[941] | 1 | MODULE zpshde_trc |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE zpshde_trc *** |
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| 4 | !! Ocean passive tracers: |
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| 5 | !!============================================================================== |
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| 6 | #if defined key_top |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | !! 'key_top' TOP models |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! z-coordinate with partial steps |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | !! zps_hde_trc : Horizontal DErivative of passive tracers at the last |
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| 13 | !! ocean level (Z-coord. with Partial Steps) |
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| 14 | !!---------------------------------------------------------------------- |
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| 15 | !! * Modules used |
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| 16 | USE oce_trc ! ocean dynamics and tracers variables |
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| 17 | USE trc ! ocean passive tracers variables |
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| 18 | USE lbclnk ! lateral boundary conditions (or mpp link) |
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| 19 | |
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| 20 | IMPLICIT NONE |
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| 21 | PRIVATE |
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| 22 | |
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| 23 | !! * Routine accessibility |
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| 24 | PUBLIC zps_hde_trc ! routine called by step.F90 |
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| 25 | |
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| 26 | !! * module variables |
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| 27 | INTEGER, DIMENSION(jpi,jpj) :: & |
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| 28 | mbatu, mbatv ! bottom ocean level index at U- and V-points |
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| 29 | |
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| 30 | !! * Substitutions |
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| 31 | # include "top_substitute.h90" |
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| 32 | !!---------------------------------------------------------------------- |
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| 33 | !! TOP 1.0 , LOCEAN-IPSL (2005) |
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| 34 | !! $Header$ |
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| 35 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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| 36 | !!---------------------------------------------------------------------- |
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| 37 | |
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| 38 | CONTAINS |
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| 39 | |
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| 40 | SUBROUTINE zps_hde_trc ( kt, ptra, pgtru, pgtrv ) |
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| 41 | !!---------------------------------------------------------------------- |
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| 42 | !! *** ROUTINE zps_hde_trc *** |
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| 43 | !! |
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| 44 | !! ** Purpose : Compute the horizontal derivative of passive tracers |
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| 45 | !! TRA at u- and v-points with a linear interpolation for z-coordinate |
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| 46 | !! with partial steps. |
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| 47 | !! |
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| 48 | !! ** Method : In z-coord with partial steps, scale factors on last |
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| 49 | !! levels are different for each grid point, so that TRA points |
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| 50 | !! are not at the same depth as in z-coord. To have horizontal |
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| 51 | !! gradients again, we interpolate TRA at the good depth : |
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| 52 | !! Linear interpolation of TRA |
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| 53 | !! Computation of di(trb) and dj(trb) by vertical interpolation: |
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| 54 | !! di(tra) = tra~ - tra(i,j,k) or tra(i+1,j,k) - tra~ |
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| 55 | !! dj(tra) = tra~ - tra(i,j,k) or tra(i,j+1,k) - tra~ |
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| 56 | !! This formulation computes the two cases: |
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| 57 | !! CASE 1 CASE 2 |
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| 58 | !! k-1 ___ ___________ k-1 ___ ___________ |
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| 59 | !! TRAi TRA~ TRA~ TRAi+1 |
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| 60 | !! _____ _____ |
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| 61 | !! k | |TRAi+1 k TRAi | | |
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| 62 | !! | |____ ____| | |
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| 63 | !! ___ | | | ___ | | | |
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| 64 | !! |
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| 65 | !! case 1-> e3w(i+1) >= e3w(i) ( and e3w(j+1) >= e3w(j) ) then |
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| 66 | !! tra~ = tra(i+1,j ,k) + (e3w(i+1) - e3w(i)) * dk(TRAi+1)/e3w(i+1) |
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| 67 | !! ( tra~ = tra(i ,j+1,k) + (e3w(j+1) - e3w(j)) * dk(TRAj+1)/e3w(j+1)) |
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| 68 | !! or |
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| 69 | !! case 2-> e3w(i+1) <= e3w(i) ( and e3w(j+1) <= e3w(j) ) then |
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| 70 | !! tra~ = tra(i,j,k) + (e3w(i) - e3w(i+1)) * dk(TRAi)/e3w(i ) |
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| 71 | !! ( tra~ = tra(i,j,k) + (e3w(j) - e3w(j+1)) * dk(TRAj)/e3w(j ) ) |
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| 72 | !! |
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| 73 | !! |
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| 74 | !! ** Action : - pgtru : horizontal gradient of TRA at U-points |
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| 75 | !! - pgtrv : horizontal gradient of TRA at V-points |
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| 76 | !! |
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| 77 | !! History : |
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| 78 | !! 8.5 ! 02-04 (A. Bozec) Original code |
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| 79 | !! 8.5 ! 02-08 (G. Madec E. Durand) Optimization and Free form |
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| 80 | !! 9.0 ! 04-03 (C. Ethe) adapted for passive tracers |
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| 81 | !!---------------------------------------------------------------------- |
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| 82 | !! * Arguments |
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| 83 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 84 | REAL(wp), DIMENSION(jpi,jpj,jpk,jptra), INTENT( in ) :: & |
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| 85 | ptra ! 4D tracers fields |
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| 86 | REAL(wp), DIMENSION(jpi,jpj,jptra), INTENT( out ) :: & |
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| 87 | pgtru, & ! horizontal grad. of TRA u- and v-points |
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| 88 | pgtrv ! of the partial step level |
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| 89 | |
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| 90 | !! * Local declarations |
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| 91 | INTEGER :: ji, jj,jn, & ! Dummy loop indices |
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| 92 | iku,ikv ! partial step level at u- and v-points |
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| 93 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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| 94 | zti, ztj ! tempory arrays |
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| 95 | |
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| 96 | REAL(wp), DIMENSION(jpi,jpj,jptra) :: & |
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| 97 | ztrai, ztraj ! interpolated value of TRA |
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| 98 | |
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| 99 | REAL(wp) :: & |
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| 100 | ze3wu, ze3wv, & ! temporary scalars |
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| 101 | zmaxu1, zmaxu2, & ! " " |
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| 102 | zmaxv1, zmaxv2 ! " " |
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| 103 | !!---------------------------------------------------------------------- |
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| 104 | |
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| 105 | ! Initialization (first time-step only): compute mbatu and mbatv |
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| 106 | IF( kt == nittrc000 ) THEN |
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| 107 | mbatu(:,:) = 0 |
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| 108 | mbatv(:,:) = 0 |
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| 109 | DO jj = 1, jpjm1 |
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| 110 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 111 | mbatu(ji,jj) = MAX( MIN( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1, 2 ) |
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| 112 | mbatv(ji,jj) = MAX( MIN( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1, 2 ) |
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| 113 | END DO |
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| 114 | END DO |
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| 115 | zti(:,:) = FLOAT( mbatu(:,:) ) |
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| 116 | ztj(:,:) = FLOAT( mbatv(:,:) ) |
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| 117 | ! lateral boundary conditions: T-point, sign unchanged |
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| 118 | CALL lbc_lnk( zti , 'U', 1. ) |
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| 119 | CALL lbc_lnk( ztj , 'V', 1. ) |
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| 120 | mbatu(:,:) = MAX( INT( zti(:,:) ), 2 ) |
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| 121 | mbatv(:,:) = MAX( INT( ztj(:,:) ), 2 ) |
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| 122 | ENDIF |
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| 123 | |
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| 124 | |
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| 125 | DO jn = 1, jptra |
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| 126 | ! Interpolation of passive tracers at the last ocean level |
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| 127 | # if defined key_vectopt_loop && ! defined key_mpp_omp |
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| 128 | jj = 1 |
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| 129 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolled) |
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| 130 | # else |
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| 131 | DO jj = 1, jpjm1 |
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| 132 | DO ji = 1, jpim1 |
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| 133 | # endif |
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| 134 | ! last level |
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| 135 | iku = mbatu(ji,jj) |
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| 136 | ikv = mbatv(ji,jj) |
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| 137 | |
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| 138 | ze3wu = fse3w(ji+1,jj ,iku) - fse3w(ji,jj,iku) |
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| 139 | ze3wv = fse3w(ji ,jj+1,ikv) - fse3w(ji,jj,ikv) |
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| 140 | zmaxu1 = ze3wu / fse3w(ji+1,jj ,iku) |
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| 141 | zmaxu2 = -ze3wu / fse3w(ji ,jj ,iku) |
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| 142 | zmaxv1 = ze3wv / fse3w(ji ,jj+1,ikv) |
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| 143 | zmaxv2 = -ze3wv / fse3w(ji ,jj ,ikv) |
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| 144 | |
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| 145 | ! i- direction |
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| 146 | |
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| 147 | IF( ze3wu >= 0. ) THEN ! case 1 |
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| 148 | ! interpolated values of passive tracers |
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| 149 | ztrai(ji,jj,jn) = ptra(ji+1,jj,iku,jn) + zmaxu1 * ( ptra(ji+1,jj,iku-1,jn) - ptra(ji+1,jj,iku,jn) ) |
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| 150 | ! gradient of passive tracers |
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| 151 | pgtru(ji,jj,jn) = umask(ji,jj,1) * ( ztrai(ji,jj,jn) - ptra(ji,jj,iku,jn) ) |
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| 152 | ELSE ! case 2 |
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| 153 | ! interpolated values of passive tracers |
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| 154 | ztrai(ji,jj,jn) = ptra(ji,jj,iku,jn) + zmaxu2 * ( ptra(ji,jj,iku-1,jn) - ptra(ji,jj,iku,jn) ) |
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| 155 | ! gradient of passive tracers |
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| 156 | pgtru(ji,jj,jn) = umask(ji,jj,1) * ( ptra(ji+1,jj,iku,jn) - ztrai (ji,jj,jn) ) |
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| 157 | ENDIF |
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| 158 | |
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| 159 | ! j- direction |
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| 160 | |
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| 161 | IF( ze3wv >= 0. ) THEN ! case 1 |
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| 162 | ! interpolated values of passive tracers |
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| 163 | ztraj(ji,jj,jn) = ptra(ji,jj+1,ikv,jn) + zmaxv1 * ( ptra(ji,jj+1,ikv-1,jn) - ptra(ji,jj+1,ikv,jn) ) |
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| 164 | ! gradient of passive tracers |
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| 165 | pgtrv(ji,jj,jn) = vmask(ji,jj,1) * ( ztraj(ji,jj,jn) - ptra(ji,jj,ikv,jn) ) |
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| 166 | ELSE ! case 2 |
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| 167 | ! interpolated values of passive tracers |
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| 168 | ztraj(ji,jj,jn) = ptra(ji,jj,ikv,jn) + zmaxv2 * ( ptra(ji,jj,ikv-1,jn) - ptra(ji,jj,ikv,jn) ) |
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| 169 | ! gradient of passive tracers |
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| 170 | pgtrv(ji,jj,jn) = vmask(ji,jj,1) * ( ptra(ji,jj+1,ikv,jn) - ztraj(ji,jj,jn) ) |
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| 171 | ENDIF |
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| 172 | # if ! defined key_vectopt_loop || defined key_mpp_omp |
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| 173 | END DO |
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| 174 | # endif |
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| 175 | END DO |
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| 176 | |
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| 177 | ! Lateral boundary conditions on each gradient |
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| 178 | CALL lbc_lnk( pgtru(:,:,jn) , 'U', -1. ) |
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| 179 | CALL lbc_lnk( pgtrv(:,:,jn) , 'V', -1. ) |
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| 180 | |
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| 181 | END DO |
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| 182 | |
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| 183 | END SUBROUTINE zps_hde_trc |
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| 184 | |
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| 185 | #else |
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| 186 | !!---------------------------------------------------------------------- |
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| 187 | !! Default option Empty module |
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| 188 | !!---------------------------------------------------------------------- |
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| 189 | USE par_kind |
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| 190 | CONTAINS |
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| 191 | SUBROUTINE zps_hde_trc ( kt, ptra, pgtru, pgtrv ) ! Empty routine |
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| 192 | INTEGER, INTENT( in) :: kt |
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| 193 | REAL(wp), DIMENSION(:,:,:,:) :: ptra |
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| 194 | REAL(wp) :: pgtru, pgtrv |
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| 195 | WRITE(*,*) 'zps_hde_trc: You should not have seen this print! error?', & |
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| 196 | kt, ptra, pgtru, pgtrv |
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| 197 | END SUBROUTINE zps_hde_trc |
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| 198 | #endif |
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| 199 | |
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| 200 | !!====================================================================== |
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| 201 | END MODULE zpshde_trc |
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