[5758] | 1 | MODULE traldf_triad |
---|
[2371] | 2 | !!====================================================================== |
---|
[5758] | 3 | !! *** MODULE traldf_triad *** |
---|
[2371] | 4 | !! Ocean tracers: horizontal component of the lateral tracer mixing trend |
---|
| 5 | !!====================================================================== |
---|
[5758] | 6 | !! History : 3.3 ! 2010-10 (G. Nurser, C. Harris, G. Madec) Griffies operator (original code) |
---|
| 7 | !! 3.7 ! 2013-12 (F. Lemarie, G. Madec) triad operator (Griffies) + Method of Stabilizing Correction |
---|
[2205] | 8 | !!---------------------------------------------------------------------- |
---|
[5758] | 9 | |
---|
[2205] | 10 | !!---------------------------------------------------------------------- |
---|
[5758] | 11 | !! tra_ldf_triad : update the tracer trend with the iso-neutral laplacian triad-operator |
---|
[2205] | 12 | !!---------------------------------------------------------------------- |
---|
| 13 | USE oce ! ocean dynamics and active tracers |
---|
| 14 | USE dom_oce ! ocean space and time domain |
---|
[2715] | 15 | USE phycst ! physical constants |
---|
[2454] | 16 | USE trc_oce ! share passive tracers/Ocean variables |
---|
| 17 | USE zdf_oce ! ocean vertical physics |
---|
[5758] | 18 | USE ldftra ! lateral physics: eddy diffusivity |
---|
| 19 | USE ldfslp ! lateral physics: iso-neutral slopes |
---|
| 20 | USE traldf_iso ! lateral diffusion (Madec operator) (tra_ldf_iso routine) |
---|
[2205] | 21 | USE diaptr ! poleward transport diagnostics |
---|
[5758] | 22 | USE zpshde ! partial step: hor. derivative (zps_hde routine) |
---|
| 23 | ! |
---|
[2454] | 24 | USE in_out_manager ! I/O manager |
---|
| 25 | USE iom ! I/O library |
---|
[2371] | 26 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
---|
[2715] | 27 | USE lib_mpp ! MPP library |
---|
[3294] | 28 | USE wrk_nemo ! Memory Allocation |
---|
| 29 | USE timing ! Timing |
---|
[2205] | 30 | |
---|
| 31 | IMPLICIT NONE |
---|
| 32 | PRIVATE |
---|
| 33 | |
---|
[5758] | 34 | PUBLIC tra_ldf_triad ! routine called by traldf.F90 |
---|
[2205] | 35 | |
---|
[5758] | 36 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE, SAVE :: zdkt3d !: vertical tracer gradient at 2 levels |
---|
[2371] | 37 | |
---|
[2205] | 38 | !! * Substitutions |
---|
| 39 | # include "domzgr_substitute.h90" |
---|
[2371] | 40 | # include "vectopt_loop_substitute.h90" |
---|
[2205] | 41 | !!---------------------------------------------------------------------- |
---|
[5758] | 42 | !! NEMO/OPA 3.7 , NEMO Consortium (2015) |
---|
[2287] | 43 | !! $Id$ |
---|
[2399] | 44 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
---|
[2205] | 45 | !!---------------------------------------------------------------------- |
---|
| 46 | CONTAINS |
---|
| 47 | |
---|
[5758] | 48 | SUBROUTINE tra_ldf_triad( kt, kit000, cdtype, pahu, pahv, pgu , pgv , & |
---|
| 49 | & pgui, pgvi, & |
---|
| 50 | & ptb , ptbb, pta , kjpt, kpass ) |
---|
[2450] | 51 | !!---------------------------------------------------------------------- |
---|
[5758] | 52 | !! *** ROUTINE tra_ldf_triad *** |
---|
[2450] | 53 | !! |
---|
[3294] | 54 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
---|
| 55 | !! trend for a laplacian tensor (ezxcept the dz[ dz[.] ] term) and |
---|
[2450] | 56 | !! add it to the general trend of tracer equation. |
---|
| 57 | !! |
---|
[3294] | 58 | !! ** Method : The horizontal component of the lateral diffusive trends |
---|
[2450] | 59 | !! is provided by a 2nd order operator rotated along neural or geopo- |
---|
| 60 | !! tential surfaces to which an eddy induced advection can be added |
---|
| 61 | !! It is computed using before fields (forward in time) and isopyc- |
---|
| 62 | !! nal or geopotential slopes computed in routine ldfslp. |
---|
| 63 | !! |
---|
[5758] | 64 | !! see documentation for the desciption |
---|
[2450] | 65 | !! |
---|
[5758] | 66 | !! ** Action : pta updated with the before rotated diffusion |
---|
| 67 | !! ah_wslp2 .... |
---|
| 68 | !! akz stabilizing vertical diffusivity coefficient (used in trazdf_imp) |
---|
[2450] | 69 | !!---------------------------------------------------------------------- |
---|
| 70 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
[3294] | 71 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
---|
[2450] | 72 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
| 73 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
[5758] | 74 | INTEGER , INTENT(in ) :: kpass ! =1/2 first or second passage |
---|
| 75 | REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT(in ) :: pahu, pahv ! eddy diffusivity at u- and v-points [m2/s] |
---|
[5777] | 76 | REAL(wp), DIMENSION(jpi,jpj ,kjpt), INTENT(in ) :: pgu , pgv ! tracer gradient at pstep levels |
---|
[5758] | 77 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT(in ) :: pgui, pgvi ! tracer gradient at top levels |
---|
| 78 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! tracer (kpass=1) or laplacian of tracer (kpass=2) |
---|
| 79 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptbb ! tracer (only used in kpass=2) |
---|
[3294] | 80 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
---|
[2715] | 81 | ! |
---|
[5758] | 82 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
---|
| 83 | INTEGER :: ip,jp,kp ! dummy loop indices |
---|
| 84 | INTEGER :: ierr ! local integer |
---|
| 85 | REAL(wp) :: zmsku, zabe1, zcof1, zcoef3 ! local scalars |
---|
| 86 | REAL(wp) :: zmskv, zabe2, zcof2, zcoef4 ! - - |
---|
| 87 | REAL(wp) :: zcoef0, ze3w_2, zsign, z2dt, z1_2dt ! - - |
---|
[2371] | 88 | ! |
---|
[2454] | 89 | REAL(wp) :: zslope_skew, zslope_iso, zslope2, zbu, zbv |
---|
[5758] | 90 | REAL(wp) :: ze1ur, ze2vr, ze3wr, zdxt, zdyt, zdzt |
---|
[2454] | 91 | REAL(wp) :: zah, zah_slp, zaei_slp |
---|
[5758] | 92 | #if defined key_diaar5 |
---|
| 93 | REAL(wp) :: zztmp ! local scalar |
---|
| 94 | #endif |
---|
| 95 | REAL(wp), POINTER, DIMENSION(:,: ) :: z2d ! 2D workspace |
---|
| 96 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zdit, zdjt, zftu, zftv, ztfw, zpsi_uw, zpsi_vw ! 3D - |
---|
[2205] | 97 | !!---------------------------------------------------------------------- |
---|
[3294] | 98 | ! |
---|
[5758] | 99 | IF( nn_timing == 1 ) CALL timing_start('tra_ldf_triad') |
---|
[3294] | 100 | ! |
---|
[5758] | 101 | CALL wrk_alloc( jpi,jpj, z2d ) |
---|
| 102 | CALL wrk_alloc( jpi,jpj,jpk, zdit, zdjt, zftu, zftv, ztfw, zpsi_uw, zpsi_vw ) |
---|
[3294] | 103 | ! |
---|
[5758] | 104 | IF( .NOT.ALLOCATED(zdkt3d) ) THEN |
---|
| 105 | ALLOCATE( zdkt3d(jpi,jpj,0:1) , STAT=ierr ) |
---|
[2715] | 106 | IF( lk_mpp ) CALL mpp_sum ( ierr ) |
---|
[5758] | 107 | IF( ierr > 0 ) CALL ctl_stop('STOP', 'tra_ldf_triad: unable to allocate arrays') |
---|
[2450] | 108 | ENDIF |
---|
[5758] | 109 | ! |
---|
| 110 | IF( kpass == 1 .AND. kt == kit000 ) THEN |
---|
| 111 | IF(lwp) WRITE(numout,*) |
---|
| 112 | IF(lwp) WRITE(numout,*) 'tra_ldf_triad : rotated laplacian diffusion operator on ', cdtype |
---|
| 113 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~' |
---|
| 114 | ENDIF |
---|
| 115 | ! |
---|
| 116 | ! ! set time step size (Euler/Leapfrog) |
---|
| 117 | IF( neuler == 0 .AND. kt == kit000 ) THEN ; z2dt = rdttra(1) ! at nit000 (Euler) |
---|
| 118 | ELSE ; z2dt = 2.* rdttra(1) ! (Leapfrog) |
---|
| 119 | ENDIF |
---|
| 120 | z1_2dt = 1._wp / z2dt |
---|
| 121 | ! |
---|
| 122 | IF( kpass == 1 ) THEN ; zsign = 1._wp ! bilaplacian operator require a minus sign (eddy diffusivity >0) |
---|
| 123 | ELSE ; zsign = -1._wp |
---|
| 124 | ENDIF |
---|
| 125 | |
---|
[2205] | 126 | !!---------------------------------------------------------------------- |
---|
[5758] | 127 | !! 0 - calculate ah_wslp2, akz, and optionally zpsi_uw, zpsi_vw |
---|
[2371] | 128 | !!---------------------------------------------------------------------- |
---|
[5758] | 129 | ! |
---|
| 130 | IF( kpass == 1 ) THEN !== first pass only and whatever the tracer is ==! |
---|
| 131 | ! |
---|
| 132 | akz (:,:,:) = 0._wp |
---|
| 133 | ah_wslp2(:,:,:) = 0._wp |
---|
| 134 | IF( ln_ldfeiv_dia ) THEN |
---|
| 135 | zpsi_uw(:,:,:) = 0._wp |
---|
| 136 | zpsi_vw(:,:,:) = 0._wp |
---|
| 137 | ENDIF |
---|
| 138 | ! |
---|
| 139 | DO ip = 0, 1 ! i-k triads |
---|
| 140 | DO kp = 0, 1 |
---|
| 141 | DO jk = 1, jpkm1 |
---|
| 142 | DO jj = 1, jpjm1 |
---|
| 143 | DO ji = 1, fs_jpim1 |
---|
| 144 | ze3wr = 1._wp / fse3w(ji+ip,jj,jk+kp) |
---|
| 145 | zbu = e1e2u(ji,jj) * fse3u(ji,jj,jk) |
---|
| 146 | zah = 0.25_wp * pahu(ji,jj,jk) |
---|
| 147 | zslope_skew = triadi_g(ji+ip,jj,jk,1-ip,kp) |
---|
| 148 | ! Subtract s-coordinate slope at t-points to give slope rel to s-surfaces (do this by *adding* gradient of depth) |
---|
| 149 | zslope2 = zslope_skew + ( fsdept(ji+1,jj,jk) - fsdept(ji,jj,jk) ) * r1_e1u(ji,jj) * umask(ji,jj,jk+kp) |
---|
| 150 | zslope2 = zslope2 *zslope2 |
---|
| 151 | ah_wslp2(ji+ip,jj,jk+kp) = ah_wslp2(ji+ip,jj,jk+kp) + zah * zbu * ze3wr * r1_e1e2t(ji+ip,jj) * zslope2 |
---|
| 152 | akz (ji+ip,jj,jk+kp) = akz (ji+ip,jj,jk+kp) + zah * r1_e1u(ji,jj) & |
---|
| 153 | & * r1_e1u(ji,jj) * umask(ji,jj,jk+kp) |
---|
| 154 | ! |
---|
| 155 | IF( ln_ldfeiv_dia ) zpsi_uw(ji,jj,jk+kp) = zpsi_uw(ji,jj,jk+kp) & |
---|
| 156 | & + 0.25_wp * aeiu(ji,jj,jk) * e2u(ji,jj) * zslope_skew |
---|
| 157 | END DO |
---|
[2450] | 158 | END DO |
---|
| 159 | END DO |
---|
| 160 | END DO |
---|
| 161 | END DO |
---|
[5758] | 162 | ! |
---|
| 163 | DO jp = 0, 1 ! j-k triads |
---|
| 164 | DO kp = 0, 1 |
---|
| 165 | DO jk = 1, jpkm1 |
---|
| 166 | DO jj = 1, jpjm1 |
---|
| 167 | DO ji = 1, fs_jpim1 |
---|
| 168 | ze3wr = 1.0_wp / fse3w(ji,jj+jp,jk+kp) |
---|
| 169 | zbv = e1e2v(ji,jj) * fse3v(ji,jj,jk) |
---|
| 170 | zah = 0.25_wp * pahv(ji,jj,jk) |
---|
| 171 | zslope_skew = triadj_g(ji,jj+jp,jk,1-jp,kp) |
---|
| 172 | ! Subtract s-coordinate slope at t-points to give slope rel to s surfaces |
---|
| 173 | ! (do this by *adding* gradient of depth) |
---|
| 174 | zslope2 = zslope_skew + ( fsdept(ji,jj+1,jk) - fsdept(ji,jj,jk) ) * r1_e2v(ji,jj) * vmask(ji,jj,jk+kp) |
---|
| 175 | zslope2 = zslope2 * zslope2 |
---|
| 176 | ah_wslp2(ji,jj+jp,jk+kp) = ah_wslp2(ji,jj+jp,jk+kp) + zah * zbv * ze3wr * r1_e1e2t(ji,jj+jp) * zslope2 |
---|
| 177 | akz (ji,jj+jp,jk+kp) = akz (ji,jj+jp,jk+kp) + zah * r1_e2v(ji,jj) & |
---|
| 178 | & * r1_e2v(ji,jj) * vmask(ji,jj,jk+kp) |
---|
| 179 | ! |
---|
| 180 | IF( ln_ldfeiv_dia ) zpsi_vw(ji,jj,jk+kp) = zpsi_vw(ji,jj,jk+kp) & |
---|
| 181 | & + 0.25 * aeiv(ji,jj,jk) * e1v(ji,jj) * zslope_skew |
---|
| 182 | END DO |
---|
[2450] | 183 | END DO |
---|
| 184 | END DO |
---|
| 185 | END DO |
---|
| 186 | END DO |
---|
[5147] | 187 | ! |
---|
[5758] | 188 | IF( ln_traldf_msc ) THEN ! stabilizing vertical diffusivity coefficient |
---|
| 189 | ! |
---|
| 190 | IF( ln_traldf_blp ) THEN ! bilaplacian operator |
---|
| 191 | DO jk = 2, jpkm1 |
---|
| 192 | DO jj = 1, jpjm1 |
---|
| 193 | DO ji = 1, fs_jpim1 |
---|
| 194 | akz(ji,jj,jk) = 16._wp * ah_wslp2(ji,jj,jk) & |
---|
| 195 | & * ( akz(ji,jj,jk) + ah_wslp2(ji,jj,jk) / ( fse3w(ji,jj,jk) * fse3w(ji,jj,jk) ) ) |
---|
| 196 | END DO |
---|
[5147] | 197 | END DO |
---|
[3294] | 198 | END DO |
---|
[5758] | 199 | ELSEIF( ln_traldf_lap ) THEN ! laplacian operator |
---|
| 200 | DO jk = 2, jpkm1 |
---|
| 201 | DO jj = 1, jpjm1 |
---|
| 202 | DO ji = 1, fs_jpim1 |
---|
| 203 | ze3w_2 = fse3w(ji,jj,jk) * fse3w(ji,jj,jk) |
---|
| 204 | zcoef0 = z2dt * ( akz(ji,jj,jk) + ah_wslp2(ji,jj,jk) / ze3w_2 ) |
---|
| 205 | akz(ji,jj,jk) = MAX( zcoef0 - 0.5_wp , 0._wp ) * ze3w_2 * z1_2dt |
---|
| 206 | END DO |
---|
| 207 | END DO |
---|
| 208 | END DO |
---|
| 209 | ENDIF |
---|
| 210 | ! |
---|
| 211 | ELSE ! 33 flux set to zero with akz=ah_wslp2 ==>> computed in full implicit |
---|
| 212 | akz(:,:,:) = ah_wslp2(:,:,:) |
---|
[5147] | 213 | ENDIF |
---|
| 214 | ! |
---|
[5758] | 215 | IF( ln_ldfeiv_dia .AND. cdtype == 'TRA' ) CALL ldf_eiv_dia( zpsi_uw, zpsi_vw ) |
---|
| 216 | ! |
---|
| 217 | ENDIF !== end 1st pass only ==! |
---|
| 218 | ! |
---|
| 219 | ! ! =========== |
---|
| 220 | DO jn = 1, kjpt ! tracer loop |
---|
| 221 | ! ! =========== |
---|
[2371] | 222 | ! Zero fluxes for each tracer |
---|
[5758] | 223 | !!gm this should probably be done outside the jn loop |
---|
[2371] | 224 | ztfw(:,:,:) = 0._wp |
---|
| 225 | zftu(:,:,:) = 0._wp |
---|
| 226 | zftv(:,:,:) = 0._wp |
---|
[3294] | 227 | ! |
---|
[5758] | 228 | DO jk = 1, jpkm1 !== before lateral T & S gradients at T-level jk ==! |
---|
[2371] | 229 | DO jj = 1, jpjm1 |
---|
| 230 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 231 | zdit(ji,jj,jk) = ( ptb(ji+1,jj ,jk,jn) - ptb(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
---|
| 232 | zdjt(ji,jj,jk) = ( ptb(ji ,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
---|
| 233 | END DO |
---|
[2205] | 234 | END DO |
---|
| 235 | END DO |
---|
[5758] | 236 | IF( ln_zps .AND. l_grad_zps ) THEN ! partial steps: correction at top/bottom ocean level |
---|
| 237 | DO jj = 1, jpjm1 ! bottom level |
---|
| 238 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[3294] | 239 | zdit(ji,jj,mbku(ji,jj)) = pgu(ji,jj,jn) |
---|
| 240 | zdjt(ji,jj,mbkv(ji,jj)) = pgv(ji,jj,jn) |
---|
[2371] | 241 | END DO |
---|
| 242 | END DO |
---|
[5758] | 243 | IF( ln_isfcav ) THEN ! top level (ocean cavities only) |
---|
| 244 | DO jj = 1, jpjm1 |
---|
| 245 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 246 | IF( miku(ji,jj) > 1 ) zdit(ji,jj,miku(ji,jj) ) = pgui(ji,jj,jn) |
---|
| 247 | IF( mikv(ji,jj) > 1 ) zdjt(ji,jj,mikv(ji,jj) ) = pgvi(ji,jj,jn) |
---|
| 248 | END DO |
---|
| 249 | END DO |
---|
| 250 | ENDIF |
---|
[2371] | 251 | ENDIF |
---|
[2205] | 252 | |
---|
[2371] | 253 | !!---------------------------------------------------------------------- |
---|
| 254 | !! II - horizontal trend (full) |
---|
| 255 | !!---------------------------------------------------------------------- |
---|
| 256 | ! |
---|
| 257 | DO jk = 1, jpkm1 |
---|
| 258 | ! |
---|
| 259 | ! !== Vertical tracer gradient at level jk and jk+1 |
---|
[3294] | 260 | zdkt3d(:,:,1) = ( ptb(:,:,jk,jn) - ptb(:,:,jk+1,jn) ) * tmask(:,:,jk+1) |
---|
[2371] | 261 | ! |
---|
[3294] | 262 | ! ! surface boundary condition: zdkt3d(jk=0)=zdkt3d(jk=1) |
---|
| 263 | IF( jk == 1 ) THEN ; zdkt3d(:,:,0) = zdkt3d(:,:,1) |
---|
| 264 | ELSE ; zdkt3d(:,:,0) = ( ptb(:,:,jk-1,jn) - ptb(:,:,jk,jn) ) * tmask(:,:,jk) |
---|
[2371] | 265 | ENDIF |
---|
[5758] | 266 | ! |
---|
| 267 | zaei_slp = 0._wp |
---|
| 268 | ! |
---|
| 269 | IF( ln_botmix_triad ) THEN |
---|
[3294] | 270 | DO ip = 0, 1 !== Horizontal & vertical fluxes |
---|
| 271 | DO kp = 0, 1 |
---|
| 272 | DO jj = 1, jpjm1 |
---|
| 273 | DO ji = 1, fs_jpim1 |
---|
[5758] | 274 | ze1ur = r1_e1u(ji,jj) |
---|
[3294] | 275 | zdxt = zdit(ji,jj,jk) * ze1ur |
---|
| 276 | ze3wr = 1._wp / fse3w(ji+ip,jj,jk+kp) |
---|
| 277 | zdzt = zdkt3d(ji+ip,jj,kp) * ze3wr |
---|
| 278 | zslope_skew = triadi_g(ji+ip,jj,jk,1-ip,kp) |
---|
[5758] | 279 | zslope_iso = triadi (ji+ip,jj,jk,1-ip,kp) |
---|
[2205] | 280 | |
---|
[5758] | 281 | zbu = 0.25_wp * e1e2u(ji,jj) * fse3u(ji,jj,jk) |
---|
| 282 | ! ln_botmix_triad is .T. don't mask zah for bottom half cells !!gm ????? ahu is masked.... |
---|
| 283 | zah = pahu(ji,jj,jk) |
---|
[3294] | 284 | zah_slp = zah * zslope_iso |
---|
[5758] | 285 | IF( ln_ldfeiv ) zaei_slp = aeiu(ji,jj,jk) * zslope_skew |
---|
| 286 | zftu(ji ,jj,jk ) = zftu(ji ,jj,jk ) - ( zah * zdxt + (zah_slp - zaei_slp) * zdzt ) * zbu * ze1ur |
---|
| 287 | ztfw(ji+ip,jj,jk+kp) = ztfw(ji+ip,jj,jk+kp) - ( zah_slp + zaei_slp) * zdxt * zbu * ze3wr |
---|
[3294] | 288 | END DO |
---|
[2371] | 289 | END DO |
---|
| 290 | END DO |
---|
| 291 | END DO |
---|
[2205] | 292 | |
---|
[3294] | 293 | DO jp = 0, 1 |
---|
| 294 | DO kp = 0, 1 |
---|
| 295 | DO jj = 1, jpjm1 |
---|
| 296 | DO ji = 1, fs_jpim1 |
---|
[5758] | 297 | ze2vr = r1_e2v(ji,jj) |
---|
[3294] | 298 | zdyt = zdjt(ji,jj,jk) * ze2vr |
---|
| 299 | ze3wr = 1._wp / fse3w(ji,jj+jp,jk+kp) |
---|
| 300 | zdzt = zdkt3d(ji,jj+jp,kp) * ze3wr |
---|
| 301 | zslope_skew = triadj_g(ji,jj+jp,jk,1-jp,kp) |
---|
| 302 | zslope_iso = triadj(ji,jj+jp,jk,1-jp,kp) |
---|
[5758] | 303 | zbv = 0.25_wp * e1e2v(ji,jj) * fse3v(ji,jj,jk) |
---|
| 304 | ! ln_botmix_triad is .T. don't mask zah for bottom half cells !!gm ????? ahv is masked... |
---|
| 305 | zah = pahv(ji,jj,jk) |
---|
[3294] | 306 | zah_slp = zah * zslope_iso |
---|
[5758] | 307 | IF( ln_ldfeiv ) zaei_slp = aeiv(ji,jj,jk) * zslope_skew |
---|
| 308 | zftv(ji,jj ,jk ) = zftv(ji,jj ,jk ) - ( zah * zdyt + (zah_slp - zaei_slp) * zdzt ) * zbv * ze2vr |
---|
| 309 | ztfw(ji,jj+jp,jk+kp) = ztfw(ji,jj+jp,jk+kp) - ( zah_slp + zaei_slp ) * zdyt * zbv * ze3wr |
---|
[3294] | 310 | END DO |
---|
[2371] | 311 | END DO |
---|
| 312 | END DO |
---|
| 313 | END DO |
---|
[5758] | 314 | |
---|
[3294] | 315 | ELSE |
---|
[5758] | 316 | |
---|
| 317 | DO ip = 0, 1 !== Horizontal & vertical fluxes |
---|
[3294] | 318 | DO kp = 0, 1 |
---|
| 319 | DO jj = 1, jpjm1 |
---|
| 320 | DO ji = 1, fs_jpim1 |
---|
[5758] | 321 | ze1ur = r1_e1u(ji,jj) |
---|
[3294] | 322 | zdxt = zdit(ji,jj,jk) * ze1ur |
---|
| 323 | ze3wr = 1._wp / fse3w(ji+ip,jj,jk+kp) |
---|
| 324 | zdzt = zdkt3d(ji+ip,jj,kp) * ze3wr |
---|
| 325 | zslope_skew = triadi_g(ji+ip,jj,jk,1-ip,kp) |
---|
| 326 | zslope_iso = triadi(ji+ip,jj,jk,1-ip,kp) |
---|
[2205] | 327 | |
---|
[5758] | 328 | zbu = 0.25_wp * e1e2u(ji,jj) * fse3u(ji,jj,jk) |
---|
| 329 | ! ln_botmix_triad is .F. mask zah for bottom half cells |
---|
| 330 | zah = pahu(ji,jj,jk) * umask(ji,jj,jk+kp) ! pahu(ji+ip,jj,jk) ===>> ???? |
---|
[3294] | 331 | zah_slp = zah * zslope_iso |
---|
[5758] | 332 | IF( ln_ldfeiv ) zaei_slp = aeiu(ji,jj,jk) * zslope_skew ! fsaeit(ji+ip,jj,jk)*zslope_skew |
---|
| 333 | zftu(ji ,jj,jk ) = zftu(ji ,jj,jk ) - ( zah * zdxt + (zah_slp - zaei_slp) * zdzt ) * zbu * ze1ur |
---|
[3294] | 334 | ztfw(ji+ip,jj,jk+kp) = ztfw(ji+ip,jj,jk+kp) - (zah_slp + zaei_slp) * zdxt * zbu * ze3wr |
---|
| 335 | END DO |
---|
| 336 | END DO |
---|
| 337 | END DO |
---|
| 338 | END DO |
---|
| 339 | |
---|
| 340 | DO jp = 0, 1 |
---|
| 341 | DO kp = 0, 1 |
---|
| 342 | DO jj = 1, jpjm1 |
---|
| 343 | DO ji = 1, fs_jpim1 |
---|
[5758] | 344 | ze2vr = r1_e2v(ji,jj) |
---|
[3294] | 345 | zdyt = zdjt(ji,jj,jk) * ze2vr |
---|
| 346 | ze3wr = 1._wp / fse3w(ji,jj+jp,jk+kp) |
---|
| 347 | zdzt = zdkt3d(ji,jj+jp,kp) * ze3wr |
---|
| 348 | zslope_skew = triadj_g(ji,jj+jp,jk,1-jp,kp) |
---|
| 349 | zslope_iso = triadj(ji,jj+jp,jk,1-jp,kp) |
---|
[5758] | 350 | zbv = 0.25_wp * e1e2v(ji,jj) * fse3v(ji,jj,jk) |
---|
| 351 | ! ln_botmix_triad is .F. mask zah for bottom half cells |
---|
| 352 | zah = pahv(ji,jj,jk) * vmask(ji,jj,jk+kp) ! pahv(ji,jj+jp,jk) ???? |
---|
[3294] | 353 | zah_slp = zah * zslope_iso |
---|
[5758] | 354 | IF( ln_ldfeiv ) zaei_slp = aeiv(ji,jj,jk) * zslope_skew ! fsaeit(ji,jj+jp,jk)*zslope_skew |
---|
[3294] | 355 | zftv(ji,jj,jk) = zftv(ji,jj,jk) - ( zah * zdyt + (zah_slp - zaei_slp) * zdzt ) * zbv * ze2vr |
---|
| 356 | ztfw(ji,jj+jp,jk+kp) = ztfw(ji,jj+jp,jk+kp) - (zah_slp + zaei_slp) * zdyt * zbv * ze3wr |
---|
| 357 | END DO |
---|
| 358 | END DO |
---|
| 359 | END DO |
---|
| 360 | END DO |
---|
[5758] | 361 | ENDIF |
---|
| 362 | ! !== horizontal divergence and add to the general trend ==! |
---|
[2450] | 363 | DO jj = 2 , jpjm1 |
---|
[3294] | 364 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5758] | 365 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + zsign * ( zftu(ji-1,jj,jk) - zftu(ji,jj,jk) & |
---|
| 366 | & + zftv(ji,jj-1,jk) - zftv(ji,jj,jk) ) & |
---|
| 367 | & / ( e1e2t(ji,jj) * fse3t(ji,jj,jk) ) |
---|
[2450] | 368 | END DO |
---|
| 369 | END DO |
---|
| 370 | ! |
---|
| 371 | END DO |
---|
| 372 | ! |
---|
[5758] | 373 | ! !== add the vertical 33 flux ==! |
---|
| 374 | IF( ln_traldf_lap ) THEN ! laplacian case: eddy coef = ah_wslp2 - akz |
---|
| 375 | DO jk = 2, jpkm1 |
---|
| 376 | DO jj = 1, jpjm1 |
---|
| 377 | DO ji = fs_2, fs_jpim1 |
---|
| 378 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) - e1e2t(ji,jj) / fse3w(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 379 | & * ( ah_wslp2(ji,jj,jk) - akz(ji,jj,jk) ) & |
---|
| 380 | & * ( ptb(ji,jj,jk-1,jn) - ptb(ji,jj,jk,jn) ) |
---|
| 381 | END DO |
---|
| 382 | END DO |
---|
| 383 | END DO |
---|
| 384 | ELSE ! bilaplacian |
---|
| 385 | SELECT CASE( kpass ) |
---|
| 386 | CASE( 1 ) ! 1st pass : eddy coef = ah_wslp2 |
---|
| 387 | DO jk = 2, jpkm1 |
---|
| 388 | DO jj = 1, jpjm1 |
---|
| 389 | DO ji = fs_2, fs_jpim1 |
---|
| 390 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) - e1e2t(ji,jj) / fse3w(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 391 | & * ah_wslp2(ji,jj,jk) * ( ptb(ji,jj,jk-1,jn) - ptb(ji,jj,jk,jn) ) |
---|
| 392 | END DO |
---|
| 393 | END DO |
---|
| 394 | END DO |
---|
| 395 | CASE( 2 ) ! 2nd pass : eddy flux = ah_wslp2 and akz applied on ptb and ptbb gradients, resp. |
---|
| 396 | DO jk = 2, jpkm1 |
---|
| 397 | DO jj = 1, jpjm1 |
---|
| 398 | DO ji = fs_2, fs_jpim1 |
---|
| 399 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) - e1e2t(ji,jj) / fse3w(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 400 | & * ( ah_wslp2(ji,jj,jk) * ( ptb (ji,jj,jk-1,jn) - ptb (ji,jj,jk,jn) ) & |
---|
| 401 | & + akz (ji,jj,jk) * ( ptbb(ji,jj,jk-1,jn) - ptbb(ji,jj,jk,jn) ) ) |
---|
| 402 | END DO |
---|
| 403 | END DO |
---|
| 404 | END DO |
---|
| 405 | END SELECT |
---|
| 406 | ENDIF |
---|
| 407 | ! |
---|
| 408 | DO jk = 1, jpkm1 !== Divergence of vertical fluxes added to pta ==! |
---|
[2450] | 409 | DO jj = 2, jpjm1 |
---|
[3294] | 410 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5758] | 411 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + zsign * ( ztfw(ji,jj,jk+1) - ztfw(ji,jj,jk) ) & |
---|
| 412 | & / ( e1e2t(ji,jj) * fse3t(ji,jj,jk) ) |
---|
[2450] | 413 | END DO |
---|
| 414 | END DO |
---|
| 415 | END DO |
---|
| 416 | ! |
---|
[5758] | 417 | IF( ( kpass == 1 .AND. ln_traldf_lap ) .OR. & !== first pass only ( laplacian) ==! |
---|
| 418 | ( kpass == 2 .AND. ln_traldf_blp ) ) THEN !== 2nd pass (bilaplacian) ==! |
---|
| 419 | ! |
---|
| 420 | ! ! "Poleward" diffusive heat or salt transports (T-S case only) |
---|
| 421 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
---|
| 422 | IF( jn == jp_tem) htr_ldf(:) = ptr_sj( zftv(:,:,:) ) ! 3.3 names |
---|
| 423 | IF( jn == jp_sal) str_ldf(:) = ptr_sj( zftv(:,:,:) ) |
---|
| 424 | ENDIF |
---|
| 425 | ! |
---|
| 426 | IF( iom_use("udiff_heattr") .OR. iom_use("vdiff_heattr") ) THEN |
---|
| 427 | ! |
---|
| 428 | IF( cdtype == 'TRA' .AND. jn == jp_tem ) THEN |
---|
| 429 | z2d(:,:) = zftu(ji,jj,1) |
---|
| 430 | DO jk = 2, jpkm1 |
---|
| 431 | DO jj = 2, jpjm1 |
---|
| 432 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 433 | z2d(ji,jj) = z2d(ji,jj) + zftu(ji,jj,jk) |
---|
| 434 | END DO |
---|
[5147] | 435 | END DO |
---|
[2450] | 436 | END DO |
---|
[5758] | 437 | z2d(:,:) = rau0_rcp * z2d(:,:) |
---|
| 438 | CALL lbc_lnk( z2d, 'U', -1. ) |
---|
| 439 | CALL iom_put( "udiff_heattr", z2d ) ! heat i-transport |
---|
| 440 | ! |
---|
| 441 | z2d(:,:) = zftv(ji,jj,1) |
---|
| 442 | DO jk = 2, jpkm1 |
---|
| 443 | DO jj = 2, jpjm1 |
---|
| 444 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 445 | z2d(ji,jj) = z2d(ji,jj) + zftv(ji,jj,jk) |
---|
| 446 | END DO |
---|
[5147] | 447 | END DO |
---|
[2450] | 448 | END DO |
---|
[5758] | 449 | z2d(:,:) = rau0_rcp * z2d(:,:) |
---|
| 450 | CALL lbc_lnk( z2d, 'V', -1. ) |
---|
| 451 | CALL iom_put( "vdiff_heattr", z2d ) ! heat j-transport |
---|
| 452 | ENDIF |
---|
| 453 | ! |
---|
| 454 | ENDIF |
---|
[5147] | 455 | ! |
---|
[5758] | 456 | ENDIF !== end pass selection ==! |
---|
[2450] | 457 | ! |
---|
[5758] | 458 | ! ! =============== |
---|
| 459 | END DO ! end tracer loop |
---|
| 460 | ! ! =============== |
---|
[2450] | 461 | ! |
---|
[5758] | 462 | CALL wrk_dealloc( jpi,jpj, z2d ) |
---|
| 463 | CALL wrk_dealloc( jpi,jpj,jpk, zdit, zdjt, zftu, zftv, ztfw, zpsi_uw, zpsi_vw ) |
---|
[2715] | 464 | ! |
---|
[5758] | 465 | IF( nn_timing == 1 ) CALL timing_stop('tra_ldf_triad') |
---|
[3294] | 466 | ! |
---|
[5758] | 467 | END SUBROUTINE tra_ldf_triad |
---|
[2371] | 468 | |
---|
[2205] | 469 | !!============================================================================== |
---|
[5758] | 470 | END MODULE traldf_triad |
---|