| 1 | MODULE traldf_iso_tile |
|---|
| 2 | !!====================================================================== |
|---|
| 3 | !! *** MODULE traldf_iso *** |
|---|
| 4 | !! Ocean tracers: horizontal component of the lateral tracer mixing trend |
|---|
| 5 | !!====================================================================== |
|---|
| 6 | !! History : OPA ! 1994-08 (G. Madec, M. Imbard) |
|---|
| 7 | !! 8.0 ! 1997-05 (G. Madec) split into traldf and trazdf |
|---|
| 8 | !! NEMO ! 2002-08 (G. Madec) Free form, F90 |
|---|
| 9 | !! 1.0 ! 2005-11 (G. Madec) merge traldf and trazdf :-) |
|---|
| 10 | !! 3.3 ! 2010-09 (C. Ethe, G. Madec) Merge TRA-TRC |
|---|
| 11 | !! 3.7 ! 2014-01 (G. Madec, S. Masson) restructuration/simplification of aht/aeiv specification |
|---|
| 12 | !! - ! 2014-02 (F. Lemarie, G. Madec) triad operator (Griffies) + Method of Stabilizing Correction |
|---|
| 13 | !!---------------------------------------------------------------------- |
|---|
| 14 | |
|---|
| 15 | !!---------------------------------------------------------------------- |
|---|
| 16 | !! tra_ldf_iso_tile : update the tracer trend with the horizontal component of a iso-neutral laplacian operator |
|---|
| 17 | !! and with the vertical part of the isopycnal or geopotential s-coord. operator |
|---|
| 18 | !!---------------------------------------------------------------------- |
|---|
| 19 | USE par_kind |
|---|
| 20 | USE len_oce ! ocean dynamics and active tracers |
|---|
| 21 | USE tiletype |
|---|
| 22 | ! |
|---|
| 23 | USE in_out_manager ! I/O manager |
|---|
| 24 | |
|---|
| 25 | IMPLICIT NONE |
|---|
| 26 | |
|---|
| 27 | PUBLIC tra_ldf_iso_tile ! routine called by step.F90 |
|---|
| 28 | |
|---|
| 29 | !! * Substitutions |
|---|
| 30 | # include "vectopt_loop_substitute.h90" |
|---|
| 31 | !!---------------------------------------------------------------------- |
|---|
| 32 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
|---|
| 33 | !! $Id$ |
|---|
| 34 | !! Software governed by the CeCILL licence (./LICENSE) |
|---|
| 35 | !!---------------------------------------------------------------------- |
|---|
| 36 | CONTAINS |
|---|
| 37 | |
|---|
| 38 | SUBROUTINE tra_ldf_iso_tile( tile, ln_traldf_msc, ln_traldf_blp, ln_traldf_lap, ln_zps, ln_isfcav, kjpt, kpass, p2dt, & |
|---|
| 39 | & e1t, e1u, e1v, e2t, e2u, e2v, e1e2t, e1_e2v, e2_e1u, r1_e1e2t, mbku, mbkv, miku, mikv, & |
|---|
| 40 | & umask, vmask, wmask, e3t_n, e3u_n, e3v_n, e3w_n, wslpi, wslpj, uslp, vslp, & |
|---|
| 41 | & pahu, pahv, pgu, pgv, pgui, pgvi, ptb , ptbb, pta, & |
|---|
| 42 | & l_hst, l_ptr, pakz, pah_wslp2, pftu, pftv ) |
|---|
| 43 | |
|---|
| 44 | !!---------------------------------------------------------------------- |
|---|
| 45 | !! *** ROUTINE tra_ldf_iso_tile *** |
|---|
| 46 | !! |
|---|
| 47 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
|---|
| 48 | !! trend for a laplacian tensor (ezxcept the dz[ dz[.] ] term) and |
|---|
| 49 | !! add it to the general trend of tracer equation. |
|---|
| 50 | !! |
|---|
| 51 | !! ** Method : The horizontal component of the lateral diffusive trends |
|---|
| 52 | !! is provided by a 2nd order operator rotated along neural or geopo- |
|---|
| 53 | !! tential surfaces to which an eddy induced advection can be added |
|---|
| 54 | !! It is computed using before fields (forward in time) and isopyc- |
|---|
| 55 | !! nal or geopotential slopes computed in routine ldfslp. |
|---|
| 56 | !! |
|---|
| 57 | !! 1st part : masked horizontal derivative of T ( di[ t ] ) |
|---|
| 58 | !! ======== with partial cell update if ln_zps=T |
|---|
| 59 | !! with top cell update if ln_isfcav |
|---|
| 60 | !! |
|---|
| 61 | !! 2nd part : horizontal fluxes of the lateral mixing operator |
|---|
| 62 | !! ======== |
|---|
| 63 | !! zftu = pahu e2u*e3u/e1u di[ tb ] |
|---|
| 64 | !! - pahu e2u*uslp dk[ mi(mk(tb)) ] |
|---|
| 65 | !! zftv = pahv e1v*e3v/e2v dj[ tb ] |
|---|
| 66 | !! - pahv e2u*vslp dk[ mj(mk(tb)) ] |
|---|
| 67 | !! take the horizontal divergence of the fluxes: |
|---|
| 68 | !! difft = 1/(e1e2t*e3t) { di-1[ zftu ] + dj-1[ zftv ] } |
|---|
| 69 | !! Add this trend to the general trend (ta,sa): |
|---|
| 70 | !! ta = ta + difft |
|---|
| 71 | !! |
|---|
| 72 | !! 3rd part: vertical trends of the lateral mixing operator |
|---|
| 73 | !! ======== (excluding the vertical flux proportional to dk[t] ) |
|---|
| 74 | !! vertical fluxes associated with the rotated lateral mixing: |
|---|
| 75 | !! zftw = - { mi(mk(pahu)) * e2t*wslpi di[ mi(mk(tb)) ] |
|---|
| 76 | !! + mj(mk(pahv)) * e1t*wslpj dj[ mj(mk(tb)) ] } |
|---|
| 77 | !! take the horizontal divergence of the fluxes: |
|---|
| 78 | !! difft = 1/(e1e2t*e3t) dk[ zftw ] |
|---|
| 79 | !! Add this trend to the general trend (ta,sa): |
|---|
| 80 | !! pta = pta + difft |
|---|
| 81 | !! |
|---|
| 82 | !! ** Action : Update pta arrays with the before rotated diffusion |
|---|
| 83 | !!---------------------------------------------------------------------- |
|---|
| 84 | TYPE(tile_type) , INTENT(in ) :: tile |
|---|
| 85 | LOGICAL , INTENT(in ) :: ln_traldf_msc, ln_traldf_blp, ln_traldf_lap, ln_zps, ln_isfcav |
|---|
| 86 | INTEGER , INTENT(in ) :: kjpt ! number of tracers passed in |
|---|
| 87 | INTEGER , INTENT(in ) :: kpass ! =1/2 first or second passage |
|---|
| 88 | REAL(wp) , INTENT(in ) :: p2dt ! 2 . dt |
|---|
| 89 | REAL(wp), DIMENSION(jpi,jpj) , INTENT(in ) :: e1t, e1u, e1v, e2t, e2u, e2v, e1e2t, e1_e2v, e2_e1u, r1_e1e2t |
|---|
| 90 | INTEGER, DIMENSION(jpi,jpj) , INTENT(in ) :: mbku, mbkv, miku, mikv |
|---|
| 91 | REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT(in ) :: umask, vmask, wmask |
|---|
| 92 | REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT(in ) :: e3t_n, e3u_n, e3v_n, e3w_n, wslpi, wslpj, uslp, vslp |
|---|
| 93 | |
|---|
| 94 | REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT(in ) :: pahu, pahv ! eddy diffusivity at u- and v-points [m2/s] |
|---|
| 95 | REAL(wp), DIMENSION(jpi,jpj ,kjpt), INTENT(in ) :: pgu, pgv ! tracer gradient at pstep levels |
|---|
| 96 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT(in ) :: pgui, pgvi ! tracer gradient at top levels |
|---|
| 97 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! tracer (kpass=1) or laplacian of tracer (kpass=2) |
|---|
| 98 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptbb ! tracer (only used in kpass=2) |
|---|
| 99 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
|---|
| 100 | |
|---|
| 101 | LOGICAL , INTENT(in ) :: l_ptr ! flag to compute poleward transport |
|---|
| 102 | LOGICAL , INTENT(in ) :: l_hst ! flag to compute heat transport |
|---|
| 103 | REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT(inout) :: pakz, pah_wslp2 ! |
|---|
| 104 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pftu, pftv ! diagnostic outputs |
|---|
| 105 | |
|---|
| 106 | ! |
|---|
| 107 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
|---|
| 108 | INTEGER :: ikt |
|---|
| 109 | INTEGER :: ierr ! local integer |
|---|
| 110 | REAL(wp) :: zmsku, zahu_w, zabe1, zcof1, zcoef3 ! local scalars |
|---|
| 111 | REAL(wp) :: zmskv, zahv_w, zabe2, zcof2, zcoef4 ! - - |
|---|
| 112 | REAL(wp) :: zcoef0, ze3w_2, zsign, z2dt, z1_2dt ! - - |
|---|
| 113 | |
|---|
| 114 | REAL(wp) ,ALLOCATABLE, DIMENSION(:,:) :: zdkt, zdk1t, z2d ! Make these use global scratch at some point |
|---|
| 115 | REAL(wp) ,ALLOCATABLE, DIMENSION(:,:,:) :: zdit, zdjt, zftu, zftv, ztfw, zakz, zah_wslp2 |
|---|
| 116 | |
|---|
| 117 | ALLOCATE(zdkt (tile%jsih:tile%jeih, tile%jsjh:tile%jejh)) |
|---|
| 118 | ALLOCATE(zdk1t(tile%jsih:tile%jeih, tile%jsjh:tile%jejh)) |
|---|
| 119 | ALLOCATE(z2d (tile%jsih:tile%jeih, tile%jsjh:tile%jejh)) |
|---|
| 120 | |
|---|
| 121 | ALLOCATE(zdit( tile%jsih:tile%jeih, tile%jsjh:tile%jejh,tile%jskh:tile%jekh)) |
|---|
| 122 | ALLOCATE(zdjt( tile%jsih:tile%jeih, tile%jsjh:tile%jejh,tile%jskh:tile%jekh)) |
|---|
| 123 | ALLOCATE(zftu( tile%jsih:tile%jeih, tile%jsjh:tile%jejh,tile%jskh:tile%jekh)) |
|---|
| 124 | ALLOCATE(zftv( tile%jsih:tile%jeih, tile%jsjh:tile%jejh,tile%jskh:tile%jekh)) |
|---|
| 125 | ALLOCATE(ztfw( tile%jsih:tile%jeih, tile%jsjh:tile%jejh,tile%jskh:tile%jekh)) |
|---|
| 126 | ALLOCATE(zakz( tile%jsih:tile%jeih, tile%jsjh:tile%jejh,tile%jskh:tile%jekh)) |
|---|
| 127 | ALLOCATE(zah_wslp2(tile%jsih:tile%jeih, tile%jsjh:tile%jejh,tile%jskh:tile%jekh)) |
|---|
| 128 | |
|---|
| 129 | write(0,*)"tile%jsih",tile%jsih |
|---|
| 130 | write(0,*)"tile%jeih",tile%jeih |
|---|
| 131 | write(0,*)"tile%jsjh",tile%jsjh |
|---|
| 132 | write(0,*)"tile%jejh",tile%jejh |
|---|
| 133 | write(0,*)"tile%jskh",tile%jskh |
|---|
| 134 | write(0,*)"tile%jekh",tile%jekh |
|---|
| 135 | |
|---|
| 136 | !$ACC KERNELS |
|---|
| 137 | !!---------------------------------------------------------------------- |
|---|
| 138 | ! |
|---|
| 139 | ! |
|---|
| 140 | ! |
|---|
| 141 | ! ! set time step size (Euler/Leapfrog) |
|---|
| 142 | z1_2dt = 1._wp / p2dt ! note this was dependent on kt and neuler before |
|---|
| 143 | ! |
|---|
| 144 | IF( kpass == 1 ) THEN ; zsign = 1._wp ! bilaplacian operator require a minus sign (eddy diffusivity >0) |
|---|
| 145 | ELSE ; zsign = -1._wp |
|---|
| 146 | ENDIF |
|---|
| 147 | |
|---|
| 148 | !!---------------------------------------------------------------------- |
|---|
| 149 | !! 0 - calculate ah_wslp2 and akz |
|---|
| 150 | !!---------------------------------------------------------------------- |
|---|
| 151 | ! |
|---|
| 152 | IF( kpass == 1 ) THEN !== first pass only ==! |
|---|
| 153 | ! |
|---|
| 154 | DO jk = tile % jsk_2, tile % jekp1 |
|---|
| 155 | DO jj = tile % jsj, tile % jej |
|---|
| 156 | DO ji = tile % jsi, tile % jei ! vector opt. |
|---|
| 157 | |
|---|
| 158 | ! |
|---|
| 159 | zmsku = wmask(ji,jj,jk) / MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
|---|
| 160 | & + umask(ji-1,jj,jk-1) + umask(ji ,jj,jk) , 1._wp ) |
|---|
| 161 | zmskv = wmask(ji,jj,jk) / MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
|---|
| 162 | & + vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk) , 1._wp ) |
|---|
| 163 | ! |
|---|
| 164 | zahu_w = ( pahu(ji ,jj,jk-1) + pahu(ji-1,jj,jk) & |
|---|
| 165 | & + pahu(ji-1,jj,jk-1) + pahu(ji ,jj,jk) ) * zmsku |
|---|
| 166 | zahv_w = ( pahv(ji,jj ,jk-1) + pahv(ji,jj-1,jk) & |
|---|
| 167 | & + pahv(ji,jj-1,jk-1) + pahv(ji,jj ,jk) ) * zmskv |
|---|
| 168 | ! |
|---|
| 169 | zah_wslp2(ji,jj,jk) = zahu_w * wslpi(ji,jj,jk) * wslpi(ji,jj,jk) & |
|---|
| 170 | & + zahv_w * wslpj(ji,jj,jk) * wslpj(ji,jj,jk) |
|---|
| 171 | END DO |
|---|
| 172 | END DO |
|---|
| 173 | END DO |
|---|
| 174 | ! |
|---|
| 175 | IF( ln_traldf_msc ) THEN ! stabilizing vertical diffusivity coefficient |
|---|
| 176 | DO jk = tile % jsk_2, tile % jekp1 |
|---|
| 177 | DO jj = tile % jsj, tile % jej |
|---|
| 178 | DO ji = tile % jsi, tile % jei |
|---|
| 179 | zakz(ji,jj,jk) = 0.25_wp * ( & |
|---|
| 180 | & ( pahu(ji ,jj,jk) + pahu(ji ,jj,jk-1) ) / ( e1u(ji ,jj) * e1u(ji ,jj) ) & |
|---|
| 181 | & + ( pahu(ji-1,jj,jk) + pahu(ji-1,jj,jk-1) ) / ( e1u(ji-1,jj) * e1u(ji-1,jj) ) & |
|---|
| 182 | & + ( pahv(ji,jj ,jk) + pahv(ji,jj ,jk-1) ) / ( e2v(ji,jj ) * e2v(ji,jj ) ) & |
|---|
| 183 | & + ( pahv(ji,jj-1,jk) + pahv(ji,jj-1,jk-1) ) / ( e2v(ji,jj-1) * e2v(ji,jj-1) ) ) |
|---|
| 184 | END DO |
|---|
| 185 | END DO |
|---|
| 186 | END DO |
|---|
| 187 | ! |
|---|
| 188 | IF( ln_traldf_blp ) THEN ! bilaplacian operator |
|---|
| 189 | DO jk = tile % jsk_2, tile % jekp1 |
|---|
| 190 | DO jj = tile % jsj, tile % jej |
|---|
| 191 | DO ji = tile % jsi, tile % jei |
|---|
| 192 | zakz(ji,jj,jk) = 16._wp * zah_wslp2(ji,jj,jk) & |
|---|
| 193 | & * ( zakz(ji,jj,jk) + zah_wslp2(ji,jj,jk) / ( e3w_n(ji,jj,jk) * e3w_n(ji,jj,jk) ) ) |
|---|
| 194 | END DO |
|---|
| 195 | END DO |
|---|
| 196 | END DO |
|---|
| 197 | ELSEIF( ln_traldf_lap ) THEN ! laplacian operator |
|---|
| 198 | DO jk = tile % jsk_2, tile % jekp1 |
|---|
| 199 | DO jj = tile % jsj, tile % jej |
|---|
| 200 | DO ji = tile % jsi, tile % jei |
|---|
| 201 | ze3w_2 = e3w_n(ji,jj,jk) * e3w_n(ji,jj,jk) |
|---|
| 202 | zcoef0 = p2dt * ( zakz(ji,jj,jk) + zah_wslp2(ji,jj,jk) / ze3w_2 ) |
|---|
| 203 | zakz(ji,jj,jk) = MAX( zcoef0 - 0.5_wp , 0._wp ) * ze3w_2 * z1_2dt |
|---|
| 204 | END DO |
|---|
| 205 | END DO |
|---|
| 206 | END DO |
|---|
| 207 | ENDIF |
|---|
| 208 | ! |
|---|
| 209 | ELSE ! 33 flux set to zero with zakz=zah_wslp2 ==>> computed in full implicit |
|---|
| 210 | DO jk = tile % jsk_2, tile % jekp1 |
|---|
| 211 | DO jj = tile % jsj, tile % jej |
|---|
| 212 | DO ji = tile % jsi, tile % jei |
|---|
| 213 | zakz(ji,jj,jk) = zah_wslp2(ji,jj,jk) |
|---|
| 214 | END DO |
|---|
| 215 | END DO |
|---|
| 216 | END DO |
|---|
| 217 | ENDIF |
|---|
| 218 | ENDIF |
|---|
| 219 | |
|---|
| 220 | ! Save zakz and zah_wslp2 (private arrays) in non-overlapping elements of akz and ah_wslp2 arrays (for re-use in trazdf) |
|---|
| 221 | DO jk = tile % jsk, tile % jek |
|---|
| 222 | DO jj = tile % jsj, tile % jej |
|---|
| 223 | DO ji = tile % jsi, tile % jei |
|---|
| 224 | pakz(ji,jj,jk) = zakz(ji,jj,jk) ; pah_wslp2(ji,jj,jk) = zah_wslp2(ji,jj,jk) |
|---|
| 225 | END DO |
|---|
| 226 | END DO |
|---|
| 227 | END DO |
|---|
| 228 | |
|---|
| 229 | ! |
|---|
| 230 | ! ! =========== |
|---|
| 231 | DO jn = 1, kjpt ! tracer loop |
|---|
| 232 | ! ! =========== |
|---|
| 233 | ! |
|---|
| 234 | !!---------------------------------------------------------------------- |
|---|
| 235 | !! I - masked horizontal derivative |
|---|
| 236 | !!---------------------------------------------------------------------- |
|---|
| 237 | |
|---|
| 238 | ! Horizontal tracer gradient |
|---|
| 239 | DO jk = tile % jskm1, tile % jekp1 |
|---|
| 240 | DO jj = tile % jsjm1, tile % jej |
|---|
| 241 | DO ji = tile % jsim1, tile % jei ! vector opt. |
|---|
| 242 | zdit(ji,jj,jk) = ( ptb(ji+1,jj ,jk,jn) - ptb(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
|---|
| 243 | zdjt(ji,jj,jk) = ( ptb(ji ,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
|---|
| 244 | END DO |
|---|
| 245 | END DO |
|---|
| 246 | END DO |
|---|
| 247 | IF( ln_zps ) THEN ! botton and surface ocean correction of the horizontal gradient |
|---|
| 248 | DO jj = tile % jsjm1, tile % jej ! bottom correction (partial bottom cell) |
|---|
| 249 | DO ji = tile % jsim1, tile % jei ! vector opt. |
|---|
| 250 | IF( tile % jskm1 <= mbku(ji,jj) .AND. mbku(ji,jj) <= tile % jekp1 ) zdit(ji,jj,mbku(ji,jj)) = pgu(ji,jj,jn) |
|---|
| 251 | IF( tile % jskm1 <= mbkv(ji,jj) .AND. mbkv(ji,jj) <= tile % jekp1 ) zdjt(ji,jj,mbkv(ji,jj)) = pgv(ji,jj,jn) |
|---|
| 252 | END DO |
|---|
| 253 | END DO |
|---|
| 254 | IF( ln_isfcav ) THEN ! first wet level beneath a cavity |
|---|
| 255 | DO jj = tile % jsjm1, tile % jej |
|---|
| 256 | DO ji = tile % jsim1, tile % jei ! vector opt. |
|---|
| 257 | IF( tile % jskm1 <= miku(ji,jj) .AND. miku(ji,jj) <= tile % jekp1 ) zdit(ji,jj,miku(ji,jj)) = pgui(ji,jj,jn) |
|---|
| 258 | IF( tile % jskm1 <= mikv(ji,jj) .AND. mikv(ji,jj) <= tile % jekp1 ) zdjt(ji,jj,mikv(ji,jj)) = pgvi(ji,jj,jn) |
|---|
| 259 | END DO |
|---|
| 260 | END DO |
|---|
| 261 | ENDIF |
|---|
| 262 | ENDIF |
|---|
| 263 | ! |
|---|
| 264 | !!---------------------------------------------------------------------- |
|---|
| 265 | !! II - horizontal trend (full) |
|---|
| 266 | !!---------------------------------------------------------------------- |
|---|
| 267 | ! |
|---|
| 268 | DO jk = tile % jsk, tile % jek ! Horizontal slab |
|---|
| 269 | ! |
|---|
| 270 | ! !== Vertical tracer gradient (loops expanded for low-level tiling) |
|---|
| 271 | DO jj = tile % jsjm1, tile % jejp1 |
|---|
| 272 | DO ji = tile % jsim1, tile % jeip1 |
|---|
| 273 | zdk1t(ji,jj) = ( ptb(ji,jj,jk,jn) - ptb(ji,jj,jk+1,jn) ) * wmask(ji,jj,jk+1) ! level jk+1 |
|---|
| 274 | END DO |
|---|
| 275 | END DO |
|---|
| 276 | ! |
|---|
| 277 | IF( jk == 1 ) THEN |
|---|
| 278 | DO jj = tile % jsjm1, tile % jejp1 |
|---|
| 279 | DO ji = tile % jsim1, tile % jeip1 |
|---|
| 280 | zdkt(ji,jj) = zdk1t(ji,jj) ! surface: zdkt(jk=1)=zdkt(jk=2) |
|---|
| 281 | END DO |
|---|
| 282 | END DO |
|---|
| 283 | ELSE |
|---|
| 284 | DO jj = tile % jsjm1, tile % jejp1 |
|---|
| 285 | DO ji = tile % jsim1, tile % jeip1 |
|---|
| 286 | zdkt(ji,jj) = ( ptb(ji,jj,jk-1,jn) - ptb(ji,jj,jk,jn) ) * wmask(ji,jj,jk) |
|---|
| 287 | END DO |
|---|
| 288 | END DO |
|---|
| 289 | ENDIF |
|---|
| 290 | DO jj = tile % jsjm1, tile % jej !== Horizontal fluxes |
|---|
| 291 | DO ji = tile % jsim1, tile % jei ! vector opt. |
|---|
| 292 | zabe1 = pahu(ji,jj,jk) * e2_e1u(ji,jj) * e3u_n(ji,jj,jk) |
|---|
| 293 | zabe2 = pahv(ji,jj,jk) * e1_e2v(ji,jj) * e3v_n(ji,jj,jk) |
|---|
| 294 | ! |
|---|
| 295 | zmsku = 1._wp / MAX( wmask(ji+1,jj,jk ) + wmask(ji,jj,jk+1) & |
|---|
| 296 | & + wmask(ji+1,jj,jk+1) + wmask(ji,jj,jk ), 1._wp ) |
|---|
| 297 | ! |
|---|
| 298 | zmskv = 1._wp / MAX( wmask(ji,jj+1,jk ) + wmask(ji,jj,jk+1) & |
|---|
| 299 | & + wmask(ji,jj+1,jk+1) + wmask(ji,jj,jk ), 1._wp ) |
|---|
| 300 | ! |
|---|
| 301 | zcof1 = - pahu(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku |
|---|
| 302 | zcof2 = - pahv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv |
|---|
| 303 | ! |
|---|
| 304 | zftu(ji,jj,jk) = ( zabe1 * zdit(ji,jj,jk) & |
|---|
| 305 | & + zcof1 * ( zdkt (ji+1,jj) + zdk1t(ji,jj) & |
|---|
| 306 | & + zdk1t(ji+1,jj) + zdkt (ji,jj) ) ) * umask(ji,jj,jk) |
|---|
| 307 | zftv(ji,jj,jk) = ( zabe2 * zdjt(ji,jj,jk) & |
|---|
| 308 | & + zcof2 * ( zdkt (ji,jj+1) + zdk1t(ji,jj) & |
|---|
| 309 | & + zdk1t(ji,jj+1) + zdkt (ji,jj) ) ) * vmask(ji,jj,jk) |
|---|
| 310 | END DO |
|---|
| 311 | END DO |
|---|
| 312 | ! |
|---|
| 313 | DO jj = tile % jsj , tile % jej !== horizontal divergence and add to pta |
|---|
| 314 | DO ji = tile % jsi, tile % jei ! vector opt. |
|---|
| 315 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + zsign * ( zftu(ji,jj,jk) - zftu(ji-1,jj,jk) & |
|---|
| 316 | & + zftv(ji,jj,jk) - zftv(ji,jj-1,jk) ) & |
|---|
| 317 | & * r1_e1e2t(ji,jj) / e3t_n(ji,jj,jk) |
|---|
| 318 | END DO |
|---|
| 319 | END DO |
|---|
| 320 | END DO ! End of slab |
|---|
| 321 | |
|---|
| 322 | !!---------------------------------------------------------------------- |
|---|
| 323 | !! III - vertical trend (full) |
|---|
| 324 | !!---------------------------------------------------------------------- |
|---|
| 325 | ! |
|---|
| 326 | ! Vertical fluxes |
|---|
| 327 | ! --------------- |
|---|
| 328 | ! ! Surface and bottom vertical fluxes set to zero |
|---|
| 329 | IF ( tile % jsk == 1 ) THEN |
|---|
| 330 | DO jj = tile % jsj, tile % jej |
|---|
| 331 | DO ji = tile % jsi, tile % jei ! vector opt. |
|---|
| 332 | ztfw(ji,jj,1) = 0._wp |
|---|
| 333 | END DO |
|---|
| 334 | END DO |
|---|
| 335 | END IF |
|---|
| 336 | IF ( tile % jek == jpkm1 ) THEN |
|---|
| 337 | DO jj = tile % jsj, tile % jej |
|---|
| 338 | DO ji = tile % jsi, tile % jei ! vector opt. |
|---|
| 339 | ztfw(ji,jj,jpk) = 0._wp |
|---|
| 340 | END DO |
|---|
| 341 | END DO |
|---|
| 342 | END IF |
|---|
| 343 | |
|---|
| 344 | DO jk = tile % jsk_2, tile % jekp1 ! interior (2=<jk=<jpk-1) |
|---|
| 345 | DO jj = tile % jsj, tile % jej |
|---|
| 346 | DO ji = tile % jsi, tile % jei ! vector opt. |
|---|
| 347 | ! |
|---|
| 348 | zmsku = wmask(ji,jj,jk) / MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
|---|
| 349 | & + umask(ji-1,jj,jk-1) + umask(ji ,jj,jk) , 1._wp ) |
|---|
| 350 | zmskv = wmask(ji,jj,jk) / MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
|---|
| 351 | & + vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk) , 1._wp ) |
|---|
| 352 | ! |
|---|
| 353 | zahu_w = ( pahu(ji ,jj,jk-1) + pahu(ji-1,jj,jk) & |
|---|
| 354 | & + pahu(ji-1,jj,jk-1) + pahu(ji ,jj,jk) ) * zmsku |
|---|
| 355 | zahv_w = ( pahv(ji,jj ,jk-1) + pahv(ji,jj-1,jk) & |
|---|
| 356 | & + pahv(ji,jj-1,jk-1) + pahv(ji,jj ,jk) ) * zmskv |
|---|
| 357 | ! |
|---|
| 358 | zcoef3 = - zahu_w * e2t(ji,jj) * zmsku * wslpi (ji,jj,jk) !wslpi & j are already w-masked |
|---|
| 359 | zcoef4 = - zahv_w * e1t(ji,jj) * zmskv * wslpj (ji,jj,jk) |
|---|
| 360 | ! |
|---|
| 361 | ztfw(ji,jj,jk) = zcoef3 * ( zdit(ji ,jj ,jk-1) + zdit(ji-1,jj ,jk) & |
|---|
| 362 | & + zdit(ji-1,jj ,jk-1) + zdit(ji ,jj ,jk) ) & |
|---|
| 363 | & + zcoef4 * ( zdjt(ji ,jj ,jk-1) + zdjt(ji ,jj-1,jk) & |
|---|
| 364 | & + zdjt(ji ,jj-1,jk-1) + zdjt(ji ,jj ,jk) ) |
|---|
| 365 | END DO |
|---|
| 366 | END DO |
|---|
| 367 | END DO |
|---|
| 368 | |
|---|
| 369 | ! !== add the vertical 33 flux ==! |
|---|
| 370 | IF( ln_traldf_lap ) THEN ! laplacian case: eddy coef = zah_wslp2 - zakz |
|---|
| 371 | DO jk = tile % jsk_2, tile % jekp1 |
|---|
| 372 | DO jj = tile % jsj, tile % jej |
|---|
| 373 | DO ji = tile % jsi, tile % jei |
|---|
| 374 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) + e1e2t(ji,jj) / e3w_n(ji,jj,jk) * wmask(ji,jj,jk) & |
|---|
| 375 | & * ( zah_wslp2(ji,jj,jk) - zakz(ji,jj,jk) ) & |
|---|
| 376 | & * ( ptb(ji,jj,jk-1,jn) - ptb(ji,jj,jk,jn) ) |
|---|
| 377 | END DO |
|---|
| 378 | END DO |
|---|
| 379 | END DO |
|---|
| 380 | ! |
|---|
| 381 | ELSE ! bilaplacian |
|---|
| 382 | SELECT CASE( kpass ) |
|---|
| 383 | CASE( 1 ) ! 1st pass : eddy coef = zah_wslp2 |
|---|
| 384 | DO jk = tile % jsk_2, tile % jekp1 |
|---|
| 385 | DO jj = tile % jsj, tile % jej |
|---|
| 386 | DO ji = tile % jsi, tile % jei |
|---|
| 387 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) & |
|---|
| 388 | & + zah_wslp2(ji,jj,jk) * e1e2t(ji,jj) & |
|---|
| 389 | & * ( ptb(ji,jj,jk-1,jn) - ptb(ji,jj,jk,jn) ) / e3w_n(ji,jj,jk) * wmask(ji,jj,jk) |
|---|
| 390 | END DO |
|---|
| 391 | END DO |
|---|
| 392 | END DO |
|---|
| 393 | CASE( 2 ) ! 2nd pass : eddy flux = zah_wslp2 and akz applied on ptb and ptbb gradients, resp. |
|---|
| 394 | DO jk = tile % jsk_2, tile % jekp1 |
|---|
| 395 | DO jj = tile % jsj, tile % jej |
|---|
| 396 | DO ji = tile % jsi, tile % jei |
|---|
| 397 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) + e1e2t(ji,jj) / e3w_n(ji,jj,jk) * wmask(ji,jj,jk) & |
|---|
| 398 | & * ( zah_wslp2(ji,jj,jk) * ( ptb (ji,jj,jk-1,jn) - ptb (ji,jj,jk,jn) ) & |
|---|
| 399 | & + zakz(ji,jj,jk) * ( ptbb(ji,jj,jk-1,jn) - ptbb(ji,jj,jk,jn) ) ) |
|---|
| 400 | END DO |
|---|
| 401 | END DO |
|---|
| 402 | END DO |
|---|
| 403 | END SELECT |
|---|
| 404 | ENDIF |
|---|
| 405 | ! |
|---|
| 406 | DO jk = tile % jsk, tile % jek !== Divergence of vertical fluxes added to pta ==! |
|---|
| 407 | DO jj = tile % jsj, tile % jej |
|---|
| 408 | DO ji = tile % jsi, tile % jei ! vector opt. |
|---|
| 409 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + zsign * ( ztfw (ji,jj,jk) - ztfw(ji,jj,jk+1) ) & |
|---|
| 410 | & * r1_e1e2t(ji,jj) / e3t_n(ji,jj,jk) |
|---|
| 411 | END DO |
|---|
| 412 | END DO |
|---|
| 413 | END DO |
|---|
| 414 | ! |
|---|
| 415 | IF ( l_ptr .OR. l_hst ) THEN |
|---|
| 416 | DO jk = tile % jsk, tile % jek |
|---|
| 417 | DO jj = tile % jsj, tile % jej |
|---|
| 418 | DO ji = tile % jsi, tile % jei ! vector opt. |
|---|
| 419 | pftu(ji,jj,jk,jn) = zftu(ji,jj,jk) ; pftv(ji,jj,jk,jn) = zftv(ji,jj,jk) |
|---|
| 420 | END DO |
|---|
| 421 | END DO |
|---|
| 422 | END DO |
|---|
| 423 | END IF |
|---|
| 424 | |
|---|
| 425 | ! ! =============== |
|---|
| 426 | END DO ! end tracer loop |
|---|
| 427 | ! |
|---|
| 428 | !$ACC END KERNELS |
|---|
| 429 | END SUBROUTINE tra_ldf_iso_tile |
|---|
| 430 | |
|---|
| 431 | !!============================================================================== |
|---|
| 432 | END MODULE traldf_iso_tile |
|---|
