[5105] | 1 | MODULE zpshde_crs |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE zpshde *** |
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| 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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| 11 | |
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| 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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| 16 | USE oce ! ocean: dynamics and tracers variables |
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| 17 | USE dom_oce ! domain: ocean variables |
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| 18 | USE phycst ! physical constants |
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| 19 | USE eosbn2_crs ! ocean equation of state |
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| 20 | USE in_out_manager ! I/O manager |
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| 21 | USE crslbclnk ! lateral boundary conditions (or mpp link) |
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| 22 | USE lib_mpp ! MPP library |
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| 23 | USE wrk_nemo ! Memory allocation |
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| 24 | USE timing ! Timing |
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| 25 | USE crs |
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| 26 | |
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| 27 | |
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| 28 | IMPLICIT NONE |
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| 29 | PRIVATE |
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| 30 | |
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| 31 | PUBLIC zps_hde_crs ! routine called by step.F90 |
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| 32 | |
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| 33 | !! * Substitutions |
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| 34 | # include "domzgr_substitute.h90" |
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| 35 | # include "vectopt_loop_substitute.h90" |
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| 36 | !!---------------------------------------------------------------------- |
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| 37 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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| 38 | !! $Id: zpshde.F90 3294 2012-01-28 16:44:18Z rblod $ |
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| 39 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 40 | !!---------------------------------------------------------------------- |
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| 41 | CONTAINS |
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| 42 | |
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| 43 | SUBROUTINE zps_hde_crs( kt, kjpt, pta, pgtu, pgtv, & |
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| 44 | prd, pgru, pgrv ) |
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| 45 | !!---------------------------------------------------------------------- |
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| 46 | !! *** ROUTINE zps_hde *** |
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| 47 | !! |
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| 48 | !! ** Purpose : Compute the horizontal derivative of T, S and rho |
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| 49 | !! at u- and v-points with a linear interpolation for z-coordinate |
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| 50 | !! with partial steps. |
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| 51 | !! |
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| 52 | !! ** Method : In z-coord with partial steps, scale factors on last |
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| 53 | !! levels are different for each grid point, so that T, S and rd |
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| 54 | !! points are not at the same depth as in z-coord. To have horizontal |
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| 55 | !! gradients again, we interpolate T and S at the good depth : |
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| 56 | !! Linear interpolation of T, S |
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| 57 | !! Computation of di(tb) and dj(tb) by vertical interpolation: |
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| 58 | !! di(t) = t~ - t(i,j,k) or t(i+1,j,k) - t~ |
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| 59 | !! dj(t) = t~ - t(i,j,k) or t(i,j+1,k) - t~ |
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| 60 | !! This formulation computes the two cases: |
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| 61 | !! CASE 1 CASE 2 |
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| 62 | !! k-1 ___ ___________ k-1 ___ ___________ |
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| 63 | !! Ti T~ T~ Ti+1 |
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| 64 | !! _____ _____ |
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| 65 | !! k | |Ti+1 k Ti | | |
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| 66 | !! | |____ ____| | |
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| 67 | !! ___ | | | ___ | | | |
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| 68 | !! |
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| 69 | !! case 1-> e3w(i+1) >= e3w(i) ( and e3w(j+1) >= e3w(j) ) then |
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| 70 | !! t~ = t(i+1,j ,k) + (e3w(i+1) - e3w(i)) * dk(Ti+1)/e3w(i+1) |
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| 71 | !! ( t~ = t(i ,j+1,k) + (e3w(j+1) - e3w(j)) * dk(Tj+1)/e3w(j+1) ) |
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| 72 | !! or |
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| 73 | !! case 2-> e3w(i+1) <= e3w(i) ( and e3w(j+1) <= e3w(j) ) then |
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| 74 | !! t~ = t(i,j,k) + (e3w(i) - e3w(i+1)) * dk(Ti)/e3w(i ) |
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| 75 | !! ( t~ = t(i,j,k) + (e3w(j) - e3w(j+1)) * dk(Tj)/e3w(j ) ) |
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| 76 | !! Idem for di(s) and dj(s) |
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| 77 | !! |
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| 78 | !! For rho, we call eos_insitu_2d which will compute rd~(t~,s~) at |
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| 79 | !! the good depth zh from interpolated T and S for the different |
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| 80 | !! formulation of the equation of state (eos). |
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| 81 | !! Gradient formulation for rho : |
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| 82 | !! di(rho) = rd~ - rd(i,j,k) or rd(i+1,j,k) - rd~ |
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| 83 | !! |
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| 84 | !! ** Action : - pgtu, pgtv: horizontal gradient of tracer at u- & v-points |
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| 85 | !! - pgru, pgrv: horizontal gradient of rho (if present) at u- & v-points |
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| 86 | !!---------------------------------------------------------------------- |
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| 87 | ! |
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| 88 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 89 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 90 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: pta ! 4D tracers fields |
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| 91 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT( out) :: pgtu, pgtv ! hor. grad. of ptra at u- & v-pts |
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| 92 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ), OPTIONAL :: prd ! 3D density anomaly fields |
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| 93 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: pgru, pgrv ! hor. grad. of prd at u- & v-pts |
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| 94 | ! |
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| 95 | INTEGER :: ji, jj, jn ! Dummy loop indices |
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| 96 | INTEGER :: iku, ikv, ikum1, ikvm1 ! partial step level (ocean bottom level) at u- and v-points |
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| 97 | REAL(wp) :: ze3wu, ze3wv, zmaxu, zmaxv ! temporary scalars |
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| 98 | !cc REAL(wp), POINTER, DIMENSION(:,: ) :: zri, zrj, zhi, zhj |
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| 99 | !cc REAL(wp), POINTER, DIMENSION(:,:,:) :: zti, zte ! interpolated value of tracer |
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| 100 | REAL(wp), ALLOCATABLE, DIMENSION(:,: ) :: zri, zrj, zhi, zhj |
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| 101 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: zti, zte ! interpolated value of tracer |
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| 102 | |
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| 103 | !!---------------------------------------------------------------------- |
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| 104 | ! |
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[5601] | 105 | IF( nn_timing == 1 ) CALL timing_start( 'zps_hde_crs') |
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[5105] | 106 | ! |
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| 107 | !! CALL wrk_alloc( jpi, jpj, zri, zrj, zhi, zhj ) |
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| 108 | !! CALL wrk_alloc( jpi, jpj, kjpt, zti, zte ) |
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| 109 | ALLOCATE( zri(jpi_crs,jpj_crs) , zrj(jpi_crs,jpj_crs), zte(jpi_crs ,jpj_crs ,kjpt), & |
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| 110 | & zhi(jpi_crs,jpj_crs) , zhj(jpi_crs,jpj_crs), zti(jpi_crs ,jpj_crs ,kjpt)) |
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| 111 | ! |
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| 112 | DO jn = 1, kjpt !== Interpolation of tracers at the last ocean level ==! |
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| 113 | ! |
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| 114 | # if defined key_vectopt_loop |
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| 115 | jj = 1 |
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| 116 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolled) |
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| 117 | # else |
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| 118 | DO jj = 1, jpjm1 |
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| 119 | DO ji = 1, jpim1 |
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| 120 | # endif |
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| 121 | iku = mbku_crs(ji,jj) ; ikum1 = MAX( iku - 1 , 1 ) ! last and before last ocean level at u- & v-points |
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| 122 | ikv = mbkv_crs(ji,jj) ; ikvm1 = MAX( ikv - 1 , 1 ) ! if level first is a p-step, ik.m1=1 |
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| 123 | ! ze3wu = e3w_crs(ji+1,jj ,iku) - e3w_crs(ji,jj,iku) |
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| 124 | ! ze3wv = e3w_crs(ji ,jj+1,ikv) - e3w_crs(ji,jj,ikv) |
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| 125 | ze3wu = e3w_max_crs(ji+1,jj ,iku) - e3w_max_crs(ji,jj,iku) |
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| 126 | ze3wv = e3w_max_crs(ji ,jj+1,ikv) - e3w_max_crs(ji,jj,ikv) |
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| 127 | ! |
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| 128 | ! i- direction |
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| 129 | IF( ze3wu >= 0._wp ) THEN ! case 1 |
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[5601] | 130 | zmaxu = ze3wu / e3w_max_crs(ji+1,jj,iku) |
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[5105] | 131 | ! zmaxu = ze3wu / e3w_crs(ji+1,jj,iku) |
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| 132 | ! interpolated values of tracers |
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| 133 | 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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| 134 | ! gradient of tracers |
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| 135 | pgtu(ji,jj,jn) = umask_crs(ji,jj,1) * ( zti(ji,jj,jn) - pta(ji,jj,iku,jn) ) |
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| 136 | ELSE ! case 2 |
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[5601] | 137 | zmaxu = -ze3wu / e3w_max_crs(ji,jj,iku) |
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[5105] | 138 | ! zmaxu = -ze3wu / e3w_crs(ji,jj,iku) |
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| 139 | ! interpolated values of tracers |
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| 140 | zti(ji,jj,jn) = pta(ji,jj,iku,jn) + zmaxu * ( pta(ji,jj,ikum1,jn) - pta(ji,jj,iku,jn) ) |
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| 141 | ! gradient of tracers |
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| 142 | pgtu(ji,jj,jn) = umask_crs(ji,jj,1) * ( pta(ji+1,jj,iku,jn) - zti(ji,jj,jn) ) |
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| 143 | ENDIF |
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| 144 | ! |
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| 145 | ! j- direction |
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| 146 | IF( ze3wv >= 0._wp ) THEN ! case 1 |
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[5601] | 147 | zmaxv = ze3wv / e3w_max_crs(ji,jj+1,ikv) |
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[5105] | 148 | ! zmaxv = ze3wv / e3w_crs(ji,jj+1,ikv) |
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| 149 | ! interpolated values of tracers |
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| 150 | zte(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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| 151 | ! gradient of tracers |
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| 152 | pgtv(ji,jj,jn) = vmask_crs(ji,jj,1) * ( zte(ji,jj,jn) - pta(ji,jj,ikv,jn) ) |
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| 153 | ELSE ! case 2 |
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[5601] | 154 | zmaxv = -ze3wv / e3w_max_crs(ji,jj,ikv) |
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[5105] | 155 | ! zmaxv = -ze3wv / e3w_crs(ji,jj,ikv) |
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| 156 | ! interpolated values of tracers |
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| 157 | zte(ji,jj,jn) = pta(ji,jj,ikv,jn) + zmaxv * ( pta(ji,jj,ikvm1,jn) - pta(ji,jj,ikv,jn) ) |
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| 158 | ! gradient of tracers |
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| 159 | pgtv(ji,jj,jn) = vmask_crs(ji,jj,1) * ( pta(ji,jj+1,ikv,jn) - zte(ji,jj,jn) ) |
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| 160 | ENDIF |
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| 161 | |
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| 162 | # if ! defined key_vectopt_loop |
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| 163 | END DO |
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| 164 | # endif |
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| 165 | END DO |
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| 166 | CALL crs_lbc_lnk( pgtu(:,:,jn), 'U', -1. ) ; CALL crs_lbc_lnk( pgtv(:,:,jn), 'V', -1. ) ! Lateral boundary cond. |
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| 167 | ! |
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| 168 | END DO |
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| 169 | !WRITE(numout,*) ' test24 ', e3w_max_crs |
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| 170 | ! horizontal derivative of density anomalies (rd) |
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| 171 | IF( PRESENT( prd ) ) THEN ! depth of the partial step level |
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| 172 | # if defined key_vectopt_loop |
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| 173 | jj = 1 |
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| 174 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolled) |
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| 175 | # else |
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| 176 | DO jj = 1, jpjm1 |
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| 177 | DO ji = 1, jpim1 |
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| 178 | # endif |
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| 179 | iku = mbku_crs(ji,jj) |
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| 180 | ikv = mbkv_crs(ji,jj) |
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| 181 | !cc ze3wu = e3w_max_crs(ji+1,jj ,iku) - e3w_max_crs(ji,jj,iku) !gradiant horizontal pas de max |
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| 182 | ze3wu = e3w_crs(ji+1,jj ,iku) - e3w_crs(ji,jj,iku) |
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| 183 | !cc ze3wv = e3w_max_crs(ji ,jj+1,ikv) - e3w_max_crs(ji,jj,ikv) |
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| 184 | ze3wv = e3w_crs(ji ,jj+1,ikv) - e3w_crs(ji,jj,ikv) |
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| 185 | IF( ze3wu >= 0._wp ) THEN ; zhi(ji,jj) = gdept_crs(ji ,jj,iku) ! i-direction: case 1 |
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| 186 | ELSE ; zhi(ji,jj) = gdept_crs(ji+1,jj,iku) ! - - case 2 |
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| 187 | ENDIF |
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| 188 | IF( ze3wv >= 0._wp ) THEN ; zhj(ji,jj) = gdept_crs(ji,jj ,ikv) ! j-direction: case 1 |
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| 189 | ELSE ; zhj(ji,jj) = gdept_crs(ji,jj+1,ikv) ! - - case 2 |
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| 190 | ENDIF |
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| 191 | # if ! defined key_vectopt_loop |
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| 192 | END DO |
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| 193 | # endif |
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| 194 | END DO |
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| 195 | CALL eos_crs( zti, zhi, zri ) |
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| 196 | CALL eos_crs( zte, zhj, zrj ) |
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| 197 | ! Gradient of density at the last level |
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| 198 | # if defined key_vectopt_loop |
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| 199 | jj = 1 |
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| 200 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolled) |
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| 201 | # else |
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| 202 | DO jj = 1, jpjm1 |
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| 203 | DO ji = 1, jpim1 |
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| 204 | # endif |
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| 205 | iku = mbku_crs(ji,jj) |
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| 206 | ikv = mbkv_crs(ji,jj) |
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| 207 | ! ze3wu = e3w_max_crs(ji+1,jj ,iku) - e3w_max_crs(ji,jj,iku) gradient horizontal |
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| 208 | ze3wu = e3w_crs(ji+1,jj ,iku) - e3w_crs(ji,jj,iku) |
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| 209 | ! ze3wv = e3w_max_crs(ji ,jj+1,ikv) - e3w_max_crs(ji,jj,ikv) gradient horizontal |
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| 210 | ze3wv = e3w_crs(ji ,jj+1,ikv) - e3w_crs(ji,jj,ikv) |
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| 211 | IF( ze3wu >= 0._wp ) THEN ; pgru(ji,jj) = umask_crs(ji,jj,1) * ( zri(ji ,jj) - prd(ji,jj,iku) ) ! i: 1 |
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| 212 | ELSE ; pgru(ji,jj) = umask_crs(ji,jj,1) * ( prd(ji+1,jj,iku) - zri(ji,jj) ) ! i: 2 |
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| 213 | ENDIF |
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| 214 | IF( ze3wv >= 0._wp ) THEN ; pgrv(ji,jj) = vmask_crs(ji,jj,1) * ( zrj(ji,jj ) - prd(ji,jj,ikv) ) ! j: 1 |
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| 215 | ELSE ; pgrv(ji,jj) = vmask_crs(ji,jj,1) * ( prd(ji,jj+1,ikv) - zrj(ji,jj) ) ! j: 2 |
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| 216 | ENDIF |
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| 217 | # if ! defined key_vectopt_loop |
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| 218 | END DO |
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| 219 | # endif |
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| 220 | END DO |
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| 221 | |
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| 222 | |
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| 223 | CALL crs_lbc_lnk( pgru , 'U', -1. ) ; CALL crs_lbc_lnk( pgrv , 'V', -1. ) ! Lateral boundary conditions |
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| 224 | ! |
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| 225 | END IF |
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| 226 | ! |
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| 227 | !!ccCALL wrk_dealloc( jpi, jpj, zri, zrj, zhi, zhj ) |
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| 228 | !!ccCALL wrk_dealloc( jpi, jpj, kjpt, zti, zte ) |
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| 229 | DEALLOCATE( zri , zrj, zte, zhi, zhj, zti) |
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| 230 | ! |
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[5601] | 231 | IF( nn_timing == 1 ) CALL timing_stop( 'zps_hde_crs') |
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[5105] | 232 | ! |
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| 233 | END SUBROUTINE zps_hde_crs |
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| 234 | |
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| 235 | !!====================================================================== |
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| 236 | END MODULE zpshde_crs |
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