_wp
+         EOS230 = 1.0108954054e+01_wp
+         EOS330 = -6.2675951440e-01_wp
+         EOS040 = -8.0812310102_wp
+         EOS140 = 1.0102374985e+01_wp
+         EOS240 = -4.8340368631_wp
+         EOS050 = 1.2079167803_wp
+         EOS150 = 1.1515380987e-01_wp
+         EOS060 = -2.4520288837e-01_wp
+         EOS001 = 1.0748601068e+01_wp
+         EOS101 = -1.7817043500e+01_wp
+         EOS201 = 2.2181366768e+01_wp
+         EOS301 = -1.6750916338e+01_wp
+         EOS401 = 4.1202230403_wp
+         EOS011 = -1.5852644587e+01_wp
+         EOS111 = -7.6639383522e-01_wp
+         EOS211 = 4.1144627302_wp
+         EOS311 = -6.6955877448e-01_wp
+         EOS021 = 9.9994861860_wp
+         EOS121 = -1.9467067787e-01_wp
+         EOS221 = -1.2177554330_wp
+         EOS031 = -3.4866102017_wp
+         EOS131 = 2.2229155620e-01_wp
+         EOS041 = 5.9503008642e-01_wp
+         EOS002 = 1.0375676547_wp
+         EOS102 = -3.4249470629_wp
+         EOS202 = 2.0542026429_wp
+         EOS012 = 2.1836324814_wp
+         EOS112 = -3.4453674320e-01_wp
+         EOS022 = -1.2548163097_wp
+         EOS003 = 1.8729078427e-02_wp
+         EOS103 = -5.7238495240e-02_wp
+         EOS013 = 3.8306136687e-01_wp
+         !
+         ALP000 = -2.5218796628e-01_wp
+         ALP100 = 3.4119354654e-01_wp
+         ALP200 = -2.2119589983e-01_wp
+         ALP300 = 1.8082347094e-01_wp
+         ALP400 = -3.6936026529e-02_wp
+         ALP500 = -5.0091801383e-03_wp
+         ALP010 = 1.2789915300_wp
+         ALP110 = -1.2021756164_wp
+         ALP210 = 8.4037519952e-01_wp
+         ALP310 = -4.1905788542e-01_wp
+         ALP410 = 9.8855300959e-02_wp
+         ALP020 = -1.2634838399_wp
+         ALP120 = 1.6112195176_wp
+         ALP220 = -7.5817155402e-01_wp
+         ALP320 = 4.7006963580e-02_wp
+         ALP030 = 8.0812310102e-01_wp
+         ALP130 = -1.0102374985_wp
+         ALP230 = 4.8340368631e-01_wp
+         ALP040 = -1.5098959754e-01_wp
+         ALP140 = -1.4394226233e-02_wp
+         ALP050 = 3.6780433255e-02_wp
+         ALP001 = 3.9631611467e-01_wp
+         ALP101 = 1.9159845880e-02_wp
+         ALP201 = -1.0286156825e-01_wp
+         ALP301 = 1.6738969362e-02_wp
+         ALP011 = -4.9997430930e-01_wp
+         ALP111 = 9.7335338937e-03_wp
+         ALP211 = 6.0887771651e-02_wp
+         ALP021 = 2.6149576513e-01_wp
+         ALP121 = -1.6671866715e-02_wp
+         ALP031 = -5.9503008642e-02_wp
+         ALP002 = -5.4590812035e-02_wp
+         ALP102 = 8.6134185799e-03_wp
+         ALP012 = 6.2740815484e-02_wp
+         ALP003 = -9.5765341718e-03_wp
+         !
+         BET000 = 2.1420623987_wp
+         BET100 = -9.3752598635_wp
+         BET200 = 1.9446303907e+01_wp
+         BET300 = -1.8632235232e+01_wp
+         BET400 = 8.9390837485_wp
+         BET500 = -1.7142465871_wp
+         BET010 = -1.7059677327e-01_wp
+         BET110 = 2.2119589983e-01_wp
+         BET210 = -2.7123520642e-01_wp
+         BET310 = 7.3872053057e-02_wp
+         BET410 = 1.2522950346e-02_wp
+         BET020 = 3.0054390409e-01_wp
+         BET120 = -4.2018759976e-01_wp
+         BET220 = 3.1429341406e-01_wp
+         BET320 = -9.8855300959e-02_wp
+         BET030 = -2.6853658626e-01_wp
+         BET130 = 2.5272385134e-01_wp
+         BET230 = -2.3503481790e-02_wp
+         BET040 = 1.2627968731e-01_wp
+         BET140 = -1.2085092158e-01_wp
+         BET050 = 1.4394226233e-03_wp
+         BET001 = -2.2271304375e-01_wp
+         BET101 = 5.5453416919e-01_wp
+         BET201 = -6.2815936268e-01_wp
+         BET301 = 2.0601115202e-01_wp
+         BET011 = -9.5799229402e-03_wp
+         BET111 = 1.0286156825e-01_wp
+         BET211 = -2.5108454043e-02_wp
+         BET021 = -2.4333834734e-03_wp
+         BET121 = -3.0443885826e-02_wp
+         BET031 = 2.7786444526e-03_wp
+         BET002 = -4.2811838287e-02_wp
+         BET102 = 5.1355066072e-02_wp
+         BET012 = -4.3067092900e-03_wp
+         BET003 = -7.1548119050e-04_wp
+         !
+         PEN000 = -5.3743005340_wp
+         PEN100 = 8.9085217499_wp
+         PEN200 = -1.1090683384e+01_wp
+         PEN300 = 8.3754581690_wp
+         PEN400 = -2.0601115202_wp
+         PEN010 = 7.9263222935_wp
+         PEN110 = 3.8319691761e-01_wp
+         PEN210 = -2.0572313651_wp
+         PEN310 = 3.3477938724e-01_wp
+         PEN020 = -4.9997430930_wp
+         PEN120 = 9.7335338937e-02_wp
+         PEN220 = 6.0887771651e-01_wp
+         PEN030 = 1.7433051009_wp
+         PEN130 = -1.1114577810e-01_wp
+         PEN040 = -2.9751504321e-01_wp
+         PEN001 = -6.9171176978e-01_wp
+         PEN101 = 2.2832980419_wp
+         PEN201 = -1.3694684286_wp
+         PEN011 = -1.4557549876_wp
+         PEN111 = 2.2969116213e-01_wp
+         PEN021 = 8.3654420645e-01_wp
+         PEN002 = -1.4046808820e-02_wp
+         PEN102 = 4.2928871430e-02_wp
+         PEN012 = -2.8729602515e-01_wp
+         !
+         APE000 = -1.9815805734e-01_wp
+         APE100 = -9.5799229402e-03_wp
+         APE200 = 5.1430784127e-02_wp
+         APE300 = -8.3694846809e-03_wp
+         APE010 = 2.4998715465e-01_wp
+         APE110 = -4.8667669469e-03_wp
+         APE210 = -3.0443885826e-02_wp
+         APE020 = -1.3074788257e-01_wp
+         APE120 = 8.3359333577e-03_wp
+         APE030 = 2.9751504321e-02_wp
+         APE001 = 3.6393874690e-02_wp
+         APE101 = -5.7422790533e-03_wp
+         APE011 = -4.1827210323e-02_wp
+         APE002 = 7.1824006288e-03_wp
+         !
+         BPE000 = 1.1135652187e-01_wp
+         BPE100 = -2.7726708459e-01_wp
+         BPE200 = 3.1407968134e-01_wp
+         BPE300 = -1.0300557601e-01_wp
+         BPE010 = 4.7899614701e-03_wp
+         BPE110 = -5.1430784127e-02_wp
+         BPE210 = 1.2554227021e-02_wp
+         BPE020 = 1.2166917367e-03_wp
+         BPE120 = 1.5221942913e-02_wp
+         BPE030 = -1.3893222263e-03_wp
+         BPE001 = 2.8541225524e-02_wp
+         BPE101 = -3.4236710714e-02_wp
+         BPE011 = 2.8711395266e-03_wp
+         BPE002 = 5.3661089288e-04_wp
+         !
+      CASE( np_seos )                        !==  Simplified EOS     ==!
+         IF(lwp) THEN
+            WRITE(numout,*)
+            WRITE(numout,*) '   ==>>>   use of simplified eos:    '
+            WRITE(numout,*) '              rhd(dT=T-10,dS=S-35,Z) = [-a0*(1+lambda1/2*dT+mu1*Z)*dT '
+            WRITE(numout,*) '                                       + b0*(1+lambda2/2*dT+mu2*Z)*dS - nu*dT*dS] / rau0'
+            WRITE(numout,*) '              with the following coefficients :'
+            WRITE(numout,*) '                 thermal exp. coef.    rn_a0      = ', rn_a0
+            WRITE(numout,*) '                 saline  cont. coef.   rn_b0      = ', rn_b0
+            WRITE(numout,*) '                 cabbeling coef.       rn_lambda1 = ', rn_lambda1
+            WRITE(numout,*) '                 cabbeling coef.       rn_lambda2 = ', rn_lambda2
+            WRITE(numout,*) '                 thermobar. coef.      rn_mu1     = ', rn_mu1
+            WRITE(numout,*) '                 thermobar. coef.      rn_mu2     = ', rn_mu2
+            WRITE(numout,*) '                 2nd cabbel. coef.     rn_nu      = ', rn_nu
+            WRITE(numout,*) '              Caution: rn_beta0=0 incompatible with ddm parameterization '
+         ENDIF
+         l_useCT = .TRUE.          ! Use conservative temperature
+         !
+      CASE( np_leos )                        !==  Linear ISOMIP EOS     ==!
+         IF(lwp) THEN
+            WRITE(numout,*)
+            WRITE(numout,*) '          use of linear ISOMIP eos:    rhd(dT=T-(-1),dS=S-(34.2),Z) = '
+            WRITE(numout,*) '             [ -a0*dT + b0*dS ]/rau0'
+            WRITE(numout,*)
+            WRITE(numout,*) '             thermal exp. coef.    rn_a0      = ', rn_a0
+            WRITE(numout,*) '             saline  cont. coef.   rn_b0      = ', rn_b0
+         ENDIF
+         !
+      CASE DEFAULT                     !==  ERROR in neos  ==!
+         WRITE(ctmp1,*) '          bad flag value for neos = ', neos, '. You should never see this error'
+         CALL ctl_stop( ctmp1 )
+         !
+      END SELECT
+      !
+      rau0_rcp    = rau0 * rcp 
+      r1_rau0     = 1._wp / rau0
+      r1_rcp      = 1._wp / rcp
+      r1_rau0_rcp = 1._wp / rau0_rcp 
+      !
+      IF(lwp) THEN
+         IF( l_useCT )   THEN
+            WRITE(numout,*)
+            WRITE(numout,*) '   ==>>>   model uses Conservative Temperature'
+            WRITE(numout,*) '           Important: model must be initialized with CT and SA fields'
+         ELSE
+            WRITE(numout,*)
+            WRITE(numout,*) '   ==>>>   model does not use Conservative Temperature'
+         ENDIF
+      ENDIF
+      !
+      IF(lwp) WRITE(numout,*)
+      IF(lwp) WRITE(numout,*) '   Associated physical constant'
+      IF(lwp) WRITE(numout,*) '      volumic mass of reference           rau0  = ', rau0   , ' kg/m^3'
+      IF(lwp) WRITE(numout,*) '      1. / rau0                        r1_rau0  = ', r1_rau0, ' m^3/kg'
+      IF(lwp) WRITE(numout,*) '      ocean specific heat                 rcp   = ', rcp    , ' J/Kelvin'
+      IF(lwp) WRITE(numout,*) '      rau0 * rcp                       rau0_rcp = ', rau0_rcp
+      IF(lwp) WRITE(numout,*) '      1. / ( rau0 * rcp )           r1_rau0_rcp = ', r1_rau0_rcp
+      !
+   END SUBROUTINE eos_init
+
+   !!======================================================================
+END MODULE eosbn2
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/isf.F90
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/isf.F90	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/isf.F90	(revision 11889)
@@ -0,0 +1,249 @@
+MODULE isf
+   !!======================================================================
+   !!                       ***  MODULE  sbcisf  ***
+   !! Surface module :  compute iceshelf melt and heat flux
+   !!======================================================================
+   !! History :  3.2  !  2011-02  (C.Harris  ) Original code isf cav
+   !!            X.X  !  2006-02  (C. Wang   ) Original code bg03
+   !!            3.4  !  2013-03  (P. Mathiot) Merging + parametrization
+   !!            4.1  !  2019-09  (P. Mathiot) Split param/explicit ice shelf and re-organisation
+   !!----------------------------------------------------------------------
+
+   !!----------------------------------------------------------------------
+   !!   isf          : define and allocate ice shelf variables
+   !!----------------------------------------------------------------------
+
+   USE in_out_manager, ONLY: wp, jpi,jpj, jpk, jpts ! I/O manager
+   USE lib_mpp       , ONLY: ctl_stop, mpp_sum      ! MPP library
+   USE fldread        ! read input fields
+
+   IMPLICIT NONE
+
+   PRIVATE
+
+   PUBLIC   isf_alloc, isf_alloc_par, isf_alloc_cav, isf_alloc_cpl
+   !
+   !-------------------------------------------------------
+   ! 0 :              namelist parameter
+   !-------------------------------------------------------
+   !
+   ! 0.1 -------- ice shelf cavity parameter --------------
+   CHARACTER(LEN=256), PUBLIC :: cn_isfdir
+   LOGICAL           , PUBLIC :: ln_isf
+   LOGICAL           , PUBLIC :: ln_isfdebug
+   !
+   ! 0.2 -------- ice shelf cavity opened namelist parameter -------------
+   LOGICAL           , PUBLIC :: ln_isfcav_mlt   !: logical for the use of ice shelf parametrisation
+   REAL(wp)          , PUBLIC :: rn_gammat0      !: temperature exchange coeficient    []
+   REAL(wp)          , PUBLIC :: rn_gammas0      !: salinity    exchange coeficient    []
+   REAL(wp)          , PUBLIC :: rn_vtide        !: tidal background velocity (can be different to what is used in the 
+   REAL(wp)          , PUBLIC :: rn_htbl         !: Losch top boundary layer thickness [m]
+   CHARACTER(LEN=256), PUBLIC :: cn_gammablk     !: gamma formulation
+   CHARACTER(LEN=256), PUBLIC :: cn_isfcav_mlt   !: melt formulation (cavity/param)
+   CHARACTER(LEN=256), PUBLIC :: cn_isfload      !: ice shelf load computation method
+   TYPE(FLD_N)       , PUBLIC :: sn_isfcav_fwf   !: information about the isf melting file to be read
+   !
+   ! 0.3 -------- ice shelf cavity parametrised namelist parameter -------------
+   LOGICAL           , PUBLIC :: ln_isfpar_mlt   !: logical for the computation of melt inside the cavity
+   CHARACTER(LEN=256), PUBLIC :: cn_isfpar_mlt   !: melt formulation (cavity/param)
+   TYPE(FLD_N)       , PUBLIC :: sn_isfpar_fwf   !: information about the isf melting file to be read
+   TYPE(FLD_N)       , PUBLIC :: sn_isfpar_zmax  !: information about the grounding line depth file to be read
+   TYPE(FLD_N)       , PUBLIC :: sn_isfpar_zmin  !: information about the calving   line depth file to be read
+   TYPE(FLD_N)       , PUBLIC :: sn_isfpar_Leff  !: information about the effective length     file to be read
+   !
+   ! 0.4 -------- coupling namelist parameter -------------
+   LOGICAL, PUBLIC :: ln_isfcpl      !:
+   LOGICAL, PUBLIC :: ln_isfcpl_cons !:
+   INTEGER, PUBLIC :: nn_drown       !:
+   !
+   !-------------------------------------------------------
+   ! 1 :              ice shelf parameter
+   !-------------------------------------------------------
+   !
+   REAL(wp), PARAMETER, PUBLIC :: rLfusisf = 0.334e6_wp    !: latent heat of fusion of ice shelf     [J/kg]
+   REAL(wp), PARAMETER, PUBLIC :: rcpisf = 2000.0_wp       !: specific heat of ice shelf             [J/kg/K]
+   REAL(wp), PARAMETER, PUBLIC :: rkappa = 0.0_wp          !: ISOMIP+ no heat diffusivity through the ice-shelf [m2/s]
+   REAL(wp), PARAMETER, PUBLIC :: rhoisf = 920.0_wp        !: volumic mass of ice shelf              [kg/m3]
+   REAL(wp), PARAMETER, PUBLIC :: rtsurf = -20.0           !: surface temperature                    [C]
+   !
+   !-------------------------------------------------------
+   ! 2 :              ice shelf global variables
+   !-------------------------------------------------------
+   !
+   ! 0.1 -------- ice shelf cavity parameter --------------
+   LOGICAL , PUBLIC            :: l_isfoasis
+   REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:)    ::   risfload                    !: ice shelf load
+   REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:)    ::   fwfisf_oasis
+   !
+   ! 0.2 -------- ice shelf cavity melt namelist parameter -------------
+   INTEGER  , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:)   :: mskisf_cav                    !:
+   INTEGER  , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:)   :: misfkt_cav   , misfkb_cav     !: 
+   REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:)   :: rhisf_tbl_cav, rfrac_tbl_cav  !: 
+   REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:)   :: fwfisf_cav   , fwfisf_cav_b   !: before and now net fwf from the ice shelf        [kg/m2/s]
+   REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: risf_cav_tsc , risf_cav_tsc_b !: before and now T & S isf contents [K.m/s & PSU.m/s]  
+   TYPE(FLD), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:)     :: sf_isfcav_fwf                 !:
+   !
+   REAL(wp) , PUBLIC                                      :: risf_lamb1, risf_lamb2, risf_lamb3  ! freezing point linearization coeficient
+   !
+   ! 0.3 -------- ice shelf param. melt namelist parameter -------------
+   INTEGER  , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:)   :: mskisf_par                    !:
+   INTEGER  , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:)   :: misfkt_par   , misfkb_par     !:
+   REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:)   :: rhisf_tbl_par, rfrac_tbl_par  !: 
+   REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:)   :: fwfisf_par   , fwfisf_par_b   !: before and now net fwf from the ice shelf        [kg/m2/s]
+   REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: risf_par_tsc , risf_par_tsc_b !: before and now T & S isf contents [K.m/s & PSU.m/s]  
+   TYPE(FLD), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:)     :: sf_isfpar_fwf                 !:
+   !
+   REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:)   :: rhisf0_tbl_par                !: thickness of tbl (initial value)  [m]
+   REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:)   :: risfLeff                      !:
+   !
+   ! 0.4 -------- coupling namelist parameter -------------
+   INTEGER , PUBLIC                                        ::   nstp_iscpl   !:
+   REAL(wp), PUBLIC                                        ::   rdt_iscpl    !: 
+   REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:)     ::   risfcpl_ssh, risfcpl_cons_ssh, risfcpl_cons_ssh_b               !:
+   REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:)   ::   risfcpl_vol, risfcpl_cons_vol, risfcpl_cons_vol_b  !:
+   REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) ::   risfcpl_tsc, risfcpl_cons_tsc, risfcpl_cons_tsc_b  !:
+   !
+   !!----------------------------------------------------------------------
+   !! NEMO/OCE 4.0 , NEMO Consortium (2018)
+   !! $Id: sbcisf.F90 10536 2019-01-16 19:21:09Z mathiot $
+   !! Software governed by the CeCILL license (see ./LICENSE)
+   !!----------------------------------------------------------------------
+CONTAINS
+
+   SUBROUTINE isf_alloc_par()
+      !!---------------------------------------------------------------------
+      !!                  ***  ROUTINE isf_alloc_par  ***
+      !!
+      !! ** Purpose : 
+      !!
+      !! ** Method  : 
+      !!
+      !!----------------------------------------------------------------------
+      INTEGER :: ierr, ialloc
+      !!----------------------------------------------------------------------
+      ierr = 0       ! set to zero if no array to be allocated
+      !
+      ALLOCATE(risfLeff(jpi,jpj), STAT=ialloc)
+      ierr = ierr + ialloc
+      !
+      ALLOCATE(misfkt_par(jpi,jpj), misfkb_par(jpi,jpj), STAT=ialloc )
+      ierr = ierr + ialloc
+      !
+      ALLOCATE( rfrac_tbl_par(jpi,jpj), STAT=ialloc)
+      ierr = ierr + ialloc
+      !
+      ALLOCATE( rhisf_tbl_par(jpi,jpj), rhisf0_tbl_par(jpi,jpj), STAT=ialloc)
+      ierr = ierr + ialloc
+      !
+      ALLOCATE( mskisf_par(jpi,jpj), STAT=ialloc)
+      ierr = ierr + ialloc
+      !
+      CALL mpp_sum ( 'isf', ierr )
+      IF( ierr /= 0 )   CALL ctl_stop( 'STOP', 'isf: failed to allocate arrays.' )
+      !
+   END SUBROUTINE isf_alloc_par
+
+   SUBROUTINE isf_alloc_cav()
+      !!---------------------------------------------------------------------
+      !!                  ***  ROUTINE isf_alloc_cav  ***
+      !!
+      !! ** Purpose : 
+      !!
+      !! ** Method  : 
+      !!
+      !!----------------------------------------------------------------------
+      INTEGER :: ierr, ialloc
+      !!----------------------------------------------------------------------
+      ierr = 0       ! set to zero if no array to be allocated
+      !
+      ALLOCATE(misfkt_cav(jpi,jpj), misfkb_cav(jpi,jpj), STAT=ialloc )
+      ierr = ierr + ialloc
+      !
+      ALLOCATE( rfrac_tbl_cav(jpi,jpj), STAT=ialloc)
+      ierr = ierr + ialloc
+      !
+      ALLOCATE( rhisf_tbl_cav(jpi,jpj), STAT=ialloc)
+      ierr = ierr + ialloc
+      !
+      CALL mpp_sum ( 'isf', ierr )
+      IF( ierr /= 0 )   CALL ctl_stop( 'STOP', 'isf: failed to allocate arrays.' )
+      !
+   END SUBROUTINE isf_alloc_cav
+
+   SUBROUTINE isf_alloc_cpl()
+      !!---------------------------------------------------------------------
+      !!                  ***  ROUTINE isf_alloc_cpl  ***
+      !!
+      !! ** Purpose : 
+      !!
+      !! ** Method  : 
+      !!
+      !!----------------------------------------------------------------------
+      INTEGER :: ierr, ialloc
+      !!----------------------------------------------------------------------
+      ierr = 0
+      !
+      ALLOCATE( risfcpl_ssh(jpi,jpj), risfcpl_tsc(jpi,jpj,jpk,jpts), risfcpl_vol(jpi,jpj,jpk), STAT=ialloc )
+      ierr = ierr + ialloc
+      !
+      risfcpl_tsc(:,:,:,:) = 0.0 ; risfcpl_vol(:,:,:) = 0.0 ; risfcpl_ssh(:,:) = 0.0
+
+      IF ( ln_isfcpl_cons) THEN
+         ALLOCATE( risfcpl_cons_tsc(jpi,jpj,jpk,jpts) , risfcpl_cons_vol(jpi,jpj,jpk) ,risfcpl_cons_ssh(jpi,jpj), STAT=ialloc )
+         ierr = ierr + ialloc
+         !
+         risfcpl_cons_tsc(:,:,:,:) = 0.0 ; risfcpl_cons_vol(:,:,:) = 0.0 ; risfcpl_cons_ssh(:,:) = 0.0
+         !
+      END IF
+      !
+      CALL mpp_sum ( 'isf', ierr )
+      IF( ierr /= 0 )   CALL ctl_stop('STOP','isfcpl: failed to allocate arrays.')
+      !
+   END SUBROUTINE isf_alloc_cpl
+
+   SUBROUTINE isf_alloc()
+      !!---------------------------------------------------------------------
+      !!                  ***  ROUTINE isf_alloc  ***
+      !!
+      !! ** Purpose : 
+      !!
+      !! ** Method  : 
+      !!
+      !!----------------------------------------------------------------------
+      INTEGER :: ierr, ialloc
+      !!----------------------------------------------------------------------
+      !
+      ierr = 0       ! set to zero if no array to be allocated
+      !
+      ALLOCATE(fwfisf_par(jpi,jpj)  , fwfisf_par_b(jpi,jpj), &
+         &     fwfisf_cav(jpi,jpj)  , fwfisf_cav_b(jpi,jpj), &
+         &     fwfisf_oasis(jpi,jpj),            STAT=ialloc )
+      ierr = ierr + ialloc
+      !
+      ALLOCATE(risf_par_tsc(jpi,jpj,jpts), risf_par_tsc_b(jpi,jpj,jpts), STAT=ialloc )
+      ierr = ierr + ialloc
+      !
+      ALLOCATE(risf_cav_tsc(jpi,jpj,jpts), risf_cav_tsc_b(jpi,jpj,jpts), STAT=ialloc )
+      ierr = ierr + ialloc
+      !
+      ALLOCATE(risfload(jpi,jpj), STAT=ialloc)
+      ierr = ierr + ialloc
+      !
+      ALLOCATE( mskisf_cav(jpi,jpj), STAT=ialloc)
+      ierr = ierr + ialloc
+      !
+      CALL mpp_sum ( 'isf', ierr )
+      IF( ierr /= 0 )   CALL ctl_stop( 'STOP', 'isf: failed to allocate arrays.' )
+      !
+      ! initalisation of fwf and tsc array to 0
+      risfload(:,:)       = 0.0_wp
+      fwfisf_oasis(:,:)   = 0.0_wp
+      fwfisf_par(:,:)     = 0.0_wp    ; fwfisf_par_b(:,:)     = 0.0_wp
+      fwfisf_cav(:,:)     = 0.0_wp    ; fwfisf_cav_b(:,:)     = 0.0_wp
+      risf_cav_tsc(:,:,:) = 0.0_wp    ; risf_cav_tsc_b(:,:,:) = 0.0_wp
+      risf_par_tsc(:,:,:) = 0.0_wp    ; risf_par_tsc_b(:,:,:) = 0.0_wp
+      !
+
+   END SUBROUTINE isf_alloc
+
+END MODULE isf
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/isfcavgam.F90
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/isfcavgam.F90	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/isfcavgam.F90	(revision 11889)
@@ -0,0 +1,247 @@
+MODULE isfcavgam
+   !!======================================================================
+   !!                       ***  MODULE  isfgammats  ***
+   !! Ice shelf gamma module :  compute exchange coeficient at the ice/ocean interface
+   !!======================================================================
+   !! History :  4.1  !  (P. Mathiot) original
+   !!----------------------------------------------------------------------
+
+   !!----------------------------------------------------------------------
+   !!   isfcav_gammats       : compute exchange coeficient gamma 
+   !!----------------------------------------------------------------------
+   USE isf
+   USE isfutils, ONLY: debug
+   USE isftbl  , ONLY: isf_tbl
+
+   USE oce     , ONLY: un, vn, rn2         ! ocean dynamics and tracers
+   USE phycst  , ONLY: grav, vkarmn        ! physical constant
+   USE eosbn2  , ONLY: eos_rab             ! equation of state
+   USE zdfdrg  , ONLY: rCd0_top, r_ke0_top ! vertical physics: top/bottom drag coef.
+   USE iom     , ONLY: iom_put             !
+   USE lib_mpp , ONLY: ctl_stop
+
+   USE dom_oce        ! ocean space and time domain
+   USE in_out_manager ! I/O manager
+   !
+   IMPLICIT NONE
+   !
+   PRIVATE
+   !
+   PUBLIC   isfcav_gammats
+
+   !!----------------------------------------------------------------------
+   !! NEMO/OCE 4.0 , NEMO Consortium (2018)
+   !! $Id: sbcisf.F90 10536 2019-01-16 19:21:09Z mathiot $
+   !! Software governed by the CeCILL license (see ./LICENSE)
+   !!----------------------------------------------------------------------
+CONTAINS
+   !
+   !!-----------------------------------------------------------------------------------------------------
+   !!                              PUBLIC SUBROUTINES 
+   !!-----------------------------------------------------------------------------------------------------
+   !
+   SUBROUTINE isfcav_gammats( pttbl, pstbl, pqoce, pqfwf, pgt, pgs )
+      !!----------------------------------------------------------------------
+      !! ** Purpose    : compute the coefficient echange for heat and fwf flux
+      !!
+      !! ** Method     : select the gamma formulation
+      !!                 3 method available (cst, AD15 and HJ99)
+      !!---------------------------------------------------------------------
+      !!-------------------------- OUT -------------------------------------
+      REAL(wp), DIMENSION(jpi,jpj), INTENT(  out) :: pgt  , pgs      ! gamma t and gamma s 
+      !!-------------------------- IN  -------------------------------------
+      REAL(wp), DIMENSION(jpi,jpj), INTENT(in   ) :: pqoce, pqfwf    ! isf heat and fwf
+      REAL(wp), DIMENSION(jpi,jpj), INTENT(in   ) :: pttbl, pstbl    ! top boundary layer tracer
+      !!---------------------------------------------------------------------
+      REAL(wp), DIMENSION(jpi,jpj)                :: zutbl, zvtbl    ! top boundary layer velocity
+      !!---------------------------------------------------------------------
+      !
+      ! compute velocity in the tbl if needed
+      SELECT CASE ( cn_gammablk )
+      CASE ( 'spe'  ) 
+         ! gamma is constant (specified in namelist)
+         ! nothing to do
+      CASE ('ad15', 'hj99')
+         ! compute velocity in tbl
+         CALL isf_tbl(un(:,:,:) ,zutbl(:,:),'U', miku, rhisf_tbl_cav)
+         CALL isf_tbl(vn(:,:,:) ,zvtbl(:,:),'V', mikv, rhisf_tbl_cav)
+         !
+         ! mask velocity in tbl with ice shelf mask
+         zutbl(:,:) = zutbl(:,:) * mskisf_cav(:,:)
+         zvtbl(:,:) = zvtbl(:,:) * mskisf_cav(:,:)
+         !
+         ! output
+         CALL iom_put('utbl',zutbl(:,:))
+         CALL iom_put('vtbl',zvtbl(:,:))
+      CASE DEFAULT
+         CALL ctl_stop('STOP','method to compute gamma (cn_gammablk) is unknown (should not see this)')
+      END SELECT
+      ! 
+      ! compute gamma
+      SELECT CASE ( cn_gammablk )
+      CASE ( 'spe'  ) ! gamma is constant (specified in namelist)
+         pgt(:,:) = rn_gammat0
+         pgs(:,:) = rn_gammas0
+      CASE ( 'ad15' ) ! gamma is proportional to u*
+         CALL gammats_AD15 (              zutbl, zvtbl, rCd0_top, rn_vtide**2,               pgt, pgs )
+      CASE ( 'hj99' ) ! gamma depends of stability of boundary layer and u*
+         CALL gammats_HJ99 (pttbl, pstbl, zutbl, zvtbl, rCd0_top, r_ke0_top  , pqoce, pqfwf, pgt, pgs )
+      CASE DEFAULT
+         CALL ctl_stop('STOP','method to compute gamma (cn_gammablk) is unknown (should not see this)')
+      END SELECT
+      !
+      ! ouput exchange coeficient and tbl velocity
+      CALL iom_put('isfgammat', pgt(:,:))
+      CALL iom_put('isfgammas', pgs(:,:))
+      !
+      IF (ln_isfdebug) THEN
+         CALL debug( 'isfcav_gam pgt:', pgt(:,:) )
+         CALL debug( 'isfcav_gam pgs:', pgs(:,:) )
+      END IF
+      !
+   END SUBROUTINE isfcav_gammats
+   !
+   !!-----------------------------------------------------------------------------------------------------
+   !!                              PRIVATE SUBROUTINES 
+   !!-----------------------------------------------------------------------------------------------------
+   !
+   SUBROUTINE gammats_AD15(putbl, pvtbl, pCd, pke2, &   ! <<== in
+      &                                  pgt, pgs   )   ! ==>> out gammats [m/s]
+      !!----------------------------------------------------------------------
+      !! ** Purpose    : compute the coefficient echange coefficient 
+      !!
+      !! ** Method     : gamma is velocity dependent ( gt= gt0 * Ustar )
+      !!
+      !! ** Reference  : Jenkins et al., 2010, JPO, p2298-2312
+      !!                 Asay-Davis et al., Geosci. Model Dev., 9, 2471-2497, 2016
+      !!---------------------------------------------------------------------
+      !!-------------------------- OUT -------------------------------------
+      REAL(wp), DIMENSION(jpi,jpj), INTENT(  out) :: pgt, pgs     ! gammat and gammas [m/s]
+      !!-------------------------- IN  -------------------------------------
+      REAL(wp), DIMENSION(jpi,jpj), INTENT(in   ) :: putbl, pvtbl ! velocity in the losch top boundary layer
+      REAL(wp), DIMENSION(jpi,jpj), INTENT(in   ) :: pCd          ! drag coefficient
+      REAL(wp),                     INTENT(in   ) :: pke2         ! background velocity
+      !!---------------------------------------------------------------------
+      REAL(wp), DIMENSION(jpi,jpj) :: zustar
+      !!---------------------------------------------------------------------
+      !
+      ! compute ustar (AD15 eq. 27)
+      zustar(:,:) = SQRT( pCd(:,:) * ( putbl(:,:) * putbl(:,:) + pvtbl(:,:) * pvtbl(:,:) + pke2 ) ) * mskisf_cav(:,:)
+      !
+      ! Compute gammats
+      pgt(:,:) = zustar(:,:) * rn_gammat0
+      pgs(:,:) = zustar(:,:) * rn_gammas0
+      !
+      ! output ustar
+      CALL iom_put('isfustar',zustar(:,:))
+      !
+   END SUBROUTINE gammats_AD15
+
+   SUBROUTINE gammats_HJ99( pttbl, pstbl, putbl, pvtbl, pCd, pke2, pqoce, pqfwf, &  ! <<== in
+      &                                                            pgt  , pgs    )  ! ==>> out gammats [m/s]
+      !!----------------------------------------------------------------------
+      !! ** Purpose    : compute the coefficient echange coefficient 
+      !!
+      !! ** Method     : gamma is velocity dependent and stability dependent
+      !!
+      !! ** Reference  : Holland and Jenkins, 1999, JPO, p1787-1800
+      !!---------------------------------------------------------------------
+      !!-------------------------- OUT -------------------------------------
+      REAL(wp), DIMENSION(jpi,jpj), INTENT(  out) :: pgt, pgs     ! gammat and gammas
+      !!-------------------------- IN  -------------------------------------
+      REAL(wp),                     INTENT(in   ) :: pke2           ! background velocity squared
+      REAL(wp), DIMENSION(jpi,jpj), INTENT(in   ) :: pqoce, pqfwf   ! surface heat flux and fwf flux
+      REAL(wp), DIMENSION(jpi,jpj), INTENT(in   ) :: pCd            ! drag coeficient
+      REAL(wp), DIMENSION(jpi,jpj), INTENT(in   ) :: putbl, pvtbl   ! velocity in the losch top boundary layer
+      REAL(wp), DIMENSION(jpi,jpj), INTENT(in   ) :: pttbl, pstbl   ! tracer   in the losch top boundary layer
+      !!---------------------------------------------------------------------
+      INTEGER  :: ji, jj                     ! loop index
+      INTEGER  :: ikt                        ! local integer
+      REAL(wp) :: zdku, zdkv                 ! U, V shear 
+      REAL(wp) :: zPr, zSc, zRc              ! Prandtl, Scmidth and Richardson number 
+      REAL(wp) :: zmob, zmols                ! Monin Obukov length, coriolis factor at T point
+      REAL(wp) :: zbuofdep, zhnu             ! Bouyancy length scale, sublayer tickness
+      REAL(wp) :: zhmax                      ! limitation of mol
+      REAL(wp) :: zetastar                   ! stability parameter
+      REAL(wp) :: zgmolet, zgmoles, zgturb   ! contribution of modelecular sublayer and turbulence 
+      REAL(wp) :: zcoef                      ! temporary coef
+      REAL(wp) :: zdep
+      REAL(wp) :: zeps = 1.0e-20_wp    
+      REAL(wp), PARAMETER :: zxsiN = 0.052_wp   ! dimensionless constant
+      REAL(wp), PARAMETER :: znu   = 1.95e-6_wp ! kinamatic viscosity of sea water (m2.s-1)
+      REAL(wp), DIMENSION(2) :: zts, zab
+      REAL(wp), DIMENSION(jpi,jpj) :: zustar    ! friction velocity
+      !!---------------------------------------------------------------------
+      !
+      ! compute ustar
+      zustar(:,:) = SQRT( pCd * ( putbl(:,:) * putbl(:,:) + pvtbl(:,:) * pvtbl(:,:) + pke2 ) )
+      !
+      ! output ustar
+      CALL iom_put('isfustar',zustar(:,:))
+      !
+      ! compute Pr and Sc number (eq ??)
+      zPr =   13.8_wp
+      zSc = 2432.0_wp
+      !
+      ! compute gamma mole (eq ??)
+      zgmolet = 12.5_wp * zPr ** (2.0/3.0) - 6.0_wp
+      zgmoles = 12.5_wp * zSc ** (2.0/3.0) - 6.0_wp
+      !
+      ! compute gamma
+      DO ji = 2, jpi
+         DO jj = 2, jpj
+            ikt = mikt(ji,jj)
+
+            IF( zustar(ji,jj) == 0._wp ) THEN           ! only for kt = 1 I think
+               pgt = rn_gammat0
+               pgs = rn_gammas0
+            ELSE
+               ! compute Rc number (as done in zdfric.F90)
+!!gm better to do it like in the new zdfric.F90   i.e. avm weighted Ri computation
+               zcoef = 0.5_wp / e3w_n(ji,jj,ikt+1)
+               !                                            ! shear of horizontal velocity
+               zdku = zcoef * (  un(ji-1,jj  ,ikt  ) + un(ji,jj,ikt  )  &
+                  &             -un(ji-1,jj  ,ikt+1) - un(ji,jj,ikt+1)  )
+               zdkv = zcoef * (  vn(ji  ,jj-1,ikt  ) + vn(ji,jj,ikt  )  &
+                  &             -vn(ji  ,jj-1,ikt+1) - vn(ji,jj,ikt+1)  )
+               !                                            ! richardson number (minimum value set to zero)
+               zRc = MAX(rn2(ji,jj,ikt+1), 0._wp) / MAX( zdku*zdku + zdkv*zdkv, zeps )
+
+               ! compute bouyancy 
+               zts(jp_tem) = pttbl(ji,jj)
+               zts(jp_sal) = pstbl(ji,jj)
+               zdep        = gdepw_n(ji,jj,ikt)
+               !
+               CALL eos_rab( zts, zdep, zab )
+               !
+               ! compute length scale (Eq ??)
+               zbuofdep = grav * ( zab(jp_tem) * pqoce(ji,jj) - zab(jp_sal) * pqfwf(ji,jj) )
+               !
+               ! compute Monin Obukov Length
+               ! Maximum boundary layer depth (Eq ??)
+               zhmax = gdept_n(ji,jj,mbkt(ji,jj)) - gdepw_n(ji,jj,mikt(ji,jj)) -0.001_wp
+               !
+               ! Compute Monin obukhov length scale at the surface and Ekman depth: (Eq ??)
+               zmob   = zustar(ji,jj) ** 3 / (vkarmn * (zbuofdep + zeps))
+               zmols  = SIGN(1._wp, zmob) * MIN(ABS(zmob), zhmax) * tmask(ji,jj,ikt)
+               !
+               ! compute eta* (stability parameter) (Eq ??)
+               zetastar = 1._wp / ( SQRT(1._wp + MAX(zxsiN * zustar(ji,jj) / ( ABS(ff_f(ji,jj)) * zmols * zRc ), 0._wp)))
+               !
+               ! compute the sublayer thickness (Eq ??)
+               zhnu = 5 * znu / zustar(ji,jj)
+               !
+               ! compute gamma turb (Eq ??)
+               zgturb = 1._wp / vkarmn * LOG(zustar(ji,jj) * zxsiN * zetastar * zetastar / ( ABS(ff_f(ji,jj)) * zhnu )) &
+               &      + 1._wp / ( 2 * zxsiN * zetastar ) - 1._wp / vkarmn
+               !
+               ! compute gammats
+               pgt(ji,jj) = zustar(ji,jj) / (zgturb + zgmolet)
+               pgs(ji,jj) = zustar(ji,jj) / (zgturb + zgmoles)
+            END IF
+         END DO
+      END DO
+
+   END SUBROUTINE gammats_HJ99
+
+END MODULE isfcavgam
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/isfstp.F90
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/isfstp.F90	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/isfstp.F90	(revision 11889)
@@ -0,0 +1,283 @@
+MODULE isfstp
+   !!======================================================================
+   !!                       ***  MODULE  isfstp  ***
+   !! Surface module :  compute iceshelf load, melt and heat flux
+   !!======================================================================
+   !! History :  3.2  !  2011-02  (C.Harris  ) Original code isf cav
+   !!            X.X  !  2006-02  (C. Wang   ) Original code bg03
+   !!            3.4  !  2013-03  (P. Mathiot) Merging + parametrization
+   !!            4.1  !  2019-09  (P. Mathiot) Split param/explicit ice shelf and re-organisation
+   !!----------------------------------------------------------------------
+
+   !!----------------------------------------------------------------------
+   !!   isfstp       : compute iceshelf melt and heat flux
+   !!----------------------------------------------------------------------
+   !
+   USE isf            ! isf variables
+   USE isfload, ONLY: isf_load                      ! ice shelf load
+   USE isftbl , ONLY: isf_tbl_lvl                   ! ice shelf boundary layer
+   USE isfpar , ONLY: isf_par, isf_par_init         ! ice shelf parametrisation
+   USE isfcav , ONLY: isf_cav, isf_cav_init         ! ice shelf cavity
+   USE isfcpl , ONLY: isfcpl_rst_write, isfcpl_init ! isf variables
+
+   USE dom_oce, ONLY: ht_n, e3t_n, ln_isfcav, ln_linssh ! ocean space and time domain
+   USE domvvl,  ONLY: ln_vvl_zstar                      ! zstar logical
+   USE zdfdrg,  ONLY: r_Cdmin_top, r_ke0_top            ! vertical physics: top/bottom drag coef.
+   !
+   USE lib_mpp, ONLY: ctl_stop, ctl_nam
+   USE in_out_manager ! I/O manager
+   USE timing
+
+   IMPLICIT NONE
+
+   PRIVATE
+
+   PUBLIC   isf_stp, isf_init, isf_nam  ! routine called in sbcmod and divhor
+
+   !!----------------------------------------------------------------------
+   !! NEMO/OCE 4.0 , NEMO Consortium (2018)
+   !! $Id: isfstp.F90 11876 2019-11-08 11:26:42Z mathiot $
+   !! Software governed by the CeCILL license (see ./LICENSE)
+   !!----------------------------------------------------------------------
+CONTAINS
+ 
+  SUBROUTINE isf_stp( kt )
+      !!---------------------------------------------------------------------
+      !!                  ***  ROUTINE isf_stp  ***
+      !!
+      !! ** Purpose : compute total heat flux and total fwf due to ice shelf melt
+      !!
+      !! ** Method  : For each case (parametrisation or explicity cavity) :
+      !!              - define the before fields
+      !!              - compute top boundary layer properties
+      !!                (in case of parametrisation, this is the 
+      !!                 depth range model array used to compute mean far fields properties)
+      !!              - compute fluxes
+      !!              - write restart variables
+      !!
+      !!----------------------------------------------------------------------
+      INTEGER, INTENT(in) ::   kt   ! ocean time step
+      !!---------------------------------------------------------------------
+      !
+      IF( ln_timing )   CALL timing_start('isf')
+      !
+      IF ( ln_isfcav_mlt ) THEN
+         !
+         ! before time step 
+         IF ( kt /= nit000 ) THEN 
+            risf_cav_tsc_b (:,:,:) = risf_cav_tsc (:,:,:)
+            fwfisf_cav_b(:,:)      = fwfisf_cav(:,:)
+         END IF
+         !
+         ! compute misfkb, rhisf_tbl, rfrac (deepest level, thickness, fraction of deepest cell affected by tbl)
+         rhisf_tbl_cav(:,:) = rn_htbl * mskisf_cav(:,:)
+         CALL isf_tbl_lvl(ht_n, e3t_n, misfkt_cav, misfkb_cav, rhisf_tbl_cav, rfrac_tbl_cav)
+         !
+         ! compute ice shelf melt
+         CALL isf_cav( kt, risf_cav_tsc, fwfisf_cav)
+         !
+      END IF
+      ! 
+      IF ( ln_isfpar_mlt ) THEN
+         !
+         ! before time step 
+         IF ( kt /= nit000 ) THEN 
+            risf_par_tsc_b(:,:,:) = risf_par_tsc(:,:,:)
+            fwfisf_par_b  (:,:)   = fwfisf_par  (:,:)
+         END IF
+         !
+         ! compute misfkb, rhisf_tbl, rfrac (deepest level, thickness, fraction of deepest cell affected by tbl)
+         ! by simplicity, we assume the top level where param applied do not change with time
+         rhisf_tbl_par(:,:) = rhisf0_tbl_par(:,:)
+         CALL isf_tbl_lvl(ht_n, e3t_n, misfkt_par, misfkb_par, rhisf_tbl_par, rfrac_tbl_par)
+         !
+         ! compute ice shelf melt
+         CALL isf_par( kt, risf_par_tsc, fwfisf_par)
+         !
+      END IF
+      !
+      IF ( ln_isfcpl .AND. lrst_oce ) CALL isfcpl_rst_write(kt)
+      !
+      IF( ln_timing )   CALL timing_stop('isf')
+      !
+   END SUBROUTINE isf_stp
+
+   SUBROUTINE isf_init
+      !!---------------------------------------------------------------------
+      !!                  ***  ROUTINE isfstp_init  ***
+      !!
+      !! ** Purpose :   Initialisation of the ice shelf public variables
+      !!
+      !! ** Method  :   Read the namisf namelist, check option compatibility and set derived parameters
+      !!
+      !! ** Action  : - read namisf parameters
+      !!              - allocate memory
+      !!              - output print
+      !!              - ckeck option compatibility
+      !!              - call cav/param/isfcpl init routine
+      !!----------------------------------------------------------------------
+      !
+      ! constrain: l_isfoasis need to be known
+      !
+      ! Read namelist
+      CALL isf_nam()
+      !
+      ! Allocate public array
+      CALL isf_alloc()
+      !
+      ! check option compatibility
+      CALL isf_ctl()
+      !
+      ! compute ice shelf load
+      IF ( ln_isfcav ) CALL isf_load( risfload )
+      !
+      ! terminate routine now if no ice shelf melt formulation specify
+      IF ( ln_isf ) THEN
+         !
+         !---------------------------------------------------------------------------------------------------------------------
+         ! initialisation melt in the cavity
+         IF ( ln_isfcav_mlt ) CALL isf_cav_init()
+         !
+         !---------------------------------------------------------------------------------------------------------------------
+         ! initialisation parametrised melt
+         IF ( ln_isfpar_mlt ) CALL isf_par_init()
+         !
+         !---------------------------------------------------------------------------------------------------------------------
+         ! initialisation ice sheet coupling
+         IF( ln_isfcpl ) CALL isfcpl_init()
+         !
+      END IF
+         
+  END SUBROUTINE isf_init
+
+  SUBROUTINE isf_ctl()
+      !!---------------------------------------------------------------------
+      !!                  ***  ROUTINE isf_ctl  ***
+      !!
+      !! ** Purpose :   output print and option compatibility check
+      !!
+      !!----------------------------------------------------------------------
+      IF (lwp) THEN
+         WRITE(numout,*)
+         WRITE(numout,*) 'isf_init : ice shelf initialisation'
+         WRITE(numout,*) '~~~~~~~~~~~~'
+         WRITE(numout,*) '   Namelist namisf :'
+         !
+         WRITE(numout,*) '   ice shelf cavity (open or parametrised)  ln_isf = ', ln_isf
+         WRITE(numout,*)
+         !
+         IF ( ln_isf ) THEN
+            WRITE(numout,*) '      Add debug print in isf module           ln_isfdebug     = ', ln_isfdebug
+            WRITE(numout,*)
+            WRITE(numout,*) '      melt inside the cavity                  ln_isfcav_mlt   = ', ln_isfcav_mlt
+            IF ( ln_isfcav_mlt) THEN
+               WRITE(numout,*) '         melt formulation                        cn_isfcav_mlt   = ', TRIM(cn_isfcav_mlt)
+               WRITE(numout,*) '         thickness of the top boundary layer     rn_htbl     = ', rn_htbl
+               WRITE(numout,*) '         gamma formulation                       cn_gammablk = ', TRIM(cn_gammablk) 
+               IF ( TRIM(cn_gammablk) .NE. 'spe' ) THEN 
+                  WRITE(numout,*) '         gammat coefficient                       rn_gammat0  = ', rn_gammat0  
+                  WRITE(numout,*) '         gammas coefficient                       rn_gammas0  = ', rn_gammas0  
+                  WRITE(numout,*) '         top background ke used (from namdrg_top) rn_vtide**2 = ', rn_vtide**2
+                  WRITE(numout,*) '         top drag coef.    used (from namdrg_top) rn_Cd0      = ', r_Cdmin_top
+               END IF
+            END IF
+            WRITE(numout,*) ''
+            !
+            WRITE(numout,*) '      ice shelf melt parametrisation          ln_isfpar_mlt   = ', ln_isfpar_mlt
+            IF ( ln_isfpar_mlt ) THEN
+               WRITE(numout,*) '         isf parametrisation formulation         cn_isfpar_mlt   = ', TRIM(cn_isfpar_mlt)
+            END IF
+            WRITE(numout,*) ''
+            !
+            WRITE(numout,*) '      Coupling to an ice sheet model          ln_isfcpl       = ', ln_isfcpl
+            IF ( ln_isfcpl ) THEN
+               WRITE(numout,*) '         conservation activated ln_isfcpl_cons     = ', ln_isfcpl_cons
+               WRITE(numout,*) '         number of call of the extrapolation loop  = ', nn_drown
+            ENDIF
+            WRITE(numout,*) ''
+            !
+         ELSE
+            !
+            IF ( ln_isfcav ) THEN
+               WRITE(numout,*) ''
+               WRITE(numout,*) '   W A R N I N G: ice shelf cavities are open BUT no melt will be computed or read from file !'
+               WRITE(numout,*) ''
+            END IF
+            !
+         END IF
+
+         IF (ln_isfcav) WRITE(numout,*) '      Ice shelf load method                   cn_isfload        = ', TRIM(cn_isfload)
+         WRITE(numout,*) ''
+
+      END IF
+      !
+
+      !---------------------------------------------------------------------------------------------------------------------
+      ! sanity check  ! issue ln_isfcav not yet known as well as l_isfoasis  => move this call in isf_stp ?
+      ! melt in the cavity without cavity
+      IF ( ln_isfcav_mlt .AND. (.NOT. ln_isfcav) ) &
+          &   CALL ctl_stop('ice shelf melt in the cavity activated (ln_isfcav_mlt) but no cavity detected in domcfg (ln_isfcav), STOP' )
+      !
+      ! ice sheet coupling without cavity
+      IF ( ln_isfcpl .AND. (.NOT. ln_isfcav) ) &
+         &   CALL ctl_stop('coupling with an ice sheet model detected (ln_isfcpl) but no cavity detected in domcfg (ln_isfcav), STOP' )
+      !
+      IF ( ln_isfcpl .AND. ln_isfcpl_cons .AND. ln_linssh ) &
+         &   CALL ctl_stop( 'The coupling between NEMO and an ice sheet model with the conservation option does not work with the linssh option' )
+      !
+      IF ( l_isfoasis .AND. .NOT. ln_isf ) CALL ctl_stop( ' OASIS send ice shelf fluxes to NEMO but NEMO does not have the isf module activated' )
+      !
+      IF ( l_isfoasis .AND. ln_isf ) THEN
+         !
+         CALL ctl_stop( ' ln_ctl and ice shelf not tested' )
+         !
+         ! NEMO coupled to ATMO model with isf cavity need oasis method for melt computation 
+         IF ( ln_isfcav_mlt .AND. TRIM(cn_isfcav_mlt) /= 'oasis' ) CALL ctl_stop( 'cn_isfcav_mlt = oasis is the only option availble if fwf send by oasis' )
+         IF ( ln_isfpar_mlt .AND. TRIM(cn_isfpar_mlt) /= 'oasis' ) CALL ctl_stop( 'cn_isfpar_mlt = oasis is the only option availble if fwf send by oasis' )
+         !
+         ! oasis melt computation not tested (coded but not tested)
+         IF ( ln_isfcav_mlt .OR. ln_isfpar_mlt ) THEN
+            IF ( TRIM(cn_isfcav_mlt) == 'oasis' ) CALL ctl_stop( 'cn_isfcav_mlt = oasis not tested' )
+            IF ( TRIM(cn_isfpar_mlt) == 'oasis' ) CALL ctl_stop( 'cn_isfpar_mlt = oasis not tested' )
+         END IF
+         !
+         ! oasis melt computation with cavity open and cavity parametrised (not coded)
+         IF ( ln_isfcav_mlt .AND. ln_isfpar_mlt ) THEN
+            IF ( TRIM(cn_isfpar_mlt) == 'oasis' .AND. TRIM(cn_isfcav_mlt) == 'oasis' ) CALL ctl_stop( 'cn_isfpar_mlt = oasis and cn_isfcav_mlt = oasis not coded' )
+         END IF
+         !
+         ! compatibility ice shelf and vvl
+         IF( .NOT. ln_vvl_zstar .AND. ln_isf ) CALL ctl_stop( 'Only vvl_zstar has been tested with ice shelf cavity' )
+         !
+      END IF
+   END SUBROUTINE isf_ctl
+   !
+   SUBROUTINE isf_nam
+      !!---------------------------------------------------------------------
+      !!                  ***  ROUTINE isf_nam  ***
+      !!
+      !! ** Purpose :   Read ice shelf namelist cfg and ref
+      !!
+      !!----------------------------------------------------------------------
+      INTEGER               :: ios                  ! Local integer output status for namelist read
+      !!----------------------------------------------------------------------
+      NAMELIST/namisf/ ln_isf       ,                                                                               & 
+         &             ln_isfcav_mlt, cn_isfcav_mlt, cn_gammablk, rn_gammat0, rn_gammas0, rn_htbl, sn_isfcav_fwf,   &
+         &             ln_isfpar_mlt, cn_isfpar_mlt, sn_isfpar_fwf, sn_isfpar_zmin, sn_isfpar_zmax, sn_isfpar_Leff, &
+         &             ln_isfcpl    , nn_drown, ln_isfcpl_cons, ln_isfdebug, rn_vtide,                              &
+         &             cn_isfload   , cn_isfdir
+      !!----------------------------------------------------------------------
+      !
+      REWIND( numnam_ref )              ! Namelist namsbc_rnf in reference namelist : Runoffs 
+      READ  ( numnam_ref, namisf, IOSTAT = ios, ERR = 901)
+901   IF( ios /= 0 )   CALL ctl_nam ( ios , 'namisf in reference namelist', lwp )
+      !
+      REWIND( numnam_cfg )              ! Namelist namsbc_rnf in configuration namelist : Runoffs
+      READ  ( numnam_cfg, namisf, IOSTAT = ios, ERR = 902 )
+902   IF( ios >  0 )   CALL ctl_nam ( ios , 'namisf in configuration namelist', lwp )
+      IF(lwm) WRITE ( numond, namisf )
+
+   END SUBROUTINE isf_nam
+   !!
+   !!======================================================================
+END MODULE isfstp
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/istate.F90
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/istate.F90	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/istate.F90	(revision 11889)
@@ -0,0 +1,182 @@
+MODULE istate
+   !!======================================================================
+   !!                     ***  MODULE  istate  ***
+   !! Ocean state   :  initial state setting
+   !!=====================================================================
+   !! History :  OPA  !  1989-12  (P. Andrich)  Original code
+   !!            5.0  !  1991-11  (G. Madec)  rewritting
+   !!            6.0  !  1996-01  (G. Madec)  terrain following coordinates
+   !!            8.0  !  2001-09  (M. Levy, M. Ben Jelloul)  istate_eel
+   !!            8.0  !  2001-09  (M. Levy, M. Ben Jelloul)  istate_uvg
+   !!   NEMO     1.0  !  2003-08  (G. Madec, C. Talandier)  F90: Free form, modules + EEL R5
+   !!             -   !  2004-05  (A. Koch-Larrouy)  istate_gyre 
+   !!            2.0  !  2006-07  (S. Masson)  distributed restart using iom
+   !!            3.3  !  2010-10  (C. Ethe) merge TRC-TRA
+   !!            3.4  !  2011-04  (G. Madec) Merge of dtatem and dtasal & suppression of tb,tn/sb,sn 
+   !!            3.7  !  2016-04  (S. Flavoni) introduce user defined initial state 
+   !!----------------------------------------------------------------------
+
+   !!----------------------------------------------------------------------
+   !!   istate_init   : initial state setting
+   !!   istate_uvg    : initial velocity in geostropic balance
+   !!----------------------------------------------------------------------
+   USE oce            ! ocean dynamics and active tracers 
+   USE dom_oce        ! ocean space and time domain 
+   USE daymod         ! calendar
+   USE divhor         ! horizontal divergence            (div_hor routine)
+   USE dtatsd         ! data temperature and salinity   (dta_tsd routine)
+   USE dtauvd         ! data: U & V current             (dta_uvd routine)
+   USE domvvl          ! varying vertical mesh
+   USE wet_dry         ! wetting and drying (needed for wad_istate)
+   USE usrdef_istate   ! User defined initial state
+   !
+   USE in_out_manager  ! I/O manager
+   USE iom             ! I/O library
+   USE lib_mpp         ! MPP library
+   USE restart         ! restart
+
+   IMPLICIT NONE
+   PRIVATE
+
+   PUBLIC   istate_init   ! routine called by step.F90
+
+   !! * Substitutions
+#  include "vectopt_loop_substitute.h90"
+   !!----------------------------------------------------------------------
+   !! NEMO/OCE 4.0 , NEMO Consortium (2018)
+   !! $Id: istate.F90 11423 2019-08-08 14:02:49Z mathiot $
+   !! Software governed by the CeCILL license (see ./LICENSE)
+   !!----------------------------------------------------------------------
+CONTAINS
+
+   SUBROUTINE istate_init
+      !!----------------------------------------------------------------------
+      !!                   ***  ROUTINE istate_init  ***
+      !! 
+      !! ** Purpose :   Initialization of the dynamics and tracer fields.
+      !!----------------------------------------------------------------------
+      INTEGER ::   ji, jj, jk   ! dummy loop indices
+!!gm see comment further down
+      REAL(wp), ALLOCATABLE, DIMENSION(:,:,:,:) ::   zuvd    ! U & V data workspace
+!!gm end
+      !!----------------------------------------------------------------------
+      !
+      IF(lwp) WRITE(numout,*)
+      IF(lwp) WRITE(numout,*) 'istate_init : Initialization of the dynamics and tracers'
+      IF(lwp) WRITE(numout,*) '~~~~~~~~~~~'
+
+!!gm  Why not include in the first call of dta_tsd ?  
+!!gm  probably associated with the use of internal damping...
+                     CALL dta_tsd_init        ! Initialisation of T & S input data
+!!gm to be moved in usrdef of C1D case
+!      IF( lk_c1d )   CALL dta_uvd_init        ! Initialization of U & V input data
+!!gm
+
+      rhd  (:,:,:  ) = 0._wp   ;   rhop (:,:,:  ) = 0._wp      ! set one for all to 0 at level jpk
+      rn2b (:,:,:  ) = 0._wp   ;   rn2  (:,:,:  ) = 0._wp      ! set one for all to 0 at levels 1 and jpk
+      tsa  (:,:,:,:) = 0._wp                                   ! set one for all to 0 at level jpk
+      rab_b(:,:,:,:) = 0._wp   ;   rab_n(:,:,:,:) = 0._wp      ! set one for all to 0 at level jpk
+#if defined key_agrif
+      ua   (:,:,:  ) = 0._wp   ! used in agrif_oce_sponge at initialization
+      va   (:,:,:  ) = 0._wp   ! used in agrif_oce_sponge at initialization    
+#endif
+
+      IF( ln_rstart ) THEN                    ! Restart from a file
+         !                                    ! -------------------
+         CALL rst_read                        ! Read the restart file
+         CALL day_init                        ! model calendar (using both namelist and restart infos)
+         !
+      ELSE                                    ! Start from rest
+         !                                    ! ---------------
+         numror = 0                           ! define numror = 0 -> no restart file to read
+         neuler = 0                           ! Set time-step indicator at nit000 (euler forward)
+         CALL day_init                        ! model calendar (using both namelist and restart infos)
+         !                                    ! Initialization of ocean to zero
+         !
+         IF( ln_tsd_init ) THEN               
+            CALL dta_tsd( nit000, 'ini', tsb )       ! read 3D T and S data at nit000
+            !
+            sshb(:,:)   = 0._wp               ! set the ocean at rest
+            IF( ll_wd ) THEN
+               sshb(:,:) =  -ssh_ref  ! Added in 30 here for bathy that adds 30 as Iterative test CEOD 
+               !
+               ! Apply minimum wetdepth criterion
+               !
+               DO jj = 1,jpj
+                  DO ji = 1,jpi
+                     IF( ht_0(ji,jj) + sshb(ji,jj)  < rn_wdmin1 ) THEN
+                        sshb(ji,jj) = tmask(ji,jj,1)*( rn_wdmin1 - (ht_0(ji,jj)) )
+                     ENDIF
+                  END DO
+               END DO 
+            ENDIF 
+            ub  (:,:,:) = 0._wp
+            vb  (:,:,:) = 0._wp  
+            !
+         ELSE                                 ! user defined initial T and S
+            CALL usr_def_istate( gdept_b, tmask, tsb, ub, vb, sshb  )         
+         ENDIF
+         tsn  (:,:,:,:) = tsb (:,:,:,:)       ! set now values from to before ones
+         sshn (:,:)     = sshb(:,:)   
+         un   (:,:,:)   = ub  (:,:,:)
+         vn   (:,:,:)   = vb  (:,:,:)
+         hdivn(:,:,jpk) = 0._wp               ! bottom divergence set one for 0 to zero at jpk level
+         CALL div_hor( 0 )                    ! compute interior hdivn value  
+!!gm                                    hdivn(:,:,:) = 0._wp
+
+!!gm POTENTIAL BUG :
+!!gm  ISSUE :  if sshb /= 0  then, in non linear free surface, the e3._n, e3._b should be recomputed
+!!             as well as gdept and gdepw....   !!!!! 
+!!      ===>>>>   probably a call to domvvl initialisation here....
+
+
+         !
+!!gm to be moved in usrdef of C1D case
+!         IF ( ln_uvd_init .AND. lk_c1d ) THEN ! read 3D U and V data at nit000
+!            ALLOCATE( zuvd(jpi,jpj,jpk,2) )
+!            CALL dta_uvd( nit000, zuvd )
+!            ub(:,:,:) = zuvd(:,:,:,1) ;  un(:,:,:) = ub(:,:,:)
+!            vb(:,:,:) = zuvd(:,:,:,2) ;  vn(:,:,:) = vb(:,:,:)
+!            DEALLOCATE( zuvd )
+!         ENDIF
+         !
+!!gm This is to be changed !!!!
+!         ! - ML - sshn could be modified by istate_eel, so that initialization of e3t_b is done here
+!         IF( .NOT.ln_linssh ) THEN
+!            DO jk = 1, jpk
+!               e3t_b(:,:,jk) = e3t_n(:,:,jk)
+!            END DO
+!         ENDIF
+!!gm 
+         ! 
+      ENDIF 
+      ! 
+      ! Initialize "now" and "before" barotropic velocities:
+      ! Do it whatever the free surface method, these arrays being eventually used
+      !
+      un_b(:,:) = 0._wp   ;   vn_b(:,:) = 0._wp
+      ub_b(:,:) = 0._wp   ;   vb_b(:,:) = 0._wp
+      !
+!!gm  the use of umsak & vmask is not necessary below as un, vn, ub, vb are always masked
+      DO jk = 1, jpkm1
+         DO jj = 1, jpj
+            DO ji = 1, jpi
+               un_b(ji,jj) = un_b(ji,jj) + e3u_n(ji,jj,jk) * un(ji,jj,jk) * umask(ji,jj,jk)
+               vn_b(ji,jj) = vn_b(ji,jj) + e3v_n(ji,jj,jk) * vn(ji,jj,jk) * vmask(ji,jj,jk)
+               !
+               ub_b(ji,jj) = ub_b(ji,jj) + e3u_b(ji,jj,jk) * ub(ji,jj,jk) * umask(ji,jj,jk)
+               vb_b(ji,jj) = vb_b(ji,jj) + e3v_b(ji,jj,jk) * vb(ji,jj,jk) * vmask(ji,jj,jk)
+            END DO
+         END DO
+      END DO
+      !
+      un_b(:,:) = un_b(:,:) * r1_hu_n(:,:)
+      vn_b(:,:) = vn_b(:,:) * r1_hv_n(:,:)
+      !
+      ub_b(:,:) = ub_b(:,:) * r1_hu_b(:,:)
+      vb_b(:,:) = vb_b(:,:) * r1_hv_b(:,:)
+      !
+   END SUBROUTINE istate_init
+
+   !!======================================================================
+END MODULE istate
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/sbcfwb.F90
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/sbcfwb.F90	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/sbcfwb.F90	(revision 11889)
@@ -0,0 +1,215 @@
+MODULE sbcfwb
+   !!======================================================================
+   !!                       ***  MODULE  sbcfwb  ***
+   !! Ocean fluxes   : domain averaged freshwater budget
+   !!======================================================================
+   !! History :  OPA  ! 2001-02  (E. Durand)  Original code
+   !!   NEMO     1.0  ! 2002-06  (G. Madec)  F90: Free form and module
+   !!            3.0  ! 2006-08  (G. Madec)  Surface module
+   !!            3.2  ! 2009-07  (C. Talandier) emp mean s spread over erp area 
+   !!            3.6  ! 2014-11  (P. Mathiot  ) add ice shelf melting
+   !!----------------------------------------------------------------------
+
+   !!----------------------------------------------------------------------
+   !!   sbc_fwb       : freshwater budget for global ocean configurations (free surface & forced mode)
+   !!----------------------------------------------------------------------
+   USE oce            ! ocean dynamics and tracers
+   USE dom_oce        ! ocean space and time domain
+   USE sbc_oce        ! surface ocean boundary condition
+   USE sbc_ice , ONLY : snwice_mass, snwice_mass_b, snwice_fmass
+   USE phycst         ! physical constants
+   USE sbcrnf         ! ocean runoffs
+   USE isf            ! ice shelf melting contribution
+   USE sbcssr         ! Sea-Surface damping terms
+   USE tradmp         !
+   !
+   USE in_out_manager ! I/O manager
+   USE lib_mpp        ! distribued memory computing library
+   USE timing         ! Timing
+   USE lbclnk         ! ocean lateral boundary conditions
+   USE lib_fortran    ! 
+
+   IMPLICIT NONE
+   PRIVATE
+
+   PUBLIC   sbc_fwb    ! routine called by step
+
+   REAL(wp) ::   a_fwb_b   ! annual domain averaged freshwater budget
+   REAL(wp) ::   a_fwb     ! for 2 year before (_b) and before year.
+   REAL(wp) ::   fwfold    ! fwfold to be suppressed
+   REAL(wp) ::   area      ! global mean ocean surface (interior domain)
+
+   !! * Substitutions
+#  include "vectopt_loop_substitute.h90"
+   !!----------------------------------------------------------------------
+   !! NEMO/OCE 4.0 , NEMO Consortium (2018)
+   !! $Id: sbcfwb.F90 11395 2019-08-02 14:19:00Z mathiot $
+   !! Software governed by the CeCILL license (see ./LICENSE)
+   !!----------------------------------------------------------------------
+CONTAINS
+
+   SUBROUTINE sbc_fwb( kt, kn_fwb, kn_fsbc )
+      !!---------------------------------------------------------------------
+      !!                  ***  ROUTINE sbc_fwb  ***
+      !!
+      !! ** Purpose :   Control the mean sea surface drift
+      !!
+      !! ** Method  :   several ways  depending on kn_fwb
+      !!                =0 no control 
+      !!                =1 global mean of emp set to zero at each nn_fsbc time step
+      !!                =2 annual global mean corrected from previous year
+      !!                =3 global mean of emp set to zero at each nn_fsbc time step
+      !!                   & spread out over erp area depending its sign
+      !! Note: if sea ice is embedded it is taken into account when computing the budget 
+      !!----------------------------------------------------------------------
+      INTEGER, INTENT( in ) ::   kt       ! ocean time-step index
+      INTEGER, INTENT( in ) ::   kn_fsbc  ! 
+      INTEGER, INTENT( in ) ::   kn_fwb   ! ocean time-step index
+      !
+      INTEGER  ::   inum, ikty, iyear     ! local integers
+      REAL(wp) ::   z_fwf, z_fwf_nsrf, zsum_fwf, zsum_erp                ! local scalars
+      REAL(wp) ::   zsurf_neg, zsurf_pos, zsurf_tospread, zcoef          !   -      -
+      REAL(wp), ALLOCATABLE, DIMENSION(:,:) ::   ztmsk_neg, ztmsk_pos, z_wgt ! 2D workspaces
+      REAL(wp), ALLOCATABLE, DIMENSION(:,:) ::   ztmsk_tospread, zerp_cor    !   -      -
+      REAL(wp)   ,DIMENSION(1) ::   z_fwfprv  
+      COMPLEX(wp),DIMENSION(1) ::   y_fwfnow  
+      !!----------------------------------------------------------------------
+      !
+      IF( kt == nit000 ) THEN
+         IF(lwp) THEN
+            WRITE(numout,*)
+            WRITE(numout,*) 'sbc_fwb : FreshWater Budget correction'
+            WRITE(numout,*) '~~~~~~~'
+            IF( kn_fwb == 1 )   WRITE(numout,*) '          instantaneously set to zero'
+            IF( kn_fwb == 2 )   WRITE(numout,*) '          adjusted from previous year budget'
+            IF( kn_fwb == 3 )   WRITE(numout,*) '          fwf set to zero and spread out over erp area'
+         ENDIF
+         !
+         IF( kn_fwb == 3 .AND. nn_sssr /= 2 )   CALL ctl_stop( 'sbc_fwb: nn_fwb = 3 requires nn_sssr = 2, we stop ' )
+         IF( kn_fwb == 3 .AND. ln_isfcav    )   CALL ctl_stop( 'sbc_fwb: nn_fwb = 3 with ln_isfcav = .TRUE. not working, we stop ' )
+         !
+         area = glob_sum( 'sbcfwb', e1e2t(:,:) * tmask(:,:,1))           ! interior global domain surface
+         ! isf cavities are excluded because it can feedback to the melting with generation of inhibition of plumes
+         ! and in case of no melt, it can generate HSSW.
+         !
+#if ! defined key_si3 && ! defined key_cice
+         snwice_mass_b(:,:) = 0.e0               ! no sea-ice model is being used : no snow+ice mass
+         snwice_mass  (:,:) = 0.e0
+#endif
+         !
+      ENDIF
+
+      SELECT CASE ( kn_fwb )
+      !
+      CASE ( 1 )                             !==  global mean fwf set to zero  ==!
+         !
+         IF( MOD( kt-1, kn_fsbc ) == 0 ) THEN
+            z_fwf = glob_sum( 'sbcfwb',  e1e2t(:,:) * ( emp(:,:) - rnf(:,:) + fwfisf_cav(:,:) + fwfisf_par(:,:) - snwice_fmass(:,:) ) )
+            z_fwf = z_fwf / area
+            zcoef = z_fwf * rcp
+            emp(:,:) = emp(:,:) - z_fwf              * tmask(:,:,1)
+            qns(:,:) = qns(:,:) + zcoef * sst_m(:,:) * tmask(:,:,1) ! account for change to the heat budget due to fw correction
+            sfx(:,:) = sfx(:,:) + z_fwf * sss_m(:,:) * tmask(:,:,1)
+         ENDIF
+         !
+      CASE ( 2 )                             !==  fwf budget adjusted from the previous year  ==!
+         !
+         IF( kt == nit000 ) THEN                      ! initialisation
+            !                                         ! Read the corrective factor on precipitations (fwfold)
+            CALL ctl_opn( inum, 'EMPave_old.dat', 'OLD', 'FORMATTED', 'SEQUENTIAL', -1, numout, .FALSE. )
+            READ ( inum, "(24X,I8,2ES24.16)" ) iyear, a_fwb_b, a_fwb
+            CLOSE( inum )
+            fwfold = a_fwb                            ! current year freshwater budget correction
+            !                                         ! estimate from the previous year budget
+            IF(lwp)WRITE(numout,*)
+            IF(lwp)WRITE(numout,*)'sbc_fwb : year = ',iyear  , ' freshwater budget correction = ', fwfold
+            IF(lwp)WRITE(numout,*)'          year = ',iyear-1, ' freshwater budget read       = ', a_fwb
+            IF(lwp)WRITE(numout,*)'          year = ',iyear-2, ' freshwater budget read       = ', a_fwb_b
+         ENDIF   
+         !                                         ! Update fwfold if new year start
+         ikty = 365 * 86400 / rdt                  !!bug  use of 365 days leap year or 360d year !!!!!!!
+         IF( MOD( kt, ikty ) == 0 ) THEN
+            a_fwb_b = a_fwb                           ! mean sea level taking into account the ice+snow
+                                                      ! sum over the global domain
+            a_fwb   = glob_sum( 'sbcfwb', e1e2t(:,:) * ( sshn(:,:) + snwice_mass(:,:) * r1_rau0 ) )
+            a_fwb   = a_fwb * 1.e+3 / ( area * rday * 365. )     ! convert in Kg/m3/s = mm/s
+!!gm        !                                                      !!bug 365d year 
+            fwfold =  a_fwb                           ! current year freshwater budget correction
+            !                                         ! estimate from the previous year budget
+         ENDIF
+         ! 
+         IF( MOD( kt-1, kn_fsbc ) == 0 ) THEN         ! correct the freshwater fluxes
+            zcoef = fwfold * rcp
+            emp(:,:) = emp(:,:) + fwfold             * tmask(:,:,1)
+            qns(:,:) = qns(:,:) - zcoef * sst_m(:,:) * tmask(:,:,1) ! account for change to the heat budget due to fw correction
+         ENDIF
+         !
+         IF( kt == nitend .AND. lwm ) THEN            ! save fwfold value in a file (only one required)
+            CALL ctl_opn( inum, 'EMPave.dat', 'REPLACE', 'FORMATTED', 'SEQUENTIAL', -1, numout, .FALSE., narea )
+            WRITE( inum, "(24X,I8,2ES24.16)" ) nyear, a_fwb_b, a_fwb
+            CLOSE( inum )
+         ENDIF
+         !
+      CASE ( 3 )                             !==  global fwf set to zero and spread out over erp area  ==!
+         !
+         ALLOCATE( ztmsk_neg(jpi,jpj) , ztmsk_pos(jpi,jpj) , ztmsk_tospread(jpi,jpj) , z_wgt(jpi,jpj) , zerp_cor(jpi,jpj) )
+         !
+         IF( MOD( kt-1, kn_fsbc ) == 0 ) THEN
+            ztmsk_pos(:,:) = tmask_i(:,:)                      ! Select <0 and >0 area of erp
+            WHERE( erp < 0._wp )   ztmsk_pos = 0._wp
+            ztmsk_neg(:,:) = tmask_i(:,:) - ztmsk_pos(:,:)
+            !                                                  ! fwf global mean (excluding ocean to ice/snow exchanges) 
+            z_fwf     = glob_sum( 'sbcfwb', e1e2t(:,:) * ( emp(:,:) - rnf(:,:) + fwfisf_cav(:,:) + fwfisf_par(:,:) - snwice_fmass(:,:) ) ) / area
+            !            
+            IF( z_fwf < 0._wp ) THEN         ! spread out over >0 erp area to increase evaporation
+               zsurf_pos = glob_sum( 'sbcfwb', e1e2t(:,:)*ztmsk_pos(:,:) )
+               zsurf_tospread      = zsurf_pos
+               ztmsk_tospread(:,:) = ztmsk_pos(:,:)
+            ELSE                             ! spread out over <0 erp area to increase precipitation
+               zsurf_neg = glob_sum( 'sbcfwb', e1e2t(:,:)*ztmsk_neg(:,:) )  ! Area filled by <0 and >0 erp 
+               zsurf_tospread      = zsurf_neg
+               ztmsk_tospread(:,:) = ztmsk_neg(:,:)
+            ENDIF
+            !
+            zsum_fwf   = glob_sum( 'sbcfwb', e1e2t(:,:) * z_fwf )         ! fwf global mean over <0 or >0 erp area
+!!gm :  zsum_fwf   = z_fwf * area   ???  it is right?  I think so....
+            z_fwf_nsrf =  zsum_fwf / ( zsurf_tospread + rsmall )
+            !                                                  ! weight to respect erp field 2D structure 
+            zsum_erp   = glob_sum( 'sbcfwb', ztmsk_tospread(:,:) * erp(:,:) * e1e2t(:,:) )
+            z_wgt(:,:) = ztmsk_tospread(:,:) * erp(:,:) / ( zsum_erp + rsmall )
+            !                                                  ! final correction term to apply
+            zerp_cor(:,:) = -1. * z_fwf_nsrf * zsurf_tospread * z_wgt(:,:)
+            !
+!!gm   ===>>>>  lbc_lnk should be useless as all the computation is done over the whole domain !
+            CALL lbc_lnk( 'sbcfwb', zerp_cor, 'T', 1. )
+            !
+            emp(:,:) = emp(:,:) + zerp_cor(:,:)
+            qns(:,:) = qns(:,:) - zerp_cor(:,:) * rcp * sst_m(:,:)  ! account for change to the heat budget due to fw correction
+            erp(:,:) = erp(:,:) + zerp_cor(:,:)
+            !
+            IF( nprint == 1 .AND. lwp ) THEN                   ! control print
+               IF( z_fwf < 0._wp ) THEN
+                  WRITE(numout,*)'   z_fwf < 0'
+                  WRITE(numout,*)'   SUM(erp+)     = ', SUM( ztmsk_tospread(:,:)*erp(:,:)*e1e2t(:,:) )*1.e-9,' Sv'
+               ELSE
+                  WRITE(numout,*)'   z_fwf >= 0'
+                  WRITE(numout,*)'   SUM(erp-)     = ', SUM( ztmsk_tospread(:,:)*erp(:,:)*e1e2t(:,:) )*1.e-9,' Sv'
+               ENDIF
+               WRITE(numout,*)'   SUM(empG)     = ', SUM( z_fwf*e1e2t(:,:) )*1.e-9,' Sv'
+               WRITE(numout,*)'   z_fwf         = ', z_fwf      ,' Kg/m2/s'
+               WRITE(numout,*)'   z_fwf_nsrf    = ', z_fwf_nsrf ,' Kg/m2/s'
+               WRITE(numout,*)'   MIN(zerp_cor) = ', MINVAL(zerp_cor) 
+               WRITE(numout,*)'   MAX(zerp_cor) = ', MAXVAL(zerp_cor) 
+            ENDIF
+         ENDIF
+         DEALLOCATE( ztmsk_neg , ztmsk_pos , ztmsk_tospread , z_wgt , zerp_cor )
+         !
+      CASE DEFAULT                           !==  you should never be there  ==!
+         CALL ctl_stop( 'sbc_fwb : wrong nn_fwb value for the FreshWater Budget correction, choose either 1, 2 or 3' )
+         !
+      END SELECT
+      !
+   END SUBROUTINE sbc_fwb
+
+   !!======================================================================
+END MODULE sbcfwb
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/tradmp.F90
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/tradmp.F90	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/tradmp.F90	(revision 11889)
@@ -0,0 +1,228 @@
+MODULE tradmp
+   !!======================================================================
+   !!                       ***  MODULE  tradmp  ***
+   !! Ocean physics: internal restoring trend on active tracers (T and S)
+   !!======================================================================
+   !! History :  OPA  ! 1991-03  (O. Marti, G. Madec)  Original code
+   !!                 ! 1992-06  (M. Imbard)  doctor norme
+   !!                 ! 1998-07  (M. Imbard, G. Madec) ORCA version
+   !!            7.0  ! 2001-02  (M. Imbard)  add distance to coast, Original code
+   !!            8.1  ! 2001-02  (G. Madec, E. Durand)  cleaning
+   !!  NEMO      1.0  ! 2002-08  (G. Madec, E. Durand)  free form + modules
+   !!            3.2  ! 2009-08  (G. Madec, C. Talandier)  DOCTOR norm for namelist parameter
+   !!            3.3  ! 2010-06  (C. Ethe, G. Madec) merge TRA-TRC 
+   !!            3.4  ! 2011-04  (G. Madec, C. Ethe) Merge of dtatem and dtasal + suppression of CPP keys
+   !!            3.6  ! 2015-06  (T. Graham)  read restoring coefficient in a file
+   !!            3.7  ! 2015-10  (G. Madec)  remove useless trends arrays
+   !!----------------------------------------------------------------------
+
+   !!----------------------------------------------------------------------
+   !!   tra_dmp_alloc : allocate tradmp arrays
+   !!   tra_dmp       : update the tracer trend with the internal damping
+   !!   tra_dmp_init  : initialization, namlist read, parameters control
+   !!----------------------------------------------------------------------
+   USE oce            ! ocean: variables
+   USE dom_oce        ! ocean: domain variables
+   USE c1d            ! 1D vertical configuration
+   USE trd_oce        ! trends: ocean variables
+   USE trdtra         ! trends manager: tracers 
+   USE zdf_oce        ! ocean: vertical physics
+   USE phycst         ! physical constants
+   USE dtatsd         ! data: temperature & salinity
+   USE zdfmxl         ! vertical physics: mixed layer depth
+   !
+   USE in_out_manager ! I/O manager
+   USE iom            ! XIOS
+   USE lib_mpp        ! MPP library
+   USE prtctl         ! Print control
+   USE timing         ! Timing
+
+   IMPLICIT NONE
+   PRIVATE
+
+   PUBLIC   tra_dmp        ! called by step.F90
+   PUBLIC   tra_dmp_init   ! called by nemogcm.F90
+
+   !                                           !!* Namelist namtra_dmp : T & S newtonian damping *
+   LOGICAL            , PUBLIC ::   ln_tradmp   !: internal damping flag
+   INTEGER            , PUBLIC ::   nn_zdmp     !: = 0/1/2 flag for damping in the mixed layer
+   CHARACTER(LEN=200) , PUBLIC ::   cn_resto    !: name of netcdf file containing restoration coefficient field
+   !
+   REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) ::   resto    !: restoring coeff. on T and S (s-1)
+
+   !! * Substitutions
+#  include "vectopt_loop_substitute.h90"
+   !!----------------------------------------------------------------------
+   !! NEMO/OCE 4.0 , NEMO Consortium (2018)
+   !! $Id: tradmp.F90 10425 2018-12-19 21:54:16Z smasson $ 
+   !! Software governed by the CeCILL license (see ./LICENSE)
+   !!----------------------------------------------------------------------
+CONTAINS
+
+   INTEGER FUNCTION tra_dmp_alloc()
+      !!----------------------------------------------------------------------
+      !!                ***  FUNCTION tra_dmp_alloc  ***
+      !!----------------------------------------------------------------------
+      ALLOCATE( resto(jpi,jpj,jpk), STAT= tra_dmp_alloc )
+      !
+      CALL mpp_sum ( 'tradmp', tra_dmp_alloc )
+      IF( tra_dmp_alloc > 0 )   CALL ctl_warn('tra_dmp_alloc: allocation of arrays failed')
+      !
+   END FUNCTION tra_dmp_alloc
+
+
+   SUBROUTINE tra_dmp( kt )
+      !!----------------------------------------------------------------------
+      !!                   ***  ROUTINE tra_dmp  ***
+      !!                  
+      !! ** Purpose :   Compute the tracer trend due to a newtonian damping
+      !!      of the tracer field towards given data field and add it to the
+      !!      general tracer trends.
+      !!
+      !! ** Method  :   Newtonian damping towards t_dta and s_dta computed 
+      !!      and add to the general tracer trends:
+      !!                     ta = ta + resto * (t_dta - tb)
+      !!                     sa = sa + resto * (s_dta - sb)
+      !!         The trend is computed either throughout the water column
+      !!      (nlmdmp=0) or in area of weak vertical mixing (nlmdmp=1) or
+      !!      below the well mixed layer (nlmdmp=2)
+      !!
+      !! ** Action  : - tsa: tracer trends updated with the damping trend
+      !!----------------------------------------------------------------------
+      INTEGER, INTENT(in) ::   kt   ! ocean time-step index
+      !
+      INTEGER ::   ji, jj, jk, jn   ! dummy loop indices
+      REAL(wp), DIMENSION(jpi,jpj,jpk,jpts)     ::  zts_dta
+      REAL(wp), DIMENSION(:,:,:,:), ALLOCATABLE ::  ztrdts
+      !!----------------------------------------------------------------------
+      !
+      IF( ln_timing )   CALL timing_start('tra_dmp')
+      !
+      IF( l_trdtra )   THEN                    !* Save ta and sa trends
+         ALLOCATE( ztrdts(jpi,jpj,jpk,jpts) ) 
+         ztrdts(:,:,:,:) = tsa(:,:,:,:) 
+      ENDIF
+      !                           !==  input T-S data at kt  ==!
+      CALL dta_tsd( kt, 'dmp', zts_dta )            ! read and interpolates T-S data at kt
+      !
+      SELECT CASE ( nn_zdmp )     !==  type of damping  ==!
+      !
+      CASE( 0 )                        !*  newtonian damping throughout the water column  *!
+         DO jn = 1, jpts
+            DO jk = 1, jpkm1
+               DO jj = 2, jpjm1
+                  DO ji = fs_2, fs_jpim1   ! vector opt.
+                     tsa(ji,jj,jk,jn) = tsa(ji,jj,jk,jn) + resto(ji,jj,jk) * ( zts_dta(ji,jj,jk,jn) - tsb(ji,jj,jk,jn) )
+                  END DO
+               END DO
+            END DO
+         END DO
+         !
+      CASE ( 1 )                       !*  no damping in the turbocline (avt > 5 cm2/s)  *!
+         DO jk = 1, jpkm1
+            DO jj = 2, jpjm1
+               DO ji = fs_2, fs_jpim1   ! vector opt.
+                  IF( avt(ji,jj,jk) <= avt_c ) THEN
+                     tsa(ji,jj,jk,jp_tem) = tsa(ji,jj,jk,jp_tem)   &
+                        &                 + resto(ji,jj,jk) * ( zts_dta(ji,jj,jk,jp_tem) - tsb(ji,jj,jk,jp_tem) )
+                     tsa(ji,jj,jk,jp_sal) = tsa(ji,jj,jk,jp_sal)   &
+                        &                 + resto(ji,jj,jk) * ( zts_dta(ji,jj,jk,jp_sal) - tsb(ji,jj,jk,jp_sal) )
+                  ENDIF
+               END DO
+            END DO
+         END DO
+         !
+      CASE ( 2 )                       !*  no damping in the mixed layer   *!
+         DO jk = 1, jpkm1
+            DO jj = 2, jpjm1
+               DO ji = fs_2, fs_jpim1   ! vector opt.
+                  IF( gdept_n(ji,jj,jk) >= hmlp (ji,jj) ) THEN
+                     tsa(ji,jj,jk,jp_tem) = tsa(ji,jj,jk,jp_tem)   &
+                        &                 + resto(ji,jj,jk) * ( zts_dta(ji,jj,jk,jp_tem) - tsb(ji,jj,jk,jp_tem) )
+                     tsa(ji,jj,jk,jp_sal) = tsa(ji,jj,jk,jp_sal)   &
+                        &                 + resto(ji,jj,jk) * ( zts_dta(ji,jj,jk,jp_sal) - tsb(ji,jj,jk,jp_sal) )
+                  ENDIF
+               END DO
+            END DO
+         END DO
+         !
+      END SELECT
+      !
+      IF( l_trdtra )   THEN       ! trend diagnostic
+         ztrdts(:,:,:,:) = tsa(:,:,:,:) - ztrdts(:,:,:,:)
+         CALL trd_tra( kt, 'TRA', jp_tem, jptra_dmp, ztrdts(:,:,:,jp_tem) )
+         CALL trd_tra( kt, 'TRA', jp_sal, jptra_dmp, ztrdts(:,:,:,jp_sal) )
+         DEALLOCATE( ztrdts ) 
+      ENDIF
+      !                           ! Control print
+      IF(ln_ctl)   CALL prt_ctl( tab3d_1=tsa(:,:,:,jp_tem), clinfo1=' dmp  - Ta: ', mask1=tmask,   &
+         &                       tab3d_2=tsa(:,:,:,jp_sal), clinfo2=       ' Sa: ', mask2=tmask, clinfo3='tra' )
+      !
+      IF( ln_timing )   CALL timing_stop('tra_dmp')
+      !
+   END SUBROUTINE tra_dmp
+
+
+   SUBROUTINE tra_dmp_init
+      !!----------------------------------------------------------------------
+      !!                  ***  ROUTINE tra_dmp_init  ***
+      !! 
+      !! ** Purpose :   Initialization for the newtonian damping 
+      !!
+      !! ** Method  :   read the namtra_dmp namelist and check the parameters
+      !!----------------------------------------------------------------------
+      INTEGER ::   ios, imask   ! local integers 
+      !
+      NAMELIST/namtra_dmp/ ln_tradmp, nn_zdmp, cn_resto
+      !!----------------------------------------------------------------------
+      !
+      REWIND( numnam_ref )   ! Namelist namtra_dmp in reference namelist : T & S relaxation
+      READ  ( numnam_ref, namtra_dmp, IOSTAT = ios, ERR = 901)
+901   IF( ios /= 0 )   CALL ctl_nam ( ios , 'namtra_dmp in reference namelist', lwp )
+      !
+      REWIND( numnam_cfg )   ! Namelist namtra_dmp in configuration namelist : T & S relaxation
+      READ  ( numnam_cfg, namtra_dmp, IOSTAT = ios, ERR = 902 )
+902   IF( ios >  0 )   CALL ctl_nam ( ios , 'namtra_dmp in configuration namelist', lwp )
+      IF(lwm) WRITE ( numond, namtra_dmp )
+      !
+      IF(lwp) THEN                  ! Namelist print
+         WRITE(numout,*)
+         WRITE(numout,*) 'tra_dmp_init : T and S newtonian relaxation'
+         WRITE(numout,*) '~~~~~~~~~~~~'
+         WRITE(numout,*) '   Namelist namtra_dmp : set relaxation parameters'
+         WRITE(numout,*) '      Apply relaxation   or not       ln_tradmp   = ', ln_tradmp
+         WRITE(numout,*) '         mixed layer damping option      nn_zdmp  = ', nn_zdmp
+         WRITE(numout,*) '         Damping file name               cn_resto = ', cn_resto
+         WRITE(numout,*)
+      ENDIF
+      !
+      IF( ln_tradmp ) THEN
+         !                          ! Allocate arrays
+         IF( tra_dmp_alloc() /= 0 )   CALL ctl_stop( 'STOP', 'tra_dmp_init: unable to allocate arrays' )
+         !
+         SELECT CASE (nn_zdmp)      ! Check values of nn_zdmp
+         CASE ( 0 )   ;   IF(lwp) WRITE(numout,*) '   tracer damping as specified by mask'
+         CASE ( 1 )   ;   IF(lwp) WRITE(numout,*) '   no tracer damping in the mixing layer (kz > 5 cm2/s)'
+         CASE ( 2 )   ;   IF(lwp) WRITE(numout,*) '   no tracer damping in the mixed  layer'
+         CASE DEFAULT
+            CALL ctl_stop('tra_dmp_init : wrong value of nn_zdmp')
+         END SELECT
+         !
+         !!TG: Initialisation of dtatsd - Would it be better to have dmpdta routine
+         !    so can damp to something other than intitial conditions files?
+         !!gm: In principle yes. Nevertheless, we can't anticipate demands that have never been formulated.
+         IF( .NOT.ln_tsd_dmp ) THEN
+            IF(lwp) WRITE(numout,*)
+            IF(lwp) WRITE(numout, *)  '   read T-S data not initialized, we force ln_tsd_dmp=T'
+            CALL dta_tsd_init( ld_tradmp=ln_tradmp )        ! forces the initialisation of T-S data
+         ENDIF
+         !                          ! Read in mask from file
+         CALL iom_open ( cn_resto, imask)
+         CALL iom_get  ( imask, jpdom_autoglo, 'resto', resto )
+         CALL iom_close( imask )
+      ENDIF
+      !
+   END SUBROUTINE tra_dmp_init
+
+   !!======================================================================
+END MODULE tradmp
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/usrdef_sbc.F90
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/usrdef_sbc.F90	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/MY_SRC/usrdef_sbc.F90	(revision 11889)
@@ -0,0 +1,87 @@
+MODULE usrdef_sbc
+   !!======================================================================
+   !!                       ***  MODULE usrdef_sbc  ***
+   !! 
+   !!                  ===  ISOMIP configuration  ===
+   !!
+   !! User defined :   surface forcing of a user configuration
+   !!======================================================================
+   !! History :  4.0   ! 2016-03  (S. Flavoni, G. Madec)   user defined interface
+   !!                  ! 2017-02  (P. Mathiot, S. Flavoni) adapt code to ISOMIP case
+   !!----------------------------------------------------------------------
+
+   !!----------------------------------------------------------------------
+   !!   usr_def_sbc    : user defined surface bounday conditions in ISOMIP case
+   !!----------------------------------------------------------------------
+   USE oce             ! ocean dynamics and tracers
+   USE dom_oce         ! ocean space and time domain
+   USE sbc_oce         ! Surface boundary condition: ocean fields
+   USE sbc_ice         ! Surface boundary condition: ice fields
+   USE phycst          ! physical constants
+   !
+   USE in_out_manager  ! I/O manager
+   USE lib_mpp         ! distribued memory computing library
+   USE lbclnk          ! ocean lateral boundary conditions (or mpp link)
+   USE lib_fortran     ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) 
+
+   IMPLICIT NONE
+   PRIVATE
+
+   PUBLIC   usrdef_sbc_oce      ! routine called in sbcmod module
+   PUBLIC   usrdef_sbc_ice_tau  ! routine called by icestp.F90 for ice dynamics
+   PUBLIC   usrdef_sbc_ice_flx  ! routine called by icestp.F90 for ice thermo
+
+   !! * Substitutions
+#  include "vectopt_loop_substitute.h90"
+   !!----------------------------------------------------------------------
+   !! NEMO/OCE 4.0 , NEMO Consortium (2018)
+   !! $Id: usrdef_sbc.F90 10074 2018-08-28 16:15:49Z nicolasmartin $
+   !! Software governed by the CeCILL license (see ./LICENSE)
+   !!----------------------------------------------------------------------
+CONTAINS
+
+   SUBROUTINE usrdef_sbc_oce( kt )
+      !!---------------------------------------------------------------------
+      !!                    ***  ROUTINE usr_def_sbc  ***
+      !!              
+      !! ** Purpose :   provide at each time-step the surface boundary
+      !!              condition, i.e. the momentum, heat and freshwater fluxes.
+      !!
+      !! ** Method  :   all 0 fields, for ISOMIP case
+      !!                CAUTION : never mask the surface stress field !
+      !!
+      !! ** Action  : - set to ZERO all the ocean surface boundary condition, i.e.   
+      !!                   utau, vtau, taum, wndm, qns, qsr, emp, sfx
+      !!
+      !!----------------------------------------------------------------------
+      INTEGER, INTENT(in) ::   kt   ! ocean time step
+      !!---------------------------------------------------------------------
+      !
+      !
+      IF (kt == nit000) THEN
+         IF(lwp) WRITE(numout,*)' usr_sbc : ISOMIP case: NO surface forcing'
+         IF(lwp) WRITE(numout,*)' ~~~~~~~~~~~   utau = vtau = taum = wndm = qns = qsr = emp = sfx = 0'
+      END IF
+      !
+      utau(:,:) = 0._wp
+      vtau(:,:) = 0._wp
+      taum(:,:) = 0._wp
+      wndm(:,:) = 0._wp
+      !
+      emp (:,:) = 0._wp
+      sfx (:,:) = 0._wp
+      qns (:,:) = 0._wp
+      qsr (:,:) = 0._wp
+      !         
+   END SUBROUTINE usrdef_sbc_oce
+
+   SUBROUTINE usrdef_sbc_ice_tau( kt )
+      INTEGER, INTENT(in) ::   kt   ! ocean time step
+   END SUBROUTINE usrdef_sbc_ice_tau
+
+   SUBROUTINE usrdef_sbc_ice_flx( kt )
+      INTEGER, INTENT(in) ::   kt   ! ocean time step
+   END SUBROUTINE usrdef_sbc_ice_flx
+
+   !!======================================================================
+END MODULE usrdef_sbc
Index: NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/cpp_ISOMIP+.fcm
===================================================================
--- NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/cpp_ISOMIP+.fcm	(revision 11889)
+++ NEMO/branches/2019/ENHANCE-02_ISF_nemo/tests/ISOMIP+/cpp_ISOMIP+.fcm	(revision 11889)
@@ -0,0 +1,1 @@
+ bld::tool::fppkeys   key_iomput key_mpp_mpi 
