- Timestamp:
- 2015-12-14T10:27:28+01:00 (8 years ago)
- Location:
- branches/2014/dev_r4650_UKMO14.12_STAND_ALONE_OBSOPER/NEMOGCM/NEMO/OPA_SRC/LDF
- Files:
-
- 14 deleted
- 3 edited
- 1 copied
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ldfc1d_c2d.F90 (copied) (copied from trunk/NEMOGCM/NEMO/OPA_SRC/LDF/ldfc1d_c2d.F90)
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ldfdyn.F90 (modified) (4 diffs)
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ldfdyn_c1d.h90 (deleted)
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ldfdyn_c2d.h90 (deleted)
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ldfdyn_c3d.h90 (deleted)
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ldfdyn_oce.F90 (deleted)
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ldfdyn_smag.F90 (deleted)
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ldfdyn_substitute.h90 (deleted)
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ldfeiv.F90 (deleted)
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ldfeiv_substitute.h90 (deleted)
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ldfslp.F90 (modified) (24 diffs)
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ldftra.F90 (modified) (4 diffs)
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ldftra_c1d.h90 (deleted)
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ldftra_c2d.h90 (deleted)
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ldftra_c3d.h90 (deleted)
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ldftra_oce.F90 (deleted)
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ldftra_smag.F90 (deleted)
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ldftra_substitute.h90 (deleted)
Legend:
- Unmodified
- Added
- Removed
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branches/2014/dev_r4650_UKMO14.12_STAND_ALONE_OBSOPER/NEMOGCM/NEMO/OPA_SRC/LDF/ldfdyn.F90
r4624 r6043 6 6 !! History : OPA ! 1997-07 (G. Madec) multi dimensional coefficients 7 7 !! NEMO 1.0 ! 2002-09 (G. Madec) F90: Free form and module 8 !! ----------------------------------------------------------------------9 10 !!---------------------------------------------------------------------- 11 !! ldf_dyn_init : initialization, namelist read, and parameters control 12 !! ldf_dyn_c3d : 3D eddy viscosity coefficient initialization13 !! ldf_dyn_ c2d : 2D eddy viscosity coefficient initialization14 !! ldf_dyn _c1d : 1D eddy viscosity coefficient initialization8 !! 3.7 ! 2014-01 (F. Lemarie, G. Madec) restructuration/simplification of ahm specification, 9 !! ! add velocity dependent coefficient and optional read in file 10 !!---------------------------------------------------------------------- 11 12 !!---------------------------------------------------------------------- 13 !! ldf_dyn_init : initialization, namelist read, and parameters control 14 !! ldf_dyn : update lateral eddy viscosity coefficients at each time step 15 15 !!---------------------------------------------------------------------- 16 16 USE oce ! ocean dynamics and tracers 17 17 USE dom_oce ! ocean space and time domain 18 USE ldfdyn_oce ! ocean dynamics lateral physics19 18 USE phycst ! physical constants 20 USE ldf slp ! ???21 USE ioipsl19 USE ldfc1d_c2d ! lateral diffusion: 1D and 2D cases 20 ! 22 21 USE in_out_manager ! I/O manager 22 USE iom ! I/O module for ehanced bottom friction file 23 USE timing ! Timing 23 24 USE lib_mpp ! distribued memory computing library 24 25 USE lbclnk ! ocean lateral boundary conditions (or mpp link) … … 28 29 PRIVATE 29 30 30 PUBLIC ldf_dyn_init ! called by opa.F90 31 32 INTERFACE ldf_zpf 33 MODULE PROCEDURE ldf_zpf_1d, ldf_zpf_1d_3d, ldf_zpf_3d 34 END INTERFACE 31 PUBLIC ldf_dyn_init ! called by nemogcm.F90 32 PUBLIC ldf_dyn ! called by step.F90 33 34 ! !!* Namelist namdyn_ldf : lateral mixing on momentum * 35 LOGICAL , PUBLIC :: ln_dynldf_lap !: laplacian operator 36 LOGICAL , PUBLIC :: ln_dynldf_blp !: bilaplacian operator 37 LOGICAL , PUBLIC :: ln_dynldf_lev !: iso-level direction 38 LOGICAL , PUBLIC :: ln_dynldf_hor !: horizontal (geopotential) direction 39 LOGICAL , PUBLIC :: ln_dynldf_iso !: iso-neutral direction 40 INTEGER , PUBLIC :: nn_ahm_ijk_t !: choice of time & space variations of the lateral eddy viscosity coef. 41 REAL(wp), PUBLIC :: rn_ahm_0 !: lateral laplacian eddy viscosity [m2/s] 42 REAL(wp), PUBLIC :: rn_ahm_b !: lateral laplacian background eddy viscosity [m2/s] 43 REAL(wp), PUBLIC :: rn_bhm_0 !: lateral bilaplacian eddy viscosity [m4/s] 44 45 LOGICAL , PUBLIC :: l_ldfdyn_time !: flag for time variation of the lateral eddy viscosity coef. 46 47 REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ahmt, ahmf !: eddy diffusivity coef. at U- and V-points [m2/s or m4/s] 48 49 REAL(wp) :: r1_12 = 1._wp / 12._wp ! =1/12 50 REAL(wp) :: r1_4 = 0.25_wp ! =1/4 51 REAL(wp) :: r1_288 = 1._wp / 288._wp ! =1/( 12^2 * 2 ) 35 52 36 53 !! * Substitutions 37 54 # include "domzgr_substitute.h90" 38 !!---------------------------------------------------------------------- 39 !! NEMO/OPA 3.3 , NEMO Consortium (2010) 55 # include "vectopt_loop_substitute.h90" 56 !!---------------------------------------------------------------------- 57 !! NEMO/OPA 3.7 , NEMO Consortium (2014) 40 58 !! $Id$ 41 59 !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) … … 49 67 !! ** Purpose : set the horizontal ocean dynamics physics 50 68 !! 51 !! ** Method : 52 !! - default option : ahm = constant coef. = rn_ahm_0 (namelist) 53 !! - 'key_dynldf_c1d': ahm = F(depth) see ldf_dyn_c1d.h90 54 !! - 'key_dynldf_c2d': ahm = F(latitude,longitude) see ldf_dyn_c2d.h90 55 !! - 'key_dynldf_c3d': ahm = F(latitude,longitude,depth) see ldf_dyn_c3d.h90 56 !! 57 !! N.B. User defined include files. By default, 3d and 2d coef. 58 !! are set to a constant value given in the namelist and the 1d 59 !! coefficients are initialized to a hyperbolic tangent vertical 60 !! profile. 61 !! 62 !! Reference : Madec, G. and M. Imbard, 1996: Climate Dynamics, 12, 381-388. 63 !!---------------------------------------------------------------------- 64 INTEGER :: ioptio ! ??? 65 INTEGER :: ios ! Local : output status for namelist read 66 LOGICAL :: ll_print = .FALSE. ! Logical flag for printing viscosity coef. 67 !! 68 NAMELIST/namdyn_ldf/ ln_dynldf_lap , ln_dynldf_bilap, & 69 & ln_dynldf_level, ln_dynldf_hor , ln_dynldf_iso, & 70 & rn_ahm_0_lap , rn_ahmb_0 , rn_ahm_0_blp , & 71 & rn_cmsmag_1 , rn_cmsmag_2 , rn_cmsh, & 72 & rn_ahm_m_lap , rn_ahm_m_blp 73 74 !!---------------------------------------------------------------------- 75 69 !! ** Method : the eddy viscosity coef. specification depends on: 70 !! - the operator: 71 !! ln_dynldf_lap = T laplacian operator 72 !! ln_dynldf_blp = T bilaplacian operator 73 !! - the parameter nn_ahm_ijk_t: 74 !! nn_ahm_ijk_t = 0 => = constant 75 !! = 10 => = F(z) : = constant with a reduction of 1/4 with depth 76 !! =-20 => = F(i,j) = shape read in 'eddy_viscosity.nc' file 77 !! = 20 = F(i,j) = F(e1,e2) or F(e1^3,e2^3) (lap or bilap case) 78 !! =-30 => = F(i,j,k) = shape read in 'eddy_viscosity.nc' file 79 !! = 30 = F(i,j,k) = 2D (case 20) + decrease with depth (case 10) 80 !! = 31 = F(i,j,k,t) = F(local velocity) ( |u|e /12 laplacian operator 81 !! or |u|e^3/12 bilaplacian operator ) 82 !!---------------------------------------------------------------------- 83 INTEGER :: jk ! dummy loop indices 84 INTEGER :: ierr, inum, ios ! local integer 85 REAL(wp) :: zah0 ! local scalar 86 ! 87 NAMELIST/namdyn_ldf/ ln_dynldf_lap, ln_dynldf_blp, & 88 & ln_dynldf_lev, ln_dynldf_hor, ln_dynldf_iso, & 89 & nn_ahm_ijk_t , rn_ahm_0, rn_ahm_b, rn_bhm_0 90 !!---------------------------------------------------------------------- 91 ! 76 92 REWIND( numnam_ref ) ! Namelist namdyn_ldf in reference namelist : Lateral physics 77 93 READ ( numnam_ref, namdyn_ldf, IOSTAT = ios, ERR = 901) … … 88 104 WRITE(numout,*) '~~~~~~~' 89 105 WRITE(numout,*) ' Namelist namdyn_ldf : set lateral mixing parameters' 90 WRITE(numout,*) ' laplacian operator ln_dynldf_lap = ', ln_dynldf_lap 91 WRITE(numout,*) ' bilaplacian operator ln_dynldf_bilap = ', ln_dynldf_bilap 92 WRITE(numout,*) ' iso-level ln_dynldf_level = ', ln_dynldf_level 93 WRITE(numout,*) ' horizontal (geopotential) ln_dynldf_hor = ', ln_dynldf_hor 94 WRITE(numout,*) ' iso-neutral ln_dynldf_iso = ', ln_dynldf_iso 95 WRITE(numout,*) ' horizontal laplacian eddy viscosity rn_ahm_0_lap = ', rn_ahm_0_lap 96 WRITE(numout,*) ' background viscosity rn_ahmb_0 = ', rn_ahmb_0 97 WRITE(numout,*) ' horizontal bilaplacian eddy viscosity rn_ahm_0_blp = ', rn_ahm_0_blp 98 WRITE(numout,*) ' upper limit for laplacian eddy visc rn_ahm_m_lap = ', rn_ahm_m_lap 99 WRITE(numout,*) ' upper limit for bilap eddy viscosity rn_ahm_m_blp = ', rn_ahm_m_blp 100 101 ENDIF 102 103 ahm0 = rn_ahm_0_lap ! OLD namelist variables defined from DOCTOR namelist variables 104 ahmb0 = rn_ahmb_0 105 ahm0_blp = rn_ahm_0_blp 106 107 ! ... check of lateral diffusive operator on tracers 108 ! ==> will be done in trazdf module 109 110 ! ... Space variation of eddy coefficients 111 ioptio = 0 112 #if defined key_dynldf_c3d 113 IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F( latitude, longitude, depth)' 114 ioptio = ioptio+1 115 #endif 116 #if defined key_dynldf_c2d 117 IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F( latitude, longitude)' 118 ioptio = ioptio+1 119 #endif 120 #if defined key_dynldf_c1d 121 IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F( depth )' 122 ioptio = ioptio+1 123 IF( ln_sco ) CALL ctl_stop( 'key_dynldf_c1d cannot be used in s-coordinate (ln_sco)' ) 124 #endif 125 IF( ioptio == 0 ) THEN 126 IF(lwp) WRITE(numout,*) ' momentum mixing coef. = constant (default option)' 127 ELSEIF( ioptio > 1 ) THEN 128 CALL ctl_stop( 'use only one of the following keys: key_dynldf_c3d, key_dynldf_c2d, key_dynldf_c1d' ) 129 ENDIF 130 131 132 IF( ln_dynldf_bilap ) THEN 133 IF(lwp) WRITE(numout,*) ' biharmonic momentum diffusion' 134 IF( .NOT. ln_dynldf_lap ) ahm0 = ahm0_blp ! Allow spatially varying coefs, which use ahm0 as input 135 IF( ahm0_blp > 0 .AND. .NOT. lk_esopa ) CALL ctl_stop( 'The horizontal viscosity coef. ahm0 must be negative' ) 136 ELSE 137 IF(lwp) WRITE(numout,*) ' harmonic momentum diff. (default)' 138 IF( ahm0 < 0 .AND. .NOT. lk_esopa ) CALL ctl_stop( 'The horizontal viscosity coef. ahm0 must be positive' ) 139 ENDIF 140 141 142 ! Lateral eddy viscosity 143 ! ====================== 144 #if defined key_dynldf_c3d 145 CALL ldf_dyn_c3d( ll_print ) ! ahm = 3D coef. = F( longitude, latitude, depth ) 146 #elif defined key_dynldf_c2d 147 CALL ldf_dyn_c2d( ll_print ) ! ahm = 1D coef. = F( longitude, latitude ) 148 #elif defined key_dynldf_c1d 149 CALL ldf_dyn_c1d( ll_print ) ! ahm = 1D coef. = F( depth ) 150 #else 151 ! Constant coefficients 152 IF(lwp) WRITE(numout,*) 153 IF(lwp) WRITE(numout,*) 'inildf: constant eddy viscosity coef. ' 154 IF(lwp) WRITE(numout,*) '~~~~~~' 155 IF(lwp) WRITE(numout,*) ' ahm1 = ahm2 = ahm0 = ',ahm0 156 #endif 157 nkahm_smag = 0 158 #if defined key_dynldf_smag 159 nkahm_smag = 1 160 #endif 161 106 ! 107 WRITE(numout,*) ' type :' 108 WRITE(numout,*) ' laplacian operator ln_dynldf_lap = ', ln_dynldf_lap 109 WRITE(numout,*) ' bilaplacian operator ln_dynldf_blp = ', ln_dynldf_blp 110 ! 111 WRITE(numout,*) ' direction of action :' 112 WRITE(numout,*) ' iso-level ln_dynldf_lev = ', ln_dynldf_lev 113 WRITE(numout,*) ' horizontal (geopotential) ln_dynldf_hor = ', ln_dynldf_hor 114 WRITE(numout,*) ' iso-neutral ln_dynldf_iso = ', ln_dynldf_iso 115 ! 116 WRITE(numout,*) ' coefficients :' 117 WRITE(numout,*) ' type of time-space variation nn_ahm_ijk_t = ', nn_ahm_ijk_t 118 WRITE(numout,*) ' lateral laplacian eddy viscosity rn_ahm_0_lap = ', rn_ahm_0, ' m2/s' 119 WRITE(numout,*) ' background viscosity (iso case) rn_ahm_b = ', rn_ahm_b, ' m2/s' 120 WRITE(numout,*) ' lateral bilaplacian eddy viscosity rn_ahm_0_blp = ', rn_bhm_0, ' m4/s' 121 ENDIF 122 123 ! ! Parameter control 124 IF( .NOT.ln_dynldf_lap .AND. .NOT.ln_dynldf_blp ) THEN 125 IF(lwp) WRITE(numout,*) ' No viscous operator selected. ahmt and ahmf are not allocated' 126 l_ldfdyn_time = .FALSE. 127 RETURN 128 ENDIF 129 ! 130 IF( ln_dynldf_blp .AND. ln_dynldf_iso ) THEN ! iso-neutral bilaplacian not implemented 131 CALL ctl_stop( 'dyn_ldf_init: iso-neutral bilaplacian not coded yet' ) 132 ENDIF 133 134 ! ... Space/Time variation of eddy coefficients 135 ! ! allocate the ahm arrays 136 ALLOCATE( ahmt(jpi,jpj,jpk) , ahmf(jpi,jpj,jpk) , STAT=ierr ) 137 IF( ierr /= 0 ) CALL ctl_stop( 'STOP', 'ldf_dyn_init: failed to allocate arrays') 138 ! 139 ahmt(:,:,jpk) = 0._wp ! last level always 0 140 ahmf(:,:,jpk) = 0._wp 141 ! 142 ! ! value of eddy mixing coef. 143 IF ( ln_dynldf_lap ) THEN ; zah0 = rn_ahm_0 ! laplacian operator 144 ELSEIF( ln_dynldf_blp ) THEN ; zah0 = ABS( rn_bhm_0 ) ! bilaplacian operator 145 ELSE ! NO viscous operator 146 CALL ctl_warn( 'ldf_dyn_init: No lateral viscous operator used ' ) 147 ENDIF 148 ! 149 l_ldfdyn_time = .FALSE. ! no time variation except in case defined below 150 ! 151 IF( ln_dynldf_lap .OR. ln_dynldf_blp ) THEN ! only if a lateral diffusion operator is used 152 ! 153 SELECT CASE( nn_ahm_ijk_t ) ! Specification of space time variations of ahmt, ahmf 154 ! 155 CASE( 0 ) !== constant ==! 156 IF(lwp) WRITE(numout,*) ' momentum mixing coef. = constant ' 157 ahmt(:,:,:) = zah0 * tmask(:,:,:) 158 ahmf(:,:,:) = zah0 * fmask(:,:,:) 159 ! 160 CASE( 10 ) !== fixed profile ==! 161 IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F( depth )' 162 ahmt(:,:,1) = zah0 * tmask(:,:,1) ! constant surface value 163 ahmf(:,:,1) = zah0 * fmask(:,:,1) 164 CALL ldf_c1d( 'DYN', r1_4, ahmt(:,:,1), ahmf(:,:,1), ahmt, ahmf ) 165 ! 166 CASE ( -20 ) !== fixed horizontal shape read in file ==! 167 IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F(i,j) read in eddy_viscosity.nc file' 168 CALL iom_open( 'eddy_viscosity_2D.nc', inum ) 169 CALL iom_get ( inum, jpdom_data, 'ahmt_2d', ahmt(:,:,1) ) 170 CALL iom_get ( inum, jpdom_data, 'ahmf_2d', ahmf(:,:,1) ) 171 CALL iom_close( inum ) 172 !!gm Question : info for LAP or BLP case to take into account the SQRT in the bilaplacian case ??? 173 !! do we introduce a scaling by the max value of the array, and then multiply by zah0 ???? 174 !! better: check that the max is <=1 i.e. it is a shape from 0 to 1, not a coef that has physical dimension 175 DO jk = 2, jpkm1 176 ahmt(:,:,jk) = ahmt(:,:,1) * tmask(:,:,jk) 177 ahmf(:,:,jk) = ahmf(:,:,1) * fmask(:,:,jk) 178 END DO 179 ! 180 CASE( 20 ) !== fixed horizontal shape ==! 181 IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F( e1, e2 ) or F( e1^3, e2^3 ) (lap. or blp. case)' 182 IF( ln_dynldf_lap ) CALL ldf_c2d( 'DYN', 'LAP', zah0, ahmt, ahmf ) ! surface value proportional to scale factor 183 IF( ln_dynldf_blp ) CALL ldf_c2d( 'DYN', 'BLP', zah0, ahmt, ahmf ) ! surface value proportional to scale factor^3 184 ! 185 CASE( -30 ) !== fixed 3D shape read in file ==! 186 IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F(i,j,k) read in eddy_diffusivity_3D.nc file' 187 CALL iom_open( 'eddy_viscosity_3D.nc', inum ) 188 CALL iom_get ( inum, jpdom_data, 'ahmt_3d', ahmt ) 189 CALL iom_get ( inum, jpdom_data, 'ahmf_3d', ahmf ) 190 CALL iom_close( inum ) 191 !!gm Question : info for LAP or BLP case to take into account the SQRT in the bilaplacian case ???? 192 !! do we introduce a scaling by the max value of the array, and then multiply by zah0 ???? 193 DO jk = 1, jpkm1 194 ahmt(:,:,jk) = ahmt(:,:,jk) * tmask(:,:,jk) 195 ahmf(:,:,jk) = ahmf(:,:,jk) * fmask(:,:,jk) 196 END DO 197 ! 198 CASE( 30 ) !== fixed 3D shape ==! 199 IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F( latitude, longitude, depth )' 200 IF( ln_dynldf_lap ) CALL ldf_c2d( 'DYN', 'LAP', zah0, ahmt, ahmf ) ! surface value proportional to scale factor 201 IF( ln_dynldf_blp ) CALL ldf_c2d( 'DYN', 'BLP', zah0, ahmt, ahmf ) ! surface value proportional to scale factor 202 ! ! reduction with depth 203 CALL ldf_c1d( 'DYN', r1_4, ahmt(:,:,1), ahmf(:,:,1), ahmt, ahmf ) 204 ! 205 CASE( 31 ) !== time varying 3D field ==! 206 IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F( latitude, longitude, depth , time )' 207 IF(lwp) WRITE(numout,*) ' proportional to the velocity : |u|e/12 or |u|e^3/12' 208 ! 209 l_ldfdyn_time = .TRUE. ! will be calculated by call to ldf_dyn routine in step.F90 210 ! 211 CASE DEFAULT 212 CALL ctl_stop('ldf_dyn_init: wrong choice for nn_ahm_ijk_t, the type of space-time variation of ahm') 213 END SELECT 214 ! 215 IF( ln_dynldf_blp .AND. .NOT. l_ldfdyn_time ) THEN ! bilapcian and no time variation: 216 ahmt(:,:,:) = SQRT( ahmt(:,:,:) ) ! take the square root of the coefficient 217 ahmf(:,:,:) = SQRT( ahmf(:,:,:) ) 218 ENDIF 219 ! 220 ENDIF 162 221 ! 163 222 END SUBROUTINE ldf_dyn_init 164 223 165 #if defined key_dynldf_c3d 166 # include "ldfdyn_c3d.h90" 167 #elif defined key_dynldf_c2d 168 # include "ldfdyn_c2d.h90" 169 #elif defined key_dynldf_c1d 170 # include "ldfdyn_c1d.h90" 171 #endif 172 173 174 SUBROUTINE ldf_zpf_1d( ld_print, pdam, pwam, pbot, pdep, pah ) 175 !!---------------------------------------------------------------------- 176 !! *** ROUTINE ldf_zpf *** 177 !! 178 !! ** Purpose : vertical adimensional profile for eddy coefficient 179 !! 180 !! ** Method : 1D eddy viscosity coefficients ( depth ) 181 !!---------------------------------------------------------------------- 182 LOGICAL , INTENT(in ) :: ld_print ! If true, output arrays on numout 183 REAL(wp), INTENT(in ) :: pdam ! depth of the inflection point 184 REAL(wp), INTENT(in ) :: pwam ! width of inflection 185 REAL(wp), INTENT(in ) :: pbot ! bottom value (0<pbot<= 1) 186 REAL(wp), INTENT(in ), DIMENSION(jpk) :: pdep ! depth of the gridpoint (T, U, V, F) 187 REAL(wp), INTENT(inout), DIMENSION(jpk) :: pah ! adimensional vertical profile 188 !! 189 INTEGER :: jk ! dummy loop indices 190 REAL(wp) :: zm00, zm01, zmhb, zmhs ! temporary scalars 191 !!---------------------------------------------------------------------- 192 193 zm00 = TANH( ( pdam - gdept_1d(1 ) ) / pwam ) 194 zm01 = TANH( ( pdam - gdept_1d(jpkm1) ) / pwam ) 195 zmhs = zm00 / zm01 196 zmhb = ( 1.e0 - pbot ) / ( 1.e0 - zmhs ) / zm01 197 198 DO jk = 1, jpk 199 pah(jk) = 1.e0 + zmhb * ( zm00 - TANH( ( pdam - pdep(jk) ) / pwam ) ) 200 END DO 201 202 IF(lwp .AND. ld_print ) THEN ! Control print 203 WRITE(numout,*) 204 WRITE(numout,*) ' ahm profile : ' 205 WRITE(numout,*) 206 WRITE(numout,'(" jk ahm "," depth t-level " )') 207 DO jk = 1, jpk 208 WRITE(numout,'(i6,2f12.4,3x,2f12.4)') jk, pah(jk), pdep(jk) 209 END DO 210 ENDIF 211 ! 212 END SUBROUTINE ldf_zpf_1d 213 214 215 SUBROUTINE ldf_zpf_1d_3d( ld_print, pdam, pwam, pbot, pdep, pah ) 216 !!---------------------------------------------------------------------- 217 !! *** ROUTINE ldf_zpf *** 218 !! 219 !! ** Purpose : vertical adimensional profile for eddy coefficient 220 !! 221 !! ** Method : 1D eddy viscosity coefficients ( depth ) 222 !!---------------------------------------------------------------------- 223 LOGICAL , INTENT(in ) :: ld_print ! If true, output arrays on numout 224 REAL(wp), INTENT(in ) :: pdam ! depth of the inflection point 225 REAL(wp), INTENT(in ) :: pwam ! width of inflection 226 REAL(wp), INTENT(in ) :: pbot ! bottom value (0<pbot<= 1) 227 REAL(wp), INTENT(in ), DIMENSION (:) :: pdep ! depth of the gridpoint (T, U, V, F) 228 REAL(wp), INTENT(inout), DIMENSION (:,:,:) :: pah ! adimensional vertical profile 229 !! 230 INTEGER :: jk ! dummy loop indices 231 REAL(wp) :: zm00, zm01, zmhb, zmhs, zcf ! temporary scalars 232 !!---------------------------------------------------------------------- 233 234 zm00 = TANH( ( pdam - gdept_1d(1 ) ) / pwam ) 235 zm01 = TANH( ( pdam - gdept_1d(jpkm1) ) / pwam ) 236 zmhs = zm00 / zm01 237 zmhb = ( 1.e0 - pbot ) / ( 1.e0 - zmhs ) / zm01 238 239 DO jk = 1, jpk 240 zcf = 1.e0 + zmhb * ( zm00 - TANH( ( pdam - pdep(jk) ) / pwam ) ) 241 pah(:,:,jk) = zcf 242 END DO 243 244 IF(lwp .AND. ld_print ) THEN ! Control print 245 WRITE(numout,*) 246 WRITE(numout,*) ' ahm profile : ' 247 WRITE(numout,*) 248 WRITE(numout,'(" jk ahm "," depth t-level " )') 249 DO jk = 1, jpk 250 WRITE(numout,'(i6,2f12.4,3x,2f12.4)') jk, pah(1,1,jk), pdep(jk) 251 END DO 252 ENDIF 253 ! 254 END SUBROUTINE ldf_zpf_1d_3d 255 256 257 SUBROUTINE ldf_zpf_3d( ld_print, pdam, pwam, pbot, pdep, pah ) 258 !!---------------------------------------------------------------------- 259 !! *** ROUTINE ldf_zpf *** 260 !! 261 !! ** Purpose : vertical adimensional profile for eddy coefficient 262 !! 263 !! ** Method : 3D for partial step or s-coordinate 264 !!---------------------------------------------------------------------- 265 LOGICAL , INTENT(in ) :: ld_print ! If true, output arrays on numout 266 REAL(wp), INTENT(in ) :: pdam ! depth of the inflection point 267 REAL(wp), INTENT(in ) :: pwam ! width of inflection 268 REAL(wp), INTENT(in ) :: pbot ! bottom value (0<pbot<= 1) 269 REAL(wp), INTENT(in ), DIMENSION (:,:,:) :: pdep ! dep of the gridpoint (T, U, V, F) 270 REAL(wp), INTENT(inout), DIMENSION (:,:,:) :: pah ! adimensional vertical profile 271 !! 272 INTEGER :: jk ! dummy loop indices 273 REAL(wp) :: zm00, zm01, zmhb, zmhs ! temporary scalars 274 !!---------------------------------------------------------------------- 275 276 zm00 = TANH( ( pdam - gdept_1d(1 ) ) / pwam ) 277 zm01 = TANH( ( pdam - gdept_1d(jpkm1) ) / pwam ) 278 zmhs = zm00 / zm01 279 zmhb = ( 1.e0 - pbot ) / ( 1.e0 - zmhs ) / zm01 280 281 DO jk = 1, jpk 282 pah(:,:,jk) = 1.e0 + zmhb * ( zm00 - TANH( ( pdam - pdep(:,:,jk) ) / pwam ) ) 283 END DO 284 285 IF(lwp .AND. ld_print ) THEN ! Control print 286 WRITE(numout,*) 287 WRITE(numout,*) ' ahm profile : ' 288 WRITE(numout,*) 289 WRITE(numout,'(" jk ahm "," depth t-level " )') 290 DO jk = 1, jpk 291 WRITE(numout,'(i6,2f12.4,3x,2f12.4)') jk, pah(1,1,jk), pdep(1,1,jk) 292 END DO 293 ENDIF 294 ! 295 END SUBROUTINE ldf_zpf_3d 224 225 SUBROUTINE ldf_dyn( kt ) 226 !!---------------------------------------------------------------------- 227 !! *** ROUTINE ldf_dyn *** 228 !! 229 !! ** Purpose : update at kt the momentum lateral mixing coeff. (ahmt and ahmf) 230 !! 231 !! ** Method : time varying eddy viscosity coefficients: 232 !! 233 !! nn_ahm_ijk_t = 31 ahmt, ahmf = F(i,j,k,t) = F(local velocity) 234 !! ( |u|e /12 or |u|e^3/12 for laplacian or bilaplacian operator ) 235 !! BLP case : sqrt of the eddy coef, since bilaplacian is en re-entrant laplacian 236 !! 237 !! ** action : ahmt, ahmf update at each time step 238 !!---------------------------------------------------------------------- 239 INTEGER, INTENT(in) :: kt ! time step index 240 ! 241 INTEGER :: ji, jj, jk ! dummy loop indices 242 REAL(wp) :: zu2pv2_ij_p1, zu2pv2_ij, zu2pv2_ij_m1, zetmax, zefmax ! local scalar 243 !!---------------------------------------------------------------------- 244 ! 245 IF( nn_timing == 1 ) CALL timing_start('ldf_dyn') 246 ! 247 SELECT CASE( nn_ahm_ijk_t ) !== Eddy vicosity coefficients ==! 248 ! 249 CASE( 31 ) !== time varying 3D field ==! = F( local velocity ) 250 ! 251 IF( ln_dynldf_lap ) THEN ! laplacian operator : |u| e /12 = |u/144| e 252 DO jk = 1, jpkm1 253 DO jj = 2, jpjm1 254 DO ji = fs_2, fs_jpim1 255 zu2pv2_ij_p1 = ub(ji ,jj+1,jk) * ub(ji ,jj+1,jk) + vb(ji+1,jj ,jk) * vb(ji+1,jj ,jk) 256 zu2pv2_ij = ub(ji ,jj ,jk) * ub(ji ,jj ,jk) + vb(ji ,jj ,jk) * vb(ji ,jj ,jk) 257 zu2pv2_ij_m1 = ub(ji-1,jj ,jk) * ub(ji-1,jj ,jk) + vb(ji ,jj-1,jk) * vb(ji ,jj-1,jk) 258 zetmax = MAX( e1t(ji,jj) , e2t(ji,jj) ) 259 zefmax = MAX( e1f(ji,jj) , e2f(ji,jj) ) 260 ahmt(ji,jj,jk) = SQRT( (zu2pv2_ij + zu2pv2_ij_m1) * r1_288 ) * zetmax * tmask(ji,jj,jk) ! 288= 12*12 * 2 261 ahmf(ji,jj,jk) = SQRT( (zu2pv2_ij + zu2pv2_ij_p1) * r1_288 ) * zefmax * fmask(ji,jj,jk) 262 END DO 263 END DO 264 END DO 265 ELSEIF( ln_dynldf_blp ) THEN ! bilaplacian operator : sqrt( |u| e^3 /12 ) = sqrt( |u/144| e ) * e 266 DO jk = 1, jpkm1 267 DO jj = 2, jpjm1 268 DO ji = fs_2, fs_jpim1 269 zu2pv2_ij_p1 = ub(ji ,jj+1,jk) * ub(ji ,jj+1,jk) + vb(ji+1,jj ,jk) * vb(ji+1,jj ,jk) 270 zu2pv2_ij = ub(ji ,jj ,jk) * ub(ji ,jj ,jk) + vb(ji ,jj ,jk) * vb(ji ,jj ,jk) 271 zu2pv2_ij_m1 = ub(ji-1,jj ,jk) * ub(ji-1,jj ,jk) + vb(ji ,jj-1,jk) * vb(ji ,jj-1,jk) 272 zetmax = MAX( e1t(ji,jj) , e2t(ji,jj) ) 273 zefmax = MAX( e1f(ji,jj) , e2f(ji,jj) ) 274 ahmt(ji,jj,jk) = SQRT( SQRT( (zu2pv2_ij + zu2pv2_ij_m1) * r1_288 ) * zetmax ) * zetmax * tmask(ji,jj,jk) 275 ahmf(ji,jj,jk) = SQRT( SQRT( (zu2pv2_ij + zu2pv2_ij_p1) * r1_288 ) * zefmax ) * zefmax * fmask(ji,jj,jk) 276 END DO 277 END DO 278 END DO 279 ENDIF 280 ! 281 CALL lbc_lnk( ahmt, 'T', 1. ) ; CALL lbc_lnk( ahmf, 'F', 1. ) 282 ! 283 END SELECT 284 ! 285 CALL iom_put( "ahmt_2d", ahmt(:,:,1) ) ! surface u-eddy diffusivity coeff. 286 CALL iom_put( "ahmf_2d", ahmf(:,:,1) ) ! surface v-eddy diffusivity coeff. 287 CALL iom_put( "ahmt_3d", ahmt(:,:,:) ) ! 3D u-eddy diffusivity coeff. 288 CALL iom_put( "ahmf_3d", ahmf(:,:,:) ) ! 3D v-eddy diffusivity coeff. 289 ! 290 IF( nn_timing == 1 ) CALL timing_stop('ldf_dyn') 291 ! 292 END SUBROUTINE ldf_dyn 296 293 297 294 !!====================================================================== -
branches/2014/dev_r4650_UKMO14.12_STAND_ALONE_OBSOPER/NEMOGCM/NEMO/OPA_SRC/LDF/ldfslp.F90
r5600 r6043 11 11 !! 3.3 ! 2010-10 (G. Nurser, C. Harris, G. Madec) add Griffies operator 12 12 !! - ! 2010-11 (F. Dupond, G. Madec) bug correction in slopes just below the ML 13 !! 3.7 ! 2013-12 (F. Lemarie, G. Madec) add limiter on triad slopes 13 14 !!---------------------------------------------------------------------- 14 #if defined key_ldfslp || defined key_esopa 15 15 16 !!---------------------------------------------------------------------- 16 !! 'key_ldfslp' Rotation of lateral mixing tensor17 !!----------------------------------------------------------------------18 !! ldf_slp_grif : calculates the triads of isoneutral slopes (Griffies operator)19 17 !! ldf_slp : calculates the slopes of neutral surface (Madec operator) 18 !! ldf_slp_triad : calculates the triads of isoneutral slopes (Griffies operator) 20 19 !! ldf_slp_mxl : calculates the slopes at the base of the mixed layer (Madec operator) 21 20 !! ldf_slp_init : initialization of the slopes computation … … 23 22 USE oce ! ocean dynamics and tracers 24 23 USE dom_oce ! ocean space and time domain 25 USE ldftra_oce ! lateral diffusion: traceur 26 USE ldfdyn_oce ! lateral diffusion: dynamics 24 USE ldfdyn ! lateral diffusion: eddy viscosity coef. 27 25 USE phycst ! physical constants 28 26 USE zdfmxl ! mixed layer depth … … 30 28 ! 31 29 USE in_out_manager ! I/O manager 30 USE prtctl ! Print control 32 31 USE lbclnk ! ocean lateral boundary conditions (or mpp link) 33 USE prtctl ! Print control 32 USE lib_mpp ! distribued memory computing library 33 USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) 34 34 USE wrk_nemo ! work arrays 35 35 USE timing ! Timing 36 USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined)37 36 38 37 IMPLICIT NONE 39 38 PRIVATE 40 39 41 PUBLIC ldf_slp ! routine called by step.F90 42 PUBLIC ldf_slp_grif ! routine called by step.F90 43 PUBLIC ldf_slp_init ! routine called by opa.F90 44 45 LOGICAL , PUBLIC, PARAMETER :: lk_ldfslp = .TRUE. !: slopes flag 46 ! !! Madec operator 47 ! Arrays allocated in ldf_slp_init() routine once we know whether we're using the Griffies or Madec operator 40 PUBLIC ldf_slp ! routine called by step.F90 41 PUBLIC ldf_slp_triad ! routine called by step.F90 42 PUBLIC ldf_slp_init ! routine called by nemogcm.F90 43 44 LOGICAL , PUBLIC :: l_ldfslp = .FALSE. !: slopes flag 45 46 LOGICAL , PUBLIC :: ln_traldf_iso = .TRUE. !: iso-neutral direction 47 LOGICAL , PUBLIC :: ln_traldf_triad = .FALSE. !: griffies triad scheme 48 49 LOGICAL , PUBLIC :: ln_triad_iso = .FALSE. !: pure horizontal mixing in ML 50 LOGICAL , PUBLIC :: ln_botmix_triad = .FALSE. !: mixing on bottom 51 REAL(wp), PUBLIC :: rn_sw_triad = 1._wp !: =1 switching triads ; =0 all four triads used 52 REAL(wp), PUBLIC :: rn_slpmax = 0.01_wp !: slope limit 53 54 LOGICAL , PUBLIC :: l_grad_zps = .FALSE. !: special treatment for Horz Tgradients w partial steps (triad operator) 55 56 ! !! Classic operator (Madec) 48 57 REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: uslp, wslpi !: i_slope at U- and W-points 49 58 REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: vslp, wslpj !: j-slope at V- and W-points 50 ! !! Griffies operator59 ! !! triad operator (Griffies) 51 60 REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: wslp2 !: wslp**2 from Griffies quarter cells 52 61 REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:,:,:) :: triadi_g, triadj_g !: skew flux slopes relative to geopotentials 53 62 REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:,:,:) :: triadi , triadj !: isoneutral slopes relative to model-coordinate 54 55 ! !! Madec operator 56 ! Arrays allocated in ldf_slp_init() routine once we know whether we're using the Griffies or Madec operator 63 ! !! both operators 64 REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ah_wslp2 !: ah * slope^2 at w-point 65 REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: akz !: stabilizing vertical diffusivity 66 67 ! !! Madec operator 57 68 REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: omlmask ! mask of the surface mixed layer at T-pt 58 69 REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: uslpml, wslpiml ! i_slope at U- and W-points just below the mixed layer … … 63 74 !! * Substitutions 64 75 # include "domzgr_substitute.h90" 65 # include "ldftra_substitute.h90"66 # include "ldfeiv_substitute.h90"67 76 # include "vectopt_loop_substitute.h90" 68 77 !!---------------------------------------------------------------------- 69 !! NEMO/OPA 4.0 , NEMO Consortium (201 1)78 !! NEMO/OPA 4.0 , NEMO Consortium (2014) 70 79 !! $Id$ 71 80 !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) … … 105 114 INTEGER :: ii0, ii1, iku ! temporary integer 106 115 INTEGER :: ij0, ij1, ikv ! temporary integer 107 REAL(wp) :: zeps, zm1_g, zm1_2g, z1_16, zcofw ! local scalars116 REAL(wp) :: zeps, zm1_g, zm1_2g, z1_16, zcofw, z1_slpmax ! local scalars 108 117 REAL(wp) :: zci, zfi, zau, zbu, zai, zbi ! - - 109 118 REAL(wp) :: zcj, zfj, zav, zbv, zaj, zbj ! - - 110 119 REAL(wp) :: zck, zfk, zbw ! - - 111 REAL(wp) :: zdepv, zdepu ! - -112 120 REAL(wp), POINTER, DIMENSION(:,:,:) :: zwz, zww 113 121 REAL(wp), POINTER, DIMENSION(:,:,:) :: zdzr 114 122 REAL(wp), POINTER, DIMENSION(:,:,:) :: zgru, zgrv 115 REAL(wp), POINTER, DIMENSION(:,: ) :: zhmlpu, zhmlpv116 123 !!---------------------------------------------------------------------- 117 124 ! … … 119 126 ! 120 127 CALL wrk_alloc( jpi,jpj,jpk, zwz, zww, zdzr, zgru, zgrv ) 121 CALL wrk_alloc( jpi,jpj, zhmlpu, zhmlpv ) 122 123 IF ( ln_traldf_iso .OR. ln_dynldf_iso ) THEN 124 125 zeps = 1.e-20_wp !== Local constant initialization ==! 126 z1_16 = 1.0_wp / 16._wp 127 zm1_g = -1.0_wp / grav 128 zm1_2g = -0.5_wp / grav 129 ! 130 zww(:,:,:) = 0._wp 131 zwz(:,:,:) = 0._wp 132 ! 133 DO jk = 1, jpk !== i- & j-gradient of density ==! 134 DO jj = 1, jpjm1 135 DO ji = 1, fs_jpim1 ! vector opt. 136 zgru(ji,jj,jk) = umask(ji,jj,jk) * ( prd(ji+1,jj ,jk) - prd(ji,jj,jk) ) 137 zgrv(ji,jj,jk) = vmask(ji,jj,jk) * ( prd(ji ,jj+1,jk) - prd(ji,jj,jk) ) 138 END DO 139 END DO 140 END DO 141 IF( ln_zps ) THEN ! partial steps correction at the bottom ocean level 142 DO jj = 1, jpjm1 143 DO ji = 1, jpim1 144 zgru(ji,jj,mbku(ji,jj)) = gru(ji,jj) 145 zgrv(ji,jj,mbkv(ji,jj)) = grv(ji,jj) 146 END DO 147 END DO 148 ENDIF 149 IF( ln_zps .AND. ln_isfcav ) THEN ! partial steps correction at the bottom ocean level 150 DO jj = 1, jpjm1 151 DO ji = 1, jpim1 152 IF ( miku(ji,jj) > 1 ) zgru(ji,jj,miku(ji,jj)) = grui(ji,jj) 153 IF ( mikv(ji,jj) > 1 ) zgrv(ji,jj,mikv(ji,jj)) = grvi(ji,jj) 154 END DO 155 END DO 156 ENDIF 157 ! 158 !== Local vertical density gradient at T-point == ! (evaluated from N^2) 159 ! interior value 160 DO jk = 2, jpkm1 161 ! ! zdzr = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point 162 ! ! trick: tmask(ik ) = 0 => all pn2 = 0 => zdzr = 0 163 ! ! else tmask(ik+1) = 0 => pn2(ik+1) = 0 => zdzr divides by 1 164 ! ! umask(ik+1) /= 0 => all pn2 /= 0 => zdzr divides by 2 165 ! ! NB: 1/(tmask+1) = (1-.5*tmask) substitute a / by a * ==> faster 166 zdzr(:,:,jk) = zm1_g * ( prd(:,:,jk) + 1._wp ) & 167 & * ( pn2(:,:,jk) + pn2(:,:,jk+1) ) * ( 1._wp - 0.5_wp * tmask(:,:,jk+1) ) 168 END DO 169 ! surface initialisation 170 zdzr(:,:,1) = 0._wp 171 IF ( ln_isfcav ) THEN 172 ! if isf need to overwrite the interior value at at the first ocean point 173 DO jj = 1, jpjm1 174 DO ji = 1, jpim1 175 zdzr(ji,jj,1:mikt(ji,jj)) = 0._wp 176 END DO 177 END DO 178 END IF 179 ! 180 ! !== Slopes just below the mixed layer ==! 181 CALL ldf_slp_mxl( prd, pn2, zgru, zgrv, zdzr ) ! output: uslpml, vslpml, wslpiml, wslpjml 182 183 184 ! I. slopes at u and v point | uslp = d/di( prd ) / d/dz( prd ) 185 ! =========================== | vslp = d/dj( prd ) / d/dz( prd ) 186 ! 187 IF ( ln_isfcav ) THEN 188 DO jj = 2, jpjm1 189 DO ji = fs_2, fs_jpim1 ! vector opt. 190 IF (miku(ji,jj) .GT. miku(ji+1,jj)) zhmlpu(ji,jj) = MAX(hmlpt(ji ,jj ), 5._wp) 191 IF (miku(ji,jj) .LT. miku(ji+1,jj)) zhmlpu(ji,jj) = MAX(hmlpt(ji+1,jj ), 5._wp) 192 IF (miku(ji,jj) .EQ. miku(ji+1,jj)) zhmlpu(ji,jj) = MAX(hmlpt(ji ,jj ), hmlpt(ji+1,jj ), 5._wp) 193 IF (mikv(ji,jj) .GT. miku(ji,jj+1)) zhmlpv(ji,jj) = MAX(hmlpt(ji ,jj ), 5._wp) 194 IF (mikv(ji,jj) .LT. miku(ji,jj+1)) zhmlpv(ji,jj) = MAX(hmlpt(ji ,jj+1), 5._wp) 195 IF (mikv(ji,jj) .EQ. miku(ji,jj+1)) zhmlpv(ji,jj) = MAX(hmlpt(ji ,jj ), hmlpt(ji ,jj+1), 5._wp) 196 ENDDO 197 ENDDO 198 ELSE 199 DO jj = 2, jpjm1 200 DO ji = fs_2, fs_jpim1 ! vector opt. 201 zhmlpu(ji,jj) = MAX(hmlpt(ji,jj), hmlpt(ji+1,jj ), 5._wp) 202 zhmlpv(ji,jj) = MAX(hmlpt(ji,jj), hmlpt(ji ,jj+1), 5._wp) 203 ENDDO 204 ENDDO 205 END IF 206 DO jk = 2, jpkm1 !* Slopes at u and v points 207 DO jj = 2, jpjm1 208 DO ji = fs_2, fs_jpim1 ! vector opt. 209 ! ! horizontal and vertical density gradient at u- and v-points 210 zau = zgru(ji,jj,jk) / e1u(ji,jj) 211 zav = zgrv(ji,jj,jk) / e2v(ji,jj) 212 zbu = 0.5_wp * ( zdzr(ji,jj,jk) + zdzr(ji+1,jj ,jk) ) 213 zbv = 0.5_wp * ( zdzr(ji,jj,jk) + zdzr(ji ,jj+1,jk) ) 214 ! ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 215 ! ! + kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) 216 zbu = MIN( zbu, -100._wp* ABS( zau ) , -7.e+3_wp/fse3u(ji,jj,jk)* ABS( zau ) ) 217 zbv = MIN( zbv, -100._wp* ABS( zav ) , -7.e+3_wp/fse3v(ji,jj,jk)* ABS( zav ) ) 218 ! ! uslp and vslp output in zwz and zww, resp. 219 zfi = MAX( omlmask(ji,jj,jk), omlmask(ji+1,jj ,jk) ) 220 zfj = MAX( omlmask(ji,jj,jk), omlmask(ji ,jj+1,jk) ) 221 ! thickness of water column between surface and level k at u/v point 222 zdepu = 0.5_wp * ( ( fsdept(ji,jj,jk) + fsdept(ji+1,jj ,jk) ) & 223 - 2 * MAX( risfdep(ji,jj), risfdep(ji+1,jj ) ) - fse3u(ji,jj,miku(ji,jj)) ) 224 zdepv = 0.5_wp * ( ( fsdept(ji,jj,jk) + fsdept(ji ,jj+1,jk) ) & 225 - 2 * MAX( risfdep(ji,jj), risfdep(ji ,jj+1) ) - fse3v(ji,jj,mikv(ji,jj)) ) 226 ! 227 zwz(ji,jj,jk) = ( 1. - zfi) * zau / ( zbu - zeps ) & 228 & + zfi * uslpml(ji,jj) * zdepu / zhmlpu(ji,jj) 229 zwz(ji,jj,jk) = zwz(ji,jj,jk) * wumask(ji,jj,jk) 230 zww(ji,jj,jk) = ( 1. - zfj) * zav / ( zbv - zeps ) & 231 & + zfj * vslpml(ji,jj) * zdepv / zhmlpv(ji,jj) 232 zww(ji,jj,jk) = zww(ji,jj,jk) * wvmask(ji,jj,jk) 233 234 128 129 zeps = 1.e-20_wp !== Local constant initialization ==! 130 z1_16 = 1.0_wp / 16._wp 131 zm1_g = -1.0_wp / grav 132 zm1_2g = -0.5_wp / grav 133 z1_slpmax = 1._wp / rn_slpmax 134 ! 135 zww(:,:,:) = 0._wp 136 zwz(:,:,:) = 0._wp 137 ! 138 DO jk = 1, jpk !== i- & j-gradient of density ==! 139 DO jj = 1, jpjm1 140 DO ji = 1, fs_jpim1 ! vector opt. 141 zgru(ji,jj,jk) = umask(ji,jj,jk) * ( prd(ji+1,jj ,jk) - prd(ji,jj,jk) ) 142 zgrv(ji,jj,jk) = vmask(ji,jj,jk) * ( prd(ji ,jj+1,jk) - prd(ji,jj,jk) ) 143 END DO 144 END DO 145 END DO 146 IF( ln_zps ) THEN ! partial steps correction at the bottom ocean level 147 DO jj = 1, jpjm1 148 DO ji = 1, jpim1 149 zgru(ji,jj,mbku(ji,jj)) = gru(ji,jj) 150 zgrv(ji,jj,mbkv(ji,jj)) = grv(ji,jj) 151 END DO 152 END DO 153 ENDIF 154 ! 155 zdzr(:,:,1) = 0._wp !== Local vertical density gradient at T-point == ! (evaluated from N^2) 156 DO jk = 2, jpkm1 157 ! ! zdzr = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point 158 ! ! trick: tmask(ik ) = 0 => all pn2 = 0 => zdzr = 0 159 ! ! else tmask(ik+1) = 0 => pn2(ik+1) = 0 => zdzr divides by 1 160 ! ! umask(ik+1) /= 0 => all pn2 /= 0 => zdzr divides by 2 161 ! ! NB: 1/(tmask+1) = (1-.5*tmask) substitute a / by a * ==> faster 162 zdzr(:,:,jk) = zm1_g * ( prd(:,:,jk) + 1._wp ) & 163 & * ( pn2(:,:,jk) + pn2(:,:,jk+1) ) * ( 1._wp - 0.5_wp * tmask(:,:,jk+1) ) 164 END DO 165 ! 166 ! !== Slopes just below the mixed layer ==! 167 CALL ldf_slp_mxl( prd, pn2, zgru, zgrv, zdzr ) ! output: uslpml, vslpml, wslpiml, wslpjml 168 169 170 ! I. slopes at u and v point | uslp = d/di( prd ) / d/dz( prd ) 171 ! =========================== | vslp = d/dj( prd ) / d/dz( prd ) 172 ! 173 DO jk = 2, jpkm1 !* Slopes at u and v points 174 DO jj = 2, jpjm1 175 DO ji = fs_2, fs_jpim1 ! vector opt. 176 ! ! horizontal and vertical density gradient at u- and v-points 177 zau = zgru(ji,jj,jk) * r1_e1u(ji,jj) 178 zav = zgrv(ji,jj,jk) * r1_e2v(ji,jj) 179 zbu = 0.5_wp * ( zdzr(ji,jj,jk) + zdzr(ji+1,jj ,jk) ) 180 zbv = 0.5_wp * ( zdzr(ji,jj,jk) + zdzr(ji ,jj+1,jk) ) 181 ! ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 182 ! ! + kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) 183 zbu = MIN( zbu, - z1_slpmax * ABS( zau ) , -7.e+3_wp/fse3u(ji,jj,jk)* ABS( zau ) ) 184 zbv = MIN( zbv, - z1_slpmax * ABS( zav ) , -7.e+3_wp/fse3v(ji,jj,jk)* ABS( zav ) ) 185 ! ! uslp and vslp output in zwz and zww, resp. 186 zfi = MAX( omlmask(ji,jj,jk), omlmask(ji+1,jj,jk) ) 187 zfj = MAX( omlmask(ji,jj,jk), omlmask(ji,jj+1,jk) ) 188 zwz(ji,jj,jk) = ( ( 1. - zfi) * zau / ( zbu - zeps ) & 189 & + zfi * uslpml(ji,jj) & 190 & * 0.5_wp * ( fsdept(ji+1,jj,jk)+fsdept(ji,jj,jk)-fse3u(ji,jj,1) ) & 191 & / MAX( hmlpt(ji,jj), hmlpt(ji+1,jj), 5._wp ) ) * umask(ji,jj,jk) 192 zww(ji,jj,jk) = ( ( 1. - zfj) * zav / ( zbv - zeps ) & 193 & + zfj * vslpml(ji,jj) & 194 & * 0.5_wp * ( fsdept(ji,jj+1,jk)+fsdept(ji,jj,jk)-fse3v(ji,jj,1) ) & 195 & / MAX( hmlpt(ji,jj), hmlpt(ji,jj+1), 5. ) ) * vmask(ji,jj,jk) 235 196 !!gm modif to suppress omlmask.... (as in Griffies case) 236 ! 237 ! 238 ! 239 ! 240 ! 241 ! 242 ! 197 ! ! ! jk must be >= ML level for zf=1. otherwise zf=0. 198 ! zfi = REAL( 1 - 1/(1 + jk / MAX( nmln(ji+1,jj), nmln(ji,jj) ) ), wp ) 199 ! zfj = REAL( 1 - 1/(1 + jk / MAX( nmln(ji,jj+1), nmln(ji,jj) ) ), wp ) 200 ! zci = 0.5 * ( fsdept(ji+1,jj,jk)+fsdept(ji,jj,jk) ) / MAX( hmlpt(ji,jj), hmlpt(ji+1,jj), 10. ) ) 201 ! zcj = 0.5 * ( fsdept(ji,jj+1,jk)+fsdept(ji,jj,jk) ) / MAX( hmlpt(ji,jj), hmlpt(ji,jj+1), 10. ) ) 202 ! zwz(ji,jj,jk) = ( zfi * zai / ( zbi - zeps ) + ( 1._wp - zfi ) * wslpiml(ji,jj) * zci ) * tmask(ji,jj,jk) 203 ! zww(ji,jj,jk) = ( zfj * zaj / ( zbj - zeps ) + ( 1._wp - zfj ) * wslpjml(ji,jj) * zcj ) * tmask(ji,jj,jk) 243 204 !!gm end modif 244 END DO 245 END DO 246 END DO 247 CALL lbc_lnk( zwz, 'U', -1. ) ; CALL lbc_lnk( zww, 'V', -1. ) ! lateral boundary conditions 248 ! 249 ! !* horizontal Shapiro filter 250 DO jk = 2, jpkm1 251 DO jj = 2, jpjm1, MAX(1, jpj-3) ! rows jj=2 and =jpjm1 only 252 DO ji = 2, jpim1 253 uslp(ji,jj,jk) = z1_16 * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & 254 & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & 255 & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & 256 & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & 257 & + 4.* zwz(ji ,jj ,jk) ) 258 vslp(ji,jj,jk) = z1_16 * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & 259 & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & 260 & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & 261 & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & 262 & + 4.* zww(ji,jj ,jk) ) 263 END DO 264 END DO 265 DO jj = 3, jpj-2 ! other rows 266 DO ji = fs_2, fs_jpim1 ! vector opt. 267 uslp(ji,jj,jk) = z1_16 * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & 268 & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & 269 & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & 270 & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & 271 & + 4.* zwz(ji ,jj ,jk) ) 272 vslp(ji,jj,jk) = z1_16 * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & 273 & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & 274 & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & 275 & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & 276 & + 4.* zww(ji,jj ,jk) ) 277 END DO 278 END DO 279 ! !* decrease along coastal boundaries 280 DO jj = 2, jpjm1 281 DO ji = fs_2, fs_jpim1 ! vector opt. 282 uslp(ji,jj,jk) = uslp(ji,jj,jk) * ( umask(ji,jj+1,jk) + umask(ji,jj-1,jk ) ) * 0.5_wp & 283 & * ( umask(ji,jj ,jk) + umask(ji,jj ,jk+1) ) * 0.5_wp & 284 & * umask(ji,jj,jk-1) 285 vslp(ji,jj,jk) = vslp(ji,jj,jk) * ( vmask(ji+1,jj,jk) + vmask(ji-1,jj,jk ) ) * 0.5_wp & 286 & * ( vmask(ji ,jj,jk) + vmask(ji ,jj,jk+1) ) * 0.5_wp & 287 & * vmask(ji,jj,jk-1) 288 END DO 289 END DO 290 END DO 291 292 293 ! II. slopes at w point | wslpi = mij( d/di( prd ) / d/dz( prd ) 294 ! =========================== | wslpj = mij( d/dj( prd ) / d/dz( prd ) 295 ! 296 DO jk = 2, jpkm1 297 DO jj = 2, jpjm1 298 DO ji = fs_2, fs_jpim1 ! vector opt. 299 ! !* Local vertical density gradient evaluated from N^2 300 zbw = zm1_2g * pn2 (ji,jj,jk) * ( prd (ji,jj,jk) + prd (ji,jj,jk-1) + 2. ) * wmask(ji,jj,jk) 301 ! !* Slopes at w point 302 ! ! i- & j-gradient of density at w-points 303 zci = MAX( umask(ji-1,jj,jk ) + umask(ji,jj,jk ) & 304 & + umask(ji-1,jj,jk-1) + umask(ji,jj,jk-1) , zeps ) * e1t(ji,jj) 305 zcj = MAX( vmask(ji,jj-1,jk ) + vmask(ji,jj,jk-1) & 306 & + vmask(ji,jj-1,jk-1) + vmask(ji,jj,jk ) , zeps ) * e2t(ji,jj) 307 zai = ( zgru (ji-1,jj,jk ) + zgru (ji,jj,jk-1) & 308 & + zgru (ji-1,jj,jk-1) + zgru (ji,jj,jk ) ) / zci 309 zaj = ( zgrv (ji,jj-1,jk ) + zgrv (ji,jj,jk-1) & 310 & + zgrv (ji,jj-1,jk-1) + zgrv (ji,jj,jk ) ) / zcj 311 ! ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. 312 ! ! + kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) 313 zbi = MIN( zbw ,- 100._wp* ABS( zai ) , -7.e+3_wp/fse3w(ji,jj,jk)* ABS( zai ) ) 314 zbj = MIN( zbw , -100._wp* ABS( zaj ) , -7.e+3_wp/fse3w(ji,jj,jk)* ABS( zaj ) ) 315 ! ! wslpi and wslpj with ML flattening (output in zwz and zww, resp.) 316 zfk = MAX( omlmask(ji,jj,jk), omlmask(ji,jj,jk-1) ) ! zfk=1 in the ML otherwise zfk=0 317 zck = ( fsdepw(ji,jj,jk) - fsdepw(ji,jj,mikt(ji,jj) ) ) / MAX( hmlp(ji,jj), 10._wp ) 318 zwz(ji,jj,jk) = ( zai / ( zbi - zeps ) * ( 1._wp - zfk ) & 319 & + zck * wslpiml(ji,jj) * zfk ) * wmask(ji,jj,jk) 320 zww(ji,jj,jk) = ( zaj / ( zbj - zeps ) * ( 1._wp - zfk ) & 321 & + zck * wslpjml(ji,jj) * zfk ) * wmask(ji,jj,jk) 205 END DO 206 END DO 207 END DO 208 CALL lbc_lnk( zwz, 'U', -1. ) ; CALL lbc_lnk( zww, 'V', -1. ) ! lateral boundary conditions 209 ! 210 ! !* horizontal Shapiro filter 211 DO jk = 2, jpkm1 212 DO jj = 2, jpjm1, MAX(1, jpj-3) ! rows jj=2 and =jpjm1 only 213 DO ji = 2, jpim1 214 uslp(ji,jj,jk) = z1_16 * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & 215 & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & 216 & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & 217 & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & 218 & + 4.* zwz(ji ,jj ,jk) ) 219 vslp(ji,jj,jk) = z1_16 * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & 220 & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & 221 & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & 222 & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & 223 & + 4.* zww(ji,jj ,jk) ) 224 END DO 225 END DO 226 DO jj = 3, jpj-2 ! other rows 227 DO ji = fs_2, fs_jpim1 ! vector opt. 228 uslp(ji,jj,jk) = z1_16 * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & 229 & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & 230 & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & 231 & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & 232 & + 4.* zwz(ji ,jj ,jk) ) 233 vslp(ji,jj,jk) = z1_16 * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & 234 & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & 235 & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & 236 & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & 237 & + 4.* zww(ji,jj ,jk) ) 238 END DO 239 END DO 240 ! !* decrease along coastal boundaries 241 DO jj = 2, jpjm1 242 DO ji = fs_2, fs_jpim1 ! vector opt. 243 uslp(ji,jj,jk) = uslp(ji,jj,jk) * ( umask(ji,jj+1,jk) + umask(ji,jj-1,jk ) ) * 0.5_wp & 244 & * ( umask(ji,jj ,jk) + umask(ji,jj ,jk+1) ) * 0.5_wp 245 vslp(ji,jj,jk) = vslp(ji,jj,jk) * ( vmask(ji+1,jj,jk) + vmask(ji-1,jj,jk ) ) * 0.5_wp & 246 & * ( vmask(ji ,jj,jk) + vmask(ji ,jj,jk+1) ) * 0.5_wp 247 END DO 248 END DO 249 END DO 250 251 252 ! II. slopes at w point | wslpi = mij( d/di( prd ) / d/dz( prd ) 253 ! =========================== | wslpj = mij( d/dj( prd ) / d/dz( prd ) 254 ! 255 DO jk = 2, jpkm1 256 DO jj = 2, jpjm1 257 DO ji = fs_2, fs_jpim1 ! vector opt. 258 ! !* Local vertical density gradient evaluated from N^2 259 zbw = zm1_2g * pn2 (ji,jj,jk) * ( prd (ji,jj,jk) + prd (ji,jj,jk-1) + 2. ) 260 ! !* Slopes at w point 261 ! ! i- & j-gradient of density at w-points 262 zci = MAX( umask(ji-1,jj,jk ) + umask(ji,jj,jk ) & 263 & + umask(ji-1,jj,jk-1) + umask(ji,jj,jk-1) , zeps ) * e1t(ji,jj) 264 zcj = MAX( vmask(ji,jj-1,jk ) + vmask(ji,jj,jk-1) & 265 & + vmask(ji,jj-1,jk-1) + vmask(ji,jj,jk ) , zeps ) * e2t(ji,jj) 266 zai = ( zgru (ji-1,jj,jk ) + zgru (ji,jj,jk-1) & 267 & + zgru (ji-1,jj,jk-1) + zgru (ji,jj,jk ) ) / zci * tmask (ji,jj,jk) 268 zaj = ( zgrv (ji,jj-1,jk ) + zgrv (ji,jj,jk-1) & 269 & + zgrv (ji,jj-1,jk-1) + zgrv (ji,jj,jk ) ) / zcj * tmask (ji,jj,jk) 270 ! ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. 271 ! ! + kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) 272 zbi = MIN( zbw ,- 100._wp* ABS( zai ) , -7.e+3_wp/fse3w(ji,jj,jk)* ABS( zai ) ) 273 zbj = MIN( zbw , -100._wp* ABS( zaj ) , -7.e+3_wp/fse3w(ji,jj,jk)* ABS( zaj ) ) 274 ! ! wslpi and wslpj with ML flattening (output in zwz and zww, resp.) 275 zfk = MAX( omlmask(ji,jj,jk), omlmask(ji,jj,jk-1) ) ! zfk=1 in the ML otherwise zfk=0 276 zck = fsdepw(ji,jj,jk) / MAX( hmlp(ji,jj), 10._wp ) 277 zwz(ji,jj,jk) = ( zai / ( zbi - zeps ) * ( 1._wp - zfk ) + zck * wslpiml(ji,jj) * zfk ) * tmask(ji,jj,jk) 278 zww(ji,jj,jk) = ( zaj / ( zbj - zeps ) * ( 1._wp - zfk ) + zck * wslpjml(ji,jj) * zfk ) * tmask(ji,jj,jk) 322 279 323 280 !!gm modif to suppress omlmask.... (as in Griffies operator) 324 ! 325 ! 326 ! 327 ! 328 ! 281 ! ! ! jk must be >= ML level for zfk=1. otherwise zfk=0. 282 ! zfk = REAL( 1 - 1/(1 + jk / nmln(ji+1,jj)), wp ) 283 ! zck = fsdepw(ji,jj,jk) / MAX( hmlp(ji,jj), 10. ) 284 ! zwz(ji,jj,jk) = ( zfk * zai / ( zbi - zeps ) + ( 1._wp - zfk ) * wslpiml(ji,jj) * zck ) * tmask(ji,jj,jk) 285 ! zww(ji,jj,jk) = ( zfk * zaj / ( zbj - zeps ) + ( 1._wp - zfk ) * wslpjml(ji,jj) * zck ) * tmask(ji,jj,jk) 329 286 !!gm end modif 330 END DO 331 END DO 332 END DO 333 CALL lbc_lnk( zwz, 'T', -1. ) ; CALL lbc_lnk( zww, 'T', -1. ) ! lateral boundary conditions 334 ! 335 ! !* horizontal Shapiro filter 336 DO jk = 2, jpkm1 337 DO jj = 2, jpjm1, MAX(1, jpj-3) ! rows jj=2 and =jpjm1 only 338 DO ji = 2, jpim1 339 zcofw = tmask(ji,jj,jk) * z1_16 340 wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & 341 & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & 342 & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & 343 & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & 344 & + 4.* zwz(ji ,jj ,jk) ) * zcofw 345 346 wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & 347 & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & 348 & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & 349 & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & 350 & + 4.* zww(ji ,jj ,jk) ) * zcofw 351 END DO 352 END DO 353 DO jj = 3, jpj-2 ! other rows 354 DO ji = fs_2, fs_jpim1 ! vector opt. 355 zcofw = tmask(ji,jj,jk) * z1_16 356 wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & 357 & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & 358 & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & 359 & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & 360 & + 4.* zwz(ji ,jj ,jk) ) * zcofw 361 362 wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & 363 & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & 364 & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & 365 & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & 366 & + 4.* zww(ji ,jj ,jk) ) * zcofw 367 END DO 368 END DO 369 ! !* decrease along coastal boundaries 370 DO jj = 2, jpjm1 371 DO ji = fs_2, fs_jpim1 ! vector opt. 372 zck = ( umask(ji,jj,jk) + umask(ji-1,jj,jk) ) & 373 & * ( vmask(ji,jj,jk) + vmask(ji,jj-1,jk) ) * 0.25 374 wslpi(ji,jj,jk) = wslpi(ji,jj,jk) * zck * wmask(ji,jj,jk) 375 wslpj(ji,jj,jk) = wslpj(ji,jj,jk) * zck * wmask(ji,jj,jk) 376 END DO 377 END DO 378 END DO 379 380 ! III. Specific grid points 381 ! =========================== 382 ! 383 IF( cp_cfg == "orca" .AND. jp_cfg == 4 ) THEN ! ORCA_R4 configuration: horizontal diffusion in specific area 384 ! ! Gibraltar Strait 385 ij0 = 50 ; ij1 = 53 386 ii0 = 69 ; ii1 = 71 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0._wp 387 ij0 = 51 ; ij1 = 53 388 ii0 = 68 ; ii1 = 71 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0._wp 389 ii0 = 69 ; ii1 = 71 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0._wp 390 ii0 = 69 ; ii1 = 71 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0._wp 391 ! 392 ! ! Mediterrannean Sea 393 ij0 = 49 ; ij1 = 56 394 ii0 = 71 ; ii1 = 90 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0._wp 395 ij0 = 50 ; ij1 = 56 396 ii0 = 70 ; ii1 = 90 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0._wp 397 ii0 = 71 ; ii1 = 90 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0._wp 398 ii0 = 71 ; ii1 = 90 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0._wp 399 ENDIF 400 401 402 ! IV. Lateral boundary conditions 403 ! =============================== 404 CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) 405 CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) 406 407 408 IF(ln_ctl) THEN 409 CALL prt_ctl(tab3d_1=uslp , clinfo1=' slp - u : ', tab3d_2=vslp, clinfo2=' v : ', kdim=jpk) 410 CALL prt_ctl(tab3d_1=wslpi, clinfo1=' slp - wi: ', tab3d_2=wslpj, clinfo2=' wj: ', kdim=jpk) 411 ENDIF 412 ! 413 414 ELSEIF ( lk_vvl ) THEN 415 416 IF(lwp) THEN 417 WRITE(numout,*) ' Horizontal mixing in s-coordinate: slope = slope of s-surfaces' 418 ENDIF 419 420 ! geopotential diffusion in s-coordinates on tracers and/or momentum 421 ! The slopes of s-surfaces are computed at each time step due to vvl 422 ! The slopes for momentum diffusion are i- or j- averaged of those on tracers 423 424 ! set the slope of diffusion to the slope of s-surfaces 425 ! ( c a u t i o n : minus sign as fsdep has positive value ) 426 DO jj = 2, jpjm1 427 DO ji = fs_2, fs_jpim1 ! vector opt. 428 uslp(ji,jj,1) = -1./e1u(ji,jj) * ( fsdept_b(ji+1,jj,1) - fsdept_b(ji ,jj ,1) ) * umask(ji,jj,1) 429 vslp(ji,jj,1) = -1./e2v(ji,jj) * ( fsdept_b(ji,jj+1,1) - fsdept_b(ji ,jj ,1) ) * vmask(ji,jj,1) 430 wslpi(ji,jj,1) = -1./e1t(ji,jj) * ( fsdepw_b(ji+1,jj,1) - fsdepw_b(ji-1,jj,1) ) * tmask(ji,jj,1) * 0.5 431 wslpj(ji,jj,1) = -1./e2t(ji,jj) * ( fsdepw_b(ji,jj+1,1) - fsdepw_b(ji,jj-1,1) ) * tmask(ji,jj,1) * 0.5 432 END DO 433 END DO 434 435 DO jk = 2, jpk 436 DO jj = 2, jpjm1 437 DO ji = fs_2, fs_jpim1 ! vector opt. 438 uslp(ji,jj,jk) = -1./e1u(ji,jj) * ( fsdept_b(ji+1,jj,jk) - fsdept_b(ji ,jj ,jk) ) * umask(ji,jj,jk) 439 vslp(ji,jj,jk) = -1./e2v(ji,jj) * ( fsdept_b(ji,jj+1,jk) - fsdept_b(ji ,jj ,jk) ) * vmask(ji,jj,jk) 440 wslpi(ji,jj,jk) = -1./e1t(ji,jj) * ( fsdepw_b(ji+1,jj,jk) - fsdepw_b(ji-1,jj,jk) ) & 441 & * wmask(ji,jj,jk) * 0.5 442 wslpj(ji,jj,jk) = -1./e2t(ji,jj) * ( fsdepw_b(ji,jj+1,jk) - fsdepw_b(ji,jj-1,jk) ) & 443 & * wmask(ji,jj,jk) * 0.5 444 END DO 445 END DO 446 END DO 447 448 ! Lateral boundary conditions on the slopes 449 CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) 450 CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) 451 452 if( kt == nit000 ) then 453 IF(lwp) WRITE(numout,*) ' max slop: u',SQRT( MAXVAL(uslp*uslp)), ' v ', SQRT(MAXVAL(vslp)), & 454 & ' wi', sqrt(MAXVAL(wslpi)), ' wj', sqrt(MAXVAL(wslpj)) 455 endif 456 457 IF(ln_ctl) THEN 458 CALL prt_ctl(tab3d_1=uslp , clinfo1=' slp - u : ', tab3d_2=vslp, clinfo2=' v : ', kdim=jpk) 459 CALL prt_ctl(tab3d_1=wslpi, clinfo1=' slp - wi: ', tab3d_2=wslpj, clinfo2=' wj: ', kdim=jpk) 460 ENDIF 461 287 END DO 288 END DO 289 END DO 290 CALL lbc_lnk( zwz, 'T', -1. ) ; CALL lbc_lnk( zww, 'T', -1. ) ! lateral boundary conditions 291 ! 292 ! !* horizontal Shapiro filter 293 DO jk = 2, jpkm1 294 DO jj = 2, jpjm1, MAX(1, jpj-3) ! rows jj=2 and =jpjm1 only 295 DO ji = 2, jpim1 296 zcofw = wmask(ji,jj,jk) * z1_16 297 wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & 298 & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & 299 & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & 300 & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & 301 & + 4.* zwz(ji ,jj ,jk) ) * zcofw 302 303 wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & 304 & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & 305 & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & 306 & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & 307 & + 4.* zww(ji ,jj ,jk) ) * zcofw 308 END DO 309 END DO 310 DO jj = 3, jpj-2 ! other rows 311 DO ji = fs_2, fs_jpim1 ! vector opt. 312 zcofw = wmask(ji,jj,jk) * z1_16 313 wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & 314 & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & 315 & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & 316 & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & 317 & + 4.* zwz(ji ,jj ,jk) ) * zcofw 318 319 wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & 320 & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & 321 & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & 322 & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & 323 & + 4.* zww(ji ,jj ,jk) ) * zcofw 324 END DO 325 END DO 326 ! !* decrease in vicinity of topography 327 DO jj = 2, jpjm1 328 DO ji = fs_2, fs_jpim1 ! vector opt. 329 zck = ( umask(ji,jj,jk) + umask(ji-1,jj,jk) ) & 330 & * ( vmask(ji,jj,jk) + vmask(ji,jj-1,jk) ) * 0.25 331 wslpi(ji,jj,jk) = wslpi(ji,jj,jk) * zck 332 wslpj(ji,jj,jk) = wslpj(ji,jj,jk) * zck 333 END DO 334 END DO 335 END DO 336 337 ! IV. Lateral boundary conditions 338 ! =============================== 339 CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) 340 CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) 341 342 343 IF(ln_ctl) THEN 344 CALL prt_ctl(tab3d_1=uslp , clinfo1=' slp - u : ', tab3d_2=vslp, clinfo2=' v : ', kdim=jpk) 345 CALL prt_ctl(tab3d_1=wslpi, clinfo1=' slp - wi: ', tab3d_2=wslpj, clinfo2=' wj: ', kdim=jpk) 462 346 ENDIF 463 347 ! 464 348 CALL wrk_dealloc( jpi,jpj,jpk, zwz, zww, zdzr, zgru, zgrv ) 465 CALL wrk_dealloc( jpi,jpj, zhmlpu, zhmlpv)466 349 ! 467 350 IF( nn_timing == 1 ) CALL timing_stop('ldf_slp') … … 470 353 471 354 472 SUBROUTINE ldf_slp_ grif( kt )473 !!---------------------------------------------------------------------- 474 !! *** ROUTINE ldf_slp_ grif***355 SUBROUTINE ldf_slp_triad ( kt ) 356 !!---------------------------------------------------------------------- 357 !! *** ROUTINE ldf_slp_triad *** 475 358 !! 476 359 !! ** Purpose : Compute the squared slopes of neutral surfaces (slope 477 !! of iso-pycnal surfaces referenced locally) (ln_traldf_ grif=T)360 !! of iso-pycnal surfaces referenced locally) (ln_traldf_triad=T) 478 361 !! at W-points using the Griffies quarter-cells. 479 362 !! … … 490 373 REAL(wp) :: zfacti, zfactj ! local scalars 491 374 REAL(wp) :: znot_thru_surface ! local scalars 492 REAL(wp) :: zdit, zdis, zdjt, zdjs, zdkt, zdks, zbu, zbv, zbti, zbtj 375 REAL(wp) :: zdit, zdis, zdkt, zbu, zbti, zisw 376 REAL(wp) :: zdjt, zdjs, zdks, zbv, zbtj, zjsw 493 377 REAL(wp) :: zdxrho_raw, zti_coord, zti_raw, zti_lim, zti_g_raw, zti_g_lim 494 378 REAL(wp) :: zdyrho_raw, ztj_coord, ztj_raw, ztj_lim, ztj_g_raw, ztj_g_lim 495 379 REAL(wp) :: zdzrho_raw 380 REAL(wp) :: zbeta0, ze3_e1, ze3_e2 496 381 REAL(wp), POINTER, DIMENSION(:,:) :: z1_mlbw 382 REAL(wp), POINTER, DIMENSION(:,:,:) :: zalbet 497 383 REAL(wp), POINTER, DIMENSION(:,:,:,:) :: zdxrho , zdyrho, zdzrho ! Horizontal and vertical density gradients 498 384 REAL(wp), POINTER, DIMENSION(:,:,:,:) :: zti_mlb, ztj_mlb ! for Griffies operator only 499 385 !!---------------------------------------------------------------------- 500 386 ! 501 IF( nn_timing == 1 ) CALL timing_start('ldf_slp_ grif')387 IF( nn_timing == 1 ) CALL timing_start('ldf_slp_triad') 502 388 ! 503 389 CALL wrk_alloc( jpi,jpj, z1_mlbw ) 390 CALL wrk_alloc( jpi,jpj,jpk, zalbet ) 504 391 CALL wrk_alloc( jpi,jpj,jpk,2, zdxrho , zdyrho, zdzrho, klstart = 0 ) 505 392 CALL wrk_alloc( jpi,jpj, 2,2, zti_mlb, ztj_mlb, kkstart = 0, klstart = 0 ) … … 519 406 zdjt = ( tsb(ji,jj+1,jk,jp_tem) - tsb(ji,jj,jk,jp_tem) ) ! j-gradient of T & S at v-point 520 407 zdjs = ( tsb(ji,jj+1,jk,jp_sal) - tsb(ji,jj,jk,jp_sal) ) 521 zdxrho_raw = ( - rab_b(ji+ip,jj ,jk,jp_tem) * zdit + rab_b(ji+ip,jj ,jk,jp_sal) * zdis ) /e1u(ji,jj)522 zdyrho_raw = ( - rab_b(ji ,jj+jp,jk,jp_tem) * zdjt + rab_b(ji ,jj+jp,jk,jp_sal) * zdjs ) /e2v(ji,jj)523 zdxrho(ji+ip,jj ,jk,1-ip) = SIGN( MAX( repsln, ABS( zdxrho_raw ) ), zdxrho_raw) ! keep the sign524 zdyrho(ji ,jj+jp,jk,1-jp) = SIGN( MAX( repsln, ABS( zdyrho_raw ) ), zdyrho_raw)408 zdxrho_raw = ( - rab_b(ji+ip,jj ,jk,jp_tem) * zdit + rab_b(ji+ip,jj ,jk,jp_sal) * zdis ) * r1_e1u(ji,jj) 409 zdyrho_raw = ( - rab_b(ji ,jj+jp,jk,jp_tem) * zdjt + rab_b(ji ,jj+jp,jk,jp_sal) * zdjs ) * r1_e2v(ji,jj) 410 zdxrho(ji+ip,jj ,jk,1-ip) = SIGN( MAX( repsln, ABS( zdxrho_raw ) ), zdxrho_raw ) ! keep the sign 411 zdyrho(ji ,jj+jp,jk,1-jp) = SIGN( MAX( repsln, ABS( zdyrho_raw ) ), zdyrho_raw ) 525 412 END DO 526 413 END DO … … 533 420 zdit = gtsu(ji,jj,jp_tem) ; zdjt = gtsv(ji,jj,jp_tem) ! i- & j-gradient of Temperature 534 421 zdis = gtsu(ji,jj,jp_sal) ; zdjs = gtsv(ji,jj,jp_sal) ! i- & j-gradient of Salinity 535 zdxrho_raw = ( - rab_b(ji+ip,jj ,iku,jp_tem) * zdit + rab_b(ji+ip,jj ,iku,jp_sal) * zdis ) /e1u(ji,jj)536 zdyrho_raw = ( - rab_b(ji ,jj+jp,ikv,jp_tem) * zdjt + rab_b(ji ,jj+jp,ikv,jp_sal) * zdjs ) /e2v(ji,jj)422 zdxrho_raw = ( - rab_b(ji+ip,jj ,iku,jp_tem) * zdit + rab_b(ji+ip,jj ,iku,jp_sal) * zdis ) * r1_e1u(ji,jj) 423 zdyrho_raw = ( - rab_b(ji ,jj+jp,ikv,jp_tem) * zdjt + rab_b(ji ,jj+jp,ikv,jp_sal) * zdjs ) * r1_e2v(ji,jj) 537 424 zdxrho(ji+ip,jj ,iku,1-ip) = SIGN( MAX( repsln, ABS( zdxrho_raw ) ), zdxrho_raw ) ! keep the sign 538 425 zdyrho(ji ,jj+jp,ikv,1-jp) = SIGN( MAX( repsln, ABS( zdyrho_raw ) ), zdyrho_raw ) … … 554 441 zdks = 0._wp 555 442 ENDIF 556 zdzrho_raw = ( - rab_b(ji,jj,jk,jp_tem) * zdkt + rab_b(ji,jj,jk,jp_sal) *zdks ) / fse3w(ji,jj,jk+kp)557 zdzrho(ji,jj,jk,kp) = - MIN( - repsln , zdzrho_raw ) ! force zdzrho >= repsln443 zdzrho_raw = ( - zalbet(ji,jj,jk) * zdkt + zbeta0*zdks ) / fse3w(ji,jj,jk+kp) 444 zdzrho(ji,jj,jk,kp) = - MIN( - repsln , zdzrho_raw ) ! force zdzrho >= repsln 558 445 END DO 559 446 END DO … … 588 475 ! 589 476 jk = nmln(ji+ip,jj) + 1 590 IF( jk .GT. mbkt(ji+ip,jj) ) THEN !ML reaches bottom 591 zti_mlb(ji+ip,jj ,1-ip,kp) = 0.0_wp 592 ELSE 593 ! Add s-coordinate slope at t-points (do this by *subtracting* gradient of depth) 594 zti_g_raw = ( zdxrho(ji+ip,jj,jk-kp,1-ip) / zdzrho(ji+ip,jj,jk-kp,kp) & 595 & - ( fsdept(ji+1,jj,jk-kp) - fsdept(ji,jj,jk-kp) ) / e1u(ji,jj) ) * umask(ji,jj,jk) 596 zti_mlb(ji+ip,jj ,1-ip,kp) = SIGN( MIN( rn_slpmax, ABS( zti_g_raw ) ), zti_g_raw ) 477 IF( jk > mbkt(ji+ip,jj) ) THEN ! ML reaches bottom 478 zti_mlb(ji+ip,jj ,1-ip,kp) = 0.0_wp 479 ELSE 480 ! Add s-coordinate slope at t-points (do this by *subtracting* gradient of depth) 481 zti_g_raw = ( zdxrho(ji+ip,jj,jk-kp,1-ip) / zdzrho(ji+ip,jj,jk-kp,kp) & 482 & - ( fsdept(ji+1,jj,jk-kp) - fsdept(ji,jj,jk-kp) ) * r1_e1u(ji,jj) ) * umask(ji,jj,jk) 483 ze3_e1 = fse3w(ji+ip,jj,jk-kp) * r1_e1u(ji,jj) 484 zti_mlb(ji+ip,jj ,1-ip,kp) = SIGN( MIN( rn_slpmax, 5.0_wp * ze3_e1 , ABS( zti_g_raw ) ), zti_g_raw ) 597 485 ENDIF 598 486 ! 599 487 jk = nmln(ji,jj+jp) + 1 600 488 IF( jk .GT. mbkt(ji,jj+jp) ) THEN !ML reaches bottom 601 ztj_mlb(ji ,jj+jp,1-jp,kp) = 0.0_wp489 ztj_mlb(ji ,jj+jp,1-jp,kp) = 0.0_wp 602 490 ELSE 603 ztj_g_raw = ( zdyrho(ji,jj+jp,jk-kp,1-jp) / zdzrho(ji,jj+jp,jk-kp,kp) & 604 & - ( fsdept(ji,jj+1,jk-kp) - fsdept(ji,jj,jk-kp) ) / e2v(ji,jj) ) * vmask(ji,jj,jk) 605 ztj_mlb(ji ,jj+jp,1-jp,kp) = SIGN( MIN( rn_slpmax, ABS( ztj_g_raw ) ), ztj_g_raw ) 491 ztj_g_raw = ( zdyrho(ji,jj+jp,jk-kp,1-jp) / zdzrho(ji,jj+jp,jk-kp,kp) & 492 & - ( fsdept(ji,jj+1,jk-kp) - fsdept(ji,jj,jk-kp) ) / e2v(ji,jj) ) * vmask(ji,jj,jk) 493 ze3_e2 = fse3w(ji,jj+jp,jk-kp) / e2v(ji,jj) 494 ztj_mlb(ji ,jj+jp,1-jp,kp) = SIGN( MIN( rn_slpmax, 5.0_wp * ze3_e2 , ABS( ztj_g_raw ) ), ztj_g_raw ) 606 495 ENDIF 607 496 END DO … … 632 521 zti_raw = zdxrho(ji+ip,jj ,jk,1-ip) / zdzrho(ji+ip,jj ,jk,kp) ! unmasked 633 522 ztj_raw = zdyrho(ji ,jj+jp,jk,1-jp) / zdzrho(ji ,jj+jp,jk,kp) 634 523 ! 635 524 ! Must mask contribution to slope for triad jk=1,kp=0 that poke up though ocean surface 636 zti_coord = znot_thru_surface * ( fsdept(ji+1,jj ,jk) - fsdept(ji,jj,jk) ) /e1u(ji,jj)637 ztj_coord = znot_thru_surface * ( fsdept(ji ,jj+1,jk) - fsdept(ji,jj,jk) ) / e2v(ji,jj)! unmasked525 zti_coord = znot_thru_surface * ( fsdept(ji+1,jj ,jk) - fsdept(ji,jj,jk) ) * r1_e1u(ji,jj) 526 ztj_coord = znot_thru_surface * ( fsdept(ji ,jj+1,jk) - fsdept(ji,jj,jk) ) * r1_e2v(ji,jj) ! unmasked 638 527 zti_g_raw = zti_raw - zti_coord ! ref to geopot surfaces 639 528 ztj_g_raw = ztj_raw - ztj_coord 640 zti_g_lim = SIGN( MIN( rn_slpmax, ABS( zti_g_raw ) ), zti_g_raw ) 641 ztj_g_lim = SIGN( MIN( rn_slpmax, ABS( ztj_g_raw ) ), ztj_g_raw ) 529 ! additional limit required in bilaplacian case 530 ze3_e1 = fse3w(ji+ip,jj ,jk+kp) * r1_e1u(ji,jj) 531 ze3_e2 = fse3w(ji ,jj+jp,jk+kp) * r1_e2v(ji,jj) 532 ! NB: hard coded factor 5 (can be a namelist parameter...) 533 zti_g_lim = SIGN( MIN( rn_slpmax, 5.0_wp * ze3_e1, ABS( zti_g_raw ) ), zti_g_raw ) 534 ztj_g_lim = SIGN( MIN( rn_slpmax, 5.0_wp * ze3_e2, ABS( ztj_g_raw ) ), ztj_g_raw ) 642 535 ! 643 536 ! Below ML use limited zti_g as is & mask … … 668 561 ! 669 562 IF( ln_triad_iso ) THEN 670 zti_raw = zti_lim* *2/ zti_raw671 ztj_raw = ztj_lim* *2/ ztj_raw563 zti_raw = zti_lim*zti_lim / zti_raw 564 ztj_raw = ztj_lim*ztj_lim / ztj_raw 672 565 zti_raw = SIGN( MIN( ABS(zti_lim), ABS( zti_raw ) ), zti_raw ) 673 566 ztj_raw = SIGN( MIN( ABS(ztj_lim), ABS( ztj_raw ) ), ztj_raw ) 674 zti_lim = zfacti * zti_lim & 675 & + ( 1._wp - zfacti ) * zti_raw 676 ztj_lim = zfactj * ztj_lim & 677 & + ( 1._wp - zfactj ) * ztj_raw 567 zti_lim = zfacti * zti_lim + ( 1._wp - zfacti ) * zti_raw 568 ztj_lim = zfactj * ztj_lim + ( 1._wp - zfactj ) * ztj_raw 678 569 ENDIF 679 triadi(ji+ip,jj ,jk,1-ip,kp) = zti_lim 680 triadj(ji ,jj+jp,jk,1-jp,kp) = ztj_lim 681 ! 682 zbu = e1u(ji ,jj) * e2u(ji ,jj) * fse3u(ji ,jj,jk ) 683 zbv = e1v(ji ,jj) * e2v(ji ,jj) * fse3v(ji ,jj,jk ) 684 zbti = e1t(ji+ip,jj) * e2t(ji+ip,jj) * fse3w(ji+ip,jj,jk+kp) 685 zbtj = e1t(ji,jj+jp) * e2t(ji,jj+jp) * fse3w(ji,jj+jp,jk+kp) 686 ! 687 !!gm this may inhibit vectorization on Vect Computers, and even on scalar computers.... ==> to be checked 688 wslp2 (ji+ip,jj,jk+kp) = wslp2(ji+ip,jj,jk+kp) + 0.25_wp * zbu / zbti * zti_g_lim**2 ! masked 689 wslp2 (ji,jj+jp,jk+kp) = wslp2(ji,jj+jp,jk+kp) + 0.25_wp * zbv / zbtj * ztj_g_lim**2 570 ! ! switching triad scheme 571 zisw = (rn_sw_triad - 1._wp ) + rn_sw_triad & 572 & * 2._wp * ABS( 0.5_wp - kp - ( 0.5_wp - ip ) * SIGN( 1._wp , zdxrho(ji+ip,jj,jk,1-ip) ) ) 573 zjsw = (rn_sw_triad - 1._wp ) + rn_sw_triad & 574 & * 2._wp * ABS( 0.5_wp - kp - ( 0.5_wp - jp ) * SIGN( 1._wp , zdyrho(ji,jj+jp,jk,1-jp) ) ) 575 ! 576 triadi(ji+ip,jj ,jk,1-ip,kp) = zti_lim * zisw 577 triadj(ji ,jj+jp,jk,1-jp,kp) = ztj_lim * zjsw 578 ! 579 zbu = e1e2u(ji ,jj ) * fse3u(ji ,jj ,jk ) 580 zbv = e1e2v(ji ,jj ) * fse3v(ji ,jj ,jk ) 581 zbti = e1e2t(ji+ip,jj ) * fse3w(ji+ip,jj ,jk+kp) 582 zbtj = e1e2t(ji ,jj+jp) * fse3w(ji ,jj+jp,jk+kp) 583 ! 584 wslp2(ji+ip,jj,jk+kp) = wslp2(ji+ip,jj,jk+kp) + 0.25_wp * zbu / zbti * zti_g_lim*zti_g_lim ! masked 585 wslp2(ji,jj+jp,jk+kp) = wslp2(ji,jj+jp,jk+kp) + 0.25_wp * zbv / zbtj * ztj_g_lim*ztj_g_lim 690 586 END DO 691 587 END DO … … 699 595 ! 700 596 CALL wrk_dealloc( jpi,jpj, z1_mlbw ) 597 CALL wrk_dealloc( jpi,jpj,jpk, zalbet ) 701 598 CALL wrk_dealloc( jpi,jpj,jpk,2, zdxrho , zdyrho, zdzrho, klstart = 0 ) 702 599 CALL wrk_dealloc( jpi,jpj, 2,2, zti_mlb, ztj_mlb, kkstart = 0, klstart = 0 ) 703 600 ! 704 IF( nn_timing == 1 ) CALL timing_stop('ldf_slp_ grif')705 ! 706 END SUBROUTINE ldf_slp_ grif601 IF( nn_timing == 1 ) CALL timing_stop('ldf_slp_triad') 602 ! 603 END SUBROUTINE ldf_slp_triad 707 604 708 605 … … 730 627 INTEGER :: ji , jj , jk ! dummy loop indices 731 628 INTEGER :: iku, ikv, ik, ikm1 ! local integers 732 REAL(wp) :: zeps, zm1_g, zm1_2g 629 REAL(wp) :: zeps, zm1_g, zm1_2g, z1_slpmax ! local scalars 733 630 REAL(wp) :: zci, zfi, zau, zbu, zai, zbi ! - - 734 631 REAL(wp) :: zcj, zfj, zav, zbv, zaj, zbj ! - - … … 741 638 zm1_g = -1.0_wp / grav 742 639 zm1_2g = -0.5_wp / grav 640 z1_slpmax = 1._wp / rn_slpmax 743 641 ! 744 642 uslpml (1,:) = 0._wp ; uslpml (jpi,:) = 0._wp … … 752 650 DO ji = 1, jpi 753 651 ik = nmln(ji,jj) - 1 754 IF( jk <= ik .AND. jk >= mikt(ji,jj) ) THEN 755 omlmask(ji,jj,jk) = 1._wp 756 ELSE 757 omlmask(ji,jj,jk) = 0._wp 652 IF( jk <= ik ) THEN ; omlmask(ji,jj,jk) = 1._wp 653 ELSE ; omlmask(ji,jj,jk) = 0._wp 758 654 ENDIF 759 655 END DO … … 777 673 ! 778 674 ! !- vertical density gradient for u- and v-slopes (from dzr at T-point) 779 iku = MIN( MAX( miku(ji,jj)+1, nmln(ji,jj) , nmln(ji+1,jj) ) , jpkm1 ) ! ML (MAX of T-pts, bound by jpkm1)780 ikv = MIN( MAX( mikv(ji,jj)+1, nmln(ji,jj) , nmln(ji,jj+1) ) , jpkm1 ) !675 iku = MIN( MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) , jpkm1 ) ! ML (MAX of T-pts, bound by jpkm1) 676 ikv = MIN( MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) , jpkm1 ) ! 781 677 zbu = 0.5_wp * ( p_dzr(ji,jj,iku) + p_dzr(ji+1,jj ,iku) ) 782 678 zbv = 0.5_wp * ( p_dzr(ji,jj,ikv) + p_dzr(ji ,jj+1,ikv) ) 783 679 ! !- horizontal density gradient at u- & v-points 784 zau = p_gru(ji,jj,iku) /e1u(ji,jj)785 zav = p_grv(ji,jj,ikv) /e2v(ji,jj)680 zau = p_gru(ji,jj,iku) * r1_e1u(ji,jj) 681 zav = p_grv(ji,jj,ikv) * r1_e2v(ji,jj) 786 682 ! !- bound the slopes: abs(zw.)<= 1/100 and zb..<0 787 683 ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) 788 zbu = MIN( zbu , - 100._wp* ABS( zau ) , -7.e+3_wp/fse3u(ji,jj,iku)* ABS( zau ) )789 zbv = MIN( zbv , - 100._wp* ABS( zav ) , -7.e+3_wp/fse3v(ji,jj,ikv)* ABS( zav ) )684 zbu = MIN( zbu , - z1_slpmax * ABS( zau ) , -7.e+3_wp/fse3u(ji,jj,iku)* ABS( zau ) ) 685 zbv = MIN( zbv , - z1_slpmax * ABS( zav ) , -7.e+3_wp/fse3v(ji,jj,ikv)* ABS( zav ) ) 790 686 ! !- Slope at u- & v-points (uslpml, vslpml) 791 687 uslpml(ji,jj) = zau / ( zbu - zeps ) * umask(ji,jj,iku) … … 812 708 zbj = MIN( zbw , -100._wp* ABS( zaj ) , -7.e+3_wp/fse3w(ji,jj,ik)* ABS( zaj ) ) 813 709 ! !- i- & j-slope at w-points (wslpiml, wslpjml) 814 wslpiml(ji,jj) = zai / ( zbi - zeps ) * wmask (ji,jj,ik)815 wslpjml(ji,jj) = zaj / ( zbj - zeps ) * wmask (ji,jj,ik)710 wslpiml(ji,jj) = zai / ( zbi - zeps ) * tmask (ji,jj,ik) 711 wslpjml(ji,jj) = zaj / ( zbj - zeps ) * tmask (ji,jj,ik) 816 712 END DO 817 713 END DO … … 831 727 !! ** Purpose : Initialization for the isopycnal slopes computation 832 728 !! 833 !! ** Method : read the nammbf namelist and check the parameter 834 !! values called by tra_dmp at the first timestep (nit000) 729 !! ** Method : 835 730 !!---------------------------------------------------------------------- 836 731 INTEGER :: ji, jj, jk ! dummy loop indices … … 845 740 WRITE(numout,*) '~~~~~~~~~~~~' 846 741 ENDIF 847 848 IF( ln_traldf_grif ) THEN ! Griffies operator : triad of slopes 849 ALLOCATE( triadi_g(jpi,jpj,jpk,0:1,0:1) , triadj_g(jpi,jpj,jpk,0:1,0:1) , wslp2(jpi,jpj,jpk) , STAT=ierr ) 850 ALLOCATE( triadi (jpi,jpj,jpk,0:1,0:1) , triadj (jpi,jpj,jpk,0:1,0:1) , STAT=ierr ) 851 IF( ierr > 0 ) CALL ctl_stop( 'STOP', 'ldf_slp_init : unable to allocate Griffies operator slope' ) 852 ! 742 ! 743 ALLOCATE( ah_wslp2(jpi,jpj,jpk) , akz(jpi,jpj,jpk) , STAT=ierr ) 744 IF( ierr > 0 ) CALL ctl_stop( 'STOP', 'ldf_slp_init : unable to allocate ah_slp2 or akz' ) 745 ! 746 IF( ln_traldf_triad ) THEN ! Griffies operator : triad of slopes 747 IF(lwp) WRITE(numout,*) ' Griffies (triad) operator initialisation' 748 ALLOCATE( triadi_g(jpi,jpj,jpk,0:1,0:1) , triadj_g(jpi,jpj,jpk,0:1,0:1) , & 749 & triadi (jpi,jpj,jpk,0:1,0:1) , triadj (jpi,jpj,jpk,0:1,0:1) , & 750 & wslp2 (jpi,jpj,jpk) , STAT=ierr ) 751 IF( ierr > 0 ) CALL ctl_stop( 'STOP', 'ldf_slp_init : unable to allocate Griffies operator slope' ) 853 752 IF( ln_dynldf_iso ) CALL ctl_stop( 'ldf_slp_init: Griffies operator on momentum not supported' ) 854 753 ! 855 754 ELSE ! Madec operator : slopes at u-, v-, and w-points 856 ALLOCATE( uslp(jpi,jpj,jpk) , vslp(jpi,jpj,jpk) , wslpi(jpi,jpj,jpk) , wslpj(jpi,jpj,jpk) , & 857 & omlmask(jpi,jpj,jpk) , uslpml(jpi,jpj) , vslpml(jpi,jpj) , wslpiml(jpi,jpj) , wslpjml(jpi,jpj) , STAT=ierr ) 755 IF(lwp) WRITE(numout,*) ' Madec operator initialisation' 756 ALLOCATE( omlmask(jpi,jpj,jpk) , & 757 & uslp(jpi,jpj,jpk) , uslpml(jpi,jpj) , wslpi(jpi,jpj,jpk) , wslpiml(jpi,jpj) , & 758 & vslp(jpi,jpj,jpk) , vslpml(jpi,jpj) , wslpj(jpi,jpj,jpk) , wslpjml(jpi,jpj) , STAT=ierr ) 858 759 IF( ierr > 0 ) CALL ctl_stop( 'STOP', 'ldf_slp_init : unable to allocate Madec operator slope ' ) 859 760 … … 865 766 wslpj(:,:,:) = 0._wp ; wslpjml(:,:) = 0._wp 866 767 867 IF(ln_sco .AND. (ln_traldf_hor .OR. ln_dynldf_hor )) THEN 868 IF(lwp) WRITE(numout,*) ' Horizontal mixing in s-coordinate: slope = slope of s-surfaces' 869 870 ! geopotential diffusion in s-coordinates on tracers and/or momentum 871 ! The slopes of s-surfaces are computed once (no call to ldfslp in step) 872 ! The slopes for momentum diffusion are i- or j- averaged of those on tracers 873 874 ! set the slope of diffusion to the slope of s-surfaces 875 ! ( c a u t i o n : minus sign as fsdep has positive value ) 876 DO jk = 1, jpk 877 DO jj = 2, jpjm1 878 DO ji = fs_2, fs_jpim1 ! vector opt. 879 uslp (ji,jj,jk) = -1./e1u(ji,jj) * ( fsdept_b(ji+1,jj,jk) - fsdept_b(ji ,jj ,jk) ) * umask(ji,jj,jk) 880 vslp (ji,jj,jk) = -1./e2v(ji,jj) * ( fsdept_b(ji,jj+1,jk) - fsdept_b(ji ,jj ,jk) ) * vmask(ji,jj,jk) 881 wslpi(ji,jj,jk) = -1./e1t(ji,jj) * ( fsdepw_b(ji+1,jj,jk) - fsdepw_b(ji-1,jj,jk) ) * tmask(ji,jj,jk) * 0.5 882 wslpj(ji,jj,jk) = -1./e2t(ji,jj) * ( fsdepw_b(ji,jj+1,jk) - fsdepw_b(ji,jj-1,jk) ) * tmask(ji,jj,jk) * 0.5 883 END DO 884 END DO 885 END DO 886 CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) ! Lateral boundary conditions 887 CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) 888 ENDIF 768 !!gm I no longer understand this..... 769 !!gm IF( (ln_traldf_hor .OR. ln_dynldf_hor) .AND. .NOT. (lk_vvl .AND. ln_rstart) ) THEN 770 ! IF(lwp) WRITE(numout,*) ' Horizontal mixing in s-coordinate: slope = slope of s-surfaces' 771 ! 772 ! ! geopotential diffusion in s-coordinates on tracers and/or momentum 773 ! ! The slopes of s-surfaces are computed once (no call to ldfslp in step) 774 ! ! The slopes for momentum diffusion are i- or j- averaged of those on tracers 775 ! 776 ! ! set the slope of diffusion to the slope of s-surfaces 777 ! ! ( c a u t i o n : minus sign as fsdep has positive value ) 778 ! DO jk = 1, jpk 779 ! DO jj = 2, jpjm1 780 ! DO ji = fs_2, fs_jpim1 ! vector opt. 781 ! uslp (ji,jj,jk) = - ( fsdept(ji+1,jj,jk) - fsdept(ji ,jj ,jk) ) * r1_e1u(ji,jj) * umask(ji,jj,jk) 782 ! vslp (ji,jj,jk) = - ( fsdept(ji,jj+1,jk) - fsdept(ji ,jj ,jk) ) * r1_e2v(ji,jj) * vmask(ji,jj,jk) 783 ! wslpi(ji,jj,jk) = - ( fsdepw(ji+1,jj,jk) - fsdepw(ji-1,jj,jk) ) * r1_e1t(ji,jj) * wmask(ji,jj,jk) * 0.5 784 ! wslpj(ji,jj,jk) = - ( fsdepw(ji,jj+1,jk) - fsdepw(ji,jj-1,jk) ) * r1_e2t(ji,jj) * wmask(ji,jj,jk) * 0.5 785 ! END DO 786 ! END DO 787 ! END DO 788 ! CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) ! Lateral boundary conditions 789 ! CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) 790 !!gm ENDIF 889 791 ENDIF 890 792 ! … … 892 794 ! 893 795 END SUBROUTINE ldf_slp_init 894 895 #else896 !!------------------------------------------------------------------------897 !! Dummy module : NO Rotation of lateral mixing tensor898 !!------------------------------------------------------------------------899 LOGICAL, PUBLIC, PARAMETER :: lk_ldfslp = .FALSE. !: slopes flag900 CONTAINS901 SUBROUTINE ldf_slp( kt, prd, pn2 ) ! Dummy routine902 INTEGER, INTENT(in) :: kt903 REAL, DIMENSION(:,:,:), INTENT(in) :: prd, pn2904 WRITE(*,*) 'ldf_slp: You should not have seen this print! error?', kt, prd(1,1,1), pn2(1,1,1)905 END SUBROUTINE ldf_slp906 SUBROUTINE ldf_slp_grif( kt ) ! Dummy routine907 INTEGER, INTENT(in) :: kt908 WRITE(*,*) 'ldf_slp_grif: You should not have seen this print! error?', kt909 END SUBROUTINE ldf_slp_grif910 SUBROUTINE ldf_slp_init ! Dummy routine911 END SUBROUTINE ldf_slp_init912 #endif913 796 914 797 !!====================================================================== -
branches/2014/dev_r4650_UKMO14.12_STAND_ALONE_OBSOPER/NEMOGCM/NEMO/OPA_SRC/LDF/ldftra.F90
r4624 r6043 2 2 !!====================================================================== 3 3 !! *** MODULE ldftra *** 4 !! Ocean physics: lateral diffusivity coefficient 4 !! Ocean physics: lateral diffusivity coefficients 5 5 !!===================================================================== 6 !! History : ! 1997-07 (G. Madec) from inimix.F split in 2 routines 7 !! NEMO 1.0 ! 2002-09 (G. Madec) F90: Free form and module 8 !! 2.0 ! 2005-11 (G. Madec) 6 !! History : ! 1997-07 (G. Madec) from inimix.F split in 2 routines 7 !! NEMO 1.0 ! 2002-09 (G. Madec) F90: Free form and module 8 !! 2.0 ! 2005-11 (G. Madec) 9 !! 3.7 ! 2013-12 (F. Lemarie, G. Madec) restructuration/simplification of aht/aeiv specification, 10 !! ! add velocity dependent coefficient and optional read in file 9 11 !!---------------------------------------------------------------------- 10 12 11 13 !!---------------------------------------------------------------------- 12 14 !! ldf_tra_init : initialization, namelist read, and parameters control 13 !! ldf_tra_c3d : 3D eddy viscosity coefficient initialization 14 !! ldf_tra_c2d : 2D eddy viscosity coefficient initialization 15 !! ldf_tra_c1d : 1D eddy viscosity coefficient initialization 15 !! ldf_tra : update lateral eddy diffusivity coefficients at each time step 16 !! ldf_eiv_init : initialization of the eiv coeff. from namelist choices 17 !! ldf_eiv : time evolution of the eiv coefficients (function of the growth rate of baroclinic instability) 18 !! ldf_eiv_trp : add to the input ocean transport the contribution of the EIV parametrization 19 !! ldf_eiv_dia : diagnose the eddy induced velocity from the eiv streamfunction 16 20 !!---------------------------------------------------------------------- 17 21 USE oce ! ocean dynamics and tracers 18 22 USE dom_oce ! ocean space and time domain 19 23 USE phycst ! physical constants 20 USE ldftra_oce ! ocean tracer lateral physics 21 USE ldfslp ! ??? 24 USE ldfslp ! lateral diffusion: slope of iso-neutral surfaces 25 USE ldfc1d_c2d ! lateral diffusion: 1D & 2D cases 26 USE diaar5, ONLY: lk_diaar5 27 ! 28 USE trc_oce, ONLY: lk_offline ! offline flag 22 29 USE in_out_manager ! I/O manager 23 USE io ipsl30 USE iom ! I/O module for ehanced bottom friction file 24 31 USE lib_mpp ! distribued memory computing library 25 32 USE lbclnk ! ocean lateral boundary conditions (or mpp link) 33 USE wrk_nemo ! work arrays 34 USE timing ! timing 26 35 27 36 IMPLICIT NONE 28 37 PRIVATE 29 38 30 PUBLIC ldf_tra_init ! called by opa.F90 39 PUBLIC ldf_tra_init ! called by nemogcm.F90 40 PUBLIC ldf_tra ! called by step.F90 41 PUBLIC ldf_eiv_init ! called by nemogcm.F90 42 PUBLIC ldf_eiv ! called by step.F90 43 PUBLIC ldf_eiv_trp ! called by traadv.F90 44 PUBLIC ldf_eiv_dia ! called by traldf_iso and traldf_iso_triad.F90 45 46 ! !!* Namelist namtra_ldf : lateral mixing on tracers * 47 ! != Operator type =! 48 LOGICAL , PUBLIC :: ln_traldf_lap !: laplacian operator 49 LOGICAL , PUBLIC :: ln_traldf_blp !: bilaplacian operator 50 ! != Direction of action =! 51 LOGICAL , PUBLIC :: ln_traldf_lev !: iso-level direction 52 LOGICAL , PUBLIC :: ln_traldf_hor !: horizontal (geopotential) direction 53 ! LOGICAL , PUBLIC :: ln_traldf_iso !: iso-neutral direction (see ldfslp) 54 ! LOGICAL , PUBLIC :: ln_traldf_triad !: griffies triad scheme (see ldfslp) 55 LOGICAL , PUBLIC :: ln_traldf_msc !: Method of Stabilizing Correction 56 ! LOGICAL , PUBLIC :: ln_triad_iso !: pure horizontal mixing in ML (see ldfslp) 57 ! LOGICAL , PUBLIC :: ln_botmix_triad !: mixing on bottom (see ldfslp) 58 ! REAL(wp), PUBLIC :: rn_sw_triad !: =1/0 switching triad / all 4 triads used (see ldfslp) 59 ! REAL(wp), PUBLIC :: rn_slpmax !: slope limit (see ldfslp) 60 ! != Coefficients =! 61 INTEGER , PUBLIC :: nn_aht_ijk_t !: choice of time & space variations of the lateral eddy diffusivity coef. 62 REAL(wp), PUBLIC :: rn_aht_0 !: laplacian lateral eddy diffusivity [m2/s] 63 REAL(wp), PUBLIC :: rn_bht_0 !: bilaplacian lateral eddy diffusivity [m4/s] 64 65 ! !!* Namelist namtra_ldfeiv : eddy induced velocity param. * 66 ! != Use/diagnose eiv =! 67 LOGICAL , PUBLIC :: ln_ldfeiv !: eddy induced velocity flag 68 LOGICAL , PUBLIC :: ln_ldfeiv_dia !: diagnose & output eiv streamfunction and velocity (IOM) 69 ! != Coefficients =! 70 INTEGER , PUBLIC :: nn_aei_ijk_t !: choice of time/space variation of the eiv coeff. 71 REAL(wp), PUBLIC :: rn_aeiv_0 !: eddy induced velocity coefficient [m2/s] 72 73 LOGICAL , PUBLIC :: l_ldftra_time = .FALSE. !: flag for time variation of the lateral eddy diffusivity coef. 74 LOGICAL , PUBLIC :: l_ldfeiv_time = .FALSE. ! flag for time variation of the eiv coef. 75 76 REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ahtu, ahtv !: eddy diffusivity coef. at U- and V-points [m2/s] 77 REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: aeiu, aeiv !: eddy induced velocity coeff. [m2/s] 78 79 REAL(wp) :: r1_4 = 0.25_wp ! =1/4 80 REAL(wp) :: r1_12 = 1._wp / 12._wp ! =1/12 31 81 32 82 !! * Substitutions … … 34 84 # include "vectopt_loop_substitute.h90" 35 85 !!---------------------------------------------------------------------- 36 !! NEMO/OPA 3. 3 , NEMO Consortium (2010)86 !! NEMO/OPA 3.7 , NEMO Consortium (2015) 37 87 !! $Id$ 38 88 !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) … … 46 96 !! ** Purpose : initializations of the tracer lateral mixing coeff. 47 97 !! 48 !! ** Method : the Eddy diffusivity and eddy induced velocity ceoff. 49 !! are defined as follows: 50 !! default option : constant coef. aht0, aeiv0 (namelist) 51 !! 'key_traldf_c1d': depth dependent coef. defined in 52 !! in ldf_tra_c1d routine 53 !! 'key_traldf_c2d': latitude and longitude dependent coef. 54 !! defined in ldf_tra_c2d routine 55 !! 'key_traldf_c3d': latitude, longitude, depth dependent coef. 56 !! defined in ldf_tra_c3d routine 57 !! 58 !! N.B. User defined include files. By default, 3d and 2d coef. 59 !! are set to a constant value given in the namelist and the 1d 60 !! coefficients are initialized to a hyperbolic tangent vertical 61 !! profile. 62 !!---------------------------------------------------------------------- 63 INTEGER :: ioptio ! temporary integer 64 INTEGER :: ios ! temporary integer 65 LOGICAL :: ll_print = .FALSE. ! =T print eddy coef. in numout 66 !! 67 NAMELIST/namtra_ldf/ ln_traldf_lap , ln_traldf_bilap, & 68 & ln_traldf_level, ln_traldf_hor , ln_traldf_iso, & 69 & ln_traldf_grif , ln_traldf_gdia , & 70 & ln_triad_iso , ln_botmix_grif , & 71 & rn_aht_0 , rn_ahtb_0 , rn_aeiv_0, & 72 & rn_slpmax , rn_chsmag , rn_smsh, & 73 & rn_aht_m 74 !!---------------------------------------------------------------------- 75 76 ! Define the lateral tracer physics parameters 77 ! ============================================= 78 79 98 !! ** Method : * the eddy diffusivity coef. specification depends on: 99 !! 100 !! ln_traldf_lap = T laplacian operator 101 !! ln_traldf_blp = T bilaplacian operator 102 !! 103 !! nn_aht_ijk_t = 0 => = constant 104 !! ! 105 !! = 10 => = F(z) : constant with a reduction of 1/4 with depth 106 !! ! 107 !! =-20 => = F(i,j) = shape read in 'eddy_diffusivity.nc' file 108 !! = 20 = F(i,j) = F(e1,e2) or F(e1^3,e2^3) (lap or bilap case) 109 !! = 21 = F(i,j,t) = F(growth rate of baroclinic instability) 110 !! ! 111 !! =-30 => = F(i,j,k) = shape read in 'eddy_diffusivity.nc' file 112 !! = 30 = F(i,j,k) = 2D (case 20) + decrease with depth (case 10) 113 !! = 31 = F(i,j,k,t) = F(local velocity) ( |u|e /12 laplacian operator 114 !! or |u|e^3/12 bilaplacian operator ) 115 !! * initialisation of the eddy induced velocity coefficient by a call to ldf_eiv_init 116 !! 117 !! ** action : ahtu, ahtv initialized once for all or l_ldftra_time set to true 118 !! aeiu, aeiv initialized once for all or l_ldfeiv_time set to true 119 !!---------------------------------------------------------------------- 120 INTEGER :: jk ! dummy loop indices 121 INTEGER :: ierr, inum, ios ! local integer 122 REAL(wp) :: zah0 ! local scalar 123 ! 124 NAMELIST/namtra_ldf/ ln_traldf_lap, ln_traldf_blp , & ! type of operator 125 & ln_traldf_lev, ln_traldf_hor , ln_traldf_triad, & ! acting direction of the operator 126 & ln_traldf_iso, ln_traldf_msc , rn_slpmax , & ! option for iso-neutral operator 127 & ln_triad_iso , ln_botmix_triad, rn_sw_triad , & ! option for triad operator 128 & rn_aht_0 , rn_bht_0 , nn_aht_ijk_t ! lateral eddy coefficient 129 !!---------------------------------------------------------------------- 130 ! 131 ! Choice of lateral tracer physics 132 ! ================================= 133 ! 80 134 REWIND( numnam_ref ) ! Namelist namtra_ldf in reference namelist : Lateral physics on tracers 81 135 READ ( numnam_ref, namtra_ldf, IOSTAT = ios, ERR = 901) 82 136 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namtra_ldf in reference namelist', lwp ) 83 137 ! 84 138 REWIND( numnam_cfg ) ! Namelist namtra_ldf in configuration namelist : Lateral physics on tracers 85 139 READ ( numnam_cfg, namtra_ldf, IOSTAT = ios, ERR = 902 ) 86 140 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namtra_ldf in configuration namelist', lwp ) 87 141 IF(lwm) WRITE ( numond, namtra_ldf ) 88 142 ! 89 143 IF(lwp) THEN ! control print 90 144 WRITE(numout,*) … … 92 146 WRITE(numout,*) '~~~~~~~~~~~~ ' 93 147 WRITE(numout,*) ' Namelist namtra_ldf : lateral mixing parameters (type, direction, coefficients)' 94 WRITE(numout,*) ' laplacian operator ln_traldf_lap = ', ln_traldf_lap 95 WRITE(numout,*) ' bilaplacian operator ln_traldf_bilap = ', ln_traldf_bilap 96 WRITE(numout,*) ' iso-level ln_traldf_level = ', ln_traldf_level 97 WRITE(numout,*) ' horizontal (geopotential) ln_traldf_hor = ', ln_traldf_hor 98 WRITE(numout,*) ' iso-neutral ln_traldf_iso = ', ln_traldf_iso 99 WRITE(numout,*) ' iso-neutral (Griffies) ln_traldf_grif = ', ln_traldf_grif 100 WRITE(numout,*) ' Griffies strmfn diagnostics ln_traldf_gdia = ', ln_traldf_gdia 101 WRITE(numout,*) ' lateral eddy diffusivity rn_aht_0 = ', rn_aht_0 102 WRITE(numout,*) ' background hor. diffusivity rn_ahtb_0 = ', rn_ahtb_0 103 WRITE(numout,*) ' eddy induced velocity coef. rn_aeiv_0 = ', rn_aeiv_0 104 WRITE(numout,*) ' maximum isoppycnal slope rn_slpmax = ', rn_slpmax 105 WRITE(numout,*) ' pure lateral mixing in ML ln_triad_iso = ', ln_triad_iso 106 WRITE(numout,*) ' lateral mixing on bottom ln_botmix_grif = ', ln_botmix_grif 148 ! 149 WRITE(numout,*) ' type :' 150 WRITE(numout,*) ' laplacian operator ln_traldf_lap = ', ln_traldf_lap 151 WRITE(numout,*) ' bilaplacian operator ln_traldf_blp = ', ln_traldf_blp 152 ! 153 WRITE(numout,*) ' direction of action :' 154 WRITE(numout,*) ' iso-level ln_traldf_lev = ', ln_traldf_lev 155 WRITE(numout,*) ' horizontal (geopotential) ln_traldf_hor = ', ln_traldf_hor 156 WRITE(numout,*) ' iso-neutral Madec operator ln_traldf_iso = ', ln_traldf_iso 157 WRITE(numout,*) ' iso-neutral triad operator ln_traldf_triad = ', ln_traldf_triad 158 WRITE(numout,*) ' iso-neutral (Method of Stab. Corr.) ln_traldf_msc = ', ln_traldf_msc 159 WRITE(numout,*) ' maximum isoppycnal slope rn_slpmax = ', rn_slpmax 160 WRITE(numout,*) ' pure lateral mixing in ML ln_triad_iso = ', ln_triad_iso 161 WRITE(numout,*) ' switching triad or not rn_sw_triad = ', rn_sw_triad 162 WRITE(numout,*) ' lateral mixing on bottom ln_botmix_triad = ', ln_botmix_triad 163 ! 164 WRITE(numout,*) ' coefficients :' 165 WRITE(numout,*) ' lateral eddy diffusivity (lap case) rn_aht_0 = ', rn_aht_0 166 WRITE(numout,*) ' lateral eddy diffusivity (bilap case) rn_bht_0 = ', rn_bht_0 167 WRITE(numout,*) ' type of time-space variation nn_aht_ijk_t = ', nn_aht_ijk_t 168 ENDIF 169 ! 170 ! ! Parameter control 171 ! 172 IF( .NOT.ln_traldf_lap .AND. .NOT.ln_traldf_blp ) THEN 173 IF(lwp) WRITE(numout,*) ' No diffusive operator selected. ahtu and ahtv are not allocated' 174 l_ldftra_time = .FALSE. 175 RETURN 176 ENDIF 177 ! 178 IF( ln_traldf_blp .AND. ( ln_traldf_iso .OR. ln_traldf_triad) ) THEN ! iso-neutral bilaplacian need MSC 179 IF( .NOT.ln_traldf_msc ) CALL ctl_stop( 'tra_ldf_init: iso-neutral bilaplacian requires ln_traldf_msc=.true.' ) 180 ENDIF 181 ! 182 ! Space/time variation of eddy coefficients 183 ! =========================================== 184 ! ! allocate the aht arrays 185 ALLOCATE( ahtu(jpi,jpj,jpk) , ahtv(jpi,jpj,jpk) , STAT=ierr ) 186 IF( ierr /= 0 ) CALL ctl_stop( 'STOP', 'ldf_tra_init: failed to allocate arrays') 187 ! 188 ahtu(:,:,jpk) = 0._wp ! last level always 0 189 ahtv(:,:,jpk) = 0._wp 190 ! 191 ! ! value of eddy mixing coef. 192 IF ( ln_traldf_lap ) THEN ; zah0 = rn_aht_0 ! laplacian operator 193 ELSEIF( ln_traldf_blp ) THEN ; zah0 = ABS( rn_bht_0 ) ! bilaplacian operator 194 ENDIF 195 ! 196 l_ldftra_time = .FALSE. ! no time variation except in case defined below 197 ! 198 IF( ln_traldf_lap .OR. ln_traldf_blp ) THEN ! only if a lateral diffusion operator is used 199 ! 200 SELECT CASE( nn_aht_ijk_t ) ! Specification of space time variations of ehtu, ahtv 201 ! 202 CASE( 0 ) !== constant ==! 203 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = constant = ', rn_aht_0 204 ahtu(:,:,:) = zah0 * umask(:,:,:) 205 ahtv(:,:,:) = zah0 * vmask(:,:,:) 206 ! 207 CASE( 10 ) !== fixed profile ==! 208 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( depth )' 209 ahtu(:,:,1) = zah0 * umask(:,:,1) ! constant surface value 210 ahtv(:,:,1) = zah0 * vmask(:,:,1) 211 CALL ldf_c1d( 'TRA', r1_4, ahtu(:,:,1), ahtv(:,:,1), ahtu, ahtv ) 212 ! 213 CASE ( -20 ) !== fixed horizontal shape read in file ==! 214 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F(i,j) read in eddy_diffusivity.nc file' 215 CALL iom_open( 'eddy_diffusivity_2D.nc', inum ) 216 CALL iom_get ( inum, jpdom_data, 'ahtu_2D', ahtu(:,:,1) ) 217 CALL iom_get ( inum, jpdom_data, 'ahtv_2D', ahtv(:,:,1) ) 218 CALL iom_close( inum ) 219 DO jk = 2, jpkm1 220 ahtu(:,:,jk) = ahtu(:,:,1) * umask(:,:,jk) 221 ahtv(:,:,jk) = ahtv(:,:,1) * vmask(:,:,jk) 222 END DO 223 ! 224 CASE( 20 ) !== fixed horizontal shape ==! 225 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( e1, e2 ) or F( e1^3, e2^3 ) (lap or blp case)' 226 IF( ln_traldf_lap ) CALL ldf_c2d( 'TRA', 'LAP', zah0, ahtu, ahtv ) ! surface value proportional to scale factor 227 IF( ln_traldf_blp ) CALL ldf_c2d( 'TRA', 'BLP', zah0, ahtu, ahtv ) ! surface value proportional to scale factor 228 ! 229 CASE( 21 ) !== time varying 2D field ==! 230 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( latitude, longitude, time )' 231 IF(lwp) WRITE(numout,*) ' = F( growth rate of baroclinic instability )' 232 IF(lwp) WRITE(numout,*) ' min value = 0.1 * rn_aht_0' 233 IF(lwp) WRITE(numout,*) ' max value = rn_aht_0 (rn_aeiv_0 if nn_aei_ijk_t=21)' 234 IF(lwp) WRITE(numout,*) ' increased to rn_aht_0 within 20N-20S' 235 ! 236 l_ldftra_time = .TRUE. ! will be calculated by call to ldf_tra routine in step.F90 237 ! 238 IF( ln_traldf_blp ) THEN 239 CALL ctl_stop( 'ldf_tra_init: aht=F(growth rate of baroc. insta.) incompatible with bilaplacian operator' ) 240 ENDIF 241 ! 242 CASE( -30 ) !== fixed 3D shape read in file ==! 243 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F(i,j,k) read in eddy_diffusivity.nc file' 244 CALL iom_open( 'eddy_diffusivity_3D.nc', inum ) 245 CALL iom_get ( inum, jpdom_data, 'ahtu_3D', ahtu ) 246 CALL iom_get ( inum, jpdom_data, 'ahtv_3D', ahtv ) 247 CALL iom_close( inum ) 248 DO jk = 1, jpkm1 249 ahtu(:,:,jk) = ahtu(:,:,jk) * umask(:,:,jk) 250 ahtv(:,:,jk) = ahtv(:,:,jk) * vmask(:,:,jk) 251 END DO 252 ! 253 CASE( 30 ) !== fixed 3D shape ==! 254 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( latitude, longitude, depth )' 255 IF( ln_traldf_lap ) CALL ldf_c2d( 'TRA', 'LAP', zah0, ahtu, ahtv ) ! surface value proportional to scale factor 256 IF( ln_traldf_blp ) CALL ldf_c2d( 'TRA', 'BLP', zah0, ahtu, ahtv ) ! surface value proportional to scale factor 257 ! ! reduction with depth 258 CALL ldf_c1d( 'TRA', r1_4, ahtu(:,:,1), ahtv(:,:,1), ahtu, ahtv ) 259 ! 260 CASE( 31 ) !== time varying 3D field ==! 261 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( latitude, longitude, depth , time )' 262 IF(lwp) WRITE(numout,*) ' proportional to the velocity : |u|e/12 or |u|e^3/12' 263 ! 264 l_ldftra_time = .TRUE. ! will be calculated by call to ldf_tra routine in step.F90 265 ! 266 CASE DEFAULT 267 CALL ctl_stop('ldf_tra_init: wrong choice for nn_aht_ijk_t, the type of space-time variation of aht') 268 END SELECT 269 ! 270 IF( ln_traldf_blp .AND. .NOT. l_ldftra_time ) THEN 271 ahtu(:,:,:) = SQRT( ahtu(:,:,:) ) 272 ahtv(:,:,:) = SQRT( ahtv(:,:,:) ) 273 ENDIF 274 ! 275 ENDIF 276 ! 277 END SUBROUTINE ldf_tra_init 278 279 280 SUBROUTINE ldf_tra( kt ) 281 !!---------------------------------------------------------------------- 282 !! *** ROUTINE ldf_tra *** 283 !! 284 !! ** Purpose : update at kt the tracer lateral mixing coeff. (aht and aeiv) 285 !! 286 !! ** Method : time varying eddy diffusivity coefficients: 287 !! 288 !! nn_aei_ijk_t = 21 aeiu, aeiv = F(i,j, t) = F(growth rate of baroclinic instability) 289 !! with a reduction to 0 in vicinity of the Equator 290 !! nn_aht_ijk_t = 21 ahtu, ahtv = F(i,j, t) = F(growth rate of baroclinic instability) 291 !! 292 !! = 31 ahtu, ahtv = F(i,j,k,t) = F(local velocity) ( |u|e /12 laplacian operator 293 !! or |u|e^3/12 bilaplacian operator ) 294 !! 295 !! ** action : ahtu, ahtv update at each time step 296 !! aeiu, aeiv - - - - (if ln_ldfeiv=T) 297 !!---------------------------------------------------------------------- 298 INTEGER, INTENT(in) :: kt ! time step 299 ! 300 INTEGER :: ji, jj, jk ! dummy loop indices 301 REAL(wp) :: zaht, zaht_min, z1_f20 ! local scalar 302 !!---------------------------------------------------------------------- 303 ! 304 IF( nn_aei_ijk_t == 21 ) THEN ! eddy induced velocity coefficients 305 ! ! =F(growth rate of baroclinic instability) 306 ! ! max value rn_aeiv_0 ; decreased to 0 within 20N-20S 307 CALL ldf_eiv( kt, rn_aeiv_0, aeiu, aeiv ) 308 IF(lwp .AND. kt<=nit000+20 ) WRITE(numout,*) ' kt , ldf_eiv appel', kt 309 ENDIF 310 ! 311 SELECT CASE( nn_aht_ijk_t ) ! Eddy diffusivity coefficients 312 ! 313 CASE( 21 ) !== time varying 2D field ==! = F( growth rate of baroclinic instability ) 314 ! ! min value rn_aht_0 / 10 315 ! ! max value rn_aht_0 (rn_aeiv_0 if nn_aei_ijk_t=21) 316 ! ! increase to rn_aht_0 within 20N-20S 317 IF( nn_aei_ijk_t /= 21 ) THEN 318 CALL ldf_eiv( kt, rn_aht_0, ahtu, ahtv ) 319 IF(lwp .AND. kt<=nit000+20 ) WRITE(numout,*) ' kt , ldf_eiv appel 2', kt 320 ELSE 321 ahtu(:,:,1) = aeiu(:,:,1) 322 ahtv(:,:,1) = aeiv(:,:,1) 323 IF(lwp .AND. kt<=nit000+20 ) WRITE(numout,*) ' kt , ahtu=aeiu', kt 324 ENDIF 325 ! 326 z1_f20 = 1._wp / ( 2._wp * omega * SIN( rad * 20._wp ) ) ! 1 / ff(20 degrees) 327 zaht_min = 0.2_wp * rn_aht_0 ! minimum value for aht 328 DO jj = 1, jpj 329 DO ji = 1, jpi 330 zaht = ( 1._wp - MIN( 1._wp , ABS( ff(ji,jj) * z1_f20 ) ) ) * ( rn_aht_0 - zaht_min ) 331 ahtu(ji,jj,1) = ( MAX( zaht_min, ahtu(ji,jj,1) ) + zaht ) * umask(ji,jj,1) ! min value zaht_min 332 ahtv(ji,jj,1) = ( MAX( zaht_min, ahtv(ji,jj,1) ) + zaht ) * vmask(ji,jj,1) ! increase within 20S-20N 333 END DO 334 END DO 335 DO jk = 2, jpkm1 ! deeper value = surface value 336 ahtu(:,:,jk) = ahtu(:,:,1) * umask(:,:,jk) 337 ahtv(:,:,jk) = ahtv(:,:,1) * vmask(:,:,jk) 338 END DO 339 ! 340 CASE( 31 ) !== time varying 3D field ==! = F( local velocity ) 341 IF( ln_traldf_lap ) THEN ! laplacian operator |u| e /12 342 DO jk = 1, jpkm1 343 ahtu(:,:,jk) = ABS( ub(:,:,jk) ) * e1u(:,:) * r1_12 344 ahtv(:,:,jk) = ABS( vb(:,:,jk) ) * e2v(:,:) * r1_12 345 END DO 346 ELSEIF( ln_traldf_blp ) THEN ! bilaplacian operator sqrt( |u| e^3 /12 ) = sqrt( |u| e /12 ) * e 347 DO jk = 1, jpkm1 348 ahtu(:,:,jk) = SQRT( ABS( ub(:,:,jk) ) * e1u(:,:) * r1_12 ) * e1u(:,:) 349 ahtv(:,:,jk) = SQRT( ABS( vb(:,:,jk) ) * e2v(:,:) * r1_12 ) * e2v(:,:) 350 END DO 351 ENDIF 352 ! 353 END SELECT 354 ! 355 IF( .NOT.lk_offline ) THEN 356 CALL iom_put( "ahtu_2d", ahtu(:,:,1) ) ! surface u-eddy diffusivity coeff. 357 CALL iom_put( "ahtv_2d", ahtv(:,:,1) ) ! surface v-eddy diffusivity coeff. 358 CALL iom_put( "ahtu_3d", ahtu(:,:,:) ) ! 3D u-eddy diffusivity coeff. 359 CALL iom_put( "ahtv_3d", ahtv(:,:,:) ) ! 3D v-eddy diffusivity coeff. 360 ! 361 !!gm : THE IF below is to be checked (comes from Seb) 362 IF( ln_ldfeiv ) THEN 363 CALL iom_put( "aeiu_2d", aeiu(:,:,1) ) ! surface u-EIV coeff. 364 CALL iom_put( "aeiv_2d", aeiv(:,:,1) ) ! surface v-EIV coeff. 365 CALL iom_put( "aeiu_3d", aeiu(:,:,:) ) ! 3D u-EIV coeff. 366 CALL iom_put( "aeiv_3d", aeiv(:,:,:) ) ! 3D v-EIV coeff. 367 ENDIF 368 ENDIF 369 ! 370 END SUBROUTINE ldf_tra 371 372 373 SUBROUTINE ldf_eiv_init 374 !!---------------------------------------------------------------------- 375 !! *** ROUTINE ldf_eiv_init *** 376 !! 377 !! ** Purpose : initialization of the eiv coeff. from namelist choices. 378 !! 379 !! ** Method : 380 !! 381 !! ** Action : aeiu , aeiv : EIV coeff. at u- & v-points 382 !! l_ldfeiv_time : =T if EIV coefficients vary with time 383 !!---------------------------------------------------------------------- 384 INTEGER :: jk ! dummy loop indices 385 INTEGER :: ierr, inum, ios ! local integer 386 ! 387 NAMELIST/namtra_ldfeiv/ ln_ldfeiv , ln_ldfeiv_dia, & ! eddy induced velocity (eiv) 388 & nn_aei_ijk_t, rn_aeiv_0 ! eiv coefficient 389 !!---------------------------------------------------------------------- 390 ! 391 REWIND( numnam_ref ) ! Namelist namtra_ldfeiv in reference namelist : eddy induced velocity param. 392 READ ( numnam_ref, namtra_ldfeiv, IOSTAT = ios, ERR = 901) 393 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namtra_ldfeiv in reference namelist', lwp ) 394 ! 395 REWIND( numnam_cfg ) ! Namelist namtra_ldfeiv in configuration namelist : eddy induced velocity param. 396 READ ( numnam_cfg, namtra_ldfeiv, IOSTAT = ios, ERR = 902 ) 397 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namtra_ldfeiv in configuration namelist', lwp ) 398 IF(lwm) WRITE ( numond, namtra_ldfeiv ) 399 400 IF(lwp) THEN ! control print 107 401 WRITE(numout,*) 108 ENDIF 109 110 ! ! convert DOCTOR namelist names into OLD names 111 aht0 = rn_aht_0 112 ahtb0 = rn_ahtb_0 113 aeiv0 = rn_aeiv_0 114 115 ! ! Parameter control 116 117 ! ... Check consistency for type and direction : 118 ! ==> will be done in traldf module 119 120 ! ... Space variation of eddy coefficients 121 ioptio = 0 122 #if defined key_traldf_c3d 123 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( latitude, longitude, depth)' 124 ioptio = ioptio + 1 125 #endif 126 #if defined key_traldf_c2d 127 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( latitude, longitude)' 128 ioptio = ioptio + 1 129 #endif 130 #if defined key_traldf_c1d 131 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( depth )' 132 ioptio = ioptio + 1 133 IF( .NOT. ln_zco ) CALL ctl_stop( 'key_traldf_c1d can only be used in z-coordinate - full step' ) 134 #endif 135 IF( ioptio == 0 ) THEN 136 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = constant (default option)' 137 ELSEIF( ioptio > 1 ) THEN 138 CALL ctl_stop(' use only one of the following keys:', & 139 & ' key_traldf_c3d, key_traldf_c2d, key_traldf_c1d' ) 140 ENDIF 141 142 IF( ln_traldf_bilap ) THEN 143 IF(lwp) WRITE(numout,*) ' biharmonic tracer diffusion' 144 IF( aht0 > 0 .AND. .NOT. lk_esopa ) CALL ctl_stop( 'The horizontal diffusivity coef. aht0 must be negative' ) 402 WRITE(numout,*) 'ldf_eiv_init : eddy induced velocity parametrization' 403 WRITE(numout,*) '~~~~~~~~~~~~ ' 404 WRITE(numout,*) ' Namelist namtra_ldfeiv : ' 405 WRITE(numout,*) ' Eddy Induced Velocity (eiv) param. ln_ldfeiv = ', ln_ldfeiv 406 WRITE(numout,*) ' eiv streamfunction & velocity diag. ln_ldfeiv_dia = ', ln_ldfeiv_dia 407 WRITE(numout,*) ' eddy induced velocity coef. rn_aeiv_0 = ', rn_aeiv_0 408 WRITE(numout,*) ' type of time-space variation nn_aei_ijk_t = ', nn_aei_ijk_t 409 WRITE(numout,*) 410 ENDIF 411 ! 412 IF( ln_ldfeiv .AND. ln_traldf_blp ) CALL ctl_stop( 'ldf_eiv_init: eddy induced velocity ONLY with laplacian diffusivity' ) 413 414 ! ! Parameter control 415 l_ldfeiv_time = .FALSE. 416 ! 417 IF( ln_ldfeiv ) THEN ! allocate the aei arrays 418 ALLOCATE( aeiu(jpi,jpj,jpk), aeiv(jpi,jpj,jpk), STAT=ierr ) 419 IF( ierr /= 0 ) CALL ctl_stop('STOP', 'ldf_eiv: failed to allocate arrays') 420 ! 421 SELECT CASE( nn_aei_ijk_t ) ! Specification of space time variations of eaiu, aeiv 422 ! 423 CASE( 0 ) !== constant ==! 424 IF(lwp) WRITE(numout,*) ' eddy induced velocity coef. = constant = ', rn_aeiv_0 425 aeiu(:,:,:) = rn_aeiv_0 426 aeiv(:,:,:) = rn_aeiv_0 427 ! 428 CASE( 10 ) !== fixed profile ==! 429 IF(lwp) WRITE(numout,*) ' eddy induced velocity coef. = F( depth )' 430 aeiu(:,:,1) = rn_aeiv_0 ! constant surface value 431 aeiv(:,:,1) = rn_aeiv_0 432 CALL ldf_c1d( 'TRA', r1_4, aeiu(:,:,1), aeiv(:,:,1), aeiu, aeiv ) 433 ! 434 CASE ( -20 ) !== fixed horizontal shape read in file ==! 435 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F(i,j) read in eddy_diffusivity_2D.nc file' 436 CALL iom_open ( 'eddy_induced_velocity_2D.nc', inum ) 437 CALL iom_get ( inum, jpdom_data, 'aeiu', aeiu(:,:,1) ) 438 CALL iom_get ( inum, jpdom_data, 'aeiv', aeiv(:,:,1) ) 439 CALL iom_close( inum ) 440 DO jk = 2, jpk 441 aeiu(:,:,jk) = aeiu(:,:,1) 442 aeiv(:,:,jk) = aeiv(:,:,1) 443 END DO 444 ! 445 CASE( 20 ) !== fixed horizontal shape ==! 446 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( e1, e2 ) or F( e1^3, e2^3 ) (lap or bilap case)' 447 CALL ldf_c2d( 'TRA', 'LAP', rn_aeiv_0, aeiu, aeiv ) ! surface value proportional to scale factor 448 ! 449 CASE( 21 ) !== time varying 2D field ==! 450 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( latitude, longitude, time )' 451 IF(lwp) WRITE(numout,*) ' = F( growth rate of baroclinic instability )' 452 ! 453 l_ldfeiv_time = .TRUE. ! will be calculated by call to ldf_tra routine in step.F90 454 ! 455 CASE( -30 ) !== fixed 3D shape read in file ==! 456 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F(i,j,k) read in eddy_diffusivity_3D.nc file' 457 CALL iom_open ( 'eddy_induced_velocity_3D.nc', inum ) 458 CALL iom_get ( inum, jpdom_data, 'aeiu', aeiu ) 459 CALL iom_get ( inum, jpdom_data, 'aeiv', aeiv ) 460 CALL iom_close( inum ) 461 ! 462 CASE( 30 ) !== fixed 3D shape ==! 463 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( latitude, longitude, depth )' 464 CALL ldf_c2d( 'TRA', 'LAP', rn_aeiv_0, aeiu, aeiv ) ! surface value proportional to scale factor 465 ! ! reduction with depth 466 CALL ldf_c1d( 'TRA', r1_4, aeiu(:,:,1), aeiv(:,:,1), aeiu, aeiv ) 467 ! 468 CASE DEFAULT 469 CALL ctl_stop('ldf_tra_init: wrong choice for nn_aei_ijk_t, the type of space-time variation of aei') 470 END SELECT 471 ! 145 472 ELSE 146 IF(lwp) WRITE(numout,*) ' harmonic tracer diffusion (default)' 147 IF( aht0 < 0 .AND. .NOT. lk_esopa ) CALL ctl_stop('The horizontal diffusivity coef. aht0 must be positive' ) 148 ENDIF 149 150 151 ! Lateral eddy diffusivity and eddy induced velocity coefficients 152 ! ================================================================ 153 #if defined key_traldf_c3d 154 CALL ldf_tra_c3d( ll_print ) ! aht = 3D coef. = F( longitude, latitude, depth ) 155 #elif defined key_traldf_c2d 156 CALL ldf_tra_c2d( ll_print ) ! aht = 2D coef. = F( longitude, latitude ) 157 #elif defined key_traldf_c1d 158 CALL ldf_tra_c1d( ll_print ) ! aht = 1D coef. = F( depth ) 159 #else 160 ! Constant coefficients 161 IF(lwp)WRITE(numout,*) 162 IF(lwp)WRITE(numout,*) ' constant eddy diffusivity coef. ahtu = ahtv = ahtw = aht0 = ', aht0 163 IF( lk_traldf_eiv ) THEN 164 IF(lwp)WRITE(numout,*) ' constant eddy induced velocity coef. aeiu = aeiv = aeiw = aeiv0 = ', aeiv0 473 IF(lwp) WRITE(numout,*) ' eddy induced velocity param is NOT used neither diagnosed' 474 ln_ldfeiv_dia = .FALSE. 475 ENDIF 476 ! 477 END SUBROUTINE ldf_eiv_init 478 479 480 SUBROUTINE ldf_eiv( kt, paei0, paeiu, paeiv ) 481 !!---------------------------------------------------------------------- 482 !! *** ROUTINE ldf_eiv *** 483 !! 484 !! ** Purpose : Compute the eddy induced velocity coefficient from the 485 !! growth rate of baroclinic instability. 486 !! 487 !! ** Method : coefficient function of the growth rate of baroclinic instability 488 !! 489 !! Reference : Treguier et al. JPO 1997 ; Held and Larichev JAS 1996 490 !!---------------------------------------------------------------------- 491 INTEGER , INTENT(in ) :: kt ! ocean time-step index 492 REAL(wp) , INTENT(inout) :: paei0 ! max value [m2/s] 493 REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: paeiu, paeiv ! eiv coefficient [m2/s] 494 ! 495 INTEGER :: ji, jj, jk ! dummy loop indices 496 REAL(wp) :: zfw, ze3w, zn2, z1_f20, zaht, zaht_min, zzaei ! local scalars 497 REAL(wp), DIMENSION(:,:), POINTER :: zn, zah, zhw, zross, zaeiw ! 2D workspace 498 !!---------------------------------------------------------------------- 499 ! 500 IF( nn_timing == 1 ) CALL timing_start('ldf_eiv') 501 ! 502 CALL wrk_alloc( jpi,jpj, zn, zah, zhw, zross, zaeiw ) 503 ! 504 zn (:,:) = 0._wp ! Local initialization 505 zhw (:,:) = 5._wp 506 zah (:,:) = 0._wp 507 zross(:,:) = 0._wp 508 ! ! Compute lateral diffusive coefficient at T-point 509 IF( ln_traldf_triad ) THEN 510 DO jk = 1, jpk 511 DO jj = 2, jpjm1 512 DO ji = 2, jpim1 513 ! Take the max of N^2 and zero then take the vertical sum 514 ! of the square root of the resulting N^2 ( required to compute 515 ! internal Rossby radius Ro = .5 * sum_jpk(N) / f 516 zn2 = MAX( rn2b(ji,jj,jk), 0._wp ) 517 zn(ji,jj) = zn(ji,jj) + SQRT( zn2 ) * fse3w(ji,jj,jk) 518 ! Compute elements required for the inverse time scale of baroclinic 519 ! eddies using the isopycnal slopes calculated in ldfslp.F : 520 ! T^-1 = sqrt(m_jpk(N^2*(r1^2+r2^2)*e3w)) 521 ze3w = fse3w(ji,jj,jk) * tmask(ji,jj,jk) 522 zah(ji,jj) = zah(ji,jj) + zn2 * wslp2(ji,jj,jk) * ze3w 523 zhw(ji,jj) = zhw(ji,jj) + ze3w 524 END DO 525 END DO 526 END DO 527 ELSE 528 DO jk = 1, jpk 529 DO jj = 2, jpjm1 530 DO ji = 2, jpim1 531 ! Take the max of N^2 and zero then take the vertical sum 532 ! of the square root of the resulting N^2 ( required to compute 533 ! internal Rossby radius Ro = .5 * sum_jpk(N) / f 534 zn2 = MAX( rn2b(ji,jj,jk), 0._wp ) 535 zn(ji,jj) = zn(ji,jj) + SQRT( zn2 ) * fse3w(ji,jj,jk) 536 ! Compute elements required for the inverse time scale of baroclinic 537 ! eddies using the isopycnal slopes calculated in ldfslp.F : 538 ! T^-1 = sqrt(m_jpk(N^2*(r1^2+r2^2)*e3w)) 539 ze3w = fse3w(ji,jj,jk) * tmask(ji,jj,jk) 540 zah(ji,jj) = zah(ji,jj) + zn2 * ( wslpi(ji,jj,jk) * wslpi(ji,jj,jk) & 541 & + wslpj(ji,jj,jk) * wslpj(ji,jj,jk) ) * ze3w 542 zhw(ji,jj) = zhw(ji,jj) + ze3w 543 END DO 544 END DO 545 END DO 546 END IF 547 548 DO jj = 2, jpjm1 549 DO ji = fs_2, fs_jpim1 ! vector opt. 550 zfw = MAX( ABS( 2. * omega * SIN( rad * gphit(ji,jj) ) ) , 1.e-10 ) 551 ! Rossby radius at w-point taken < 40km and > 2km 552 zross(ji,jj) = MAX( MIN( .4 * zn(ji,jj) / zfw, 40.e3 ), 2.e3 ) 553 ! Compute aeiw by multiplying Ro^2 and T^-1 554 zaeiw(ji,jj) = zross(ji,jj) * zross(ji,jj) * SQRT( zah(ji,jj) / zhw(ji,jj) ) * tmask(ji,jj,1) 555 END DO 556 END DO 557 558 !!gm IF( cp_cfg == "orca" .AND. jp_cfg == 2 ) THEN ! ORCA R2 559 !!gm DO jj = 2, jpjm1 560 !!gm DO ji = fs_2, fs_jpim1 ! vector opt. 561 !!gm ! Take the minimum between aeiw and 1000 m2/s over shelves (depth shallower than 650 m) 562 !!gm IF( mbkt(ji,jj) <= 20 ) zaeiw(ji,jj) = MIN( zaeiw(ji,jj), 1000. ) 563 !!gm END DO 564 !!gm END DO 565 !!gm ENDIF 566 567 ! !== Bound on eiv coeff. ==! 568 z1_f20 = 1._wp / ( 2._wp * omega * sin( rad * 20._wp ) ) 569 DO jj = 2, jpjm1 570 DO ji = fs_2, fs_jpim1 ! vector opt. 571 zzaei = MIN( 1._wp, ABS( ff(ji,jj) * z1_f20 ) ) * zaeiw(ji,jj) ! tropical decrease 572 zaeiw(ji,jj) = MIN( zzaei , paei0 ) ! Max value = paei0 573 END DO 574 END DO 575 CALL lbc_lnk( zaeiw(:,:), 'W', 1. ) ! lateral boundary condition 576 ! 577 DO jj = 2, jpjm1 !== aei at u- and v-points ==! 578 DO ji = fs_2, fs_jpim1 ! vector opt. 579 paeiu(ji,jj,1) = 0.5_wp * ( zaeiw(ji,jj) + zaeiw(ji+1,jj ) ) * umask(ji,jj,1) 580 paeiv(ji,jj,1) = 0.5_wp * ( zaeiw(ji,jj) + zaeiw(ji ,jj+1) ) * vmask(ji,jj,1) 581 END DO 582 END DO 583 CALL lbc_lnk( paeiu(:,:,1), 'U', 1. ) ; CALL lbc_lnk( paeiv(:,:,1), 'V', 1. ) ! lateral boundary condition 584 585 DO jk = 2, jpkm1 !== deeper values equal the surface one ==! 586 paeiu(:,:,jk) = paeiu(:,:,1) * umask(:,:,jk) 587 paeiv(:,:,jk) = paeiv(:,:,1) * vmask(:,:,jk) 588 END DO 589 ! 590 CALL wrk_dealloc( jpi,jpj, zn, zah, zhw, zross, zaeiw ) 591 ! 592 IF( nn_timing == 1 ) CALL timing_stop('ldf_eiv') 593 ! 594 END SUBROUTINE ldf_eiv 595 596 597 SUBROUTINE ldf_eiv_trp( kt, kit000, pun, pvn, pwn, cdtype ) 598 !!---------------------------------------------------------------------- 599 !! *** ROUTINE ldf_eiv_trp *** 600 !! 601 !! ** Purpose : add to the input ocean transport the contribution of 602 !! the eddy induced velocity parametrization. 603 !! 604 !! ** Method : The eddy induced transport is computed from a flux stream- 605 !! function which depends on the slope of iso-neutral surfaces 606 !! (see ldf_slp). For example, in the i-k plan : 607 !! psi_uw = mk(aeiu) e2u mi(wslpi) [in m3/s] 608 !! Utr_eiv = - dk[psi_uw] 609 !! Vtr_eiv = + di[psi_uw] 610 !! ln_ldfeiv_dia = T : output the associated streamfunction, 611 !! velocity and heat transport (call ldf_eiv_dia) 612 !! 613 !! ** Action : pun, pvn increased by the eiv transport 614 !!---------------------------------------------------------------------- 615 INTEGER , INTENT(in ) :: kt ! ocean time-step index 616 INTEGER , INTENT(in ) :: kit000 ! first time step index 617 CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) 618 REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pun ! in : 3 ocean transport components [m3/s] 619 REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pvn ! out: 3 ocean transport components [m3/s] 620 REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pwn ! increased by the eiv [m3/s] 621 !! 622 INTEGER :: ji, jj, jk ! dummy loop indices 623 REAL(wp) :: zuwk, zuwk1, zuwi, zuwi1 ! local scalars 624 REAL(wp) :: zvwk, zvwk1, zvwj, zvwj1 ! - - 625 REAL(wp), POINTER, DIMENSION(:,:,:) :: zpsi_uw, zpsi_vw 626 !!---------------------------------------------------------------------- 627 ! 628 IF( nn_timing == 1 ) CALL timing_start( 'ldf_eiv_trp') 629 ! 630 CALL wrk_alloc( jpi,jpj,jpk, zpsi_uw, zpsi_vw ) 631 632 IF( kt == kit000 ) THEN 633 IF(lwp) WRITE(numout,*) 634 IF(lwp) WRITE(numout,*) 'ldf_eiv_trp : eddy induced advection on ', cdtype,' :' 635 IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ add to velocity fields the eiv component' 636 ENDIF 637 165 638 166 ENDIF 167 #endif 168 169 #if defined key_traldf_smag && ! defined key_traldf_c3d 170 CALL ctl_stop( 'key_traldf_smag can only be used with key_traldf_c3d' ) 171 #endif 172 #if defined key_traldf_smag 173 IF(lwp) WRITE(numout,*)' SMAGORINSKY DIFFUSION' 174 IF(lwp .AND. rn_smsh < 1) WRITE(numout,*)' only shear is used ' 175 IF(lwp.and.ln_traldf_bilap) CALL ctl_stop(' SMAGORINSKY + BILAPLACIAN - UNSTABLE OR NON_CONSERVATIVE' ) 176 #endif 177 178 ! 179 END SUBROUTINE ldf_tra_init 180 181 #if defined key_traldf_c3d 182 # include "ldftra_c3d.h90" 183 #elif defined key_traldf_c2d 184 # include "ldftra_c2d.h90" 185 #elif defined key_traldf_c1d 186 # include "ldftra_c1d.h90" 187 #endif 639 zpsi_uw(:,:, 1 ) = 0._wp ; zpsi_vw(:,:, 1 ) = 0._wp 640 zpsi_uw(:,:,jpk) = 0._wp ; zpsi_vw(:,:,jpk) = 0._wp 641 ! 642 DO jk = 2, jpkm1 643 DO jj = 1, jpjm1 644 DO ji = 1, fs_jpim1 ! vector opt. 645 zpsi_uw(ji,jj,jk) = - 0.25_wp * e2u(ji,jj) * ( wslpi(ji,jj,jk ) + wslpi(ji+1,jj,jk) ) & 646 & * ( aeiu (ji,jj,jk-1) + aeiu (ji ,jj,jk) ) * umask(ji,jj,jk) 647 zpsi_vw(ji,jj,jk) = - 0.25_wp * e1v(ji,jj) * ( wslpj(ji,jj,jk ) + wslpj(ji,jj+1,jk) ) & 648 & * ( aeiv (ji,jj,jk-1) + aeiv (ji,jj ,jk) ) * vmask(ji,jj,jk) 649 END DO 650 END DO 651 END DO 652 ! 653 DO jk = 1, jpkm1 654 DO jj = 1, jpjm1 655 DO ji = 1, fs_jpim1 ! vector opt. 656 pun(ji,jj,jk) = pun(ji,jj,jk) - ( zpsi_uw(ji,jj,jk) - zpsi_uw(ji,jj,jk+1) ) 657 pvn(ji,jj,jk) = pvn(ji,jj,jk) - ( zpsi_vw(ji,jj,jk) - zpsi_vw(ji,jj,jk+1) ) 658 END DO 659 END DO 660 END DO 661 DO jk = 1, jpkm1 662 DO jj = 2, jpjm1 663 DO ji = fs_2, fs_jpim1 ! vector opt. 664 pwn(ji,jj,jk) = pwn(ji,jj,jk) + ( zpsi_uw(ji,jj,jk) - zpsi_uw(ji-1,jj ,jk) & 665 & + zpsi_vw(ji,jj,jk) - zpsi_vw(ji ,jj-1,jk) ) 666 END DO 667 END DO 668 END DO 669 ! 670 ! ! diagnose the eddy induced velocity and associated heat transport 671 IF( ln_ldfeiv_dia .AND. cdtype == 'TRA' ) CALL ldf_eiv_dia( zpsi_uw, zpsi_vw ) 672 ! 673 CALL wrk_dealloc( jpi,jpj,jpk, zpsi_uw, zpsi_vw ) 674 ! 675 IF( nn_timing == 1 ) CALL timing_stop( 'ldf_eiv_trp') 676 ! 677 END SUBROUTINE ldf_eiv_trp 678 679 680 SUBROUTINE ldf_eiv_dia( psi_uw, psi_vw ) 681 !!---------------------------------------------------------------------- 682 !! *** ROUTINE ldf_eiv_dia *** 683 !! 684 !! ** Purpose : diagnose the eddy induced velocity and its associated 685 !! vertically integrated heat transport. 686 !! 687 !! ** Method : 688 !! 689 !!---------------------------------------------------------------------- 690 REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: psi_uw, psi_vw ! streamfunction [m3/s] 691 ! 692 INTEGER :: ji, jj, jk ! dummy loop indices 693 REAL(wp) :: zztmp ! local scalar 694 REAL(wp), DIMENSION(:,:) , POINTER :: zw2d ! 2D workspace 695 REAL(wp), DIMENSION(:,:,:), POINTER :: zw3d ! 3D workspace 696 !!---------------------------------------------------------------------- 697 ! 698 IF( nn_timing == 1 ) CALL timing_start( 'ldf_eiv_dia') 699 ! 700 ! !== eiv stream function: output ==! 701 CALL lbc_lnk( psi_uw, 'U', -1. ) ! lateral boundary condition 702 CALL lbc_lnk( psi_vw, 'V', -1. ) 703 ! 704 !!gm CALL iom_put( "psi_eiv_uw", psi_uw ) ! output 705 !!gm CALL iom_put( "psi_eiv_vw", psi_vw ) 706 ! 707 ! !== eiv velocities: calculate and output ==! 708 CALL wrk_alloc( jpi,jpj,jpk, zw3d ) 709 ! 710 zw3d(:,:,jpk) = 0._wp ! bottom value always 0 711 ! 712 DO jk = 1, jpkm1 ! e2u e3u u_eiv = -dk[psi_uw] 713 zw3d(:,:,jk) = ( psi_uw(:,:,jk+1) - psi_uw(:,:,jk) ) / ( e2u(:,:) * fse3u(:,:,jk) ) 714 END DO 715 CALL iom_put( "uoce_eiv", zw3d ) 716 ! 717 DO jk = 1, jpkm1 ! e1v e3v v_eiv = -dk[psi_vw] 718 zw3d(:,:,jk) = ( psi_vw(:,:,jk+1) - psi_vw(:,:,jk) ) / ( e1v(:,:) * fse3v(:,:,jk) ) 719 END DO 720 CALL iom_put( "voce_eiv", zw3d ) 721 ! 722 DO jk = 1, jpkm1 ! e1 e2 w_eiv = dk[psix] + dk[psix] 723 DO jj = 2, jpjm1 724 DO ji = fs_2, fs_jpim1 ! vector opt. 725 zw3d(ji,jj,jk) = ( psi_vw(ji,jj,jk) - psi_vw(ji ,jj-1,jk) & 726 & + psi_uw(ji,jj,jk) - psi_uw(ji-1,jj ,jk) ) / e1e2t(ji,jj) 727 END DO 728 END DO 729 END DO 730 CALL lbc_lnk( zw3d, 'T', 1. ) ! lateral boundary condition 731 CALL iom_put( "woce_eiv", zw3d ) 732 ! 733 CALL wrk_dealloc( jpi,jpj,jpk, zw3d ) 734 ! 735 ! 736 IF( lk_diaar5 ) THEN !== eiv heat transport: calculate and output ==! 737 CALL wrk_alloc( jpi,jpj, zw2d ) 738 ! 739 zztmp = 0.5_wp * rau0 * rcp 740 zw2d(:,:) = 0._wp 741 DO jk = 1, jpkm1 742 DO jj = 2, jpjm1 743 DO ji = fs_2, fs_jpim1 ! vector opt. 744 zw2d(ji,jj) = zw2d(ji,jj) + zztmp * ( psi_uw(ji,jj,jk+1) - psi_uw(ji,jj,jk) ) & 745 & * ( tsn (ji,jj,jk,jp_tem) + tsn (ji+1,jj,jk,jp_tem) ) 746 END DO 747 END DO 748 END DO 749 CALL lbc_lnk( zw2d, 'U', -1. ) 750 CALL iom_put( "ueiv_heattr", zw2d ) ! heat transport in i-direction 751 zw2d(:,:) = 0._wp 752 DO jk = 1, jpkm1 753 DO jj = 2, jpjm1 754 DO ji = fs_2, fs_jpim1 ! vector opt. 755 zw2d(ji,jj) = zw2d(ji,jj) + zztmp * ( psi_vw(ji,jj,jk+1) - psi_vw(ji,jj,jk) ) & 756 & * ( tsn (ji,jj,jk,jp_tem) + tsn (ji,jj+1,jk,jp_tem) ) 757 END DO 758 END DO 759 END DO 760 CALL lbc_lnk( zw2d, 'V', -1. ) 761 CALL iom_put( "veiv_heattr", zw2d ) ! heat transport in i-direction 762 ! 763 CALL wrk_dealloc( jpi,jpj, zw2d ) 764 ENDIF 765 ! 766 IF( nn_timing == 1 ) CALL timing_stop( 'ldf_eiv_dia') 767 ! 768 END SUBROUTINE ldf_eiv_dia 188 769 189 770 !!======================================================================
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