[3] | 1 | MODULE domzgr |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE domzgr *** |
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| 4 | !! Ocean initialization : domain initialization |
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| 5 | !!============================================================================== |
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[1566] | 6 | !! History : OPA ! 1995-12 (G. Madec) Original code : s vertical coordinate |
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| 7 | !! ! 1997-07 (G. Madec) lbc_lnk call |
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| 8 | !! ! 1997-04 (J.-O. Beismann) |
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[2528] | 9 | !! 8.5 ! 2002-09 (A. Bozec, G. Madec) F90: Free form and module |
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| 10 | !! - ! 2002-09 (A. de Miranda) rigid-lid + islands |
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[1566] | 11 | !! NEMO 1.0 ! 2003-08 (G. Madec) F90: Free form and module |
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| 12 | !! - ! 2005-10 (A. Beckmann) modifications for hybrid s-ccordinates & new stretching function |
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| 13 | !! 2.0 ! 2006-04 (R. Benshila, G. Madec) add zgr_zco |
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| 14 | !! 3.0 ! 2008-06 (G. Madec) insertion of domzgr_zps.h90 & conding style |
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| 15 | !! 3.2 ! 2009-07 (R. Benshila) Suppression of rigid-lid option |
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[2528] | 16 | !! 3.3 ! 2010-11 (G. Madec) add mbk. arrays associated to the deepest ocean level |
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[3680] | 17 | !! 3.4 ! 2012-08 (J. Siddorn) added Siddorn and Furner stretching function |
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[3764] | 18 | !! 3.4 ! 2012-12 (R. Bourdalle-Badie and G. Reffray) modify C1D case |
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[5014] | 19 | !! 3.6 ! 2014-09 (H. Liu) Modifications for Wetting/Drying |
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[1099] | 20 | !!---------------------------------------------------------------------- |
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[3] | 21 | |
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| 22 | !!---------------------------------------------------------------------- |
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[1099] | 23 | !! dom_zgr : defined the ocean vertical coordinate system |
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[3] | 24 | !! zgr_bat : bathymetry fields (levels and meters) |
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| 25 | !! zgr_bat_zoom : modify the bathymetry field if zoom domain |
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| 26 | !! zgr_bat_ctl : check the bathymetry files |
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[2528] | 27 | !! zgr_bot_level: deepest ocean level for t-, u, and v-points |
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[3] | 28 | !! zgr_z : reference z-coordinate |
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[454] | 29 | !! zgr_zco : z-coordinate |
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[3] | 30 | !! zgr_zps : z-coordinate with partial steps |
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[454] | 31 | !! zgr_sco : s-coordinate |
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[3680] | 32 | !! fssig : tanh stretch function |
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| 33 | !! fssig1 : Song and Haidvogel 1994 stretch function |
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| 34 | !! fgamma : Siddorn and Furner 2012 stretching function |
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[3] | 35 | !!--------------------------------------------------------------------- |
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[2528] | 36 | USE oce ! ocean variables |
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| 37 | USE dom_oce ! ocean domain |
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| 38 | USE closea ! closed seas |
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| 39 | USE c1d ! 1D vertical configuration |
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| 40 | USE in_out_manager ! I/O manager |
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| 41 | USE iom ! I/O library |
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| 42 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 43 | USE lib_mpp ! distributed memory computing library |
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[3764] | 44 | USE wrk_nemo ! Memory allocation |
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| 45 | USE timing ! Timing |
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[3] | 46 | |
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| 47 | IMPLICIT NONE |
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| 48 | PRIVATE |
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| 49 | |
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[2715] | 50 | PUBLIC dom_zgr ! called by dom_init.F90 |
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[3] | 51 | |
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[4147] | 52 | ! !!* Namelist namzgr_sco * |
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| 53 | LOGICAL :: ln_s_sh94 ! use hybrid s-sig Song and Haidvogel 1994 stretching function fssig1 (ln_sco=T) |
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| 54 | LOGICAL :: ln_s_sf12 ! use hybrid s-z-sig Siddorn and Furner 2012 stretching function fgamma (ln_sco=T) |
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[3680] | 55 | ! |
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[4147] | 56 | REAL(wp) :: rn_sbot_min ! minimum depth of s-bottom surface (>0) (m) |
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| 57 | REAL(wp) :: rn_sbot_max ! maximum depth of s-bottom surface (= ocean depth) (>0) (m) |
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| 58 | REAL(wp) :: rn_rmax ! maximum cut-off r-value allowed (0<rn_rmax<1) |
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| 59 | REAL(wp) :: rn_hc ! Critical depth for transition from sigma to stretched coordinates |
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[3680] | 60 | ! Song and Haidvogel 1994 stretching parameters |
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[4147] | 61 | REAL(wp) :: rn_theta ! surface control parameter (0<=rn_theta<=20) |
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| 62 | REAL(wp) :: rn_thetb ! bottom control parameter (0<=rn_thetb<= 1) |
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| 63 | REAL(wp) :: rn_bb ! stretching parameter |
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[2528] | 64 | ! ! ( rn_bb=0; top only, rn_bb =1; top and bottom) |
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[3680] | 65 | ! Siddorn and Furner stretching parameters |
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[4147] | 66 | LOGICAL :: ln_sigcrit ! use sigma coordinates below critical depth (T) or Z coordinates (F) for Siddorn & Furner stretch |
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| 67 | REAL(wp) :: rn_alpha ! control parameter ( > 1 stretch towards surface, < 1 towards seabed) |
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| 68 | REAL(wp) :: rn_efold ! efold length scale for transition to stretched coord |
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| 69 | REAL(wp) :: rn_zs ! depth of surface grid box |
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[3680] | 70 | ! bottom cell depth (Zb) is a linear function of water depth Zb = H*a + b |
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[4147] | 71 | REAL(wp) :: rn_zb_a ! bathymetry scaling factor for calculating Zb |
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| 72 | REAL(wp) :: rn_zb_b ! offset for calculating Zb |
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[2715] | 73 | |
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| 74 | !! * Substitutions |
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[3] | 75 | # include "domzgr_substitute.h90" |
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| 76 | # include "vectopt_loop_substitute.h90" |
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| 77 | !!---------------------------------------------------------------------- |
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[2715] | 78 | !! NEMO/OPA 3.3.1 , NEMO Consortium (2011) |
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[1146] | 79 | !! $Id$ |
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[2528] | 80 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 81 | !!---------------------------------------------------------------------- |
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| 82 | CONTAINS |
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| 83 | |
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| 84 | SUBROUTINE dom_zgr |
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| 85 | !!---------------------------------------------------------------------- |
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| 86 | !! *** ROUTINE dom_zgr *** |
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| 87 | !! |
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[3764] | 88 | !! ** Purpose : set the depth of model levels and the resulting |
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| 89 | !! vertical scale factors. |
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[3] | 90 | !! |
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[4292] | 91 | !! ** Method : - reference 1D vertical coordinate (gdep._1d, e3._1d) |
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[1099] | 92 | !! - read/set ocean depth and ocean levels (bathy, mbathy) |
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| 93 | !! - vertical coordinate (gdep., e3.) depending on the |
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| 94 | !! coordinate chosen : |
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[2528] | 95 | !! ln_zco=T z-coordinate |
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[1099] | 96 | !! ln_zps=T z-coordinate with partial steps |
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| 97 | !! ln_zco=T s-coordinate |
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[3] | 98 | !! |
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[1099] | 99 | !! ** Action : define gdep., e3., mbathy and bathy |
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| 100 | !!---------------------------------------------------------------------- |
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[3764] | 101 | INTEGER :: ioptio, ibat ! local integer |
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[4147] | 102 | INTEGER :: ios |
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[2528] | 103 | ! |
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[1601] | 104 | NAMELIST/namzgr/ ln_zco, ln_zps, ln_sco |
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[3] | 105 | !!---------------------------------------------------------------------- |
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[3294] | 106 | ! |
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[3764] | 107 | IF( nn_timing == 1 ) CALL timing_start('dom_zgr') |
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[3294] | 108 | ! |
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[4147] | 109 | REWIND( numnam_ref ) ! Namelist namzgr in reference namelist : Vertical coordinate |
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| 110 | READ ( numnam_ref, namzgr, IOSTAT = ios, ERR = 901 ) |
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| 111 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzgr in reference namelist', lwp ) |
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[454] | 112 | |
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[4147] | 113 | REWIND( numnam_cfg ) ! Namelist namzgr in configuration namelist : Vertical coordinate |
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| 114 | READ ( numnam_cfg, namzgr, IOSTAT = ios, ERR = 902 ) |
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| 115 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzgr in configuration namelist', lwp ) |
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[4624] | 116 | IF(lwm) WRITE ( numond, namzgr ) |
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[4147] | 117 | |
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[1099] | 118 | IF(lwp) THEN ! Control print |
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[454] | 119 | WRITE(numout,*) |
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| 120 | WRITE(numout,*) 'dom_zgr : vertical coordinate' |
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| 121 | WRITE(numout,*) '~~~~~~~' |
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[1601] | 122 | WRITE(numout,*) ' Namelist namzgr : set vertical coordinate' |
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[454] | 123 | WRITE(numout,*) ' z-coordinate - full steps ln_zco = ', ln_zco |
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| 124 | WRITE(numout,*) ' z-coordinate - partial steps ln_zps = ', ln_zps |
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| 125 | WRITE(numout,*) ' s- or hybrid z-s-coordinate ln_sco = ', ln_sco |
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| 126 | ENDIF |
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| 127 | |
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[1099] | 128 | ioptio = 0 ! Check Vertical coordinate options |
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[3764] | 129 | IF( ln_zco ) ioptio = ioptio + 1 |
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| 130 | IF( ln_zps ) ioptio = ioptio + 1 |
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| 131 | IF( ln_sco ) ioptio = ioptio + 1 |
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[2528] | 132 | IF( ioptio /= 1 ) CALL ctl_stop( ' none or several vertical coordinate options used' ) |
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| 133 | ! |
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[3] | 134 | ! Build the vertical coordinate system |
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| 135 | ! ------------------------------------ |
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[2528] | 136 | CALL zgr_z ! Reference z-coordinate system (always called) |
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| 137 | CALL zgr_bat ! Bathymetry fields (levels and meters) |
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[3764] | 138 | IF( lk_c1d ) CALL lbc_lnk( bathy , 'T', 1._wp ) ! 1D config.: same bathy value over the 3x3 domain |
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[2528] | 139 | IF( ln_zco ) CALL zgr_zco ! z-coordinate |
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| 140 | IF( ln_zps ) CALL zgr_zps ! Partial step z-coordinate |
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| 141 | IF( ln_sco ) CALL zgr_sco ! s-coordinate or hybrid z-s coordinate |
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[2465] | 142 | ! |
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[2528] | 143 | ! final adjustment of mbathy & check |
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| 144 | ! ----------------------------------- |
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| 145 | IF( lzoom ) CALL zgr_bat_zoom ! correct mbathy in case of zoom subdomain |
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[3764] | 146 | IF( .NOT.lk_c1d ) CALL zgr_bat_ctl ! check bathymetry (mbathy) and suppress isolated ocean points |
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[2528] | 147 | CALL zgr_bot_level ! deepest ocean level for t-, u- and v-points |
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| 148 | ! |
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[3764] | 149 | IF( lk_c1d ) THEN ! 1D config.: same mbathy value over the 3x3 domain |
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| 150 | ibat = mbathy(2,2) |
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| 151 | mbathy(:,:) = ibat |
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| 152 | END IF |
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[2528] | 153 | ! |
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[1348] | 154 | IF( nprint == 1 .AND. lwp ) THEN |
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| 155 | WRITE(numout,*) ' MIN val mbathy ', MINVAL( mbathy(:,:) ), ' MAX ', MAXVAL( mbathy(:,:) ) |
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[4292] | 156 | WRITE(numout,*) ' MIN val depth t ', MINVAL( gdept_0(:,:,:) ), & |
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| 157 | & ' w ', MINVAL( gdepw_0(:,:,:) ), '3w ', MINVAL( gdep3w_0(:,:,:) ) |
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| 158 | WRITE(numout,*) ' MIN val e3 t ', MINVAL( e3t_0(:,:,:) ), ' f ', MINVAL( e3f_0(:,:,:) ), & |
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| 159 | & ' u ', MINVAL( e3u_0(:,:,:) ), ' u ', MINVAL( e3v_0(:,:,:) ), & |
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| 160 | & ' uw', MINVAL( e3uw_0(:,:,:)), ' vw', MINVAL( e3vw_0(:,:,:)), & |
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| 161 | & ' w ', MINVAL( e3w_0(:,:,:) ) |
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[1348] | 162 | |
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[4292] | 163 | WRITE(numout,*) ' MAX val depth t ', MAXVAL( gdept_0(:,:,:) ), & |
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| 164 | & ' w ', MAXVAL( gdepw_0(:,:,:) ), '3w ', MAXVAL( gdep3w_0(:,:,:) ) |
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| 165 | WRITE(numout,*) ' MAX val e3 t ', MAXVAL( e3t_0(:,:,:) ), ' f ', MAXVAL( e3f_0(:,:,:) ), & |
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| 166 | & ' u ', MAXVAL( e3u_0(:,:,:) ), ' u ', MAXVAL( e3v_0(:,:,:) ), & |
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| 167 | & ' uw', MAXVAL( e3uw_0(:,:,:)), ' vw', MAXVAL( e3vw_0(:,:,:)), & |
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| 168 | & ' w ', MAXVAL( e3w_0(:,:,:) ) |
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[1348] | 169 | ENDIF |
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[2528] | 170 | ! |
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[3294] | 171 | IF( nn_timing == 1 ) CALL timing_stop('dom_zgr') |
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| 172 | ! |
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[3] | 173 | END SUBROUTINE dom_zgr |
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| 174 | |
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| 175 | |
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| 176 | SUBROUTINE zgr_z |
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| 177 | !!---------------------------------------------------------------------- |
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| 178 | !! *** ROUTINE zgr_z *** |
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[4292] | 179 | !! |
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[3] | 180 | !! ** Purpose : set the depth of model levels and the resulting |
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| 181 | !! vertical scale factors. |
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| 182 | !! |
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| 183 | !! ** Method : z-coordinate system (use in all type of coordinate) |
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| 184 | !! The depth of model levels is defined from an analytical |
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| 185 | !! function the derivative of which gives the scale factors. |
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| 186 | !! both depth and scale factors only depend on k (1d arrays). |
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[4292] | 187 | !! w-level: gdepw_1d = gdep(k) |
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| 188 | !! e3w_1d(k) = dk(gdep)(k) = e3(k) |
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| 189 | !! t-level: gdept_1d = gdep(k+0.5) |
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| 190 | !! e3t_1d(k) = dk(gdep)(k+0.5) = e3(k+0.5) |
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[3] | 191 | !! |
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[4292] | 192 | !! ** Action : - gdept_1d, gdepw_1d : depth of T- and W-point (m) |
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| 193 | !! - e3t_1d , e3w_1d : scale factors at T- and W-levels (m) |
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[3] | 194 | !! |
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[1099] | 195 | !! Reference : Marti, Madec & Delecluse, 1992, JGR, 97, No8, 12,763-12,766. |
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[3] | 196 | !!---------------------------------------------------------------------- |
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| 197 | INTEGER :: jk ! dummy loop indices |
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| 198 | REAL(wp) :: zt, zw ! temporary scalars |
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[1099] | 199 | REAL(wp) :: zsur, za0, za1, zkth ! Values set from parameters in |
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| 200 | REAL(wp) :: zacr, zdzmin, zhmax ! par_CONFIG_Rxx.h90 |
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[1577] | 201 | REAL(wp) :: zrefdep ! depth of the reference level (~10m) |
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[2528] | 202 | REAL(wp) :: za2, zkth2, zacr2 ! Values for optional double tanh function set from parameters |
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[3] | 203 | !!---------------------------------------------------------------------- |
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[3294] | 204 | ! |
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| 205 | IF( nn_timing == 1 ) CALL timing_start('zgr_z') |
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| 206 | ! |
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[3] | 207 | ! Set variables from parameters |
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| 208 | ! ------------------------------ |
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| 209 | zkth = ppkth ; zacr = ppacr |
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| 210 | zdzmin = ppdzmin ; zhmax = pphmax |
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[2528] | 211 | zkth2 = ppkth2 ; zacr2 = ppacr2 ! optional (ldbletanh=T) double tanh parameters |
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[3] | 212 | |
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| 213 | ! If ppa1 and ppa0 and ppsur are et to pp_to_be_computed |
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| 214 | ! za0, za1, zsur are computed from ppdzmin , pphmax, ppkth, ppacr |
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[1099] | 215 | IF( ppa1 == pp_to_be_computed .AND. & |
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[3] | 216 | & ppa0 == pp_to_be_computed .AND. & |
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| 217 | & ppsur == pp_to_be_computed ) THEN |
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[1099] | 218 | ! |
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| 219 | za1 = ( ppdzmin - pphmax / FLOAT(jpkm1) ) & |
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| 220 | & / ( TANH((1-ppkth)/ppacr) - ppacr/FLOAT(jpk-1) * ( LOG( COSH( (jpk - ppkth) / ppacr) ) & |
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| 221 | & - LOG( COSH( ( 1 - ppkth) / ppacr) ) ) ) |
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| 222 | za0 = ppdzmin - za1 * TANH( (1-ppkth) / ppacr ) |
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| 223 | zsur = - za0 - za1 * ppacr * LOG( COSH( (1-ppkth) / ppacr ) ) |
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| 224 | ELSE |
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[3] | 225 | za1 = ppa1 ; za0 = ppa0 ; zsur = ppsur |
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[2528] | 226 | za2 = ppa2 ! optional (ldbletanh=T) double tanh parameter |
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[1099] | 227 | ENDIF |
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[3] | 228 | |
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[1099] | 229 | IF(lwp) THEN ! Parameter print |
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[3] | 230 | WRITE(numout,*) |
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| 231 | WRITE(numout,*) ' zgr_z : Reference vertical z-coordinates' |
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| 232 | WRITE(numout,*) ' ~~~~~~~' |
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[2528] | 233 | IF( ppkth == 0._wp ) THEN |
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[250] | 234 | WRITE(numout,*) ' Uniform grid with ',jpk-1,' layers' |
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| 235 | WRITE(numout,*) ' Total depth :', zhmax |
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| 236 | WRITE(numout,*) ' Layer thickness:', zhmax/(jpk-1) |
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| 237 | ELSE |
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[2528] | 238 | IF( ppa1 == 0._wp .AND. ppa0 == 0._wp .AND. ppsur == 0._wp ) THEN |
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[250] | 239 | WRITE(numout,*) ' zsur, za0, za1 computed from ' |
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| 240 | WRITE(numout,*) ' zdzmin = ', zdzmin |
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| 241 | WRITE(numout,*) ' zhmax = ', zhmax |
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| 242 | ENDIF |
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| 243 | WRITE(numout,*) ' Value of coefficients for vertical mesh:' |
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| 244 | WRITE(numout,*) ' zsur = ', zsur |
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| 245 | WRITE(numout,*) ' za0 = ', za0 |
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| 246 | WRITE(numout,*) ' za1 = ', za1 |
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| 247 | WRITE(numout,*) ' zkth = ', zkth |
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| 248 | WRITE(numout,*) ' zacr = ', zacr |
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[2528] | 249 | IF( ldbletanh ) THEN |
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| 250 | WRITE(numout,*) ' (Double tanh za2 = ', za2 |
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| 251 | WRITE(numout,*) ' parameters) zkth2= ', zkth2 |
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| 252 | WRITE(numout,*) ' zacr2= ', zacr2 |
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| 253 | ENDIF |
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[3] | 254 | ENDIF |
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| 255 | ENDIF |
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| 256 | |
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| 257 | |
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| 258 | ! Reference z-coordinate (depth - scale factor at T- and W-points) |
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| 259 | ! ====================== |
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[2528] | 260 | IF( ppkth == 0._wp ) THEN ! uniform vertical grid |
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[454] | 261 | za1 = zhmax / FLOAT(jpk-1) |
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[250] | 262 | DO jk = 1, jpk |
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| 263 | zw = FLOAT( jk ) |
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[2528] | 264 | zt = FLOAT( jk ) + 0.5_wp |
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[4292] | 265 | gdepw_1d(jk) = ( zw - 1 ) * za1 |
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| 266 | gdept_1d(jk) = ( zt - 1 ) * za1 |
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| 267 | e3w_1d (jk) = za1 |
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| 268 | e3t_1d (jk) = za1 |
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[250] | 269 | END DO |
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[1099] | 270 | ELSE ! Madec & Imbard 1996 function |
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[2528] | 271 | IF( .NOT. ldbletanh ) THEN |
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| 272 | DO jk = 1, jpk |
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| 273 | zw = REAL( jk , wp ) |
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| 274 | zt = REAL( jk , wp ) + 0.5_wp |
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[4292] | 275 | gdepw_1d(jk) = ( zsur + za0 * zw + za1 * zacr * LOG ( COSH( (zw-zkth) / zacr ) ) ) |
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| 276 | gdept_1d(jk) = ( zsur + za0 * zt + za1 * zacr * LOG ( COSH( (zt-zkth) / zacr ) ) ) |
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| 277 | e3w_1d (jk) = za0 + za1 * TANH( (zw-zkth) / zacr ) |
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| 278 | e3t_1d (jk) = za0 + za1 * TANH( (zt-zkth) / zacr ) |
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[2528] | 279 | END DO |
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| 280 | ELSE |
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| 281 | DO jk = 1, jpk |
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| 282 | zw = FLOAT( jk ) |
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| 283 | zt = FLOAT( jk ) + 0.5_wp |
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| 284 | ! Double tanh function |
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[4292] | 285 | gdepw_1d(jk) = ( zsur + za0 * zw + za1 * zacr * LOG ( COSH( (zw-zkth ) / zacr ) ) & |
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| 286 | & + za2 * zacr2* LOG ( COSH( (zw-zkth2) / zacr2 ) ) ) |
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| 287 | gdept_1d(jk) = ( zsur + za0 * zt + za1 * zacr * LOG ( COSH( (zt-zkth ) / zacr ) ) & |
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| 288 | & + za2 * zacr2* LOG ( COSH( (zt-zkth2) / zacr2 ) ) ) |
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| 289 | e3w_1d (jk) = za0 + za1 * TANH( (zw-zkth ) / zacr ) & |
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| 290 | & + za2 * TANH( (zw-zkth2) / zacr2 ) |
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| 291 | e3t_1d (jk) = za0 + za1 * TANH( (zt-zkth ) / zacr ) & |
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| 292 | & + za2 * TANH( (zt-zkth2) / zacr2 ) |
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[2528] | 293 | END DO |
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| 294 | ENDIF |
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[4292] | 295 | gdepw_1d(1) = 0._wp ! force first w-level to be exactly at zero |
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[250] | 296 | ENDIF |
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| 297 | |
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[1601] | 298 | !!gm BUG in s-coordinate this does not work! |
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[2528] | 299 | ! deepest/shallowest W level Above/Below ~10m |
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[4292] | 300 | zrefdep = 10._wp - 0.1_wp * MINVAL( e3w_1d ) ! ref. depth with tolerance (10% of minimum layer thickness) |
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| 301 | nlb10 = MINLOC( gdepw_1d, mask = gdepw_1d > zrefdep, dim = 1 ) ! shallowest W level Below ~10m |
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[5074] | 302 | nlb10 = MAX(nlb10, 2) ! prevent nla10 = 0 |
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[2528] | 303 | nla10 = nlb10 - 1 ! deepest W level Above ~10m |
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[1601] | 304 | !!gm end bug |
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[1577] | 305 | |
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[1099] | 306 | IF(lwp) THEN ! control print |
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[3] | 307 | WRITE(numout,*) |
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| 308 | WRITE(numout,*) ' Reference z-coordinate depth and scale factors:' |
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[4292] | 309 | WRITE(numout, "(9x,' level gdept_1d gdepw_1d e3t_1d e3w_1d ')" ) |
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| 310 | WRITE(numout, "(10x, i4, 4f9.2)" ) ( jk, gdept_1d(jk), gdepw_1d(jk), e3t_1d(jk), e3w_1d(jk), jk = 1, jpk ) |
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[3] | 311 | ENDIF |
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[1099] | 312 | DO jk = 1, jpk ! control positivity |
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[4292] | 313 | IF( e3w_1d (jk) <= 0._wp .OR. e3t_1d (jk) <= 0._wp ) CALL ctl_stop( 'dom:zgr_z: e3w_1d or e3t_1d =< 0 ' ) |
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| 314 | IF( gdepw_1d(jk) < 0._wp .OR. gdept_1d(jk) < 0._wp ) CALL ctl_stop( 'dom:zgr_z: gdepw_1d or gdept_1d < 0 ' ) |
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[3] | 315 | END DO |
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[1099] | 316 | ! |
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[3294] | 317 | IF( nn_timing == 1 ) CALL timing_stop('zgr_z') |
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| 318 | ! |
---|
[3] | 319 | END SUBROUTINE zgr_z |
---|
| 320 | |
---|
| 321 | |
---|
| 322 | SUBROUTINE zgr_bat |
---|
| 323 | !!---------------------------------------------------------------------- |
---|
| 324 | !! *** ROUTINE zgr_bat *** |
---|
| 325 | !! |
---|
| 326 | !! ** Purpose : set bathymetry both in levels and meters |
---|
| 327 | !! |
---|
| 328 | !! ** Method : read or define mbathy and bathy arrays |
---|
| 329 | !! * level bathymetry: |
---|
| 330 | !! The ocean basin geometry is given by a two-dimensional array, |
---|
| 331 | !! mbathy, which is defined as follow : |
---|
| 332 | !! mbathy(ji,jj) = 1, ..., jpk-1, the number of ocean level |
---|
| 333 | !! at t-point (ji,jj). |
---|
| 334 | !! = 0 over the continental t-point. |
---|
| 335 | !! The array mbathy is checked to verified its consistency with |
---|
| 336 | !! model option. in particular: |
---|
| 337 | !! mbathy must have at least 1 land grid-points (mbathy<=0) |
---|
| 338 | !! along closed boundary. |
---|
| 339 | !! mbathy must be cyclic IF jperio=1. |
---|
| 340 | !! mbathy must be lower or equal to jpk-1. |
---|
| 341 | !! isolated ocean grid points are suppressed from mbathy |
---|
| 342 | !! since they are only connected to remaining |
---|
| 343 | !! ocean through vertical diffusion. |
---|
| 344 | !! ntopo=-1 : rectangular channel or bassin with a bump |
---|
| 345 | !! ntopo= 0 : flat rectangular channel or basin |
---|
[128] | 346 | !! ntopo= 1 : mbathy is read in 'bathy_level.nc' NetCDF file |
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[3] | 347 | !! bathy is read in 'bathy_meter.nc' NetCDF file |
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| 348 | !! |
---|
| 349 | !! ** Action : - mbathy: level bathymetry (in level index) |
---|
| 350 | !! - bathy : meter bathymetry (in meters) |
---|
| 351 | !!---------------------------------------------------------------------- |
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[1099] | 352 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
---|
| 353 | INTEGER :: inum ! temporary logical unit |
---|
[1348] | 354 | INTEGER :: ii_bump, ij_bump, ih ! bump center position |
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[2528] | 355 | INTEGER :: ii0, ii1, ij0, ij1, ik ! local indices |
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[1099] | 356 | REAL(wp) :: r_bump , h_bump , h_oce ! bump characteristics |
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[2528] | 357 | REAL(wp) :: zi, zj, zh, zhmin ! local scalars |
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[3294] | 358 | INTEGER , POINTER, DIMENSION(:,:) :: idta ! global domain integer data |
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| 359 | REAL(wp), POINTER, DIMENSION(:,:) :: zdta ! global domain scalar data |
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[3] | 360 | !!---------------------------------------------------------------------- |
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[3294] | 361 | ! |
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| 362 | IF( nn_timing == 1 ) CALL timing_start('zgr_bat') |
---|
| 363 | ! |
---|
| 364 | CALL wrk_alloc( jpidta, jpjdta, idta ) |
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| 365 | CALL wrk_alloc( jpidta, jpjdta, zdta ) |
---|
| 366 | ! |
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[3] | 367 | IF(lwp) WRITE(numout,*) |
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| 368 | IF(lwp) WRITE(numout,*) ' zgr_bat : defines level and meter bathymetry' |
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| 369 | IF(lwp) WRITE(numout,*) ' ~~~~~~~' |
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[1099] | 370 | ! ! ================== ! |
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| 371 | IF( ntopo == 0 .OR. ntopo == -1 ) THEN ! defined by hand ! |
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| 372 | ! ! ================== ! |
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| 373 | ! ! global domain level and meter bathymetry (idta,zdta) |
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| 374 | ! |
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[3] | 375 | IF( ntopo == 0 ) THEN ! flat basin |
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| 376 | IF(lwp) WRITE(numout,*) |
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| 377 | IF(lwp) WRITE(numout,*) ' bathymetry field: flat basin' |
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[4245] | 378 | IF( rn_bathy > 0.01 ) THEN |
---|
| 379 | IF(lwp) WRITE(numout,*) ' Depth = rn_bathy read in namelist' |
---|
| 380 | zdta(:,:) = rn_bathy |
---|
| 381 | IF( ln_sco ) THEN ! s-coordinate (zsc ): idta()=jpk |
---|
| 382 | idta(:,:) = jpkm1 |
---|
| 383 | ELSE ! z-coordinate (zco or zps): step-like topography |
---|
| 384 | idta(:,:) = jpkm1 |
---|
| 385 | DO jk = 1, jpkm1 |
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[4292] | 386 | WHERE( gdept_1d(jk) < zdta(:,:) .AND. zdta(:,:) <= gdept_1d(jk+1) ) idta(:,:) = jk |
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[4245] | 387 | END DO |
---|
| 388 | ENDIF |
---|
| 389 | ELSE |
---|
| 390 | IF(lwp) WRITE(numout,*) ' Depth = depthw(jpkm1)' |
---|
| 391 | idta(:,:) = jpkm1 ! before last level |
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[4292] | 392 | zdta(:,:) = gdepw_1d(jpk) ! last w-point depth |
---|
| 393 | h_oce = gdepw_1d(jpk) |
---|
[4245] | 394 | ENDIF |
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[1099] | 395 | ELSE ! bump centered in the basin |
---|
[3] | 396 | IF(lwp) WRITE(numout,*) |
---|
| 397 | IF(lwp) WRITE(numout,*) ' bathymetry field: flat basin with a bump' |
---|
[1099] | 398 | ii_bump = jpidta / 2 ! i-index of the bump center |
---|
| 399 | ij_bump = jpjdta / 2 ! j-index of the bump center |
---|
[2528] | 400 | r_bump = 50000._wp ! bump radius (meters) |
---|
| 401 | h_bump = 2700._wp ! bump height (meters) |
---|
[4292] | 402 | h_oce = gdepw_1d(jpk) ! background ocean depth (meters) |
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[3] | 403 | IF(lwp) WRITE(numout,*) ' bump characteristics: ' |
---|
| 404 | IF(lwp) WRITE(numout,*) ' bump center (i,j) = ', ii_bump, ii_bump |
---|
| 405 | IF(lwp) WRITE(numout,*) ' bump height = ', h_bump , ' meters' |
---|
| 406 | IF(lwp) WRITE(numout,*) ' bump radius = ', r_bump , ' index' |
---|
| 407 | IF(lwp) WRITE(numout,*) ' background ocean depth = ', h_oce , ' meters' |
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[1099] | 408 | ! |
---|
| 409 | DO jj = 1, jpjdta ! zdta : |
---|
[3] | 410 | DO ji = 1, jpidta |
---|
[592] | 411 | zi = FLOAT( ji - ii_bump ) * ppe1_m / r_bump |
---|
| 412 | zj = FLOAT( jj - ij_bump ) * ppe2_m / r_bump |
---|
[3] | 413 | zdta(ji,jj) = h_oce - h_bump * EXP( -( zi*zi + zj*zj ) ) |
---|
| 414 | END DO |
---|
| 415 | END DO |
---|
[1099] | 416 | ! ! idta : |
---|
| 417 | IF( ln_sco ) THEN ! s-coordinate (zsc ): idta()=jpk |
---|
[454] | 418 | idta(:,:) = jpkm1 |
---|
[1099] | 419 | ELSE ! z-coordinate (zco or zps): step-like topography |
---|
[454] | 420 | idta(:,:) = jpkm1 |
---|
| 421 | DO jk = 1, jpkm1 |
---|
[4292] | 422 | WHERE( gdept_1d(jk) < zdta(:,:) .AND. zdta(:,:) <= gdept_1d(jk+1) ) idta(:,:) = jk |
---|
[3] | 423 | END DO |
---|
[454] | 424 | ENDIF |
---|
[3] | 425 | ENDIF |
---|
[1099] | 426 | ! ! set GLOBAL boundary conditions |
---|
| 427 | ! ! Caution : idta on the global domain: use of jperio, not nperio |
---|
[3] | 428 | IF( jperio == 1 .OR. jperio == 4 .OR. jperio == 6 ) THEN |
---|
[2528] | 429 | idta( : , 1 ) = -1 ; zdta( : , 1 ) = -1._wp |
---|
| 430 | idta( : ,jpjdta) = 0 ; zdta( : ,jpjdta) = 0._wp |
---|
[3] | 431 | ELSEIF( jperio == 2 ) THEN |
---|
[30] | 432 | idta( : , 1 ) = idta( : , 3 ) ; zdta( : , 1 ) = zdta( : , 3 ) |
---|
[2528] | 433 | idta( : ,jpjdta) = 0 ; zdta( : ,jpjdta) = 0._wp |
---|
| 434 | idta( 1 , : ) = 0 ; zdta( 1 , : ) = 0._wp |
---|
| 435 | idta(jpidta, : ) = 0 ; zdta(jpidta, : ) = 0._wp |
---|
[3] | 436 | ELSE |
---|
[2528] | 437 | ih = 0 ; zh = 0._wp |
---|
[525] | 438 | IF( ln_sco ) ih = jpkm1 ; IF( ln_sco ) zh = h_oce |
---|
[454] | 439 | idta( : , 1 ) = ih ; zdta( : , 1 ) = zh |
---|
| 440 | idta( : ,jpjdta) = ih ; zdta( : ,jpjdta) = zh |
---|
| 441 | idta( 1 , : ) = ih ; zdta( 1 , : ) = zh |
---|
| 442 | idta(jpidta, : ) = ih ; zdta(jpidta, : ) = zh |
---|
[3] | 443 | ENDIF |
---|
| 444 | |
---|
[1099] | 445 | ! ! local domain level and meter bathymetries (mbathy,bathy) |
---|
| 446 | mbathy(:,:) = 0 ! set to zero extra halo points |
---|
[2528] | 447 | bathy (:,:) = 0._wp ! (require for mpp case) |
---|
[1099] | 448 | DO jj = 1, nlcj ! interior values |
---|
[473] | 449 | DO ji = 1, nlci |
---|
| 450 | mbathy(ji,jj) = idta( mig(ji), mjg(jj) ) |
---|
| 451 | bathy (ji,jj) = zdta( mig(ji), mjg(jj) ) |
---|
| 452 | END DO |
---|
| 453 | END DO |
---|
[1099] | 454 | ! |
---|
| 455 | ELSEIF( ntopo == 1 ) THEN ! read in file ! (over the local domain) |
---|
| 456 | ! ! ================ ! |
---|
| 457 | ! |
---|
| 458 | IF( ln_zco ) THEN ! zco : read level bathymetry |
---|
[2528] | 459 | CALL iom_open ( 'bathy_level.nc', inum ) |
---|
| 460 | CALL iom_get ( inum, jpdom_data, 'Bathy_level', bathy ) |
---|
| 461 | CALL iom_close( inum ) |
---|
[473] | 462 | mbathy(:,:) = INT( bathy(:,:) ) |
---|
[4292] | 463 | ! ! ===================== |
---|
[1273] | 464 | IF( cp_cfg == "orca" .AND. jp_cfg == 2 ) THEN ! ORCA R2 configuration |
---|
[4292] | 465 | ! ! ===================== |
---|
[2528] | 466 | IF( nn_cla == 0 ) THEN |
---|
[1273] | 467 | ii0 = 140 ; ii1 = 140 ! Gibraltar Strait open |
---|
| 468 | ij0 = 102 ; ij1 = 102 ! (Thomson, Ocean Modelling, 1995) |
---|
| 469 | DO ji = mi0(ii0), mi1(ii1) |
---|
| 470 | DO jj = mj0(ij0), mj1(ij1) |
---|
| 471 | mbathy(ji,jj) = 15 |
---|
| 472 | END DO |
---|
| 473 | END DO |
---|
| 474 | IF(lwp) WRITE(numout,*) |
---|
[2528] | 475 | IF(lwp) WRITE(numout,*) ' orca_r2: Gibraltar strait open at i=',ii0,' j=',ij0 |
---|
[1273] | 476 | ! |
---|
| 477 | ii0 = 160 ; ii1 = 160 ! Bab el mandeb Strait open |
---|
| 478 | ij0 = 88 ; ij1 = 88 ! (Thomson, Ocean Modelling, 1995) |
---|
| 479 | DO ji = mi0(ii0), mi1(ii1) |
---|
| 480 | DO jj = mj0(ij0), mj1(ij1) |
---|
| 481 | mbathy(ji,jj) = 12 |
---|
| 482 | END DO |
---|
| 483 | END DO |
---|
| 484 | IF(lwp) WRITE(numout,*) |
---|
[2528] | 485 | IF(lwp) WRITE(numout,*) ' orca_r2: Bab el Mandeb strait open at i=',ii0,' j=',ij0 |
---|
[1273] | 486 | ENDIF |
---|
| 487 | ! |
---|
| 488 | ENDIF |
---|
| 489 | ! |
---|
[454] | 490 | ENDIF |
---|
[1099] | 491 | IF( ln_zps .OR. ln_sco ) THEN ! zps or sco : read meter bathymetry |
---|
[2528] | 492 | CALL iom_open ( 'bathy_meter.nc', inum ) |
---|
| 493 | CALL iom_get ( inum, jpdom_data, 'Bathymetry', bathy ) |
---|
| 494 | CALL iom_close( inum ) |
---|
[3632] | 495 | ! |
---|
[2528] | 496 | IF( cp_cfg == "orca" .AND. jp_cfg == 2 ) THEN ! ORCA R2 configuration |
---|
[3632] | 497 | ! |
---|
[2528] | 498 | IF( nn_cla == 0 ) THEN |
---|
| 499 | ii0 = 140 ; ii1 = 140 ! Gibraltar Strait open |
---|
| 500 | ij0 = 102 ; ij1 = 102 ! (Thomson, Ocean Modelling, 1995) |
---|
[1273] | 501 | DO ji = mi0(ii0), mi1(ii1) |
---|
| 502 | DO jj = mj0(ij0), mj1(ij1) |
---|
[2528] | 503 | bathy(ji,jj) = 284._wp |
---|
[1273] | 504 | END DO |
---|
| 505 | END DO |
---|
[3764] | 506 | IF(lwp) WRITE(numout,*) |
---|
[2528] | 507 | IF(lwp) WRITE(numout,*) ' orca_r2: Gibraltar strait open at i=',ii0,' j=',ij0 |
---|
[1273] | 508 | ! |
---|
[2528] | 509 | ii0 = 160 ; ii1 = 160 ! Bab el mandeb Strait open |
---|
| 510 | ij0 = 88 ; ij1 = 88 ! (Thomson, Ocean Modelling, 1995) |
---|
[1273] | 511 | DO ji = mi0(ii0), mi1(ii1) |
---|
| 512 | DO jj = mj0(ij0), mj1(ij1) |
---|
[2528] | 513 | bathy(ji,jj) = 137._wp |
---|
[1273] | 514 | END DO |
---|
| 515 | END DO |
---|
| 516 | IF(lwp) WRITE(numout,*) |
---|
| 517 | IF(lwp) WRITE(numout,*) ' orca_r2: Bab el Mandeb strait open at i=',ii0,' j=',ij0 |
---|
| 518 | ENDIF |
---|
| 519 | ! |
---|
| 520 | ENDIF |
---|
[1348] | 521 | ! |
---|
| 522 | ENDIF |
---|
[3] | 523 | ! ! =============== ! |
---|
| 524 | ELSE ! error ! |
---|
| 525 | ! ! =============== ! |
---|
[1099] | 526 | WRITE(ctmp1,*) 'parameter , ntopo = ', ntopo |
---|
[473] | 527 | CALL ctl_stop( ' zgr_bat : '//trim(ctmp1) ) |
---|
[3] | 528 | ENDIF |
---|
[1099] | 529 | ! |
---|
[3632] | 530 | IF( nn_closea == 0 ) CALL clo_bat( bathy, mbathy ) !== NO closed seas or lakes ==! |
---|
| 531 | ! |
---|
| 532 | IF ( .not. ln_sco ) THEN !== set a minimum depth ==! |
---|
[2712] | 533 | IF( rn_hmin < 0._wp ) THEN ; ik = - INT( rn_hmin ) ! from a nb of level |
---|
[4292] | 534 | ELSE ; ik = MINLOC( gdepw_1d, mask = gdepw_1d > rn_hmin, dim = 1 ) ! from a depth |
---|
[2712] | 535 | ENDIF |
---|
[4292] | 536 | zhmin = gdepw_1d(ik+1) ! minimum depth = ik+1 w-levels |
---|
[2712] | 537 | WHERE( bathy(:,:) <= 0._wp ) ; bathy(:,:) = 0._wp ! min=0 over the lands |
---|
| 538 | ELSE WHERE ; bathy(:,:) = MAX( zhmin , bathy(:,:) ) ! min=zhmin over the oceans |
---|
| 539 | END WHERE |
---|
| 540 | IF(lwp) write(numout,*) 'Minimum ocean depth: ', zhmin, ' minimum number of ocean levels : ', ik |
---|
[2528] | 541 | ENDIF |
---|
| 542 | ! |
---|
[3294] | 543 | CALL wrk_dealloc( jpidta, jpjdta, idta ) |
---|
| 544 | CALL wrk_dealloc( jpidta, jpjdta, zdta ) |
---|
| 545 | ! |
---|
| 546 | IF( nn_timing == 1 ) CALL timing_stop('zgr_bat') |
---|
| 547 | ! |
---|
[3] | 548 | END SUBROUTINE zgr_bat |
---|
| 549 | |
---|
| 550 | |
---|
| 551 | SUBROUTINE zgr_bat_zoom |
---|
| 552 | !!---------------------------------------------------------------------- |
---|
| 553 | !! *** ROUTINE zgr_bat_zoom *** |
---|
| 554 | !! |
---|
| 555 | !! ** Purpose : - Close zoom domain boundary if necessary |
---|
| 556 | !! - Suppress Med Sea from ORCA R2 and R05 arctic zoom |
---|
| 557 | !! |
---|
| 558 | !! ** Method : |
---|
| 559 | !! |
---|
| 560 | !! ** Action : - update mbathy: level bathymetry (in level index) |
---|
| 561 | !!---------------------------------------------------------------------- |
---|
| 562 | INTEGER :: ii0, ii1, ij0, ij1 ! temporary integers |
---|
| 563 | !!---------------------------------------------------------------------- |
---|
[1099] | 564 | ! |
---|
[3] | 565 | IF(lwp) WRITE(numout,*) |
---|
| 566 | IF(lwp) WRITE(numout,*) ' zgr_bat_zoom : modify the level bathymetry for zoom domain' |
---|
| 567 | IF(lwp) WRITE(numout,*) ' ~~~~~~~~~~~~' |
---|
[1099] | 568 | ! |
---|
[3] | 569 | ! Zoom domain |
---|
| 570 | ! =========== |
---|
[1099] | 571 | ! |
---|
[3] | 572 | ! Forced closed boundary if required |
---|
[1099] | 573 | IF( lzoom_s ) mbathy( : , mj0(jpjzoom):mj1(jpjzoom) ) = 0 |
---|
| 574 | IF( lzoom_w ) mbathy( mi0(jpizoom):mi1(jpizoom) , : ) = 0 |
---|
| 575 | IF( lzoom_e ) mbathy( mi0(jpiglo+jpizoom-1):mi1(jpiglo+jpizoom-1) , : ) = 0 |
---|
| 576 | IF( lzoom_n ) mbathy( : , mj0(jpjglo+jpjzoom-1):mj1(jpjglo+jpjzoom-1) ) = 0 |
---|
| 577 | ! |
---|
[3] | 578 | ! Configuration specific domain modifications |
---|
| 579 | ! (here, ORCA arctic configuration: suppress Med Sea) |
---|
[4147] | 580 | IF( cp_cfg == "orca" .AND. cp_cfz == "arctic" ) THEN |
---|
[3] | 581 | SELECT CASE ( jp_cfg ) |
---|
| 582 | ! ! ======================= |
---|
| 583 | CASE ( 2 ) ! ORCA_R2 configuration |
---|
| 584 | ! ! ======================= |
---|
| 585 | IF(lwp) WRITE(numout,*) ' ORCA R2 arctic zoom: suppress the Med Sea' |
---|
| 586 | ii0 = 141 ; ii1 = 162 ! Sea box i,j indices |
---|
| 587 | ij0 = 98 ; ij1 = 110 |
---|
| 588 | ! ! ======================= |
---|
| 589 | CASE ( 05 ) ! ORCA_R05 configuration |
---|
| 590 | ! ! ======================= |
---|
| 591 | IF(lwp) WRITE(numout,*) ' ORCA R05 arctic zoom: suppress the Med Sea' |
---|
| 592 | ii0 = 563 ; ii1 = 642 ! zero over the Med Sea boxe |
---|
| 593 | ij0 = 314 ; ij1 = 370 |
---|
| 594 | END SELECT |
---|
| 595 | ! |
---|
| 596 | mbathy( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) ) = 0 ! zero over the Med Sea boxe |
---|
| 597 | ! |
---|
| 598 | ENDIF |
---|
[1099] | 599 | ! |
---|
[3] | 600 | END SUBROUTINE zgr_bat_zoom |
---|
| 601 | |
---|
| 602 | |
---|
| 603 | SUBROUTINE zgr_bat_ctl |
---|
| 604 | !!---------------------------------------------------------------------- |
---|
| 605 | !! *** ROUTINE zgr_bat_ctl *** |
---|
| 606 | !! |
---|
| 607 | !! ** Purpose : check the bathymetry in levels |
---|
| 608 | !! |
---|
| 609 | !! ** Method : The array mbathy is checked to verified its consistency |
---|
| 610 | !! with the model options. in particular: |
---|
| 611 | !! mbathy must have at least 1 land grid-points (mbathy<=0) |
---|
| 612 | !! along closed boundary. |
---|
| 613 | !! mbathy must be cyclic IF jperio=1. |
---|
| 614 | !! mbathy must be lower or equal to jpk-1. |
---|
| 615 | !! isolated ocean grid points are suppressed from mbathy |
---|
| 616 | !! since they are only connected to remaining |
---|
| 617 | !! ocean through vertical diffusion. |
---|
| 618 | !! C A U T I O N : mbathy will be modified during the initializa- |
---|
| 619 | !! tion phase to become the number of non-zero w-levels of a water |
---|
| 620 | !! column, with a minimum value of 1. |
---|
| 621 | !! |
---|
| 622 | !! ** Action : - update mbathy: level bathymetry (in level index) |
---|
| 623 | !! - update bathy : meter bathymetry (in meters) |
---|
| 624 | !!---------------------------------------------------------------------- |
---|
[2715] | 625 | !! |
---|
[1099] | 626 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
| 627 | INTEGER :: icompt, ibtest, ikmax ! temporary integers |
---|
[3294] | 628 | REAL(wp), POINTER, DIMENSION(:,:) :: zbathy |
---|
[4147] | 629 | |
---|
[3] | 630 | !!---------------------------------------------------------------------- |
---|
[3294] | 631 | ! |
---|
| 632 | IF( nn_timing == 1 ) CALL timing_start('zgr_bat_ctl') |
---|
| 633 | ! |
---|
| 634 | CALL wrk_alloc( jpi, jpj, zbathy ) |
---|
| 635 | ! |
---|
[3] | 636 | IF(lwp) WRITE(numout,*) |
---|
| 637 | IF(lwp) WRITE(numout,*) ' zgr_bat_ctl : check the bathymetry' |
---|
| 638 | IF(lwp) WRITE(numout,*) ' ~~~~~~~~~~~' |
---|
[1099] | 639 | ! ! Suppress isolated ocean grid points |
---|
| 640 | IF(lwp) WRITE(numout,*) |
---|
| 641 | IF(lwp) WRITE(numout,*)' suppress isolated ocean grid points' |
---|
| 642 | IF(lwp) WRITE(numout,*)' -----------------------------------' |
---|
| 643 | icompt = 0 |
---|
| 644 | DO jl = 1, 2 |
---|
| 645 | IF( nperio == 1 .OR. nperio == 4 .OR. nperio == 6 ) THEN |
---|
| 646 | mbathy( 1 ,:) = mbathy(jpim1,:) ! local domain is cyclic east-west |
---|
| 647 | mbathy(jpi,:) = mbathy( 2 ,:) |
---|
| 648 | ENDIF |
---|
| 649 | DO jj = 2, jpjm1 |
---|
| 650 | DO ji = 2, jpim1 |
---|
| 651 | ibtest = MAX( mbathy(ji-1,jj), mbathy(ji+1,jj), & |
---|
| 652 | & mbathy(ji,jj-1), mbathy(ji,jj+1) ) |
---|
| 653 | IF( ibtest < mbathy(ji,jj) ) THEN |
---|
| 654 | IF(lwp) WRITE(numout,*) ' the number of ocean level at ', & |
---|
| 655 | & 'grid-point (i,j) = ',ji,jj,' is changed from ', mbathy(ji,jj),' to ', ibtest |
---|
| 656 | mbathy(ji,jj) = ibtest |
---|
| 657 | icompt = icompt + 1 |
---|
| 658 | ENDIF |
---|
| 659 | END DO |
---|
| 660 | END DO |
---|
| 661 | END DO |
---|
[4148] | 662 | IF( lk_mpp ) CALL mpp_sum( icompt ) |
---|
[1099] | 663 | IF( icompt == 0 ) THEN |
---|
| 664 | IF(lwp) WRITE(numout,*)' no isolated ocean grid points' |
---|
| 665 | ELSE |
---|
| 666 | IF(lwp) WRITE(numout,*)' ',icompt,' ocean grid points suppressed' |
---|
| 667 | ENDIF |
---|
| 668 | IF( lk_mpp ) THEN |
---|
| 669 | zbathy(:,:) = FLOAT( mbathy(:,:) ) |
---|
[2528] | 670 | CALL lbc_lnk( zbathy, 'T', 1._wp ) |
---|
[1099] | 671 | mbathy(:,:) = INT( zbathy(:,:) ) |
---|
| 672 | ENDIF |
---|
| 673 | ! ! East-west cyclic boundary conditions |
---|
| 674 | IF( nperio == 0 ) THEN |
---|
| 675 | IF(lwp) WRITE(numout,*) ' mbathy set to 0 along east and west boundary: nperio = ', nperio |
---|
| 676 | IF( lk_mpp ) THEN |
---|
| 677 | IF( nbondi == -1 .OR. nbondi == 2 ) THEN |
---|
| 678 | IF( jperio /= 1 ) mbathy(1,:) = 0 |
---|
[411] | 679 | ENDIF |
---|
[1099] | 680 | IF( nbondi == 1 .OR. nbondi == 2 ) THEN |
---|
| 681 | IF( jperio /= 1 ) mbathy(nlci,:) = 0 |
---|
| 682 | ENDIF |
---|
[411] | 683 | ELSE |
---|
[1099] | 684 | IF( ln_zco .OR. ln_zps ) THEN |
---|
| 685 | mbathy( 1 ,:) = 0 |
---|
| 686 | mbathy(jpi,:) = 0 |
---|
| 687 | ELSE |
---|
| 688 | mbathy( 1 ,:) = jpkm1 |
---|
| 689 | mbathy(jpi,:) = jpkm1 |
---|
| 690 | ENDIF |
---|
[411] | 691 | ENDIF |
---|
[1099] | 692 | ELSEIF( nperio == 1 .OR. nperio == 4 .OR. nperio == 6 ) THEN |
---|
| 693 | IF(lwp) WRITE(numout,*)' east-west cyclic boundary conditions on mbathy: nperio = ', nperio |
---|
| 694 | mbathy( 1 ,:) = mbathy(jpim1,:) |
---|
| 695 | mbathy(jpi,:) = mbathy( 2 ,:) |
---|
| 696 | ELSEIF( nperio == 2 ) THEN |
---|
| 697 | IF(lwp) WRITE(numout,*) ' equatorial boundary conditions on mbathy: nperio = ', nperio |
---|
| 698 | ELSE |
---|
| 699 | IF(lwp) WRITE(numout,*) ' e r r o r' |
---|
| 700 | IF(lwp) WRITE(numout,*) ' parameter , nperio = ', nperio |
---|
| 701 | ! STOP 'dom_mba' |
---|
| 702 | ENDIF |
---|
[1528] | 703 | ! Boundary condition on mbathy |
---|
| 704 | IF( .NOT.lk_mpp ) THEN |
---|
| 705 | !!gm !!bug ??? think about it ! |
---|
| 706 | ! ... mono- or macro-tasking: T-point, >0, 2D array, no slab |
---|
| 707 | zbathy(:,:) = FLOAT( mbathy(:,:) ) |
---|
[2528] | 708 | CALL lbc_lnk( zbathy, 'T', 1._wp ) |
---|
[1528] | 709 | mbathy(:,:) = INT( zbathy(:,:) ) |
---|
[3] | 710 | ENDIF |
---|
| 711 | ! Number of ocean level inferior or equal to jpkm1 |
---|
| 712 | ikmax = 0 |
---|
| 713 | DO jj = 1, jpj |
---|
| 714 | DO ji = 1, jpi |
---|
| 715 | ikmax = MAX( ikmax, mbathy(ji,jj) ) |
---|
| 716 | END DO |
---|
| 717 | END DO |
---|
[1099] | 718 | !!gm !!! test to do: ikmax = MAX( mbathy(:,:) ) ??? |
---|
[3] | 719 | IF( ikmax > jpkm1 ) THEN |
---|
| 720 | IF(lwp) WRITE(numout,*) ' maximum number of ocean level = ', ikmax,' > jpk-1' |
---|
| 721 | IF(lwp) WRITE(numout,*) ' change jpk to ',ikmax+1,' to use the exact ead bathymetry' |
---|
| 722 | ELSE IF( ikmax < jpkm1 ) THEN |
---|
| 723 | IF(lwp) WRITE(numout,*) ' maximum number of ocean level = ', ikmax,' < jpk-1' |
---|
| 724 | IF(lwp) WRITE(numout,*) ' you can decrease jpk to ', ikmax+1 |
---|
| 725 | ENDIF |
---|
| 726 | |
---|
[1566] | 727 | IF( lwp .AND. nprint == 1 ) THEN ! control print |
---|
[3] | 728 | WRITE(numout,*) |
---|
[1099] | 729 | WRITE(numout,*) ' bathymetric field : number of non-zero T-levels ' |
---|
[3] | 730 | WRITE(numout,*) ' ------------------' |
---|
[1099] | 731 | CALL prihin( mbathy, jpi, jpj, 1, jpi, 1, 1, jpj, 1, 3, numout ) |
---|
[3] | 732 | WRITE(numout,*) |
---|
| 733 | ENDIF |
---|
[1099] | 734 | ! |
---|
[3294] | 735 | CALL wrk_dealloc( jpi, jpj, zbathy ) |
---|
[2715] | 736 | ! |
---|
[3294] | 737 | IF( nn_timing == 1 ) CALL timing_stop('zgr_bat_ctl') |
---|
| 738 | ! |
---|
[3] | 739 | END SUBROUTINE zgr_bat_ctl |
---|
| 740 | |
---|
| 741 | |
---|
[2528] | 742 | SUBROUTINE zgr_bot_level |
---|
| 743 | !!---------------------------------------------------------------------- |
---|
| 744 | !! *** ROUTINE zgr_bot_level *** |
---|
| 745 | !! |
---|
| 746 | !! ** Purpose : defines the vertical index of ocean bottom (mbk. arrays) |
---|
| 747 | !! |
---|
| 748 | !! ** Method : computes from mbathy with a minimum value of 1 over land |
---|
| 749 | !! |
---|
| 750 | !! ** Action : mbkt, mbku, mbkv : vertical indices of the deeptest |
---|
| 751 | !! ocean level at t-, u- & v-points |
---|
| 752 | !! (min value = 1 over land) |
---|
| 753 | !!---------------------------------------------------------------------- |
---|
[2715] | 754 | !! |
---|
[2528] | 755 | INTEGER :: ji, jj ! dummy loop indices |
---|
[3294] | 756 | REAL(wp), POINTER, DIMENSION(:,:) :: zmbk |
---|
[2528] | 757 | !!---------------------------------------------------------------------- |
---|
| 758 | ! |
---|
[3294] | 759 | IF( nn_timing == 1 ) CALL timing_start('zgr_bot_level') |
---|
[2715] | 760 | ! |
---|
[3294] | 761 | CALL wrk_alloc( jpi, jpj, zmbk ) |
---|
| 762 | ! |
---|
[2528] | 763 | IF(lwp) WRITE(numout,*) |
---|
| 764 | IF(lwp) WRITE(numout,*) ' zgr_bot_level : ocean bottom k-index of T-, U-, V- and W-levels ' |
---|
| 765 | IF(lwp) WRITE(numout,*) ' ~~~~~~~~~~~~~' |
---|
| 766 | ! |
---|
| 767 | mbkt(:,:) = MAX( mbathy(:,:) , 1 ) ! bottom k-index of T-level (=1 over land) |
---|
[3764] | 768 | |
---|
[2528] | 769 | ! ! bottom k-index of W-level = mbkt+1 |
---|
| 770 | DO jj = 1, jpjm1 ! bottom k-index of u- (v-) level |
---|
| 771 | DO ji = 1, jpim1 |
---|
| 772 | mbku(ji,jj) = MIN( mbkt(ji+1,jj ) , mbkt(ji,jj) ) |
---|
| 773 | mbkv(ji,jj) = MIN( mbkt(ji ,jj+1) , mbkt(ji,jj) ) |
---|
| 774 | END DO |
---|
| 775 | END DO |
---|
| 776 | ! converte into REAL to use lbc_lnk ; impose a min value of 1 as a zero can be set in lbclnk |
---|
| 777 | zmbk(:,:) = REAL( mbku(:,:), wp ) ; CALL lbc_lnk(zmbk,'U',1.) ; mbku (:,:) = MAX( INT( zmbk(:,:) ), 1 ) |
---|
| 778 | zmbk(:,:) = REAL( mbkv(:,:), wp ) ; CALL lbc_lnk(zmbk,'V',1.) ; mbkv (:,:) = MAX( INT( zmbk(:,:) ), 1 ) |
---|
| 779 | ! |
---|
[3294] | 780 | CALL wrk_dealloc( jpi, jpj, zmbk ) |
---|
[2715] | 781 | ! |
---|
[3294] | 782 | IF( nn_timing == 1 ) CALL timing_stop('zgr_bot_level') |
---|
| 783 | ! |
---|
[2528] | 784 | END SUBROUTINE zgr_bot_level |
---|
| 785 | |
---|
| 786 | |
---|
[454] | 787 | SUBROUTINE zgr_zco |
---|
| 788 | !!---------------------------------------------------------------------- |
---|
| 789 | !! *** ROUTINE zgr_zco *** |
---|
| 790 | !! |
---|
| 791 | !! ** Purpose : define the z-coordinate system |
---|
| 792 | !! |
---|
[2528] | 793 | !! ** Method : set 3D coord. arrays to reference 1D array |
---|
[454] | 794 | !!---------------------------------------------------------------------- |
---|
| 795 | INTEGER :: jk |
---|
| 796 | !!---------------------------------------------------------------------- |
---|
[1099] | 797 | ! |
---|
[3294] | 798 | IF( nn_timing == 1 ) CALL timing_start('zgr_zco') |
---|
| 799 | ! |
---|
[2528] | 800 | DO jk = 1, jpk |
---|
[4292] | 801 | gdept_0 (:,:,jk) = gdept_1d(jk) |
---|
| 802 | gdepw_0 (:,:,jk) = gdepw_1d(jk) |
---|
| 803 | gdep3w_0(:,:,jk) = gdepw_1d(jk) |
---|
| 804 | e3t_0 (:,:,jk) = e3t_1d (jk) |
---|
| 805 | e3u_0 (:,:,jk) = e3t_1d (jk) |
---|
| 806 | e3v_0 (:,:,jk) = e3t_1d (jk) |
---|
| 807 | e3f_0 (:,:,jk) = e3t_1d (jk) |
---|
| 808 | e3w_0 (:,:,jk) = e3w_1d (jk) |
---|
| 809 | e3uw_0 (:,:,jk) = e3w_1d (jk) |
---|
| 810 | e3vw_0 (:,:,jk) = e3w_1d (jk) |
---|
[2528] | 811 | END DO |
---|
[1099] | 812 | ! |
---|
[3294] | 813 | IF( nn_timing == 1 ) CALL timing_stop('zgr_zco') |
---|
| 814 | ! |
---|
[454] | 815 | END SUBROUTINE zgr_zco |
---|
| 816 | |
---|
| 817 | |
---|
[1083] | 818 | SUBROUTINE zgr_zps |
---|
| 819 | !!---------------------------------------------------------------------- |
---|
| 820 | !! *** ROUTINE zgr_zps *** |
---|
| 821 | !! |
---|
| 822 | !! ** Purpose : the depth and vertical scale factor in partial step |
---|
| 823 | !! z-coordinate case |
---|
| 824 | !! |
---|
| 825 | !! ** Method : Partial steps : computes the 3D vertical scale factors |
---|
| 826 | !! of T-, U-, V-, W-, UW-, VW and F-points that are associated with |
---|
| 827 | !! a partial step representation of bottom topography. |
---|
| 828 | !! |
---|
| 829 | !! The reference depth of model levels is defined from an analytical |
---|
| 830 | !! function the derivative of which gives the reference vertical |
---|
| 831 | !! scale factors. |
---|
| 832 | !! From depth and scale factors reference, we compute there new value |
---|
| 833 | !! with partial steps on 3d arrays ( i, j, k ). |
---|
| 834 | !! |
---|
[4292] | 835 | !! w-level: gdepw_0(i,j,k) = gdep(k) |
---|
| 836 | !! e3w_0(i,j,k) = dk(gdep)(k) = e3(i,j,k) |
---|
| 837 | !! t-level: gdept_0(i,j,k) = gdep(k+0.5) |
---|
| 838 | !! e3t_0(i,j,k) = dk(gdep)(k+0.5) = e3(i,j,k+0.5) |
---|
[1083] | 839 | !! |
---|
| 840 | !! With the help of the bathymetric file ( bathymetry_depth_ORCA_R2.nc), |
---|
| 841 | !! we find the mbathy index of the depth at each grid point. |
---|
| 842 | !! This leads us to three cases: |
---|
| 843 | !! |
---|
| 844 | !! - bathy = 0 => mbathy = 0 |
---|
| 845 | !! - 1 < mbathy < jpkm1 |
---|
[4292] | 846 | !! - bathy > gdepw_0(jpk) => mbathy = jpkm1 |
---|
[1083] | 847 | !! |
---|
| 848 | !! Then, for each case, we find the new depth at t- and w- levels |
---|
| 849 | !! and the new vertical scale factors at t-, u-, v-, w-, uw-, vw- |
---|
| 850 | !! and f-points. |
---|
| 851 | !! |
---|
| 852 | !! This routine is given as an example, it must be modified |
---|
| 853 | !! following the user s desiderata. nevertheless, the output as |
---|
| 854 | !! well as the way to compute the model levels and scale factors |
---|
| 855 | !! must be respected in order to insure second order accuracy |
---|
| 856 | !! schemes. |
---|
| 857 | !! |
---|
[4292] | 858 | !! c a u t i o n : gdept_1d, gdepw_1d and e3._1d are positives |
---|
| 859 | !! - - - - - - - gdept_0, gdepw_0 and e3. are positives |
---|
[1083] | 860 | !! |
---|
[1099] | 861 | !! Reference : Pacanowsky & Gnanadesikan 1997, Mon. Wea. Rev., 126, 3248-3270. |
---|
[1083] | 862 | !!---------------------------------------------------------------------- |
---|
[2715] | 863 | !! |
---|
[1099] | 864 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 865 | INTEGER :: ik, it ! temporary integers |
---|
| 866 | LOGICAL :: ll_print ! Allow control print for debugging |
---|
| 867 | REAL(wp) :: ze3tp , ze3wp ! Last ocean level thickness at T- and W-points |
---|
| 868 | REAL(wp) :: zdepwp, zdepth ! Ajusted ocean depth to avoid too small e3t |
---|
[2528] | 869 | REAL(wp) :: zmax ! Maximum depth |
---|
[1099] | 870 | REAL(wp) :: zdiff ! temporary scalar |
---|
[2528] | 871 | REAL(wp) :: zrefdep ! temporary scalar |
---|
[3294] | 872 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zprt |
---|
[1099] | 873 | !!--------------------------------------------------------------------- |
---|
[3294] | 874 | ! |
---|
| 875 | IF( nn_timing == 1 ) CALL timing_start('zgr_zps') |
---|
| 876 | ! |
---|
| 877 | CALL wrk_alloc( jpi, jpj, jpk, zprt ) |
---|
| 878 | ! |
---|
[1099] | 879 | IF(lwp) WRITE(numout,*) |
---|
| 880 | IF(lwp) WRITE(numout,*) ' zgr_zps : z-coordinate with partial steps' |
---|
| 881 | IF(lwp) WRITE(numout,*) ' ~~~~~~~ ' |
---|
| 882 | IF(lwp) WRITE(numout,*) ' mbathy is recomputed : bathy_level file is NOT used' |
---|
[3] | 883 | |
---|
[2528] | 884 | ll_print = .FALSE. ! Local variable for debugging |
---|
[1083] | 885 | |
---|
[1099] | 886 | IF(lwp .AND. ll_print) THEN ! control print of the ocean depth |
---|
[1083] | 887 | WRITE(numout,*) |
---|
| 888 | WRITE(numout,*) 'dom_zgr_zps: bathy (in hundred of meters)' |
---|
| 889 | CALL prihre( bathy, jpi, jpj, 1,jpi, 1, 1, jpj, 1, 1.e-2, numout ) |
---|
| 890 | ENDIF |
---|
| 891 | |
---|
| 892 | |
---|
| 893 | ! bathymetry in level (from bathy_meter) |
---|
| 894 | ! =================== |
---|
[4292] | 895 | zmax = gdepw_1d(jpk) + e3t_1d(jpk) ! maximum depth (i.e. the last ocean level thickness <= 2*e3t_1d(jpkm1) ) |
---|
[2528] | 896 | bathy(:,:) = MIN( zmax , bathy(:,:) ) ! bounded value of bathy (min already set at the end of zgr_bat) |
---|
| 897 | WHERE( bathy(:,:) == 0._wp ) ; mbathy(:,:) = 0 ! land : set mbathy to 0 |
---|
| 898 | ELSE WHERE ; mbathy(:,:) = jpkm1 ! ocean : initialize mbathy to the max ocean level |
---|
| 899 | END WHERE |
---|
[1083] | 900 | |
---|
| 901 | ! Compute mbathy for ocean points (i.e. the number of ocean levels) |
---|
| 902 | ! find the number of ocean levels such that the last level thickness |
---|
[4292] | 903 | ! is larger than the minimum of e3zps_min and e3zps_rat * e3t_1d (where |
---|
| 904 | ! e3t_1d is the reference level thickness |
---|
[1083] | 905 | DO jk = jpkm1, 1, -1 |
---|
[4292] | 906 | zdepth = gdepw_1d(jk) + MIN( e3zps_min, e3t_1d(jk)*e3zps_rat ) |
---|
[2528] | 907 | WHERE( 0._wp < bathy(:,:) .AND. bathy(:,:) <= zdepth ) mbathy(:,:) = jk-1 |
---|
[1083] | 908 | END DO |
---|
| 909 | |
---|
[1099] | 910 | ! Scale factors and depth at T- and W-points |
---|
| 911 | DO jk = 1, jpk ! intitialization to the reference z-coordinate |
---|
[4292] | 912 | gdept_0(:,:,jk) = gdept_1d(jk) |
---|
| 913 | gdepw_0(:,:,jk) = gdepw_1d(jk) |
---|
| 914 | e3t_0 (:,:,jk) = e3t_1d (jk) |
---|
| 915 | e3w_0 (:,:,jk) = e3w_1d (jk) |
---|
[1083] | 916 | END DO |
---|
[1099] | 917 | ! |
---|
| 918 | DO jj = 1, jpj |
---|
| 919 | DO ji = 1, jpi |
---|
| 920 | ik = mbathy(ji,jj) |
---|
| 921 | IF( ik > 0 ) THEN ! ocean point only |
---|
| 922 | ! max ocean level case |
---|
| 923 | IF( ik == jpkm1 ) THEN |
---|
| 924 | zdepwp = bathy(ji,jj) |
---|
[4292] | 925 | ze3tp = bathy(ji,jj) - gdepw_1d(ik) |
---|
| 926 | ze3wp = 0.5_wp * e3w_1d(ik) * ( 1._wp + ( ze3tp/e3t_1d(ik) ) ) |
---|
| 927 | e3t_0(ji,jj,ik ) = ze3tp |
---|
| 928 | e3t_0(ji,jj,ik+1) = ze3tp |
---|
| 929 | e3w_0(ji,jj,ik ) = ze3wp |
---|
| 930 | e3w_0(ji,jj,ik+1) = ze3tp |
---|
| 931 | gdepw_0(ji,jj,ik+1) = zdepwp |
---|
| 932 | gdept_0(ji,jj,ik ) = gdept_1d(ik-1) + ze3wp |
---|
| 933 | gdept_0(ji,jj,ik+1) = gdept_0(ji,jj,ik) + ze3tp |
---|
[1099] | 934 | ! |
---|
| 935 | ELSE ! standard case |
---|
[4292] | 936 | IF( bathy(ji,jj) <= gdepw_1d(ik+1) ) THEN ; gdepw_0(ji,jj,ik+1) = bathy(ji,jj) |
---|
| 937 | ELSE ; gdepw_0(ji,jj,ik+1) = gdepw_1d(ik+1) |
---|
[1099] | 938 | ENDIF |
---|
[4292] | 939 | !gm Bug? check the gdepw_1d |
---|
[1099] | 940 | ! ... on ik |
---|
[4292] | 941 | gdept_0(ji,jj,ik) = gdepw_1d(ik) + ( gdepw_0 (ji,jj,ik+1) - gdepw_1d(ik) ) & |
---|
| 942 | & * ((gdept_1d( ik ) - gdepw_1d(ik) ) & |
---|
| 943 | & / ( gdepw_1d( ik+1) - gdepw_1d(ik) )) |
---|
| 944 | e3t_0(ji,jj,ik) = e3t_1d (ik) * ( gdepw_0 (ji,jj,ik+1) - gdepw_1d(ik) ) & |
---|
| 945 | & / ( gdepw_1d( ik+1) - gdepw_1d(ik) ) |
---|
| 946 | e3w_0(ji,jj,ik) = 0.5_wp * ( gdepw_0(ji,jj,ik+1) + gdepw_1d(ik+1) - 2._wp * gdepw_1d(ik) ) & |
---|
| 947 | & * ( e3w_1d(ik) / ( gdepw_1d(ik+1) - gdepw_1d(ik) ) ) |
---|
[1099] | 948 | ! ... on ik+1 |
---|
[4292] | 949 | e3w_0 (ji,jj,ik+1) = e3t_0 (ji,jj,ik) |
---|
| 950 | e3t_0 (ji,jj,ik+1) = e3t_0 (ji,jj,ik) |
---|
| 951 | gdept_0(ji,jj,ik+1) = gdept_0(ji,jj,ik) + e3t_0(ji,jj,ik) |
---|
[1099] | 952 | ENDIF |
---|
| 953 | ENDIF |
---|
| 954 | END DO |
---|
| 955 | END DO |
---|
| 956 | ! |
---|
| 957 | it = 0 |
---|
| 958 | DO jj = 1, jpj |
---|
| 959 | DO ji = 1, jpi |
---|
| 960 | ik = mbathy(ji,jj) |
---|
| 961 | IF( ik > 0 ) THEN ! ocean point only |
---|
[4292] | 962 | e3tp (ji,jj) = e3t_0(ji,jj,ik) |
---|
| 963 | e3wp (ji,jj) = e3w_0(ji,jj,ik) |
---|
[1099] | 964 | ! test |
---|
[4292] | 965 | zdiff= gdepw_0(ji,jj,ik+1) - gdept_0(ji,jj,ik ) |
---|
[2528] | 966 | IF( zdiff <= 0._wp .AND. lwp ) THEN |
---|
[1099] | 967 | it = it + 1 |
---|
| 968 | WRITE(numout,*) ' it = ', it, ' ik = ', ik, ' (i,j) = ', ji, jj |
---|
| 969 | WRITE(numout,*) ' bathy = ', bathy(ji,jj) |
---|
[4292] | 970 | WRITE(numout,*) ' gdept_0 = ', gdept_0(ji,jj,ik), ' gdepw_0 = ', gdepw_0(ji,jj,ik+1), ' zdiff = ', zdiff |
---|
| 971 | WRITE(numout,*) ' e3tp = ', e3t_0 (ji,jj,ik), ' e3wp = ', e3w_0 (ji,jj,ik ) |
---|
[1099] | 972 | ENDIF |
---|
| 973 | ENDIF |
---|
| 974 | END DO |
---|
| 975 | END DO |
---|
[1083] | 976 | |
---|
| 977 | ! Scale factors and depth at U-, V-, UW and VW-points |
---|
[1099] | 978 | DO jk = 1, jpk ! initialisation to z-scale factors |
---|
[4292] | 979 | e3u_0 (:,:,jk) = e3t_1d(jk) |
---|
| 980 | e3v_0 (:,:,jk) = e3t_1d(jk) |
---|
| 981 | e3uw_0(:,:,jk) = e3w_1d(jk) |
---|
| 982 | e3vw_0(:,:,jk) = e3w_1d(jk) |
---|
[1083] | 983 | END DO |
---|
[1099] | 984 | DO jk = 1,jpk ! Computed as the minimum of neighbooring scale factors |
---|
| 985 | DO jj = 1, jpjm1 |
---|
| 986 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[4292] | 987 | e3u_0 (ji,jj,jk) = MIN( e3t_0(ji,jj,jk), e3t_0(ji+1,jj,jk) ) |
---|
| 988 | e3v_0 (ji,jj,jk) = MIN( e3t_0(ji,jj,jk), e3t_0(ji,jj+1,jk) ) |
---|
| 989 | e3uw_0(ji,jj,jk) = MIN( e3w_0(ji,jj,jk), e3w_0(ji+1,jj,jk) ) |
---|
| 990 | e3vw_0(ji,jj,jk) = MIN( e3w_0(ji,jj,jk), e3w_0(ji,jj+1,jk) ) |
---|
[1099] | 991 | END DO |
---|
| 992 | END DO |
---|
| 993 | END DO |
---|
[4292] | 994 | CALL lbc_lnk( e3u_0 , 'U', 1._wp ) ; CALL lbc_lnk( e3uw_0, 'U', 1._wp ) ! lateral boundary conditions |
---|
| 995 | CALL lbc_lnk( e3v_0 , 'V', 1._wp ) ; CALL lbc_lnk( e3vw_0, 'V', 1._wp ) |
---|
[1099] | 996 | ! |
---|
| 997 | DO jk = 1, jpk ! set to z-scale factor if zero (i.e. along closed boundaries) |
---|
[4292] | 998 | WHERE( e3u_0 (:,:,jk) == 0._wp ) e3u_0 (:,:,jk) = e3t_1d(jk) |
---|
| 999 | WHERE( e3v_0 (:,:,jk) == 0._wp ) e3v_0 (:,:,jk) = e3t_1d(jk) |
---|
| 1000 | WHERE( e3uw_0(:,:,jk) == 0._wp ) e3uw_0(:,:,jk) = e3w_1d(jk) |
---|
| 1001 | WHERE( e3vw_0(:,:,jk) == 0._wp ) e3vw_0(:,:,jk) = e3w_1d(jk) |
---|
[1099] | 1002 | END DO |
---|
| 1003 | |
---|
| 1004 | ! Scale factor at F-point |
---|
| 1005 | DO jk = 1, jpk ! initialisation to z-scale factors |
---|
[4292] | 1006 | e3f_0(:,:,jk) = e3t_1d(jk) |
---|
[1099] | 1007 | END DO |
---|
| 1008 | DO jk = 1, jpk ! Computed as the minimum of neighbooring V-scale factors |
---|
| 1009 | DO jj = 1, jpjm1 |
---|
| 1010 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[4292] | 1011 | e3f_0(ji,jj,jk) = MIN( e3v_0(ji,jj,jk), e3v_0(ji+1,jj,jk) ) |
---|
[1099] | 1012 | END DO |
---|
| 1013 | END DO |
---|
| 1014 | END DO |
---|
[4292] | 1015 | CALL lbc_lnk( e3f_0, 'F', 1._wp ) ! Lateral boundary conditions |
---|
[1099] | 1016 | ! |
---|
| 1017 | DO jk = 1, jpk ! set to z-scale factor if zero (i.e. along closed boundaries) |
---|
[4292] | 1018 | WHERE( e3f_0(:,:,jk) == 0._wp ) e3f_0(:,:,jk) = e3t_1d(jk) |
---|
[1099] | 1019 | END DO |
---|
| 1020 | !!gm bug ? : must be a do loop with mj0,mj1 |
---|
| 1021 | ! |
---|
[4292] | 1022 | e3t_0(:,mj0(1),:) = e3t_0(:,mj0(2),:) ! we duplicate factor scales for jj = 1 and jj = 2 |
---|
| 1023 | e3w_0(:,mj0(1),:) = e3w_0(:,mj0(2),:) |
---|
| 1024 | e3u_0(:,mj0(1),:) = e3u_0(:,mj0(2),:) |
---|
| 1025 | e3v_0(:,mj0(1),:) = e3v_0(:,mj0(2),:) |
---|
| 1026 | e3f_0(:,mj0(1),:) = e3f_0(:,mj0(2),:) |
---|
[1083] | 1027 | |
---|
[1099] | 1028 | ! Control of the sign |
---|
[4292] | 1029 | IF( MINVAL( e3t_0 (:,:,:) ) <= 0._wp ) CALL ctl_stop( ' zgr_zps : e r r o r e3t_0 <= 0' ) |
---|
| 1030 | IF( MINVAL( e3w_0 (:,:,:) ) <= 0._wp ) CALL ctl_stop( ' zgr_zps : e r r o r e3w_0 <= 0' ) |
---|
| 1031 | IF( MINVAL( gdept_0(:,:,:) ) < 0._wp ) CALL ctl_stop( ' zgr_zps : e r r o r gdept_0 < 0' ) |
---|
| 1032 | IF( MINVAL( gdepw_0(:,:,:) ) < 0._wp ) CALL ctl_stop( ' zgr_zps : e r r o r gdepw_0 < 0' ) |
---|
[1083] | 1033 | |
---|
[4292] | 1034 | ! Compute gdep3w_0 (vertical sum of e3w) |
---|
| 1035 | gdep3w_0(:,:,1) = 0.5_wp * e3w_0(:,:,1) |
---|
[1099] | 1036 | DO jk = 2, jpk |
---|
[4292] | 1037 | gdep3w_0(:,:,jk) = gdep3w_0(:,:,jk-1) + e3w_0(:,:,jk) |
---|
[1099] | 1038 | END DO |
---|
[2528] | 1039 | |
---|
[1099] | 1040 | ! ! ================= ! |
---|
| 1041 | IF(lwp .AND. ll_print) THEN ! Control print ! |
---|
| 1042 | ! ! ================= ! |
---|
[1083] | 1043 | DO jj = 1,jpj |
---|
| 1044 | DO ji = 1, jpi |
---|
[1099] | 1045 | ik = MAX( mbathy(ji,jj), 1 ) |
---|
[4292] | 1046 | zprt(ji,jj,1) = e3t_0 (ji,jj,ik) |
---|
| 1047 | zprt(ji,jj,2) = e3w_0 (ji,jj,ik) |
---|
| 1048 | zprt(ji,jj,3) = e3u_0 (ji,jj,ik) |
---|
| 1049 | zprt(ji,jj,4) = e3v_0 (ji,jj,ik) |
---|
| 1050 | zprt(ji,jj,5) = e3f_0 (ji,jj,ik) |
---|
| 1051 | zprt(ji,jj,6) = gdep3w_0(ji,jj,ik) |
---|
[1083] | 1052 | END DO |
---|
| 1053 | END DO |
---|
| 1054 | WRITE(numout,*) |
---|
[1099] | 1055 | WRITE(numout,*) 'domzgr e3t(mbathy)' ; CALL prihre(zprt(:,:,1),jpi,jpj,1,jpi,1,1,jpj,1,1.e-3,numout) |
---|
[1083] | 1056 | WRITE(numout,*) |
---|
[3294] | 1057 | WRITE(numout,*) 'domzgr e3w(mbathy)' ; CALL prihre(zprt(:,:,2),jpi,jpj,1,jpi,1,1,jpj,1,1.e-3,numout) |
---|
[1083] | 1058 | WRITE(numout,*) |
---|
[3294] | 1059 | WRITE(numout,*) 'domzgr e3u(mbathy)' ; CALL prihre(zprt(:,:,3),jpi,jpj,1,jpi,1,1,jpj,1,1.e-3,numout) |
---|
[1083] | 1060 | WRITE(numout,*) |
---|
[3294] | 1061 | WRITE(numout,*) 'domzgr e3v(mbathy)' ; CALL prihre(zprt(:,:,4),jpi,jpj,1,jpi,1,1,jpj,1,1.e-3,numout) |
---|
[1083] | 1062 | WRITE(numout,*) |
---|
[3294] | 1063 | WRITE(numout,*) 'domzgr e3f(mbathy)' ; CALL prihre(zprt(:,:,5),jpi,jpj,1,jpi,1,1,jpj,1,1.e-3,numout) |
---|
[1083] | 1064 | WRITE(numout,*) |
---|
[3294] | 1065 | WRITE(numout,*) 'domzgr gdep3w(mbathy)' ; CALL prihre(zprt(:,:,6),jpi,jpj,1,jpi,1,1,jpj,1,1.e-3,numout) |
---|
[1083] | 1066 | ENDIF |
---|
[2528] | 1067 | ! |
---|
[3294] | 1068 | CALL wrk_dealloc( jpi, jpj, jpk, zprt ) |
---|
[2715] | 1069 | ! |
---|
[3294] | 1070 | IF( nn_timing == 1 ) CALL timing_stop('zgr_zps') |
---|
| 1071 | ! |
---|
[1083] | 1072 | END SUBROUTINE zgr_zps |
---|
| 1073 | |
---|
[454] | 1074 | SUBROUTINE zgr_sco |
---|
| 1075 | !!---------------------------------------------------------------------- |
---|
| 1076 | !! *** ROUTINE zgr_sco *** |
---|
| 1077 | !! |
---|
| 1078 | !! ** Purpose : define the s-coordinate system |
---|
| 1079 | !! |
---|
| 1080 | !! ** Method : s-coordinate |
---|
| 1081 | !! The depth of model levels is defined as the product of an |
---|
| 1082 | !! analytical function by the local bathymetry, while the vertical |
---|
| 1083 | !! scale factors are defined as the product of the first derivative |
---|
| 1084 | !! of the analytical function by the bathymetry. |
---|
| 1085 | !! (this solution save memory as depth and scale factors are not |
---|
| 1086 | !! 3d fields) |
---|
| 1087 | !! - Read bathymetry (in meters) at t-point and compute the |
---|
| 1088 | !! bathymetry at u-, v-, and f-points. |
---|
| 1089 | !! hbatu = mi( hbatt ) |
---|
| 1090 | !! hbatv = mj( hbatt ) |
---|
| 1091 | !! hbatf = mi( mj( hbatt ) ) |
---|
[3680] | 1092 | !! - Compute z_gsigt, z_gsigw, z_esigt, z_esigw from an analytical |
---|
[1083] | 1093 | !! function and its derivative given as function. |
---|
[3680] | 1094 | !! z_gsigt(k) = fssig (k ) |
---|
| 1095 | !! z_gsigw(k) = fssig (k-0.5) |
---|
| 1096 | !! z_esigt(k) = fsdsig(k ) |
---|
| 1097 | !! z_esigw(k) = fsdsig(k-0.5) |
---|
| 1098 | !! Three options for stretching are give, and they can be modified |
---|
| 1099 | !! following the users requirements. Nevertheless, the output as |
---|
[454] | 1100 | !! well as the way to compute the model levels and scale factors |
---|
[3680] | 1101 | !! must be respected in order to insure second order accuracy |
---|
[454] | 1102 | !! schemes. |
---|
| 1103 | !! |
---|
[3680] | 1104 | !! The three methods for stretching available are: |
---|
| 1105 | !! |
---|
| 1106 | !! s_sh94 (Song and Haidvogel 1994) |
---|
| 1107 | !! a sinh/tanh function that allows sigma and stretched sigma |
---|
| 1108 | !! |
---|
| 1109 | !! s_sf12 (Siddorn and Furner 2012?) |
---|
| 1110 | !! allows the maintenance of fixed surface and or |
---|
| 1111 | !! bottom cell resolutions (cf. geopotential coordinates) |
---|
| 1112 | !! within an analytically derived stretched S-coordinate framework. |
---|
| 1113 | !! |
---|
| 1114 | !! s_tanh (Madec et al 1996) |
---|
| 1115 | !! a cosh/tanh function that gives stretched coordinates |
---|
| 1116 | !! |
---|
[1099] | 1117 | !!---------------------------------------------------------------------- |
---|
[2715] | 1118 | ! |
---|
[1099] | 1119 | INTEGER :: ji, jj, jk, jl ! dummy loop argument |
---|
| 1120 | INTEGER :: iip1, ijp1, iim1, ijm1 ! temporary integers |
---|
[4147] | 1121 | INTEGER :: ios ! Local integer output status for namelist read |
---|
[3680] | 1122 | REAL(wp) :: zrmax, ztaper ! temporary scalars |
---|
[4245] | 1123 | REAL(wp) :: zrfact |
---|
[5014] | 1124 | REAL(wp) :: zsmth |
---|
[2715] | 1125 | ! |
---|
[4245] | 1126 | REAL(wp), POINTER, DIMENSION(:,: ) :: ztmpi1, ztmpi2, ztmpj1, ztmpj2 |
---|
[4153] | 1127 | REAL(wp), POINTER, DIMENSION(:,: ) :: zenv, ztmp, zmsk, zri, zrj, zhbat |
---|
[2715] | 1128 | |
---|
[3680] | 1129 | NAMELIST/namzgr_sco/ln_s_sh94, ln_s_sf12, ln_sigcrit, rn_sbot_min, rn_sbot_max, rn_hc, rn_rmax,rn_theta, & |
---|
| 1130 | rn_thetb, rn_bb, rn_alpha, rn_efold, rn_zs, rn_zb_a, rn_zb_b |
---|
| 1131 | !!---------------------------------------------------------------------- |
---|
[3294] | 1132 | ! |
---|
| 1133 | IF( nn_timing == 1 ) CALL timing_start('zgr_sco') |
---|
| 1134 | ! |
---|
[4245] | 1135 | CALL wrk_alloc( jpi, jpj, zenv, ztmp, zmsk, zri, zrj, zhbat , ztmpi1, ztmpi2, ztmpj1, ztmpj2 ) |
---|
[4153] | 1136 | ! |
---|
[4147] | 1137 | REWIND( numnam_ref ) ! Namelist namzgr_sco in reference namelist : Sigma-stretching parameters |
---|
| 1138 | READ ( numnam_ref, namzgr_sco, IOSTAT = ios, ERR = 901) |
---|
| 1139 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzgr_sco in reference namelist', lwp ) |
---|
[454] | 1140 | |
---|
[4147] | 1141 | REWIND( numnam_cfg ) ! Namelist namzgr_sco in configuration namelist : Sigma-stretching parameters |
---|
| 1142 | READ ( numnam_cfg, namzgr_sco, IOSTAT = ios, ERR = 902 ) |
---|
| 1143 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzgr_sco in configuration namelist', lwp ) |
---|
[4624] | 1144 | IF(lwm) WRITE ( numond, namzgr_sco ) |
---|
[4147] | 1145 | |
---|
[2715] | 1146 | IF(lwp) THEN ! control print |
---|
[454] | 1147 | WRITE(numout,*) |
---|
[4147] | 1148 | WRITE(numout,*) 'domzgr_sco : s-coordinate or hybrid z-s-coordinate' |
---|
[454] | 1149 | WRITE(numout,*) '~~~~~~~~~~~' |
---|
[1601] | 1150 | WRITE(numout,*) ' Namelist namzgr_sco' |
---|
[3680] | 1151 | WRITE(numout,*) ' stretching coeffs ' |
---|
| 1152 | WRITE(numout,*) ' maximum depth of s-bottom surface (>0) rn_sbot_max = ',rn_sbot_max |
---|
| 1153 | WRITE(numout,*) ' minimum depth of s-bottom surface (>0) rn_sbot_min = ',rn_sbot_min |
---|
| 1154 | WRITE(numout,*) ' Critical depth rn_hc = ',rn_hc |
---|
| 1155 | WRITE(numout,*) ' maximum cut-off r-value allowed rn_rmax = ',rn_rmax |
---|
| 1156 | WRITE(numout,*) ' Song and Haidvogel 1994 stretching ln_s_sh94 = ',ln_s_sh94 |
---|
| 1157 | WRITE(numout,*) ' Song and Haidvogel 1994 stretching coefficients' |
---|
| 1158 | WRITE(numout,*) ' surface control parameter (0<=rn_theta<=20) rn_theta = ',rn_theta |
---|
| 1159 | WRITE(numout,*) ' bottom control parameter (0<=rn_thetb<= 1) rn_thetb = ',rn_thetb |
---|
| 1160 | WRITE(numout,*) ' stretching parameter (song and haidvogel) rn_bb = ',rn_bb |
---|
| 1161 | WRITE(numout,*) ' Siddorn and Furner 2012 stretching ln_s_sf12 = ',ln_s_sf12 |
---|
| 1162 | WRITE(numout,*) ' switching to sigma (T) or Z (F) at H<Hc ln_sigcrit = ',ln_sigcrit |
---|
| 1163 | WRITE(numout,*) ' Siddorn and Furner 2012 stretching coefficients' |
---|
| 1164 | WRITE(numout,*) ' stretchin parameter ( >1 surface; <1 bottom) rn_alpha = ',rn_alpha |
---|
| 1165 | WRITE(numout,*) ' e-fold length scale for transition region rn_efold = ',rn_efold |
---|
| 1166 | WRITE(numout,*) ' Surface cell depth (Zs) (m) rn_zs = ',rn_zs |
---|
| 1167 | WRITE(numout,*) ' Bathymetry multiplier for Zb rn_zb_a = ',rn_zb_a |
---|
| 1168 | WRITE(numout,*) ' Offset for Zb rn_zb_b = ',rn_zb_b |
---|
| 1169 | WRITE(numout,*) ' Bottom cell (Zb) (m) = H*rn_zb_a + rn_zb_b' |
---|
[454] | 1170 | ENDIF |
---|
| 1171 | |
---|
[1601] | 1172 | hift(:,:) = rn_sbot_min ! set the minimum depth for the s-coordinate |
---|
| 1173 | hifu(:,:) = rn_sbot_min |
---|
| 1174 | hifv(:,:) = rn_sbot_min |
---|
| 1175 | hiff(:,:) = rn_sbot_min |
---|
[1348] | 1176 | |
---|
| 1177 | ! ! set maximum ocean depth |
---|
[1601] | 1178 | bathy(:,:) = MIN( rn_sbot_max, bathy(:,:) ) |
---|
[454] | 1179 | |
---|
[5014] | 1180 | IF(.NOT.ln_wd) THEN |
---|
[1461] | 1181 | DO jj = 1, jpj |
---|
| 1182 | DO ji = 1, jpi |
---|
[2715] | 1183 | IF( bathy(ji,jj) > 0._wp ) bathy(ji,jj) = MAX( rn_sbot_min, bathy(ji,jj) ) |
---|
[1461] | 1184 | END DO |
---|
| 1185 | END DO |
---|
[5014] | 1186 | END IF |
---|
[1099] | 1187 | ! ! ============================= |
---|
| 1188 | ! ! Define the envelop bathymetry (hbatt) |
---|
| 1189 | ! ! ============================= |
---|
[454] | 1190 | ! use r-value to create hybrid coordinates |
---|
[4245] | 1191 | zenv(:,:) = bathy(:,:) |
---|
| 1192 | ! |
---|
[5014] | 1193 | IF(.NOT.ln_wd) THEN |
---|
[4245] | 1194 | ! set first land point adjacent to a wet cell to sbot_min as this needs to be included in smoothing |
---|
[4153] | 1195 | DO jj = 1, jpj |
---|
| 1196 | DO ji = 1, jpi |
---|
[4245] | 1197 | IF( bathy(ji,jj) == 0._wp ) THEN |
---|
| 1198 | iip1 = MIN( ji+1, jpi ) |
---|
| 1199 | ijp1 = MIN( jj+1, jpj ) |
---|
| 1200 | iim1 = MAX( ji-1, 1 ) |
---|
| 1201 | ijm1 = MAX( jj-1, 1 ) |
---|
| 1202 | IF( (bathy(iip1,jj) + bathy(iim1,jj) + bathy(ji,ijp1) + bathy(ji,ijm1) + & |
---|
| 1203 | & bathy(iip1,ijp1) + bathy(iim1,ijm1) + bathy(iip1,ijp1) + bathy(iim1,ijm1)) > 0._wp ) THEN |
---|
| 1204 | zenv(ji,jj) = rn_sbot_min |
---|
| 1205 | ENDIF |
---|
| 1206 | ENDIF |
---|
[4153] | 1207 | END DO |
---|
| 1208 | END DO |
---|
[5014] | 1209 | END IF |
---|
| 1210 | |
---|
[4245] | 1211 | ! apply lateral boundary condition CAUTION: keep the value when the lbc field is zero |
---|
| 1212 | CALL lbc_lnk( zenv, 'T', 1._wp, 'no0' ) |
---|
[1639] | 1213 | ! |
---|
[4245] | 1214 | ! smooth the bathymetry (if required) |
---|
[2528] | 1215 | scosrf(:,:) = 0._wp ! ocean surface depth (here zero: no under ice-shelf sea) |
---|
[1639] | 1216 | scobot(:,:) = bathy(:,:) ! ocean bottom depth |
---|
| 1217 | ! |
---|
[454] | 1218 | jl = 0 |
---|
[2528] | 1219 | zrmax = 1._wp |
---|
[4245] | 1220 | ! |
---|
| 1221 | ! |
---|
| 1222 | ! set scaling factor used in reducing vertical gradients |
---|
| 1223 | zrfact = ( 1._wp - rn_rmax ) / ( 1._wp + rn_rmax ) |
---|
| 1224 | ! |
---|
| 1225 | ! initialise temporary evelope depth arrays |
---|
| 1226 | ztmpi1(:,:) = zenv(:,:) |
---|
| 1227 | ztmpi2(:,:) = zenv(:,:) |
---|
| 1228 | ztmpj1(:,:) = zenv(:,:) |
---|
| 1229 | ztmpj2(:,:) = zenv(:,:) |
---|
| 1230 | ! |
---|
| 1231 | ! initialise temporary r-value arrays |
---|
| 1232 | zri(:,:) = 1._wp |
---|
| 1233 | zrj(:,:) = 1._wp |
---|
| 1234 | ! ! ================ ! |
---|
| 1235 | DO WHILE( jl <= 10000 .AND. ( zrmax - rn_rmax ) > 1.e-8_wp ) ! Iterative loop ! |
---|
| 1236 | ! ! ================ ! |
---|
[454] | 1237 | jl = jl + 1 |
---|
[2528] | 1238 | zrmax = 0._wp |
---|
[4245] | 1239 | ! we set zrmax from previous r-values (zri and zrj) first |
---|
| 1240 | ! if set after current r-value calculation (as previously) |
---|
| 1241 | ! we could exit DO WHILE prematurely before checking r-value |
---|
| 1242 | ! of current zenv |
---|
[454] | 1243 | DO jj = 1, nlcj |
---|
| 1244 | DO ji = 1, nlci |
---|
[4245] | 1245 | zrmax = MAX( zrmax, ABS(zri(ji,jj)), ABS(zrj(ji,jj)) ) |
---|
[454] | 1246 | END DO |
---|
| 1247 | END DO |
---|
[4245] | 1248 | zri(:,:) = 0._wp |
---|
| 1249 | zrj(:,:) = 0._wp |
---|
[5014] | 1250 | |
---|
| 1251 | !IF(ln_wd) THEN !extend the smoothed region to cover the W/D zones |
---|
| 1252 | ! zsmth = -rn_wdld |
---|
| 1253 | !ELSE |
---|
| 1254 | zsmth = 0._wp ! The original form (only smooth ocean points) |
---|
| 1255 | !ENDIF |
---|
| 1256 | |
---|
[454] | 1257 | DO jj = 1, nlcj |
---|
| 1258 | DO ji = 1, nlci |
---|
[4245] | 1259 | iip1 = MIN( ji+1, nlci ) ! force zri = 0 on last line (ji=ncli+1 to jpi) |
---|
| 1260 | ijp1 = MIN( jj+1, nlcj ) ! force zrj = 0 on last raw (jj=nclj+1 to jpj) |
---|
[5014] | 1261 | IF( (zenv(ji,jj) > zsmth) .AND. (zenv(iip1,jj) > zsmth)) THEN |
---|
[4245] | 1262 | zri(ji,jj) = ( zenv(iip1,jj ) - zenv(ji,jj) ) / ( zenv(iip1,jj ) + zenv(ji,jj) ) |
---|
| 1263 | END IF |
---|
[5014] | 1264 | IF( (zenv(ji,jj) > zsmth) .AND. (zenv(ji,ijp1) > zsmth)) THEN |
---|
[4245] | 1265 | zrj(ji,jj) = ( zenv(ji ,ijp1) - zenv(ji,jj) ) / ( zenv(ji ,ijp1) + zenv(ji,jj) ) |
---|
| 1266 | END IF |
---|
| 1267 | IF( zri(ji,jj) > rn_rmax ) ztmpi1(ji ,jj ) = zenv(iip1,jj ) * zrfact |
---|
| 1268 | IF( zri(ji,jj) < -rn_rmax ) ztmpi2(iip1,jj ) = zenv(ji ,jj ) * zrfact |
---|
| 1269 | IF( zrj(ji,jj) > rn_rmax ) ztmpj1(ji ,jj ) = zenv(ji ,ijp1) * zrfact |
---|
| 1270 | IF( zrj(ji,jj) < -rn_rmax ) ztmpj2(ji ,ijp1) = zenv(ji ,jj ) * zrfact |
---|
[454] | 1271 | END DO |
---|
| 1272 | END DO |
---|
[5014] | 1273 | |
---|
[4245] | 1274 | IF( lk_mpp ) CALL mpp_max( zrmax ) ! max over the global domain |
---|
[1348] | 1275 | ! |
---|
[4245] | 1276 | IF(lwp)WRITE(numout,*) 'zgr_sco : iter= ',jl, ' rmax= ', zrmax |
---|
[1099] | 1277 | ! |
---|
[454] | 1278 | DO jj = 1, nlcj |
---|
| 1279 | DO ji = 1, nlci |
---|
[4245] | 1280 | zenv(ji,jj) = MAX(zenv(ji,jj), ztmpi1(ji,jj), ztmpi2(ji,jj), ztmpj1(ji,jj), ztmpj2(ji,jj) ) |
---|
[454] | 1281 | END DO |
---|
| 1282 | END DO |
---|
[4245] | 1283 | ! apply lateral boundary condition CAUTION: keep the value when the lbc field is zero |
---|
| 1284 | CALL lbc_lnk( zenv, 'T', 1._wp, 'no0' ) |
---|
[454] | 1285 | ! ! ================ ! |
---|
| 1286 | END DO ! End loop ! |
---|
| 1287 | ! ! ================ ! |
---|
[5014] | 1288 | IF(ln_wd) THEN |
---|
| 1289 | DO jj = 1, jpj |
---|
| 1290 | DO ji = 1, jpi |
---|
| 1291 | zenv(ji,jj) = MAX( zenv(ji,jj), -rn_wdld ) ! filt out land bathy data |
---|
| 1292 | END DO |
---|
| 1293 | END DO |
---|
| 1294 | ELSE |
---|
| 1295 | DO jj = 1, jpj |
---|
| 1296 | DO ji = 1, jpi |
---|
| 1297 | zenv(ji,jj) = MAX( zenv(ji,jj), rn_sbot_min ) ! set all points to avoid undefined scale value warnings |
---|
| 1298 | END DO |
---|
| 1299 | END DO |
---|
| 1300 | ENDIF |
---|
[3764] | 1301 | ! |
---|
| 1302 | ! Envelope bathymetry saved in hbatt |
---|
[454] | 1303 | hbatt(:,:) = zenv(:,:) |
---|
[2528] | 1304 | IF( MINVAL( gphit(:,:) ) * MAXVAL( gphit(:,:) ) <= 0._wp ) THEN |
---|
[1099] | 1305 | CALL ctl_warn( ' s-coordinates are tapered in vicinity of the Equator' ) |
---|
| 1306 | DO jj = 1, jpj |
---|
| 1307 | DO ji = 1, jpi |
---|
[4153] | 1308 | ztaper = EXP( -(gphit(ji,jj)/8._wp)**2._wp ) |
---|
[2528] | 1309 | hbatt(ji,jj) = rn_sbot_max * ztaper + hbatt(ji,jj) * ( 1._wp - ztaper ) |
---|
[1099] | 1310 | END DO |
---|
| 1311 | END DO |
---|
[516] | 1312 | ENDIF |
---|
[1099] | 1313 | ! |
---|
| 1314 | IF(lwp) THEN ! Control print |
---|
[454] | 1315 | WRITE(numout,*) |
---|
| 1316 | WRITE(numout,*) ' domzgr: hbatt field; ocean depth in meters' |
---|
| 1317 | WRITE(numout,*) |
---|
[2528] | 1318 | CALL prihre( hbatt(1,1), jpi, jpj, 1, jpi, 1, 1, jpj, 1, 0._wp, numout ) |
---|
[1099] | 1319 | IF( nprint == 1 ) THEN |
---|
| 1320 | WRITE(numout,*) ' bathy MAX ', MAXVAL( bathy(:,:) ), ' MIN ', MINVAL( bathy(:,:) ) |
---|
| 1321 | WRITE(numout,*) ' hbatt MAX ', MAXVAL( hbatt(:,:) ), ' MIN ', MINVAL( hbatt(:,:) ) |
---|
| 1322 | ENDIF |
---|
[454] | 1323 | ENDIF |
---|
| 1324 | |
---|
[1099] | 1325 | ! ! ============================== |
---|
| 1326 | ! ! hbatu, hbatv, hbatf fields |
---|
| 1327 | ! ! ============================== |
---|
[454] | 1328 | IF(lwp) THEN |
---|
| 1329 | WRITE(numout,*) |
---|
[5014] | 1330 | IF(.NOT.ln_wd) THEN |
---|
| 1331 | WRITE(numout,*) ' zgr_sco: minimum depth of the envelop topography set to : ', rn_sbot_min |
---|
| 1332 | ELSE |
---|
| 1333 | WRITE(numout,*) ' zgr_sco: minimum positive depth of the envelop topography set to : ', rn_sbot_min |
---|
| 1334 | WRITE(numout,*) ' zgr_sco: minimum negative depth of the envelop topography set to : ', -rn_wdld |
---|
| 1335 | ENDIF |
---|
[454] | 1336 | ENDIF |
---|
[1601] | 1337 | hbatu(:,:) = rn_sbot_min |
---|
| 1338 | hbatv(:,:) = rn_sbot_min |
---|
| 1339 | hbatf(:,:) = rn_sbot_min |
---|
[454] | 1340 | DO jj = 1, jpjm1 |
---|
[1694] | 1341 | DO ji = 1, jpim1 ! NO vector opt. |
---|
[2528] | 1342 | hbatu(ji,jj) = 0.50_wp * ( hbatt(ji ,jj) + hbatt(ji+1,jj ) ) |
---|
| 1343 | hbatv(ji,jj) = 0.50_wp * ( hbatt(ji ,jj) + hbatt(ji ,jj+1) ) |
---|
| 1344 | hbatf(ji,jj) = 0.25_wp * ( hbatt(ji ,jj) + hbatt(ji ,jj+1) & |
---|
| 1345 | & + hbatt(ji+1,jj) + hbatt(ji+1,jj+1) ) |
---|
[454] | 1346 | END DO |
---|
| 1347 | END DO |
---|
[5014] | 1348 | |
---|
| 1349 | IF(ln_wd) THEN !avoid the zero depth on T- (U-,V-,F-) points |
---|
| 1350 | DO jj = 1, jpj |
---|
| 1351 | DO ji = 1, jpi |
---|
| 1352 | IF(ABS(hbatt(ji,jj)) < rn_wdmin1) & |
---|
| 1353 | & hbatt(ji,jj) = SIGN(1._wp, hbatt(ji,jj)) * rn_wdmin1 |
---|
| 1354 | IF(ABS(hbatu(ji,jj)) < rn_wdmin1) & |
---|
| 1355 | & hbatu(ji,jj) = SIGN(1._wp, hbatu(ji,jj)) * rn_wdmin1 |
---|
| 1356 | IF(ABS(hbatv(ji,jj)) < rn_wdmin1) & |
---|
| 1357 | & hbatv(ji,jj) = SIGN(1._wp, hbatv(ji,jj)) * rn_wdmin1 |
---|
| 1358 | IF(ABS(hbatf(ji,jj)) < rn_wdmin1) & |
---|
| 1359 | & hbatf(ji,jj) = SIGN(1._wp, hbatf(ji,jj)) * rn_wdmin1 |
---|
| 1360 | END DO |
---|
| 1361 | END DO |
---|
| 1362 | END IF |
---|
[1099] | 1363 | ! |
---|
[454] | 1364 | ! Apply lateral boundary condition |
---|
[1099] | 1365 | !!gm ! CAUTION: retain non zero value in the initial file this should be OK for orca cfg, not for EEL |
---|
[5014] | 1366 | |
---|
[2528] | 1367 | zhbat(:,:) = hbatu(:,:) ; CALL lbc_lnk( hbatu, 'U', 1._wp ) |
---|
[454] | 1368 | DO jj = 1, jpj |
---|
| 1369 | DO ji = 1, jpi |
---|
[2528] | 1370 | IF( hbatu(ji,jj) == 0._wp ) THEN |
---|
[5014] | 1371 | !No worries about the following line when ln_wd == .true. |
---|
[2528] | 1372 | IF( zhbat(ji,jj) == 0._wp ) hbatu(ji,jj) = rn_sbot_min |
---|
| 1373 | IF( zhbat(ji,jj) /= 0._wp ) hbatu(ji,jj) = zhbat(ji,jj) |
---|
[454] | 1374 | ENDIF |
---|
| 1375 | END DO |
---|
| 1376 | END DO |
---|
[5014] | 1377 | |
---|
[2528] | 1378 | zhbat(:,:) = hbatv(:,:) ; CALL lbc_lnk( hbatv, 'V', 1._wp ) |
---|
[454] | 1379 | DO jj = 1, jpj |
---|
| 1380 | DO ji = 1, jpi |
---|
[2528] | 1381 | IF( hbatv(ji,jj) == 0._wp ) THEN |
---|
| 1382 | IF( zhbat(ji,jj) == 0._wp ) hbatv(ji,jj) = rn_sbot_min |
---|
| 1383 | IF( zhbat(ji,jj) /= 0._wp ) hbatv(ji,jj) = zhbat(ji,jj) |
---|
[454] | 1384 | ENDIF |
---|
| 1385 | END DO |
---|
| 1386 | END DO |
---|
[5014] | 1387 | |
---|
[2528] | 1388 | zhbat(:,:) = hbatf(:,:) ; CALL lbc_lnk( hbatf, 'F', 1._wp ) |
---|
[454] | 1389 | DO jj = 1, jpj |
---|
| 1390 | DO ji = 1, jpi |
---|
[2528] | 1391 | IF( hbatf(ji,jj) == 0._wp ) THEN |
---|
| 1392 | IF( zhbat(ji,jj) == 0._wp ) hbatf(ji,jj) = rn_sbot_min |
---|
| 1393 | IF( zhbat(ji,jj) /= 0._wp ) hbatf(ji,jj) = zhbat(ji,jj) |
---|
[454] | 1394 | ENDIF |
---|
| 1395 | END DO |
---|
| 1396 | END DO |
---|
| 1397 | |
---|
| 1398 | !!bug: key_helsinki a verifer |
---|
[5014] | 1399 | IF(.NOT.ln_wd) THEN |
---|
| 1400 | hift(:,:) = MIN( hift(:,:), hbatt(:,:) ) |
---|
| 1401 | hifu(:,:) = MIN( hifu(:,:), hbatu(:,:) ) |
---|
| 1402 | hifv(:,:) = MIN( hifv(:,:), hbatv(:,:) ) |
---|
| 1403 | hiff(:,:) = MIN( hiff(:,:), hbatf(:,:) ) |
---|
| 1404 | END IF |
---|
[454] | 1405 | |
---|
[516] | 1406 | IF( nprint == 1 .AND. lwp ) THEN |
---|
[1099] | 1407 | WRITE(numout,*) ' MAX val hif t ', MAXVAL( hift (:,:) ), ' f ', MAXVAL( hiff (:,:) ), & |
---|
| 1408 | & ' u ', MAXVAL( hifu (:,:) ), ' v ', MAXVAL( hifv (:,:) ) |
---|
| 1409 | WRITE(numout,*) ' MIN val hif t ', MINVAL( hift (:,:) ), ' f ', MINVAL( hiff (:,:) ), & |
---|
| 1410 | & ' u ', MINVAL( hifu (:,:) ), ' v ', MINVAL( hifv (:,:) ) |
---|
[516] | 1411 | WRITE(numout,*) ' MAX val hbat t ', MAXVAL( hbatt(:,:) ), ' f ', MAXVAL( hbatf(:,:) ), & |
---|
| 1412 | & ' u ', MAXVAL( hbatu(:,:) ), ' v ', MAXVAL( hbatv(:,:) ) |
---|
| 1413 | WRITE(numout,*) ' MIN val hbat t ', MINVAL( hbatt(:,:) ), ' f ', MINVAL( hbatf(:,:) ), & |
---|
| 1414 | & ' u ', MINVAL( hbatu(:,:) ), ' v ', MINVAL( hbatv(:,:) ) |
---|
| 1415 | ENDIF |
---|
[454] | 1416 | !! helsinki |
---|
| 1417 | |
---|
[1099] | 1418 | ! ! ======================= |
---|
| 1419 | ! ! s-ccordinate fields (gdep., e3.) |
---|
| 1420 | ! ! ======================= |
---|
| 1421 | ! |
---|
| 1422 | ! non-dimensional "sigma" for model level depth at w- and t-levels |
---|
[1348] | 1423 | |
---|
| 1424 | |
---|
[3680] | 1425 | !======================================================================== |
---|
| 1426 | ! Song and Haidvogel 1994 (ln_s_sh94=T) |
---|
| 1427 | ! Siddorn and Furner 2012 (ln_sf12=T) |
---|
| 1428 | ! or tanh function (both false) |
---|
| 1429 | !======================================================================== |
---|
| 1430 | IF ( ln_s_sh94 ) THEN |
---|
| 1431 | CALL s_sh94() |
---|
| 1432 | ELSE IF ( ln_s_sf12 ) THEN |
---|
| 1433 | CALL s_sf12() |
---|
| 1434 | ELSE |
---|
| 1435 | CALL s_tanh() |
---|
| 1436 | ENDIF |
---|
[2528] | 1437 | |
---|
[4292] | 1438 | CALL lbc_lnk( e3t_0 , 'T', 1._wp ) |
---|
| 1439 | CALL lbc_lnk( e3u_0 , 'U', 1._wp ) |
---|
| 1440 | CALL lbc_lnk( e3v_0 , 'V', 1._wp ) |
---|
| 1441 | CALL lbc_lnk( e3f_0 , 'F', 1._wp ) |
---|
| 1442 | CALL lbc_lnk( e3w_0 , 'W', 1._wp ) |
---|
| 1443 | CALL lbc_lnk( e3uw_0, 'U', 1._wp ) |
---|
| 1444 | CALL lbc_lnk( e3vw_0, 'V', 1._wp ) |
---|
[2715] | 1445 | |
---|
[5014] | 1446 | !fsdepw(:,:,:) = gdepw_0 (:,:,:) |
---|
| 1447 | !fsde3w(:,:,:) = gdep3w_0(:,:,:) |
---|
[1099] | 1448 | ! |
---|
[5014] | 1449 | IF(.NOT.ln_wd) THEN |
---|
| 1450 | where (e3t_0 (:,:,:).eq.0.0) e3t_0(:,:,:) = 1.0 |
---|
| 1451 | where (e3u_0 (:,:,:).eq.0.0) e3u_0(:,:,:) = 1.0 |
---|
| 1452 | where (e3v_0 (:,:,:).eq.0.0) e3v_0(:,:,:) = 1.0 |
---|
| 1453 | where (e3f_0 (:,:,:).eq.0.0) e3f_0(:,:,:) = 1.0 |
---|
| 1454 | where (e3w_0 (:,:,:).eq.0.0) e3w_0(:,:,:) = 1.0 |
---|
| 1455 | where (e3uw_0 (:,:,:).eq.0.0) e3uw_0(:,:,:) = 1.0 |
---|
| 1456 | where (e3vw_0 (:,:,:).eq.0.0) e3vw_0(:,:,:) = 1.0 |
---|
| 1457 | END IF |
---|
[1461] | 1458 | |
---|
[4153] | 1459 | #if defined key_agrif |
---|
| 1460 | ! Ensure meaningful vertical scale factors in ghost lines/columns |
---|
| 1461 | IF( .NOT. Agrif_Root() ) THEN |
---|
| 1462 | ! |
---|
| 1463 | IF((nbondi == -1).OR.(nbondi == 2)) THEN |
---|
[4292] | 1464 | e3u_0(1,:,:) = e3u_0(2,:,:) |
---|
[4153] | 1465 | ENDIF |
---|
| 1466 | ! |
---|
| 1467 | IF((nbondi == 1).OR.(nbondi == 2)) THEN |
---|
[4292] | 1468 | e3u_0(nlci-1,:,:) = e3u_0(nlci-2,:,:) |
---|
[4153] | 1469 | ENDIF |
---|
| 1470 | ! |
---|
| 1471 | IF((nbondj == -1).OR.(nbondj == 2)) THEN |
---|
[4292] | 1472 | e3v_0(:,1,:) = e3v_0(:,2,:) |
---|
[4153] | 1473 | ENDIF |
---|
| 1474 | ! |
---|
| 1475 | IF((nbondj == 1).OR.(nbondj == 2)) THEN |
---|
[4292] | 1476 | e3v_0(:,nlcj-1,:) = e3v_0(:,nlcj-2,:) |
---|
[4153] | 1477 | ENDIF |
---|
| 1478 | ! |
---|
| 1479 | ENDIF |
---|
| 1480 | #endif |
---|
[3294] | 1481 | |
---|
[4292] | 1482 | fsdept(:,:,:) = gdept_0 (:,:,:) |
---|
| 1483 | fsdepw(:,:,:) = gdepw_0 (:,:,:) |
---|
| 1484 | fsde3w(:,:,:) = gdep3w_0(:,:,:) |
---|
| 1485 | fse3t (:,:,:) = e3t_0 (:,:,:) |
---|
| 1486 | fse3u (:,:,:) = e3u_0 (:,:,:) |
---|
| 1487 | fse3v (:,:,:) = e3v_0 (:,:,:) |
---|
| 1488 | fse3f (:,:,:) = e3f_0 (:,:,:) |
---|
| 1489 | fse3w (:,:,:) = e3w_0 (:,:,:) |
---|
| 1490 | fse3uw(:,:,:) = e3uw_0 (:,:,:) |
---|
| 1491 | fse3vw(:,:,:) = e3vw_0 (:,:,:) |
---|
[1461] | 1492 | !! |
---|
[1099] | 1493 | ! HYBRID : |
---|
[454] | 1494 | DO jj = 1, jpj |
---|
| 1495 | DO ji = 1, jpi |
---|
| 1496 | DO jk = 1, jpkm1 |
---|
| 1497 | IF( scobot(ji,jj) >= fsdept(ji,jj,jk) ) mbathy(ji,jj) = MAX( 2, jk ) |
---|
| 1498 | END DO |
---|
[5014] | 1499 | |
---|
| 1500 | IF(ln_wd) THEN |
---|
| 1501 | IF( scobot(ji,jj) <= -(rn_wdld - rn_wdmin2)) THEN |
---|
| 1502 | mbathy(ji,jj) = 0 |
---|
| 1503 | ELSEIF(scobot(ji,jj) <= rn_wdmin1) THEN |
---|
| 1504 | mbathy(ji,jj) = 2 |
---|
| 1505 | ENDIF |
---|
| 1506 | ELSE |
---|
| 1507 | IF( scobot(ji,jj) == 0._wp ) mbathy(ji,jj) = 0 |
---|
| 1508 | ENDIF |
---|
[454] | 1509 | END DO |
---|
| 1510 | END DO |
---|
[5014] | 1511 | |
---|
[1099] | 1512 | IF( nprint == 1 .AND. lwp ) WRITE(numout,*) ' MIN val mbathy h90 ', MINVAL( mbathy(:,:) ), & |
---|
| 1513 | & ' MAX ', MAXVAL( mbathy(:,:) ) |
---|
[454] | 1514 | |
---|
[1099] | 1515 | IF( nprint == 1 .AND. lwp ) THEN ! min max values over the local domain |
---|
[4292] | 1516 | WRITE(numout,*) ' MIN val mbathy ', MINVAL( mbathy(:,:) ), ' MAX ', MAXVAL( mbathy(:,:) ) |
---|
| 1517 | WRITE(numout,*) ' MIN val depth t ', MINVAL( gdept_0(:,:,:) ), & |
---|
| 1518 | & ' w ', MINVAL( gdepw_0(:,:,:) ), '3w ' , MINVAL( gdep3w_0(:,:,:) ) |
---|
| 1519 | WRITE(numout,*) ' MIN val e3 t ', MINVAL( e3t_0 (:,:,:) ), ' f ' , MINVAL( e3f_0 (:,:,:) ), & |
---|
| 1520 | & ' u ', MINVAL( e3u_0 (:,:,:) ), ' u ' , MINVAL( e3v_0 (:,:,:) ), & |
---|
| 1521 | & ' uw', MINVAL( e3uw_0 (:,:,:) ), ' vw' , MINVAL( e3vw_0 (:,:,:) ), & |
---|
| 1522 | & ' w ', MINVAL( e3w_0 (:,:,:) ) |
---|
[454] | 1523 | |
---|
[4292] | 1524 | WRITE(numout,*) ' MAX val depth t ', MAXVAL( gdept_0(:,:,:) ), & |
---|
| 1525 | & ' w ', MAXVAL( gdepw_0(:,:,:) ), '3w ' , MAXVAL( gdep3w_0(:,:,:) ) |
---|
| 1526 | WRITE(numout,*) ' MAX val e3 t ', MAXVAL( e3t_0 (:,:,:) ), ' f ' , MAXVAL( e3f_0 (:,:,:) ), & |
---|
| 1527 | & ' u ', MAXVAL( e3u_0 (:,:,:) ), ' u ' , MAXVAL( e3v_0 (:,:,:) ), & |
---|
| 1528 | & ' uw', MAXVAL( e3uw_0 (:,:,:) ), ' vw' , MAXVAL( e3vw_0 (:,:,:) ), & |
---|
| 1529 | & ' w ', MAXVAL( e3w_0 (:,:,:) ) |
---|
[1099] | 1530 | ENDIF |
---|
[3680] | 1531 | ! END DO |
---|
[1099] | 1532 | IF(lwp) THEN ! selected vertical profiles |
---|
[454] | 1533 | WRITE(numout,*) |
---|
| 1534 | WRITE(numout,*) ' domzgr: vertical coordinates : point (1,1,k) bathy = ', bathy(1,1), hbatt(1,1) |
---|
| 1535 | WRITE(numout,*) ' ~~~~~~ --------------------' |
---|
[4292] | 1536 | WRITE(numout,"(9x,' level gdept_0 gdepw_0 e3t_0 e3w_0')") |
---|
| 1537 | WRITE(numout,"(10x,i4,4f9.2)") ( jk, gdept_0(1,1,jk), gdepw_0(1,1,jk), & |
---|
| 1538 | & e3t_0 (1,1,jk) , e3w_0 (1,1,jk) , jk=1,jpk ) |
---|
| 1539 | DO jj = mj0(20), mj1(20) |
---|
| 1540 | DO ji = mi0(20), mi1(20) |
---|
[473] | 1541 | WRITE(numout,*) |
---|
[4292] | 1542 | WRITE(numout,*) ' domzgr: vertical coordinates : point (20,20,k) bathy = ', bathy(ji,jj), hbatt(ji,jj) |
---|
[473] | 1543 | WRITE(numout,*) ' ~~~~~~ --------------------' |
---|
[4292] | 1544 | WRITE(numout,"(9x,' level gdept_0 gdepw_0 e3t_0 e3w_0')") |
---|
| 1545 | WRITE(numout,"(10x,i4,4f9.2)") ( jk, gdept_0(ji,jj,jk), gdepw_0(ji,jj,jk), & |
---|
| 1546 | & e3t_0 (ji,jj,jk) , e3w_0 (ji,jj,jk) , jk=1,jpk ) |
---|
[473] | 1547 | END DO |
---|
| 1548 | END DO |
---|
[4292] | 1549 | DO jj = mj0(74), mj1(74) |
---|
| 1550 | DO ji = mi0(100), mi1(100) |
---|
[473] | 1551 | WRITE(numout,*) |
---|
[4292] | 1552 | WRITE(numout,*) ' domzgr: vertical coordinates : point (100,74,k) bathy = ', bathy(ji,jj), hbatt(ji,jj) |
---|
[473] | 1553 | WRITE(numout,*) ' ~~~~~~ --------------------' |
---|
[4292] | 1554 | WRITE(numout,"(9x,' level gdept_0 gdepw_0 e3t_0 e3w_0')") |
---|
| 1555 | WRITE(numout,"(10x,i4,4f9.2)") ( jk, gdept_0(ji,jj,jk), gdepw_0(ji,jj,jk), & |
---|
| 1556 | & e3t_0 (ji,jj,jk) , e3w_0 (ji,jj,jk) , jk=1,jpk ) |
---|
[473] | 1557 | END DO |
---|
| 1558 | END DO |
---|
[454] | 1559 | ENDIF |
---|
| 1560 | |
---|
[3680] | 1561 | !================================================================================ |
---|
| 1562 | ! check the coordinate makes sense |
---|
| 1563 | !================================================================================ |
---|
| 1564 | DO ji = 1, jpi |
---|
[454] | 1565 | DO jj = 1, jpj |
---|
[3680] | 1566 | |
---|
[5044] | 1567 | IF( bathy(ji,jj) > 0._wp) THEN |
---|
[3680] | 1568 | DO jk = 1, mbathy(ji,jj) |
---|
| 1569 | ! check coordinate is monotonically increasing |
---|
| 1570 | IF (fse3w(ji,jj,jk) <= 0._wp .OR. fse3t(ji,jj,jk) <= 0._wp ) THEN |
---|
| 1571 | WRITE(ctmp1,*) 'ERROR zgr_sco : e3w or e3t =< 0 at point (i,j,k)= ', ji, jj, jk |
---|
| 1572 | WRITE(numout,*) 'ERROR zgr_sco : e3w or e3t =< 0 at point (i,j,k)= ', ji, jj, jk |
---|
| 1573 | WRITE(numout,*) 'e3w',fse3w(ji,jj,:) |
---|
| 1574 | WRITE(numout,*) 'e3t',fse3t(ji,jj,:) |
---|
| 1575 | CALL ctl_stop( ctmp1 ) |
---|
| 1576 | ENDIF |
---|
| 1577 | ! and check it has never gone negative |
---|
| 1578 | IF( fsdepw(ji,jj,jk) < 0._wp .OR. fsdept(ji,jj,jk) < 0._wp ) THEN |
---|
| 1579 | WRITE(ctmp1,*) 'ERROR zgr_sco : gdepw or gdept =< 0 at point (i,j,k)= ', ji, jj, jk |
---|
| 1580 | WRITE(numout,*) 'ERROR zgr_sco : gdepw or gdept =< 0 at point (i,j,k)= ', ji, jj, jk |
---|
| 1581 | WRITE(numout,*) 'gdepw',fsdepw(ji,jj,:) |
---|
| 1582 | WRITE(numout,*) 'gdept',fsdept(ji,jj,:) |
---|
| 1583 | CALL ctl_stop( ctmp1 ) |
---|
| 1584 | ENDIF |
---|
| 1585 | ! and check it never exceeds the total depth |
---|
| 1586 | IF( fsdepw(ji,jj,jk) > hbatt(ji,jj) ) THEN |
---|
| 1587 | WRITE(ctmp1,*) 'ERROR zgr_sco : gdepw > hbatt at point (i,j,k)= ', ji, jj, jk |
---|
| 1588 | WRITE(numout,*) 'ERROR zgr_sco : gdepw > hbatt at point (i,j,k)= ', ji, jj, jk |
---|
| 1589 | WRITE(numout,*) 'gdepw',fsdepw(ji,jj,:) |
---|
| 1590 | CALL ctl_stop( ctmp1 ) |
---|
| 1591 | ENDIF |
---|
| 1592 | END DO |
---|
| 1593 | |
---|
| 1594 | DO jk = 1, mbathy(ji,jj)-1 |
---|
| 1595 | ! and check it never exceeds the total depth |
---|
| 1596 | IF( fsdept(ji,jj,jk) > hbatt(ji,jj) ) THEN |
---|
| 1597 | WRITE(ctmp1,*) 'ERROR zgr_sco : gdept > hbatt at point (i,j,k)= ', ji, jj, jk |
---|
| 1598 | WRITE(numout,*) 'ERROR zgr_sco : gdept > hbatt at point (i,j,k)= ', ji, jj, jk |
---|
| 1599 | WRITE(numout,*) 'gdept',fsdept(ji,jj,:) |
---|
| 1600 | CALL ctl_stop( ctmp1 ) |
---|
| 1601 | ENDIF |
---|
| 1602 | END DO |
---|
| 1603 | |
---|
| 1604 | ENDIF |
---|
| 1605 | |
---|
[454] | 1606 | END DO |
---|
| 1607 | END DO |
---|
[1099] | 1608 | ! |
---|
[4245] | 1609 | CALL wrk_dealloc( jpi, jpj, zenv, ztmp, zmsk, zri, zrj, zhbat , ztmpi1, ztmpi2, ztmpj1, ztmpj2 ) |
---|
[4153] | 1610 | ! |
---|
[3294] | 1611 | IF( nn_timing == 1 ) CALL timing_stop('zgr_sco') |
---|
| 1612 | ! |
---|
[454] | 1613 | END SUBROUTINE zgr_sco |
---|
| 1614 | |
---|
[3680] | 1615 | !!====================================================================== |
---|
| 1616 | SUBROUTINE s_sh94() |
---|
| 1617 | |
---|
| 1618 | !!---------------------------------------------------------------------- |
---|
| 1619 | !! *** ROUTINE s_sh94 *** |
---|
| 1620 | !! |
---|
| 1621 | !! ** Purpose : stretch the s-coordinate system |
---|
| 1622 | !! |
---|
| 1623 | !! ** Method : s-coordinate stretch using the Song and Haidvogel 1994 |
---|
| 1624 | !! mixed S/sigma coordinate |
---|
| 1625 | !! |
---|
| 1626 | !! Reference : Song and Haidvogel 1994. |
---|
| 1627 | !!---------------------------------------------------------------------- |
---|
| 1628 | ! |
---|
| 1629 | INTEGER :: ji, jj, jk ! dummy loop argument |
---|
| 1630 | REAL(wp) :: zcoeft, zcoefw ! temporary scalars |
---|
[5044] | 1631 | REAL(wp) :: ztmpu, ztmpv, ztmpf |
---|
| 1632 | REAL(wp) :: ztmpu1, ztmpv1, ztmpf1 |
---|
[3680] | 1633 | ! |
---|
| 1634 | REAL(wp), POINTER, DIMENSION(:,:,:) :: z_gsigw3, z_gsigt3, z_gsi3w3 |
---|
| 1635 | REAL(wp), POINTER, DIMENSION(:,:,:) :: z_esigt3, z_esigw3, z_esigtu3, z_esigtv3, z_esigtf3, z_esigwu3, z_esigwv3 |
---|
| 1636 | |
---|
| 1637 | CALL wrk_alloc( jpi, jpj, jpk, z_gsigw3, z_gsigt3, z_gsi3w3 ) |
---|
| 1638 | CALL wrk_alloc( jpi, jpj, jpk, z_esigt3, z_esigw3, z_esigtu3, z_esigtv3, z_esigtf3, z_esigwu3, z_esigwv3 ) |
---|
| 1639 | |
---|
| 1640 | z_gsigw3 = 0._wp ; z_gsigt3 = 0._wp ; z_gsi3w3 = 0._wp |
---|
| 1641 | z_esigt3 = 0._wp ; z_esigw3 = 0._wp |
---|
| 1642 | z_esigtu3 = 0._wp ; z_esigtv3 = 0._wp ; z_esigtf3 = 0._wp |
---|
| 1643 | z_esigwu3 = 0._wp ; z_esigwv3 = 0._wp |
---|
| 1644 | |
---|
| 1645 | DO ji = 1, jpi |
---|
| 1646 | DO jj = 1, jpj |
---|
| 1647 | |
---|
| 1648 | IF( hbatt(ji,jj) > rn_hc ) THEN !deep water, stretched sigma |
---|
| 1649 | DO jk = 1, jpk |
---|
| 1650 | z_gsigw3(ji,jj,jk) = -fssig1( REAL(jk,wp)-0.5_wp, rn_bb ) |
---|
| 1651 | z_gsigt3(ji,jj,jk) = -fssig1( REAL(jk,wp) , rn_bb ) |
---|
| 1652 | END DO |
---|
| 1653 | ELSE ! shallow water, uniform sigma |
---|
| 1654 | DO jk = 1, jpk |
---|
| 1655 | z_gsigw3(ji,jj,jk) = REAL(jk-1,wp) / REAL(jpk-1,wp) |
---|
| 1656 | z_gsigt3(ji,jj,jk) = ( REAL(jk-1,wp) + 0.5_wp ) / REAL(jpk-1,wp) |
---|
| 1657 | END DO |
---|
| 1658 | ENDIF |
---|
| 1659 | ! |
---|
| 1660 | DO jk = 1, jpkm1 |
---|
| 1661 | z_esigt3(ji,jj,jk ) = z_gsigw3(ji,jj,jk+1) - z_gsigw3(ji,jj,jk) |
---|
| 1662 | z_esigw3(ji,jj,jk+1) = z_gsigt3(ji,jj,jk+1) - z_gsigt3(ji,jj,jk) |
---|
| 1663 | END DO |
---|
| 1664 | z_esigw3(ji,jj,1 ) = 2._wp * ( z_gsigt3(ji,jj,1 ) - z_gsigw3(ji,jj,1 ) ) |
---|
| 1665 | z_esigt3(ji,jj,jpk) = 2._wp * ( z_gsigt3(ji,jj,jpk) - z_gsigw3(ji,jj,jpk) ) |
---|
| 1666 | ! |
---|
| 1667 | ! Coefficients for vertical depth as the sum of e3w scale factors |
---|
| 1668 | z_gsi3w3(ji,jj,1) = 0.5_wp * z_esigw3(ji,jj,1) |
---|
| 1669 | DO jk = 2, jpk |
---|
| 1670 | z_gsi3w3(ji,jj,jk) = z_gsi3w3(ji,jj,jk-1) + z_esigw3(ji,jj,jk) |
---|
| 1671 | END DO |
---|
| 1672 | ! |
---|
| 1673 | DO jk = 1, jpk |
---|
| 1674 | zcoeft = ( REAL(jk,wp) - 0.5_wp ) / REAL(jpkm1,wp) |
---|
| 1675 | zcoefw = ( REAL(jk,wp) - 1.0_wp ) / REAL(jpkm1,wp) |
---|
[4292] | 1676 | gdept_0 (ji,jj,jk) = ( scosrf(ji,jj) + (hbatt(ji,jj)-rn_hc)*z_gsigt3(ji,jj,jk)+rn_hc*zcoeft ) |
---|
| 1677 | gdepw_0 (ji,jj,jk) = ( scosrf(ji,jj) + (hbatt(ji,jj)-rn_hc)*z_gsigw3(ji,jj,jk)+rn_hc*zcoefw ) |
---|
| 1678 | gdep3w_0(ji,jj,jk) = ( scosrf(ji,jj) + (hbatt(ji,jj)-rn_hc)*z_gsi3w3(ji,jj,jk)+rn_hc*zcoeft ) |
---|
[3680] | 1679 | END DO |
---|
| 1680 | ! |
---|
| 1681 | END DO ! for all jj's |
---|
| 1682 | END DO ! for all ji's |
---|
| 1683 | |
---|
| 1684 | DO ji = 1, jpim1 |
---|
| 1685 | DO jj = 1, jpjm1 |
---|
[5014] | 1686 | ! extended for Wetting/Drying case |
---|
| 1687 | ztmpu = hbatt(ji,jj)+hbatt(ji+1,jj) |
---|
| 1688 | ztmpv = hbatt(ji,jj)+hbatt(ji,jj+1) |
---|
| 1689 | ztmpf = hbatt(ji,jj)+hbatt(ji+1,jj)+hbatt(ji,jj+1)+hbatt(ji+1,jj+1) |
---|
[5044] | 1690 | ztmpu1 = hbatt(ji,jj)*hbatt(ji+1,jj) |
---|
| 1691 | ztmpv1 = hbatt(ji,jj)*hbatt(ji,jj+1) |
---|
| 1692 | ztmpf1 = MIN(hbatt(ji,jj), hbatt(ji+1,jj), hbatt(ji,jj+1), hbatt(ji+1,jj+1)) * & |
---|
| 1693 | & MAX(hbatt(ji,jj), hbatt(ji+1,jj), hbatt(ji,jj+1), hbatt(ji+1,jj+1)) |
---|
[3680] | 1694 | DO jk = 1, jpk |
---|
[5044] | 1695 | IF((ztmpu1 < 0._wp.OR.ABS(ztmpu) < rn_wdmin1).AND.ln_wd) THEN |
---|
[5014] | 1696 | z_esigtu3(ji,jj,jk) = 0.5_wp * ( z_esigt3(ji,jj,jk) + z_esigt3(ji+1,jj,jk) ) |
---|
| 1697 | z_esigwu3(ji,jj,jk) = 0.5_wp * ( z_esigw3(ji,jj,jk) + z_esigw3(ji+1,jj,jk) ) |
---|
| 1698 | ELSE |
---|
| 1699 | z_esigtu3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigt3(ji,jj,jk)+hbatt(ji+1,jj)*z_esigt3(ji+1,jj,jk) ) & |
---|
| 1700 | & / ztmpu |
---|
| 1701 | z_esigwu3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigw3(ji,jj,jk)+hbatt(ji+1,jj)*z_esigw3(ji+1,jj,jk) ) & |
---|
| 1702 | & / ztmpu |
---|
| 1703 | END IF |
---|
| 1704 | |
---|
[5044] | 1705 | IF((ztmpv1 < 0._wp.OR.ABS(ztmpv) < rn_wdmin1).AND.ln_wd) THEN |
---|
[5014] | 1706 | z_esigtv3(ji,jj,jk) = 0.5_wp * ( z_esigt3(ji,jj,jk) + z_esigt3(ji,jj+1,jk) ) |
---|
| 1707 | z_esigwv3(ji,jj,jk) = 0.5_wp * ( z_esigw3(ji,jj,jk) + z_esigw3(ji,jj+1,jk) ) |
---|
| 1708 | ELSE |
---|
| 1709 | z_esigtv3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigt3(ji,jj,jk)+hbatt(ji,jj+1)*z_esigt3(ji,jj+1,jk) ) & |
---|
| 1710 | & / ztmpv |
---|
| 1711 | z_esigwv3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigw3(ji,jj,jk)+hbatt(ji,jj+1)*z_esigw3(ji,jj+1,jk) ) & |
---|
| 1712 | & / ztmpv |
---|
| 1713 | END IF |
---|
| 1714 | |
---|
[5044] | 1715 | IF((ztmpf1 < 0._wp.OR.ABS(ztmpf) < rn_wdmin1).AND.ln_wd) THEN |
---|
[5014] | 1716 | z_esigtf3(ji,jj,jk) = 0.25_wp * ( z_esigt3(ji,jj,jk) + z_esigt3(ji+1,jj,jk) & |
---|
| 1717 | & + z_esigt3(ji,jj+1,jk) + z_esigt3(ji+1,jj+1,jk) ) |
---|
| 1718 | ELSE |
---|
| 1719 | z_esigtf3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigt3(ji,jj,jk)+hbatt(ji+1,jj)*z_esigt3(ji+1,jj,jk) & |
---|
| 1720 | & + hbatt(ji,jj+1)*z_esigt3(ji,jj+1,jk)+hbatt(ji+1,jj+1)*z_esigt3(ji+1,jj+1,jk) ) & |
---|
| 1721 | & / ztmpf |
---|
| 1722 | END IF |
---|
| 1723 | |
---|
[3680] | 1724 | ! |
---|
[5014] | 1725 | !z_esigtu3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigt3(ji,jj,jk)+hbatt(ji+1,jj)*z_esigt3(ji+1,jj,jk) ) & |
---|
| 1726 | ! & / ( hbatt(ji,jj)+hbatt(ji+1,jj) ) |
---|
| 1727 | !z_esigtv3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigt3(ji,jj,jk)+hbatt(ji,jj+1)*z_esigt3(ji,jj+1,jk) ) & |
---|
| 1728 | ! & / ( hbatt(ji,jj)+hbatt(ji,jj+1) ) |
---|
| 1729 | !z_esigtf3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigt3(ji,jj,jk)+hbatt(ji+1,jj)*z_esigt3(ji+1,jj,jk) & |
---|
| 1730 | ! & + hbatt(ji,jj+1)*z_esigt3(ji,jj+1,jk)+hbatt(ji+1,jj+1)*z_esigt3(ji+1,jj+1,jk) ) & |
---|
| 1731 | ! & / ( hbatt(ji,jj)+hbatt(ji+1,jj)+hbatt(ji,jj+1)+hbatt(ji+1,jj+1) ) |
---|
| 1732 | !z_esigwu3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigw3(ji,jj,jk)+hbatt(ji+1,jj)*z_esigw3(ji+1,jj,jk) ) & |
---|
| 1733 | ! & / ( hbatt(ji,jj)+hbatt(ji+1,jj) ) |
---|
| 1734 | !z_esigwv3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigw3(ji,jj,jk)+hbatt(ji,jj+1)*z_esigw3(ji,jj+1,jk) ) & |
---|
| 1735 | ! & / ( hbatt(ji,jj)+hbatt(ji,jj+1) ) |
---|
| 1736 | ! |
---|
[4292] | 1737 | e3t_0(ji,jj,jk) = ( (hbatt(ji,jj)-rn_hc)*z_esigt3 (ji,jj,jk) + rn_hc/REAL(jpkm1,wp) ) |
---|
| 1738 | e3u_0(ji,jj,jk) = ( (hbatu(ji,jj)-rn_hc)*z_esigtu3(ji,jj,jk) + rn_hc/REAL(jpkm1,wp) ) |
---|
| 1739 | e3v_0(ji,jj,jk) = ( (hbatv(ji,jj)-rn_hc)*z_esigtv3(ji,jj,jk) + rn_hc/REAL(jpkm1,wp) ) |
---|
| 1740 | e3f_0(ji,jj,jk) = ( (hbatf(ji,jj)-rn_hc)*z_esigtf3(ji,jj,jk) + rn_hc/REAL(jpkm1,wp) ) |
---|
[3680] | 1741 | ! |
---|
[4292] | 1742 | e3w_0 (ji,jj,jk) = ( (hbatt(ji,jj)-rn_hc)*z_esigw3 (ji,jj,jk) + rn_hc/REAL(jpkm1,wp) ) |
---|
| 1743 | e3uw_0(ji,jj,jk) = ( (hbatu(ji,jj)-rn_hc)*z_esigwu3(ji,jj,jk) + rn_hc/REAL(jpkm1,wp) ) |
---|
| 1744 | e3vw_0(ji,jj,jk) = ( (hbatv(ji,jj)-rn_hc)*z_esigwv3(ji,jj,jk) + rn_hc/REAL(jpkm1,wp) ) |
---|
[3680] | 1745 | END DO |
---|
| 1746 | END DO |
---|
| 1747 | END DO |
---|
| 1748 | |
---|
| 1749 | CALL wrk_dealloc( jpi, jpj, jpk, z_gsigw3, z_gsigt3, z_gsi3w3 ) |
---|
| 1750 | CALL wrk_dealloc( jpi, jpj, jpk, z_esigt3, z_esigw3, z_esigtu3, z_esigtv3, z_esigtf3, z_esigwu3, z_esigwv3 ) |
---|
| 1751 | |
---|
| 1752 | END SUBROUTINE s_sh94 |
---|
| 1753 | |
---|
| 1754 | SUBROUTINE s_sf12 |
---|
| 1755 | |
---|
| 1756 | !!---------------------------------------------------------------------- |
---|
| 1757 | !! *** ROUTINE s_sf12 *** |
---|
| 1758 | !! |
---|
| 1759 | !! ** Purpose : stretch the s-coordinate system |
---|
| 1760 | !! |
---|
| 1761 | !! ** Method : s-coordinate stretch using the Siddorn and Furner 2012? |
---|
| 1762 | !! mixed S/sigma/Z coordinate |
---|
| 1763 | !! |
---|
| 1764 | !! This method allows the maintenance of fixed surface and or |
---|
| 1765 | !! bottom cell resolutions (cf. geopotential coordinates) |
---|
| 1766 | !! within an analytically derived stretched S-coordinate framework. |
---|
| 1767 | !! |
---|
| 1768 | !! |
---|
| 1769 | !! Reference : Siddorn and Furner 2012 (submitted Ocean modelling). |
---|
| 1770 | !!---------------------------------------------------------------------- |
---|
| 1771 | ! |
---|
| 1772 | INTEGER :: ji, jj, jk ! dummy loop argument |
---|
| 1773 | REAL(wp) :: zsmth ! smoothing around critical depth |
---|
| 1774 | REAL(wp) :: zzs, zzb ! Surface and bottom cell thickness in sigma space |
---|
[5014] | 1775 | REAL(wp) :: ztmpu, ztmpv, ztmpf |
---|
[5044] | 1776 | REAL(wp) :: ztmpu1, ztmpv1, ztmpf1 |
---|
[3680] | 1777 | ! |
---|
| 1778 | REAL(wp), POINTER, DIMENSION(:,:,:) :: z_gsigw3, z_gsigt3, z_gsi3w3 |
---|
| 1779 | REAL(wp), POINTER, DIMENSION(:,:,:) :: z_esigt3, z_esigw3, z_esigtu3, z_esigtv3, z_esigtf3, z_esigwu3, z_esigwv3 |
---|
| 1780 | |
---|
| 1781 | ! |
---|
| 1782 | CALL wrk_alloc( jpi, jpj, jpk, z_gsigw3, z_gsigt3, z_gsi3w3 ) |
---|
| 1783 | CALL wrk_alloc( jpi, jpj, jpk, z_esigt3, z_esigw3, z_esigtu3, z_esigtv3, z_esigtf3, z_esigwu3, z_esigwv3 ) |
---|
| 1784 | |
---|
| 1785 | z_gsigw3 = 0._wp ; z_gsigt3 = 0._wp ; z_gsi3w3 = 0._wp |
---|
| 1786 | z_esigt3 = 0._wp ; z_esigw3 = 0._wp |
---|
| 1787 | z_esigtu3 = 0._wp ; z_esigtv3 = 0._wp ; z_esigtf3 = 0._wp |
---|
| 1788 | z_esigwu3 = 0._wp ; z_esigwv3 = 0._wp |
---|
| 1789 | |
---|
| 1790 | DO ji = 1, jpi |
---|
| 1791 | DO jj = 1, jpj |
---|
| 1792 | |
---|
| 1793 | IF (hbatt(ji,jj)>rn_hc) THEN !deep water, stretched sigma |
---|
| 1794 | |
---|
| 1795 | zzb = hbatt(ji,jj)*rn_zb_a + rn_zb_b ! this forces a linear bottom cell depth relationship with H,. |
---|
| 1796 | ! could be changed by users but care must be taken to do so carefully |
---|
| 1797 | zzb = 1.0_wp-(zzb/hbatt(ji,jj)) |
---|
| 1798 | |
---|
| 1799 | zzs = rn_zs / hbatt(ji,jj) |
---|
| 1800 | |
---|
| 1801 | IF (rn_efold /= 0.0_wp) THEN |
---|
| 1802 | zsmth = tanh( (hbatt(ji,jj)- rn_hc ) / rn_efold ) |
---|
| 1803 | ELSE |
---|
| 1804 | zsmth = 1.0_wp |
---|
| 1805 | ENDIF |
---|
| 1806 | |
---|
| 1807 | DO jk = 1, jpk |
---|
| 1808 | z_gsigw3(ji,jj,jk) = REAL(jk-1,wp) /REAL(jpk-1,wp) |
---|
| 1809 | z_gsigt3(ji,jj,jk) = (REAL(jk-1,wp)+0.5_wp)/REAL(jpk-1,wp) |
---|
| 1810 | ENDDO |
---|
| 1811 | z_gsigw3(ji,jj,:) = fgamma( z_gsigw3(ji,jj,:), zzb, zzs, zsmth ) |
---|
| 1812 | z_gsigt3(ji,jj,:) = fgamma( z_gsigt3(ji,jj,:), zzb, zzs, zsmth ) |
---|
| 1813 | |
---|
| 1814 | ELSE IF (ln_sigcrit) THEN ! shallow water, uniform sigma |
---|
| 1815 | |
---|
| 1816 | DO jk = 1, jpk |
---|
| 1817 | z_gsigw3(ji,jj,jk) = REAL(jk-1,wp) /REAL(jpk-1,wp) |
---|
| 1818 | z_gsigt3(ji,jj,jk) = (REAL(jk-1,wp)+0.5)/REAL(jpk-1,wp) |
---|
| 1819 | END DO |
---|
| 1820 | |
---|
| 1821 | ELSE ! shallow water, z coordinates |
---|
| 1822 | |
---|
| 1823 | DO jk = 1, jpk |
---|
| 1824 | z_gsigw3(ji,jj,jk) = REAL(jk-1,wp) /REAL(jpk-1,wp)*(rn_hc/hbatt(ji,jj)) |
---|
| 1825 | z_gsigt3(ji,jj,jk) = (REAL(jk-1,wp)+0.5_wp)/REAL(jpk-1,wp)*(rn_hc/hbatt(ji,jj)) |
---|
| 1826 | END DO |
---|
| 1827 | |
---|
| 1828 | ENDIF |
---|
| 1829 | |
---|
| 1830 | DO jk = 1, jpkm1 |
---|
| 1831 | z_esigt3(ji,jj,jk) = z_gsigw3(ji,jj,jk+1) - z_gsigw3(ji,jj,jk) |
---|
| 1832 | z_esigw3(ji,jj,jk+1) = z_gsigt3(ji,jj,jk+1) - z_gsigt3(ji,jj,jk) |
---|
| 1833 | END DO |
---|
| 1834 | z_esigw3(ji,jj,1 ) = 2.0_wp * (z_gsigt3(ji,jj,1 ) - z_gsigw3(ji,jj,1 )) |
---|
| 1835 | z_esigt3(ji,jj,jpk) = 2.0_wp * (z_gsigt3(ji,jj,jpk) - z_gsigw3(ji,jj,jpk)) |
---|
| 1836 | |
---|
| 1837 | ! Coefficients for vertical depth as the sum of e3w scale factors |
---|
| 1838 | z_gsi3w3(ji,jj,1) = 0.5 * z_esigw3(ji,jj,1) |
---|
| 1839 | DO jk = 2, jpk |
---|
| 1840 | z_gsi3w3(ji,jj,jk) = z_gsi3w3(ji,jj,jk-1) + z_esigw3(ji,jj,jk) |
---|
| 1841 | END DO |
---|
| 1842 | |
---|
| 1843 | DO jk = 1, jpk |
---|
[4292] | 1844 | gdept_0 (ji,jj,jk) = (scosrf(ji,jj)+hbatt(ji,jj))*z_gsigt3(ji,jj,jk) |
---|
| 1845 | gdepw_0 (ji,jj,jk) = (scosrf(ji,jj)+hbatt(ji,jj))*z_gsigw3(ji,jj,jk) |
---|
| 1846 | gdep3w_0(ji,jj,jk) = (scosrf(ji,jj)+hbatt(ji,jj))*z_gsi3w3(ji,jj,jk) |
---|
[3680] | 1847 | END DO |
---|
| 1848 | |
---|
| 1849 | ENDDO ! for all jj's |
---|
| 1850 | ENDDO ! for all ji's |
---|
| 1851 | |
---|
[3702] | 1852 | DO ji=1,jpi-1 |
---|
| 1853 | DO jj=1,jpj-1 |
---|
[3680] | 1854 | |
---|
[5014] | 1855 | ! extend to suit for Wetting/Drying case |
---|
| 1856 | ztmpu = hbatt(ji,jj)+hbatt(ji+1,jj) |
---|
| 1857 | ztmpv = hbatt(ji,jj)+hbatt(ji,jj+1) |
---|
| 1858 | ztmpf = hbatt(ji,jj)+hbatt(ji+1,jj)+hbatt(ji,jj+1)+hbatt(ji+1,jj+1) |
---|
[5044] | 1859 | ztmpu1 = hbatt(ji,jj)*hbatt(ji+1,jj) |
---|
| 1860 | ztmpv1 = hbatt(ji,jj)*hbatt(ji,jj+1) |
---|
| 1861 | ztmpf1 = MIN(hbatt(ji,jj), hbatt(ji+1,jj), hbatt(ji,jj+1), hbatt(ji+1,jj+1)) * & |
---|
| 1862 | & MAX(hbatt(ji,jj), hbatt(ji+1,jj), hbatt(ji,jj+1), hbatt(ji+1,jj+1)) |
---|
[5014] | 1863 | DO jk = 1, jpk |
---|
[5044] | 1864 | IF((ztmpu1 < 0._wp.OR.ABS(ztmpu) < rn_wdmin1).AND.ln_wd) THEN |
---|
[5014] | 1865 | z_esigtu3(ji,jj,jk) = 0.5_wp * ( z_esigt3(ji,jj,jk) + z_esigt3(ji+1,jj,jk) ) |
---|
| 1866 | z_esigwu3(ji,jj,jk) = 0.5_wp * ( z_esigw3(ji,jj,jk) + z_esigw3(ji+1,jj,jk) ) |
---|
| 1867 | ELSE |
---|
| 1868 | z_esigtu3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigt3(ji,jj,jk)+hbatt(ji+1,jj)*z_esigt3(ji+1,jj,jk) ) & |
---|
| 1869 | & / ztmpu |
---|
| 1870 | z_esigwu3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigw3(ji,jj,jk)+hbatt(ji+1,jj)*z_esigw3(ji+1,jj,jk) ) & |
---|
| 1871 | & / ztmpu |
---|
| 1872 | END IF |
---|
[3680] | 1873 | |
---|
[5044] | 1874 | IF((ztmpv1 < 0._wp.OR.ABS(ztmpv) < rn_wdmin1).AND.ln_wd) THEN |
---|
[5014] | 1875 | z_esigtv3(ji,jj,jk) = 0.5_wp * ( z_esigt3(ji,jj,jk) + z_esigt3(ji,jj+1,jk) ) |
---|
| 1876 | z_esigwv3(ji,jj,jk) = 0.5_wp * ( z_esigw3(ji,jj,jk) + z_esigw3(ji,jj+1,jk) ) |
---|
| 1877 | ELSE |
---|
| 1878 | z_esigtv3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigt3(ji,jj,jk)+hbatt(ji,jj+1)*z_esigt3(ji,jj+1,jk) ) & |
---|
| 1879 | & / ztmpv |
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| 1880 | z_esigwv3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigw3(ji,jj,jk)+hbatt(ji,jj+1)*z_esigw3(ji,jj+1,jk) ) & |
---|
| 1881 | & / ztmpv |
---|
| 1882 | END IF |
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| 1883 | |
---|
[5044] | 1884 | IF((ztmpf1 < 0._wp.OR.ABS(ztmpf) < rn_wdmin1).AND.ln_wd) THEN |
---|
[5014] | 1885 | z_esigtf3(ji,jj,jk) = 0.25_wp * ( z_esigt3(ji,jj,jk) + z_esigt3(ji+1,jj,jk) & |
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| 1886 | & + z_esigt3(ji,jj+1,jk) + z_esigt3(ji+1,jj+1,jk) ) |
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| 1887 | ELSE |
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| 1888 | z_esigtf3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigt3(ji,jj,jk)+hbatt(ji+1,jj)*z_esigt3(ji+1,jj,jk) & |
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| 1889 | & + hbatt(ji,jj+1)*z_esigt3(ji,jj+1,jk)+hbatt(ji+1,jj+1)*z_esigt3(ji+1,jj+1,jk) ) & |
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| 1890 | & / ztmpf |
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| 1891 | END IF |
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| 1892 | |
---|
| 1893 | !z_esigtu3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigt3(ji,jj,jk)+hbatt(ji+1,jj)*z_esigt3(ji+1,jj,jk) ) / & |
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| 1894 | ! ( hbatt(ji,jj)+hbatt(ji+1,jj) ) |
---|
| 1895 | !z_esigtv3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigt3(ji,jj,jk)+hbatt(ji,jj+1)*z_esigt3(ji,jj+1,jk) ) / & |
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| 1896 | ! ( hbatt(ji,jj)+hbatt(ji,jj+1) ) |
---|
| 1897 | !z_esigtf3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigt3(ji,jj,jk)+hbatt(ji+1,jj)*z_esigt3(ji+1,jj,jk) + & |
---|
| 1898 | ! hbatt(ji,jj+1)*z_esigt3(ji,jj+1,jk)+hbatt(ji+1,jj+1)*z_esigt3(ji+1,jj+1,jk) ) / & |
---|
| 1899 | ! ( hbatt(ji,jj)+hbatt(ji+1,jj)+hbatt(ji,jj+1)+hbatt(ji+1,jj+1) ) |
---|
| 1900 | !z_esigwu3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigw3(ji,jj,jk)+hbatt(ji+1,jj)*z_esigw3(ji+1,jj,jk) ) / & |
---|
| 1901 | ! ( hbatt(ji,jj)+hbatt(ji+1,jj) ) |
---|
| 1902 | !z_esigwv3(ji,jj,jk) = ( hbatt(ji,jj)*z_esigw3(ji,jj,jk)+hbatt(ji,jj+1)*z_esigw3(ji,jj+1,jk) ) / & |
---|
| 1903 | ! ( hbatt(ji,jj)+hbatt(ji,jj+1) ) |
---|
| 1904 | |
---|
[4292] | 1905 | e3t_0(ji,jj,jk)=(scosrf(ji,jj)+hbatt(ji,jj))*z_esigt3(ji,jj,jk) |
---|
| 1906 | e3u_0(ji,jj,jk)=(scosrf(ji,jj)+hbatu(ji,jj))*z_esigtu3(ji,jj,jk) |
---|
| 1907 | e3v_0(ji,jj,jk)=(scosrf(ji,jj)+hbatv(ji,jj))*z_esigtv3(ji,jj,jk) |
---|
| 1908 | e3f_0(ji,jj,jk)=(scosrf(ji,jj)+hbatf(ji,jj))*z_esigtf3(ji,jj,jk) |
---|
[3680] | 1909 | ! |
---|
[4292] | 1910 | e3w_0(ji,jj,jk)=hbatt(ji,jj)*z_esigw3(ji,jj,jk) |
---|
| 1911 | e3uw_0(ji,jj,jk)=hbatu(ji,jj)*z_esigwu3(ji,jj,jk) |
---|
| 1912 | e3vw_0(ji,jj,jk)=hbatv(ji,jj)*z_esigwv3(ji,jj,jk) |
---|
[3680] | 1913 | END DO |
---|
| 1914 | |
---|
| 1915 | ENDDO |
---|
| 1916 | ENDDO |
---|
[3702] | 1917 | ! |
---|
[4292] | 1918 | CALL lbc_lnk(e3t_0 ,'T',1.) ; CALL lbc_lnk(e3u_0 ,'T',1.) |
---|
| 1919 | CALL lbc_lnk(e3v_0 ,'T',1.) ; CALL lbc_lnk(e3f_0 ,'T',1.) |
---|
| 1920 | CALL lbc_lnk(e3w_0 ,'T',1.) |
---|
| 1921 | CALL lbc_lnk(e3uw_0,'T',1.) ; CALL lbc_lnk(e3vw_0,'T',1.) |
---|
| 1922 | ! |
---|
[3680] | 1923 | ! ! ============= |
---|
| 1924 | |
---|
| 1925 | CALL wrk_dealloc( jpi, jpj, jpk, z_gsigw3, z_gsigt3, z_gsi3w3 ) |
---|
| 1926 | CALL wrk_dealloc( jpi, jpj, jpk, z_esigt3, z_esigw3, z_esigtu3, z_esigtv3, z_esigtf3, z_esigwu3, z_esigwv3 ) |
---|
| 1927 | |
---|
| 1928 | END SUBROUTINE s_sf12 |
---|
| 1929 | |
---|
| 1930 | SUBROUTINE s_tanh() |
---|
| 1931 | |
---|
| 1932 | !!---------------------------------------------------------------------- |
---|
| 1933 | !! *** ROUTINE s_tanh*** |
---|
| 1934 | !! |
---|
| 1935 | !! ** Purpose : stretch the s-coordinate system |
---|
| 1936 | !! |
---|
| 1937 | !! ** Method : s-coordinate stretch |
---|
| 1938 | !! |
---|
| 1939 | !! Reference : Madec, Lott, Delecluse and Crepon, 1996. JPO, 26, 1393-1408. |
---|
| 1940 | !!---------------------------------------------------------------------- |
---|
| 1941 | |
---|
| 1942 | INTEGER :: ji, jj, jk ! dummy loop argument |
---|
| 1943 | REAL(wp) :: zcoeft, zcoefw ! temporary scalars |
---|
| 1944 | |
---|
| 1945 | REAL(wp), POINTER, DIMENSION(:) :: z_gsigw, z_gsigt, z_gsi3w |
---|
| 1946 | REAL(wp), POINTER, DIMENSION(:) :: z_esigt, z_esigw |
---|
| 1947 | |
---|
| 1948 | CALL wrk_alloc( jpk, z_gsigw, z_gsigt, z_gsi3w ) |
---|
| 1949 | CALL wrk_alloc( jpk, z_esigt, z_esigw ) |
---|
| 1950 | |
---|
| 1951 | z_gsigw = 0._wp ; z_gsigt = 0._wp ; z_gsi3w = 0._wp |
---|
| 1952 | z_esigt = 0._wp ; z_esigw = 0._wp |
---|
| 1953 | |
---|
| 1954 | DO jk = 1, jpk |
---|
| 1955 | z_gsigw(jk) = -fssig( REAL(jk,wp)-0.5_wp ) |
---|
| 1956 | z_gsigt(jk) = -fssig( REAL(jk,wp) ) |
---|
| 1957 | END DO |
---|
| 1958 | IF( nprint == 1 .AND. lwp ) WRITE(numout,*) 'z_gsigw 1 jpk ', z_gsigw(1), z_gsigw(jpk) |
---|
| 1959 | ! |
---|
| 1960 | ! Coefficients for vertical scale factors at w-, t- levels |
---|
| 1961 | !!gm bug : define it from analytical function, not like juste bellow.... |
---|
| 1962 | !!gm or betteroffer the 2 possibilities.... |
---|
| 1963 | DO jk = 1, jpkm1 |
---|
| 1964 | z_esigt(jk ) = z_gsigw(jk+1) - z_gsigw(jk) |
---|
| 1965 | z_esigw(jk+1) = z_gsigt(jk+1) - z_gsigt(jk) |
---|
| 1966 | END DO |
---|
| 1967 | z_esigw( 1 ) = 2._wp * ( z_gsigt(1 ) - z_gsigw(1 ) ) |
---|
| 1968 | z_esigt(jpk) = 2._wp * ( z_gsigt(jpk) - z_gsigw(jpk) ) |
---|
| 1969 | ! |
---|
| 1970 | ! Coefficients for vertical depth as the sum of e3w scale factors |
---|
| 1971 | z_gsi3w(1) = 0.5_wp * z_esigw(1) |
---|
| 1972 | DO jk = 2, jpk |
---|
| 1973 | z_gsi3w(jk) = z_gsi3w(jk-1) + z_esigw(jk) |
---|
| 1974 | END DO |
---|
| 1975 | !!gm: depuw, depvw can be suppressed (modif in ldfslp) and depw=dep3w can be set (save 3 3D arrays) |
---|
| 1976 | DO jk = 1, jpk |
---|
| 1977 | zcoeft = ( REAL(jk,wp) - 0.5_wp ) / REAL(jpkm1,wp) |
---|
| 1978 | zcoefw = ( REAL(jk,wp) - 1.0_wp ) / REAL(jpkm1,wp) |
---|
[4292] | 1979 | gdept_0 (:,:,jk) = ( scosrf(:,:) + (hbatt(:,:)-hift(:,:))*z_gsigt(jk) + hift(:,:)*zcoeft ) |
---|
| 1980 | gdepw_0 (:,:,jk) = ( scosrf(:,:) + (hbatt(:,:)-hift(:,:))*z_gsigw(jk) + hift(:,:)*zcoefw ) |
---|
| 1981 | gdep3w_0(:,:,jk) = ( scosrf(:,:) + (hbatt(:,:)-hift(:,:))*z_gsi3w(jk) + hift(:,:)*zcoeft ) |
---|
[3680] | 1982 | END DO |
---|
| 1983 | !!gm: e3uw, e3vw can be suppressed (modif in dynzdf, dynzdf_iso, zdfbfr) (save 2 3D arrays) |
---|
| 1984 | DO jj = 1, jpj |
---|
| 1985 | DO ji = 1, jpi |
---|
| 1986 | DO jk = 1, jpk |
---|
[4292] | 1987 | e3t_0(ji,jj,jk) = ( (hbatt(ji,jj)-hift(ji,jj))*z_esigt(jk) + hift(ji,jj)/REAL(jpkm1,wp) ) |
---|
| 1988 | e3u_0(ji,jj,jk) = ( (hbatu(ji,jj)-hifu(ji,jj))*z_esigt(jk) + hifu(ji,jj)/REAL(jpkm1,wp) ) |
---|
| 1989 | e3v_0(ji,jj,jk) = ( (hbatv(ji,jj)-hifv(ji,jj))*z_esigt(jk) + hifv(ji,jj)/REAL(jpkm1,wp) ) |
---|
| 1990 | e3f_0(ji,jj,jk) = ( (hbatf(ji,jj)-hiff(ji,jj))*z_esigt(jk) + hiff(ji,jj)/REAL(jpkm1,wp) ) |
---|
[3680] | 1991 | ! |
---|
[4292] | 1992 | e3w_0 (ji,jj,jk) = ( (hbatt(ji,jj)-hift(ji,jj))*z_esigw(jk) + hift(ji,jj)/REAL(jpkm1,wp) ) |
---|
| 1993 | e3uw_0(ji,jj,jk) = ( (hbatu(ji,jj)-hifu(ji,jj))*z_esigw(jk) + hifu(ji,jj)/REAL(jpkm1,wp) ) |
---|
| 1994 | e3vw_0(ji,jj,jk) = ( (hbatv(ji,jj)-hifv(ji,jj))*z_esigw(jk) + hifv(ji,jj)/REAL(jpkm1,wp) ) |
---|
[3680] | 1995 | END DO |
---|
| 1996 | END DO |
---|
| 1997 | END DO |
---|
| 1998 | |
---|
| 1999 | CALL wrk_dealloc( jpk, z_gsigw, z_gsigt, z_gsi3w ) |
---|
| 2000 | CALL wrk_dealloc( jpk, z_esigt, z_esigw ) |
---|
| 2001 | |
---|
| 2002 | END SUBROUTINE s_tanh |
---|
| 2003 | |
---|
| 2004 | FUNCTION fssig( pk ) RESULT( pf ) |
---|
| 2005 | !!---------------------------------------------------------------------- |
---|
| 2006 | !! *** ROUTINE fssig *** |
---|
| 2007 | !! |
---|
| 2008 | !! ** Purpose : provide the analytical function in s-coordinate |
---|
| 2009 | !! |
---|
| 2010 | !! ** Method : the function provide the non-dimensional position of |
---|
| 2011 | !! T and W (i.e. between 0 and 1) |
---|
| 2012 | !! T-points at integer values (between 1 and jpk) |
---|
| 2013 | !! W-points at integer values - 1/2 (between 0.5 and jpk-0.5) |
---|
| 2014 | !!---------------------------------------------------------------------- |
---|
| 2015 | REAL(wp), INTENT(in) :: pk ! continuous "k" coordinate |
---|
| 2016 | REAL(wp) :: pf ! sigma value |
---|
| 2017 | !!---------------------------------------------------------------------- |
---|
| 2018 | ! |
---|
[4292] | 2019 | pf = ( TANH( rn_theta * ( -(pk-0.5_wp) / REAL(jpkm1) + rn_thetb ) ) & |
---|
[3680] | 2020 | & - TANH( rn_thetb * rn_theta ) ) & |
---|
| 2021 | & * ( COSH( rn_theta ) & |
---|
| 2022 | & + COSH( rn_theta * ( 2._wp * rn_thetb - 1._wp ) ) ) & |
---|
| 2023 | & / ( 2._wp * SINH( rn_theta ) ) |
---|
| 2024 | ! |
---|
| 2025 | END FUNCTION fssig |
---|
| 2026 | |
---|
| 2027 | |
---|
| 2028 | FUNCTION fssig1( pk1, pbb ) RESULT( pf1 ) |
---|
| 2029 | !!---------------------------------------------------------------------- |
---|
| 2030 | !! *** ROUTINE fssig1 *** |
---|
| 2031 | !! |
---|
| 2032 | !! ** Purpose : provide the Song and Haidvogel version of the analytical function in s-coordinate |
---|
| 2033 | !! |
---|
| 2034 | !! ** Method : the function provides the non-dimensional position of |
---|
| 2035 | !! T and W (i.e. between 0 and 1) |
---|
| 2036 | !! T-points at integer values (between 1 and jpk) |
---|
| 2037 | !! W-points at integer values - 1/2 (between 0.5 and jpk-0.5) |
---|
| 2038 | !!---------------------------------------------------------------------- |
---|
| 2039 | REAL(wp), INTENT(in) :: pk1 ! continuous "k" coordinate |
---|
| 2040 | REAL(wp), INTENT(in) :: pbb ! Stretching coefficient |
---|
| 2041 | REAL(wp) :: pf1 ! sigma value |
---|
| 2042 | !!---------------------------------------------------------------------- |
---|
| 2043 | ! |
---|
| 2044 | IF ( rn_theta == 0 ) then ! uniform sigma |
---|
[4292] | 2045 | pf1 = - ( pk1 - 0.5_wp ) / REAL( jpkm1 ) |
---|
[3680] | 2046 | ELSE ! stretched sigma |
---|
[4292] | 2047 | pf1 = ( 1._wp - pbb ) * ( SINH( rn_theta*(-(pk1-0.5_wp)/REAL(jpkm1)) ) ) / SINH( rn_theta ) & |
---|
| 2048 | & + pbb * ( (TANH( rn_theta*( (-(pk1-0.5_wp)/REAL(jpkm1)) + 0.5_wp) ) - TANH( 0.5_wp * rn_theta ) ) & |
---|
[3680] | 2049 | & / ( 2._wp * TANH( 0.5_wp * rn_theta ) ) ) |
---|
| 2050 | ENDIF |
---|
| 2051 | ! |
---|
| 2052 | END FUNCTION fssig1 |
---|
| 2053 | |
---|
| 2054 | |
---|
| 2055 | FUNCTION fgamma( pk1, pzb, pzs, psmth) RESULT( p_gamma ) |
---|
| 2056 | !!---------------------------------------------------------------------- |
---|
| 2057 | !! *** ROUTINE fgamma *** |
---|
| 2058 | !! |
---|
| 2059 | !! ** Purpose : provide analytical function for the s-coordinate |
---|
| 2060 | !! |
---|
| 2061 | !! ** Method : the function provides the non-dimensional position of |
---|
| 2062 | !! T and W (i.e. between 0 and 1) |
---|
| 2063 | !! T-points at integer values (between 1 and jpk) |
---|
| 2064 | !! W-points at integer values - 1/2 (between 0.5 and jpk-0.5) |
---|
| 2065 | !! |
---|
| 2066 | !! This method allows the maintenance of fixed surface and or |
---|
| 2067 | !! bottom cell resolutions (cf. geopotential coordinates) |
---|
| 2068 | !! within an analytically derived stretched S-coordinate framework. |
---|
| 2069 | !! |
---|
| 2070 | !! Reference : Siddorn and Furner, in prep |
---|
| 2071 | !!---------------------------------------------------------------------- |
---|
| 2072 | REAL(wp), INTENT(in ) :: pk1(jpk) ! continuous "k" coordinate |
---|
| 2073 | REAL(wp) :: p_gamma(jpk) ! stretched coordinate |
---|
| 2074 | REAL(wp), INTENT(in ) :: pzb ! Bottom box depth |
---|
| 2075 | REAL(wp), INTENT(in ) :: pzs ! surface box depth |
---|
| 2076 | REAL(wp), INTENT(in ) :: psmth ! Smoothing parameter |
---|
| 2077 | REAL(wp) :: za1,za2,za3 ! local variables |
---|
| 2078 | REAL(wp) :: zn1,zn2 ! local variables |
---|
| 2079 | REAL(wp) :: za,zb,zx ! local variables |
---|
| 2080 | integer :: jk |
---|
| 2081 | !!---------------------------------------------------------------------- |
---|
| 2082 | ! |
---|
| 2083 | |
---|
| 2084 | zn1 = 1./(jpk-1.) |
---|
| 2085 | zn2 = 1. - zn1 |
---|
| 2086 | |
---|
| 2087 | za1 = (rn_alpha+2.0_wp)*zn1**(rn_alpha+1.0_wp)-(rn_alpha+1.0_wp)*zn1**(rn_alpha+2.0_wp) |
---|
| 2088 | za2 = (rn_alpha+2.0_wp)*zn2**(rn_alpha+1.0_wp)-(rn_alpha+1.0_wp)*zn2**(rn_alpha+2.0_wp) |
---|
| 2089 | za3 = (zn2**3.0_wp - za2)/( zn1**3.0_wp - za1) |
---|
| 2090 | |
---|
| 2091 | za = pzb - za3*(pzs-za1)-za2 |
---|
| 2092 | za = za/( zn2-0.5_wp*(za2+zn2**2.0_wp) - za3*(zn1-0.5_wp*(za1+zn1**2.0_wp) ) ) |
---|
| 2093 | zb = (pzs - za1 - za*( zn1-0.5_wp*(za1+zn1**2.0_wp ) ) ) / (zn1**3.0_wp - za1) |
---|
| 2094 | zx = 1.0_wp-za/2.0_wp-zb |
---|
| 2095 | |
---|
| 2096 | DO jk = 1, jpk |
---|
[3684] | 2097 | p_gamma(jk) = za*(pk1(jk)*(1.0_wp-pk1(jk)/2.0_wp))+zb*pk1(jk)**3.0_wp + & |
---|
| 2098 | & zx*( (rn_alpha+2.0_wp)*pk1(jk)**(rn_alpha+1.0_wp)- & |
---|
| 2099 | & (rn_alpha+1.0_wp)*pk1(jk)**(rn_alpha+2.0_wp) ) |
---|
[3680] | 2100 | p_gamma(jk) = p_gamma(jk)*psmth+pk1(jk)*(1.0_wp-psmth) |
---|
| 2101 | ENDDO |
---|
| 2102 | |
---|
| 2103 | ! |
---|
| 2104 | END FUNCTION fgamma |
---|
| 2105 | |
---|
[3] | 2106 | !!====================================================================== |
---|
| 2107 | END MODULE domzgr |
---|