[371] | 1 | MODULE dynspg_ts_jki |
---|
| 2 | !!====================================================================== |
---|
| 3 | !! *** MODULE dynspg_ts_jki *** |
---|
| 4 | !! Ocean dynamics: surface pressure gradient trend |
---|
| 5 | !!====================================================================== |
---|
[455] | 6 | #if ( defined key_dynspg_ts && defined key_mpp_omp ) || defined key_esopa |
---|
[371] | 7 | !!---------------------------------------------------------------------- |
---|
| 8 | !! 'key_dynspg_ts' free surface with time splitting |
---|
[455] | 9 | !! 'key_mpp_omp' j-k-i loop (vector opt.) |
---|
[371] | 10 | !!---------------------------------------------------------------------- |
---|
| 11 | !! dyn_spg_ts : compute surface pressure gradient trend using a time- |
---|
| 12 | !! splitting scheme and add to the general trend |
---|
| 13 | !!---------------------------------------------------------------------- |
---|
| 14 | !! * Modules used |
---|
| 15 | USE oce ! ocean dynamics and tracers |
---|
| 16 | USE dom_oce ! ocean space and time domain |
---|
| 17 | USE phycst ! physical constants |
---|
| 18 | USE ocesbc ! ocean surface boundary condition |
---|
| 19 | USE obcdta ! open boundary condition data |
---|
| 20 | USE obcfla ! Flather open boundary condition |
---|
| 21 | USE dynvor ! vorticity term |
---|
| 22 | USE obc_oce ! Lateral open boundary condition |
---|
| 23 | USE obc_par ! open boundary condition parameters |
---|
| 24 | USE lib_mpp ! distributed memory computing library |
---|
| 25 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
---|
| 26 | USE prtctl ! Print control |
---|
| 27 | USE dynspg_oce ! surface pressure gradient variables |
---|
| 28 | USE in_out_manager ! I/O manager |
---|
| 29 | |
---|
| 30 | IMPLICIT NONE |
---|
| 31 | PRIVATE |
---|
| 32 | |
---|
| 33 | !! * Accessibility |
---|
| 34 | PUBLIC dyn_spg_ts_jki ! routine called by step.F90 |
---|
| 35 | |
---|
| 36 | !! * Substitutions |
---|
| 37 | # include "domzgr_substitute.h90" |
---|
| 38 | # include "vectopt_loop_substitute.h90" |
---|
| 39 | !!---------------------------------------------------------------------- |
---|
| 40 | !! OPA 9.0 , LODYC-IPSL (2005) |
---|
| 41 | !! $Header$ |
---|
| 42 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
---|
| 43 | !!---------------------------------------------------------------------- |
---|
| 44 | |
---|
| 45 | CONTAINS |
---|
| 46 | |
---|
| 47 | SUBROUTINE dyn_spg_ts_jki( kt ) |
---|
| 48 | !!---------------------------------------------------------------------- |
---|
| 49 | !! *** routine dyn_spg_ts_jki *** |
---|
| 50 | !! |
---|
| 51 | !! ** Purpose : Compute the now trend due to the surface pressure |
---|
| 52 | !! gradient in case of free surface formulation with time-splitting. |
---|
| 53 | !! Add it to the general trend of momentum equation. |
---|
| 54 | !! Compute the free surface. |
---|
| 55 | !! |
---|
| 56 | !! ** Method : Free surface formulation with time-splitting |
---|
| 57 | !! -1- Save the vertically integrated trend. This general trend is |
---|
| 58 | !! held constant over the barotropic integration. |
---|
| 59 | !! The Coriolis force is removed from the general trend as the |
---|
| 60 | !! surface gradient and the Coriolis force are updated within |
---|
| 61 | !! the barotropic integration. |
---|
| 62 | !! -2- Barotropic loop : updates of sea surface height (ssha_e) and |
---|
| 63 | !! barotropic transports (ua_e and va_e) through barotropic |
---|
| 64 | !! momentum and continuity integration. Barotropic former |
---|
| 65 | !! variables are time averaging over the full barotropic cycle |
---|
| 66 | !! (= 2 * baroclinic time step) and saved in zsshX_b, zuX_b |
---|
| 67 | !! and zvX_b (X specifying after, now or before). |
---|
| 68 | !! -3- Update of sea surface height from time averaged barotropic |
---|
| 69 | !! variables. |
---|
| 70 | !! - apply lateral boundary conditions on sshn. |
---|
| 71 | !! -4- The new general trend becomes : |
---|
| 72 | !! ua = ua - sum_k(ua)/H + ( zua_b - sum_k(ub) )/H |
---|
| 73 | !! |
---|
| 74 | !! ** Action : - Update (ua,va) with the surf. pressure gradient trend |
---|
| 75 | !! |
---|
| 76 | !! References : |
---|
| 77 | !! Griffies et al., (2003): A technical guide to MOM4. NOAA/GFDL |
---|
| 78 | !! |
---|
| 79 | !! History : |
---|
| 80 | !! 9.0 ! 04-12 (L. Bessieres, G. Madec) Original code |
---|
| 81 | !! ! 05-11 (V. Garnier, G. Madec) optimization |
---|
| 82 | !!--------------------------------------------------------------------- |
---|
| 83 | !! * Arguments |
---|
| 84 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
---|
| 85 | |
---|
| 86 | !! * Local declarations |
---|
| 87 | INTEGER :: ji, jj, jk, jit ! dummy loop indices |
---|
| 88 | INTEGER :: icycle ! temporary scalar |
---|
| 89 | REAL(wp) :: & |
---|
| 90 | zraur, zcoef, z2dt_e, z2dt_b, zfac25, & ! temporary scalars |
---|
| 91 | zfact1, zspgu, zcubt, zx1, zy1, & ! " " |
---|
| 92 | zfact2, zspgv, zcvbt, zx2, zy2 ! " " |
---|
| 93 | REAL(wp), DIMENSION(jpi,jpj) :: & |
---|
| 94 | zcu, zcv, zwx, zwy, zhdiv, & ! temporary arrays |
---|
| 95 | zua, zva, zub, zvb, & ! " " |
---|
| 96 | zssha_b, zua_b, zva_b, & ! " " |
---|
| 97 | zsshb_e, zub_e, zvb_e, & ! " " |
---|
| 98 | zun_e, zvn_e ! " " |
---|
| 99 | REAL(wp), DIMENSION(jpi,jpj),SAVE :: & |
---|
| 100 | ztnw, ztne, ztsw, ztse |
---|
| 101 | !!---------------------------------------------------------------------- |
---|
| 102 | |
---|
| 103 | ! Arrays initialization |
---|
| 104 | ! --------------------- |
---|
| 105 | zua_b(:,:) = 0.e0 ; zub_e(:,:) = 0.e0 ; zun_e(:,:) = 0.e0 |
---|
| 106 | zva_b(:,:) = 0.e0 ; zvb_e(:,:) = 0.e0 ; zvn_e(:,:) = 0.e0 |
---|
| 107 | zhdiv(:,:) = 0.e0 |
---|
| 108 | |
---|
| 109 | IF( kt == nit000 ) THEN |
---|
| 110 | |
---|
| 111 | IF(lwp) WRITE(numout,*) |
---|
| 112 | IF(lwp) WRITE(numout,*) 'dyn_spg_ts_jki : surface pressure gradient trend' |
---|
| 113 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~ free surface with time splitting with j-k-i loop' |
---|
| 114 | IF(lwp) WRITE(numout,*) ' Number of sub cycle in 1 time-step (2 rdt) : icycle = ', FLOOR( 2*rdt/rdtbt ) |
---|
| 115 | |
---|
[374] | 116 | IF( .NOT. ln_rstart ) THEN |
---|
[371] | 117 | ! initialize barotropic specific arrays |
---|
| 118 | sshb_b(:,:) = sshb(:,:) |
---|
| 119 | sshn_b(:,:) = sshn(:,:) |
---|
| 120 | un_b(:,:) = 0.e0 |
---|
| 121 | vn_b(:,:) = 0.e0 |
---|
| 122 | ! vertical sum |
---|
| 123 | DO jk = 1, jpkm1 |
---|
| 124 | un_b(:,:) = un_b(:,:) + fse3u(:,:,jk) * un(:,:,jk) |
---|
| 125 | vn_b(:,:) = vn_b(:,:) + fse3v(:,:,jk) * vn(:,:,jk) |
---|
| 126 | END DO |
---|
| 127 | ENDIF |
---|
| 128 | ssha_e(:,:) = sshn(:,:) |
---|
| 129 | ua_e (:,:) = un_b(:,:) |
---|
| 130 | va_e (:,:) = vn_b(:,:) |
---|
| 131 | |
---|
| 132 | IF( ln_dynvor_een ) THEN |
---|
| 133 | ztne(1,:) = 0.e0 ; ztnw(1,:) = 0.e0 ; ztse(1,:) = 0.e0 ; ztsw(1,:) = 0.e0 |
---|
| 134 | DO jj = 2, jpj |
---|
| 135 | DO ji = 2, jpi |
---|
| 136 | ztne(ji,jj) = ( ff(ji-1,jj ) + ff(ji ,jj ) + ff(ji ,jj-1) ) / 3. |
---|
| 137 | ztnw(ji,jj) = ( ff(ji-1,jj-1) + ff(ji-1,jj ) + ff(ji ,jj ) ) / 3. |
---|
| 138 | ztse(ji,jj) = ( ff(ji ,jj ) + ff(ji ,jj-1) + ff(ji-1,jj-1) ) / 3. |
---|
| 139 | ztsw(ji,jj) = ( ff(ji ,jj-1) + ff(ji-1,jj-1) + ff(ji-1,jj ) ) / 3. |
---|
| 140 | END DO |
---|
| 141 | END DO |
---|
| 142 | ENDIF |
---|
| 143 | |
---|
| 144 | ENDIF |
---|
| 145 | |
---|
| 146 | ! Local constant initialization |
---|
| 147 | ! -------------------------------- |
---|
| 148 | z2dt_b = 2.0 * rdt ! baroclinic time step |
---|
| 149 | IF ( neuler == 0 .AND. kt == nit000 ) z2dt_b = rdt |
---|
[374] | 150 | zfact1 = 0.5 * 0.25 ! coefficient for vorticity estimates |
---|
[371] | 151 | zfact2 = 0.5 * 0.5 |
---|
[374] | 152 | zraur = 1. / rauw ! 1 / volumic mass of pure water |
---|
[371] | 153 | |
---|
| 154 | ! ----------------------------------------------------------------------------- |
---|
| 155 | ! Phase 1 : Coupling between general trend and barotropic estimates (1st step) |
---|
| 156 | ! ----------------------------------------------------------------------------- |
---|
| 157 | |
---|
| 158 | DO jj = 1, jpj |
---|
| 159 | |
---|
| 160 | ! variables for the barotropic equations |
---|
| 161 | zsshb_e(:,jj) = sshn_b(:,jj) ! (barotropic) sea surface height (before and now) |
---|
| 162 | sshn_e (:,jj) = sshn_b(:,jj) |
---|
| 163 | zub_e (:,jj) = un_b (:,jj) ! barotropic transports issued from the barotropic equations (before and now) |
---|
| 164 | zvb_e (:,jj) = vn_b (:,jj) |
---|
| 165 | zun_e (:,jj) = un_b (:,jj) |
---|
| 166 | zvn_e (:,jj) = vn_b (:,jj) |
---|
| 167 | zssha_b(:,jj) = sshn (:,jj) ! time averaged variables over all sub-timesteps |
---|
| 168 | zua_b (:,jj) = un_b (:,jj) |
---|
| 169 | zva_b (:,jj) = vn_b (:,jj) |
---|
| 170 | |
---|
| 171 | ! Vertically integrated quantities |
---|
| 172 | ! -------------------------------- |
---|
| 173 | zua(:,jj) = 0.e0 |
---|
| 174 | zva(:,jj) = 0.e0 |
---|
| 175 | zub(:,jj) = 0.e0 |
---|
| 176 | zvb(:,jj) = 0.e0 |
---|
| 177 | zwx(:,jj) = 0.e0 |
---|
| 178 | zwy(:,jj) = 0.e0 |
---|
| 179 | |
---|
| 180 | ! vertical sum |
---|
| 181 | DO jk = 1, jpkm1 |
---|
| 182 | ! ! Vertically integrated momentum trends |
---|
| 183 | zua(:,jj) = zua(:,jj) + fse3u(:,jj,jk) * umask(:,jj,jk) * ua(:,jj,jk) |
---|
| 184 | zva(:,jj) = zva(:,jj) + fse3v(:,jj,jk) * vmask(:,jj,jk) * va(:,jj,jk) |
---|
| 185 | ! ! Vertically integrated transports (before) |
---|
| 186 | zub(:,jj) = zub(:,jj) + fse3u(:,jj,jk) * ub(:,jj,jk) |
---|
| 187 | zvb(:,jj) = zvb(:,jj) + fse3v(:,jj,jk) * vb(:,jj,jk) |
---|
| 188 | ! ! Planetary vorticity (now) |
---|
| 189 | zwx(:,jj) = zwx(:,jj) + e2u(:,jj) * fse3u(:,jj,jk) * un(:,jj,jk) |
---|
| 190 | zwy(:,jj) = zwy(:,jj) + e1v(:,jj) * fse3v(:,jj,jk) * vn(:,jj,jk) |
---|
| 191 | END DO |
---|
| 192 | |
---|
| 193 | END DO |
---|
| 194 | |
---|
| 195 | DO jj = 2, jpjm1 |
---|
| 196 | |
---|
| 197 | IF( ln_dynvor_ene .OR. ln_dynvor_mix ) THEN ! energy conserving or mixed scheme |
---|
| 198 | DO ji = 2, jpim1 |
---|
| 199 | zy1 = ( zwy(ji,jj-1) + zwy(ji+1,jj-1) ) / e1u(ji,jj) |
---|
| 200 | zy2 = ( zwy(ji,jj ) + zwy(ji+1,jj ) ) / e1u(ji,jj) |
---|
| 201 | zx1 = ( zwx(ji-1,jj) + zwx(ji-1,jj+1) ) / e2v(ji,jj) |
---|
| 202 | zx2 = ( zwx(ji ,jj) + zwx(ji ,jj+1) ) / e2v(ji,jj) |
---|
| 203 | ! energy conserving formulation for planetary vorticity term |
---|
| 204 | zcu(ji,jj) = zfact2 * ( ff(ji ,jj-1) * zy1 + ff(ji,jj) * zy2 ) |
---|
| 205 | zcv(ji,jj) =-zfact2 * ( ff(ji-1,jj ) * zx1 + ff(ji,jj) * zx2 ) |
---|
| 206 | END DO |
---|
| 207 | |
---|
| 208 | ELSEIF ( ln_dynvor_ens ) THEN ! enstrophy conserving scheme |
---|
| 209 | DO ji = 2, jpim1 |
---|
| 210 | zy1 = zfact1 * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
---|
| 211 | + zwy(ji ,jj ) + zwy(ji+1,jj ) ) / e1u(ji,jj) |
---|
| 212 | zx1 =-zfact1 * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
---|
| 213 | + zwx(ji ,jj ) + zwx(ji ,jj+1) ) / e2v(ji,jj) |
---|
| 214 | zcu(ji,jj) = zy1 * ( ff(ji ,jj-1) + ff(ji,jj) ) |
---|
| 215 | zcv(ji,jj) = zx1 * ( ff(ji-1,jj ) + ff(ji,jj) ) |
---|
| 216 | END DO |
---|
| 217 | |
---|
| 218 | ELSEIF ( ln_dynvor_een ) THEN ! enstrophy and energy conserving scheme |
---|
| 219 | zfac25 = 0.25 |
---|
| 220 | DO ji = 2, jpim1 |
---|
| 221 | zcu(ji,jj) = + zfac25 / e1u(ji,jj) & |
---|
| 222 | & * ( ztne(ji,jj ) * zwy(ji ,jj ) + ztnw(ji+1,jj) * zwy(ji+1,jj ) & |
---|
| 223 | & + ztse(ji,jj ) * zwy(ji ,jj-1) + ztsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
---|
| 224 | zcv(ji,jj) = - zfac25 / e2v(ji,jj) & |
---|
| 225 | & * ( ztsw(ji,jj+1) * zwx(ji-1,jj+1) + ztse(ji,jj+1) * zwx(ji ,jj+1) & |
---|
| 226 | & + ztnw(ji,jj ) * zwx(ji-1,jj ) + ztne(ji,jj ) * zwx(ji ,jj ) ) |
---|
| 227 | END DO |
---|
| 228 | |
---|
| 229 | ENDIF |
---|
| 230 | |
---|
| 231 | |
---|
| 232 | ! Remove barotropic trend from general momentum trend |
---|
| 233 | DO jk = 1 , jpkm1 |
---|
| 234 | DO ji = 2, jpim1 |
---|
| 235 | ua(ji,jj,jk) = ua(ji,jj,jk) - zua(ji,jj) * hur(ji,jj) |
---|
| 236 | va(ji,jj,jk) = va(ji,jj,jk) - zva(ji,jj) * hvr(ji,jj) |
---|
| 237 | END DO |
---|
| 238 | END DO |
---|
| 239 | |
---|
| 240 | ! Remove coriolis term from barotropic trend |
---|
| 241 | ! ------------------------------------------ |
---|
| 242 | DO ji = 2, jpim1 |
---|
| 243 | zua(ji,jj) = zua(ji,jj) - zcu(ji,jj) |
---|
| 244 | zva(ji,jj) = zva(ji,jj) - zcv(ji,jj) |
---|
| 245 | END DO |
---|
| 246 | |
---|
| 247 | END DO |
---|
| 248 | |
---|
| 249 | ! ----------------------------------------------------------------------- |
---|
| 250 | ! Phase 2 : Integration of the barotropic equations with time splitting |
---|
| 251 | ! ----------------------------------------------------------------------- |
---|
| 252 | |
---|
| 253 | ! Initialisations |
---|
| 254 | !---------------- |
---|
| 255 | ! Number of iteration of the barotropic loop |
---|
| 256 | icycle = FLOOR( z2dt_b / rdtbt ) |
---|
| 257 | |
---|
| 258 | ! set ssh corrections to 0 |
---|
| 259 | ! ssh corrections are applied to normal velocities (Flather's algorithm) and averaged over the barotropic loop |
---|
| 260 | #if defined key_obc |
---|
| 261 | IF( lp_obc_east ) sshfoe_b(:,:) = 0.e0 |
---|
| 262 | IF( lp_obc_west ) sshfow_b(:,:) = 0.e0 |
---|
| 263 | IF( lp_obc_south ) sshfos_b(:,:) = 0.e0 |
---|
| 264 | IF( lp_obc_north ) sshfon_b(:,:) = 0.e0 |
---|
| 265 | #endif |
---|
| 266 | |
---|
| 267 | ! Barotropic integration over 2 baroclinic time steps |
---|
| 268 | ! --------------------------------------------------- |
---|
| 269 | |
---|
| 270 | ! ! ==================== ! |
---|
| 271 | DO jit = 1, icycle ! sub-time-step loop ! |
---|
| 272 | ! ! ==================== ! |
---|
| 273 | |
---|
| 274 | z2dt_e = 2. * rdtbt |
---|
| 275 | IF ( jit == 1 ) z2dt_e = rdtbt |
---|
| 276 | |
---|
| 277 | ! Time interpolation of open boundary condition data |
---|
| 278 | IF( lk_obc ) CALL obc_dta_bt( kt, jit ) |
---|
| 279 | |
---|
| 280 | DO jj = 2, jpjm1 |
---|
| 281 | |
---|
| 282 | ! Horizontal divergence of barotropic transports |
---|
| 283 | !-------------------------------------------------- |
---|
| 284 | DO ji = 2, jpim1 |
---|
| 285 | zhdiv(ji,jj) = ( e2u(ji ,jj ) * zun_e(ji ,jj) & |
---|
| 286 | & -e2u(ji-1,jj ) * zun_e(ji-1,jj) & |
---|
| 287 | & +e1v(ji ,jj ) * zvn_e(ji ,jj) & |
---|
| 288 | & -e1v(ji ,jj-1) * zvn_e(ji ,jj-1) ) & |
---|
| 289 | & / (e1t(ji,jj)*e2t(ji,jj)) |
---|
| 290 | END DO |
---|
| 291 | |
---|
| 292 | #if defined key_obc |
---|
| 293 | ! open boundaries (div must be zero behind the open boundary) |
---|
| 294 | ! mpp remark: The zeroing of zhdiv can probably be extended to 1->jpi/jpj for the correct row/column |
---|
| 295 | IF( lp_obc_east ) THEN |
---|
| 296 | IF( nje0 <= jj .AND. jj <= nje1 ) zhdiv(nie0p1:nie1p1,jj) = 0.e0 ! east |
---|
| 297 | ENDIF |
---|
| 298 | IF( lp_obc_west ) THEN |
---|
| 299 | IF( njw0 <= jj .AND. jj <= njw1 ) zhdiv(niw0 :niw1 ,jj) = 0.e0 ! west |
---|
| 300 | ENDIF |
---|
| 301 | IF( lp_obc_north ) THEN |
---|
| 302 | IF( njn0p1 <= jj .AND. jj <= njn1p1 ) zhdiv(nin0 :nin1 ,jj) = 0.e0 ! north |
---|
| 303 | ENDIF |
---|
| 304 | IF( lp_obc_south ) THEN |
---|
| 305 | IF( njs0 <= jj .AND. jj <= njs1 ) zhdiv(nis0 :nis1 ,jj) = 0.e0 ! south |
---|
| 306 | ENDIF |
---|
| 307 | #endif |
---|
| 308 | |
---|
| 309 | ! Sea surface height from the barotropic system |
---|
| 310 | !---------------------------------------------- |
---|
| 311 | DO ji = 2, jpim1 |
---|
| 312 | ssha_e(ji,jj) = ( zsshb_e(ji,jj) - z2dt_e * ( zraur * emp(ji,jj) & |
---|
| 313 | & + zhdiv(ji,jj) ) ) * tmask(ji,jj,1) |
---|
| 314 | END DO |
---|
| 315 | |
---|
| 316 | END DO |
---|
| 317 | |
---|
| 318 | ! evolution of the barotropic transport ( following the vorticity scheme used) |
---|
| 319 | ! ---------------------------------------------------------------------------- |
---|
| 320 | zwx(:,:) = e2u(:,:) * zun_e(:,:) |
---|
| 321 | zwy(:,:) = e1v(:,:) * zvn_e(:,:) |
---|
| 322 | |
---|
| 323 | DO jj = 2, jpjm1 |
---|
| 324 | |
---|
| 325 | IF( ln_dynvor_ene .OR. ln_dynvor_mix ) THEN ! energy conserving or mixed scheme |
---|
| 326 | DO ji = 2, jpim1 |
---|
| 327 | ! surface pressure gradient |
---|
| 328 | zspgu = -grav * ( sshn_e(ji+1,jj) - sshn_e(ji,jj) ) * hu(ji,jj) / e1u(ji,jj) |
---|
| 329 | zspgv = -grav * ( sshn_e(ji,jj+1) - sshn_e(ji,jj) ) * hv(ji,jj) / e2v(ji,jj) |
---|
| 330 | ! energy conserving formulation for planetary vorticity term |
---|
| 331 | zy1 = ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) ) / e1u(ji,jj) |
---|
| 332 | zy2 = ( zwy(ji ,jj ) + zwy(ji+1,jj ) ) / e1u(ji,jj) |
---|
| 333 | zx1 = ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) ) / e2v(ji,jj) |
---|
| 334 | zx2 = ( zwx(ji ,jj ) + zwx(ji ,jj+1) ) / e2v(ji,jj) |
---|
| 335 | zcubt = zfact2 * ( ff(ji ,jj-1) * zy1 + ff(ji,jj) * zy2 ) |
---|
| 336 | zcvbt =-zfact2 * ( ff(ji-1,jj ) * zx1 + ff(ji,jj) * zx2 ) |
---|
| 337 | ! after transports |
---|
| 338 | ua_e(ji,jj) = ( zub_e(ji,jj) + z2dt_e * ( zcubt + zspgu + zua(ji,jj) ) ) * umask(ji,jj,1) |
---|
| 339 | va_e(ji,jj) = ( zvb_e(ji,jj) + z2dt_e * ( zcvbt + zspgv + zva(ji,jj) ) ) * vmask(ji,jj,1) |
---|
| 340 | END DO |
---|
| 341 | |
---|
| 342 | ELSEIF ( ln_dynvor_ens ) THEN ! enstrophy conserving scheme |
---|
| 343 | DO ji = 2, jpim1 |
---|
| 344 | ! surface pressure gradient |
---|
| 345 | zspgu = -grav * ( sshn_e(ji+1,jj) - sshn_e(ji,jj) ) * hu(ji,jj) / e1u(ji,jj) |
---|
| 346 | zspgv = -grav * ( sshn_e(ji,jj+1) - sshn_e(ji,jj) ) * hv(ji,jj) / e2v(ji,jj) |
---|
| 347 | ! enstrophy conserving formulation for planetary vorticity term |
---|
| 348 | zy1 = zfact1 * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
---|
| 349 | + zwy(ji ,jj ) + zwy(ji+1,jj ) ) / e1u(ji,jj) |
---|
| 350 | zx1 =-zfact1 * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
---|
| 351 | + zwx(ji ,jj ) + zwx(ji ,jj+1) ) / e2v(ji,jj) |
---|
| 352 | zcubt = zy1 * ( ff(ji ,jj-1) + ff(ji,jj) ) |
---|
| 353 | zcvbt = zx1 * ( ff(ji-1,jj ) + ff(ji,jj) ) |
---|
| 354 | ! after transports |
---|
| 355 | ua_e(ji,jj) = ( zub_e(ji,jj) + z2dt_e * ( zcubt + zspgu + zua(ji,jj) ) ) * umask(ji,jj,1) |
---|
| 356 | va_e(ji,jj) = ( zvb_e(ji,jj) + z2dt_e * ( zcvbt + zspgv + zva(ji,jj) ) ) * vmask(ji,jj,1) |
---|
| 357 | END DO |
---|
| 358 | |
---|
| 359 | ELSEIF ( ln_dynvor_een ) THEN ! energy and enstrophy conserving scheme |
---|
| 360 | zfac25 = 0.25 |
---|
| 361 | DO ji = 2, jpim1 |
---|
| 362 | ! surface pressure gradient |
---|
| 363 | zspgu = -grav * ( sshn_e(ji+1,jj) - sshn_e(ji,jj) ) * hu(ji,jj) / e1u(ji,jj) |
---|
| 364 | zspgv = -grav * ( sshn_e(ji,jj+1) - sshn_e(ji,jj) ) * hv(ji,jj) / e2v(ji,jj) |
---|
| 365 | ! energy/enstrophy conserving formulation for planetary vorticity term |
---|
| 366 | zcubt = + zfac25 / e1u(ji,jj) * ( ztne(ji,jj ) * zwy(ji ,jj ) + ztnw(ji+1,jj) * zwy(ji+1,jj ) & |
---|
| 367 | & + ztse(ji,jj ) * zwy(ji ,jj-1) + ztsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
---|
| 368 | zcvbt = - zfac25 / e2v(ji,jj) * ( ztsw(ji,jj+1) * zwx(ji-1,jj+1) + ztse(ji,jj+1) * zwx(ji ,jj+1) & |
---|
| 369 | & + ztnw(ji,jj ) * zwx(ji-1,jj ) + ztne(ji,jj ) * zwx(ji ,jj ) ) |
---|
| 370 | ! after transports |
---|
| 371 | ua_e(ji,jj) = ( zub_e(ji,jj) + z2dt_e * ( zcubt + zspgu + zua(ji,jj) ) ) * umask(ji,jj,1) |
---|
| 372 | va_e(ji,jj) = ( zvb_e(ji,jj) + z2dt_e * ( zcvbt + zspgv + zva(ji,jj) ) ) * vmask(ji,jj,1) |
---|
| 373 | END DO |
---|
| 374 | ENDIF |
---|
| 375 | |
---|
| 376 | END DO |
---|
| 377 | |
---|
| 378 | |
---|
| 379 | ! Flather's boundary condition for the barotropic loop : |
---|
| 380 | ! - Update sea surface height on each open boundary |
---|
| 381 | ! - Correct the barotropic transports |
---|
| 382 | IF( lk_obc ) CALL obc_fla_ts |
---|
| 383 | |
---|
| 384 | ! ... Boundary conditions on ua_e, va_e, ssha_e |
---|
| 385 | CALL lbc_lnk( ua_e , 'U', -1. ) |
---|
| 386 | CALL lbc_lnk( va_e , 'V', -1. ) |
---|
| 387 | CALL lbc_lnk( ssha_e, 'T', 1. ) |
---|
| 388 | |
---|
| 389 | DO jj = 1, jpj |
---|
| 390 | |
---|
| 391 | ! temporal sum |
---|
| 392 | !------------- |
---|
| 393 | zssha_b(:,jj) = zssha_b(:,jj) + ssha_e(:,jj) |
---|
| 394 | zua_b (:,jj) = zua_b (:,jj) + ua_e (:,jj) |
---|
| 395 | zva_b (:,jj) = zva_b (:,jj) + va_e (:,jj) |
---|
| 396 | |
---|
| 397 | ! Time filter and swap of dynamics arrays |
---|
| 398 | ! --------------------------------------- |
---|
| 399 | IF( neuler == 0 .AND. kt == nit000 ) THEN ! Euler (forward) time stepping |
---|
| 400 | zsshb_e(:,jj) = sshn_e(:,jj) |
---|
| 401 | zub_e (:,jj) = zun_e (:,jj) |
---|
| 402 | zvb_e (:,jj) = zvn_e (:,jj) |
---|
| 403 | sshn_e (:,jj) = ssha_e(:,jj) |
---|
| 404 | zun_e (:,jj) = ua_e (:,jj) |
---|
| 405 | zvn_e (:,jj) = va_e (:,jj) |
---|
| 406 | ELSE ! Asselin filtering |
---|
| 407 | zsshb_e(:,jj) = atfp * ( zsshb_e(:,jj) + ssha_e(:,jj) ) + atfp1 * sshn_e (:,jj) |
---|
| 408 | zub_e (:,jj) = atfp * ( zub_e (:,jj) + ua_e (:,jj) ) + atfp1 * zun_e (:,jj) |
---|
| 409 | zvb_e (:,jj) = atfp * ( zvb_e (:,jj) + va_e (:,jj) ) + atfp1 * zvn_e (:,jj) |
---|
| 410 | sshn_e (:,jj) = ssha_e(:,jj) |
---|
| 411 | zun_e (:,jj) = ua_e (:,jj) |
---|
| 412 | zvn_e (:,jj) = va_e (:,jj) |
---|
| 413 | ENDIF |
---|
| 414 | |
---|
| 415 | END DO |
---|
| 416 | |
---|
| 417 | ! ! ==================== ! |
---|
| 418 | END DO ! end loop ! |
---|
| 419 | ! ! ==================== ! |
---|
| 420 | |
---|
| 421 | |
---|
| 422 | ! Time average of after barotropic variables |
---|
| 423 | zcoef = 1.e0 / ( FLOAT( icycle +1 ) ) |
---|
| 424 | zssha_b(:,:) = zcoef * zssha_b(:,:) |
---|
| 425 | zua_b (:,:) = zcoef * zua_b (:,:) |
---|
| 426 | zva_b (:,:) = zcoef * zva_b (:,:) |
---|
| 427 | #if defined key_obc |
---|
| 428 | IF( lp_obc_east ) sshfoe_b(:,:) = zcoef * sshfoe_b(:,:) |
---|
| 429 | IF( lp_obc_west ) sshfow_b(:,:) = zcoef * sshfow_b(:,:) |
---|
| 430 | IF( lp_obc_north ) sshfon_b(:,:) = zcoef * sshfon_b(:,:) |
---|
| 431 | IF( lp_obc_south ) sshfos_b(:,:) = zcoef * sshfos_b(:,:) |
---|
| 432 | #endif |
---|
| 433 | |
---|
| 434 | |
---|
| 435 | ! --------------------------------------------------------------------------- |
---|
| 436 | ! Phase 3 : Update sea surface height from time averaged barotropic variables |
---|
| 437 | ! --------------------------------------------------------------------------- |
---|
| 438 | |
---|
| 439 | sshb(:,:) = sshn(:,:) |
---|
| 440 | |
---|
| 441 | ! Horizontal divergence of time averaged barotropic transports |
---|
| 442 | !------------------------------------------------------------- |
---|
| 443 | DO jj = 2, jpjm1 |
---|
| 444 | DO ji = 2, jpim1 |
---|
| 445 | zhdiv(ji,jj) = ( e2u(ji,jj) * un_b(ji,jj) - e2u(ji-1,jj ) * un_b(ji-1,jj ) & |
---|
| 446 | & +e1v(ji,jj) * vn_b(ji,jj) - e1v(ji ,jj-1) * vn_b(ji ,jj-1) ) & |
---|
| 447 | & / ( e1t(ji,jj) * e2t(ji,jj) ) |
---|
| 448 | END DO |
---|
| 449 | |
---|
| 450 | #if defined key_obc |
---|
| 451 | ! open boundaries (div must be zero behind the open boundary) |
---|
| 452 | ! mpp remark: The zeroing of zhdiv can probably be extended to 1->jpi/jpj for the correct row/column |
---|
| 453 | IF( lp_obc_east ) THEN |
---|
| 454 | IF( nje0 <= jj .AND. jj <= nje1 ) zhdiv(nie0p1:nie1p1,jj) = 0.e0 ! east |
---|
| 455 | ENDIF |
---|
| 456 | IF( lp_obc_west ) THEN |
---|
| 457 | IF( njw0 <= jj .AND. jj <= njw1 ) zhdiv(niw0 :niw1 ,jj) = 0.e0 ! west |
---|
| 458 | ENDIF |
---|
| 459 | IF( lp_obc_north ) THEN |
---|
| 460 | IF( njn0p1 <= jj .AND. jj <= njn1p1 ) zhdiv(nin0 :nin1 ,jj) = 0.e0 ! north |
---|
| 461 | ENDIF |
---|
| 462 | IF( lp_obc_south ) THEN |
---|
| 463 | IF( njs0 <= jj .AND. jj <= njs1 ) zhdiv(nis0 :nis1 ,jj) = 0.e0 ! south |
---|
| 464 | ENDIF |
---|
| 465 | #endif |
---|
| 466 | |
---|
| 467 | ! sea surface height |
---|
| 468 | !------------------- |
---|
| 469 | DO ji = 2, jpim1 |
---|
| 470 | sshn(ji,jj) = ( sshb_b(ji,jj) - z2dt_b * ( zraur * emp(ji,jj) + zhdiv(ji,jj) ) ) * tmask(ji,jj,1) |
---|
| 471 | END DO |
---|
| 472 | |
---|
| 473 | END DO |
---|
| 474 | |
---|
| 475 | ! ... Boundary conditions on sshn |
---|
| 476 | IF( .NOT. lk_obc ) CALL lbc_lnk( sshn, 'T', 1. ) |
---|
| 477 | |
---|
| 478 | |
---|
| 479 | ! ----------------------------------------------------------------------------- |
---|
| 480 | ! Phase 4. Coupling between general trend and barotropic estimates - (2nd step) |
---|
| 481 | ! ----------------------------------------------------------------------------- |
---|
| 482 | |
---|
| 483 | DO jj = 1, jpj |
---|
| 484 | |
---|
| 485 | ! Swap on time averaged barotropic variables |
---|
| 486 | ! ------------------------------------------ |
---|
| 487 | sshb_b(:,jj) = sshn_b (:,jj) |
---|
| 488 | sshn_b(:,jj) = zssha_b(:,jj) |
---|
| 489 | un_b (:,jj) = zua_b (:,jj) |
---|
| 490 | vn_b (:,jj) = zva_b (:,jj) |
---|
| 491 | |
---|
| 492 | ! add time averaged barotropic coriolis and surface pressure gradient |
---|
| 493 | ! terms to the general momentum trend |
---|
| 494 | ! -------------------------------------------------------------------- |
---|
| 495 | DO jk = 1, jpkm1 |
---|
| 496 | ua(:,jj,jk) = ua(:,jj,jk) + hur(:,jj) * ( zua_b(:,jj) - zub(:,jj) ) / z2dt_b |
---|
| 497 | va(:,jj,jk) = va(:,jj,jk) + hvr(:,jj) * ( zva_b(:,jj) - zvb(:,jj) ) / z2dt_b |
---|
| 498 | END DO |
---|
| 499 | END DO |
---|
| 500 | |
---|
| 501 | IF(ln_ctl) THEN ! print sum trends (used for debugging) |
---|
| 502 | CALL prt_ctl(tab2d_1=sshn, clinfo1=' ssh : ', mask1=tmask) |
---|
| 503 | ENDIF |
---|
| 504 | |
---|
| 505 | END SUBROUTINE dyn_spg_ts_jki |
---|
| 506 | #else |
---|
| 507 | !!---------------------------------------------------------------------- |
---|
| 508 | !! Default case : Empty module No standart free surface cst volume |
---|
| 509 | !!---------------------------------------------------------------------- |
---|
| 510 | CONTAINS |
---|
| 511 | SUBROUTINE dyn_spg_ts_jki( kt ) ! Empty routine |
---|
| 512 | WRITE(*,*) 'dyn_spg_ts_jki: You should not have seen this print! error?', kt |
---|
| 513 | END SUBROUTINE dyn_spg_ts_jki |
---|
| 514 | #endif |
---|
| 515 | |
---|
| 516 | !!====================================================================== |
---|
| 517 | END MODULE dynspg_ts_jki |
---|