| 1 | MODULE ldfslp |
|---|
| 2 | !!====================================================================== |
|---|
| 3 | !! *** MODULE ldfslp *** |
|---|
| 4 | !! Ocean physics: slopes of neutral surfaces |
|---|
| 5 | !!====================================================================== |
|---|
| 6 | #if defined key_ldfslp || defined key_esopa |
|---|
| 7 | !!---------------------------------------------------------------------- |
|---|
| 8 | !! 'key_ldfslp' Rotation of lateral mixing tensor |
|---|
| 9 | !!---------------------------------------------------------------------- |
|---|
| 10 | !! ldf_slp : compute the slopes of neutral surface |
|---|
| 11 | !! ldf_slp_mxl : compute the slopes of iso-neutral surface |
|---|
| 12 | !! ldf_slp_init : initialization of the slopes computation |
|---|
| 13 | !!---------------------------------------------------------------------- |
|---|
| 14 | !! * Modules used |
|---|
| 15 | USE oce ! ocean dynamics and tracers |
|---|
| 16 | USE dom_oce ! ocean space and time domain |
|---|
| 17 | USE ldftra_oce |
|---|
| 18 | USE ldfdyn_oce |
|---|
| 19 | USE phycst ! physical constants |
|---|
| 20 | USE zdfmxl ! mixed layer depth |
|---|
| 21 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
|---|
| 22 | USE in_out_manager ! I/O manager |
|---|
| 23 | |
|---|
| 24 | IMPLICIT NONE |
|---|
| 25 | PRIVATE |
|---|
| 26 | |
|---|
| 27 | !! * Accessibility |
|---|
| 28 | PUBLIC ldf_slp ! routine called by step.F90 |
|---|
| 29 | |
|---|
| 30 | !! * Share module variables |
|---|
| 31 | LOGICAL , PUBLIC, PARAMETER :: lk_ldfslp = .TRUE. !: slopes flag |
|---|
| 32 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: & !: |
|---|
| 33 | uslp, wslpi, & !: i_slope at U- and W-points |
|---|
| 34 | vslp, wslpj !: j-slope at V- and W-points |
|---|
| 35 | |
|---|
| 36 | !! * Module variables |
|---|
| 37 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
|---|
| 38 | omlmask ! mask of the surface mixed layer at T-pt |
|---|
| 39 | REAL(wp), DIMENSION(jpi,jpj) :: & |
|---|
| 40 | uslpml, wslpiml, & ! i_slope at U- and W-points just below |
|---|
| 41 | ! ! the surface mixed layer |
|---|
| 42 | vslpml, wslpjml ! j_slope at V- and W-points just below |
|---|
| 43 | ! ! the surface mixed layer |
|---|
| 44 | |
|---|
| 45 | !! * Substitutions |
|---|
| 46 | # include "domzgr_substitute.h90" |
|---|
| 47 | # include "vectopt_loop_substitute.h90" |
|---|
| 48 | !!---------------------------------------------------------------------- |
|---|
| 49 | !! OPA 9.0 , LODYC-IPSL (2003) |
|---|
| 50 | !!---------------------------------------------------------------------- |
|---|
| 51 | |
|---|
| 52 | CONTAINS |
|---|
| 53 | |
|---|
| 54 | SUBROUTINE ldf_slp( kt, prd, pn2 ) |
|---|
| 55 | !!---------------------------------------------------------------------- |
|---|
| 56 | !! *** ROUTINE ldf_slp *** |
|---|
| 57 | !! |
|---|
| 58 | !! ** Purpose : Compute the slopes of neutral surface (slope of iso- |
|---|
| 59 | !! pycnal surfaces referenced locally) ('key_traldfiso'). |
|---|
| 60 | !! |
|---|
| 61 | !! ** Method : The slope in the i-direction is computed at U- and |
|---|
| 62 | !! W-points (uslp, wslpi) and the slope in the j-direction is |
|---|
| 63 | !! computed at V- and W-points (vslp, wslpj). |
|---|
| 64 | !! They are bounded by 1/100 over the whole ocean, and within the |
|---|
| 65 | !! surface layer they are bounded by the distance to the surface |
|---|
| 66 | !! ( slope<= depth/l where l is the length scale of horizontal |
|---|
| 67 | !! diffusion (here, aht=2000m2/s ==> l=20km with a typical velocity |
|---|
| 68 | !! of 10cm/s) |
|---|
| 69 | !! A horizontal shapiro filter is applied to the slopes |
|---|
| 70 | !! 'key_s_coord' defined: add to the previously computed slopes |
|---|
| 71 | !! the slope of the model level surface. |
|---|
| 72 | !! macro-tasked on horizontal slab (jk-loop) (2, jpk-1) |
|---|
| 73 | !! [slopes already set to zero at level 1, and to zero or the ocean |
|---|
| 74 | !! bottom slope ('key_s_coord' defined) at level jpk in inildf] |
|---|
| 75 | !! |
|---|
| 76 | !! ** Action : - uslp, wslpi, and vslp, wslpj, the i- and j-slopes |
|---|
| 77 | !! of now neutral surfaces at u-, w- and v- w-points, resp. |
|---|
| 78 | !! |
|---|
| 79 | !! History : |
|---|
| 80 | !! 7.0 ! 94-12 (G. Madec, M. Imbard) Original code |
|---|
| 81 | !! 8.0 ! 97-06 (G. Madec) optimization, lbc |
|---|
| 82 | !! 8.1 ! 99-10 (A. Jouzeau) NEW profile |
|---|
| 83 | !! 8.5 ! 99-10 (G. Madec) Free form, F90 |
|---|
| 84 | !!---------------------------------------------------------------------- |
|---|
| 85 | !! * Modules used |
|---|
| 86 | USE oce , zgru => ua, & ! use ua as workspace |
|---|
| 87 | zgrv => va, & ! use va as workspace |
|---|
| 88 | zwy => ta, & ! use ta as workspace |
|---|
| 89 | zwz => sa ! use sa as workspace |
|---|
| 90 | !! * Arguments |
|---|
| 91 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
|---|
| 92 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
|---|
| 93 | prd, & ! in situ density |
|---|
| 94 | pn2 ! Brunt-Vaisala frequency (locally ref.) |
|---|
| 95 | |
|---|
| 96 | !! * Local declarations |
|---|
| 97 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 98 | INTEGER :: ii0, ii1, ij0, ij1 ! temporary integer |
|---|
| 99 | #if defined key_partial_steps |
|---|
| 100 | INTEGER :: iku, ikv ! temporary integers |
|---|
| 101 | #endif |
|---|
| 102 | REAL(wp) :: & |
|---|
| 103 | zeps, zmg, zm05g, zcoef1, zcoef2, & ! temporary scalars |
|---|
| 104 | zau, zbu, zav, zbv, & |
|---|
| 105 | zai, zbi, zaj, zbj, & |
|---|
| 106 | zcofu, zcofv, zcofw, & |
|---|
| 107 | z1u, z1v, z1wu, z1wv, & |
|---|
| 108 | zalpha |
|---|
| 109 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zww |
|---|
| 110 | !!---------------------------------------------------------------------- |
|---|
| 111 | |
|---|
| 112 | |
|---|
| 113 | ! 0. Initialization (first time-step only) |
|---|
| 114 | ! -------------- |
|---|
| 115 | |
|---|
| 116 | IF( kt == nit000 ) CALL ldf_slp_init |
|---|
| 117 | |
|---|
| 118 | |
|---|
| 119 | ! 0. Local constant initialization |
|---|
| 120 | ! -------------------------------- |
|---|
| 121 | |
|---|
| 122 | zeps = 1.e-20 |
|---|
| 123 | zmg = -1.0 / grav |
|---|
| 124 | zm05g = -0.5 / grav |
|---|
| 125 | |
|---|
| 126 | zww(:,:,:) = 0.e0 |
|---|
| 127 | zwz(:,:,:) = 0.e0 |
|---|
| 128 | |
|---|
| 129 | ! horizontal density gradient computation |
|---|
| 130 | DO jk = 1, jpk |
|---|
| 131 | DO jj = 1, jpjm1 |
|---|
| 132 | DO ji = 1, fs_jpim1 ! vector opt. |
|---|
| 133 | zgru(ji,jj,jk) = umask(ji,jj,jk) * ( prd(ji+1,jj ,jk) - prd(ji,jj,jk) ) |
|---|
| 134 | zgrv(ji,jj,jk) = vmask(ji,jj,jk) * ( prd(ji ,jj+1,jk) - prd(ji,jj,jk) ) |
|---|
| 135 | END DO |
|---|
| 136 | END DO |
|---|
| 137 | END DO |
|---|
| 138 | |
|---|
| 139 | #if defined key_partial_steps |
|---|
| 140 | ! partial steps correction at the bottom ocean level (zps_hde routine) |
|---|
| 141 | # if defined key_vectopt_loop && ! defined key_autotasking |
|---|
| 142 | jj = 1 |
|---|
| 143 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
|---|
| 144 | # else |
|---|
| 145 | DO jj = 1, jpjm1 |
|---|
| 146 | DO ji = 1, jpim1 |
|---|
| 147 | # endif |
|---|
| 148 | ! last ocean level |
|---|
| 149 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 |
|---|
| 150 | ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 |
|---|
| 151 | zgru(ji,jj,iku) = gru(ji,jj) |
|---|
| 152 | zgrv(ji,jj,ikv) = grv(ji,jj) |
|---|
| 153 | # if ! defined key_vectopt_loop || defined key_autotasking |
|---|
| 154 | END DO |
|---|
| 155 | # endif |
|---|
| 156 | END DO |
|---|
| 157 | #endif |
|---|
| 158 | |
|---|
| 159 | ! Slopes of isopycnal surfaces just below the mixed layer |
|---|
| 160 | ! ------------------------------------------------------- |
|---|
| 161 | |
|---|
| 162 | CALL ldf_slp_mxl( prd, pn2 ) |
|---|
| 163 | |
|---|
| 164 | !-------------------synchro--------------------------------------------- |
|---|
| 165 | |
|---|
| 166 | ! ! =============== |
|---|
| 167 | DO jk = 2, jpkm1 ! Horizontal slab |
|---|
| 168 | ! ! =============== |
|---|
| 169 | |
|---|
| 170 | ! I. slopes at u and v point |
|---|
| 171 | ! =========================== |
|---|
| 172 | |
|---|
| 173 | |
|---|
| 174 | ! I.1. Slopes of isopycnal surfaces |
|---|
| 175 | ! --------------------------------- |
|---|
| 176 | ! uslp = d/di( prd ) / d/dz( prd ) |
|---|
| 177 | ! vslp = d/dj( prd ) / d/dz( prd ) |
|---|
| 178 | |
|---|
| 179 | ! Local vertical density gradient evaluated from N^2 |
|---|
| 180 | ! zwy = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point |
|---|
| 181 | |
|---|
| 182 | DO jj = 1, jpj |
|---|
| 183 | DO ji = 1, jpi |
|---|
| 184 | zwy(ji,jj,jk) = zmg * ( prd(ji,jj,jk) + 1. ) & |
|---|
| 185 | & * ( pn2(ji,jj,jk) + pn2(ji,jj,jk+1) ) & |
|---|
| 186 | & / MAX( tmask(ji,jj,jk) + tmask (ji,jj,jk+1), 1. ) |
|---|
| 187 | END DO |
|---|
| 188 | END DO |
|---|
| 189 | |
|---|
| 190 | ! Slope at u and v points |
|---|
| 191 | DO jj = 2, jpjm1 |
|---|
| 192 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 193 | ! horizontal and vertical density gradient at u- and v-points |
|---|
| 194 | zau = 1. / e1u(ji,jj) * zgru(ji,jj,jk) |
|---|
| 195 | zav = 1. / e2v(ji,jj) * zgrv(ji,jj,jk) |
|---|
| 196 | zbu = 0.5 * ( zwy(ji,jj,jk) + zwy(ji+1,jj ,jk) ) |
|---|
| 197 | zbv = 0.5 * ( zwy(ji,jj,jk) + zwy(ji ,jj+1,jk) ) |
|---|
| 198 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
|---|
| 199 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
|---|
| 200 | zbu = MIN( zbu, -100.*ABS( zau ), -7.e+3/fse3u(ji,jj,jk)*ABS( zau ) ) |
|---|
| 201 | zbv = MIN( zbv, -100.*ABS( zav ), -7.e+3/fse3v(ji,jj,jk)*ABS( zav ) ) |
|---|
| 202 | ! uslp and vslp output in zwz and zww, resp. |
|---|
| 203 | zalpha = MAX( omlmask(ji,jj,jk), omlmask(ji+1,jj,jk) ) |
|---|
| 204 | #if defined key_s_coord |
|---|
| 205 | zwz (ji,jj,jk) = ( zau / ( zbu - zeps ) * ( 1. - zalpha) & |
|---|
| 206 | & + zalpha * uslpml(ji,jj) & |
|---|
| 207 | & * ( fsdepu(ji,jj,jk) - .5*fse3u(ji,jj,1) ) & |
|---|
| 208 | & / MAX( hmlpt(ji,jj), hmlpt(ji+1,jj), 5. ) ) & |
|---|
| 209 | & * umask(ji,jj,jk) |
|---|
| 210 | zalpha = MAX( omlmask(ji,jj,jk), omlmask(ji,jj+1,jk) ) |
|---|
| 211 | zww (ji,jj,jk) = ( zav / ( zbv - zeps ) * ( 1. - zalpha) & |
|---|
| 212 | & + zalpha * vslpml(ji,jj) & |
|---|
| 213 | & * ( fsdepv(ji,jj,jk) - .5*fse3v(ji,jj,1) ) & |
|---|
| 214 | & / MAX( hmlpt(ji,jj), hmlpt(ji,jj+1), 5. ) ) & |
|---|
| 215 | & * vmask(ji,jj,jk) |
|---|
| 216 | #else |
|---|
| 217 | ! z-coord and partial steps slope computed in the same way |
|---|
| 218 | zwz (ji,jj,jk) = ( zau / ( zbu - zeps ) * ( 1. - zalpha) & |
|---|
| 219 | & + zalpha * uslpml(ji,jj) & |
|---|
| 220 | & * ( fsdept(ji,jj,jk) - .5*fse3u(ji,jj,1)) & |
|---|
| 221 | & / MAX (hmlpt(ji,jj),hmlpt(ji+1,jj),5.) ) & |
|---|
| 222 | & * umask (ji,jj,jk) |
|---|
| 223 | zalpha = MAX(omlmask(ji,jj,jk),omlmask(ji,jj+1,jk)) |
|---|
| 224 | zww (ji,jj,jk) = ( zav / ( zbv - zeps ) * ( 1. - zalpha) & |
|---|
| 225 | & + zalpha * vslpml(ji,jj) & |
|---|
| 226 | & * ( fsdept(ji,jj,jk) - .5*fse3v(ji,jj,1)) & |
|---|
| 227 | & / MAX(hmlpt(ji,jj),hmlpt(ji,jj+1),5.) ) & |
|---|
| 228 | & * vmask (ji,jj,jk) |
|---|
| 229 | #endif |
|---|
| 230 | END DO |
|---|
| 231 | END DO |
|---|
| 232 | ! ! =============== |
|---|
| 233 | END DO ! end of slab |
|---|
| 234 | ! ! =============== |
|---|
| 235 | |
|---|
| 236 | |
|---|
| 237 | ! lateral boundary conditions on zww and zwz |
|---|
| 238 | CALL lbc_lnk( zwz, 'U', -1. ) |
|---|
| 239 | CALL lbc_lnk( zww, 'V', -1. ) |
|---|
| 240 | |
|---|
| 241 | ! ! =============== |
|---|
| 242 | DO jk = 2, jpkm1 ! Horizontal slab |
|---|
| 243 | ! ! =============== |
|---|
| 244 | |
|---|
| 245 | ! Shapiro filter applied in the horizontal direction |
|---|
| 246 | zcofu = 1. / 16. |
|---|
| 247 | zcofv = 1. / 16. |
|---|
| 248 | DO jj = 2, jpjm1, jpj-3 ! row jj=2 and =jpjm1 only |
|---|
| 249 | DO ji = 2, jpim1 |
|---|
| 250 | !uslop |
|---|
| 251 | uslp(ji,jj,jk) = zcofu * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
|---|
| 252 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
|---|
| 253 | & + 2.*(zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
|---|
| 254 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
|---|
| 255 | & + 4.* zwz(ji ,jj ,jk) ) |
|---|
| 256 | ! vslop |
|---|
| 257 | vslp(ji,jj,jk) = zcofv * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
|---|
| 258 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
|---|
| 259 | & + 2.*(zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
|---|
| 260 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
|---|
| 261 | & + 4.* zww(ji,jj ,jk) ) |
|---|
| 262 | END DO |
|---|
| 263 | END DO |
|---|
| 264 | |
|---|
| 265 | DO jj = 3, jpj-2 |
|---|
| 266 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 267 | ! uslop |
|---|
| 268 | uslp(ji,jj,jk) = zcofu * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
|---|
| 269 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
|---|
| 270 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
|---|
| 271 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
|---|
| 272 | & + 4.* zwz(ji ,jj ,jk) ) |
|---|
| 273 | ! vslop |
|---|
| 274 | vslp(ji,jj,jk) = zcofv * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
|---|
| 275 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
|---|
| 276 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
|---|
| 277 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
|---|
| 278 | & + 4.* zww(ji,jj ,jk) ) |
|---|
| 279 | END DO |
|---|
| 280 | END DO |
|---|
| 281 | |
|---|
| 282 | ! decrease along coastal boundaries |
|---|
| 283 | DO jj = 2, jpjm1 |
|---|
| 284 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 285 | z1u = ( umask(ji,jj+1,jk) + umask(ji,jj-1,jk) )*.5 |
|---|
| 286 | z1v = ( vmask(ji+1,jj,jk) + vmask(ji-1,jj,jk) )*.5 |
|---|
| 287 | z1wu = ( umask(ji,jj,jk) + umask(ji,jj,jk+1) )*.5 |
|---|
| 288 | z1wv = ( vmask(ji,jj,jk) + vmask(ji,jj,jk+1) )*.5 |
|---|
| 289 | uslp(ji,jj,jk) = uslp(ji,jj,jk) * z1u * z1wu |
|---|
| 290 | vslp(ji,jj,jk) = vslp(ji,jj,jk) * z1v * z1wv |
|---|
| 291 | END DO |
|---|
| 292 | END DO |
|---|
| 293 | |
|---|
| 294 | |
|---|
| 295 | IF( lk_sco ) THEN |
|---|
| 296 | ! Add the slope of level surfaces |
|---|
| 297 | ! ----------------------------------- |
|---|
| 298 | ! 'key_s_coord' defined but not 'key_traldfiso' the computation is done |
|---|
| 299 | ! in inildf, ldfslp never called |
|---|
| 300 | ! 'key_s_coord' and 'key_traldfiso' defined, the slope of level surfaces |
|---|
| 301 | ! is added to the slope of isopycnal surfaces. |
|---|
| 302 | ! c a u t i o n : minus sign as fsdep has positive value |
|---|
| 303 | |
|---|
| 304 | DO jj = 2, jpjm1 |
|---|
| 305 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 306 | uslp(ji,jj,jk) = uslp(ji,jj,jk) - 1. / e1u(ji,jj) & |
|---|
| 307 | & * ( fsdept(ji+1,jj,jk) - fsdept(ji,jj,jk) ) |
|---|
| 308 | vslp(ji,jj,jk) = vslp(ji,jj,jk) - 1. / e2v(ji,jj) & |
|---|
| 309 | & * ( fsdept(ji,jj+1,jk) - fsdept(ji,jj,jk) ) |
|---|
| 310 | END DO |
|---|
| 311 | END DO |
|---|
| 312 | ENDIF |
|---|
| 313 | |
|---|
| 314 | |
|---|
| 315 | ! II. Computation of slopes at w point |
|---|
| 316 | ! ==================================== |
|---|
| 317 | |
|---|
| 318 | |
|---|
| 319 | ! II.1 Slopes of isopycnal surfaces |
|---|
| 320 | ! --------------------------------- |
|---|
| 321 | ! wslpi = mij( d/di( prd ) / d/dz( prd ) |
|---|
| 322 | ! wslpj = mij( d/dj( prd ) / d/dz( prd ) |
|---|
| 323 | |
|---|
| 324 | |
|---|
| 325 | ! Local vertical density gradient evaluated from N^2 |
|---|
| 326 | ! zwy = d/dz(prd)= - mk ( prd ) / grav * pn2 -- at w point |
|---|
| 327 | DO jj = 1, jpj |
|---|
| 328 | DO ji = 1, jpi |
|---|
| 329 | zwy (ji,jj,jk) = zm05g * pn2 (ji,jj,jk) * & |
|---|
| 330 | & ( prd (ji,jj,jk) + prd (ji,jj,jk-1) + 2. ) |
|---|
| 331 | END DO |
|---|
| 332 | END DO |
|---|
| 333 | |
|---|
| 334 | ! Slope at w point |
|---|
| 335 | DO jj = 2, jpjm1 |
|---|
| 336 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 337 | ! horizontal density i-gradient at w-points |
|---|
| 338 | zcoef1 = MAX( zeps, umask(ji-1,jj,jk )+umask(ji,jj,jk ) & |
|---|
| 339 | & +umask(ji-1,jj,jk-1)+umask(ji,jj,jk-1) ) |
|---|
| 340 | zcoef1 = 1. / ( zcoef1 * e1t (ji,jj) ) |
|---|
| 341 | zai = zcoef1 * ( zgru(ji ,jj,jk ) + zgru(ji ,jj,jk-1) & |
|---|
| 342 | & + zgru(ji-1,jj,jk-1) + zgru(ji-1,jj,jk ) ) * tmask (ji,jj,jk) |
|---|
| 343 | ! horizontal density j-gradient at w-points |
|---|
| 344 | zcoef2 = MAX( zeps, vmask(ji,jj-1,jk )+vmask(ji,jj,jk-1) & |
|---|
| 345 | & +vmask(ji,jj-1,jk-1)+vmask(ji,jj,jk ) ) |
|---|
| 346 | zcoef2 = 1.0 / ( zcoef2 * e2t (ji,jj) ) |
|---|
| 347 | zaj = zcoef2 * ( zgrv(ji,jj ,jk ) + zgrv(ji,jj ,jk-1) & |
|---|
| 348 | & + zgrv(ji,jj-1,jk-1) + zgrv(ji,jj-1,jk ) ) * tmask (ji,jj,jk) |
|---|
| 349 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. |
|---|
| 350 | ! static instability: |
|---|
| 351 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
|---|
| 352 | zbi = MIN( zwy (ji,jj,jk),- 100.*ABS(zai), -7.e+3/fse3w(ji,jj,jk)*ABS(zai) ) |
|---|
| 353 | zbj = MIN( zwy (ji,jj,jk), -100.*ABS(zaj), -7.e+3/fse3w(ji,jj,jk)*ABS(zaj) ) |
|---|
| 354 | ! wslpi and wslpj output in zwz and zww, resp. |
|---|
| 355 | zalpha = MAX(omlmask(ji,jj,jk),omlmask(ji,jj,jk-1)) |
|---|
| 356 | zwz(ji,jj,jk) = ( zai / ( zbi - zeps) * ( 1. - zalpha ) & |
|---|
| 357 | & + zalpha * wslpiml(ji,jj) & |
|---|
| 358 | & * fsdepw(ji,jj,jk) / MAX( hmlp(ji,jj),10. ) ) & |
|---|
| 359 | & * tmask (ji,jj,jk) |
|---|
| 360 | zww(ji,jj,jk) = ( zaj / ( zbj - zeps) * ( 1. - zalpha ) & |
|---|
| 361 | & + zalpha * wslpjml(ji,jj) & |
|---|
| 362 | & * fsdepw(ji,jj,jk) / MAX( hmlp(ji,jj),10. ) ) & |
|---|
| 363 | & * tmask (ji,jj,jk) |
|---|
| 364 | END DO |
|---|
| 365 | END DO |
|---|
| 366 | ! ! =============== |
|---|
| 367 | END DO ! end of slab |
|---|
| 368 | ! ! =============== |
|---|
| 369 | |
|---|
| 370 | |
|---|
| 371 | ! lateral boundary conditions on zwz and zww |
|---|
| 372 | CALL lbc_lnk( zwz, 'T', -1. ) |
|---|
| 373 | CALL lbc_lnk( zww, 'T', -1. ) |
|---|
| 374 | |
|---|
| 375 | ! ! =============== |
|---|
| 376 | DO jk = 2, jpkm1 ! Horizontal slab |
|---|
| 377 | ! ! =============== |
|---|
| 378 | |
|---|
| 379 | ! Shapiro filter applied in the horizontal direction |
|---|
| 380 | |
|---|
| 381 | DO jj = 2, jpjm1, jpj-3 ! row jj=2 and =jpjm1 |
|---|
| 382 | DO ji = 2, jpim1 |
|---|
| 383 | zcofw = tmask(ji,jj,jk)/16. |
|---|
| 384 | wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
|---|
| 385 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
|---|
| 386 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
|---|
| 387 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
|---|
| 388 | & + 4.* zwz(ji ,jj ,jk) ) * zcofw |
|---|
| 389 | |
|---|
| 390 | wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
|---|
| 391 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
|---|
| 392 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
|---|
| 393 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
|---|
| 394 | & + 4.* zww(ji ,jj ,jk) ) * zcofw |
|---|
| 395 | END DO |
|---|
| 396 | END DO |
|---|
| 397 | |
|---|
| 398 | DO jj = 3, jpj-2 |
|---|
| 399 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 400 | zcofw = tmask(ji,jj,jk)/16. |
|---|
| 401 | wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
|---|
| 402 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
|---|
| 403 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
|---|
| 404 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
|---|
| 405 | & + 4.* zwz(ji ,jj ,jk) ) * zcofw |
|---|
| 406 | |
|---|
| 407 | wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
|---|
| 408 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
|---|
| 409 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
|---|
| 410 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
|---|
| 411 | & + 4.* zww(ji ,jj ,jk) ) * zcofw |
|---|
| 412 | END DO |
|---|
| 413 | END DO |
|---|
| 414 | |
|---|
| 415 | ! decrease the slope along the boundaries |
|---|
| 416 | DO jj = 2, jpjm1 |
|---|
| 417 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 418 | z1u = ( umask(ji,jj,jk) + umask(ji-1,jj,jk) ) *.5 |
|---|
| 419 | z1v = ( vmask(ji,jj,jk) + vmask(ji,jj-1,jk) ) *.5 |
|---|
| 420 | wslpi(ji,jj,jk) = wslpi(ji,jj,jk) * z1u * z1v |
|---|
| 421 | wslpj(ji,jj,jk) = wslpj(ji,jj,jk) * z1u * z1v |
|---|
| 422 | END DO |
|---|
| 423 | END DO |
|---|
| 424 | |
|---|
| 425 | IF( lk_sco ) THEN |
|---|
| 426 | |
|---|
| 427 | ! Slope of level surfaces |
|---|
| 428 | ! ----------------------- |
|---|
| 429 | ! 'key_s_coord' defined but not 'key_traldfiso' the computation is done |
|---|
| 430 | ! in inildf, ldfslp never called |
|---|
| 431 | ! 'key_s_coord' and 'key_traldfiso' defined, the slope of level surfaces |
|---|
| 432 | ! is added to the slope of isopycnal surfaces. |
|---|
| 433 | |
|---|
| 434 | DO jj = 2, jpjm1 |
|---|
| 435 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 436 | wslpi(ji,jj,jk) = wslpi(ji,jj,jk) - 1. / e1t(ji,jj) & |
|---|
| 437 | & * ( fsdepuw(ji+1,jj,jk) - fsdepuw(ji,jj,jk) ) |
|---|
| 438 | wslpj(ji,jj,jk) = wslpj(ji,jj,jk) - 1. / e2t(ji,jj) & |
|---|
| 439 | & * ( fsdepvw(ji,jj+1,jk) - fsdepvw(ji,jj,jk) ) |
|---|
| 440 | END DO |
|---|
| 441 | END DO |
|---|
| 442 | ENDIF |
|---|
| 443 | |
|---|
| 444 | ! III. Specific grid points |
|---|
| 445 | ! ------------------------- |
|---|
| 446 | |
|---|
| 447 | IF( cp_cfg == "orca" .AND. jp_cfg == 4 ) THEN |
|---|
| 448 | ! ! ======================= |
|---|
| 449 | ! Horizontal diffusion in ! ORCA_R4 configuration |
|---|
| 450 | ! specific area ! ======================= |
|---|
| 451 | ! |
|---|
| 452 | ! ! Gibraltar Strait |
|---|
| 453 | ij0 = 50 ; ij1 = 53 |
|---|
| 454 | ii0 = 69 ; ii1 = 71 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 |
|---|
| 455 | ij0 = 51 ; ij1 = 53 |
|---|
| 456 | ii0 = 68 ; ii1 = 71 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 |
|---|
| 457 | ii0 = 69 ; ii1 = 71 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 |
|---|
| 458 | ii0 = 69 ; ii1 = 71 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 |
|---|
| 459 | |
|---|
| 460 | ! ! Mediterrannean Sea |
|---|
| 461 | ij0 = 49 ; ij1 = 56 |
|---|
| 462 | ii0 = 71 ; ii1 = 90 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 |
|---|
| 463 | ij0 = 50 ; ij1 = 56 |
|---|
| 464 | ii0 = 70 ; ii1 = 90 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 |
|---|
| 465 | ii0 = 71 ; ii1 = 90 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 |
|---|
| 466 | ii0 = 71 ; ii1 = 90 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 |
|---|
| 467 | ENDIF |
|---|
| 468 | ! ! =============== |
|---|
| 469 | END DO ! end of slab |
|---|
| 470 | ! ! =============== |
|---|
| 471 | |
|---|
| 472 | |
|---|
| 473 | ! III Lateral boundary conditions on all slopes (uslp, vslp, |
|---|
| 474 | ! ------------------------------- wslpi,wslpj ) |
|---|
| 475 | CALL lbc_lnk( uslp , 'U', -1. ) |
|---|
| 476 | CALL lbc_lnk( vslp , 'V', -1. ) |
|---|
| 477 | CALL lbc_lnk( wslpi, 'W', -1. ) |
|---|
| 478 | CALL lbc_lnk( wslpj, 'W', -1. ) |
|---|
| 479 | |
|---|
| 480 | END SUBROUTINE ldf_slp |
|---|
| 481 | |
|---|
| 482 | |
|---|
| 483 | SUBROUTINE ldf_slp_mxl( prd, pn2 ) |
|---|
| 484 | !!---------------------------------------------------------------------- |
|---|
| 485 | !! *** ROUTINE ldf_slp_mxl *** |
|---|
| 486 | !! ** Purpose : |
|---|
| 487 | !! Compute the slopes of iso-neutral surface (slope of isopycnal |
|---|
| 488 | !! surfaces referenced locally) just above the mixed layer. |
|---|
| 489 | !! |
|---|
| 490 | !! ** Method : |
|---|
| 491 | !! The slope in the i-direction is computed at u- and w-points |
|---|
| 492 | !! (uslp, wslpi) and the slope in the j-direction is computed at |
|---|
| 493 | !! v- and w-points (vslp, wslpj). |
|---|
| 494 | !! They are bounded by 1/100 over the whole ocean, and within the |
|---|
| 495 | !! surface layer they are bounded by the distance to the surface |
|---|
| 496 | !! ( slope<= depth/l where l is the length scale of horizontal |
|---|
| 497 | !! diffusion (here, aht=2000m2/s ==> l=20km with a typical velocity |
|---|
| 498 | !! of 10cm/s) |
|---|
| 499 | !! |
|---|
| 500 | !! ** Action : |
|---|
| 501 | !! Compute uslp, wslpi, and vslp, wslpj, the i- and j-slopes |
|---|
| 502 | !! of now neutral surfaces at u-, w- and v- w-points, resp. |
|---|
| 503 | !! |
|---|
| 504 | !! History : |
|---|
| 505 | !! 8.1 ! 99-10 (A. Jouzeau) Original code |
|---|
| 506 | !! 8.5 ! 99-10 (G. Madec) Free form, F90 |
|---|
| 507 | !!---------------------------------------------------------------------- |
|---|
| 508 | !! * Modules used |
|---|
| 509 | USE oce , zgru => ua, & ! ua, va used as workspace and set to hor. |
|---|
| 510 | zgrv => va ! density gradient in ldf_slp |
|---|
| 511 | |
|---|
| 512 | !! * Arguments |
|---|
| 513 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
|---|
| 514 | prd, & ! in situ density |
|---|
| 515 | pn2 ! Brunt-Vaisala frequency (locally ref.) |
|---|
| 516 | |
|---|
| 517 | !! * Local declarations |
|---|
| 518 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 519 | INTEGER :: ik, ikm1 ! temporary integers |
|---|
| 520 | REAL(wp), DIMENSION(jpi,jpj) :: & |
|---|
| 521 | zwy ! temporary workspace |
|---|
| 522 | REAL(wp) :: & |
|---|
| 523 | zeps, zmg, zm05g, & ! temporary scalars |
|---|
| 524 | zcoef1, zcoef2, & ! " " |
|---|
| 525 | zau, zbu, zav, zbv, & ! " " |
|---|
| 526 | zai, zbi, zaj, zbj ! " " |
|---|
| 527 | !!---------------------------------------------------------------------- |
|---|
| 528 | |
|---|
| 529 | |
|---|
| 530 | ! 0. Local constant initialization |
|---|
| 531 | ! -------------------------------- |
|---|
| 532 | |
|---|
| 533 | zeps = 1.e-20 |
|---|
| 534 | zmg = -1.0 / grav |
|---|
| 535 | zm05g = -0.5 / grav |
|---|
| 536 | |
|---|
| 537 | |
|---|
| 538 | uslpml (1,:) = 0.e0 ; uslpml (jpi,:) = 0.e0 |
|---|
| 539 | vslpml (1,:) = 0.e0 ; vslpml (jpi,:) = 0.e0 |
|---|
| 540 | wslpiml(1,:) = 0.e0 ; wslpiml(jpi,:) = 0.e0 |
|---|
| 541 | wslpjml(1,:) = 0.e0 ; wslpjml(jpi,:) = 0.e0 |
|---|
| 542 | |
|---|
| 543 | ! surface mixed layer mask |
|---|
| 544 | |
|---|
| 545 | ! mask for mixed layer |
|---|
| 546 | DO jk = 1, jpk |
|---|
| 547 | # if defined key_vectopt_loop && ! defined key_autotasking |
|---|
| 548 | jj = 1 |
|---|
| 549 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
|---|
| 550 | # else |
|---|
| 551 | DO jj = 1, jpj |
|---|
| 552 | DO ji = 1, jpi |
|---|
| 553 | # endif |
|---|
| 554 | ! mixed layer interior (mask = 1) and exterior (mask = 0) |
|---|
| 555 | ik = nmln(ji,jj) - 1 |
|---|
| 556 | IF( jk <= ik ) THEN |
|---|
| 557 | omlmask(ji,jj,jk) = 1.e0 |
|---|
| 558 | ELSE |
|---|
| 559 | omlmask(ji,jj,jk) = 0.e0 |
|---|
| 560 | ENDIF |
|---|
| 561 | # if ! defined key_vectopt_loop || defined key_autotasking |
|---|
| 562 | END DO |
|---|
| 563 | # endif |
|---|
| 564 | END DO |
|---|
| 565 | END DO |
|---|
| 566 | |
|---|
| 567 | |
|---|
| 568 | ! Slopes of isopycnal surfaces just before bottom of mixed layer |
|---|
| 569 | ! -------------------------------------------------------------- |
|---|
| 570 | ! uslpml = d/di( prd ) / d/dz( prd ) |
|---|
| 571 | ! vslpml = d/dj( prd ) / d/dz( prd ) |
|---|
| 572 | |
|---|
| 573 | ! Local vertical density gradient evaluated from N^2 |
|---|
| 574 | ! zwy = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point |
|---|
| 575 | |
|---|
| 576 | !----------------------------------------------------------------------- |
|---|
| 577 | zwy(:,jpj) = 0.e0 |
|---|
| 578 | zwy(jpi,:) = 0.e0 |
|---|
| 579 | # if defined key_vectopt_loop && ! defined key_autotasking |
|---|
| 580 | jj = 1 |
|---|
| 581 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
|---|
| 582 | # else |
|---|
| 583 | DO jj = 1, jpjm1 |
|---|
| 584 | DO ji = 1, jpim1 |
|---|
| 585 | # endif |
|---|
| 586 | ik = MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) |
|---|
| 587 | ! if ik = jpk take jpkm1 values |
|---|
| 588 | ik = MIN( ik,jpkm1 ) |
|---|
| 589 | zwy(ji,jj) = zmg * ( prd(ji,jj,ik) + 1. ) & |
|---|
| 590 | & * ( pn2(ji,jj,ik) + pn2(ji,jj,ik+1) ) & |
|---|
| 591 | & / MAX( tmask(ji,jj,ik) + tmask (ji,jj,ik+1), 1. ) |
|---|
| 592 | # if ! defined key_vectopt_loop || defined key_autotasking |
|---|
| 593 | END DO |
|---|
| 594 | # endif |
|---|
| 595 | END DO |
|---|
| 596 | ! lateral boundary conditions on zwy |
|---|
| 597 | CALL lbc_lnk( zwy, 'U', -1. ) |
|---|
| 598 | |
|---|
| 599 | ! Slope at u points |
|---|
| 600 | # if defined key_vectopt_loop && ! defined key_autotasking |
|---|
| 601 | jj = 1 |
|---|
| 602 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
|---|
| 603 | # else |
|---|
| 604 | DO jj = 2, jpjm1 |
|---|
| 605 | DO ji = 2, jpim1 |
|---|
| 606 | # endif |
|---|
| 607 | ! horizontal and vertical density gradient at u-points |
|---|
| 608 | ik = MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) |
|---|
| 609 | ik = MIN( ik,jpkm1 ) |
|---|
| 610 | zau = 1./ e1u(ji,jj) * zgru(ji,jj,ik) |
|---|
| 611 | zbu = 0.5*( zwy(ji,jj) + zwy(ji+1,jj) ) |
|---|
| 612 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
|---|
| 613 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
|---|
| 614 | zbu = MIN( zbu, -100.*ABS(zau), -7.e+3/fse3u(ji,jj,ik)*ABS(zau) ) |
|---|
| 615 | ! uslpml |
|---|
| 616 | uslpml (ji,jj) = zau / ( zbu - zeps ) * umask (ji,jj,ik) |
|---|
| 617 | # if ! defined key_vectopt_loop || defined key_autotasking |
|---|
| 618 | END DO |
|---|
| 619 | # endif |
|---|
| 620 | END DO |
|---|
| 621 | |
|---|
| 622 | ! lateral boundary conditions on uslpml |
|---|
| 623 | CALL lbc_lnk( uslpml, 'U', -1. ) |
|---|
| 624 | |
|---|
| 625 | ! Local vertical density gradient evaluated from N^2 |
|---|
| 626 | ! zwy = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point |
|---|
| 627 | zwy ( :, jpj) = 0.0e0 |
|---|
| 628 | zwy ( jpi, :) = 0.0e0 |
|---|
| 629 | # if defined key_vectopt_loop && ! defined key_autotasking |
|---|
| 630 | jj = 1 |
|---|
| 631 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
|---|
| 632 | # else |
|---|
| 633 | DO jj = 1, jpjm1 |
|---|
| 634 | DO ji = 1, jpim1 |
|---|
| 635 | # endif |
|---|
| 636 | ik = MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) |
|---|
| 637 | ik = MIN( ik,jpkm1 ) |
|---|
| 638 | zwy(ji,jj) = zmg * ( prd(ji,jj,ik) + 1. ) & |
|---|
| 639 | & * ( pn2(ji,jj,ik) + pn2(ji,jj,ik+1) ) & |
|---|
| 640 | & / MAX( tmask(ji,jj,ik) + tmask (ji,jj,ik+1), 1. ) |
|---|
| 641 | # if ! defined key_vectopt_loop || defined key_autotasking |
|---|
| 642 | END DO |
|---|
| 643 | # endif |
|---|
| 644 | END DO |
|---|
| 645 | |
|---|
| 646 | ! lateral boundary conditions on zwy |
|---|
| 647 | CALL lbc_lnk( zwy, 'V', -1. ) |
|---|
| 648 | |
|---|
| 649 | ! Slope at v points |
|---|
| 650 | # if defined key_vectopt_loop && ! defined key_autotasking |
|---|
| 651 | jj = 1 |
|---|
| 652 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
|---|
| 653 | # else |
|---|
| 654 | DO jj = 2, jpjm1 |
|---|
| 655 | DO ji = 2, jpim1 |
|---|
| 656 | # endif |
|---|
| 657 | ! horizontal and vertical density gradient at v-points |
|---|
| 658 | ik = MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) |
|---|
| 659 | ik = MIN( ik,jpkm1 ) |
|---|
| 660 | zav = 1./ e2v(ji,jj) * zgrv(ji,jj,ik) |
|---|
| 661 | zbv = 0.5*( zwy(ji,jj) + zwy(ji,jj+1) ) |
|---|
| 662 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
|---|
| 663 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
|---|
| 664 | zbv = MIN( zbv, -100.*ABS(zav), -7.e+3/fse3v(ji,jj,ik)*ABS( zav ) ) |
|---|
| 665 | ! vslpml |
|---|
| 666 | vslpml (ji,jj) = zav / ( zbv - zeps ) * vmask (ji,jj,ik) |
|---|
| 667 | # if ! defined key_vectopt_loop || defined key_autotasking |
|---|
| 668 | END DO |
|---|
| 669 | # endif |
|---|
| 670 | END DO |
|---|
| 671 | |
|---|
| 672 | ! lateral boundary conditions on vslpml |
|---|
| 673 | CALL lbc_lnk( vslpml, 'V', -1. ) |
|---|
| 674 | |
|---|
| 675 | ! wslpiml = mij( d/di( prd ) / d/dz( prd ) |
|---|
| 676 | ! wslpjml = mij( d/dj( prd ) / d/dz( prd ) |
|---|
| 677 | |
|---|
| 678 | |
|---|
| 679 | ! Local vertical density gradient evaluated from N^2 |
|---|
| 680 | ! zwy = d/dz(prd)= - mk ( prd ) / grav * pn2 -- at w point |
|---|
| 681 | # if defined key_vectopt_loop && ! defined key_autotasking |
|---|
| 682 | jj = 1 |
|---|
| 683 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
|---|
| 684 | # else |
|---|
| 685 | DO jj = 1, jpj |
|---|
| 686 | DO ji = 1, jpi |
|---|
| 687 | # endif |
|---|
| 688 | ik = nmln(ji,jj)+1 |
|---|
| 689 | ik = MIN( ik,jpk ) |
|---|
| 690 | ikm1 = MAX ( 1, ik-1) |
|---|
| 691 | zwy (ji,jj) = zm05g * pn2 (ji,jj,ik) * & |
|---|
| 692 | & ( prd (ji,jj,ik) + prd (ji,jj,ikm1) + 2. ) |
|---|
| 693 | # if ! defined key_vectopt_loop || defined key_autotasking |
|---|
| 694 | END DO |
|---|
| 695 | # endif |
|---|
| 696 | END DO |
|---|
| 697 | |
|---|
| 698 | ! Slope at w point |
|---|
| 699 | # if defined key_vectopt_loop && ! defined key_autotasking |
|---|
| 700 | jj = 1 |
|---|
| 701 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
|---|
| 702 | # else |
|---|
| 703 | DO jj = 2, jpjm1 |
|---|
| 704 | DO ji = 2, jpim1 |
|---|
| 705 | # endif |
|---|
| 706 | ik = nmln(ji,jj)+1 |
|---|
| 707 | ik = MIN( ik,jpk ) |
|---|
| 708 | ikm1 = MAX ( 1, ik-1) |
|---|
| 709 | ! horizontal density i-gradient at w-points |
|---|
| 710 | zcoef1 = MAX( zeps, umask(ji-1,jj,ik )+umask(ji,jj,ik ) & |
|---|
| 711 | & +umask(ji-1,jj,ikm1)+umask(ji,jj,ikm1) ) |
|---|
| 712 | zcoef1 = 1. / ( zcoef1 * e1t (ji,jj) ) |
|---|
| 713 | zai = zcoef1 * ( zgru(ji ,jj,ik ) + zgru(ji ,jj,ikm1) & |
|---|
| 714 | & + zgru(ji-1,jj,ikm1) + zgru(ji-1,jj,ik ) ) * tmask (ji,jj,ik) |
|---|
| 715 | ! horizontal density j-gradient at w-points |
|---|
| 716 | zcoef2 = MAX( zeps, vmask(ji,jj-1,ik )+vmask(ji,jj,ikm1) & |
|---|
| 717 | & +vmask(ji,jj-1,ikm1)+vmask(ji,jj,ik ) ) |
|---|
| 718 | zcoef2 = 1.0 / ( zcoef2 * e2t (ji,jj) ) |
|---|
| 719 | zaj = zcoef2 * ( zgrv(ji,jj ,ik ) + zgrv(ji,jj ,ikm1) & |
|---|
| 720 | & + zgrv(ji,jj-1,ikm1) + zgrv(ji,jj-1,ik ) ) * tmask (ji,jj,ik) |
|---|
| 721 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. |
|---|
| 722 | ! static instability: |
|---|
| 723 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
|---|
| 724 | zbi = MIN ( zwy (ji,jj),- 100.*ABS(zai), -7.e+3/fse3w(ji,jj,ik)*ABS(zai) ) |
|---|
| 725 | zbj = MIN ( zwy (ji,jj), -100.*ABS(zaj), -7.e+3/fse3w(ji,jj,ik)*ABS(zaj) ) |
|---|
| 726 | ! wslpiml and wslpjml |
|---|
| 727 | wslpiml (ji,jj) = zai / ( zbi - zeps) * tmask (ji,jj,ik) |
|---|
| 728 | wslpjml (ji,jj) = zaj / ( zbj - zeps) * tmask (ji,jj,ik) |
|---|
| 729 | # if ! defined key_vectopt_loop || defined key_autotasking |
|---|
| 730 | END DO |
|---|
| 731 | # endif |
|---|
| 732 | END DO |
|---|
| 733 | |
|---|
| 734 | ! lateral boundary conditions on wslpiml and wslpjml |
|---|
| 735 | CALL lbc_lnk( wslpiml, 'W', -1. ) |
|---|
| 736 | CALL lbc_lnk( wslpjml, 'W', -1. ) |
|---|
| 737 | |
|---|
| 738 | END SUBROUTINE ldf_slp_mxl |
|---|
| 739 | |
|---|
| 740 | |
|---|
| 741 | SUBROUTINE ldf_slp_init |
|---|
| 742 | !!---------------------------------------------------------------------- |
|---|
| 743 | !! *** ROUTINE ldf_slp_init *** |
|---|
| 744 | !! |
|---|
| 745 | !! ** Purpose : Initialization for the isopycnal slopes computation |
|---|
| 746 | !! |
|---|
| 747 | !! ** Method : read the nammbf namelist and check the parameter |
|---|
| 748 | !! values called by tra_dmp at the first timestep (nit000) |
|---|
| 749 | !! |
|---|
| 750 | !! History : |
|---|
| 751 | !! 8.5 ! 02-06 (G. Madec) original code |
|---|
| 752 | !!---------------------------------------------------------------------- |
|---|
| 753 | !! * local declarations |
|---|
| 754 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 755 | !!---------------------------------------------------------------------- |
|---|
| 756 | |
|---|
| 757 | |
|---|
| 758 | ! Parameter control and print |
|---|
| 759 | ! --------------------------- |
|---|
| 760 | IF(lwp) THEN |
|---|
| 761 | WRITE(numout,*) |
|---|
| 762 | WRITE(numout,*) 'ldf_slp : direction of lateral mixing' |
|---|
| 763 | WRITE(numout,*) '~~~~~~~' |
|---|
| 764 | ENDIF |
|---|
| 765 | |
|---|
| 766 | ! Direction of lateral diffusion (tracers and/or momentum) |
|---|
| 767 | ! ------------------------------ |
|---|
| 768 | ! set the slope to zero (even in s-coordinates) |
|---|
| 769 | |
|---|
| 770 | uslp (:,:,:) = 0.e0 |
|---|
| 771 | vslp (:,:,:) = 0.e0 |
|---|
| 772 | wslpi(:,:,:) = 0.e0 |
|---|
| 773 | wslpj(:,:,:) = 0.e0 |
|---|
| 774 | |
|---|
| 775 | uslpml (:,:) = 0.e0 |
|---|
| 776 | vslpml (:,:) = 0.e0 |
|---|
| 777 | wslpiml(:,:) = 0.e0 |
|---|
| 778 | wslpjml(:,:) = 0.e0 |
|---|
| 779 | |
|---|
| 780 | IF( ln_traldf_hor .OR. ln_dynldf_hor ) THEN |
|---|
| 781 | |
|---|
| 782 | ! geopotential diffusion in s-coordinates on tracers and/or momentum |
|---|
| 783 | ! The slopes of s-surfaces are computed once (no call to ldfslp in step) |
|---|
| 784 | ! The slopes for momentum diffusion are i- or j- averaged of those on tracers |
|---|
| 785 | |
|---|
| 786 | ! set the slope of diffusion to the slope of s-surfaces |
|---|
| 787 | ! ( c a u t i o n : minus sign as fsdep has positive value ) |
|---|
| 788 | DO jk = 1, jpk |
|---|
| 789 | DO jj = 2, jpjm1 |
|---|
| 790 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 791 | uslp (ji,jj,jk) = -1. / e1u(ji,jj) * umask(ji,jj,jk) & |
|---|
| 792 | & * ( fsdept(ji+1,jj,jk) - fsdept(ji,jj,jk) ) |
|---|
| 793 | vslp (ji,jj,jk) = -1. / e2v(ji,jj) * vmask(ji,jj,jk) & |
|---|
| 794 | & * ( fsdept(ji,jj+1,jk) - fsdept(ji,jj,jk) ) |
|---|
| 795 | wslpi(ji,jj,jk) = -1. / e1t(ji,jj) * tmask(ji,jj,jk) & |
|---|
| 796 | & * ( fsdepuw(ji+1,jj,jk) - fsdepuw(ji,jj,jk) ) |
|---|
| 797 | wslpj(ji,jj,jk) = -1. / e2t(ji,jj) * tmask(ji,jj,jk) & |
|---|
| 798 | & * ( fsdepvw(ji,jj+1,jk) - fsdepvw(ji,jj,jk) ) |
|---|
| 799 | END DO |
|---|
| 800 | END DO |
|---|
| 801 | END DO |
|---|
| 802 | |
|---|
| 803 | ! Lateral boundary conditions on the slopes |
|---|
| 804 | CALL lbc_lnk( uslp , 'U', -1. ) |
|---|
| 805 | CALL lbc_lnk( vslp , 'V', -1. ) |
|---|
| 806 | CALL lbc_lnk( wslpi, 'W', -1. ) |
|---|
| 807 | CALL lbc_lnk( wslpj, 'W', -1. ) |
|---|
| 808 | ENDIF |
|---|
| 809 | |
|---|
| 810 | END SUBROUTINE ldf_slp_init |
|---|
| 811 | |
|---|
| 812 | #else |
|---|
| 813 | !!------------------------------------------------------------------------ |
|---|
| 814 | !! Dummy module : NO Rotation of lateral mixing tensor |
|---|
| 815 | !!------------------------------------------------------------------------ |
|---|
| 816 | LOGICAL, PUBLIC, PARAMETER :: lk_ldfslp = .FALSE. !: slopes flag |
|---|
| 817 | CONTAINS |
|---|
| 818 | SUBROUTINE ldf_slp( kt, prd, pn2 ) ! Dummy routine |
|---|
| 819 | INTEGER, INTENT(in) :: kt |
|---|
| 820 | REAL,DIMENSION(:,:,:), INTENT(in) :: prd, pn2 |
|---|
| 821 | WRITE(*,*) 'ldf_slp: You should not have seen this print! error?', kt, prd(1,1,1), pn2(1,1,1) |
|---|
| 822 | END SUBROUTINE ldf_slp |
|---|
| 823 | #endif |
|---|
| 824 | |
|---|
| 825 | !!====================================================================== |
|---|
| 826 | END MODULE ldfslp |
|---|
