[3611] | 1 | MODULE dynzdf_tam |
---|
| 2 | #ifdef key_tam |
---|
| 3 | !!============================================================================== |
---|
| 4 | !! *** MODULE dynzdf_tam *** |
---|
| 5 | !! Ocean dynamics : vertical component of the momentum mixing trend |
---|
| 6 | !! Tangent and adjoint module |
---|
| 7 | !!============================================================================== |
---|
| 8 | !! History of the direct module: |
---|
| 9 | !! 9.0 ! 05-11 (G. Madec) Original code |
---|
| 10 | !! History of the T&A module: |
---|
| 11 | !! 9.0 ! 08-06 (A. Vidard) Skeleton |
---|
| 12 | !! 9.0 ! 08-08 (A. Vidard) tam of the 05-11 version |
---|
| 13 | !!---------------------------------------------------------------------- |
---|
| 14 | |
---|
| 15 | !!---------------------------------------------------------------------- |
---|
| 16 | !! dyn_zdf : Update the momentum trend with the vertical diffusion |
---|
| 17 | !! zdf_ctl : initializations of the vertical diffusion scheme |
---|
| 18 | !!---------------------------------------------------------------------- |
---|
| 19 | USE par_oce |
---|
| 20 | USE oce_tam |
---|
| 21 | USE dom_oce |
---|
| 22 | USE zdf_oce |
---|
| 23 | USE dynzdf_exp_tam |
---|
| 24 | USE dynzdf_imp_tam |
---|
| 25 | USE ldfdyn_oce |
---|
| 26 | USE in_out_manager |
---|
| 27 | USE gridrandom |
---|
| 28 | USE dotprodfld |
---|
| 29 | USE tstool_tam |
---|
| 30 | USE lib_mpp |
---|
| 31 | USE wrk_nemo |
---|
| 32 | USE timing |
---|
| 33 | |
---|
| 34 | IMPLICIT NONE |
---|
| 35 | PRIVATE |
---|
| 36 | |
---|
| 37 | PUBLIC dyn_zdf_tan ! routine called by step_tam.F90 |
---|
| 38 | PUBLIC dyn_zdf_adj ! routine called by step_tam.F90 |
---|
| 39 | PUBLIC dyn_zdf_adj_tst! routine called by tst.F90 |
---|
| 40 | PUBLIC dyn_zdf_init_tam |
---|
| 41 | |
---|
| 42 | INTEGER :: nzdf = 0 ! type vertical diffusion algorithm used |
---|
| 43 | ! ! defined from ln_zdf... namlist logicals) |
---|
| 44 | |
---|
| 45 | REAL(wp) :: r2dt ! time-step, = 2 rdttra |
---|
| 46 | ! ! except at nit000 (=rdttra) if neuler=0 |
---|
| 47 | LOGICAL :: lfirst = .TRUE. |
---|
| 48 | |
---|
| 49 | !! * Substitutions |
---|
| 50 | # include "domzgr_substitute.h90" |
---|
| 51 | # include "zdfddm_substitute.h90" |
---|
| 52 | # include "vectopt_loop_substitute.h90" |
---|
| 53 | |
---|
| 54 | CONTAINS |
---|
| 55 | |
---|
| 56 | SUBROUTINE dyn_zdf_tan( kt ) |
---|
| 57 | !!---------------------------------------------------------------------- |
---|
| 58 | !! *** ROUTINE dyn_zdf_tan *** |
---|
| 59 | !! |
---|
| 60 | !! ** Purpose of the direct routine: |
---|
| 61 | !! compute the vertical ocean dynamics physics. |
---|
| 62 | !!--------------------------------------------------------------------- |
---|
| 63 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
---|
| 64 | !! |
---|
| 65 | ! |
---|
| 66 | IF( nn_timing == 1 ) CALL timing_start('dyn_zdf_tan') |
---|
| 67 | ! |
---|
| 68 | ! ! set time step |
---|
| 69 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; r2dt = rdt ! = rdtra (restarting with Euler time stepping) |
---|
| 70 | ELSEIF( kt <= nit000 + 1) THEN ; r2dt = 2. * rdt ! = 2 rdttra (leapfrog) |
---|
| 71 | ENDIF |
---|
| 72 | SELECT CASE ( nzdf ) ! compute lateral mixing trend and add it to the general trend |
---|
| 73 | ! |
---|
| 74 | CASE ( 0 ) ; CALL dyn_zdf_exp_tan ( kt, r2dt ) ! explicit scheme |
---|
| 75 | CASE ( 1 ) ; CALL dyn_zdf_imp_tan ( kt, r2dt ) ! implicit scheme (k-j-i loop) |
---|
| 76 | ! |
---|
| 77 | END SELECT |
---|
| 78 | ! |
---|
| 79 | IF( nn_timing == 1 ) CALL timing_stop('dyn_zdf_tan') |
---|
| 80 | ! |
---|
| 81 | END SUBROUTINE dyn_zdf_tan |
---|
| 82 | |
---|
| 83 | SUBROUTINE dyn_zdf_adj( kt ) |
---|
| 84 | !!---------------------------------------------------------------------- |
---|
| 85 | !! *** ROUTINE dyn_zdf_adj *** |
---|
| 86 | !! |
---|
| 87 | !! ** Purpose of the direct routine: |
---|
| 88 | !! compute the vertical ocean dynamics physics. |
---|
| 89 | !!--------------------------------------------------------------------- |
---|
| 90 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
---|
| 91 | !! |
---|
| 92 | ! |
---|
| 93 | IF( nn_timing == 1 ) CALL timing_start('dyn_zdf_adj') |
---|
| 94 | ! |
---|
| 95 | ! ! set time step |
---|
| 96 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; r2dt = rdt ! = rdtra (restarting with Euler time stepping) |
---|
| 97 | ELSEIF( kt <= nit000 + 1) THEN ; r2dt = 2. * rdt ! = 2 rdttra (leapfrog) |
---|
| 98 | ELSEIF( kt == nitend ) THEN ; r2dt = 2. * rdt |
---|
| 99 | ENDIF |
---|
| 100 | SELECT CASE ( nzdf ) ! compute lateral mixing trend and add it to the general trend |
---|
| 101 | ! |
---|
| 102 | CASE ( 0 ) ; CALL dyn_zdf_exp_adj ( kt, r2dt ) ! explicit scheme |
---|
| 103 | CASE ( 1 ) ; CALL dyn_zdf_imp_adj ( kt, r2dt ) ! implicit scheme (k-j-i loop) |
---|
| 104 | ! |
---|
| 105 | END SELECT |
---|
| 106 | ! |
---|
| 107 | IF( nn_timing == 1 ) CALL timing_stop('dyn_zdf_adj') |
---|
| 108 | ! |
---|
| 109 | END SUBROUTINE dyn_zdf_adj |
---|
| 110 | SUBROUTINE dyn_zdf_init_tam |
---|
| 111 | !!---------------------------------------------------------------------- |
---|
| 112 | !! *** ROUTINE zdf_ctl_tam *** |
---|
| 113 | !! |
---|
| 114 | !! ** Purpose : initializations of the vertical diffusion scheme |
---|
| 115 | !! |
---|
| 116 | !! ** Method : implicit (euler backward) scheme (default) |
---|
| 117 | !! explicit (time-splitting) scheme if ln_zdfexp=T |
---|
| 118 | !!---------------------------------------------------------------------- |
---|
| 119 | USE zdfgls |
---|
| 120 | USE zdftke, ONLY : lk_zdftke |
---|
| 121 | USE zdfkpp, ONLY : lk_zdfkpp |
---|
| 122 | !!---------------------------------------------------------------------- |
---|
| 123 | |
---|
| 124 | ! Choice from ln_zdfexp read in namelist in zdfini |
---|
| 125 | IF( ln_zdfexp ) THEN ; nzdf = 0 ! use explicit scheme |
---|
| 126 | ELSE ; nzdf = 1 ! use implicit scheme |
---|
| 127 | ENDIF |
---|
| 128 | |
---|
| 129 | ! Force implicit schemes |
---|
| 130 | IF( lk_zdfgls .OR. lk_zdftke .OR. lk_zdfkpp ) nzdf = 1 ! TKE or KPP physics |
---|
| 131 | IF( ln_dynldf_iso ) nzdf = 1 ! iso-neutral lateral physics |
---|
| 132 | IF( ln_dynldf_hor .AND. ln_sco ) nzdf = 1 ! horizontal lateral physics in s-coordinate |
---|
| 133 | |
---|
| 134 | IF( lk_esopa ) nzdf = -1 ! Esopa key: All schemes used |
---|
| 135 | |
---|
| 136 | IF(lwp) THEN ! Print the choice |
---|
| 137 | WRITE(numout,*) |
---|
| 138 | WRITE(numout,*) 'dyn:zdf_init_tam : vertical dynamics physics scheme' |
---|
| 139 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
---|
| 140 | IF( nzdf == -1 ) WRITE(numout,*) ' ESOPA test All scheme used' |
---|
| 141 | IF( nzdf == 0 ) WRITE(numout,*) ' Explicit time-splitting scheme' |
---|
| 142 | IF( nzdf == 1 ) WRITE(numout,*) ' Implicit (euler backward) scheme' |
---|
| 143 | ENDIF |
---|
| 144 | ! |
---|
| 145 | lfirst = .FALSE. |
---|
| 146 | END SUBROUTINE dyn_zdf_init_tam |
---|
| 147 | SUBROUTINE dyn_zdf_adj_tst( kumadt ) |
---|
| 148 | !!----------------------------------------------------------------------- |
---|
| 149 | !! |
---|
| 150 | !! *** ROUTINE dyn_zdf_adj_tst *** |
---|
| 151 | !! |
---|
| 152 | !! ** Purpose : Test the adjoint routine. |
---|
| 153 | !! |
---|
| 154 | !! ** Method : Verify the scalar product |
---|
| 155 | !! |
---|
| 156 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
| 157 | !! |
---|
| 158 | !! where L = tangent routine |
---|
| 159 | !! L^T = adjoint routine |
---|
| 160 | !! W = diagonal matrix of scale factors |
---|
| 161 | !! dx = input perturbation (random field) |
---|
| 162 | !! dy = L dx |
---|
| 163 | !! |
---|
| 164 | !! ** Action : Separate tests are applied for the following dx and dy: |
---|
| 165 | !! |
---|
| 166 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
---|
| 167 | !! |
---|
| 168 | !! History : |
---|
| 169 | !! ! 08-08 (A. Vidard) |
---|
| 170 | !!----------------------------------------------------------------------- |
---|
| 171 | !! * Modules used |
---|
| 172 | |
---|
| 173 | !! * Arguments |
---|
| 174 | INTEGER, INTENT(IN) :: & |
---|
| 175 | & kumadt ! Output unit |
---|
| 176 | INTEGER :: & |
---|
| 177 | & ji, & ! dummy loop indices |
---|
| 178 | & jj, & |
---|
| 179 | & jk |
---|
| 180 | |
---|
| 181 | !! * Local declarations |
---|
| 182 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 183 | & zub_tlin, & ! Tangent input: before u-velocity |
---|
| 184 | & zvb_tlin, & ! Tangent input: before v-velocity |
---|
| 185 | & zua_tlin, & ! Tangent input: after u-velocity |
---|
| 186 | & zva_tlin, & ! Tangent input: after v-velocity |
---|
| 187 | & zua_tlout, & ! Tangent output: after u-velocity |
---|
| 188 | & zva_tlout, & ! Tangent output: after v-velocity |
---|
| 189 | & zua_adin, & ! Adjoint input: after u-velocity |
---|
| 190 | & zva_adin, & ! Adjoint input: after v-velocity |
---|
| 191 | & zub_adout, & ! Adjoint output: before u-velocity |
---|
| 192 | & zvb_adout, & ! Adjoint output: before v-velocity |
---|
| 193 | & zua_adout, & ! Adjoint output: after u-velocity |
---|
| 194 | & zva_adout, & ! Adjoint output: after v-velocity |
---|
| 195 | & zau, & ! 3D random field for ua |
---|
| 196 | & zav, & ! 3D random field for va |
---|
| 197 | & zbu, & ! 3D random field for ub |
---|
| 198 | & zbv ! 3D random field for vb |
---|
| 199 | REAL(KIND=wp) :: & |
---|
| 200 | & zsp1, & ! scalar product involving the tangent routine |
---|
| 201 | & zsp1_1, & ! scalar product components |
---|
| 202 | & zsp1_2, & |
---|
| 203 | & zsp2, & ! scalar product involving the adjoint routine |
---|
| 204 | & zsp2_1, & ! scalar product components |
---|
| 205 | & zsp2_2, & |
---|
| 206 | & zsp2_3, & |
---|
| 207 | & zsp2_4 |
---|
| 208 | CHARACTER(LEN=14) :: cl_name |
---|
| 209 | ! Allocate memory |
---|
| 210 | |
---|
| 211 | ALLOCATE( & |
---|
| 212 | & zua_tlin(jpi,jpj,jpk), & |
---|
| 213 | & zva_tlin(jpi,jpj,jpk), & |
---|
| 214 | & zub_tlin(jpi,jpj,jpk), & |
---|
| 215 | & zvb_tlin(jpi,jpj,jpk), & |
---|
| 216 | & zua_tlout(jpi,jpj,jpk), & |
---|
| 217 | & zva_tlout(jpi,jpj,jpk), & |
---|
| 218 | & zua_adin(jpi,jpj,jpk), & |
---|
| 219 | & zva_adin(jpi,jpj,jpk), & |
---|
| 220 | & zua_adout(jpi,jpj,jpk), & |
---|
| 221 | & zva_adout(jpi,jpj,jpk), & |
---|
| 222 | & zub_adout(jpi,jpj,jpk), & |
---|
| 223 | & zvb_adout(jpi,jpj,jpk), & |
---|
| 224 | & zau(jpi,jpj,jpk), & |
---|
| 225 | & zav(jpi,jpj,jpk), & |
---|
| 226 | & zbu(jpi,jpj,jpk), & |
---|
| 227 | & zbv(jpi,jpj,jpk) & |
---|
| 228 | & ) |
---|
| 229 | |
---|
| 230 | ! Initialize the direct trajectory |
---|
| 231 | avmu(:,:,:) = rn_avm0 * umask(:,:,:) |
---|
| 232 | avmv(:,:,:) = rn_avm0 * vmask(:,:,:) |
---|
| 233 | |
---|
| 234 | !================================================================== |
---|
| 235 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
---|
| 236 | ! dy = ( hdivb_tl, hdivn_tl ) |
---|
| 237 | !================================================================== |
---|
| 238 | |
---|
| 239 | !-------------------------------------------------------------------- |
---|
| 240 | ! Reset the tangent and adjoint variables |
---|
| 241 | !-------------------------------------------------------------------- |
---|
| 242 | |
---|
| 243 | zua_tlin(:,:,:) = 0.0_wp |
---|
| 244 | zva_tlin(:,:,:) = 0.0_wp |
---|
| 245 | zub_tlin(:,:,:) = 0.0_wp |
---|
| 246 | zvb_tlin(:,:,:) = 0.0_wp |
---|
| 247 | zua_tlout(:,:,:) = 0.0_wp |
---|
| 248 | zva_tlout(:,:,:) = 0.0_wp |
---|
| 249 | zua_adin(:,:,:) = 0.0_wp |
---|
| 250 | zva_adin(:,:,:) = 0.0_wp |
---|
| 251 | zua_adout(:,:,:) = 0.0_wp |
---|
| 252 | zva_adout(:,:,:) = 0.0_wp |
---|
| 253 | zub_adout(:,:,:) = 0.0_wp |
---|
| 254 | zvb_adout(:,:,:) = 0.0_wp |
---|
| 255 | zau(:,:,:) = 0.0_wp |
---|
| 256 | zav(:,:,:) = 0.0_wp |
---|
| 257 | zbu(:,:,:) = 0.0_wp |
---|
| 258 | zbv(:,:,:) = 0.0_wp |
---|
| 259 | |
---|
| 260 | ub_tl(:,:,:) = 0.0_wp |
---|
| 261 | vb_tl(:,:,:) = 0.0_wp |
---|
| 262 | ua_tl(:,:,:) = 0.0_wp |
---|
| 263 | va_tl(:,:,:) = 0.0_wp |
---|
| 264 | ub_ad(:,:,:) = 0.0_wp |
---|
| 265 | vb_ad(:,:,:) = 0.0_wp |
---|
| 266 | ua_ad(:,:,:) = 0.0_wp |
---|
| 267 | va_ad(:,:,:) = 0.0_wp |
---|
| 268 | |
---|
| 269 | !-------------------------------------------------------------------- |
---|
| 270 | ! Initialize the tangent input with random noise: dx |
---|
| 271 | !-------------------------------------------------------------------- |
---|
| 272 | |
---|
| 273 | CALL grid_random( zbu, 'U', 0.0_wp, stdu ) |
---|
| 274 | CALL grid_random( zbv, 'V', 0.0_wp, stdv ) |
---|
| 275 | CALL grid_random( zau, 'U', 0.0_wp, stdu ) |
---|
| 276 | CALL grid_random( zav, 'V', 0.0_wp, stdv ) |
---|
| 277 | DO jk = 1, jpk |
---|
| 278 | DO jj = nldj, nlej |
---|
| 279 | DO ji = nldi, nlei |
---|
| 280 | zub_tlin(ji,jj,jk) = zbu(ji,jj,jk) |
---|
| 281 | zvb_tlin(ji,jj,jk) = zbv(ji,jj,jk) |
---|
| 282 | zua_tlin(ji,jj,jk) = zau(ji,jj,jk) |
---|
| 283 | zva_tlin(ji,jj,jk) = zav(ji,jj,jk) |
---|
| 284 | END DO |
---|
| 285 | END DO |
---|
| 286 | END DO |
---|
| 287 | |
---|
| 288 | ub_tl(:,:,:) = zub_tlin(:,:,:) |
---|
| 289 | vb_tl(:,:,:) = zvb_tlin(:,:,:) |
---|
| 290 | ua_tl(:,:,:) = zua_tlin(:,:,:) |
---|
| 291 | va_tl(:,:,:) = zva_tlin(:,:,:) |
---|
| 292 | |
---|
| 293 | CALL dyn_zdf_tan( nit000 ) |
---|
| 294 | |
---|
| 295 | zua_tlout(:,:,:) = ua_tl(:,:,:) |
---|
| 296 | zva_tlout(:,:,:) = va_tl(:,:,:) |
---|
| 297 | |
---|
| 298 | !-------------------------------------------------------------------- |
---|
| 299 | ! Initialize the adjoint variables: dy^* = W dy |
---|
| 300 | !-------------------------------------------------------------------- |
---|
| 301 | |
---|
| 302 | DO jk = 1, jpk |
---|
| 303 | DO jj = nldj, nlej |
---|
| 304 | DO ji = nldi, nlei |
---|
| 305 | zua_adin(ji,jj,jk) = zua_tlout(ji,jj,jk) & |
---|
| 306 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) & |
---|
| 307 | & * umask(ji,jj,jk) |
---|
| 308 | zva_adin(ji,jj,jk) = zva_tlout(ji,jj,jk) & |
---|
| 309 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) & |
---|
| 310 | & * vmask(ji,jj,jk) |
---|
| 311 | END DO |
---|
| 312 | END DO |
---|
| 313 | END DO |
---|
| 314 | !-------------------------------------------------------------------- |
---|
| 315 | ! Compute the scalar product: ( L dx )^T W dy |
---|
| 316 | !-------------------------------------------------------------------- |
---|
| 317 | |
---|
| 318 | zsp1_1 = DOT_PRODUCT( zua_tlout, zua_adin ) |
---|
| 319 | zsp1_2 = DOT_PRODUCT( zva_tlout, zva_adin ) |
---|
| 320 | zsp1 = zsp1_1 + zsp1_2 |
---|
| 321 | |
---|
| 322 | !-------------------------------------------------------------------- |
---|
| 323 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
| 324 | !-------------------------------------------------------------------- |
---|
| 325 | |
---|
| 326 | ua_ad(:,:,:) = zua_adin(:,:,:) |
---|
| 327 | va_ad(:,:,:) = zva_adin(:,:,:) |
---|
| 328 | |
---|
| 329 | CALL dyn_zdf_adj ( nit000 ) |
---|
| 330 | zub_adout(:,:,:) = ub_ad(:,:,:) |
---|
| 331 | zvb_adout(:,:,:) = vb_ad(:,:,:) |
---|
| 332 | zua_adout(:,:,:) = ua_ad(:,:,:) |
---|
| 333 | zva_adout(:,:,:) = va_ad(:,:,:) |
---|
| 334 | |
---|
| 335 | zsp2_1 = DOT_PRODUCT( zub_tlin, zub_adout ) |
---|
| 336 | zsp2_2 = DOT_PRODUCT( zvb_tlin, zvb_adout ) |
---|
| 337 | zsp2_3 = DOT_PRODUCT( zua_tlin, zua_adout ) |
---|
| 338 | zsp2_4 = DOT_PRODUCT( zva_tlin, zva_adout ) |
---|
| 339 | zsp2 = zsp2_1 + zsp2_2 + zsp2_3 + zsp2_4 |
---|
| 340 | |
---|
| 341 | ! Compare the scalar products |
---|
| 342 | |
---|
| 343 | ! 14 char:'12345678901234' |
---|
| 344 | cl_name = 'dyn_zdf_adj ' |
---|
| 345 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
| 346 | |
---|
| 347 | DEALLOCATE( & |
---|
| 348 | & zua_tlin, & |
---|
| 349 | & zva_tlin, & |
---|
| 350 | & zub_tlin, & |
---|
| 351 | & zvb_tlin, & |
---|
| 352 | & zua_tlout, & |
---|
| 353 | & zva_tlout, & |
---|
| 354 | & zua_adin, & |
---|
| 355 | & zva_adin, & |
---|
| 356 | & zua_adout, & |
---|
| 357 | & zva_adout, & |
---|
| 358 | & zub_adout, & |
---|
| 359 | & zvb_adout, & |
---|
| 360 | & zau, & |
---|
| 361 | & zav, & |
---|
| 362 | & zbu, & |
---|
| 363 | & zbv & |
---|
| 364 | & ) |
---|
| 365 | |
---|
| 366 | END SUBROUTINE dyn_zdf_adj_tst |
---|
| 367 | !!============================================================================== |
---|
| 368 | #endif |
---|
| 369 | END MODULE dynzdf_tam |
---|