[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 |
---|
[5120] | 10 | !! 3.6 ! 2014-11 (P. Mathiot) Add zps_hde_isf (needed to open a cavity) |
---|
[2528] | 11 | !!====================================================================== |
---|
[457] | 12 | |
---|
[3] | 13 | !!---------------------------------------------------------------------- |
---|
| 14 | !! zps_hde : Horizontal DErivative of T, S and rd at the last |
---|
| 15 | !! ocean level (Z-coord. with Partial Steps) |
---|
| 16 | !!---------------------------------------------------------------------- |
---|
[2528] | 17 | USE oce ! ocean: dynamics and tracers variables |
---|
| 18 | USE dom_oce ! domain: ocean variables |
---|
[3] | 19 | USE phycst ! physical constants |
---|
[2528] | 20 | USE eosbn2 ! ocean equation of state |
---|
[3] | 21 | USE in_out_manager ! I/O manager |
---|
| 22 | USE lbclnk ! lateral boundary conditions (or mpp link) |
---|
[2715] | 23 | USE lib_mpp ! MPP library |
---|
[3294] | 24 | USE timing ! Timing |
---|
[3] | 25 | |
---|
| 26 | IMPLICIT NONE |
---|
| 27 | PRIVATE |
---|
| 28 | |
---|
[5120] | 29 | PUBLIC zps_hde ! routine called by step.F90 |
---|
| 30 | PUBLIC zps_hde_isf ! routine called by step.F90 |
---|
[3] | 31 | |
---|
| 32 | !! * Substitutions |
---|
[12377] | 33 | # include "do_loop_substitute.h90" |
---|
[13237] | 34 | # include "domzgr_substitute.h90" |
---|
[3] | 35 | !!---------------------------------------------------------------------- |
---|
[9598] | 36 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
---|
[2528] | 37 | !! $Id$ |
---|
[10068] | 38 | !! Software governed by the CeCILL license (see ./LICENSE) |
---|
[247] | 39 | !!---------------------------------------------------------------------- |
---|
[3] | 40 | CONTAINS |
---|
| 41 | |
---|
[12377] | 42 | SUBROUTINE zps_hde( kt, Kmm, kjpt, pta, pgtu, pgtv, & |
---|
[5120] | 43 | & prd, pgru, pgrv ) |
---|
| 44 | !!---------------------------------------------------------------------- |
---|
| 45 | !! *** ROUTINE zps_hde *** |
---|
| 46 | !! |
---|
| 47 | !! ** Purpose : Compute the horizontal derivative of T, S and rho |
---|
| 48 | !! at u- and v-points with a linear interpolation for z-coordinate |
---|
| 49 | !! with partial steps. |
---|
| 50 | !! |
---|
| 51 | !! ** Method : In z-coord with partial steps, scale factors on last |
---|
| 52 | !! levels are different for each grid point, so that T, S and rd |
---|
| 53 | !! points are not at the same depth as in z-coord. To have horizontal |
---|
| 54 | !! gradients again, we interpolate T and S at the good depth : |
---|
| 55 | !! Linear interpolation of T, S |
---|
| 56 | !! Computation of di(tb) and dj(tb) by vertical interpolation: |
---|
| 57 | !! di(t) = t~ - t(i,j,k) or t(i+1,j,k) - t~ |
---|
| 58 | !! dj(t) = t~ - t(i,j,k) or t(i,j+1,k) - t~ |
---|
| 59 | !! This formulation computes the two cases: |
---|
| 60 | !! CASE 1 CASE 2 |
---|
| 61 | !! k-1 ___ ___________ k-1 ___ ___________ |
---|
| 62 | !! Ti T~ T~ Ti+1 |
---|
| 63 | !! _____ _____ |
---|
| 64 | !! k | |Ti+1 k Ti | | |
---|
| 65 | !! | |____ ____| | |
---|
| 66 | !! ___ | | | ___ | | | |
---|
| 67 | !! |
---|
[13237] | 68 | !! case 1-> e3w(i+1,:,:,Kmm) >= e3w(i,:,:,Kmm) ( and e3w(:,j+1,:,Kmm) >= e3w(:,j,:,Kmm) ) then |
---|
| 69 | !! t~ = t(i+1,j ,k) + (e3w(i+1,j,k,Kmm) - e3w(i,j,k,Kmm)) * dk(Ti+1)/e3w(i+1,j,k,Kmm) |
---|
| 70 | !! ( t~ = t(i ,j+1,k) + (e3w(i,j+1,k,Kmm) - e3w(i,j,k,Kmm)) * dk(Tj+1)/e3w(i,j+1,k,Kmm) ) |
---|
[5120] | 71 | !! or |
---|
[13237] | 72 | !! case 2-> e3w(i+1,:,:,Kmm) <= e3w(i,:,:,Kmm) ( and e3w(:,j+1,:,Kmm) <= e3w(:,j,:,Kmm) ) then |
---|
| 73 | !! t~ = t(i,j,k) + (e3w(i,j,k,Kmm) - e3w(i+1,j,k,Kmm)) * dk(Ti)/e3w(i,j,k,Kmm) |
---|
| 74 | !! ( t~ = t(i,j,k) + (e3w(i,j,k,Kmm) - e3w(i,j+1,k,Kmm)) * dk(Tj)/e3w(i,j,k,Kmm) ) |
---|
[5120] | 75 | !! Idem for di(s) and dj(s) |
---|
| 76 | !! |
---|
| 77 | !! For rho, we call eos which will compute rd~(t~,s~) at the right |
---|
| 78 | !! depth zh from interpolated T and S for the different formulations |
---|
| 79 | !! of the equation of state (eos). |
---|
| 80 | !! Gradient formulation for rho : |
---|
| 81 | !! di(rho) = rd~ - rd(i,j,k) or rd(i+1,j,k) - rd~ |
---|
| 82 | !! |
---|
| 83 | !! ** Action : compute for top interfaces |
---|
| 84 | !! - pgtu, pgtv: horizontal gradient of tracer at u- & v-points |
---|
| 85 | !! - pgru, pgrv: horizontal gradient of rho (if present) at u- & v-points |
---|
| 86 | !!---------------------------------------------------------------------- |
---|
| 87 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
[12377] | 88 | INTEGER , INTENT(in ) :: Kmm ! ocean time level index |
---|
[5120] | 89 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
| 90 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: pta ! 4D tracers fields |
---|
| 91 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT( out) :: pgtu, pgtv ! hor. grad. of ptra at u- & v-pts |
---|
| 92 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ), OPTIONAL :: prd ! 3D density anomaly fields |
---|
| 93 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: pgru, pgrv ! hor. grad of prd at u- & v-pts (bottom) |
---|
| 94 | ! |
---|
[5836] | 95 | INTEGER :: ji, jj, jn ! Dummy loop indices |
---|
| 96 | INTEGER :: iku, ikv, ikum1, ikvm1 ! partial step level (ocean bottom level) at u- and v-points |
---|
| 97 | REAL(wp) :: ze3wu, ze3wv, zmaxu, zmaxv ! local scalars |
---|
| 98 | REAL(wp), DIMENSION(jpi,jpj) :: zri, zrj, zhi, zhj ! NB: 3rd dim=1 to use eos |
---|
| 99 | REAL(wp), DIMENSION(jpi,jpj,kjpt) :: zti, ztj ! |
---|
[5120] | 100 | !!---------------------------------------------------------------------- |
---|
| 101 | ! |
---|
[9019] | 102 | IF( ln_timing ) CALL timing_start( 'zps_hde') |
---|
[5120] | 103 | ! |
---|
[9019] | 104 | pgtu(:,:,:) = 0._wp ; zti (:,:,:) = 0._wp ; zhi (:,:) = 0._wp |
---|
| 105 | pgtv(:,:,:) = 0._wp ; ztj (:,:,:) = 0._wp ; zhj (:,:) = 0._wp |
---|
[5120] | 106 | ! |
---|
| 107 | DO jn = 1, kjpt !== Interpolation of tracers at the last ocean level ==! |
---|
| 108 | ! |
---|
[12377] | 109 | DO_2D_10_10 |
---|
| 110 | iku = mbku(ji,jj) ; ikum1 = MAX( iku - 1 , 1 ) ! last and before last ocean level at u- & v-points |
---|
| 111 | ikv = mbkv(ji,jj) ; ikvm1 = MAX( ikv - 1 , 1 ) ! if level first is a p-step, ik.m1=1 |
---|
[13237] | 112 | !!gm BUG ? when applied to before fields, e3w(:,:,k,Kbb) should be used.... |
---|
[12377] | 113 | ze3wu = e3w(ji+1,jj ,iku,Kmm) - e3w(ji,jj,iku,Kmm) |
---|
| 114 | ze3wv = e3w(ji ,jj+1,ikv,Kmm) - e3w(ji,jj,ikv,Kmm) |
---|
| 115 | ! |
---|
| 116 | ! i- direction |
---|
| 117 | IF( ze3wu >= 0._wp ) THEN ! case 1 |
---|
| 118 | zmaxu = ze3wu / e3w(ji+1,jj,iku,Kmm) |
---|
| 119 | ! interpolated values of tracers |
---|
| 120 | zti (ji,jj,jn) = pta(ji+1,jj,iku,jn) + zmaxu * ( pta(ji+1,jj,ikum1,jn) - pta(ji+1,jj,iku,jn) ) |
---|
| 121 | ! gradient of tracers |
---|
| 122 | pgtu(ji,jj,jn) = umask(ji,jj,1) * ( zti(ji,jj,jn) - pta(ji,jj,iku,jn) ) |
---|
| 123 | ELSE ! case 2 |
---|
| 124 | zmaxu = -ze3wu / e3w(ji,jj,iku,Kmm) |
---|
| 125 | ! interpolated values of tracers |
---|
| 126 | zti (ji,jj,jn) = pta(ji,jj,iku,jn) + zmaxu * ( pta(ji,jj,ikum1,jn) - pta(ji,jj,iku,jn) ) |
---|
| 127 | ! gradient of tracers |
---|
| 128 | pgtu(ji,jj,jn) = umask(ji,jj,1) * ( pta(ji+1,jj,iku,jn) - zti(ji,jj,jn) ) |
---|
| 129 | ENDIF |
---|
| 130 | ! |
---|
| 131 | ! j- direction |
---|
| 132 | IF( ze3wv >= 0._wp ) THEN ! case 1 |
---|
| 133 | zmaxv = ze3wv / e3w(ji,jj+1,ikv,Kmm) |
---|
| 134 | ! interpolated values of tracers |
---|
| 135 | ztj (ji,jj,jn) = pta(ji,jj+1,ikv,jn) + zmaxv * ( pta(ji,jj+1,ikvm1,jn) - pta(ji,jj+1,ikv,jn) ) |
---|
| 136 | ! gradient of tracers |
---|
| 137 | pgtv(ji,jj,jn) = vmask(ji,jj,1) * ( ztj(ji,jj,jn) - pta(ji,jj,ikv,jn) ) |
---|
| 138 | ELSE ! case 2 |
---|
| 139 | zmaxv = -ze3wv / e3w(ji,jj,ikv,Kmm) |
---|
| 140 | ! interpolated values of tracers |
---|
| 141 | ztj (ji,jj,jn) = pta(ji,jj,ikv,jn) + zmaxv * ( pta(ji,jj,ikvm1,jn) - pta(ji,jj,ikv,jn) ) |
---|
| 142 | ! gradient of tracers |
---|
| 143 | pgtv(ji,jj,jn) = vmask(ji,jj,1) * ( pta(ji,jj+1,ikv,jn) - ztj(ji,jj,jn) ) |
---|
| 144 | ENDIF |
---|
| 145 | END_2D |
---|
[5120] | 146 | END DO |
---|
[10425] | 147 | ! |
---|
[13226] | 148 | CALL lbc_lnk_multi( 'zpshde', pgtu(:,:,:), 'U', -1.0_wp , pgtv(:,:,:), 'V', -1.0_wp ) ! Lateral boundary cond. |
---|
[5836] | 149 | ! |
---|
| 150 | IF( PRESENT( prd ) ) THEN !== horizontal derivative of density anomalies (rd) ==! (optional part) |
---|
[7753] | 151 | pgru(:,:) = 0._wp |
---|
| 152 | pgrv(:,:) = 0._wp ! depth of the partial step level |
---|
[12377] | 153 | DO_2D_10_10 |
---|
| 154 | iku = mbku(ji,jj) |
---|
| 155 | ikv = mbkv(ji,jj) |
---|
| 156 | ze3wu = e3w(ji+1,jj ,iku,Kmm) - e3w(ji,jj,iku,Kmm) |
---|
| 157 | ze3wv = e3w(ji ,jj+1,ikv,Kmm) - e3w(ji,jj,ikv,Kmm) |
---|
| 158 | IF( ze3wu >= 0._wp ) THEN ; zhi(ji,jj) = gdept(ji ,jj,iku,Kmm) ! i-direction: case 1 |
---|
| 159 | ELSE ; zhi(ji,jj) = gdept(ji+1,jj,iku,Kmm) ! - - case 2 |
---|
| 160 | ENDIF |
---|
| 161 | IF( ze3wv >= 0._wp ) THEN ; zhj(ji,jj) = gdept(ji,jj ,ikv,Kmm) ! j-direction: case 1 |
---|
| 162 | ELSE ; zhj(ji,jj) = gdept(ji,jj+1,ikv,Kmm) ! - - case 2 |
---|
| 163 | ENDIF |
---|
| 164 | END_2D |
---|
[5836] | 165 | ! |
---|
| 166 | CALL eos( zti, zhi, zri ) ! interpolated density from zti, ztj |
---|
| 167 | CALL eos( ztj, zhj, zrj ) ! at the partial step depth output in zri, zrj |
---|
| 168 | ! |
---|
[12377] | 169 | DO_2D_10_10 |
---|
| 170 | iku = mbku(ji,jj) |
---|
| 171 | ikv = mbkv(ji,jj) |
---|
| 172 | ze3wu = e3w(ji+1,jj ,iku,Kmm) - e3w(ji,jj,iku,Kmm) |
---|
| 173 | ze3wv = e3w(ji ,jj+1,ikv,Kmm) - e3w(ji,jj,ikv,Kmm) |
---|
| 174 | IF( ze3wu >= 0._wp ) THEN ; pgru(ji,jj) = umask(ji,jj,1) * ( zri(ji ,jj ) - prd(ji,jj,iku) ) ! i: 1 |
---|
| 175 | ELSE ; pgru(ji,jj) = umask(ji,jj,1) * ( prd(ji+1,jj,iku) - zri(ji,jj ) ) ! i: 2 |
---|
| 176 | ENDIF |
---|
| 177 | IF( ze3wv >= 0._wp ) THEN ; pgrv(ji,jj) = vmask(ji,jj,1) * ( zrj(ji,jj ) - prd(ji,jj,ikv) ) ! j: 1 |
---|
| 178 | ELSE ; pgrv(ji,jj) = vmask(ji,jj,1) * ( prd(ji,jj+1,ikv) - zrj(ji,jj ) ) ! j: 2 |
---|
| 179 | ENDIF |
---|
| 180 | END_2D |
---|
[13226] | 181 | CALL lbc_lnk_multi( 'zpshde', pgru , 'U', -1.0_wp , pgrv , 'V', -1.0_wp ) ! Lateral boundary conditions |
---|
[5120] | 182 | ! |
---|
| 183 | END IF |
---|
| 184 | ! |
---|
[9019] | 185 | IF( ln_timing ) CALL timing_stop( 'zps_hde') |
---|
[5120] | 186 | ! |
---|
| 187 | END SUBROUTINE zps_hde |
---|
[9019] | 188 | |
---|
| 189 | |
---|
[12377] | 190 | SUBROUTINE zps_hde_isf( kt, Kmm, kjpt, pta, pgtu, pgtv, pgtui, pgtvi, & |
---|
[6140] | 191 | & prd, pgru, pgrv, pgrui, pgrvi ) |
---|
[3] | 192 | !!---------------------------------------------------------------------- |
---|
[6140] | 193 | !! *** ROUTINE zps_hde_isf *** |
---|
[3] | 194 | !! |
---|
[2528] | 195 | !! ** Purpose : Compute the horizontal derivative of T, S and rho |
---|
[3] | 196 | !! at u- and v-points with a linear interpolation for z-coordinate |
---|
[6140] | 197 | !! with partial steps for top (ice shelf) and bottom. |
---|
[3] | 198 | !! |
---|
| 199 | !! ** Method : In z-coord with partial steps, scale factors on last |
---|
| 200 | !! levels are different for each grid point, so that T, S and rd |
---|
| 201 | !! points are not at the same depth as in z-coord. To have horizontal |
---|
[6140] | 202 | !! gradients again, we interpolate T and S at the good depth : |
---|
| 203 | !! For the bottom case: |
---|
[3] | 204 | !! Linear interpolation of T, S |
---|
| 205 | !! Computation of di(tb) and dj(tb) by vertical interpolation: |
---|
| 206 | !! di(t) = t~ - t(i,j,k) or t(i+1,j,k) - t~ |
---|
| 207 | !! dj(t) = t~ - t(i,j,k) or t(i,j+1,k) - t~ |
---|
| 208 | !! This formulation computes the two cases: |
---|
| 209 | !! CASE 1 CASE 2 |
---|
| 210 | !! k-1 ___ ___________ k-1 ___ ___________ |
---|
| 211 | !! Ti T~ T~ Ti+1 |
---|
| 212 | !! _____ _____ |
---|
| 213 | !! k | |Ti+1 k Ti | | |
---|
| 214 | !! | |____ ____| | |
---|
| 215 | !! ___ | | | ___ | | | |
---|
| 216 | !! |
---|
[13237] | 217 | !! case 1-> e3w(i+1,j,k,Kmm) >= e3w(i,j,k,Kmm) ( and e3w(i,j+1,k,Kmm) >= e3w(i,j,k,Kmm) ) then |
---|
| 218 | !! t~ = t(i+1,j ,k) + (e3w(i+1,j ,k,Kmm) - e3w(i,j,k,Kmm)) * dk(Ti+1)/e3w(i+1,j ,k,Kmm) |
---|
| 219 | !! ( t~ = t(i ,j+1,k) + (e3w(i ,j+1,k,Kmm) - e3w(i,j,k,Kmm)) * dk(Tj+1)/e3w(i ,j+1,k,Kmm) ) |
---|
[3] | 220 | !! or |
---|
[13237] | 221 | !! case 2-> e3w(i+1,j,k,Kmm) <= e3w(i,j,k,Kmm) ( and e3w(i,j+1,k,Kmm) <= e3w(i,j,k,Kmm) ) then |
---|
| 222 | !! t~ = t(i,j,k) + (e3w(i,j,k,Kmm) - e3w(i+1,j ,k,Kmm)) * dk(Ti)/e3w(i,j,k,Kmm) |
---|
| 223 | !! ( t~ = t(i,j,k) + (e3w(i,j,k,Kmm) - e3w(i ,j+1,k,Kmm)) * dk(Tj)/e3w(i,j,k,Kmm) ) |
---|
[3] | 224 | !! Idem for di(s) and dj(s) |
---|
| 225 | !! |
---|
[4990] | 226 | !! For rho, we call eos which will compute rd~(t~,s~) at the right |
---|
| 227 | !! depth zh from interpolated T and S for the different formulations |
---|
| 228 | !! of the equation of state (eos). |
---|
[3] | 229 | !! Gradient formulation for rho : |
---|
[4990] | 230 | !! di(rho) = rd~ - rd(i,j,k) or rd(i+1,j,k) - rd~ |
---|
[3] | 231 | !! |
---|
[6140] | 232 | !! For the top case (ice shelf): As for the bottom case but upside down |
---|
| 233 | !! |
---|
[4990] | 234 | !! ** Action : compute for top and bottom interfaces |
---|
[5120] | 235 | !! - pgtu, pgtv, pgtui, pgtvi: horizontal gradient of tracer at u- & v-points |
---|
| 236 | !! - pgru, pgrv, pgrui, pgtvi: horizontal gradient of rho (if present) at u- & v-points |
---|
[2528] | 237 | !!---------------------------------------------------------------------- |
---|
[6140] | 238 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
[12377] | 239 | INTEGER , INTENT(in ) :: Kmm ! ocean time level index |
---|
[6140] | 240 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
| 241 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: pta ! 4D tracers fields |
---|
| 242 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT( out) :: pgtu, pgtv ! hor. grad. of ptra at u- & v-pts |
---|
| 243 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT( out) :: pgtui, pgtvi ! hor. grad. of stra at u- & v-pts (ISF) |
---|
| 244 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ), OPTIONAL :: prd ! 3D density anomaly fields |
---|
| 245 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: pgru, pgrv ! hor. grad of prd at u- & v-pts (bottom) |
---|
| 246 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: pgrui, pgrvi ! hor. grad of prd at u- & v-pts (top) |
---|
[2715] | 247 | ! |
---|
[2528] | 248 | INTEGER :: ji, jj, jn ! Dummy loop indices |
---|
[4990] | 249 | INTEGER :: iku, ikv, ikum1, ikvm1,ikup1, ikvp1 ! partial step level (ocean bottom level) at u- and v-points |
---|
[6140] | 250 | REAL(wp) :: ze3wu, ze3wv, zmaxu, zmaxv ! temporary scalars |
---|
[4990] | 251 | REAL(wp), DIMENSION(jpi,jpj) :: zri, zrj, zhi, zhj ! NB: 3rd dim=1 to use eos |
---|
| 252 | REAL(wp), DIMENSION(jpi,jpj,kjpt) :: zti, ztj ! |
---|
[3] | 253 | !!---------------------------------------------------------------------- |
---|
[3294] | 254 | ! |
---|
[9019] | 255 | IF( ln_timing ) CALL timing_start( 'zps_hde_isf') |
---|
[3294] | 256 | ! |
---|
[5836] | 257 | pgtu (:,:,:) = 0._wp ; pgtv (:,:,:) =0._wp |
---|
| 258 | pgtui(:,:,:) = 0._wp ; pgtvi(:,:,:) =0._wp |
---|
| 259 | zti (:,:,:) = 0._wp ; ztj (:,:,:) =0._wp |
---|
| 260 | zhi (:,: ) = 0._wp ; zhj (:,: ) =0._wp |
---|
[3294] | 261 | ! |
---|
[2528] | 262 | DO jn = 1, kjpt !== Interpolation of tracers at the last ocean level ==! |
---|
| 263 | ! |
---|
[12377] | 264 | DO_2D_10_10 |
---|
[6140] | 265 | |
---|
[12377] | 266 | iku = mbku(ji,jj); ikum1 = MAX( iku - 1 , 1 ) ! last and before last ocean level at u- & v-points |
---|
| 267 | ikv = mbkv(ji,jj); ikvm1 = MAX( ikv - 1 , 1 ) ! if level first is a p-step, ik.m1=1 |
---|
| 268 | ze3wu = gdept(ji+1,jj,iku,Kmm) - gdept(ji,jj,iku,Kmm) |
---|
| 269 | ze3wv = gdept(ji,jj+1,ikv,Kmm) - gdept(ji,jj,ikv,Kmm) |
---|
| 270 | ! |
---|
| 271 | ! i- direction |
---|
| 272 | IF( ze3wu >= 0._wp ) THEN ! case 1 |
---|
| 273 | zmaxu = ze3wu / e3w(ji+1,jj,iku,Kmm) |
---|
| 274 | ! interpolated values of tracers |
---|
| 275 | zti (ji,jj,jn) = pta(ji+1,jj,iku,jn) + zmaxu * ( pta(ji+1,jj,ikum1,jn) - pta(ji+1,jj,iku,jn) ) |
---|
| 276 | ! gradient of tracers |
---|
| 277 | pgtu(ji,jj,jn) = ssumask(ji,jj) * ( zti(ji,jj,jn) - pta(ji,jj,iku,jn) ) |
---|
| 278 | ELSE ! case 2 |
---|
| 279 | zmaxu = -ze3wu / e3w(ji,jj,iku,Kmm) |
---|
| 280 | ! interpolated values of tracers |
---|
| 281 | zti (ji,jj,jn) = pta(ji,jj,iku,jn) + zmaxu * ( pta(ji,jj,ikum1,jn) - pta(ji,jj,iku,jn) ) |
---|
| 282 | ! gradient of tracers |
---|
| 283 | pgtu(ji,jj,jn) = ssumask(ji,jj) * ( pta(ji+1,jj,iku,jn) - zti(ji,jj,jn) ) |
---|
| 284 | ENDIF |
---|
| 285 | ! |
---|
| 286 | ! j- direction |
---|
| 287 | IF( ze3wv >= 0._wp ) THEN ! case 1 |
---|
| 288 | zmaxv = ze3wv / e3w(ji,jj+1,ikv,Kmm) |
---|
| 289 | ! interpolated values of tracers |
---|
| 290 | ztj (ji,jj,jn) = pta(ji,jj+1,ikv,jn) + zmaxv * ( pta(ji,jj+1,ikvm1,jn) - pta(ji,jj+1,ikv,jn) ) |
---|
| 291 | ! gradient of tracers |
---|
| 292 | pgtv(ji,jj,jn) = ssvmask(ji,jj) * ( ztj(ji,jj,jn) - pta(ji,jj,ikv,jn) ) |
---|
| 293 | ELSE ! case 2 |
---|
| 294 | zmaxv = -ze3wv / e3w(ji,jj,ikv,Kmm) |
---|
| 295 | ! interpolated values of tracers |
---|
| 296 | ztj (ji,jj,jn) = pta(ji,jj,ikv,jn) + zmaxv * ( pta(ji,jj,ikvm1,jn) - pta(ji,jj,ikv,jn) ) |
---|
| 297 | ! gradient of tracers |
---|
| 298 | pgtv(ji,jj,jn) = ssvmask(ji,jj) * ( pta(ji,jj+1,ikv,jn) - ztj(ji,jj,jn) ) |
---|
| 299 | ENDIF |
---|
[6140] | 300 | |
---|
[12377] | 301 | END_2D |
---|
[2528] | 302 | END DO |
---|
[10425] | 303 | ! |
---|
[13226] | 304 | CALL lbc_lnk_multi( 'zpshde', pgtu(:,:,:), 'U', -1.0_wp , pgtv(:,:,:), 'V', -1.0_wp ) ! Lateral boundary cond. |
---|
[3] | 305 | |
---|
[6140] | 306 | ! horizontal derivative of density anomalies (rd) |
---|
| 307 | IF( PRESENT( prd ) ) THEN ! depth of the partial step level |
---|
| 308 | pgru(:,:)=0.0_wp ; pgrv(:,:)=0.0_wp ; |
---|
[5836] | 309 | ! |
---|
[12377] | 310 | DO_2D_10_10 |
---|
[6140] | 311 | |
---|
[12377] | 312 | iku = mbku(ji,jj) |
---|
| 313 | ikv = mbkv(ji,jj) |
---|
| 314 | ze3wu = gdept(ji+1,jj,iku,Kmm) - gdept(ji,jj,iku,Kmm) |
---|
| 315 | ze3wv = gdept(ji,jj+1,ikv,Kmm) - gdept(ji,jj,ikv,Kmm) |
---|
| 316 | ! |
---|
| 317 | IF( ze3wu >= 0._wp ) THEN ; zhi(ji,jj) = gdept(ji ,jj,iku,Kmm) ! i-direction: case 1 |
---|
| 318 | ELSE ; zhi(ji,jj) = gdept(ji+1,jj,iku,Kmm) ! - - case 2 |
---|
| 319 | ENDIF |
---|
| 320 | IF( ze3wv >= 0._wp ) THEN ; zhj(ji,jj) = gdept(ji,jj ,ikv,Kmm) ! j-direction: case 1 |
---|
| 321 | ELSE ; zhj(ji,jj) = gdept(ji,jj+1,ikv,Kmm) ! - - case 2 |
---|
| 322 | ENDIF |
---|
[6140] | 323 | |
---|
[12377] | 324 | END_2D |
---|
[3] | 325 | |
---|
[6140] | 326 | ! Compute interpolated rd from zti, ztj for the 2 cases at the depth of the partial |
---|
| 327 | ! step and store it in zri, zrj for each case |
---|
| 328 | CALL eos( zti, zhi, zri ) |
---|
| 329 | CALL eos( ztj, zhj, zrj ) |
---|
| 330 | |
---|
[12377] | 331 | DO_2D_10_10 |
---|
| 332 | iku = mbku(ji,jj) |
---|
| 333 | ikv = mbkv(ji,jj) |
---|
| 334 | ze3wu = gdept(ji+1,jj,iku,Kmm) - gdept(ji,jj,iku,Kmm) |
---|
| 335 | ze3wv = gdept(ji,jj+1,ikv,Kmm) - gdept(ji,jj,ikv,Kmm) |
---|
[6140] | 336 | |
---|
[12377] | 337 | IF( ze3wu >= 0._wp ) THEN ; pgru(ji,jj) = ssumask(ji,jj) * ( zri(ji ,jj ) - prd(ji,jj,iku) ) ! i: 1 |
---|
| 338 | ELSE ; pgru(ji,jj) = ssumask(ji,jj) * ( prd(ji+1,jj,iku) - zri(ji,jj ) ) ! i: 2 |
---|
| 339 | ENDIF |
---|
| 340 | IF( ze3wv >= 0._wp ) THEN ; pgrv(ji,jj) = ssvmask(ji,jj) * ( zrj(ji,jj ) - prd(ji,jj,ikv) ) ! j: 1 |
---|
| 341 | ELSE ; pgrv(ji,jj) = ssvmask(ji,jj) * ( prd(ji,jj+1,ikv) - zrj(ji,jj ) ) ! j: 2 |
---|
| 342 | ENDIF |
---|
[6140] | 343 | |
---|
[12377] | 344 | END_2D |
---|
[6140] | 345 | |
---|
[13226] | 346 | CALL lbc_lnk_multi( 'zpshde', pgru , 'U', -1.0_wp , pgrv , 'V', -1.0_wp ) ! Lateral boundary conditions |
---|
[4990] | 347 | ! |
---|
| 348 | END IF |
---|
[5836] | 349 | ! |
---|
| 350 | ! !== (ISH) compute grui and gruvi ==! |
---|
| 351 | ! |
---|
[4990] | 352 | DO jn = 1, kjpt !== Interpolation of tracers at the last ocean level ==! ! |
---|
[12377] | 353 | DO_2D_10_10 |
---|
| 354 | iku = miku(ji,jj); ikup1 = miku(ji,jj) + 1 |
---|
| 355 | ikv = mikv(ji,jj); ikvp1 = mikv(ji,jj) + 1 |
---|
| 356 | ! |
---|
| 357 | ! (ISF) case partial step top and bottom in adjacent cell in vertical |
---|
| 358 | ! cannot used e3w because if 2 cell water column, we have ps at top and bottom |
---|
[13237] | 359 | ! in this case e3w(i,j,k,Kmm) - e3w(i,j+1,k,Kmm) is not the distance between Tj~ and Tj |
---|
[12377] | 360 | ! the only common depth between cells (i,j) and (i,j+1) is gdepw_0 |
---|
| 361 | ze3wu = gdept(ji,jj,iku,Kmm) - gdept(ji+1,jj,iku,Kmm) |
---|
| 362 | ze3wv = gdept(ji,jj,ikv,Kmm) - gdept(ji,jj+1,ikv,Kmm) |
---|
[6140] | 363 | |
---|
[12377] | 364 | ! i- direction |
---|
| 365 | IF( ze3wu >= 0._wp ) THEN ! case 1 |
---|
| 366 | zmaxu = ze3wu / e3w(ji+1,jj,ikup1,Kmm) |
---|
| 367 | ! interpolated values of tracers |
---|
| 368 | zti(ji,jj,jn) = pta(ji+1,jj,iku,jn) + zmaxu * ( pta(ji+1,jj,ikup1,jn) - pta(ji+1,jj,iku,jn) ) |
---|
| 369 | ! gradient of tracers |
---|
| 370 | pgtui(ji,jj,jn) = ssumask(ji,jj) * ( zti(ji,jj,jn) - pta(ji,jj,iku,jn) ) |
---|
| 371 | ELSE ! case 2 |
---|
| 372 | zmaxu = - ze3wu / e3w(ji,jj,ikup1,Kmm) |
---|
| 373 | ! interpolated values of tracers |
---|
| 374 | zti(ji,jj,jn) = pta(ji,jj,iku,jn) + zmaxu * ( pta(ji,jj,ikup1,jn) - pta(ji,jj,iku,jn) ) |
---|
| 375 | ! gradient of tracers |
---|
| 376 | pgtui(ji,jj,jn) = ssumask(ji,jj) * ( pta(ji+1,jj,iku,jn) - zti(ji,jj,jn) ) |
---|
| 377 | ENDIF |
---|
| 378 | ! |
---|
| 379 | ! j- direction |
---|
| 380 | IF( ze3wv >= 0._wp ) THEN ! case 1 |
---|
| 381 | zmaxv = ze3wv / e3w(ji,jj+1,ikvp1,Kmm) |
---|
| 382 | ! interpolated values of tracers |
---|
| 383 | ztj(ji,jj,jn) = pta(ji,jj+1,ikv,jn) + zmaxv * ( pta(ji,jj+1,ikvp1,jn) - pta(ji,jj+1,ikv,jn) ) |
---|
| 384 | ! gradient of tracers |
---|
| 385 | pgtvi(ji,jj,jn) = ssvmask(ji,jj) * ( ztj(ji,jj,jn) - pta(ji,jj,ikv,jn) ) |
---|
| 386 | ELSE ! case 2 |
---|
| 387 | zmaxv = - ze3wv / e3w(ji,jj,ikvp1,Kmm) |
---|
| 388 | ! interpolated values of tracers |
---|
| 389 | ztj(ji,jj,jn) = pta(ji,jj,ikv,jn) + zmaxv * ( pta(ji,jj,ikvp1,jn) - pta(ji,jj,ikv,jn) ) |
---|
| 390 | ! gradient of tracers |
---|
| 391 | pgtvi(ji,jj,jn) = ssvmask(ji,jj) * ( pta(ji,jj+1,ikv,jn) - ztj(ji,jj,jn) ) |
---|
| 392 | ENDIF |
---|
[6140] | 393 | |
---|
[12377] | 394 | END_2D |
---|
[4990] | 395 | ! |
---|
| 396 | END DO |
---|
[13226] | 397 | CALL lbc_lnk_multi( 'zpshde', pgtui(:,:,:), 'U', -1.0_wp , pgtvi(:,:,:), 'V', -1.0_wp ) ! Lateral boundary cond. |
---|
[4990] | 398 | |
---|
[5836] | 399 | IF( PRESENT( prd ) ) THEN !== horizontal derivative of density anomalies (rd) ==! (optional part) |
---|
| 400 | ! |
---|
[6140] | 401 | pgrui(:,:) =0.0_wp; pgrvi(:,:) =0.0_wp; |
---|
[12377] | 402 | DO_2D_10_10 |
---|
[6140] | 403 | |
---|
[12377] | 404 | iku = miku(ji,jj) |
---|
| 405 | ikv = mikv(ji,jj) |
---|
| 406 | ze3wu = gdept(ji,jj,iku,Kmm) - gdept(ji+1,jj,iku,Kmm) |
---|
| 407 | ze3wv = gdept(ji,jj,ikv,Kmm) - gdept(ji,jj+1,ikv,Kmm) |
---|
| 408 | ! |
---|
| 409 | IF( ze3wu >= 0._wp ) THEN ; zhi(ji,jj) = gdept(ji ,jj,iku,Kmm) ! i-direction: case 1 |
---|
| 410 | ELSE ; zhi(ji,jj) = gdept(ji+1,jj,iku,Kmm) ! - - case 2 |
---|
| 411 | ENDIF |
---|
[6140] | 412 | |
---|
[12377] | 413 | IF( ze3wv >= 0._wp ) THEN ; zhj(ji,jj) = gdept(ji,jj ,ikv,Kmm) ! j-direction: case 1 |
---|
| 414 | ELSE ; zhj(ji,jj) = gdept(ji,jj+1,ikv,Kmm) ! - - case 2 |
---|
| 415 | ENDIF |
---|
[6140] | 416 | |
---|
[12377] | 417 | END_2D |
---|
[5836] | 418 | ! |
---|
| 419 | CALL eos( zti, zhi, zri ) ! interpolated density from zti, ztj |
---|
| 420 | CALL eos( ztj, zhj, zrj ) ! at the partial step depth output in zri, zrj |
---|
| 421 | ! |
---|
[12377] | 422 | DO_2D_10_10 |
---|
| 423 | iku = miku(ji,jj) |
---|
| 424 | ikv = mikv(ji,jj) |
---|
| 425 | ze3wu = gdept(ji,jj,iku,Kmm) - gdept(ji+1,jj,iku,Kmm) |
---|
| 426 | ze3wv = gdept(ji,jj,ikv,Kmm) - gdept(ji,jj+1,ikv,Kmm) |
---|
[6140] | 427 | |
---|
[12377] | 428 | IF( ze3wu >= 0._wp ) THEN ; pgrui(ji,jj) = ssumask(ji,jj) * ( zri(ji ,jj ) - prd(ji,jj,iku) ) ! i: 1 |
---|
| 429 | ELSE ; pgrui(ji,jj) = ssumask(ji,jj) * ( prd(ji+1,jj ,iku) - zri(ji,jj ) ) ! i: 2 |
---|
| 430 | ENDIF |
---|
| 431 | IF( ze3wv >= 0._wp ) THEN ; pgrvi(ji,jj) = ssvmask(ji,jj) * ( zrj(ji ,jj ) - prd(ji,jj,ikv) ) ! j: 1 |
---|
| 432 | ELSE ; pgrvi(ji,jj) = ssvmask(ji,jj) * ( prd(ji ,jj+1,ikv) - zrj(ji,jj ) ) ! j: 2 |
---|
| 433 | ENDIF |
---|
[6140] | 434 | |
---|
[12377] | 435 | END_2D |
---|
[13226] | 436 | CALL lbc_lnk_multi( 'zpshde', pgrui, 'U', -1.0_wp , pgrvi, 'V', -1.0_wp ) ! Lateral boundary conditions |
---|
[2528] | 437 | ! |
---|
[4990] | 438 | END IF |
---|
[2528] | 439 | ! |
---|
[9019] | 440 | IF( ln_timing ) CALL timing_stop( 'zps_hde_isf') |
---|
[2715] | 441 | ! |
---|
[5120] | 442 | END SUBROUTINE zps_hde_isf |
---|
[9019] | 443 | |
---|
[3] | 444 | !!====================================================================== |
---|
| 445 | END MODULE zpshde |
---|