| 1 | MODULE dynspg_flt |
|---|
| 2 | !!====================================================================== |
|---|
| 3 | !! *** MODULE dynspg_flt *** |
|---|
| 4 | !! Ocean dynamics: surface pressure gradient trend |
|---|
| 5 | !!====================================================================== |
|---|
| 6 | !! History 8.0 ! 98-05 (G. Roullet) free surface |
|---|
| 7 | !! ! 98-10 (G. Madec, M. Imbard) release 8.2 |
|---|
| 8 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
|---|
| 9 | !! " " ! 02-11 (C. Talandier, A-M Treguier) Open boundaries |
|---|
| 10 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
|---|
| 11 | !! " " ! 05-11 (V. Garnier) Surface pressure gradient organization |
|---|
| 12 | !! " " ! 06-07 (S. Masson) distributed restart using iom |
|---|
| 13 | !!---------------------------------------------------------------------- |
|---|
| 14 | #if defined key_dynspg_flt || defined key_esopa |
|---|
| 15 | !!---------------------------------------------------------------------- |
|---|
| 16 | !! 'key_dynspg_flt' filtered free surface |
|---|
| 17 | !!---------------------------------------------------------------------- |
|---|
| 18 | !!---------------------------------------------------------------------- |
|---|
| 19 | !! dyn_spg_flt : update the momentum trend with the surface pressure |
|---|
| 20 | !! gradient in the filtered free surface case with |
|---|
| 21 | !! vector optimization |
|---|
| 22 | !! flt_rst : read/write the time-splitting restart fields in the ocean restart file |
|---|
| 23 | !!---------------------------------------------------------------------- |
|---|
| 24 | USE oce ! ocean dynamics and tracers |
|---|
| 25 | USE dom_oce ! ocean space and time domain |
|---|
| 26 | USE zdf_oce ! ocean vertical physics |
|---|
| 27 | USE phycst ! physical constants |
|---|
| 28 | USE ocesbc ! ocean surface boundary condition |
|---|
| 29 | USE flxrnf ! ocean runoffs |
|---|
| 30 | USE sol_oce ! ocean elliptic solver |
|---|
| 31 | USE solver ! solver initialization |
|---|
| 32 | USE solpcg ! preconditionned conjugate gradient solver |
|---|
| 33 | USE solsor ! Successive Over-relaxation solver |
|---|
| 34 | USE solfet ! FETI solver |
|---|
| 35 | USE solsor_e ! Successive Over-relaxation solver with MPP optimization |
|---|
| 36 | USE obc_oce ! Lateral open boundary condition |
|---|
| 37 | USE obcdyn ! ocean open boundary condition (obc_dyn routines) |
|---|
| 38 | USE obcvol ! ocean open boundary condition (obc_vol routines) |
|---|
| 39 | USE lib_mpp ! distributed memory computing library |
|---|
| 40 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
|---|
| 41 | USE cla_dynspg ! cross land advection |
|---|
| 42 | USE prtctl ! Print control |
|---|
| 43 | USE solmat ! matrix construction for elliptic solvers |
|---|
| 44 | USE agrif_opa_interp |
|---|
| 45 | USE in_out_manager ! I/O manager |
|---|
| 46 | USE iom |
|---|
| 47 | USE restart ! only for lrst_oce |
|---|
| 48 | USE domvvl ! variable volume |
|---|
| 49 | |
|---|
| 50 | IMPLICIT NONE |
|---|
| 51 | PRIVATE |
|---|
| 52 | |
|---|
| 53 | PUBLIC dyn_spg_flt ! routine called by step.F90 |
|---|
| 54 | PUBLIC flt_rst ! routine called by j-k-i subroutine |
|---|
| 55 | |
|---|
| 56 | !! * Substitutions |
|---|
| 57 | # include "domzgr_substitute.h90" |
|---|
| 58 | # include "vectopt_loop_substitute.h90" |
|---|
| 59 | !!---------------------------------------------------------------------- |
|---|
| 60 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
|---|
| 61 | !! $Header: /home/opalod/NEMOCVSROOT/NEMO/OPA_SRC/DYN/dynspg_flt.F90,v 1.14 2007/06/05 10:38:27 opalod Exp $ |
|---|
| 62 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
|---|
| 63 | !!---------------------------------------------------------------------- |
|---|
| 64 | |
|---|
| 65 | CONTAINS |
|---|
| 66 | |
|---|
| 67 | SUBROUTINE dyn_spg_flt( kt, kindic ) |
|---|
| 68 | !!---------------------------------------------------------------------- |
|---|
| 69 | !! *** routine dyn_spg_flt *** |
|---|
| 70 | !! |
|---|
| 71 | !! ** Purpose : Compute the now trend due to the surface pressure |
|---|
| 72 | !! gradient in case of filtered free surface formulation and add |
|---|
| 73 | !! it to the general trend of momentum equation. |
|---|
| 74 | !! |
|---|
| 75 | !! ** Method : Filtered free surface formulation. The surface |
|---|
| 76 | !! pressure gradient is given by: |
|---|
| 77 | !! spgu = 1/rau0 d/dx(ps) = 1/e1u di( sshn + rnu btda ) |
|---|
| 78 | !! spgv = 1/rau0 d/dy(ps) = 1/e2v dj( sshn + rnu btda ) |
|---|
| 79 | !! where sshn is the free surface elevation and btda is the after |
|---|
| 80 | !! of the free surface elevation |
|---|
| 81 | !! -1- compute the after sea surface elevation from the kinematic |
|---|
| 82 | !! surface boundary condition: |
|---|
| 83 | !! zssha = sshb + 2 rdt ( wn - emp ) |
|---|
| 84 | !! Time filter applied on now sea surface elevation to avoid |
|---|
| 85 | !! the divergence of two consecutive time-steps and swap of free |
|---|
| 86 | !! surface arrays to start the next time step: |
|---|
| 87 | !! sshb = sshn + atfp * [ sshb + zssha - 2 sshn ] |
|---|
| 88 | !! sshn = zssha |
|---|
| 89 | !! -2- evaluate the surface presure trend (including the addi- |
|---|
| 90 | !! tional force) in three steps: |
|---|
| 91 | !! a- compute the right hand side of the elliptic equation: |
|---|
| 92 | !! gcb = 1/(e1t e2t) [ di(e2u spgu) + dj(e1v spgv) ] |
|---|
| 93 | !! where (spgu,spgv) are given by: |
|---|
| 94 | !! spgu = vertical sum[ e3u (ub+ 2 rdt ua ) ] |
|---|
| 95 | !! - grav 2 rdt hu /e1u di[sshn + emp] |
|---|
| 96 | !! spgv = vertical sum[ e3v (vb+ 2 rdt va) ] |
|---|
| 97 | !! - grav 2 rdt hv /e2v dj[sshn + emp] |
|---|
| 98 | !! and define the first guess from previous computation : |
|---|
| 99 | !! zbtd = btda |
|---|
| 100 | !! btda = 2 zbtd - btdb |
|---|
| 101 | !! btdb = zbtd |
|---|
| 102 | !! b- compute the relative accuracy to be reached by the |
|---|
| 103 | !! iterative solver |
|---|
| 104 | !! c- apply the solver by a call to sol... routine |
|---|
| 105 | !! -3- compute and add the free surface pressure gradient inclu- |
|---|
| 106 | !! ding the additional force used to stabilize the equation. |
|---|
| 107 | !! |
|---|
| 108 | !! ** Action : - Update (ua,va) with the surf. pressure gradient trend |
|---|
| 109 | !! |
|---|
| 110 | !! References : Roullet and Madec 1999, JGR. |
|---|
| 111 | !!--------------------------------------------------------------------- |
|---|
| 112 | !! * Modules used |
|---|
| 113 | USE oce , ONLY : zub => ta, & ! ta used as workspace |
|---|
| 114 | zvb => sa ! sa " " |
|---|
| 115 | |
|---|
| 116 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
|---|
| 117 | INTEGER, INTENT( out ) :: kindic ! solver convergence flag (<0 if not converge) |
|---|
| 118 | !! |
|---|
| 119 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 120 | REAL(wp) :: z2dt, z2dtg, zraur, znugdt, & ! temporary scalars |
|---|
| 121 | & znurau, zgcb, zbtd, & ! " " |
|---|
| 122 | & ztdgu, ztdgv ! " " |
|---|
| 123 | !! Variable volume |
|---|
| 124 | REAL(wp), DIMENSION(jpi,jpj) :: & |
|---|
| 125 | zsshub, zsshua, zsshvb, zsshva, zssha ! 2D workspace |
|---|
| 126 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & ! 3D workspace |
|---|
| 127 | zfse3ub, zfse3ua, zfse3vb, zfse3va ! 3D workspace |
|---|
| 128 | !!---------------------------------------------------------------------- |
|---|
| 129 | ! |
|---|
| 130 | IF( kt == nit000 ) THEN |
|---|
| 131 | IF(lwp) WRITE(numout,*) |
|---|
| 132 | IF(lwp) WRITE(numout,*) 'dyn_spg_flt : surface pressure gradient trend' |
|---|
| 133 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ (free surface constant volume case)' |
|---|
| 134 | |
|---|
| 135 | ! set to zero free surface specific arrays |
|---|
| 136 | spgu(:,:) = 0.e0 ! surface pressure gradient (i-direction) |
|---|
| 137 | spgv(:,:) = 0.e0 ! surface pressure gradient (j-direction) |
|---|
| 138 | CALL solver_init( nit000 ) ! Elliptic solver initialisation |
|---|
| 139 | |
|---|
| 140 | ! read filtered free surface arrays in restart file |
|---|
| 141 | CALL flt_rst( nit000, 'READ' ) ! read or initialize the following fields: |
|---|
| 142 | ! ! gcx, gcxb, sshb, sshn |
|---|
| 143 | ENDIF |
|---|
| 144 | |
|---|
| 145 | ! Local constant initialization |
|---|
| 146 | z2dt = 2. * rdt ! time step: leap-frog |
|---|
| 147 | IF( neuler == 0 .AND. kt == nit000 ) z2dt = rdt ! time step: Euler if restart from rest |
|---|
| 148 | IF( neuler == 0 .AND. kt == nit000+1 ) CALL sol_mat(kt) |
|---|
| 149 | z2dtg = grav * z2dt |
|---|
| 150 | zraur = 1. / rauw |
|---|
| 151 | znugdt = rnu * grav * z2dt |
|---|
| 152 | znurau = znugdt * zraur |
|---|
| 153 | |
|---|
| 154 | !! Explicit physics with thickness weighted updates |
|---|
| 155 | IF( lk_vvl ) THEN ! variable volume |
|---|
| 156 | |
|---|
| 157 | DO jj = 1, jpjm1 |
|---|
| 158 | DO ji = 1,jpim1 |
|---|
| 159 | |
|---|
| 160 | ! Sea Surface Height at u-point before |
|---|
| 161 | zsshub(ji,jj) = 0.5 * umask(ji,jj,1) / ( e1u(ji,jj) * e2u(ji,jj) ) & |
|---|
| 162 | & * ( e1t(ji ,jj) * e2t(ji ,jj) * sshb(ji ,jj) & |
|---|
| 163 | & + e1t(ji+1,jj) * e2t(ji+1,jj) * sshb(ji+1,jj) ) |
|---|
| 164 | |
|---|
| 165 | ! Sea Surface Height at v-point before |
|---|
| 166 | zsshvb(ji,jj) = 0.5 * vmask(ji,jj,1) / ( e1v(ji,jj) * e2v(ji,jj) ) & |
|---|
| 167 | & * ( e1t(ji,jj ) * e2t(ji,jj ) * sshb(ji,jj ) & |
|---|
| 168 | & + e1t(ji,jj+1) * e2t(ji,jj+1) * sshb(ji,jj+1) ) |
|---|
| 169 | |
|---|
| 170 | ! Sea Surface Height at u-point after |
|---|
| 171 | zsshua(ji,jj) = 0.5 * umask(ji,jj,1) / ( e1u(ji,jj) * e2u(ji,jj) ) & |
|---|
| 172 | & * ( e1t(ji ,jj) * e2t(ji ,jj) * ssha(ji ,jj) & |
|---|
| 173 | & + e1t(ji+1,jj) * e2t(ji+1,jj) * ssha(ji+1,jj) ) |
|---|
| 174 | |
|---|
| 175 | ! Sea Surface Height at v-point after |
|---|
| 176 | zsshva(ji,jj) = 0.5 * vmask(ji,jj,1) / ( e1v(ji,jj) * e2v(ji,jj) ) & |
|---|
| 177 | & * ( e1t(ji,jj ) * e2t(ji,jj ) * ssha(ji,jj ) & |
|---|
| 178 | & + e1t(ji,jj+1) * e2t(ji,jj+1) * ssha(ji,jj+1) ) |
|---|
| 179 | |
|---|
| 180 | END DO |
|---|
| 181 | END DO |
|---|
| 182 | |
|---|
| 183 | ! Boundaries conditions |
|---|
| 184 | CALL lbc_lnk( zsshub, 'U', 1. ) ; CALL lbc_lnk( zsshvb, 'V', 1. ) |
|---|
| 185 | CALL lbc_lnk( zsshua, 'U', 1. ) ; CALL lbc_lnk( zsshva, 'V', 1. ) |
|---|
| 186 | |
|---|
| 187 | ! Scale factors at before and after time step |
|---|
| 188 | ! ------------------------------------------- |
|---|
| 189 | CALL dom_vvl_sf( zsshub, 'U', zfse3ub ) ; CALL dom_vvl_sf( zsshua, 'U', zfse3ua ) |
|---|
| 190 | CALL dom_vvl_sf( zsshvb, 'V', zfse3vb ) ; CALL dom_vvl_sf( zsshva, 'V', zfse3va ) |
|---|
| 191 | |
|---|
| 192 | |
|---|
| 193 | ! Thickness weighting |
|---|
| 194 | ! ------------------- |
|---|
| 195 | DO jk = 1, jpkm1 |
|---|
| 196 | DO jj = 1, jpj |
|---|
| 197 | DO ji = 1, jpi |
|---|
| 198 | ua(ji,jj,jk) = ua(ji,jj,jk) * fse3u(ji,jj,jk) |
|---|
| 199 | va(ji,jj,jk) = va(ji,jj,jk) * fse3v(ji,jj,jk) |
|---|
| 200 | |
|---|
| 201 | zub(ji,jj,jk) = ub(ji,jj,jk) * zfse3ub(ji,jj,jk) |
|---|
| 202 | zvb(ji,jj,jk) = vb(ji,jj,jk) * zfse3vb(ji,jj,jk) |
|---|
| 203 | END DO |
|---|
| 204 | END DO |
|---|
| 205 | END DO |
|---|
| 206 | |
|---|
| 207 | ! Evaluate the masked next velocity (effect of the additional force not included) |
|---|
| 208 | DO jk = 1, jpkm1 |
|---|
| 209 | DO jj = 2, jpjm1 |
|---|
| 210 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 211 | ua(ji,jj,jk) = ( zub(ji,jj,jk) + z2dt * ua(ji,jj,jk) ) /zfse3ua(ji,jj,jk) * umask(ji,jj,jk) |
|---|
| 212 | va(ji,jj,jk) = ( zvb(ji,jj,jk) + z2dt * va(ji,jj,jk) ) /zfse3va(ji,jj,jk) * vmask(ji,jj,jk) |
|---|
| 213 | END DO |
|---|
| 214 | END DO |
|---|
| 215 | END DO |
|---|
| 216 | |
|---|
| 217 | ELSE ! fixed volume |
|---|
| 218 | |
|---|
| 219 | ! Surface pressure gradient (now) |
|---|
| 220 | DO jj = 2, jpjm1 |
|---|
| 221 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 222 | spgu(ji,jj) = - grav * ( sshn(ji+1,jj) - sshn(ji,jj) ) / e1u(ji,jj) |
|---|
| 223 | spgv(ji,jj) = - grav * ( sshn(ji,jj+1) - sshn(ji,jj) ) / e2v(ji,jj) |
|---|
| 224 | END DO |
|---|
| 225 | END DO |
|---|
| 226 | |
|---|
| 227 | ! Add the surface pressure trend to the general trend |
|---|
| 228 | DO jk = 1, jpkm1 |
|---|
| 229 | DO jj = 2, jpjm1 |
|---|
| 230 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 231 | ua(ji,jj,jk) = ua(ji,jj,jk) + spgu(ji,jj) |
|---|
| 232 | va(ji,jj,jk) = va(ji,jj,jk) + spgv(ji,jj) |
|---|
| 233 | END DO |
|---|
| 234 | END DO |
|---|
| 235 | END DO |
|---|
| 236 | |
|---|
| 237 | ! Evaluate the masked next velocity (effect of the additional force not included) |
|---|
| 238 | DO jk = 1, jpkm1 |
|---|
| 239 | DO jj = 2, jpjm1 |
|---|
| 240 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 241 | ua(ji,jj,jk) = ( ub(ji,jj,jk) + z2dt * ua(ji,jj,jk) ) * umask(ji,jj,jk) |
|---|
| 242 | va(ji,jj,jk) = ( vb(ji,jj,jk) + z2dt * va(ji,jj,jk) ) * vmask(ji,jj,jk) |
|---|
| 243 | END DO |
|---|
| 244 | END DO |
|---|
| 245 | END DO |
|---|
| 246 | |
|---|
| 247 | ENDIF |
|---|
| 248 | |
|---|
| 249 | #if defined key_obc |
|---|
| 250 | CALL obc_dyn( kt ) ! Update velocities on each open boundary with the radiation algorithm |
|---|
| 251 | CALL obc_vol( kt ) ! Correction of the barotropic componant velocity to control the volume of the system |
|---|
| 252 | #endif |
|---|
| 253 | #if defined key_agrif |
|---|
| 254 | CALL Agrif_dyn( kt ) ! Update velocities on each coarse/fine interfaces |
|---|
| 255 | #endif |
|---|
| 256 | #if defined key_orca_r2 |
|---|
| 257 | IF( n_cla == 1 ) CALL dyn_spg_cla( kt ) ! Cross Land Advection (update (ua,va)) |
|---|
| 258 | #endif |
|---|
| 259 | |
|---|
| 260 | ! compute the next vertically averaged velocity (effect of the additional force not included) |
|---|
| 261 | ! --------------------------------------------- |
|---|
| 262 | DO jj = 2, jpjm1 |
|---|
| 263 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 264 | spgu(ji,jj) = 0.e0 |
|---|
| 265 | spgv(ji,jj) = 0.e0 |
|---|
| 266 | END DO |
|---|
| 267 | END DO |
|---|
| 268 | |
|---|
| 269 | ! vertical sum |
|---|
| 270 | !CDIR NOLOOPCHG |
|---|
| 271 | IF( lk_vopt_loop ) THEN ! vector opt., forced unroll |
|---|
| 272 | DO jk = 1, jpkm1 |
|---|
| 273 | DO ji = 1, jpij |
|---|
| 274 | spgu(ji,1) = spgu(ji,1) + fse3u(ji,1,jk) * ua(ji,1,jk) |
|---|
| 275 | spgv(ji,1) = spgv(ji,1) + fse3v(ji,1,jk) * va(ji,1,jk) |
|---|
| 276 | END DO |
|---|
| 277 | END DO |
|---|
| 278 | ELSE ! No vector opt. |
|---|
| 279 | DO jk = 1, jpkm1 |
|---|
| 280 | DO jj = 2, jpjm1 |
|---|
| 281 | DO ji = 2, jpim1 |
|---|
| 282 | spgu(ji,jj) = spgu(ji,jj) + fse3u(ji,jj,jk) * ua(ji,jj,jk) |
|---|
| 283 | spgv(ji,jj) = spgv(ji,jj) + fse3v(ji,jj,jk) * va(ji,jj,jk) |
|---|
| 284 | END DO |
|---|
| 285 | END DO |
|---|
| 286 | END DO |
|---|
| 287 | ENDIF |
|---|
| 288 | |
|---|
| 289 | ! transport: multiplied by the horizontal scale factor |
|---|
| 290 | DO jj = 2, jpjm1 |
|---|
| 291 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 292 | spgu(ji,jj) = spgu(ji,jj) * e2u(ji,jj) |
|---|
| 293 | spgv(ji,jj) = spgv(ji,jj) * e1v(ji,jj) |
|---|
| 294 | END DO |
|---|
| 295 | END DO |
|---|
| 296 | |
|---|
| 297 | ! Boundary conditions on (spgu,spgv) |
|---|
| 298 | CALL lbc_lnk( spgu, 'U', -1. ) |
|---|
| 299 | CALL lbc_lnk( spgv, 'V', -1. ) |
|---|
| 300 | |
|---|
| 301 | IF( lk_vvl ) CALL sol_mat( kt ) |
|---|
| 302 | |
|---|
| 303 | ! Right hand side of the elliptic equation and first guess |
|---|
| 304 | ! ----------------------------------------------------------- |
|---|
| 305 | DO jj = 2, jpjm1 |
|---|
| 306 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 307 | ! Divergence of the after vertically averaged velocity |
|---|
| 308 | zgcb = spgu(ji,jj) - spgu(ji-1,jj) & |
|---|
| 309 | + spgv(ji,jj) - spgv(ji,jj-1) |
|---|
| 310 | gcb(ji,jj) = gcdprc(ji,jj) * zgcb |
|---|
| 311 | ! First guess of the after barotropic transport divergence |
|---|
| 312 | zbtd = gcx(ji,jj) |
|---|
| 313 | gcx (ji,jj) = 2. * zbtd - gcxb(ji,jj) |
|---|
| 314 | gcxb(ji,jj) = zbtd |
|---|
| 315 | END DO |
|---|
| 316 | END DO |
|---|
| 317 | ! applied the lateral boundary conditions |
|---|
| 318 | IF( nsolv == 4 ) CALL lbc_lnk_e( gcb, c_solver_pt, 1. ) |
|---|
| 319 | |
|---|
| 320 | #if defined key_agrif |
|---|
| 321 | IF( .NOT. AGRIF_ROOT() ) THEN |
|---|
| 322 | ! add contribution of gradient of after barotropic transport divergence |
|---|
| 323 | IF( nbondi == -1 .OR. nbondi == 2 ) gcb(3 ,:) = & |
|---|
| 324 | & gcb(3 ,:) - znugdt * z2dt * laplacu(2 ,:) * gcdprc(3 ,:) * hu(2 ,:) * e2u(2 ,:) |
|---|
| 325 | IF( nbondi == 1 .OR. nbondi == 2 ) gcb(nlci-2,:) = & |
|---|
| 326 | & gcb(nlci-2,:) + znugdt * z2dt * laplacu(nlci-2,:) * gcdprc(nlci-2,:) * hu(nlci-2,:) * e2u(nlci-2,:) |
|---|
| 327 | IF( nbondj == -1 .OR. nbondj == 2 ) gcb(: ,3) = & |
|---|
| 328 | & gcb(:,3 ) - znugdt * z2dt * laplacv(:,2 ) * gcdprc(:,3 ) * hv(:,2 ) * e1v(:,2 ) |
|---|
| 329 | IF( nbondj == 1 .OR. nbondj == 2 ) gcb(:,nlcj-2) = & |
|---|
| 330 | & gcb(:,nlcj-2) + znugdt * z2dt * laplacv(:,nlcj-2) * gcdprc(:,nlcj-2) * hv(:,nlcj-2) * e1v(:,nlcj-2) |
|---|
| 331 | ENDIF |
|---|
| 332 | #endif |
|---|
| 333 | |
|---|
| 334 | |
|---|
| 335 | ! Relative precision (computation on one processor) |
|---|
| 336 | ! ------------------ |
|---|
| 337 | rnorme =0. |
|---|
| 338 | rnorme = SUM( gcb(1:jpi,1:jpj) * gcdmat(1:jpi,1:jpj) * gcb(1:jpi,1:jpj) * bmask(:,:) ) |
|---|
| 339 | IF( lk_mpp ) CALL mpp_sum( rnorme ) ! sum over the global domain |
|---|
| 340 | |
|---|
| 341 | epsr = eps * eps * rnorme |
|---|
| 342 | ncut = 0 |
|---|
| 343 | ! if rnorme is 0, the solution is 0, the solver is not called |
|---|
| 344 | IF( rnorme == 0.e0 ) THEN |
|---|
| 345 | gcx(:,:) = 0.e0 |
|---|
| 346 | res = 0.e0 |
|---|
| 347 | niter = 0 |
|---|
| 348 | ncut = 999 |
|---|
| 349 | ENDIF |
|---|
| 350 | |
|---|
| 351 | ! Evaluate the next transport divergence |
|---|
| 352 | ! -------------------------------------- |
|---|
| 353 | ! Iterarive solver for the elliptic equation (except IF sol.=0) |
|---|
| 354 | ! (output in gcx with boundary conditions applied) |
|---|
| 355 | kindic = 0 |
|---|
| 356 | IF( ncut == 0 ) THEN |
|---|
| 357 | IF( nsolv == 1 ) THEN ! diagonal preconditioned conjuguate gradient |
|---|
| 358 | CALL sol_pcg( kindic ) |
|---|
| 359 | ELSEIF( nsolv == 2 ) THEN ! successive-over-relaxation |
|---|
| 360 | CALL sol_sor( kindic ) |
|---|
| 361 | ELSEIF( nsolv == 3 ) THEN ! FETI solver |
|---|
| 362 | CALL sol_fet( kindic ) |
|---|
| 363 | ELSEIF( nsolv == 4 ) THEN ! successive-over-relaxation with extra outer halo |
|---|
| 364 | CALL sol_sor_e( kindic ) |
|---|
| 365 | ELSE ! e r r o r in nsolv namelist parameter |
|---|
| 366 | WRITE(ctmp1,*) ' ~~~~~~~~~~~ not = ', nsolv |
|---|
| 367 | CALL ctl_stop( ' dyn_spg_flt : e r r o r, nsolv = 1, 2 ,3 or 4', ctmp1 ) |
|---|
| 368 | ENDIF |
|---|
| 369 | ENDIF |
|---|
| 370 | |
|---|
| 371 | ! Transport divergence gradient multiplied by z2dt |
|---|
| 372 | ! --------------------------------------------==== |
|---|
| 373 | DO jj = 2, jpjm1 |
|---|
| 374 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 375 | ! trend of Transport divergence gradient |
|---|
| 376 | ztdgu = znugdt * (gcx(ji+1,jj ) - gcx(ji,jj) ) / e1u(ji,jj) |
|---|
| 377 | ztdgv = znugdt * (gcx(ji ,jj+1) - gcx(ji,jj) ) / e2v(ji,jj) |
|---|
| 378 | ! multiplied by z2dt |
|---|
| 379 | #if defined key_obc |
|---|
| 380 | ! caution : grad D = 0 along open boundaries |
|---|
| 381 | spgu(ji,jj) = z2dt * ztdgu * obcumask(ji,jj) |
|---|
| 382 | spgv(ji,jj) = z2dt * ztdgv * obcvmask(ji,jj) |
|---|
| 383 | #else |
|---|
| 384 | spgu(ji,jj) = z2dt * ztdgu |
|---|
| 385 | spgv(ji,jj) = z2dt * ztdgv |
|---|
| 386 | #endif |
|---|
| 387 | END DO |
|---|
| 388 | END DO |
|---|
| 389 | |
|---|
| 390 | #if defined key_agrif |
|---|
| 391 | IF( .NOT. Agrif_Root() ) THEN |
|---|
| 392 | ! caution : grad D (fine) = grad D (coarse) at coarse/fine interface |
|---|
| 393 | IF( nbondi == -1 .OR. nbondi == 2 ) spgu(2 ,:) = znugdt * z2dt * laplacu(2 ,:) * umask(2 ,:,1) |
|---|
| 394 | IF( nbondi == 1 .OR. nbondi == 2 ) spgu(nlci-2,:) = znugdt * z2dt * laplacu(nlci-2,:) * umask(nlci-2,:,1) |
|---|
| 395 | IF( nbondj == -1 .OR. nbondj == 2 ) spgv(:,2 ) = znugdt * z2dt * laplacv(:,2 ) * vmask(: ,2,1) |
|---|
| 396 | IF( nbondj == 1 .OR. nbondj == 2 ) spgv(:,nlcj-2) = znugdt * z2dt * laplacv(:,nlcj-2) * vmask(:,nlcj-2,1) |
|---|
| 397 | ENDIF |
|---|
| 398 | #endif |
|---|
| 399 | ! 7. Add the trends multiplied by z2dt to the after velocity |
|---|
| 400 | ! ----------------------------------------------------------- |
|---|
| 401 | ! ( c a u t i o n : (ua,va) here are the after velocity not the |
|---|
| 402 | ! trend, the leap-frog time stepping will not |
|---|
| 403 | ! be done in dynnxt.F90 routine) |
|---|
| 404 | DO jk = 1, jpkm1 |
|---|
| 405 | DO jj = 2, jpjm1 |
|---|
| 406 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 407 | ua(ji,jj,jk) = (ua(ji,jj,jk) + spgu(ji,jj)) * umask(ji,jj,jk) |
|---|
| 408 | va(ji,jj,jk) = (va(ji,jj,jk) + spgv(ji,jj)) * vmask(ji,jj,jk) |
|---|
| 409 | END DO |
|---|
| 410 | END DO |
|---|
| 411 | END DO |
|---|
| 412 | |
|---|
| 413 | ! Sea surface elevation time stepping |
|---|
| 414 | ! ----------------------------------- |
|---|
| 415 | IF( lk_vvl ) THEN ! after free surface elevation |
|---|
| 416 | zssha(:,:) = ssha(:,:) |
|---|
| 417 | ELSE |
|---|
| 418 | zssha(:,:) = sshb(:,:) + z2dt * ( wn(:,:,1) - emp(:,:) * zraur ) * tmask(:,:,1) |
|---|
| 419 | ENDIF |
|---|
| 420 | |
|---|
| 421 | IF( neuler == 0 .AND. kt == nit000 ) THEN ! Euler (forward) time stepping, no time filter |
|---|
| 422 | ! swap of arrays |
|---|
| 423 | sshb(:,:) = sshn (:,:) |
|---|
| 424 | sshn(:,:) = zssha(:,:) |
|---|
| 425 | ELSE ! Leap-frog time stepping and time filter |
|---|
| 426 | ! time filter and array swap |
|---|
| 427 | sshb(:,:) = atfp * ( sshb(:,:) + zssha(:,:) ) + atfp1 * sshn(:,:) |
|---|
| 428 | sshn(:,:) = zssha(:,:) |
|---|
| 429 | ENDIF |
|---|
| 430 | |
|---|
| 431 | ! write filtered free surface arrays in restart file |
|---|
| 432 | ! -------------------------------------------------- |
|---|
| 433 | IF( lrst_oce ) CALL flt_rst( kt, 'WRITE' ) |
|---|
| 434 | |
|---|
| 435 | ! print sum trends (used for debugging) |
|---|
| 436 | IF(ln_ctl) CALL prt_ctl( tab2d_1=sshn, clinfo1=' spg - ssh: ', mask1=tmask ) |
|---|
| 437 | ! |
|---|
| 438 | END SUBROUTINE dyn_spg_flt |
|---|
| 439 | |
|---|
| 440 | |
|---|
| 441 | SUBROUTINE flt_rst( kt, cdrw ) |
|---|
| 442 | !!--------------------------------------------------------------------- |
|---|
| 443 | !! *** ROUTINE ts_rst *** |
|---|
| 444 | !! |
|---|
| 445 | !! ** Purpose : Read or write filtered free surface arrays in restart file |
|---|
| 446 | !!---------------------------------------------------------------------- |
|---|
| 447 | INTEGER , INTENT(in) :: kt ! ocean time-step |
|---|
| 448 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
|---|
| 449 | !!---------------------------------------------------------------------- |
|---|
| 450 | |
|---|
| 451 | IF( TRIM(cdrw) == 'READ' ) THEN |
|---|
| 452 | IF( iom_varid( numror, 'gcx' ) > 0 ) THEN |
|---|
| 453 | ! Caution : extra-hallow |
|---|
| 454 | ! gcx and gcxb are defined as: DIMENSION(1-jpr2di:jpi+jpr2di,1-jpr2dj:jpj+jpr2dj) |
|---|
| 455 | CALL iom_get( numror, jpdom_autoglo, 'gcx' , gcx (1:jpi,1:jpj) ) |
|---|
| 456 | CALL iom_get( numror, jpdom_autoglo, 'gcxb', gcxb(1:jpi,1:jpj) ) |
|---|
| 457 | CALL iom_get( numror, jpdom_autoglo, 'sshb', sshb(:,:) ) |
|---|
| 458 | CALL iom_get( numror, jpdom_autoglo, 'sshn', sshn(:,:) ) |
|---|
| 459 | IF( neuler == 0 ) THEN |
|---|
| 460 | sshb(:,:) = sshn(:,:) |
|---|
| 461 | gcxb(:,:) = gcx (:,:) |
|---|
| 462 | ENDIF |
|---|
| 463 | ELSE |
|---|
| 464 | gcx (:,:) = 0.e0 |
|---|
| 465 | gcxb(:,:) = 0.e0 |
|---|
| 466 | IF( nn_rstssh == 1 ) THEN |
|---|
| 467 | sshb(:,:) = 0.e0 |
|---|
| 468 | sshn(:,:) = 0.e0 |
|---|
| 469 | ENDIF |
|---|
| 470 | ENDIF |
|---|
| 471 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN |
|---|
| 472 | ! Caution : extra-hallow |
|---|
| 473 | ! gcx and gcxb are defined as: DIMENSION(1-jpr2di:jpi+jpr2di,1-jpr2dj:jpj+jpr2dj) |
|---|
| 474 | CALL iom_rstput( kt, nitrst, numrow, 'gcx' , gcx( 1:jpi,1:jpj) ) |
|---|
| 475 | CALL iom_rstput( kt, nitrst, numrow, 'gcxb', gcxb(1:jpi,1:jpj) ) |
|---|
| 476 | CALL iom_rstput( kt, nitrst, numrow, 'sshb', sshb(:,:) ) |
|---|
| 477 | CALL iom_rstput( kt, nitrst, numrow, 'sshn', sshn(:,:) ) |
|---|
| 478 | ENDIF |
|---|
| 479 | ! |
|---|
| 480 | END SUBROUTINE flt_rst |
|---|
| 481 | |
|---|
| 482 | #else |
|---|
| 483 | !!---------------------------------------------------------------------- |
|---|
| 484 | !! Default case : Empty module No standart free surface cst volume |
|---|
| 485 | !!---------------------------------------------------------------------- |
|---|
| 486 | CONTAINS |
|---|
| 487 | SUBROUTINE dyn_spg_flt( kt, kindic ) ! Empty routine |
|---|
| 488 | WRITE(*,*) 'dyn_spg_flt: You should not have seen this print! error?', kt, kindic |
|---|
| 489 | END SUBROUTINE dyn_spg_flt |
|---|
| 490 | SUBROUTINE flt_rst ( kt, cdrw ) ! Empty routine |
|---|
| 491 | INTEGER , INTENT(in) :: kt ! ocean time-step |
|---|
| 492 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
|---|
| 493 | WRITE(*,*) 'flt_rst: You should not have seen this print! error?', kt, cdrw |
|---|
| 494 | END SUBROUTINE flt_rst |
|---|
| 495 | #endif |
|---|
| 496 | |
|---|
| 497 | !!====================================================================== |
|---|
| 498 | END MODULE dynspg_flt |
|---|
