[2578] | 1 | MODULE sbcssr_tam |
---|
| 2 | #ifdef key_tam |
---|
| 3 | !!====================================================================== |
---|
| 4 | !! *** MODULE sbcssr_tam *** |
---|
| 5 | !! Surface module : add to heat and fresh water fluxes a restoring term |
---|
| 6 | !! toward observed SST/SSS |
---|
| 7 | !! Tangent and Adjoint Module |
---|
| 8 | !!====================================================================== |
---|
| 9 | !! History of the direct routine: |
---|
| 10 | !! 3.0 ! 2006-06 (G. Madec) Original code |
---|
| 11 | !! 3.2 ! 2009-04 (B. Lemaire) Introduce iom_put |
---|
| 12 | !! History of the T&A routine: |
---|
| 13 | !! 3.0 ! 2008-11 (A. Vidard) Original code (simplification: no linear salinity damping) |
---|
| 14 | !! 3.2 ! 2010-04 (A. Vidard) Nemo3.2 update |
---|
| 15 | !!---------------------------------------------------------------------- |
---|
| 16 | |
---|
| 17 | !!---------------------------------------------------------------------- |
---|
| 18 | !! sbc_ssr : add to sbc a restoring term toward SST/SSS climatology |
---|
| 19 | !!---------------------------------------------------------------------- |
---|
| 20 | USE par_oce , ONLY: & ! Ocean space and time domain variables |
---|
| 21 | & jpi, & |
---|
| 22 | & jpj, & |
---|
| 23 | & jpiglo |
---|
| 24 | USE par_kind , ONLY: & ! Precision variables |
---|
| 25 | & wp |
---|
| 26 | USE dom_oce , ONLY: & ! Ocean space and time domain |
---|
| 27 | & e1t, & |
---|
| 28 | & e2t, & |
---|
| 29 | # if defined key_vvl |
---|
| 30 | & e3t_1, & |
---|
| 31 | # else |
---|
| 32 | # if defined key_zco |
---|
| 33 | & e3t_0, & |
---|
| 34 | # else |
---|
| 35 | & e3t, & |
---|
| 36 | # endif |
---|
| 37 | # endif |
---|
| 38 | & tmask, & |
---|
| 39 | & mig, & |
---|
| 40 | & mjg, & |
---|
| 41 | & nldi, & |
---|
| 42 | & nldj, & |
---|
| 43 | & nlei, & |
---|
| 44 | & nlej |
---|
| 45 | USE sbc_oce , ONLY: & ! Surface boundary condition: ocean fields |
---|
| 46 | & nn_fsbc |
---|
| 47 | USE sbc_oce_tam , ONLY: & ! Surface boundary condition: ocean fields |
---|
| 48 | & sst_m_tl, & ! mean (nn_fsbc time-step) surface sea temperature [Celsius] |
---|
| 49 | & sst_m_ad, & ! mean (nn_fsbc time-step) surface sea temperature [Celsius] |
---|
| 50 | & qns_tl , & ! sea heat flux: non solar [W/m2] |
---|
| 51 | & qns_ad |
---|
| 52 | USE in_out_manager, ONLY: & ! I/O manager |
---|
| 53 | & lwp, & |
---|
| 54 | & numout, & |
---|
| 55 | & numnam, & |
---|
| 56 | & nit000, & |
---|
| 57 | & nitend |
---|
| 58 | USE gridrandom , ONLY: & ! Random Gaussian noise on grids |
---|
| 59 | & grid_random |
---|
| 60 | USE dotprodfld, ONLY: & ! Computes dot product for 3D and 2D fields |
---|
| 61 | & dot_product |
---|
| 62 | USE tstool_tam , ONLY: & |
---|
| 63 | & stdt, & |
---|
| 64 | & stdqns, & |
---|
| 65 | & prntst_adj |
---|
| 66 | |
---|
| 67 | IMPLICIT NONE |
---|
| 68 | PRIVATE |
---|
| 69 | |
---|
| 70 | PUBLIC sbc_ssr_tan ! routine called in sbcmod_tam |
---|
| 71 | PUBLIC sbc_ssr_adj ! routine called in sbcmod_tam |
---|
| 72 | PUBLIC sbc_ssr_adj_tst! routine called in tst |
---|
| 73 | |
---|
| 74 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj) :: & |
---|
| 75 | & erp_tl, & !: evaporation damping [kg/m2/s] |
---|
| 76 | & qrp_tl, & !: heat flux damping [w/m2] |
---|
| 77 | & erp_ad, & !: evaporation damping [kg/m2/s] |
---|
| 78 | & qrp_ad !: heat flux damping [w/m2] |
---|
| 79 | |
---|
| 80 | ! !!* Namelist namsbc_ssr * |
---|
| 81 | INTEGER, PUBLIC :: nn_sstr = 0 ! SST/SSS restoring indicator |
---|
| 82 | INTEGER, PUBLIC :: nn_sssr = 0 ! SST/SSS restoring indicator |
---|
| 83 | REAL(wp) :: rn_dqdt = -40.e0 ! restoring factor on SST and SSS |
---|
| 84 | REAL(wp) :: rn_deds = -27.70 ! restoring factor on SST and SSS |
---|
| 85 | LOGICAL :: ln_sssr_bnd = .false. ! flag to bound erp term |
---|
| 86 | REAL(wp) :: rn_sssr_bnd = 0.e0 ! ABS(Max./Min.) value of erp term [mm/day] |
---|
| 87 | |
---|
| 88 | !! * Substitutions |
---|
| 89 | # include "domzgr_substitute.h90" |
---|
| 90 | !!---------------------------------------------------------------------- |
---|
| 91 | !! NEMO/OPA 3.2 , LOCEAN-IPSL (2009) |
---|
| 92 | !! $Id$ |
---|
| 93 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
---|
| 94 | !!---------------------------------------------------------------------- |
---|
| 95 | |
---|
| 96 | CONTAINS |
---|
| 97 | |
---|
| 98 | SUBROUTINE sbc_ssr_tan( kt ) |
---|
| 99 | !!--------------------------------------------------------------------- |
---|
| 100 | !! *** ROUTINE sbc_ssr_tan *** |
---|
| 101 | !! |
---|
| 102 | !! ** Purpose of the direct routine: |
---|
| 103 | !! Add to heat and/or freshwater fluxes a damping term |
---|
| 104 | !! toward observed SST and/or SSS. |
---|
| 105 | !! |
---|
| 106 | !! ** Method of the direct routine: |
---|
| 107 | !! : - Read namelist namsbc_ssr |
---|
| 108 | !! - Read observed SST and/or SSS |
---|
| 109 | !! - at each nscb time step |
---|
| 110 | !! add a retroaction term on qns (nn_sstr = 1) |
---|
| 111 | !! add a damping term on emps (nn_sssr = 1) |
---|
| 112 | !! add a damping term on emp & emps (nn_sssr = 2) |
---|
| 113 | !!--------------------------------------------------------------------- |
---|
| 114 | INTEGER, INTENT(in ) :: kt ! ocean time step |
---|
| 115 | !! |
---|
| 116 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 117 | REAL(wp) :: zqrptl ! local scalar for heat flux damping |
---|
| 118 | !! |
---|
| 119 | !!---------------------------------------------------------------------- |
---|
| 120 | ! ! -------------------- ! |
---|
| 121 | IF( kt == nit000 ) THEN ! First call kt=nit000 ! |
---|
| 122 | ! ! -------------------- ! |
---|
| 123 | CALL sbc_ssr_ini_tam ( 0 ) |
---|
| 124 | ENDIF |
---|
| 125 | |
---|
| 126 | IF( nn_sstr + nn_sssr /= 0 ) THEN |
---|
| 127 | |
---|
| 128 | ! ! ========================= ! |
---|
| 129 | IF( MOD( kt-1, nn_fsbc ) == 0 ) THEN ! Add restoring term ! |
---|
| 130 | ! ! ========================= ! |
---|
| 131 | ! |
---|
| 132 | IF( nn_sstr == 1 ) THEN !* Temperature restoring term |
---|
| 133 | !CDIR COLLAPSE |
---|
| 134 | DO jj = 1, jpj |
---|
| 135 | DO ji = 1, jpi |
---|
| 136 | zqrptl = rn_dqdt * sst_m_tl(ji,jj) |
---|
| 137 | qns_tl(ji,jj) = qns_tl(ji,jj) + zqrptl |
---|
| 138 | qrp_tl(ji,jj) = zqrptl |
---|
| 139 | END DO |
---|
| 140 | END DO |
---|
| 141 | ENDIF |
---|
| 142 | ! |
---|
| 143 | ! No linear Salinity damping term (simplification) |
---|
| 144 | ! |
---|
| 145 | ENDIF |
---|
| 146 | ! |
---|
| 147 | ENDIF |
---|
| 148 | ! |
---|
| 149 | END SUBROUTINE sbc_ssr_tan |
---|
| 150 | SUBROUTINE sbc_ssr_adj( kt ) |
---|
| 151 | !!--------------------------------------------------------------------- |
---|
| 152 | !! *** ROUTINE sbc_ssr_adj *** |
---|
| 153 | !! |
---|
| 154 | !! ** Purpose of the direct routine: |
---|
| 155 | !! Add to heat and/or freshwater fluxes a damping term |
---|
| 156 | !! toward observed SST and/or SSS. |
---|
| 157 | !! |
---|
| 158 | !! ** Method of the direct routine: |
---|
| 159 | !! : - Read namelist namsbc_ssr |
---|
| 160 | !! - Read observed SST and/or SSS |
---|
| 161 | !! - at each nscb time step |
---|
| 162 | !! add a retroaction term on qns (nn_sstr = 1) |
---|
| 163 | !! add a damping term on emps (nn_sssr = 1) |
---|
| 164 | !! add a damping term on emp & emps (nn_sssr = 2) |
---|
| 165 | !!--------------------------------------------------------------------- |
---|
| 166 | INTEGER, INTENT(in ) :: kt ! ocean time step |
---|
| 167 | !! |
---|
| 168 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 169 | REAL(wp) :: zqrpad ! local scalar for heat flux damping |
---|
| 170 | !! |
---|
| 171 | !!---------------------------------------------------------------------- |
---|
| 172 | zqrpad = 0.0 |
---|
| 173 | ! ! -------------------- ! |
---|
| 174 | IF( kt == nitend ) THEN ! First call kt=nit000 ! |
---|
| 175 | ! ! -------------------- ! |
---|
| 176 | CALL sbc_ssr_ini_tam ( 1 ) |
---|
| 177 | ENDIF |
---|
| 178 | |
---|
| 179 | IF( nn_sstr + nn_sssr /= 0 ) THEN |
---|
| 180 | |
---|
| 181 | ! ! ========================= ! |
---|
| 182 | IF( MOD( kt-1, nn_fsbc ) == 0 ) THEN ! Add restoring term ! |
---|
| 183 | ! ! ========================= ! |
---|
| 184 | ! |
---|
| 185 | IF( nn_sstr == 1 ) THEN ! Temperature restoring term |
---|
| 186 | !CDIR COLLAPSE |
---|
| 187 | ! use zqrp scalar to optimize memory access (speedup the loop) |
---|
| 188 | DO jj = 1, jpj |
---|
| 189 | DO ji = 1, jpi |
---|
| 190 | zqrpad = qrp_ad(ji,jj) |
---|
| 191 | qrp_ad(ji,jj) = 0.0_wp |
---|
| 192 | |
---|
| 193 | zqrpad = zqrpad + qns_ad(ji,jj) |
---|
| 194 | sst_m_ad(ji,jj) = sst_m_ad(ji,jj) + rn_dqdt * zqrpad |
---|
| 195 | END DO |
---|
| 196 | END DO |
---|
| 197 | ENDIF |
---|
| 198 | ! |
---|
| 199 | ! No linear Salinity damping term (simplification) |
---|
| 200 | ! |
---|
| 201 | ENDIF |
---|
| 202 | ! |
---|
| 203 | ENDIF |
---|
| 204 | ! |
---|
| 205 | END SUBROUTINE sbc_ssr_adj |
---|
| 206 | SUBROUTINE sbc_ssr_adj_tst( kumadt ) |
---|
| 207 | !!----------------------------------------------------------------------- |
---|
| 208 | !! |
---|
| 209 | !! *** ROUTINE sbc_ssr_adj_tst *** |
---|
| 210 | !! |
---|
| 211 | !! ** Purpose : Test the adjoint routine. |
---|
| 212 | !! |
---|
| 213 | !! ** Method : Verify the scalar product |
---|
| 214 | !! |
---|
| 215 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
| 216 | !! |
---|
| 217 | !! where L = tangent routine |
---|
| 218 | !! L^T = adjoint routine |
---|
| 219 | !! W = diagonal matrix of scale factors |
---|
| 220 | !! dx = input perturbation (random field) |
---|
| 221 | !! dy = L dx |
---|
| 222 | !! |
---|
| 223 | !! |
---|
| 224 | !! History : |
---|
| 225 | !! ! 08-11 (A. Vidard) |
---|
| 226 | !!----------------------------------------------------------------------- |
---|
| 227 | !! * Modules used |
---|
| 228 | |
---|
| 229 | !! * Arguments |
---|
| 230 | INTEGER, INTENT(IN) :: & |
---|
| 231 | & kumadt ! Output unit |
---|
| 232 | |
---|
| 233 | !! * Local declarations |
---|
| 234 | INTEGER :: & |
---|
| 235 | & ji, & ! dummy loop indices |
---|
| 236 | & jj, & |
---|
| 237 | & jk |
---|
| 238 | INTEGER, DIMENSION(jpi,jpj) :: & |
---|
| 239 | & iseed_2d ! 2D seed for the random number generator |
---|
| 240 | REAL(KIND=wp) :: & |
---|
| 241 | & zsp1, & ! scalar product involving the tangent routine |
---|
| 242 | & zsp2 ! scalar product involving the adjoint routine |
---|
| 243 | REAL(KIND=wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 244 | & zsst_m_tlin , & ! Tangent input |
---|
| 245 | & zqns_tlin , & ! Tangent input |
---|
| 246 | & zqns_tlout, & ! Tangent output |
---|
| 247 | & zqrp_tlout, & ! Tangent output |
---|
| 248 | & zqns_adin , & ! Adjoint input |
---|
| 249 | & zqrp_adin , & ! Adjoint input |
---|
| 250 | & zsst_m_adout, & ! Adjoint output |
---|
| 251 | & zqns_adout, & ! Adjoint output |
---|
| 252 | & zr ! 3D random field |
---|
| 253 | CHARACTER(LEN=14) :: cl_name |
---|
| 254 | ! Allocate memory |
---|
| 255 | |
---|
| 256 | ALLOCATE( & |
---|
| 257 | & zqns_tlin( jpi,jpj), & |
---|
| 258 | & zsst_m_tlin( jpi,jpj), & |
---|
| 259 | & zqns_tlout( jpi,jpj), & |
---|
| 260 | & zqrp_tlout( jpi,jpj), & |
---|
| 261 | & zqns_adin( jpi,jpj), & |
---|
| 262 | & zqrp_adin( jpi,jpj), & |
---|
| 263 | & zqns_adout( jpi,jpj), & |
---|
| 264 | & zsst_m_adout(jpi,jpj), & |
---|
| 265 | & zr( jpi,jpj) & |
---|
| 266 | & ) |
---|
| 267 | !================================================================== |
---|
| 268 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
---|
| 269 | ! dy = ( hdivb_tl, hdivn_tl ) |
---|
| 270 | !================================================================== |
---|
| 271 | |
---|
| 272 | !-------------------------------------------------------------------- |
---|
| 273 | ! Reset the tangent and adjoint variables |
---|
| 274 | !-------------------------------------------------------------------- |
---|
| 275 | zqns_tlin( :,:) = 0.0_wp |
---|
| 276 | zsst_m_tlin( :,:) = 0.0_wp |
---|
| 277 | zqns_tlout( :,:) = 0.0_wp |
---|
| 278 | zqrp_tlout( :,:) = 0.0_wp |
---|
| 279 | zqns_adin( :,:) = 0.0_wp |
---|
| 280 | zqrp_adin( :,:) = 0.0_wp |
---|
| 281 | zqns_adout( :,:) = 0.0_wp |
---|
| 282 | zsst_m_adout(:,:) = 0.0_wp |
---|
| 283 | zr( :,:) = 0.0_wp |
---|
| 284 | !-------------------------------------------------------------------- |
---|
| 285 | ! Initialize the tangent input with random noise: dx |
---|
| 286 | !-------------------------------------------------------------------- |
---|
| 287 | |
---|
| 288 | DO jj = 1, jpj |
---|
| 289 | DO ji = 1, jpi |
---|
| 290 | iseed_2d(ji,jj) = - ( 596035 + & |
---|
| 291 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 292 | END DO |
---|
| 293 | END DO |
---|
| 294 | CALL grid_random( iseed_2d, zr, 'T', 0.0_wp, stdqns ) |
---|
| 295 | DO jj = nldj, nlej |
---|
| 296 | DO ji = nldi, nlei |
---|
| 297 | zqns_tlin(ji,jj) = zr(ji,jj) |
---|
| 298 | END DO |
---|
| 299 | END DO |
---|
| 300 | |
---|
| 301 | DO jj = 1, jpj |
---|
| 302 | DO ji = 1, jpi |
---|
| 303 | iseed_2d(ji,jj) = - ( 371498 + & |
---|
| 304 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 305 | END DO |
---|
| 306 | END DO |
---|
| 307 | CALL grid_random( iseed_2d, zr, 'T', 0.0_wp, stdt ) |
---|
| 308 | DO jj = nldj, nlej |
---|
| 309 | DO ji = nldi, nlei |
---|
| 310 | zsst_m_tlin(ji,jj) = zr(ji,jj) |
---|
| 311 | END DO |
---|
| 312 | END DO |
---|
| 313 | |
---|
| 314 | sst_m_tl(:,:) = zsst_m_tlin(:,:) |
---|
| 315 | qns_tl( :,:) = zqns_tlin( :,:) |
---|
| 316 | |
---|
| 317 | CALL sbc_ssr_tan (nit000) |
---|
| 318 | zqns_tlout(:,:) = qns_tl(:,:) |
---|
| 319 | zqrp_tlout(:,:) = qrp_tl(:,:) |
---|
| 320 | !-------------------------------------------------------------------- |
---|
| 321 | ! Initialize the adjoint variables: dy^* = W dy |
---|
| 322 | !-------------------------------------------------------------------- |
---|
| 323 | |
---|
| 324 | DO jj = nldj, nlej |
---|
| 325 | DO ji = nldi, nlei |
---|
| 326 | zqns_adin(ji,jj) = zqns_tlout(ji,jj) & |
---|
| 327 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,1) & |
---|
| 328 | & * tmask(ji,jj,1) |
---|
| 329 | END DO |
---|
| 330 | END DO |
---|
| 331 | DO jj = nldj, nlej |
---|
| 332 | DO ji = nldi, nlei |
---|
| 333 | zqrp_adin(ji,jj) = zqrp_tlout(ji,jj) & |
---|
| 334 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,1) & |
---|
| 335 | & * tmask(ji,jj,1) |
---|
| 336 | END DO |
---|
| 337 | END DO |
---|
| 338 | !-------------------------------------------------------------------- |
---|
| 339 | ! Compute the scalar product: ( L dx )^T W dy |
---|
| 340 | !-------------------------------------------------------------------- |
---|
| 341 | |
---|
| 342 | zsp1 = DOT_PRODUCT( zqns_tlout, zqns_adin ) & |
---|
| 343 | & + DOT_PRODUCT( zqrp_tlout, zqrp_adin ) |
---|
| 344 | |
---|
| 345 | !-------------------------------------------------------------------- |
---|
| 346 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
| 347 | !-------------------------------------------------------------------- |
---|
| 348 | qns_ad(:,:) = zqns_adin(:,:) |
---|
| 349 | qrp_ad(:,:) = zqrp_adin(:,:) |
---|
| 350 | CALL sbc_ssr_adj (nit000) |
---|
| 351 | zqns_adout( :,:) = qns_ad( :,:) |
---|
| 352 | zsst_m_adout(:,:) = sst_m_ad(:,:) |
---|
| 353 | |
---|
| 354 | zsp2 = DOT_PRODUCT( zqns_tlin, zqns_adout ) & |
---|
| 355 | & + DOT_PRODUCT( zsst_m_tlin, zsst_m_adout ) |
---|
| 356 | |
---|
| 357 | ! 14 char:'12345678901234' |
---|
| 358 | cl_name = 'sbc_ssr_adj ' |
---|
| 359 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
| 360 | |
---|
| 361 | DEALLOCATE( & |
---|
| 362 | & zqns_tlin, & |
---|
| 363 | & zsst_m_tlin, & |
---|
| 364 | & zqns_tlout, & |
---|
| 365 | & zqrp_tlout, & |
---|
| 366 | & zqns_adin, & |
---|
| 367 | & zqrp_adin, & |
---|
| 368 | & zqns_adout, & |
---|
| 369 | & zsst_m_adout, & |
---|
| 370 | & zr & |
---|
| 371 | & ) |
---|
| 372 | |
---|
| 373 | |
---|
| 374 | |
---|
| 375 | END SUBROUTINE sbc_ssr_adj_tst |
---|
| 376 | |
---|
| 377 | |
---|
| 378 | SUBROUTINE sbc_ssr_ini_tam( kindic ) |
---|
| 379 | USE fldread |
---|
| 380 | CHARACTER(len=100) :: cn_dir ! Root directory for location of ssr files |
---|
| 381 | TYPE(FLD_N) :: sn_sst, sn_sss ! informations about the fields to be read |
---|
| 382 | !!---------------------------------------------------------------------- |
---|
| 383 | INTEGER, INTENT(IN) :: kindic |
---|
| 384 | NAMELIST/namsbc_ssr/ cn_dir, nn_sstr, nn_sssr, rn_dqdt, rn_deds, sn_sst, & |
---|
| 385 | & sn_sss, ln_sssr_bnd, rn_sssr_bnd |
---|
| 386 | |
---|
| 387 | REWIND ( numnam ) ! ... read in namlist namflx |
---|
| 388 | READ( numnam, namsbc_ssr ) |
---|
| 389 | |
---|
| 390 | IF(lwp) THEN ! control print |
---|
| 391 | WRITE(numout,*) |
---|
| 392 | WRITE(numout,*) 'sbc_ssr_tam : SST and/or SSS damping term ' |
---|
| 393 | WRITE(numout,*) '~~~~~~~~~~~ ' |
---|
| 394 | WRITE(numout,*) ' SST restoring term (Yes=1) nn_sstr = ', nn_sstr |
---|
| 395 | WRITE(numout,*) ' SSS damping term (Yes=1, salt flux) nn_sssr = ', nn_sssr |
---|
| 396 | WRITE(numout,*) ' (Yes=2, volume flux) ' |
---|
| 397 | WRITE(numout,*) ' dQ/dT (restoring magnitude on SST) dqdt = ', rn_dqdt, ' W/m2/K' |
---|
| 398 | WRITE(numout,*) ' dE/dS (restoring magnitude on SST) deds = ', rn_deds, ' mm/day' |
---|
| 399 | ENDIF |
---|
| 400 | |
---|
| 401 | ! |
---|
| 402 | ! Initialize qrp and erp if no restoring |
---|
| 403 | IF ( kindic == 0 ) THEN |
---|
| 404 | qrp_tl(:,:) = 0.e0 |
---|
| 405 | erp_tl(:,:) = 0.e0 |
---|
| 406 | ELSEIF ( kindic == 1 ) THEN |
---|
| 407 | qrp_ad(:,:) = 0.e0 |
---|
| 408 | erp_ad(:,:) = 0.e0 |
---|
| 409 | END IF |
---|
| 410 | END SUBROUTINE sbc_ssr_ini_tam |
---|
| 411 | |
---|
| 412 | !!====================================================================== |
---|
| 413 | #endif |
---|
| 414 | END MODULE sbcssr_tam |
---|