| 1 | MODULE dynzdf_imp_atsk |
|---|
| 2 | !!============================================================================== |
|---|
| 3 | !! *** MODULE dynzdf_imp_atsk *** |
|---|
| 4 | !! Ocean dynamics: vertical component(s) of the momentum mixing trend |
|---|
| 5 | !!============================================================================== |
|---|
| 6 | |
|---|
| 7 | !!---------------------------------------------------------------------- |
|---|
| 8 | !! dyn_zdf_imp_tsk : update the momentum trend with the vertical |
|---|
| 9 | !! diffusion using an implicit time-stepping and |
|---|
| 10 | !! j-k-i loops. |
|---|
| 11 | !!---------------------------------------------------------------------- |
|---|
| 12 | !! * Modules used |
|---|
| 13 | USE oce ! ocean dynamics and tracers |
|---|
| 14 | USE dom_oce ! ocean space and time domain |
|---|
| 15 | USE phycst ! physical constants |
|---|
| 16 | USE zdf_oce ! ocean vertical physics |
|---|
| 17 | USE in_out_manager ! I/O manager |
|---|
| 18 | USE taumod ! surface ocean stress |
|---|
| 19 | USE trdmod ! ocean dynamics trends |
|---|
| 20 | USE trdmod_oce ! ocean variables trends |
|---|
| 21 | |
|---|
| 22 | IMPLICIT NONE |
|---|
| 23 | PRIVATE |
|---|
| 24 | |
|---|
| 25 | !! * Routine accessibility |
|---|
| 26 | PUBLIC dyn_zdf_imp_tsk ! called by step.F90 |
|---|
| 27 | |
|---|
| 28 | !! * Substitutions |
|---|
| 29 | # include "domzgr_substitute.h90" |
|---|
| 30 | # include "vectopt_loop_substitute.h90" |
|---|
| 31 | !!---------------------------------------------------------------------- |
|---|
| 32 | !! OPA 9.0 , LODYC-IPSL (2003) |
|---|
| 33 | !!---------------------------------------------------------------------- |
|---|
| 34 | |
|---|
| 35 | CONTAINS |
|---|
| 36 | |
|---|
| 37 | SUBROUTINE dyn_zdf_imp_tsk( kt ) |
|---|
| 38 | !!---------------------------------------------------------------------- |
|---|
| 39 | !! *** ROUTINE dyn_zdf_imp_tsk *** |
|---|
| 40 | !! |
|---|
| 41 | !! ** Purpose : Compute the trend due to the vert. momentum diffusion |
|---|
| 42 | !! and the surface forcing, and add it to the general trend of |
|---|
| 43 | !! the momentum equations. |
|---|
| 44 | !! |
|---|
| 45 | !! ** Method : The vertical momentum mixing trend is given by : |
|---|
| 46 | !! dz( avmu dz(u) ) = 1/e3u dk+1( avmu/e3uw dk(ua) ) |
|---|
| 47 | !! backward time stepping |
|---|
| 48 | !! Surface boundary conditions: wind stress input |
|---|
| 49 | !! Bottom boundary conditions : bottom stress (cf zdfbfr.F) |
|---|
| 50 | !! Add this trend to the general trend ua : |
|---|
| 51 | !! ua = ua + dz( avmu dz(u) ) |
|---|
| 52 | !! |
|---|
| 53 | !! ** Action : - Update (ua,va) arrays with the after vertical diffusive |
|---|
| 54 | !! mixing trend. |
|---|
| 55 | !! - Save the trends in (ztdua,ztdva) ('l_trddyn') |
|---|
| 56 | !! |
|---|
| 57 | !! History : |
|---|
| 58 | !! 8.5 ! 02-08 (G. Madec) auto-tasking option |
|---|
| 59 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
|---|
| 60 | !!--------------------------------------------------------------------- |
|---|
| 61 | !! * Modules used |
|---|
| 62 | USE oce, ONLY : ztdua => ta, & ! use ta as 3D workspace |
|---|
| 63 | ztdva => sa ! use sa as 3D workspace |
|---|
| 64 | |
|---|
| 65 | !! * Arguments |
|---|
| 66 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
|---|
| 67 | |
|---|
| 68 | !! * Local declarations |
|---|
| 69 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 70 | INTEGER :: & |
|---|
| 71 | ikst, ikenm2, ikstp1, & ! temporary integers |
|---|
| 72 | ikbu, ikbum1, ikbv, ikbvm1 ! " " |
|---|
| 73 | REAL(wp) :: & |
|---|
| 74 | zrau0r, z2dt, zua, zva, & !temporary scalars |
|---|
| 75 | z2dtf, zcoef, zzws |
|---|
| 76 | REAL(wp), DIMENSION(jpi,jpk) :: & |
|---|
| 77 | zwx, zwy, zwz, & ! workspace |
|---|
| 78 | zwd, zws, zwi, zwt |
|---|
| 79 | REAL(wp), DIMENSION(jpi,jpj) :: & |
|---|
| 80 | ztsx, ztsy, ztbx, ztby ! temporary workspace arrays |
|---|
| 81 | !!---------------------------------------------------------------------- |
|---|
| 82 | |
|---|
| 83 | IF( kt == nit000 ) THEN |
|---|
| 84 | IF(lwp) WRITE(numout,*) |
|---|
| 85 | IF(lwp) WRITE(numout,*) 'dyn_zdf_imp_tsk : vertical momentum diffusion implicit operator' |
|---|
| 86 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ auto-task case (j-k-i loop)' |
|---|
| 87 | ENDIF |
|---|
| 88 | |
|---|
| 89 | |
|---|
| 90 | ! 0. Local constant initialization |
|---|
| 91 | ! -------------------------------- |
|---|
| 92 | zrau0r = 1. / rau0 ! inverse of the reference density |
|---|
| 93 | z2dt = 2. * rdt ! Leap-frog environnement |
|---|
| 94 | ztsx(:,:) = 0.e0 |
|---|
| 95 | ztsy(:,:) = 0.e0 |
|---|
| 96 | ztbx(:,:) = 0.e0 |
|---|
| 97 | ztby(:,:) = 0.e0 |
|---|
| 98 | ! Euler time stepping when starting from rest |
|---|
| 99 | IF( neuler == 0 .AND. kt == nit000 ) z2dt = rdt |
|---|
| 100 | |
|---|
| 101 | ! Save ua and va trends |
|---|
| 102 | IF( l_trddyn ) THEN |
|---|
| 103 | ztdua(:,:,:) = ua(:,:,:) |
|---|
| 104 | ztdva(:,:,:) = va(:,:,:) |
|---|
| 105 | ENDIF |
|---|
| 106 | |
|---|
| 107 | ! ! =============== |
|---|
| 108 | DO jj = 2, jpjm1 ! Vertical slab |
|---|
| 109 | ! ! =============== |
|---|
| 110 | ! 1. Vertical diffusion on u |
|---|
| 111 | ! --------------------------- |
|---|
| 112 | |
|---|
| 113 | ! Matrix and second member construction |
|---|
| 114 | ! bottom boundary condition: only zws must be masked as avmu can take |
|---|
| 115 | ! non zero value at the ocean bottom depending on the bottom friction |
|---|
| 116 | ! used (see zdfmix.F) |
|---|
| 117 | DO jk = 1, jpkm1 |
|---|
| 118 | DO ji = 2, jpim1 |
|---|
| 119 | zcoef = - z2dt / fse3u(ji,jj,jk) |
|---|
| 120 | zwi(ji,jk) = zcoef * avmu(ji,jj,jk ) / fse3uw(ji,jj,jk ) |
|---|
| 121 | zzws = zcoef * avmu(ji,jj,jk+1) / fse3uw(ji,jj,jk+1) |
|---|
| 122 | zws(ji,jk) = zzws * umask(ji,jj,jk+1) |
|---|
| 123 | zwd(ji,jk) = 1. - zwi(ji,jk) - zzws |
|---|
| 124 | zwy(ji,jk) = ub(ji,jj,jk) + z2dt * ua(ji,jj,jk) |
|---|
| 125 | END DO |
|---|
| 126 | END DO |
|---|
| 127 | |
|---|
| 128 | ! Surface boudary conditions |
|---|
| 129 | DO ji = 2, jpim1 |
|---|
| 130 | z2dtf = z2dt / ( fse3u(ji,jj,1)*rau0 ) |
|---|
| 131 | zwi(ji,1) = 0. |
|---|
| 132 | zwd(ji,1) = 1. - zws(ji,1) |
|---|
| 133 | zwy(ji,1) = zwy(ji,1) + z2dtf * taux(ji,jj) |
|---|
| 134 | END DO |
|---|
| 135 | |
|---|
| 136 | ! Matrix inversion starting from the first level |
|---|
| 137 | ikst = 1 |
|---|
| 138 | !!---------------------------------------------------------------------- |
|---|
| 139 | !! ZDF.MATRIXSOLVER |
|---|
| 140 | !! ******************** |
|---|
| 141 | !!---------------------------------------------------------------------- |
|---|
| 142 | !! Matrix inversion |
|---|
| 143 | ! solve m.x = y where m is a tri diagonal matrix ( jpk*jpk ) |
|---|
| 144 | ! |
|---|
| 145 | ! ( zwd1 zws1 0 0 0 )( zwx1 ) ( zwy1 ) |
|---|
| 146 | ! ( zwi2 zwd2 zws2 0 0 )( zwx2 ) ( zwy2 ) |
|---|
| 147 | ! ( 0 zwi3 zwd3 zws3 0 )( zwx3 )=( zwy3 ) |
|---|
| 148 | ! ( ... )( ... ) ( ... ) |
|---|
| 149 | ! ( 0 0 0 zwik zwdk )( zwxk ) ( zwyk ) |
|---|
| 150 | ! |
|---|
| 151 | ! m is decomposed in the product of an upper and lower triangular |
|---|
| 152 | ! matrix |
|---|
| 153 | ! The 3 diagonal terms are in 2d arrays: zwd, zws, zwi |
|---|
| 154 | ! The second member is in 2d array zwy |
|---|
| 155 | ! The solution is in 2d array zwx |
|---|
| 156 | ! The 2d arry zwt and zwz are work space arrays |
|---|
| 157 | ! |
|---|
| 158 | ! N.B. the starting vertical index (ikst) is equal to 1 except for |
|---|
| 159 | ! the resolution of tke matrix where surface tke value is prescribed |
|---|
| 160 | ! so that ikstrt=2. |
|---|
| 161 | !!---------------------------------------------------------------------- |
|---|
| 162 | |
|---|
| 163 | ikstp1 = ikst + 1 |
|---|
| 164 | ikenm2 = jpk - 2 |
|---|
| 165 | DO ji = 2, jpim1 |
|---|
| 166 | zwt(ji,ikst) = zwd(ji,ikst) |
|---|
| 167 | END DO |
|---|
| 168 | DO jk = ikstp1, jpkm1 |
|---|
| 169 | DO ji = 2, jpim1 |
|---|
| 170 | zwt(ji,jk) = zwd(ji,jk) - zwi(ji,jk) * zws(ji,jk-1) / zwt(ji,jk-1) |
|---|
| 171 | END DO |
|---|
| 172 | END DO |
|---|
| 173 | DO ji = 2, jpim1 |
|---|
| 174 | zwz(ji,ikst) = zwy(ji,ikst) |
|---|
| 175 | END DO |
|---|
| 176 | DO jk = ikstp1, jpkm1 |
|---|
| 177 | DO ji = 2, jpim1 |
|---|
| 178 | zwz(ji,jk) = zwy(ji,jk) - zwi(ji,jk) / zwt(ji,jk-1) * zwz(ji,jk-1) |
|---|
| 179 | END DO |
|---|
| 180 | END DO |
|---|
| 181 | DO ji = 2, jpim1 |
|---|
| 182 | zwx(ji,jpkm1) = zwz(ji,jpkm1) / zwt(ji,jpkm1) |
|---|
| 183 | END DO |
|---|
| 184 | DO jk = ikenm2, ikst, -1 |
|---|
| 185 | DO ji = 2, jpim1 |
|---|
| 186 | zwx(ji,jk) =( zwz(ji,jk) - zws(ji,jk) * zwx(ji,jk+1) ) / zwt(ji,jk) |
|---|
| 187 | END DO |
|---|
| 188 | END DO |
|---|
| 189 | |
|---|
| 190 | ! Normalization to obtain the general momentum trend ua |
|---|
| 191 | DO jk = 1, jpkm1 |
|---|
| 192 | DO ji = 2, jpim1 |
|---|
| 193 | ua(ji,jj,jk) = ( zwx(ji,jk) - ub(ji,jj,jk) ) / z2dt |
|---|
| 194 | END DO |
|---|
| 195 | END DO |
|---|
| 196 | |
|---|
| 197 | ! diagnose surface and bottom momentum fluxes |
|---|
| 198 | ! for trends diagnostics |
|---|
| 199 | DO ji = 2, jpim1 |
|---|
| 200 | ! save the surface forcing momentum fluxes |
|---|
| 201 | ztsx(ji,jj) = taux(ji,jj) / ( fse3u(ji,jj,1)*rau0 ) |
|---|
| 202 | ! save bottom friction momentum fluxes |
|---|
| 203 | ikbu = MIN( mbathy(ji+1,jj), mbathy(ji,jj) ) |
|---|
| 204 | ikbum1 = MAX( ikbu-1, 1 ) |
|---|
| 205 | ztbx(ji,jj) = - avmu(ji,jj,ikbu) * zwx(ji,ikbum1) & |
|---|
| 206 | / ( fse3u(ji,jj,ikbum1)*fse3uw(ji,jj,ikbu) ) |
|---|
| 207 | ! subtract surface forcing and bottom friction trend from vertical |
|---|
| 208 | ! diffusive momentum trend |
|---|
| 209 | ztdua(ji,jj,1 ) = ztdua(ji,jj,1 ) - ztsx(ji,jj) |
|---|
| 210 | ztdua(ji,jj,ikbum1) = ztdua(ji,jj,ikbum1) - ztbx(ji,jj) |
|---|
| 211 | END DO |
|---|
| 212 | |
|---|
| 213 | ! 2. Vertical diffusion on v |
|---|
| 214 | ! --------------------------- |
|---|
| 215 | |
|---|
| 216 | ! Matrix and second member construction |
|---|
| 217 | ! bottom boundary condition: only zws must be masked as avmv can take |
|---|
| 218 | ! non zero value at the ocean bottom depending on the bottom friction |
|---|
| 219 | ! used (see zdfmix.F) |
|---|
| 220 | DO jk = 1, jpkm1 |
|---|
| 221 | DO ji = 2, jpim1 |
|---|
| 222 | zcoef = -z2dt/fse3v(ji,jj,jk) |
|---|
| 223 | zwi(ji,jk) = zcoef * avmv(ji,jj,jk ) / fse3vw(ji,jj,jk ) |
|---|
| 224 | zzws = zcoef * avmv(ji,jj,jk+1) / fse3vw(ji,jj,jk+1) |
|---|
| 225 | zws(ji,jk) = zzws * vmask(ji,jj,jk+1) |
|---|
| 226 | zwd(ji,jk) = 1. - zwi(ji,jk) - zzws |
|---|
| 227 | zwy(ji,jk) = vb(ji,jj,jk) + z2dt * va(ji,jj,jk) |
|---|
| 228 | END DO |
|---|
| 229 | END DO |
|---|
| 230 | |
|---|
| 231 | ! Surface boudary conditions |
|---|
| 232 | DO ji = 2, jpim1 |
|---|
| 233 | z2dtf = z2dt / ( fse3v(ji,jj,1)*rau0 ) |
|---|
| 234 | zwi(ji,1) = 0.e0 |
|---|
| 235 | zwd(ji,1) = 1. - zws(ji,1) |
|---|
| 236 | zwy(ji,1) = zwy(ji,1) + z2dtf * tauy(ji,jj) |
|---|
| 237 | END DO |
|---|
| 238 | |
|---|
| 239 | ! Matrix inversion starting from the first level |
|---|
| 240 | ikst = 1 |
|---|
| 241 | !!---------------------------------------------------------------------- |
|---|
| 242 | !! ZDF.MATRIXSOLVER |
|---|
| 243 | !! ******************** |
|---|
| 244 | !!---------------------------------------------------------------------- |
|---|
| 245 | !! Matrix inversion |
|---|
| 246 | ! solve m.x = y where m is a tri diagonal matrix ( jpk*jpk ) |
|---|
| 247 | ! |
|---|
| 248 | ! ( zwd1 zws1 0 0 0 )( zwx1 ) ( zwy1 ) |
|---|
| 249 | ! ( zwi2 zwd2 zws2 0 0 )( zwx2 ) ( zwy2 ) |
|---|
| 250 | ! ( 0 zwi3 zwd3 zws3 0 )( zwx3 )=( zwy3 ) |
|---|
| 251 | ! ( ... )( ... ) ( ... ) |
|---|
| 252 | ! ( 0 0 0 zwik zwdk )( zwxk ) ( zwyk ) |
|---|
| 253 | ! |
|---|
| 254 | ! m is decomposed in the product of an upper and lower triangular |
|---|
| 255 | ! matrix |
|---|
| 256 | ! The 3 diagonal terms are in 2d arrays: zwd, zws, zwi |
|---|
| 257 | ! The second member is in 2d array zwy |
|---|
| 258 | ! The solution is in 2d array zwx |
|---|
| 259 | ! The 2d arry zwt and zwz are work space arrays |
|---|
| 260 | ! |
|---|
| 261 | ! N.B. the starting vertical index (ikst) is equal to 1 except for |
|---|
| 262 | ! the resolution of tke matrix where surface tke value is prescribed |
|---|
| 263 | ! so that ikstrt=2. |
|---|
| 264 | !!---------------------------------------------------------------------- |
|---|
| 265 | |
|---|
| 266 | ikstp1 = ikst + 1 |
|---|
| 267 | ikenm2 = jpk - 2 |
|---|
| 268 | DO ji = 2, jpim1 |
|---|
| 269 | zwt(ji,ikst) = zwd(ji,ikst) |
|---|
| 270 | END DO |
|---|
| 271 | DO jk = ikstp1, jpkm1 |
|---|
| 272 | DO ji = 2, jpim1 |
|---|
| 273 | zwt(ji,jk) = zwd(ji,jk) - zwi(ji,jk) * zws(ji,jk-1) / zwt(ji,jk-1) |
|---|
| 274 | END DO |
|---|
| 275 | END DO |
|---|
| 276 | DO ji = 2, jpim1 |
|---|
| 277 | zwz(ji,ikst) = zwy(ji,ikst) |
|---|
| 278 | END DO |
|---|
| 279 | DO jk = ikstp1, jpkm1 |
|---|
| 280 | DO ji = 2, jpim1 |
|---|
| 281 | zwz(ji,jk) = zwy(ji,jk) - zwi(ji,jk) / zwt(ji,jk-1) * zwz(ji,jk-1) |
|---|
| 282 | END DO |
|---|
| 283 | END DO |
|---|
| 284 | DO ji = 2, jpim1 |
|---|
| 285 | zwx(ji,jpkm1) = zwz(ji,jpkm1) / zwt(ji,jpkm1) |
|---|
| 286 | END DO |
|---|
| 287 | DO jk = ikenm2, ikst, -1 |
|---|
| 288 | DO ji = 2, jpim1 |
|---|
| 289 | zwx(ji,jk) =( zwz(ji,jk) - zws(ji,jk) * zwx(ji,jk+1) ) / zwt(ji,jk) |
|---|
| 290 | END DO |
|---|
| 291 | END DO |
|---|
| 292 | |
|---|
| 293 | ! Normalization to obtain the general momentum trend va |
|---|
| 294 | DO jk = 1, jpkm1 |
|---|
| 295 | DO ji = 2, jpim1 |
|---|
| 296 | va(ji,jj,jk) = ( zwx(ji,jk) - vb(ji,jj,jk) ) / z2dt |
|---|
| 297 | END DO |
|---|
| 298 | END DO |
|---|
| 299 | |
|---|
| 300 | ! diagnose surface and bottom momentum fluxes |
|---|
| 301 | ! for trends diagnostics |
|---|
| 302 | DO ji = 2, jpim1 |
|---|
| 303 | ! save the surface forcing momentum fluxes |
|---|
| 304 | ztsy(ji,jj) = tauy(ji,jj) / ( fse3v(ji,jj,1)*rau0 ) |
|---|
| 305 | ! save bottom friction momentum fluxes |
|---|
| 306 | ikbv = MIN( mbathy(ji,jj+1), mbathy(ji,jj) ) |
|---|
| 307 | ikbvm1 = MAX( ikbv-1, 1 ) |
|---|
| 308 | ztby(ji,jj) = - avmv(ji,jj,ikbv) * zwx(ji,ikbvm1) & |
|---|
| 309 | / ( fse3v(ji,jj,ikbvm1)*fse3vw(ji,jj,ikbv) ) |
|---|
| 310 | ! subtract surface forcing and bottom friction trend from vertical |
|---|
| 311 | ! diffusive momentum trend |
|---|
| 312 | ztdva(ji,jj,1 ) = ztdva(ji,jj,1 ) - ztsy(ji,jj) |
|---|
| 313 | ztdva(ji,jj,ikbvm1) = ztdva(ji,jj,ikbvm1) - ztby(ji,jj) |
|---|
| 314 | END DO |
|---|
| 315 | ! ! =============== |
|---|
| 316 | END DO ! End of slab |
|---|
| 317 | ! ! =============== |
|---|
| 318 | |
|---|
| 319 | ! save the vertical diffusion trends for diagnostic |
|---|
| 320 | ! momentum trends |
|---|
| 321 | IF( l_trddyn ) THEN |
|---|
| 322 | ztdua(:,:,:) = ua(:,:,:) - ztdua(:,:,:) |
|---|
| 323 | ztdva(:,:,:) = va(:,:,:) - ztdva(:,:,:) |
|---|
| 324 | |
|---|
| 325 | CALL trd_mod(ztdua, ztdva, jpdtdzdf, 'DYN', kt) |
|---|
| 326 | ztdua(:,:,:) = 0.e0 |
|---|
| 327 | ztdva(:,:,:) = 0.e0 |
|---|
| 328 | ztdua(:,:,1) = ztsx(:,:) |
|---|
| 329 | ztdva(:,:,1) = ztsy(:,:) |
|---|
| 330 | CALL trd_mod(ztdua , ztdva , jpdtdswf, 'DYN', kt) |
|---|
| 331 | ztdua(:,:,:) = 0.e0 |
|---|
| 332 | ztdva(:,:,:) = 0.e0 |
|---|
| 333 | ztdua(:,:,1) = ztbx(:,:) |
|---|
| 334 | ztdva(:,:,1) = ztby(:,:) |
|---|
| 335 | CALL trd_mod(ztdua , ztdva , jpdtdbfr, 'DYN', kt) |
|---|
| 336 | ENDIF |
|---|
| 337 | |
|---|
| 338 | IF(l_ctl) THEN ! print sum trends (used for debugging) |
|---|
| 339 | zua = SUM( ua(2:nictl,2:njctl,1:jpkm1) * umask(2:nictl,2:njctl,1:jpkm1) ) |
|---|
| 340 | zva = SUM( va(2:nictl,2:njctl,1:jpkm1) * vmask(2:nictl,2:njctl,1:jpkm1) ) |
|---|
| 341 | WRITE(numout,*) ' zdf - Ua: ', zua-u_ctl, ' Va: ', zva-v_ctl |
|---|
| 342 | u_ctl = zua ; v_ctl = zva |
|---|
| 343 | ENDIF |
|---|
| 344 | |
|---|
| 345 | END SUBROUTINE dyn_zdf_imp_tsk |
|---|
| 346 | |
|---|
| 347 | !!============================================================================== |
|---|
| 348 | END MODULE dynzdf_imp_atsk |
|---|
