[3] | 1 | MODULE zpshde |
---|
[2528] | 2 | !!====================================================================== |
---|
[3] | 3 | !! *** MODULE zpshde *** |
---|
[2528] | 4 | !! z-coordinate + partial step : Horizontal Derivative at ocean bottom level |
---|
| 5 | !!====================================================================== |
---|
| 6 | !! History : OPA ! 2002-04 (A. Bozec) Original code |
---|
| 7 | !! NEMO 1.0 ! 2002-08 (G. Madec E. Durand) Optimization and Free form |
---|
| 8 | !! - ! 2004-03 (C. Ethe) adapted for passive tracers |
---|
| 9 | !! 3.3 ! 2010-05 (C. Ethe, G. Madec) merge TRC-TRA |
---|
| 10 | !!====================================================================== |
---|
[457] | 11 | |
---|
[3] | 12 | !!---------------------------------------------------------------------- |
---|
| 13 | !! zps_hde : Horizontal DErivative of T, S and rd at the last |
---|
| 14 | !! ocean level (Z-coord. with Partial Steps) |
---|
| 15 | !!---------------------------------------------------------------------- |
---|
[2528] | 16 | USE oce ! ocean: dynamics and tracers variables |
---|
| 17 | USE dom_oce ! domain: ocean variables |
---|
[3] | 18 | USE phycst ! physical constants |
---|
[2528] | 19 | USE eosbn2 ! ocean equation of state |
---|
[3] | 20 | USE in_out_manager ! I/O manager |
---|
| 21 | USE lbclnk ! lateral boundary conditions (or mpp link) |
---|
[2715] | 22 | USE lib_mpp ! MPP library |
---|
[3294] | 23 | USE wrk_nemo ! Memory allocation |
---|
| 24 | USE timing ! Timing |
---|
[3] | 25 | |
---|
| 26 | IMPLICIT NONE |
---|
| 27 | PRIVATE |
---|
| 28 | |
---|
[2528] | 29 | PUBLIC zps_hde ! routine called by step.F90 |
---|
[3] | 30 | |
---|
| 31 | !! * Substitutions |
---|
| 32 | # include "domzgr_substitute.h90" |
---|
| 33 | # include "vectopt_loop_substitute.h90" |
---|
| 34 | !!---------------------------------------------------------------------- |
---|
[2528] | 35 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
---|
| 36 | !! $Id$ |
---|
| 37 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
---|
[247] | 38 | !!---------------------------------------------------------------------- |
---|
[3] | 39 | CONTAINS |
---|
| 40 | |
---|
[2528] | 41 | SUBROUTINE zps_hde( kt, kjpt, pta, pgtu, pgtv, & |
---|
| 42 | prd, pgru, pgrv ) |
---|
[3] | 43 | !!---------------------------------------------------------------------- |
---|
| 44 | !! *** ROUTINE zps_hde *** |
---|
| 45 | !! |
---|
[2528] | 46 | !! ** Purpose : Compute the horizontal derivative of T, S and rho |
---|
[3] | 47 | !! at u- and v-points with a linear interpolation for z-coordinate |
---|
| 48 | !! with partial steps. |
---|
| 49 | !! |
---|
| 50 | !! ** Method : In z-coord with partial steps, scale factors on last |
---|
| 51 | !! levels are different for each grid point, so that T, S and rd |
---|
| 52 | !! points are not at the same depth as in z-coord. To have horizontal |
---|
| 53 | !! gradients again, we interpolate T and S at the good depth : |
---|
| 54 | !! Linear interpolation of T, S |
---|
| 55 | !! Computation of di(tb) and dj(tb) by vertical interpolation: |
---|
| 56 | !! di(t) = t~ - t(i,j,k) or t(i+1,j,k) - t~ |
---|
| 57 | !! dj(t) = t~ - t(i,j,k) or t(i,j+1,k) - t~ |
---|
| 58 | !! This formulation computes the two cases: |
---|
| 59 | !! CASE 1 CASE 2 |
---|
| 60 | !! k-1 ___ ___________ k-1 ___ ___________ |
---|
| 61 | !! Ti T~ T~ Ti+1 |
---|
| 62 | !! _____ _____ |
---|
| 63 | !! k | |Ti+1 k Ti | | |
---|
| 64 | !! | |____ ____| | |
---|
| 65 | !! ___ | | | ___ | | | |
---|
| 66 | !! |
---|
| 67 | !! case 1-> e3w(i+1) >= e3w(i) ( and e3w(j+1) >= e3w(j) ) then |
---|
| 68 | !! t~ = t(i+1,j ,k) + (e3w(i+1) - e3w(i)) * dk(Ti+1)/e3w(i+1) |
---|
| 69 | !! ( t~ = t(i ,j+1,k) + (e3w(j+1) - e3w(j)) * dk(Tj+1)/e3w(j+1) ) |
---|
| 70 | !! or |
---|
| 71 | !! case 2-> e3w(i+1) <= e3w(i) ( and e3w(j+1) <= e3w(j) ) then |
---|
| 72 | !! t~ = t(i,j,k) + (e3w(i) - e3w(i+1)) * dk(Ti)/e3w(i ) |
---|
| 73 | !! ( t~ = t(i,j,k) + (e3w(j) - e3w(j+1)) * dk(Tj)/e3w(j ) ) |
---|
| 74 | !! Idem for di(s) and dj(s) |
---|
| 75 | !! |
---|
[87] | 76 | !! For rho, we call eos_insitu_2d which will compute rd~(t~,s~) at |
---|
[3] | 77 | !! the good depth zh from interpolated T and S for the different |
---|
| 78 | !! formulation of the equation of state (eos). |
---|
| 79 | !! Gradient formulation for rho : |
---|
[2528] | 80 | !! di(rho) = rd~ - rd(i,j,k) or rd(i+1,j,k) - rd~ |
---|
[3] | 81 | !! |
---|
[2528] | 82 | !! ** Action : - pgtu, pgtv: horizontal gradient of tracer at u- & v-points |
---|
| 83 | !! - pgru, pgrv: horizontal gradient of rho (if present) at u- & v-points |
---|
| 84 | !!---------------------------------------------------------------------- |
---|
[2715] | 85 | ! |
---|
[2528] | 86 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 87 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
| 88 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: pta ! 4D tracers fields |
---|
| 89 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT( out) :: pgtu, pgtv ! hor. grad. of ptra at u- & v-pts |
---|
| 90 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ), OPTIONAL :: prd ! 3D density anomaly fields |
---|
| 91 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: pgru, pgrv ! hor. grad. of prd at u- & v-pts |
---|
[2715] | 92 | ! |
---|
[2528] | 93 | INTEGER :: ji, jj, jn ! Dummy loop indices |
---|
| 94 | INTEGER :: iku, ikv, ikum1, ikvm1 ! partial step level (ocean bottom level) at u- and v-points |
---|
| 95 | REAL(wp) :: ze3wu, ze3wv, zmaxu, zmaxv ! temporary scalars |
---|
[3294] | 96 | REAL(wp), POINTER, DIMENSION(:,: ) :: zri, zrj, zhi, zhj |
---|
| 97 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zti, ztj ! interpolated value of tracer |
---|
[3] | 98 | !!---------------------------------------------------------------------- |
---|
[3294] | 99 | ! |
---|
| 100 | IF( nn_timing == 1 ) CALL timing_start( 'zps_hde') |
---|
| 101 | ! |
---|
| 102 | CALL wrk_alloc( jpi, jpj, zri, zrj, zhi, zhj ) |
---|
| 103 | CALL wrk_alloc( jpi, jpj, kjpt, zti, ztj ) |
---|
| 104 | ! |
---|
[2528] | 105 | DO jn = 1, kjpt !== Interpolation of tracers at the last ocean level ==! |
---|
| 106 | ! |
---|
| 107 | # if defined key_vectopt_loop |
---|
| 108 | jj = 1 |
---|
| 109 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolled) |
---|
| 110 | # else |
---|
[3] | 111 | DO jj = 1, jpjm1 |
---|
[2528] | 112 | DO ji = 1, jpim1 |
---|
| 113 | # endif |
---|
[2569] | 114 | iku = mbku(ji,jj) ; ikum1 = MAX( iku - 1 , 1 ) ! last and before last ocean level at u- & v-points |
---|
| 115 | ikv = mbkv(ji,jj) ; ikvm1 = MAX( ikv - 1 , 1 ) ! if level first is a p-step, ik.m1=1 |
---|
[2528] | 116 | ze3wu = fse3w(ji+1,jj ,iku) - fse3w(ji,jj,iku) |
---|
| 117 | ze3wv = fse3w(ji ,jj+1,ikv) - fse3w(ji,jj,ikv) |
---|
| 118 | ! |
---|
| 119 | ! i- direction |
---|
| 120 | IF( ze3wu >= 0._wp ) THEN ! case 1 |
---|
| 121 | zmaxu = ze3wu / fse3w(ji+1,jj,iku) |
---|
| 122 | ! interpolated values of tracers |
---|
| 123 | zti(ji,jj,jn) = pta(ji+1,jj,iku,jn) + zmaxu * ( pta(ji+1,jj,ikum1,jn) - pta(ji+1,jj,iku,jn) ) |
---|
| 124 | ! gradient of tracers |
---|
| 125 | pgtu(ji,jj,jn) = umask(ji,jj,1) * ( zti(ji,jj,jn) - pta(ji,jj,iku,jn) ) |
---|
| 126 | ELSE ! case 2 |
---|
| 127 | zmaxu = -ze3wu / fse3w(ji,jj,iku) |
---|
| 128 | ! interpolated values of tracers |
---|
| 129 | zti(ji,jj,jn) = pta(ji,jj,iku,jn) + zmaxu * ( pta(ji,jj,ikum1,jn) - pta(ji,jj,iku,jn) ) |
---|
| 130 | ! gradient of tracers |
---|
| 131 | pgtu(ji,jj,jn) = umask(ji,jj,1) * ( pta(ji+1,jj,iku,jn) - zti(ji,jj,jn) ) |
---|
| 132 | ENDIF |
---|
| 133 | ! |
---|
| 134 | ! j- direction |
---|
| 135 | IF( ze3wv >= 0._wp ) THEN ! case 1 |
---|
| 136 | zmaxv = ze3wv / fse3w(ji,jj+1,ikv) |
---|
| 137 | ! interpolated values of tracers |
---|
| 138 | ztj(ji,jj,jn) = pta(ji,jj+1,ikv,jn) + zmaxv * ( pta(ji,jj+1,ikvm1,jn) - pta(ji,jj+1,ikv,jn) ) |
---|
| 139 | ! gradient of tracers |
---|
| 140 | pgtv(ji,jj,jn) = vmask(ji,jj,1) * ( ztj(ji,jj,jn) - pta(ji,jj,ikv,jn) ) |
---|
| 141 | ELSE ! case 2 |
---|
| 142 | zmaxv = -ze3wv / fse3w(ji,jj,ikv) |
---|
| 143 | ! interpolated values of tracers |
---|
| 144 | ztj(ji,jj,jn) = pta(ji,jj,ikv,jn) + zmaxv * ( pta(ji,jj,ikvm1,jn) - pta(ji,jj,ikv,jn) ) |
---|
| 145 | ! gradient of tracers |
---|
| 146 | pgtv(ji,jj,jn) = vmask(ji,jj,1) * ( pta(ji,jj+1,ikv,jn) - ztj(ji,jj,jn) ) |
---|
| 147 | ENDIF |
---|
| 148 | # if ! defined key_vectopt_loop |
---|
[3] | 149 | END DO |
---|
[2528] | 150 | # endif |
---|
[3] | 151 | END DO |
---|
[2528] | 152 | CALL lbc_lnk( pgtu(:,:,jn), 'U', -1. ) ; CALL lbc_lnk( pgtv(:,:,jn), 'V', -1. ) ! Lateral boundary cond. |
---|
| 153 | ! |
---|
| 154 | END DO |
---|
[3] | 155 | |
---|
[2528] | 156 | ! horizontal derivative of density anomalies (rd) |
---|
| 157 | IF( PRESENT( prd ) ) THEN ! depth of the partial step level |
---|
[789] | 158 | # if defined key_vectopt_loop |
---|
[3] | 159 | jj = 1 |
---|
| 160 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolled) |
---|
| 161 | # else |
---|
[2528] | 162 | DO jj = 1, jpjm1 |
---|
| 163 | DO ji = 1, jpim1 |
---|
[3] | 164 | # endif |
---|
[2528] | 165 | iku = mbku(ji,jj) |
---|
| 166 | ikv = mbkv(ji,jj) |
---|
| 167 | ze3wu = fse3w(ji+1,jj ,iku) - fse3w(ji,jj,iku) |
---|
| 168 | ze3wv = fse3w(ji ,jj+1,ikv) - fse3w(ji,jj,ikv) |
---|
| 169 | IF( ze3wu >= 0._wp ) THEN ; zhi(ji,jj) = fsdept(ji ,jj,iku) ! i-direction: case 1 |
---|
| 170 | ELSE ; zhi(ji,jj) = fsdept(ji+1,jj,iku) ! - - case 2 |
---|
| 171 | ENDIF |
---|
| 172 | IF( ze3wv >= 0._wp ) THEN ; zhj(ji,jj) = fsdept(ji,jj ,ikv) ! j-direction: case 1 |
---|
| 173 | ELSE ; zhj(ji,jj) = fsdept(ji,jj+1,ikv) ! - - case 2 |
---|
| 174 | ENDIF |
---|
[789] | 175 | # if ! defined key_vectopt_loop |
---|
[2528] | 176 | END DO |
---|
| 177 | # endif |
---|
[3] | 178 | END DO |
---|
| 179 | |
---|
[2528] | 180 | ! Compute interpolated rd from zti, ztj for the 2 cases at the depth of the partial |
---|
| 181 | ! step and store it in zri, zrj for each case |
---|
[3294] | 182 | CALL eos( zti, zhi, zri ) |
---|
| 183 | CALL eos( ztj, zhj, zrj ) |
---|
[3] | 184 | |
---|
[2528] | 185 | ! Gradient of density at the last level |
---|
[789] | 186 | # if defined key_vectopt_loop |
---|
[3] | 187 | jj = 1 |
---|
| 188 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolled) |
---|
| 189 | # else |
---|
[2528] | 190 | DO jj = 1, jpjm1 |
---|
| 191 | DO ji = 1, jpim1 |
---|
[3] | 192 | # endif |
---|
[2528] | 193 | iku = mbku(ji,jj) |
---|
| 194 | ikv = mbkv(ji,jj) |
---|
| 195 | ze3wu = fse3w(ji+1,jj ,iku) - fse3w(ji,jj,iku) |
---|
| 196 | ze3wv = fse3w(ji ,jj+1,ikv) - fse3w(ji,jj,ikv) |
---|
| 197 | IF( ze3wu >= 0._wp ) THEN ; pgru(ji,jj) = umask(ji,jj,1) * ( zri(ji ,jj) - prd(ji,jj,iku) ) ! i: 1 |
---|
| 198 | ELSE ; pgru(ji,jj) = umask(ji,jj,1) * ( prd(ji+1,jj,iku) - zri(ji,jj) ) ! i: 2 |
---|
| 199 | ENDIF |
---|
| 200 | IF( ze3wv >= 0._wp ) THEN ; pgrv(ji,jj) = vmask(ji,jj,1) * ( zrj(ji,jj ) - prd(ji,jj,ikv) ) ! j: 1 |
---|
| 201 | ELSE ; pgrv(ji,jj) = vmask(ji,jj,1) * ( prd(ji,jj+1,ikv) - zrj(ji,jj) ) ! j: 2 |
---|
| 202 | ENDIF |
---|
[789] | 203 | # if ! defined key_vectopt_loop |
---|
[2528] | 204 | END DO |
---|
| 205 | # endif |
---|
[3] | 206 | END DO |
---|
[2528] | 207 | CALL lbc_lnk( pgru , 'U', -1. ) ; CALL lbc_lnk( pgrv , 'V', -1. ) ! Lateral boundary conditions |
---|
| 208 | ! |
---|
| 209 | END IF |
---|
| 210 | ! |
---|
[3294] | 211 | CALL wrk_dealloc( jpi, jpj, zri, zrj, zhi, zhj ) |
---|
| 212 | CALL wrk_dealloc( jpi, jpj, kjpt, zti, ztj ) |
---|
[2715] | 213 | ! |
---|
[3294] | 214 | IF( nn_timing == 1 ) CALL timing_stop( 'zps_hde') |
---|
[2715] | 215 | ! |
---|
[3] | 216 | END SUBROUTINE zps_hde |
---|
| 217 | |
---|
| 218 | !!====================================================================== |
---|
| 219 | END MODULE zpshde |
---|