[3] | 1 | MODULE trazdf_iso |
---|
| 2 | !!============================================================================== |
---|
| 3 | !! *** MODULE trazdf_iso *** |
---|
| 4 | !! Ocean active tracers: vertical component of the tracer mixing trend |
---|
| 5 | !!============================================================================== |
---|
| 6 | #if defined key_ldfslp || defined key_esopa |
---|
| 7 | !!---------------------------------------------------------------------- |
---|
| 8 | !! 'key_ldfslp' rotation of the lateral mixing tensor |
---|
| 9 | !!---------------------------------------------------------------------- |
---|
| 10 | !! tra_zdf_iso : update the tracer trend with the vertical part of |
---|
| 11 | !! the isopycnal or geopotential s-coord. operator and |
---|
| 12 | !! the vertical diffusion |
---|
| 13 | !!---------------------------------------------------------------------- |
---|
| 14 | !! * Modules used |
---|
| 15 | USE oce ! ocean dynamics and tracers variables |
---|
| 16 | USE dom_oce ! ocean space and time domain variables |
---|
| 17 | USE ldfslp ! Make iso-neutral slopes available |
---|
[216] | 18 | USE ldftra_oce ! ocean active tracers: lateral physics |
---|
[3] | 19 | USE zdf_oce ! ocean vertical physics |
---|
| 20 | USE zdfddm ! ocean vertical physics: double diffusion |
---|
[216] | 21 | USE trdmod ! ocean active tracers trends |
---|
| 22 | USE trdmod_oce ! ocean variables trends |
---|
[3] | 23 | USE in_out_manager ! I/O manager |
---|
| 24 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
---|
| 25 | |
---|
| 26 | IMPLICIT NONE |
---|
| 27 | PRIVATE |
---|
| 28 | |
---|
| 29 | !! * Accessibility |
---|
| 30 | PUBLIC tra_zdf_iso ! routine called by step.F90 |
---|
| 31 | |
---|
| 32 | !! * Substitutions |
---|
| 33 | # include "domzgr_substitute.h90" |
---|
| 34 | # include "ldftra_substitute.h90" |
---|
| 35 | # include "ldfeiv_substitute.h90" |
---|
| 36 | # include "zdfddm_substitute.h90" |
---|
| 37 | !!---------------------------------------------------------------------- |
---|
| 38 | |
---|
| 39 | CONTAINS |
---|
| 40 | |
---|
| 41 | SUBROUTINE tra_zdf_iso( kt ) |
---|
| 42 | !!---------------------------------------------------------------------- |
---|
| 43 | !! *** ROUTINE tra_zdf_iso *** |
---|
| 44 | !! |
---|
| 45 | !! ** Purpose : |
---|
| 46 | !! Compute the trend due to the vertical tracer diffusion inclu- |
---|
| 47 | !! ding the vertical component of lateral mixing (only for second |
---|
| 48 | !! order operator, for fourth order it is already computed and |
---|
| 49 | !! add to the general trend in traldf.F) and add it to the general |
---|
| 50 | !! trend of the tracer equations. |
---|
| 51 | !! |
---|
| 52 | !! ** Method : |
---|
| 53 | !! The vertical component of the lateral diffusive trends is |
---|
| 54 | !! provided by a 2nd order operator rotated along neural or geopo- |
---|
| 55 | !! tential surfaces to which an eddy induced advection can be added |
---|
| 56 | !! It is computed using before fields (forward in time) and isopyc- |
---|
| 57 | !! nal or geopotential slopes computed in routine ldfslp. |
---|
| 58 | !! |
---|
| 59 | !! First part: vertical trends associated with the lateral mixing |
---|
| 60 | !! ========== (excluding the vertical flux proportional to dk[t] ) |
---|
| 61 | !! vertical fluxes associated with the rotated lateral mixing: |
---|
| 62 | !! zftw =-aht { e2t*wslpi di[ mi(mk(tb)) ] |
---|
| 63 | !! + e1t*wslpj dj[ mj(mk(tb)) ] } |
---|
| 64 | !! save avt coef. resulting from vertical physics alone in zavt: |
---|
| 65 | !! zavt = avt |
---|
| 66 | !! update and save in zavt the vertical eddy viscosity coefficient: |
---|
| 67 | !! avt = avt + wslpi^2+wslj^2 |
---|
| 68 | !! add vertical Eddy Induced advective fluxes ('lk_traldf_eiv=T): |
---|
| 69 | !! zftw = zftw + { di[aht e2u mi(wslpi)] |
---|
| 70 | !! +dj[aht e1v mj(wslpj)] } mk(tb) |
---|
| 71 | !! take the horizontal divergence of the fluxes: |
---|
| 72 | !! difft = 1/(e1t*e2t*e3t) dk[ zftw ] |
---|
| 73 | !! Add this trend to the general trend (ta,sa): |
---|
| 74 | !! ta = ta + difft |
---|
| 75 | !! |
---|
| 76 | !! Second part: vertical trend associated with the vertical physics |
---|
| 77 | !! =========== (including the vertical flux proportional to dk[t] |
---|
| 78 | !! associated with the lateral mixing, through the |
---|
| 79 | !! update of avt) |
---|
| 80 | !! The vertical diffusion of tracers (t & s) is given by: |
---|
| 81 | !! difft = dz( avt dz(t) ) = 1/e3t dk+1( avt/e3w dk(t) ) |
---|
| 82 | !! It is computed using a backward time scheme, t=ta. |
---|
| 83 | !! Surface and bottom boundary conditions: no diffusive flux on |
---|
| 84 | !! both tracers (bottom, applied through the masked field avt). |
---|
| 85 | !! Add this trend to the general trend ta,sa : |
---|
| 86 | !! ta = ta + dz( avt dz(t) ) |
---|
| 87 | !! (sa = sa + dz( avs dz(t) ) if lk_zdfddm=T ) |
---|
| 88 | !! |
---|
| 89 | !! Third part: recover avt resulting from the vertical physics |
---|
| 90 | !! ========== alone, for further diagnostics (for example to |
---|
[216] | 91 | !! compute the turbocline depth in zdfmxl.F90). |
---|
[3] | 92 | !! avt = zavt |
---|
| 93 | !! (avs = zavs if lk_zdfddm=T ) |
---|
| 94 | !! |
---|
| 95 | !! 'key_trdtra' defined: trend saved for futher diagnostics. |
---|
| 96 | !! |
---|
| 97 | !! macro-tasked on vertical slab (jj-loop) |
---|
| 98 | !! |
---|
| 99 | !! ** Action : |
---|
| 100 | !! Update (ta,sa) arrays with the before vertical diffusion trend |
---|
[216] | 101 | !! Save in (ztdta,ztdsa) arrays the trends if 'key_trdtra' defined |
---|
[3] | 102 | !! |
---|
| 103 | !! History : |
---|
| 104 | !! 7.0 ! 91-11 (G. Madec) Original code |
---|
| 105 | !! ! 92-06 (M. Imbard) correction on tracer trend loops |
---|
| 106 | !! ! 96-01 (G. Madec) statement function for e3 |
---|
| 107 | !! ! 97-05 (G. Madec) vertical component of isopycnal |
---|
| 108 | !! ! 97-07 (G. Madec) geopotential diffusion in s-coord |
---|
| 109 | !! ! 00-08 (G. Madec) double diffusive mixing |
---|
| 110 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
---|
[216] | 111 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
---|
[3] | 112 | !!--------------------------------------------------------------------- |
---|
[198] | 113 | !! * Modules used |
---|
| 114 | USE oce , & |
---|
| 115 | # if defined key_zdfddm |
---|
| 116 | zavs => va, & ! use va as workspace |
---|
| 117 | # endif |
---|
| 118 | zavt => ua ! use ua as workspace |
---|
| 119 | |
---|
[3] | 120 | !! * Arguments |
---|
| 121 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
---|
| 122 | |
---|
| 123 | !! * Local save |
---|
| 124 | REAL(wp), DIMENSION(jpk), SAVE :: & |
---|
| 125 | z2dt |
---|
| 126 | |
---|
| 127 | !! * Local declarations |
---|
| 128 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 129 | INTEGER :: ikst, ikenm2, ikstp1 ! temporary integers |
---|
| 130 | #if defined key_partial_steps |
---|
| 131 | INTEGER :: iku, ikv, ikv1 ! temporary integers |
---|
| 132 | #endif |
---|
| 133 | REAL(wp) :: zta, zsa |
---|
| 134 | REAL(wp) :: & |
---|
| 135 | zcoef0, zcoef3, & ! ??? |
---|
[34] | 136 | zcoef4, zavi, & ! ??? |
---|
[3] | 137 | zbtr, zmku, zmkv, & ! |
---|
[34] | 138 | ztav, zsav |
---|
[3] | 139 | REAL(wp), DIMENSION(jpi,jpk) :: & |
---|
| 140 | zwd, zws, zwi, & ! ??? |
---|
| 141 | zwx, zwy, zwz, zwt ! ??? |
---|
| 142 | REAL(wp), DIMENSION(jpi,jpk) :: & |
---|
| 143 | ztfw, zdit, zdjt, zdj1t, & |
---|
[198] | 144 | zsfw, zdis, zdjs, zdj1s |
---|
[216] | 145 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
---|
| 146 | ztavg, zsavg, & ! workspace arrays |
---|
| 147 | ztdta, ztdsa ! workspace arrays |
---|
[32] | 148 | #if defined key_traldf_eiv || defined key_esopa |
---|
[216] | 149 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
---|
[87] | 150 | ztfwg, zsfwg |
---|
[36] | 151 | REAL(wp) :: & |
---|
| 152 | zcoeg3, & |
---|
[34] | 153 | zuwk, zvwk, & |
---|
[36] | 154 | zuwki, zvwki |
---|
[3] | 155 | #endif |
---|
| 156 | !!--------------------------------------------------------------------- |
---|
| 157 | !! OPA 8.5, LODYC-IPSL (2002) |
---|
| 158 | !!--------------------------------------------------------------------- |
---|
| 159 | |
---|
| 160 | IF( kt == nit000 ) THEN |
---|
| 161 | IF(lwp) WRITE(numout,*) |
---|
| 162 | IF(lwp) WRITE(numout,*) 'tra_zdf_iso : vertical mixing (including isopycnal component)' |
---|
| 163 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
| 164 | #if defined key_diaeiv |
---|
| 165 | w_eiv(:,:,:) = 0.e0 |
---|
| 166 | #endif |
---|
| 167 | ENDIF |
---|
| 168 | |
---|
| 169 | ! 0. Local constant initialization |
---|
| 170 | ! -------------------------------- |
---|
[216] | 171 | ztavg(:,:,:) = 0.e0 |
---|
| 172 | zsavg(:,:,:) = 0.e0 |
---|
[3] | 173 | |
---|
| 174 | ! time step = 2 rdttra ex |
---|
| 175 | IF( neuler == 0 .AND. kt == nit000 ) THEN |
---|
| 176 | z2dt(:) = rdttra(:) ! restarting with Euler time stepping |
---|
| 177 | ELSEIF( kt <= nit000 + 1) THEN |
---|
| 178 | z2dt(:) = 2. * rdttra(:) ! leapfrog |
---|
| 179 | ENDIF |
---|
| 180 | |
---|
[216] | 181 | ! Save ta and sa trends |
---|
| 182 | IF( l_trdtra ) THEN |
---|
| 183 | ztdta(:,:,:) = ta(:,:,:) |
---|
| 184 | ztdsa(:,:,:) = sa(:,:,:) |
---|
| 185 | ENDIF |
---|
| 186 | |
---|
[3] | 187 | ! ! =============== |
---|
| 188 | DO jj = 2, jpjm1 ! Vertical slab |
---|
| 189 | ! ! =============== |
---|
| 190 | |
---|
| 191 | ! I. vertical trends associated with the lateral mixing |
---|
| 192 | ! ===================================================== |
---|
| 193 | ! (excluding the vertical flux proportional to dk[t] |
---|
| 194 | |
---|
| 195 | |
---|
| 196 | ! I.1 horizontal tracer gradient |
---|
| 197 | ! ------------------------------ |
---|
| 198 | |
---|
| 199 | DO jk = 1, jpkm1 |
---|
| 200 | DO ji = 1, jpim1 |
---|
| 201 | ! i-gradient of T and S at jj |
---|
| 202 | zdit (ji,jk) = ( tb(ji+1,jj,jk)-tb(ji,jj,jk) ) * umask(ji,jj,jk) |
---|
| 203 | zdis (ji,jk) = ( sb(ji+1,jj,jk)-sb(ji,jj,jk) ) * umask(ji,jj,jk) |
---|
| 204 | ! j-gradient of T and S at jj |
---|
| 205 | zdjt (ji,jk) = ( tb(ji,jj+1,jk)-tb(ji,jj,jk) ) * vmask(ji,jj,jk) |
---|
| 206 | zdjs (ji,jk) = ( sb(ji,jj+1,jk)-sb(ji,jj,jk) ) * vmask(ji,jj,jk) |
---|
| 207 | ! j-gradient of T and S at jj+1 |
---|
| 208 | zdj1t(ji,jk) = ( tb(ji,jj,jk)-tb(ji,jj-1,jk) ) * vmask(ji,jj-1,jk) |
---|
| 209 | zdj1s(ji,jk) = ( sb(ji,jj,jk)-sb(ji,jj-1,jk) ) * vmask(ji,jj-1,jk) |
---|
| 210 | END DO |
---|
| 211 | END DO |
---|
| 212 | # if defined key_partial_steps |
---|
| 213 | ! partial steps correction at the bottom ocean level |
---|
| 214 | DO ji = 1, jpim1 |
---|
| 215 | ! last ocean level |
---|
| 216 | iku = MIN( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
---|
| 217 | ikv = MIN( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
---|
| 218 | ikv1 = MIN( mbathy(ji,jj), mbathy(ji ,jj-1) ) - 1 |
---|
| 219 | ! i-gradient of T and S at jj |
---|
| 220 | zdit (ji,iku) = gtu(ji,jj) |
---|
| 221 | zdis (ji,iku) = gsu(ji,jj) |
---|
| 222 | ! j-gradient of T and S at jj |
---|
| 223 | zdjt (ji,ikv) = gtv(ji,jj) |
---|
| 224 | zdjs (ji,ikv) = gsv(ji,jj) |
---|
| 225 | ! j-gradient of T and S at jj+1 |
---|
| 226 | zdj1t(ji,ikv1)= gtv(ji,jj-1) |
---|
| 227 | zdj1s(ji,ikv1)= gsv(ji,jj-1) |
---|
| 228 | END DO |
---|
| 229 | #endif |
---|
| 230 | |
---|
| 231 | |
---|
| 232 | ! I.2 Vertical fluxes |
---|
| 233 | ! ------------------- |
---|
| 234 | |
---|
| 235 | ! Surface and bottom vertical fluxes set to zero |
---|
| 236 | ztfw(:, 1 ) = 0.e0 |
---|
| 237 | zsfw(:, 1 ) = 0.e0 |
---|
| 238 | ztfw(:,jpk) = 0.e0 |
---|
| 239 | zsfw(:,jpk) = 0.e0 |
---|
[34] | 240 | #if defined key_traldf_eiv |
---|
[216] | 241 | ztfwg(:,:, 1 ) = 0.e0 |
---|
| 242 | zsfwg(:,:, 1 ) = 0.e0 |
---|
| 243 | ztfwg(:,:,jpk) = 0.e0 |
---|
| 244 | zsfwg(:,:,jpk) = 0.e0 |
---|
[34] | 245 | #endif |
---|
[3] | 246 | |
---|
| 247 | ! interior (2=<jk=<jpk-1) |
---|
| 248 | DO jk = 2, jpkm1 |
---|
| 249 | DO ji = 2, jpim1 |
---|
| 250 | zcoef0 = - fsahtw(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 251 | |
---|
| 252 | zmku = 1./MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
---|
| 253 | & +umask(ji-1,jj,jk-1) + umask(ji ,jj,jk), 1. ) |
---|
| 254 | |
---|
| 255 | zmkv = 1./MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
---|
| 256 | & +vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk), 1. ) |
---|
| 257 | |
---|
| 258 | zcoef3 = zcoef0 * e2t(ji,jj) * zmku * wslpi (ji,jj,jk) |
---|
| 259 | zcoef4 = zcoef0 * e1t(ji,jj) * zmkv * wslpj (ji,jj,jk) |
---|
| 260 | |
---|
| 261 | ztfw(ji,jk) = zcoef3 * ( zdit (ji ,jk-1) + zdit (ji-1,jk) & |
---|
| 262 | & +zdit (ji-1,jk-1) + zdit (ji ,jk) ) & |
---|
| 263 | & + zcoef4 * ( zdjt (ji ,jk-1) + zdj1t(ji ,jk) & |
---|
| 264 | & +zdj1t(ji ,jk-1) + zdjt (ji ,jk) ) |
---|
| 265 | |
---|
| 266 | zsfw(ji,jk) = zcoef3 * ( zdis (ji ,jk-1) + zdis (ji-1,jk) & |
---|
| 267 | & +zdis (ji-1,jk-1) + zdis (ji ,jk) ) & |
---|
| 268 | & + zcoef4 * ( zdjs (ji ,jk-1) + zdj1s(ji ,jk) & |
---|
| 269 | & +zdj1s(ji ,jk-1) + zdjs (ji ,jk) ) |
---|
| 270 | END DO |
---|
| 271 | END DO |
---|
| 272 | |
---|
| 273 | |
---|
| 274 | ! I.3 update and save of avt (and avs if double diffusive mixing) |
---|
| 275 | ! --------------------------- |
---|
| 276 | |
---|
| 277 | DO jk = 2, jpkm1 |
---|
| 278 | DO ji = 2, jpim1 |
---|
| 279 | |
---|
| 280 | zavi = fsahtw(ji,jj,jk)*( wslpi(ji,jj,jk)*wslpi(ji,jj,jk) & |
---|
| 281 | & +wslpj(ji,jj,jk)*wslpj(ji,jj,jk) ) |
---|
| 282 | |
---|
| 283 | ! save avt in zavt to recover avt for mixed layer depth diag. |
---|
[198] | 284 | zavt(ji,jj,jk) = avt(ji,jj,jk) |
---|
[3] | 285 | ! add isopycnal vertical coeff. to avt |
---|
| 286 | avt(ji,jj,jk) = avt(ji,jj,jk) + zavi |
---|
| 287 | ! same procedure on avs if necessary |
---|
| 288 | #if defined key_zdfddm |
---|
| 289 | ! save avs in zavs to recover avs in output files |
---|
[198] | 290 | zavs(ji,jj,jk) = fsavs(ji,jj,jk) |
---|
[3] | 291 | ! add isopycnal vertical coeff. to avs |
---|
| 292 | fsavs(ji,jj,jk) = fsavs(ji,jj,jk) + zavi |
---|
| 293 | #endif |
---|
| 294 | END DO |
---|
| 295 | END DO |
---|
| 296 | |
---|
[34] | 297 | #if defined key_traldf_eiv |
---|
[3] | 298 | ! ! ---------------------------------------! |
---|
[34] | 299 | ! ! Eddy induced vertical advective fluxes ! |
---|
| 300 | ! ! ---------------------------------------! |
---|
[3] | 301 | #if defined key_traldf_c2d || defined key_traldf_c3d |
---|
| 302 | DO jk = 2, jpkm1 |
---|
| 303 | DO ji = 2, jpim1 |
---|
| 304 | zuwki = ( wslpi(ji,jj,jk) + wslpi(ji-1,jj,jk) ) & |
---|
| 305 | & * fsaeiu(ji-1,jj,jk) * e2u(ji-1,jj)*umask(ji-1,jj,jk) |
---|
| 306 | zuwk = ( wslpi(ji,jj,jk) + wslpi(ji+1,jj,jk) ) & |
---|
| 307 | & * fsaeiu(ji ,jj,jk) * e2u(ji ,jj)*umask(ji ,jj,jk) |
---|
| 308 | zvwki = ( wslpj(ji,jj,jk) + wslpj(ji,jj-1,jk) ) & |
---|
| 309 | & * fsaeiv(ji,jj-1,jk) * e1v(ji,jj-1)*vmask(ji,jj-1,jk) |
---|
| 310 | zvwk = ( wslpj(ji,jj,jk) + wslpj(ji,jj+1,jk) ) & |
---|
| 311 | & * fsaeiv(ji,jj ,jk) * e1v(ji ,jj)*vmask(ji ,jj,jk) |
---|
| 312 | |
---|
| 313 | zcoeg3 = + 0.25 * tmask(ji,jj,jk) * ( zuwk - zuwki + zvwk - zvwki ) |
---|
| 314 | |
---|
[216] | 315 | ztfwg(ji,jj,jk) = + zcoeg3 * ( tb(ji,jj,jk) + tb(ji,jj,jk-1) ) |
---|
| 316 | zsfwg(ji,jj,jk) = + zcoeg3 * ( sb(ji,jj,jk) + sb(ji,jj,jk-1) ) |
---|
[3] | 317 | |
---|
[216] | 318 | ztfw(ji,jk) = ztfw(ji,jk) + ztfwg(ji,jj,jk) |
---|
| 319 | zsfw(ji,jk) = zsfw(ji,jk) + zsfwg(ji,jj,jk) |
---|
[3] | 320 | # if defined key_diaeiv |
---|
| 321 | w_eiv(ji,jj,jk) = -2. * zcoeg3 / ( e1t(ji,jj)*e2t(ji,jj) ) |
---|
| 322 | # endif |
---|
| 323 | END DO |
---|
| 324 | END DO |
---|
| 325 | |
---|
| 326 | #else |
---|
| 327 | DO jk = 2, jpkm1 |
---|
| 328 | DO ji = 2, jpim1 |
---|
| 329 | zuwki = ( wslpi(ji,jj,jk) + wslpi(ji-1,jj,jk) ) & |
---|
| 330 | & * e2u(ji-1,jj)*umask(ji-1,jj,jk) |
---|
| 331 | zuwk = ( wslpi(ji,jj,jk) + wslpi(ji+1,jj,jk) ) & |
---|
| 332 | & * e2u(ji ,jj)*umask(ji ,jj,jk) |
---|
| 333 | zvwki = ( wslpj(ji,jj,jk) + wslpj(ji,jj-1,jk) ) & |
---|
| 334 | & * e1v(ji,jj-1)*vmask(ji,jj-1,jk) |
---|
| 335 | zvwk = ( wslpj(ji,jj,jk) + wslpj(ji,jj+1,jk) ) & |
---|
| 336 | & * e1v(ji ,jj)*vmask(ji ,jj,jk) |
---|
| 337 | |
---|
| 338 | zcoeg3 = + 0.25 * tmask(ji,jj,jk) * fsaeiw(ji,jj,jk) & |
---|
| 339 | & * ( zuwk - zuwki + zvwk - zvwki ) |
---|
| 340 | |
---|
[216] | 341 | ztfwg(ji,jj,jk) = + zcoeg3 * ( tb(ji,jj,jk) + tb(ji,jj,jk-1) ) |
---|
| 342 | zsfwg(ji,jj,jk) = + zcoeg3 * ( sb(ji,jj,jk) + sb(ji,jj,jk-1) ) |
---|
[3] | 343 | |
---|
[216] | 344 | ztfw(ji,jk) = ztfw(ji,jk) + ztfwg(ji,jj,jk) |
---|
| 345 | zsfw(ji,jk) = zsfw(ji,jk) + zsfwg(ji,jj,jk) |
---|
[3] | 346 | # if defined key_diaeiv |
---|
| 347 | w_eiv(ji,jj,jk) = -2. * zcoeg3 / ( e1t(ji,jj)*e2t(ji,jj) ) |
---|
| 348 | # endif |
---|
| 349 | END DO |
---|
| 350 | END DO |
---|
| 351 | #endif |
---|
| 352 | |
---|
[34] | 353 | #endif |
---|
| 354 | |
---|
[3] | 355 | ! I.5 Divergence of vertical fluxes added to the general tracer trend |
---|
| 356 | ! ------------------------------------------------------------------- |
---|
| 357 | |
---|
| 358 | DO jk = 1, jpkm1 |
---|
| 359 | DO ji = 2, jpim1 |
---|
| 360 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
---|
| 361 | ztav = ( ztfw(ji,jk) - ztfw(ji,jk+1) ) * zbtr |
---|
| 362 | zsav = ( zsfw(ji,jk) - zsfw(ji,jk+1) ) * zbtr |
---|
| 363 | ta(ji,jj,jk) = ta(ji,jj,jk) + ztav |
---|
| 364 | sa(ji,jj,jk) = sa(ji,jj,jk) + zsav |
---|
| 365 | END DO |
---|
| 366 | END DO |
---|
| 367 | ! ! =============== |
---|
| 368 | END DO ! End of slab |
---|
| 369 | ! ! =============== |
---|
| 370 | |
---|
[216] | 371 | ! save the trends for diagnostic |
---|
| 372 | ! WARNING jpttddoe is used here for vertical Gent velocity trend not for damping !!! |
---|
| 373 | IF( l_trdtra ) THEN |
---|
| 374 | # if defined key_traldf_eiv |
---|
| 375 | ! Compute the vertical Gent velocity trend |
---|
| 376 | ! ! =============== |
---|
| 377 | DO jj = 2, jpjm1 ! Vertical slab |
---|
| 378 | ! ! =============== |
---|
| 379 | DO jk = 1, jpkm1 |
---|
| 380 | DO ji = 2, jpim1 |
---|
| 381 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
---|
| 382 | ztavg(ji,jj,jk) = ( ztfwg(ji,jj,jk) - ztfwg(ji,jj,jk+1) ) * zbtr |
---|
| 383 | zsavg(ji,jj,jk) = ( zsfwg(ji,jj,jk) - zsfwg(ji,jj,jk+1) ) * zbtr |
---|
| 384 | END DO |
---|
| 385 | END DO |
---|
| 386 | ! ! =============== |
---|
| 387 | END DO ! End of slab |
---|
| 388 | ! ! =============== |
---|
[3] | 389 | |
---|
[216] | 390 | CALL trd_mod(ztavg, zsavg, jpttddoe, 'TRA', kt) |
---|
| 391 | # endif |
---|
| 392 | ! Recompute the divergence of vertical fluxes ztav & zsav trends |
---|
| 393 | ! computed at step 1.5 above in making the difference between the new |
---|
| 394 | ! trend ta()/sa() and the previous one ztdta()/ztdsa() and substract |
---|
| 395 | ! the vertical Gent velocity trend ztavg()/zsavg() (zero if not used) |
---|
| 396 | ztavg(:,:,:) = ta(:,:,:) - ztdta(:,:,:) - ztavg(:,:,:) |
---|
| 397 | zsavg(:,:,:) = sa(:,:,:) - ztdsa(:,:,:) - zsavg(:,:,:) |
---|
| 398 | |
---|
| 399 | ! Save the new ta and sa trends |
---|
| 400 | ztdta(:,:,:) = ta(:,:,:) |
---|
| 401 | ztdsa(:,:,:) = sa(:,:,:) |
---|
| 402 | ENDIF |
---|
| 403 | |
---|
[87] | 404 | IF(l_ctl) THEN ! print mean trends (used for debugging) |
---|
[106] | 405 | zta = SUM( ta(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
---|
| 406 | zsa = SUM( sa(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
---|
[3] | 407 | WRITE(numout,*) ' zdf 1- Ta: ', zta-t_ctl, ' Sa: ', zsa-s_ctl |
---|
| 408 | t_ctl = zta ; s_ctl = zsa |
---|
| 409 | ENDIF |
---|
| 410 | |
---|
| 411 | ! ! =============== |
---|
| 412 | DO jj = 2, jpjm1 ! Vertical slab |
---|
| 413 | ! ! =============== |
---|
| 414 | |
---|
| 415 | ! II. Vertical trend associated with the vertical physics |
---|
| 416 | ! ======================================================= |
---|
| 417 | ! (including the vertical flux proportional to dk[t] associated |
---|
| 418 | ! with the lateral mixing, through the avt update) |
---|
| 419 | ! dk[ avt dk[ (t,s) ] ] diffusive trends |
---|
| 420 | |
---|
| 421 | |
---|
| 422 | ! II.0 Matrix construction |
---|
| 423 | ! ------------------------ |
---|
| 424 | |
---|
| 425 | ! Diagonal, inferior, superior |
---|
| 426 | ! (including the bottom boundary condition via avt masked) |
---|
| 427 | DO jk = 1, jpkm1 |
---|
| 428 | DO ji = 2, jpim1 |
---|
| 429 | zwi(ji,jk) = - z2dt(jk) * avt(ji,jj,jk ) & |
---|
| 430 | / ( fse3t(ji,jj,jk) * fse3w(ji,jj,jk ) ) |
---|
| 431 | zws(ji,jk) = - z2dt(jk) * avt(ji,jj,jk+1) & |
---|
| 432 | / ( fse3t(ji,jj,jk) * fse3w(ji,jj,jk+1) ) |
---|
| 433 | zwd(ji,jk) = 1. - zwi(ji,jk) - zws(ji,jk) |
---|
| 434 | END DO |
---|
| 435 | END DO |
---|
| 436 | |
---|
| 437 | ! Surface boudary conditions |
---|
| 438 | DO ji = 2, jpim1 |
---|
| 439 | zwi(ji,1) = 0.e0 |
---|
| 440 | zwd(ji,1) = 1. - zws(ji,1) |
---|
| 441 | END DO |
---|
| 442 | |
---|
| 443 | |
---|
| 444 | ! II.1. Vertical diffusion on t |
---|
| 445 | ! --------------------------- |
---|
| 446 | |
---|
| 447 | ! Second member construction |
---|
| 448 | DO jk = 1, jpkm1 |
---|
| 449 | DO ji = 2, jpim1 |
---|
| 450 | zwy(ji,jk) = tb(ji,jj,jk) + z2dt(jk) * ta(ji,jj,jk) |
---|
| 451 | END DO |
---|
| 452 | END DO |
---|
| 453 | |
---|
| 454 | ! Matrix inversion from the first level |
---|
| 455 | ikst = 1 |
---|
| 456 | # include "zdf.matrixsolver.h90" |
---|
| 457 | |
---|
| 458 | ! Save the masked temperature after in ta |
---|
| 459 | ! (c a u t i o n: temperature not its trend, Leap-frog scheme done |
---|
| 460 | ! it will not be done in tranxt) |
---|
| 461 | DO jk = 1, jpkm1 |
---|
| 462 | DO ji = 2, jpim1 |
---|
| 463 | ta(ji,jj,jk) = zwx(ji,jk) * tmask(ji,jj,jk) |
---|
| 464 | END DO |
---|
| 465 | END DO |
---|
| 466 | |
---|
| 467 | |
---|
| 468 | ! II.2 Vertical diffusion on s |
---|
| 469 | ! --------------------------- |
---|
| 470 | |
---|
| 471 | #if defined key_zdfddm |
---|
| 472 | ! Rebuild the Matrix as avt /= avs |
---|
| 473 | |
---|
| 474 | ! Diagonal, inferior, superior |
---|
| 475 | ! (including the bottom boundary condition via avs masked) |
---|
| 476 | DO jk = 1, jpkm1 |
---|
| 477 | DO ji = 2, jpim1 |
---|
| 478 | zwi(ji,jk) = - z2dt(jk) * fsavs(ji,jj,jk ) & |
---|
| 479 | /( fse3t(ji,jj,jk) * fse3w(ji,jj,jk ) ) |
---|
| 480 | zws(ji,jk) = - z2dt(jk) * fsavs(ji,jj,jk+1) & |
---|
| 481 | /( fse3t(ji,jj,jk) * fse3w(ji,jj,jk+1) ) |
---|
| 482 | zwd(ji,jk) = 1. - zwi(ji,jk) - zws(ji,jk) |
---|
| 483 | END DO |
---|
| 484 | END DO |
---|
| 485 | |
---|
| 486 | ! Surface boudary conditions |
---|
| 487 | DO ji = 2, jpim1 |
---|
| 488 | zwi(ji,1) = 0.e0 |
---|
| 489 | zwd(ji,1) = 1. - zws(ji,1) |
---|
| 490 | END DO |
---|
| 491 | #endif |
---|
| 492 | ! Second member construction |
---|
| 493 | DO jk = 1, jpkm1 |
---|
| 494 | DO ji = 2, jpim1 |
---|
| 495 | zwy(ji,jk) = sb(ji,jj,jk) + z2dt(jk) * sa(ji,jj,jk) |
---|
| 496 | END DO |
---|
| 497 | END DO |
---|
| 498 | |
---|
| 499 | ! Matrix inversion from the first level |
---|
| 500 | ikst = 1 |
---|
| 501 | # include "zdf.matrixsolver.h90" |
---|
| 502 | |
---|
| 503 | ! Save the masked salinity after in sa |
---|
| 504 | ! (c a u t i o n: salinity not its trend, Leap-frog scheme done |
---|
| 505 | ! it will not be done in tranxt) |
---|
| 506 | DO jk = 1, jpkm1 |
---|
| 507 | DO ji = 2, jpim1 |
---|
| 508 | sa(ji,jj,jk) = zwx(ji,jk) * tmask(ji,jj,jk) |
---|
| 509 | END DO |
---|
| 510 | END DO |
---|
| 511 | |
---|
| 512 | |
---|
| 513 | ! III. recover the avt (avs) resulting from vertical physics only |
---|
| 514 | ! =============================================================== |
---|
| 515 | |
---|
| 516 | DO jk = 2, jpkm1 |
---|
| 517 | DO ji = 2, jpim1 |
---|
[198] | 518 | avt(ji,jj,jk) = zavt(ji,jj,jk) |
---|
[3] | 519 | #if defined key_zdfddm |
---|
[198] | 520 | fsavs(ji,jj,jk) = zavs(ji,jj,jk) |
---|
[3] | 521 | #endif |
---|
| 522 | END DO |
---|
| 523 | END DO |
---|
| 524 | |
---|
| 525 | ! ! =============== |
---|
| 526 | END DO ! End of slab |
---|
| 527 | ! ! =============== |
---|
| 528 | |
---|
[216] | 529 | ! save the trends for diagnostic |
---|
| 530 | ! compute the vertical diffusive trends in substracting the previous |
---|
| 531 | ! trends ztdta()/ztdsa() to the new one computed via dT/dt or dS/dt |
---|
| 532 | ! i.e. with the new temperature/salinity ta/sa computed above |
---|
| 533 | IF( l_trdtra ) THEN |
---|
| 534 | IF( l_traldf_iso) THEN |
---|
| 535 | DO jk = 1, jpkm1 |
---|
| 536 | ztdta(:,:,jk) = ( ( ta(:,:,jk) - tb(:,:,jk) ) / z2dt(jk) ) - ztdta(:,:,jk) + ztavg(:,:,jk) |
---|
| 537 | ztdsa(:,:,jk) = ( ( sa(:,:,jk) - sb(:,:,jk) ) / z2dt(jk) ) - ztdsa(:,:,jk) + zsavg(:,:,jk) |
---|
| 538 | END DO |
---|
| 539 | ELSE |
---|
| 540 | DO jk = 1, jpkm1 |
---|
| 541 | ztdta(:,:,jk) = ( ( ta(:,:,jk) - tb(:,:,jk) ) / z2dt(jk) ) - ztdta(:,:,jk) |
---|
| 542 | ztdsa(:,:,jk) = ( ( sa(:,:,jk) - sb(:,:,jk) ) / z2dt(jk) ) - ztdsa(:,:,jk) |
---|
| 543 | END DO |
---|
| 544 | ENDIF |
---|
| 545 | |
---|
| 546 | CALL trd_mod(ztdta, ztdsa, jpttdzdf, 'TRA', kt) |
---|
| 547 | ENDIF |
---|
| 548 | |
---|
[87] | 549 | IF(l_ctl) THEN ! print mean trends (used for debugging) |
---|
[106] | 550 | zta = SUM( ta(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
---|
| 551 | zsa = SUM( sa(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
---|
[3] | 552 | WRITE(numout,*) ' zdf 2- Ta: ', zta, ' Sa: ', zsa |
---|
| 553 | ENDIF |
---|
| 554 | |
---|
| 555 | END SUBROUTINE tra_zdf_iso |
---|
| 556 | |
---|
| 557 | #else |
---|
| 558 | !!---------------------------------------------------------------------- |
---|
| 559 | !! Dummy module NO rotation of the lateral mixing tensor |
---|
| 560 | !!---------------------------------------------------------------------- |
---|
| 561 | CONTAINS |
---|
| 562 | SUBROUTINE tra_zdf_iso( kt ) ! empty routine |
---|
[32] | 563 | WRITE(*,*) 'tra_zdf_iso: You should not have seen this print! error?', kt |
---|
[3] | 564 | END SUBROUTINE tra_zdf_iso |
---|
| 565 | #endif |
---|
| 566 | |
---|
| 567 | !!============================================================================== |
---|
| 568 | END MODULE trazdf_iso |
---|