[3] | 1 | MODULE zpshde |
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[2528] | 2 | !!====================================================================== |
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[3] | 3 | !! *** MODULE zpshde *** |
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[2528] | 4 | !! z-coordinate + partial step : Horizontal Derivative at ocean bottom level |
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| 5 | !!====================================================================== |
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| 6 | !! History : OPA ! 2002-04 (A. Bozec) Original code |
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| 7 | !! NEMO 1.0 ! 2002-08 (G. Madec E. Durand) Optimization and Free form |
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| 8 | !! - ! 2004-03 (C. Ethe) adapted for passive tracers |
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| 9 | !! 3.3 ! 2010-05 (C. Ethe, G. Madec) merge TRC-TRA |
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| 10 | !!====================================================================== |
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[457] | 11 | |
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[3] | 12 | !!---------------------------------------------------------------------- |
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| 13 | !! zps_hde : Horizontal DErivative of T, S and rd at the last |
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| 14 | !! ocean level (Z-coord. with Partial Steps) |
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| 15 | !!---------------------------------------------------------------------- |
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[2528] | 16 | USE oce ! ocean: dynamics and tracers variables |
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| 17 | USE dom_oce ! domain: ocean variables |
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[3] | 18 | USE phycst ! physical constants |
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[2528] | 19 | USE eosbn2 ! ocean equation of state |
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[3] | 20 | USE in_out_manager ! I/O manager |
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| 21 | USE lbclnk ! lateral boundary conditions (or mpp link) |
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[2715] | 22 | USE lib_mpp ! MPP library |
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[3294] | 23 | USE wrk_nemo ! Memory allocation |
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| 24 | USE timing ! Timing |
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[3] | 25 | |
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| 26 | IMPLICIT NONE |
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| 27 | PRIVATE |
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| 28 | |
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[2528] | 29 | PUBLIC zps_hde ! routine called by step.F90 |
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[3] | 30 | |
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| 31 | !! * Substitutions |
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| 32 | # include "domzgr_substitute.h90" |
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| 33 | # include "vectopt_loop_substitute.h90" |
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| 34 | !!---------------------------------------------------------------------- |
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[2528] | 35 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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| 36 | !! $Id$ |
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| 37 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[247] | 38 | !!---------------------------------------------------------------------- |
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[3] | 39 | CONTAINS |
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| 40 | |
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[2528] | 41 | SUBROUTINE zps_hde( kt, kjpt, pta, pgtu, pgtv, & |
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[4666] | 42 | & prd, pgru, pgrv, pmru, pmrv, pgzu, pgzv, pge3ru, pge3rv, & |
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| 43 | & sgtu, sgtv, sgru, sgrv, smru, smrv, sgzu, sgzv, sge3ru, sge3rv ) |
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[3] | 44 | !!---------------------------------------------------------------------- |
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| 45 | !! *** ROUTINE zps_hde *** |
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| 46 | !! |
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[2528] | 47 | !! ** Purpose : Compute the horizontal derivative of T, S and rho |
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[3] | 48 | !! at u- and v-points with a linear interpolation for z-coordinate |
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| 49 | !! with partial steps. |
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| 50 | !! |
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| 51 | !! ** Method : In z-coord with partial steps, scale factors on last |
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| 52 | !! levels are different for each grid point, so that T, S and rd |
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| 53 | !! points are not at the same depth as in z-coord. To have horizontal |
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| 54 | !! gradients again, we interpolate T and S at the good depth : |
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| 55 | !! Linear interpolation of T, S |
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| 56 | !! Computation of di(tb) and dj(tb) by vertical interpolation: |
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| 57 | !! di(t) = t~ - t(i,j,k) or t(i+1,j,k) - t~ |
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| 58 | !! dj(t) = t~ - t(i,j,k) or t(i,j+1,k) - t~ |
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| 59 | !! This formulation computes the two cases: |
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| 60 | !! CASE 1 CASE 2 |
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| 61 | !! k-1 ___ ___________ k-1 ___ ___________ |
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| 62 | !! Ti T~ T~ Ti+1 |
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| 63 | !! _____ _____ |
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| 64 | !! k | |Ti+1 k Ti | | |
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| 65 | !! | |____ ____| | |
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| 66 | !! ___ | | | ___ | | | |
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| 67 | !! |
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| 68 | !! case 1-> e3w(i+1) >= e3w(i) ( and e3w(j+1) >= e3w(j) ) then |
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| 69 | !! t~ = t(i+1,j ,k) + (e3w(i+1) - e3w(i)) * dk(Ti+1)/e3w(i+1) |
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| 70 | !! ( t~ = t(i ,j+1,k) + (e3w(j+1) - e3w(j)) * dk(Tj+1)/e3w(j+1) ) |
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| 71 | !! or |
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| 72 | !! case 2-> e3w(i+1) <= e3w(i) ( and e3w(j+1) <= e3w(j) ) then |
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| 73 | !! t~ = t(i,j,k) + (e3w(i) - e3w(i+1)) * dk(Ti)/e3w(i ) |
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| 74 | !! ( t~ = t(i,j,k) + (e3w(j) - e3w(j+1)) * dk(Tj)/e3w(j ) ) |
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| 75 | !! Idem for di(s) and dj(s) |
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| 76 | !! |
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[87] | 77 | !! For rho, we call eos_insitu_2d which will compute rd~(t~,s~) at |
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[3] | 78 | !! the good depth zh from interpolated T and S for the different |
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| 79 | !! formulation of the equation of state (eos). |
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| 80 | !! Gradient formulation for rho : |
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[2528] | 81 | !! di(rho) = rd~ - rd(i,j,k) or rd(i+1,j,k) - rd~ |
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[3] | 82 | !! |
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[4724] | 83 | !! ** Action : compute for top and bottom interfaces |
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| 84 | !! - pgtu, pgtv, sgtu, sgtv: horizontal gradient of tracer at u- & v-points |
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| 85 | !! - pgru, pgrv, sgru, sgtv: horizontal gradient of rho (if present) at u- & v-points |
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| 86 | !! - pmru, pmrv, smru, smrv: horizontal sum of rho at u- & v- point (used in dynhpg with vvl) |
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| 87 | !! - pgzu, pgzv, sgzu, sgzv: horizontal gradient of z at u- and v- point (used in dynhpg with vvl) |
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| 88 | !! - pge3ru, pge3rv, sge3ru, sge3rv: horizontal gradient of rho weighted by local e3w at u- & v-points |
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[2528] | 89 | !!---------------------------------------------------------------------- |
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[2715] | 90 | ! |
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[2528] | 91 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 92 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 93 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: pta ! 4D tracers fields |
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| 94 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT( out) :: pgtu, pgtv ! hor. grad. of ptra at u- & v-pts |
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[4666] | 95 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT( out) :: sgtu, sgtv ! hor. grad. of stra at u- & v-pts (ISF) |
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[2528] | 96 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ), OPTIONAL :: prd ! 3D density anomaly fields |
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[4666] | 97 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: pgru, pgrv ! hor. grad of prd at u- & v-pts (bottom) |
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| 98 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: pmru, pmrv ! hor. sum of prd at u- & v-pts (bottom) |
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| 99 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: pgzu, pgzv ! hor. grad of z at u- & v-pts (bottom) |
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| 100 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: pge3ru, pge3rv ! hor. grad of prd weighted by local e3w at u- & v-pts (bottom) |
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| 101 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: sgru, sgrv ! hor. grad of prd at u- & v-pts (top) |
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| 102 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: smru, smrv ! hor. sum of prd at u- & v-pts (top) |
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| 103 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: sgzu, sgzv ! hor. grad of z at u- & v-pts (top) |
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| 104 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: sge3ru, sge3rv ! hor. grad of prd weighted by local e3w at u- & v-pts (top) |
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[2715] | 105 | ! |
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[2528] | 106 | INTEGER :: ji, jj, jn ! Dummy loop indices |
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[4666] | 107 | INTEGER :: iku, ikv, ikum1, ikvm1,ikup1, ikvp1 ! partial step level (ocean bottom level) at u- and v-points |
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| 108 | REAL(wp) :: ze3wu, ze3wv, zmaxu, zmaxv, zdzwu, zdzwv, zdzwuip1, zdzwvjp1 ! temporary scalars |
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[3294] | 109 | REAL(wp), POINTER, DIMENSION(:,: ) :: zri, zrj, zhi, zhj |
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| 110 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zti, ztj ! interpolated value of tracer |
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[3] | 111 | !!---------------------------------------------------------------------- |
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[3294] | 112 | ! |
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| 113 | IF( nn_timing == 1 ) CALL timing_start( 'zps_hde') |
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| 114 | ! |
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| 115 | CALL wrk_alloc( jpi, jpj, zri, zrj, zhi, zhj ) |
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| 116 | CALL wrk_alloc( jpi, jpj, kjpt, zti, ztj ) |
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| 117 | ! |
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[4666] | 118 | pgru(:,:)=0.0_wp ; pgrv(:,:)=0.0_wp ; pgtu(:,:,:)=0.0_wp ; pgtv(:,:,:)=0.0_wp ; |
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| 119 | ! |
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[2528] | 120 | DO jn = 1, kjpt !== Interpolation of tracers at the last ocean level ==! |
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| 121 | ! |
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| 122 | # if defined key_vectopt_loop |
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| 123 | jj = 1 |
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| 124 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolled) |
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| 125 | # else |
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[3] | 126 | DO jj = 1, jpjm1 |
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[2528] | 127 | DO ji = 1, jpim1 |
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| 128 | # endif |
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[2569] | 129 | iku = mbku(ji,jj) ; ikum1 = MAX( iku - 1 , 1 ) ! last and before last ocean level at u- & v-points |
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| 130 | ikv = mbkv(ji,jj) ; ikvm1 = MAX( ikv - 1 , 1 ) ! if level first is a p-step, ik.m1=1 |
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[4666] | 131 | ! (ISF) case partial step top and bottom in adjacent cell in vertical |
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| 132 | ze3wu = (fsdept(ji+1,jj,iku) - fsdepw(ji+1,jj,iku)) - (fsdept(ji,jj,iku) - fsdepw(ji,jj,iku)) |
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| 133 | ze3wv = (fsdept(ji,jj+1,ikv) - fsdepw(ji,jj+1,ikv)) - (fsdept(ji,jj,ikv) - fsdepw(ji,jj,ikv)) |
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[2528] | 134 | ! |
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| 135 | ! i- direction |
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[4666] | 136 | IF (iku .GT. 1) THEN |
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[2528] | 137 | IF( ze3wu >= 0._wp ) THEN ! case 1 |
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| 138 | zmaxu = ze3wu / fse3w(ji+1,jj,iku) |
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| 139 | ! interpolated values of tracers |
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| 140 | zti(ji,jj,jn) = pta(ji+1,jj,iku,jn) + zmaxu * ( pta(ji+1,jj,ikum1,jn) - pta(ji+1,jj,iku,jn) ) |
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| 141 | ! gradient of tracers |
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[4666] | 142 | pgtu(ji,jj,jn) = umask(ji,jj,iku) * ( zti(ji,jj,jn) - pta(ji,jj,iku,jn) ) |
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| 143 | pgzu(ji,jj) = (fsde3w(ji+1,jj,iku) - ze3wu) - fsde3w(ji,jj,iku) |
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[2528] | 144 | ELSE ! case 2 |
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| 145 | zmaxu = -ze3wu / fse3w(ji,jj,iku) |
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| 146 | ! interpolated values of tracers |
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| 147 | zti(ji,jj,jn) = pta(ji,jj,iku,jn) + zmaxu * ( pta(ji,jj,ikum1,jn) - pta(ji,jj,iku,jn) ) |
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| 148 | ! gradient of tracers |
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[4666] | 149 | pgtu(ji,jj,jn) = umask(ji,jj,iku) * ( pta(ji+1,jj,iku,jn) - zti(ji,jj,jn) ) |
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| 150 | pgzu(ji,jj) = fsde3w(ji+1,jj,iku) - (fsde3w(ji,jj,iku) + ze3wu) |
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[2528] | 151 | ENDIF |
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[4666] | 152 | ENDIF |
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[2528] | 153 | ! |
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| 154 | ! j- direction |
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[4666] | 155 | IF (ikv .GT. 1) THEN |
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[2528] | 156 | IF( ze3wv >= 0._wp ) THEN ! case 1 |
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| 157 | zmaxv = ze3wv / fse3w(ji,jj+1,ikv) |
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| 158 | ! interpolated values of tracers |
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| 159 | ztj(ji,jj,jn) = pta(ji,jj+1,ikv,jn) + zmaxv * ( pta(ji,jj+1,ikvm1,jn) - pta(ji,jj+1,ikv,jn) ) |
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| 160 | ! gradient of tracers |
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[4666] | 161 | pgtv(ji,jj,jn) = vmask(ji,jj,ikv) * ( ztj(ji,jj,jn) - pta(ji,jj,ikv,jn) ) |
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| 162 | pgzv(ji,jj) = (fsde3w(ji,jj+1,ikv) - ze3wv) - fsde3w(ji,jj,ikv) |
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[2528] | 163 | ELSE ! case 2 |
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| 164 | zmaxv = -ze3wv / fse3w(ji,jj,ikv) |
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| 165 | ! interpolated values of tracers |
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| 166 | ztj(ji,jj,jn) = pta(ji,jj,ikv,jn) + zmaxv * ( pta(ji,jj,ikvm1,jn) - pta(ji,jj,ikv,jn) ) |
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| 167 | ! gradient of tracers |
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[4666] | 168 | pgtv(ji,jj,jn) = vmask(ji,jj,ikv) * ( pta(ji,jj+1,ikv,jn) - ztj(ji,jj,jn) ) |
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| 169 | pgzv(ji,jj) = fsde3w(ji,jj+1,ikv) - (fsde3w(ji,jj,ikv) + ze3wv) |
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[2528] | 170 | ENDIF |
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[4666] | 171 | ENDIF |
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[2528] | 172 | # if ! defined key_vectopt_loop |
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[3] | 173 | END DO |
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[2528] | 174 | # endif |
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[3] | 175 | END DO |
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[2528] | 176 | CALL lbc_lnk( pgtu(:,:,jn), 'U', -1. ) ; CALL lbc_lnk( pgtv(:,:,jn), 'V', -1. ) ! Lateral boundary cond. |
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| 177 | ! |
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| 178 | END DO |
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[3] | 179 | |
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[2528] | 180 | ! horizontal derivative of density anomalies (rd) |
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| 181 | IF( PRESENT( prd ) ) THEN ! depth of the partial step level |
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[789] | 182 | # if defined key_vectopt_loop |
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[3] | 183 | jj = 1 |
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| 184 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolled) |
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| 185 | # else |
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[2528] | 186 | DO jj = 1, jpjm1 |
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| 187 | DO ji = 1, jpim1 |
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[3] | 188 | # endif |
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[2528] | 189 | iku = mbku(ji,jj) |
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| 190 | ikv = mbkv(ji,jj) |
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[4666] | 191 | ze3wu = (fsdept(ji+1,jj,iku) - fsdepw(ji+1,jj,iku)) - (fsdept(ji,jj,iku) - fsdepw(ji,jj,iku)) |
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| 192 | ze3wv = (fsdept(ji,jj+1,ikv) - fsdepw(ji,jj+1,ikv)) - (fsdept(ji,jj,ikv) - fsdepw(ji,jj,ikv)) |
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| 193 | |
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[2528] | 194 | IF( ze3wu >= 0._wp ) THEN ; zhi(ji,jj) = fsdept(ji ,jj,iku) ! i-direction: case 1 |
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| 195 | ELSE ; zhi(ji,jj) = fsdept(ji+1,jj,iku) ! - - case 2 |
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| 196 | ENDIF |
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| 197 | IF( ze3wv >= 0._wp ) THEN ; zhj(ji,jj) = fsdept(ji,jj ,ikv) ! j-direction: case 1 |
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| 198 | ELSE ; zhj(ji,jj) = fsdept(ji,jj+1,ikv) ! - - case 2 |
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| 199 | ENDIF |
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[789] | 200 | # if ! defined key_vectopt_loop |
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[2528] | 201 | END DO |
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| 202 | # endif |
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[3] | 203 | END DO |
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[4666] | 204 | |
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| 205 | ! Compute interpolated rd from zti, ztj for the 2 cases at the depth of the partial |
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| 206 | ! step and store it in zri, zrj for each case |
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| 207 | CALL eos( zti, zhi, zri ) |
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| 208 | CALL eos( ztj, zhj, zrj ) |
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[3] | 209 | |
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[4666] | 210 | ! Gradient of density at the last level |
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| 211 | # if defined key_vectopt_loop |
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| 212 | jj = 1 |
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| 213 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolled) |
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| 214 | # else |
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| 215 | DO jj = 1, jpjm1 |
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| 216 | DO ji = 1, jpim1 |
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| 217 | # endif |
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| 218 | iku = mbku(ji,jj) ; ikum1 = MAX( iku - 1 , 1 ) ! last and before last ocean level at u- & v-points |
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| 219 | ikv = mbkv(ji,jj) ; ikvm1 = MAX( ikv - 1 , 1 ) ! last and before last ocean level at u- & v-points |
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| 220 | ze3wu = (fsdept(ji+1,jj,iku) - fsdepw(ji+1,jj,iku)) - (fsdept(ji,jj,iku) - fsdepw(ji,jj,iku)) |
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| 221 | ze3wv = (fsdept(ji,jj+1,ikv) - fsdepw(ji,jj+1,ikv)) - (fsdept(ji,jj,ikv) - fsdepw(ji,jj,ikv)) |
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| 222 | IF( ze3wu >= 0._wp ) THEN |
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| 223 | pgru(ji,jj) = umask(ji,jj,iku) * ( zri(ji ,jj) - prd(ji,jj,iku) ) ! i: 1 |
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| 224 | pmru(ji,jj) = umask(ji,jj,iku) * ( zri(ji ,jj) + prd(ji,jj,iku) ) ! i: |
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| 225 | pge3ru(ji,jj) = umask(ji,jj,iku) & |
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| 226 | * ( (fse3w(ji+1,jj,iku) - ze3wu )* ( zri(ji ,jj ) + prd(ji+1,jj,ikum1) + 2._wp) & |
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| 227 | - fse3w(ji ,jj,iku) * ( prd(ji ,jj,iku) + prd(ji ,jj,ikum1) + 2._wp) ) ! j: 2 |
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| 228 | ELSE |
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| 229 | pgru(ji,jj) = umask(ji,jj,iku) * ( prd(ji+1,jj,iku) - zri(ji,jj) ) ! i: 2 |
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| 230 | pmru(ji,jj) = umask(ji,jj,iku) * ( prd(ji+1,jj,iku) + zri(ji,jj) ) ! i: 2 |
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| 231 | pge3ru(ji,jj) = umask(ji,jj,iku) & |
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| 232 | * ( fse3w(ji+1,jj,iku) * ( prd(ji+1,jj,iku) + prd(ji+1,jj,ikum1) + 2._wp) & |
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| 233 | -(fse3w(ji ,jj,iku) + ze3wu) * ( zri(ji ,jj ) + prd(ji ,jj,ikum1) + 2._wp) ) ! j: 2 |
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| 234 | ENDIF |
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| 235 | IF( ze3wv >= 0._wp ) THEN |
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| 236 | pgrv(ji,jj) = vmask(ji,jj,ikv) * ( zrj(ji,jj ) - prd(ji,jj,ikv) ) ! j: 1 |
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| 237 | pmrv(ji,jj) = vmask(ji,jj,ikv) * ( zrj(ji,jj ) + prd(ji,jj,ikv) ) ! j: 1 |
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| 238 | pge3rv(ji,jj) = vmask(ji,jj,ikv) & |
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| 239 | * ( (fse3w(ji,jj+1,ikv) - ze3wv )* ( zrj(ji,jj ) + prd(ji,jj+1,ikvm1) + 2._wp) & |
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| 240 | - fse3w(ji,jj ,ikv) * ( prd(ji,jj ,ikv) + prd(ji,jj ,ikvm1) + 2._wp) ) ! j: 2 |
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| 241 | ELSE |
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| 242 | pgrv(ji,jj) = vmask(ji,jj,ikv) * ( prd(ji,jj+1,ikv) - zrj(ji,jj) ) ! j: 2 |
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| 243 | pmrv(ji,jj) = vmask(ji,jj,ikv) * ( prd(ji,jj+1,ikv) + zrj(ji,jj) ) ! j: 2 |
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| 244 | pge3rv(ji,jj) = vmask(ji,jj,ikv) & |
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| 245 | * ( fse3w(ji,jj+1,ikv) * ( prd(ji,jj+1,ikv) + prd(ji,jj+1,ikvm1) + 2._wp) & |
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| 246 | -(fse3w(ji,jj ,ikv) + ze3wv) * ( zrj(ji,jj ) + prd(ji,jj ,ikvm1) + 2._wp) ) ! j: 2 |
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| 247 | ENDIF |
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| 248 | # if ! defined key_vectopt_loop |
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| 249 | END DO |
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| 250 | # endif |
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| 251 | END DO |
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| 252 | CALL lbc_lnk( pgru , 'U', -1. ) ; CALL lbc_lnk( pgrv , 'V', -1. ) ! Lateral boundary conditions |
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| 253 | CALL lbc_lnk( pmru , 'U', 1. ) ; CALL lbc_lnk( pmrv , 'V', 1. ) ! Lateral boundary conditions |
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| 254 | CALL lbc_lnk( pgzu , 'U', -1. ) ; CALL lbc_lnk( pgzv , 'V', -1. ) ! Lateral boundary conditions |
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| 255 | CALL lbc_lnk( pge3ru , 'U', -1. ) ; CALL lbc_lnk( pge3rv , 'V', -1. ) ! Lateral boundary conditions |
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| 256 | ! |
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| 257 | END IF |
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| 258 | ! (ISH) compute grui and gruvi |
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| 259 | DO jn = 1, kjpt !== Interpolation of tracers at the last ocean level ==! ! |
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| 260 | # if defined key_vectopt_loop |
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| 261 | jj = 1 |
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| 262 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolled) |
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| 263 | # else |
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| 264 | DO jj = 1, jpjm1 |
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| 265 | DO ji = 1, jpim1 |
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| 266 | # endif |
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| 267 | iku = miku(ji,jj) ; ikup1 = miku(ji,jj) + 1 |
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| 268 | ikv = mikv(ji,jj) ; ikvp1 = mikv(ji,jj) + 1 |
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| 269 | ze3wu = fse3w(ji+1,jj ,iku+1) - fse3w(ji,jj,iku+1) |
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| 270 | ze3wv = fse3w(ji ,jj+1,ikv+1) - fse3w(ji,jj,ikv+1) |
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| 271 | ! |
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| 272 | ! i- direction |
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| 273 | IF( ze3wu >= 0._wp ) THEN ! case 1 |
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| 274 | zmaxu = ze3wu / fse3w(ji+1,jj,iku+1) |
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| 275 | ! interpolated values of tracers |
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| 276 | zti(ji,jj,jn) = pta(ji+1,jj,iku,jn) + zmaxu * ( pta(ji+1,jj,iku+1,jn) - pta(ji+1,jj,iku,jn) ) |
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| 277 | ! gradient of tracers |
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| 278 | sgtu(ji,jj,jn) = umask(ji,jj,iku) * ( zti(ji,jj,jn) - pta(ji,jj,iku,jn) ) |
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| 279 | sgzu(ji,jj) = (fsde3w(ji+1,jj,iku) + ze3wu) - fsde3w(ji,jj,iku) |
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| 280 | ELSE ! case 2 |
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| 281 | zmaxu = - ze3wu / fse3w(ji,jj,iku+1) |
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| 282 | ! interpolated values of tracers |
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| 283 | zti(ji,jj,jn) = pta(ji,jj,iku,jn) + zmaxu * ( pta(ji,jj,iku+1,jn) - pta(ji,jj,iku,jn) ) |
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| 284 | sgtu(ji,jj,jn) = umask(ji,jj,iku) * ( pta(ji+1,jj,iku,jn) - zti(ji,jj,jn) ) |
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| 285 | ! gradient of tracers |
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| 286 | sgzu(ji,jj) = fsde3w(ji+1,jj,iku) - (fsde3w(ji,jj,iku) - ze3wu) |
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| 287 | ENDIF |
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| 288 | ! |
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| 289 | ! j- direction |
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| 290 | IF( ze3wv >= 0._wp ) THEN ! case 1 |
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| 291 | zmaxv = ze3wv / fse3w(ji,jj+1,ikv+1) |
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| 292 | ! interpolated values of tracers |
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| 293 | ztj(ji,jj,jn) = pta(ji,jj+1,ikv,jn) + zmaxv * ( pta(ji,jj+1,ikv+1,jn) - pta(ji,jj+1,ikv,jn) ) |
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| 294 | ! gradient of tracers |
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| 295 | sgtv(ji,jj,jn) = vmask(ji,jj,ikv) * ( ztj(ji,jj,jn) - pta(ji,jj,ikv,jn) ) |
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| 296 | sgzv(ji,jj) = (fsde3w(ji,jj+1,ikv) + ze3wv) - fsde3w(ji,jj,ikv) |
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| 297 | ELSE ! case 2 |
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| 298 | zmaxv = - ze3wv / fse3w(ji,jj,ikv+1) |
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| 299 | ! interpolated values of tracers |
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| 300 | ztj(ji,jj,jn) = pta(ji,jj,ikv,jn) + zmaxv * ( pta(ji,jj,ikv+1,jn) - pta(ji,jj,ikv,jn) ) |
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| 301 | ! gradient of tracers |
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| 302 | sgtv(ji,jj,jn) = vmask(ji,jj,ikv) * ( pta(ji,jj+1,ikv,jn) - ztj(ji,jj,jn) ) |
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| 303 | sgzv(ji,jj) = fsde3w(ji,jj+1,ikv) - (fsde3w(ji,jj,ikv) - ze3wv) |
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| 304 | ENDIF |
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| 305 | # if ! defined key_vectopt_loop |
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| 306 | END DO |
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| 307 | # endif |
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| 308 | END DO!! |
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| 309 | CALL lbc_lnk( sgtu(:,:,jn), 'U', -1. ) ; CALL lbc_lnk( sgtv(:,:,jn), 'V', -1. ) ! Lateral boundary cond. |
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| 310 | ! |
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| 311 | END DO |
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| 312 | |
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| 313 | ! horizontal derivative of density anomalies (rd) |
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| 314 | IF( PRESENT( prd ) ) THEN ! depth of the partial step level |
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| 315 | # if defined key_vectopt_loop |
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| 316 | jj = 1 |
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| 317 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolled) |
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| 318 | # else |
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| 319 | DO jj = 1, jpjm1 |
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| 320 | DO ji = 1, jpim1 |
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| 321 | # endif |
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| 322 | iku = miku(ji,jj) |
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| 323 | ikv = mikv(ji,jj) |
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| 324 | ze3wu = fse3w(ji+1,jj ,iku+1) - fse3w(ji,jj,iku+1) |
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| 325 | ze3wv = fse3w(ji ,jj+1,ikv+1) - fse3w(ji,jj,ikv+1) |
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| 326 | |
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| 327 | IF( ze3wu >= 0._wp ) THEN ; zhi(ji,jj) = fsdept(ji ,jj,iku) ! i-direction: case 1 |
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| 328 | ELSE ; zhi(ji,jj) = fsdept(ji+1,jj,iku) ! - - case 2 |
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| 329 | ENDIF |
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| 330 | IF( ze3wv >= 0._wp ) THEN ; zhj(ji,jj) = fsdept(ji,jj ,ikv) ! j-direction: case 1 |
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| 331 | ELSE ; zhj(ji,jj) = fsdept(ji,jj+1,ikv) ! - - case 2 |
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| 332 | ENDIF |
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| 333 | # if ! defined key_vectopt_loop |
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| 334 | END DO |
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| 335 | # endif |
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| 336 | END DO |
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| 337 | |
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[2528] | 338 | ! Compute interpolated rd from zti, ztj for the 2 cases at the depth of the partial |
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| 339 | ! step and store it in zri, zrj for each case |
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[3294] | 340 | CALL eos( zti, zhi, zri ) |
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| 341 | CALL eos( ztj, zhj, zrj ) |
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[3] | 342 | |
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[2528] | 343 | ! Gradient of density at the last level |
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[789] | 344 | # if defined key_vectopt_loop |
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[3] | 345 | jj = 1 |
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| 346 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolled) |
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| 347 | # else |
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[2528] | 348 | DO jj = 1, jpjm1 |
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| 349 | DO ji = 1, jpim1 |
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[3] | 350 | # endif |
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[4666] | 351 | iku = miku(ji,jj) ; ikup1 = miku(ji,jj) + 1 |
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| 352 | ikv = mikv(ji,jj) ; ikvp1 = mikv(ji,jj) + 1 |
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| 353 | ze3wu = fse3w(ji+1,jj ,iku+1) - fse3w(ji,jj,iku+1) |
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| 354 | ze3wv = fse3w(ji ,jj+1,ikv+1) - fse3w(ji,jj,ikv+1) |
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| 355 | IF( ze3wu >= 0._wp ) THEN |
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| 356 | sgru (ji,jj) = umask(ji,jj,iku) * ( zri(ji,jj) - prd(ji,jj,iku) ) ! i: 1 |
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| 357 | smru (ji,jj) = umask(ji,jj,iku) * ( zri(ji,jj) + prd(ji,jj,iku) ) ! i: 1 |
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| 358 | sge3ru(ji,jj) = umask(ji,jj,iku+1) & |
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| 359 | * ( (fse3w(ji+1,jj,iku+1) - ze3wu) * (zri(ji,jj ) + prd(ji+1,jj,iku+1) + 2._wp) & |
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| 360 | - fse3w(ji ,jj,iku+1) * (prd(ji,jj,iku) + prd(ji ,jj,iku+1) + 2._wp) ) ! i: 1 |
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| 361 | ELSE |
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| 362 | sgru (ji,jj) = umask(ji,jj,iku) * ( prd(ji+1,jj,iku) - zri(ji,jj) ) ! i: 2 |
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| 363 | smru (ji,jj) = umask(ji,jj,iku) * ( prd(ji+1,jj,iku) + zri(ji,jj) ) ! i: 2 |
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| 364 | sge3ru(ji,jj) = umask(ji,jj,iku+1) & |
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| 365 | * ( fse3w(ji+1,jj,iku+1) * (prd(ji+1,jj,iku) + prd(ji+1,jj,iku+1) + 2._wp) & |
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| 366 | -(fse3w(ji ,jj,iku+1) + ze3wu) * (zri(ji,jj ) + prd(ji ,jj,iku+1) + 2._wp) ) ! i: 2 |
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[2528] | 367 | ENDIF |
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[4666] | 368 | IF( ze3wv >= 0._wp ) THEN |
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| 369 | sgrv (ji,jj) = vmask(ji,jj,ikv) * ( zrj(ji,jj ) - prd(ji,jj,ikv) ) ! j: 1 |
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| 370 | smrv (ji,jj) = vmask(ji,jj,ikv) * ( zrj(ji,jj ) + prd(ji,jj,ikv) ) ! j: 1 |
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| 371 | sge3rv(ji,jj) = vmask(ji,jj,ikv+1) & |
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| 372 | * ( (fse3w(ji,jj+1,ikv+1) - ze3wv) * ( zrj(ji,jj ) + prd(ji,jj+1,ikv+1) + 2._wp) & |
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| 373 | - fse3w(ji,jj ,ikv+1) * ( prd(ji,jj,ikv) + prd(ji,jj ,ikv+1) + 2._wp) ) ! j: 1 |
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| 374 | ! + 2 due to the formulation in density and not in anomalie in hpg sco |
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| 375 | ELSE |
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| 376 | sgrv (ji,jj) = vmask(ji,jj,ikv) * ( prd(ji,jj+1,ikv) - zrj(ji,jj) ) ! j: 2 |
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| 377 | smrv (ji,jj) = vmask(ji,jj,ikv) * ( prd(ji,jj+1,ikv) + zrj(ji,jj) ) ! j: 2 |
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| 378 | sge3rv(ji,jj) = vmask(ji,jj,ikv+1) & |
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| 379 | * ( fse3w(ji,jj+1,ikv+1) * ( prd(ji,jj+1,ikv) + prd(ji,jj+1,ikv+1) + 2._wp) & |
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| 380 | -(fse3w(ji,jj ,ikv+1) + ze3wv) * ( zrj(ji,jj ) + prd(ji,jj ,ikv+1) + 2._wp) ) ! j: 2 |
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[2528] | 381 | ENDIF |
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[789] | 382 | # if ! defined key_vectopt_loop |
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[2528] | 383 | END DO |
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| 384 | # endif |
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[3] | 385 | END DO |
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[4666] | 386 | CALL lbc_lnk( sgru , 'U', -1. ) ; CALL lbc_lnk( sgrv , 'V', -1. ) ! Lateral boundary conditions |
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| 387 | CALL lbc_lnk( smru , 'U', 1. ) ; CALL lbc_lnk( smrv , 'V', 1. ) ! Lateral boundary conditions |
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| 388 | CALL lbc_lnk( sgzu , 'U', -1. ) ; CALL lbc_lnk( sgzv , 'V', -1. ) ! Lateral boundary conditions |
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| 389 | CALL lbc_lnk( sge3ru , 'U', -1. ) ; CALL lbc_lnk( sge3rv , 'V', -1. ) ! Lateral boundary conditions |
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[2528] | 390 | ! |
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[4666] | 391 | END IF |
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[2528] | 392 | ! |
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[4666] | 393 | CALL wrk_dealloc( jpi, jpj, zri, zrj, zhi, zhj) |
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[3294] | 394 | CALL wrk_dealloc( jpi, jpj, kjpt, zti, ztj ) |
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[2715] | 395 | ! |
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[3294] | 396 | IF( nn_timing == 1 ) CALL timing_stop( 'zps_hde') |
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[2715] | 397 | ! |
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[3] | 398 | END SUBROUTINE zps_hde |
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| 399 | |
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| 400 | !!====================================================================== |
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| 401 | END MODULE zpshde |
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