- Timestamp:
- 2014-11-27T16:21:44+01:00 (9 years ago)
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branches/2014/dev_r4743_NOC2_ZTS/NEMOGCM/NEMO/LIM_SRC_3/limthd_dif.F90
r4688 r4899 75 75 !! 76 76 !! ** Inputs / Ouputs : (global commons) 77 !! surface temperature : t_su_ b78 !! ice/snow temperatures : t_i_ b, t_s_b79 !! ice salinities : s_i_ b77 !! surface temperature : t_su_1d 78 !! ice/snow temperatures : t_i_1d, t_s_1d 79 !! ice salinities : s_i_1d 80 80 !! number of layers in the ice/snow: nlay_i, nlay_s 81 81 !! profile of the ice/snow layers : z_i, z_s 82 !! total ice/snow thickness : ht_i_ b, ht_s_b82 !! total ice/snow thickness : ht_i_1d, ht_s_1d 83 83 !! 84 84 !! ** External : … … 98 98 INTEGER :: ii, ij ! temporary dummy loop index 99 99 INTEGER :: numeq ! current reference number of equation 100 INTEGER :: layer! vertical dummy loop index100 INTEGER :: jk ! vertical dummy loop index 101 101 INTEGER :: nconv ! number of iterations in iterative procedure 102 102 INTEGER :: minnumeqmin, maxnumeqmax … … 114 114 REAL(wp) :: zerritmax ! current maximal error on temperature 115 115 REAL(wp), POINTER, DIMENSION(:) :: ztfs ! ice melting point 116 REAL(wp), POINTER, DIMENSION(:) :: ztsu old! old surface temperature (before the iterative procedure )117 REAL(wp), POINTER, DIMENSION(:) :: ztsu oldit! surface temperature at previous iteration116 REAL(wp), POINTER, DIMENSION(:) :: ztsub ! old surface temperature (before the iterative procedure ) 117 REAL(wp), POINTER, DIMENSION(:) :: ztsubit ! surface temperature at previous iteration 118 118 REAL(wp), POINTER, DIMENSION(:) :: zh_i ! ice layer thickness 119 119 REAL(wp), POINTER, DIMENSION(:) :: zh_s ! snow layer thickness … … 129 129 REAL(wp), POINTER, DIMENSION(:,:) :: zradab_i ! Radiation absorbed in the ice 130 130 REAL(wp), POINTER, DIMENSION(:,:) :: zkappa_i ! Kappa factor in the ice 131 REAL(wp), POINTER, DIMENSION(:,:) :: zti old! Old temperature in the ice131 REAL(wp), POINTER, DIMENSION(:,:) :: ztib ! Old temperature in the ice 132 132 REAL(wp), POINTER, DIMENSION(:,:) :: zeta_i ! Eta factor in the ice 133 133 REAL(wp), POINTER, DIMENSION(:,:) :: ztitemp ! Temporary temperature in the ice to check the convergence … … 137 137 REAL(wp), POINTER, DIMENSION(:,:) :: zradab_s ! Radiation absorbed in the snow 138 138 REAL(wp), POINTER, DIMENSION(:,:) :: zkappa_s ! Kappa factor in the snow 139 REAL(wp), POINTER, DIMENSION(:,:) :: zeta_s 140 REAL(wp), POINTER, DIMENSION(:,:) :: ztstemp 141 REAL(wp), POINTER, DIMENSION(:,:) :: zts old! Temporary temperature in the snow142 REAL(wp), POINTER, DIMENSION(:,:) :: z_s 143 REAL(wp), POINTER, DIMENSION(:,:) :: zindterm ! Independent term144 REAL(wp), POINTER, DIMENSION(:,:) :: zindtbis ! temporary independent term139 REAL(wp), POINTER, DIMENSION(:,:) :: zeta_s ! Eta factor in the snow 140 REAL(wp), POINTER, DIMENSION(:,:) :: ztstemp ! Temporary temperature in the snow to check the convergence 141 REAL(wp), POINTER, DIMENSION(:,:) :: ztsb ! Temporary temperature in the snow 142 REAL(wp), POINTER, DIMENSION(:,:) :: z_s ! Vertical cotes of the layers in the snow 143 REAL(wp), POINTER, DIMENSION(:,:) :: zindterm ! Independent term 144 REAL(wp), POINTER, DIMENSION(:,:) :: zindtbis ! temporary independent term 145 145 REAL(wp), POINTER, DIMENSION(:,:) :: zdiagbis 146 REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrid ! tridiagonal system terms146 REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrid ! tridiagonal system terms 147 147 ! diag errors on heat 148 148 REAL(wp), POINTER, DIMENSION(:) :: zdq, zq_ini … … 151 151 ! 152 152 CALL wrk_alloc( jpij, numeqmin, numeqmax, isnow ) 153 CALL wrk_alloc( jpij, ztfs, ztsu old, ztsuoldit, zh_i, zh_s, zfsw )153 CALL wrk_alloc( jpij, ztfs, ztsub, ztsubit, zh_i, zh_s, zfsw ) 154 154 CALL wrk_alloc( jpij, zf, dzf, zerrit, zdifcase, zftrice, zihic, zhsu ) 155 CALL wrk_alloc( jpij, nlay_i+1, ztcond_i, zradtr_i, zradab_i, zkappa_i, zti old, zeta_i, ztitemp, z_i, zspeche_i, kjstart=0)156 CALL wrk_alloc( jpij, nlay_s+1, zradtr_s, zradab_s, zkappa_s, zts old, zeta_s, ztstemp, z_s, kjstart=0)157 CALL wrk_alloc( jpij, jkmax+2, zindterm, zindtbis, zdiagbis )158 CALL wrk_alloc( jpij, jkmax+2, 3, ztrid )155 CALL wrk_alloc( jpij, nlay_i+1, ztcond_i, zradtr_i, zradab_i, zkappa_i, ztib, zeta_i, ztitemp, z_i, zspeche_i, kjstart=0) 156 CALL wrk_alloc( jpij, nlay_s+1, zradtr_s, zradab_s, zkappa_s, ztsb, zeta_s, ztstemp, z_s, kjstart=0) 157 CALL wrk_alloc( jpij, nlay_i+3, zindterm, zindtbis, zdiagbis ) 158 CALL wrk_alloc( jpij, nlay_i+3, 3, ztrid ) 159 159 160 160 CALL wrk_alloc( jpij, zdq, zq_ini ) … … 163 163 zdq(:) = 0._wp ; zq_ini(:) = 0._wp 164 164 DO ji = kideb, kiut 165 zq_ini(ji) = ( SUM( q_i_ b(ji,1:nlay_i) ) * ht_i_b(ji) / REAL( nlay_i ) + &166 & SUM( q_s_ b(ji,1:nlay_s) ) * ht_s_b(ji) / REAL( nlay_s ) )165 zq_ini(ji) = ( SUM( q_i_1d(ji,1:nlay_i) ) * ht_i_1d(ji) / REAL( nlay_i ) + & 166 & SUM( q_s_1d(ji,1:nlay_s) ) * ht_s_1d(ji) / REAL( nlay_s ) ) 167 167 END DO 168 168 … … 173 173 DO ji = kideb , kiut 174 174 ! is there snow or not 175 isnow(ji)= NINT( 1._wp - MAX( 0._wp , SIGN(1._wp, - ht_s_ b(ji) ) ) )175 isnow(ji)= NINT( 1._wp - MAX( 0._wp , SIGN(1._wp, - ht_s_1d(ji) ) ) ) 176 176 ! surface temperature of fusion 177 177 ztfs(ji) = REAL( isnow(ji) ) * rtt + REAL( 1 - isnow(ji) ) * rtt 178 178 ! layer thickness 179 zh_i(ji) = ht_i_ b(ji) / REAL( nlay_i )180 zh_s(ji) = ht_s_ b(ji) / REAL( nlay_s )179 zh_i(ji) = ht_i_1d(ji) / REAL( nlay_i ) 180 zh_s(ji) = ht_s_1d(ji) / REAL( nlay_s ) 181 181 END DO 182 182 … … 188 188 z_i(:,0) = 0._wp ! vert. coord. of the up. lim. of the 1st ice layer 189 189 190 DO layer= 1, nlay_s ! vert. coord of the up. lim. of the layer-th snow layer191 DO ji = kideb , kiut 192 z_s(ji, layer) = z_s(ji,layer-1) + ht_s_b(ji) / REAL( nlay_s )193 END DO 194 END DO 195 196 DO layer= 1, nlay_i ! vert. coord of the up. lim. of the layer-th ice layer197 DO ji = kideb , kiut 198 z_i(ji, layer) = z_i(ji,layer-1) + ht_i_b(ji) / REAL( nlay_i )190 DO jk = 1, nlay_s ! vert. coord of the up. lim. of the layer-th snow layer 191 DO ji = kideb , kiut 192 z_s(ji,jk) = z_s(ji,jk-1) + ht_s_1d(ji) / REAL( nlay_s ) 193 END DO 194 END DO 195 196 DO jk = 1, nlay_i ! vert. coord of the up. lim. of the layer-th ice layer 197 DO ji = kideb , kiut 198 z_i(ji,jk) = z_i(ji,jk-1) + ht_i_1d(ji) / REAL( nlay_i ) 199 199 END DO 200 200 END DO … … 217 217 DO ji = kideb , kiut 218 218 ! switches 219 isnow(ji) = NINT( 1._wp - MAX( 0._wp , SIGN( 1._wp , - ht_s_ b(ji) ) ) )219 isnow(ji) = NINT( 1._wp - MAX( 0._wp , SIGN( 1._wp , - ht_s_1d(ji) ) ) ) 220 220 ! hs > 0, isnow = 1 221 221 zhsu (ji) = hnzst ! threshold for the computation of i0 222 zihic(ji) = MAX( 0._wp , 1._wp - ( ht_i_ b(ji) / zhsu(ji) ) )222 zihic(ji) = MAX( 0._wp , 1._wp - ( ht_i_1d(ji) / zhsu(ji) ) ) 223 223 224 224 i0(ji) = REAL( 1 - isnow(ji) ) * ( fr1_i0_1d(ji) + zihic(ji) * fr2_i0_1d(ji) ) … … 227 227 ! a function of the cloud cover 228 228 ! 229 !i0(ji) = (1.0-FLOAT(isnow(ji)))*3.0/(100*ht_s_ b(ji)+10.0)229 !i0(ji) = (1.0-FLOAT(isnow(ji)))*3.0/(100*ht_s_1d(ji)+10.0) 230 230 !formula used in Cice 231 231 END DO … … 249 249 END DO 250 250 251 DO layer= 1, nlay_s ! Radiation through snow251 DO jk = 1, nlay_s ! Radiation through snow 252 252 DO ji = kideb, kiut 253 253 ! ! radiation transmitted below the layer-th snow layer 254 zradtr_s(ji, layer) = zradtr_s(ji,0) * EXP( - zraext_s * ( MAX ( 0._wp , z_s(ji,layer) ) ) )254 zradtr_s(ji,jk) = zradtr_s(ji,0) * EXP( - zraext_s * ( MAX ( 0._wp , z_s(ji,jk) ) ) ) 255 255 ! ! radiation absorbed by the layer-th snow layer 256 zradab_s(ji, layer) = zradtr_s(ji,layer-1) - zradtr_s(ji,layer)256 zradab_s(ji,jk) = zradtr_s(ji,jk-1) - zradtr_s(ji,jk) 257 257 END DO 258 258 END DO … … 262 262 END DO 263 263 264 DO layer= 1, nlay_i ! Radiation through ice264 DO jk = 1, nlay_i ! Radiation through ice 265 265 DO ji = kideb, kiut 266 266 ! ! radiation transmitted below the layer-th ice layer 267 zradtr_i(ji, layer) = zradtr_i(ji,0) * EXP( - kappa_i * ( MAX ( 0._wp , z_i(ji,layer) ) ) )267 zradtr_i(ji,jk) = zradtr_i(ji,0) * EXP( - kappa_i * ( MAX ( 0._wp , z_i(ji,jk) ) ) ) 268 268 ! ! radiation absorbed by the layer-th ice layer 269 zradab_i(ji, layer) = zradtr_i(ji,layer-1) - zradtr_i(ji,layer)269 zradab_i(ji,jk) = zradtr_i(ji,jk-1) - zradtr_i(ji,jk) 270 270 END DO 271 271 END DO 272 272 273 273 DO ji = kideb, kiut ! Radiation transmitted below the ice 274 !!!ftr_ice_1d(ji) = ftr_ice_1d(ji) + iatte_1d(ji) * zradtr_i(ji,nlay_i) * a_i_ b(ji) / at_i_b(ji) ! clem modif274 !!!ftr_ice_1d(ji) = ftr_ice_1d(ji) + iatte_1d(ji) * zradtr_i(ji,nlay_i) * a_i_1d(ji) / at_i_1d(ji) ! clem modif 275 275 ftr_ice_1d(ji) = zradtr_i(ji,nlay_i) 276 276 END DO … … 282 282 ! 283 283 DO ji = kideb, kiut ! Old surface temperature 284 ztsu old (ji) = t_su_b(ji) ! temperature at the beg of iter pr.285 ztsu oldit(ji) = t_su_b(ji) ! temperature at the previous iter286 t_su_ b (ji) = MIN( t_su_b(ji), ztfs(ji) - ztsu_err ) ! necessary284 ztsub (ji) = t_su_1d(ji) ! temperature at the beg of iter pr. 285 ztsubit(ji) = t_su_1d(ji) ! temperature at the previous iter 286 t_su_1d (ji) = MIN( t_su_1d(ji), ztfs(ji) - ztsu_err ) ! necessary 287 287 zerrit (ji) = 1000._wp ! initial value of error 288 288 END DO 289 289 290 DO layer= 1, nlay_s ! Old snow temperature291 DO ji = kideb , kiut 292 zts old(ji,layer) = t_s_b(ji,layer)293 END DO 294 END DO 295 296 DO layer= 1, nlay_i ! Old ice temperature297 DO ji = kideb , kiut 298 zti old(ji,layer) = t_i_b(ji,layer)290 DO jk = 1, nlay_s ! Old snow temperature 291 DO ji = kideb , kiut 292 ztsb(ji,jk) = t_s_1d(ji,jk) 293 END DO 294 END DO 295 296 DO jk = 1, nlay_i ! Old ice temperature 297 DO ji = kideb , kiut 298 ztib(ji,jk) = t_i_1d(ji,jk) 299 299 END DO 300 300 END DO … … 313 313 IF( thcon_i_swi == 0 ) THEN ! Untersteiner (1964) formula 314 314 DO ji = kideb , kiut 315 ztcond_i(ji,0) = rcdic + zbeta*s_i_ b(ji,1) / MIN(-epsi10,t_i_b(ji,1)-rtt)315 ztcond_i(ji,0) = rcdic + zbeta*s_i_1d(ji,1) / MIN(-epsi10,t_i_1d(ji,1)-rtt) 316 316 ztcond_i(ji,0) = MAX(ztcond_i(ji,0),zkimin) 317 317 END DO 318 DO layer= 1, nlay_i-1318 DO jk = 1, nlay_i-1 319 319 DO ji = kideb , kiut 320 ztcond_i(ji, layer) = rcdic + zbeta*( s_i_b(ji,layer) + s_i_b(ji,layer+1) ) / &321 MIN(-2.0_wp * epsi10, t_i_ b(ji,layer)+t_i_b(ji,layer+1) - 2.0_wp * rtt)322 ztcond_i(ji, layer) = MAX(ztcond_i(ji,layer),zkimin)320 ztcond_i(ji,jk) = rcdic + zbeta*( s_i_1d(ji,jk) + s_i_1d(ji,jk+1) ) / & 321 MIN(-2.0_wp * epsi10, t_i_1d(ji,jk)+t_i_1d(ji,jk+1) - 2.0_wp * rtt) 322 ztcond_i(ji,jk) = MAX(ztcond_i(ji,jk),zkimin) 323 323 END DO 324 324 END DO … … 327 327 IF( thcon_i_swi == 1 ) THEN ! Pringle et al formula included: 2.11 + 0.09 S/T - 0.011.T 328 328 DO ji = kideb , kiut 329 ztcond_i(ji,0) = rcdic + 0.090_wp * s_i_ b(ji,1) / MIN( -epsi10, t_i_b(ji,1)-rtt ) &330 & - 0.011_wp * ( t_i_ b(ji,1) - rtt )329 ztcond_i(ji,0) = rcdic + 0.090_wp * s_i_1d(ji,1) / MIN( -epsi10, t_i_1d(ji,1)-rtt ) & 330 & - 0.011_wp * ( t_i_1d(ji,1) - rtt ) 331 331 ztcond_i(ji,0) = MAX( ztcond_i(ji,0), zkimin ) 332 332 END DO 333 DO layer= 1, nlay_i-1333 DO jk = 1, nlay_i-1 334 334 DO ji = kideb , kiut 335 ztcond_i(ji,layer) = rcdic + 0.090_wp * ( s_i_b(ji,layer) + s_i_b(ji,layer+1) ) & 336 & / MIN(-2.0_wp * epsi10, t_i_b(ji,layer)+t_i_b(ji,layer+1) - 2.0_wp * rtt) & 337 & - 0.0055_wp* ( t_i_b(ji,layer) + t_i_b(ji,layer+1) - 2.0*rtt ) 338 ztcond_i(ji,layer) = MAX( ztcond_i(ji,layer), zkimin ) 335 ztcond_i(ji,jk) = rcdic + & 336 & 0.090_wp * ( s_i_1d(ji,jk) + s_i_1d(ji,jk+1) ) & 337 & / MIN(-2.0_wp * epsi10, t_i_1d(ji,jk)+t_i_1d(ji,jk+1) - 2.0_wp * rtt) & 338 & - 0.0055_wp* ( t_i_1d(ji,jk) + t_i_1d(ji,jk+1) - 2.0*rtt ) 339 ztcond_i(ji,jk) = MAX( ztcond_i(ji,jk), zkimin ) 339 340 END DO 340 341 END DO 341 342 DO ji = kideb , kiut 342 ztcond_i(ji,nlay_i) = rcdic + 0.090_wp * s_i_ b(ji,nlay_i) / MIN(-epsi10,t_bo_b(ji)-rtt) &343 & - 0.011_wp * ( t_bo_ b(ji) - rtt )343 ztcond_i(ji,nlay_i) = rcdic + 0.090_wp * s_i_1d(ji,nlay_i) / MIN(-epsi10,t_bo_1d(ji)-rtt) & 344 & - 0.011_wp * ( t_bo_1d(ji) - rtt ) 344 345 ztcond_i(ji,nlay_i) = MAX( ztcond_i(ji,nlay_i), zkimin ) 345 346 END DO … … 357 358 END DO 358 359 359 DO layer= 1, nlay_s-1360 DO ji = kideb , kiut 361 zkappa_s(ji, layer) = 2.0 * rcdsn / &360 DO jk = 1, nlay_s-1 361 DO ji = kideb , kiut 362 zkappa_s(ji,jk) = 2.0 * rcdsn / & 362 363 MAX(epsi10,2.0*zh_s(ji)) 363 364 END DO 364 365 END DO 365 366 366 DO layer= 1, nlay_i-1367 DO jk = 1, nlay_i-1 367 368 DO ji = kideb , kiut 368 369 !-- Ice kappa factors 369 zkappa_i(ji, layer) = 2.0*ztcond_i(ji,layer)/ &370 zkappa_i(ji,jk) = 2.0*ztcond_i(ji,jk)/ & 370 371 MAX(epsi10,2.0*zh_i(ji)) 371 372 END DO … … 386 387 !------------------------------------------------------------------------------| 387 388 ! 388 DO layer= 1, nlay_i389 DO ji = kideb , kiut 390 ztitemp(ji, layer) = t_i_b(ji,layer)391 zspeche_i(ji, layer) = cpic + zgamma*s_i_b(ji,layer)/ &392 MAX((t_i_ b(ji,layer)-rtt)*(ztiold(ji,layer)-rtt),epsi10)393 zeta_i(ji, layer) = rdt_ice / MAX(rhoic*zspeche_i(ji,layer)*zh_i(ji), &389 DO jk = 1, nlay_i 390 DO ji = kideb , kiut 391 ztitemp(ji,jk) = t_i_1d(ji,jk) 392 zspeche_i(ji,jk) = cpic + zgamma*s_i_1d(ji,jk)/ & 393 MAX((t_i_1d(ji,jk)-rtt)*(ztib(ji,jk)-rtt),epsi10) 394 zeta_i(ji,jk) = rdt_ice / MAX(rhoic*zspeche_i(ji,jk)*zh_i(ji), & 394 395 epsi10) 395 396 END DO 396 397 END DO 397 398 398 DO layer= 1, nlay_s399 DO ji = kideb , kiut 400 ztstemp(ji, layer) = t_s_b(ji,layer)401 zeta_s(ji, layer) = rdt_ice / MAX(rhosn*cpic*zh_s(ji),epsi10)399 DO jk = 1, nlay_s 400 DO ji = kideb , kiut 401 ztstemp(ji,jk) = t_s_1d(ji,jk) 402 zeta_s(ji,jk) = rdt_ice / MAX(rhosn*cpic*zh_s(ji),epsi10) 402 403 END DO 403 404 END DO … … 409 410 DO ji = kideb , kiut 410 411 ! update of the non solar flux according to the update in T_su 411 qns_ice_1d(ji) = qns_ice_1d(ji) + dqns_ice_1d(ji) * ( t_su_ b(ji) - ztsuoldit(ji) )412 qns_ice_1d(ji) = qns_ice_1d(ji) + dqns_ice_1d(ji) * ( t_su_1d(ji) - ztsubit(ji) ) 412 413 413 414 ! update incoming flux … … 429 430 !!ice interior terms (top equation has the same form as the others) 430 431 431 DO numeq=1, jkmax+2432 DO numeq=1,nlay_i+3 432 433 DO ji = kideb , kiut 433 434 ztrid(ji,numeq,1) = 0. … … 442 443 DO numeq = nlay_s + 2, nlay_s + nlay_i 443 444 DO ji = kideb , kiut 444 layer= numeq - nlay_s - 1445 ztrid(ji,numeq,1) = - zeta_i(ji, layer)*zkappa_i(ji,layer-1)446 ztrid(ji,numeq,2) = 1.0 + zeta_i(ji, layer)*(zkappa_i(ji,layer-1) + &447 zkappa_i(ji, layer))448 ztrid(ji,numeq,3) = - zeta_i(ji, layer)*zkappa_i(ji,layer)449 zindterm(ji,numeq) = zti old(ji,layer) + zeta_i(ji,layer)* &450 zradab_i(ji, layer)445 jk = numeq - nlay_s - 1 446 ztrid(ji,numeq,1) = - zeta_i(ji,jk)*zkappa_i(ji,jk-1) 447 ztrid(ji,numeq,2) = 1.0 + zeta_i(ji,jk)*(zkappa_i(ji,jk-1) + & 448 zkappa_i(ji,jk)) 449 ztrid(ji,numeq,3) = - zeta_i(ji,jk)*zkappa_i(ji,jk) 450 zindterm(ji,numeq) = ztib(ji,jk) + zeta_i(ji,jk)* & 451 zradab_i(ji,jk) 451 452 END DO 452 453 ENDDO … … 459 460 + zkappa_i(ji,nlay_i-1) ) 460 461 ztrid(ji,numeq,3) = 0.0 461 zindterm(ji,numeq) = zti old(ji,nlay_i) + zeta_i(ji,nlay_i)* &462 zindterm(ji,numeq) = ztib(ji,nlay_i) + zeta_i(ji,nlay_i)* & 462 463 ( zradab_i(ji,nlay_i) + zkappa_i(ji,nlay_i)*zg1 & 463 * t_bo_ b(ji) )464 * t_bo_1d(ji) ) 464 465 ENDDO 465 466 466 467 467 468 DO ji = kideb , kiut 468 IF ( ht_s_ b(ji).gt.0.0 ) THEN469 IF ( ht_s_1d(ji).gt.0.0 ) THEN 469 470 ! 470 471 !------------------------------------------------------------------------------| … … 474 475 !!snow interior terms (bottom equation has the same form as the others) 475 476 DO numeq = 3, nlay_s + 1 476 layer= numeq - 1477 ztrid(ji,numeq,1) = - zeta_s(ji, layer)*zkappa_s(ji,layer-1)478 ztrid(ji,numeq,2) = 1.0 + zeta_s(ji, layer)*( zkappa_s(ji,layer-1) + &479 zkappa_s(ji, layer) )480 ztrid(ji,numeq,3) = - zeta_s(ji, layer)*zkappa_s(ji,layer)481 zindterm(ji,numeq) = zts old(ji,layer) + zeta_s(ji,layer)* &482 zradab_s(ji, layer)477 jk = numeq - 1 478 ztrid(ji,numeq,1) = - zeta_s(ji,jk)*zkappa_s(ji,jk-1) 479 ztrid(ji,numeq,2) = 1.0 + zeta_s(ji,jk)*( zkappa_s(ji,jk-1) + & 480 zkappa_s(ji,jk) ) 481 ztrid(ji,numeq,3) = - zeta_s(ji,jk)*zkappa_s(ji,jk) 482 zindterm(ji,numeq) = ztsb(ji,jk) + zeta_s(ji,jk)* & 483 zradab_s(ji,jk) 483 484 END DO 484 485 … … 487 488 ztrid(ji,nlay_s+2,3) = 0.0 488 489 zindterm(ji,nlay_s+2) = zindterm(ji,nlay_s+2) + zkappa_i(ji,1)* & 489 t_bo_ b(ji)490 t_bo_1d(ji) 490 491 ENDIF 491 492 492 IF ( t_su_ b(ji) .LT. rtt ) THEN493 IF ( t_su_1d(ji) .LT. rtt ) THEN 493 494 494 495 !------------------------------------------------------------------------------| … … 503 504 ztrid(ji,1,2) = dzf(ji) - zg1s*zkappa_s(ji,0) 504 505 ztrid(ji,1,3) = zg1s*zkappa_s(ji,0) 505 zindterm(ji,1) = dzf(ji)*t_su_ b(ji) - zf(ji)506 zindterm(ji,1) = dzf(ji)*t_su_1d(ji) - zf(ji) 506 507 507 508 !!first layer of snow equation … … 509 510 ztrid(ji,2,2) = 1.0 + zeta_s(ji,1)*(zkappa_s(ji,1) + zkappa_s(ji,0)*zg1s) 510 511 ztrid(ji,2,3) = - zeta_s(ji,1)* zkappa_s(ji,1) 511 zindterm(ji,2) = zts old(ji,1) + zeta_s(ji,1)*zradab_s(ji,1)512 zindterm(ji,2) = ztsb(ji,1) + zeta_s(ji,1)*zradab_s(ji,1) 512 513 513 514 ELSE … … 526 527 zkappa_s(ji,0) * zg1s ) 527 528 ztrid(ji,2,3) = - zeta_s(ji,1)*zkappa_s(ji,1) 528 zindterm(ji,2) = zts old(ji,1) + zeta_s(ji,1) * &529 zindterm(ji,2) = ztsb(ji,1) + zeta_s(ji,1) * & 529 530 ( zradab_s(ji,1) + & 530 zkappa_s(ji,0) * zg1s * t_su_ b(ji) )531 zkappa_s(ji,0) * zg1s * t_su_1d(ji) ) 531 532 ENDIF 532 533 ELSE … … 536 537 !------------------------------------------------------------------------------| 537 538 ! 538 IF (t_su_ b(ji) .LT. rtt) THEN539 IF (t_su_1d(ji) .LT. rtt) THEN 539 540 ! 540 541 !------------------------------------------------------------------------------| … … 550 551 ztrid(ji,numeqmin(ji),2) = dzf(ji) - zkappa_i(ji,0)*zg1 551 552 ztrid(ji,numeqmin(ji),3) = zkappa_i(ji,0)*zg1 552 zindterm(ji,numeqmin(ji)) = dzf(ji)*t_su_ b(ji) - zf(ji)553 zindterm(ji,numeqmin(ji)) = dzf(ji)*t_su_1d(ji) - zf(ji) 553 554 554 555 !!first layer of ice equation … … 557 558 + zkappa_i(ji,0) * zg1 ) 558 559 ztrid(ji,numeqmin(ji)+1,3) = - zeta_i(ji,1)*zkappa_i(ji,1) 559 zindterm(ji,numeqmin(ji)+1)= zti old(ji,1) + zeta_i(ji,1)*zradab_i(ji,1)560 zindterm(ji,numeqmin(ji)+1)= ztib(ji,1) + zeta_i(ji,1)*zradab_i(ji,1) 560 561 561 562 !!case of only one layer in the ice (surface & ice equations are altered) … … 570 571 ztrid(ji,numeqmin(ji)+1,3) = 0.0 571 572 572 zindterm(ji,numeqmin(ji)+1) = zti old(ji,1) + zeta_i(ji,1)* &573 ( zradab_i(ji,1) + zkappa_i(ji,1)*t_bo_ b(ji) )573 zindterm(ji,numeqmin(ji)+1) = ztib(ji,1) + zeta_i(ji,1)* & 574 ( zradab_i(ji,1) + zkappa_i(ji,1)*t_bo_1d(ji) ) 574 575 ENDIF 575 576 … … 590 591 zg1) 591 592 ztrid(ji,numeqmin(ji),3) = - zeta_i(ji,1) * zkappa_i(ji,1) 592 zindterm(ji,numeqmin(ji)) = zti old(ji,1) + zeta_i(ji,1)*( zradab_i(ji,1) + &593 zkappa_i(ji,0) * zg1 * t_su_ b(ji) )593 zindterm(ji,numeqmin(ji)) = ztib(ji,1) + zeta_i(ji,1)*( zradab_i(ji,1) + & 594 zkappa_i(ji,0) * zg1 * t_su_1d(ji) ) 594 595 595 596 !!case of only one layer in the ice (surface & ice equations are altered) … … 599 600 zkappa_i(ji,1)) 600 601 ztrid(ji,numeqmin(ji),3) = 0.0 601 zindterm(ji,numeqmin(ji)) = zti old(ji,1) + zeta_i(ji,1)* &602 (zradab_i(ji,1) + zkappa_i(ji,1)*t_bo_ b(ji)) &603 + t_su_ b(ji)*zeta_i(ji,1)*zkappa_i(ji,0)*2.0602 zindterm(ji,numeqmin(ji)) = ztib(ji,1) + zeta_i(ji,1)* & 603 (zradab_i(ji,1) + zkappa_i(ji,1)*t_bo_1d(ji)) & 604 + t_su_1d(ji)*zeta_i(ji,1)*zkappa_i(ji,0)*2.0 604 605 ENDIF 605 606 … … 620 621 621 622 maxnumeqmax = 0 622 minnumeqmin = jkmax+4623 minnumeqmin = nlay_i+5 623 624 624 625 DO ji = kideb , kiut … … 629 630 END DO 630 631 631 DO layer= minnumeqmin+1, maxnumeqmax632 DO ji = kideb , kiut 633 numeq = min(max(numeqmin(ji)+1, layer),numeqmax(ji))632 DO jk = minnumeqmin+1, maxnumeqmax 633 DO ji = kideb , kiut 634 numeq = min(max(numeqmin(ji)+1,jk),numeqmax(ji)) 634 635 zdiagbis(ji,numeq) = ztrid(ji,numeq,2) - ztrid(ji,numeq,1)* & 635 636 ztrid(ji,numeq-1,3)/zdiagbis(ji,numeq-1) … … 641 642 DO ji = kideb , kiut 642 643 ! ice temperatures 643 t_i_ b(ji,nlay_i) = zindtbis(ji,numeqmax(ji))/zdiagbis(ji,numeqmax(ji))644 t_i_1d(ji,nlay_i) = zindtbis(ji,numeqmax(ji))/zdiagbis(ji,numeqmax(ji)) 644 645 END DO 645 646 646 647 DO numeq = nlay_i + nlay_s + 1, nlay_s + 2, -1 647 648 DO ji = kideb , kiut 648 layer= numeq - nlay_s - 1649 t_i_ b(ji,layer) = (zindtbis(ji,numeq) - ztrid(ji,numeq,3)* &650 t_i_ b(ji,layer+1))/zdiagbis(ji,numeq)649 jk = numeq - nlay_s - 1 650 t_i_1d(ji,jk) = (zindtbis(ji,numeq) - ztrid(ji,numeq,3)* & 651 t_i_1d(ji,jk+1))/zdiagbis(ji,numeq) 651 652 END DO 652 653 END DO … … 654 655 DO ji = kideb , kiut 655 656 ! snow temperatures 656 IF (ht_s_ b(ji).GT.0._wp) &657 t_s_ b(ji,nlay_s) = (zindtbis(ji,nlay_s+1) - ztrid(ji,nlay_s+1,3) &658 * t_i_ b(ji,1))/zdiagbis(ji,nlay_s+1) &659 * MAX(0.0,SIGN(1.0,ht_s_ b(ji)))657 IF (ht_s_1d(ji).GT.0._wp) & 658 t_s_1d(ji,nlay_s) = (zindtbis(ji,nlay_s+1) - ztrid(ji,nlay_s+1,3) & 659 * t_i_1d(ji,1))/zdiagbis(ji,nlay_s+1) & 660 * MAX(0.0,SIGN(1.0,ht_s_1d(ji))) 660 661 661 662 ! surface temperature 662 isnow(ji) = NINT( 1.0 - MAX( 0.0 , SIGN( 1.0 , -ht_s_ b(ji) ) ) )663 ztsu oldit(ji) = t_su_b(ji)664 IF( t_su_ b(ji) < ztfs(ji) ) &665 t_su_ b(ji) = ( zindtbis(ji,numeqmin(ji)) - ztrid(ji,numeqmin(ji),3)* ( REAL( isnow(ji) )*t_s_b(ji,1) &666 & + REAL( 1 - isnow(ji) )*t_i_ b(ji,1) ) ) / zdiagbis(ji,numeqmin(ji))663 isnow(ji) = NINT( 1.0 - MAX( 0.0 , SIGN( 1.0 , -ht_s_1d(ji) ) ) ) 664 ztsubit(ji) = t_su_1d(ji) 665 IF( t_su_1d(ji) < ztfs(ji) ) & 666 t_su_1d(ji) = ( zindtbis(ji,numeqmin(ji)) - ztrid(ji,numeqmin(ji),3)* ( REAL( isnow(ji) )*t_s_1d(ji,1) & 667 & + REAL( 1 - isnow(ji) )*t_i_1d(ji,1) ) ) / zdiagbis(ji,numeqmin(ji)) 667 668 END DO 668 669 ! … … 674 675 ! zerrit(ji) is a measure of error, it has to be under maxer_i_thd 675 676 DO ji = kideb , kiut 676 t_su_ b(ji) = MAX( MIN( t_su_b(ji) , ztfs(ji) ) , 190._wp )677 zerrit(ji) = ABS( t_su_ b(ji) - ztsuoldit(ji) )678 END DO 679 680 DO layer= 1, nlay_s681 DO ji = kideb , kiut 682 t_s_ b(ji,layer) = MAX( MIN( t_s_b(ji,layer), rtt ), 190._wp )683 zerrit(ji) = MAX(zerrit(ji),ABS(t_s_ b(ji,layer) - ztstemp(ji,layer)))684 END DO 685 END DO 686 687 DO layer= 1, nlay_i688 DO ji = kideb , kiut 689 ztmelt_i = -tmut * s_i_ b(ji,layer) + rtt690 t_i_ b(ji,layer) = MAX(MIN(t_i_b(ji,layer),ztmelt_i), 190._wp)691 zerrit(ji) = MAX(zerrit(ji),ABS(t_i_ b(ji,layer) - ztitemp(ji,layer)))677 t_su_1d(ji) = MAX( MIN( t_su_1d(ji) , ztfs(ji) ) , 190._wp ) 678 zerrit(ji) = ABS( t_su_1d(ji) - ztsubit(ji) ) 679 END DO 680 681 DO jk = 1, nlay_s 682 DO ji = kideb , kiut 683 t_s_1d(ji,jk) = MAX( MIN( t_s_1d(ji,jk), rtt ), 190._wp ) 684 zerrit(ji) = MAX(zerrit(ji),ABS(t_s_1d(ji,jk) - ztstemp(ji,jk))) 685 END DO 686 END DO 687 688 DO jk = 1, nlay_i 689 DO ji = kideb , kiut 690 ztmelt_i = -tmut * s_i_1d(ji,jk) + rtt 691 t_i_1d(ji,jk) = MAX(MIN(t_i_1d(ji,jk),ztmelt_i), 190._wp) 692 zerrit(ji) = MAX(zerrit(ji),ABS(t_i_1d(ji,jk) - ztitemp(ji,jk))) 692 693 END DO 693 694 END DO … … 714 715 DO ji = kideb, kiut 715 716 ! forced mode only : update of latent heat fluxes (sublimation) (always >=0, upward flux) 716 IF( .NOT. lk_cpl) qla_ice_1d (ji) = MAX( 0._wp, qla_ice_1d (ji) + dqla_ice_1d(ji) * ( t_su_ b(ji) - ztsuold(ji) ) )717 IF( .NOT. lk_cpl) qla_ice_1d (ji) = MAX( 0._wp, qla_ice_1d (ji) + dqla_ice_1d(ji) * ( t_su_1d(ji) - ztsub(ji) ) ) 717 718 ! ! surface ice conduction flux 718 isnow(ji) = NINT( 1._wp - MAX( 0._wp, SIGN( 1._wp, -ht_s_ b(ji) ) ) )719 fc_su(ji) = - REAL( isnow(ji) ) * zkappa_s(ji,0) * zg1s * (t_s_ b(ji,1) - t_su_b(ji)) &720 & - REAL( 1 - isnow(ji) ) * zkappa_i(ji,0) * zg1 * (t_i_ b(ji,1) - t_su_b(ji))719 isnow(ji) = NINT( 1._wp - MAX( 0._wp, SIGN( 1._wp, -ht_s_1d(ji) ) ) ) 720 fc_su(ji) = - REAL( isnow(ji) ) * zkappa_s(ji,0) * zg1s * (t_s_1d(ji,1) - t_su_1d(ji)) & 721 & - REAL( 1 - isnow(ji) ) * zkappa_i(ji,0) * zg1 * (t_i_1d(ji,1) - t_su_1d(ji)) 721 722 ! ! bottom ice conduction flux 722 fc_bo_i(ji) = - zkappa_i(ji,nlay_i) * ( zg1*(t_bo_ b(ji) - t_i_b(ji,nlay_i)) )723 fc_bo_i(ji) = - zkappa_i(ji,nlay_i) * ( zg1*(t_bo_1d(ji) - t_i_1d(ji,nlay_i)) ) 723 724 END DO 724 725 … … 727 728 !----------------------------------------- 728 729 DO ji = kideb, kiut 729 IF( t_su_b(ji) < rtt ) THEN ! case T_su < 0degC 730 hfx_dif_1d(ji) = hfx_dif_1d(ji) + ( qns_ice_1d(ji) + qsr_ice_1d(ji) - zradtr_i(ji,nlay_i) - fc_bo_i(ji) ) * a_i_b(ji) 730 IF( t_su_1d(ji) < rtt ) THEN ! case T_su < 0degC 731 hfx_dif_1d(ji) = hfx_dif_1d(ji) + & 732 & ( qns_ice_1d(ji) + qsr_ice_1d(ji) - zradtr_i(ji,nlay_i) - fc_bo_i(ji) ) * a_i_1d(ji) 731 733 ELSE ! case T_su = 0degC 732 hfx_dif_1d(ji) = hfx_dif_1d(ji) + ( fc_su(ji) + i0(ji) * qsr_ice_1d(ji) - zradtr_i(ji,nlay_i) - fc_bo_i(ji) ) * a_i_b(ji) 734 hfx_dif_1d(ji) = hfx_dif_1d(ji) + & 735 & ( fc_su(ji) + i0(ji) * qsr_ice_1d(ji) - zradtr_i(ji,nlay_i) - fc_bo_i(ji) ) * a_i_1d(ji) 733 736 ENDIF 734 737 END DO … … 739 742 ! --- diag error on heat diffusion - PART 2 --- ! 740 743 DO ji = kideb, kiut 741 zdq(ji) = - zq_ini(ji) + ( SUM( q_i_ b(ji,1:nlay_i) ) * ht_i_b(ji) / REAL( nlay_i ) + &742 & SUM( q_s_ b(ji,1:nlay_s) ) * ht_s_b(ji) / REAL( nlay_s ) )744 zdq(ji) = - zq_ini(ji) + ( SUM( q_i_1d(ji,1:nlay_i) ) * ht_i_1d(ji) / REAL( nlay_i ) + & 745 & SUM( q_s_1d(ji,1:nlay_s) ) * ht_s_1d(ji) / REAL( nlay_s ) ) 743 746 zhfx_err = ( fc_su(ji) + i0(ji) * qsr_ice_1d(ji) - zradtr_i(ji,nlay_i) - fc_bo_i(ji) + zdq(ji) * r1_rdtice ) 744 hfx_err_1d(ji) = hfx_err_1d(ji) + zhfx_err * a_i_ b(ji)747 hfx_err_1d(ji) = hfx_err_1d(ji) + zhfx_err * a_i_1d(ji) 745 748 ! --- correction of qns_ice and surface conduction flux --- ! 746 749 qns_ice_1d(ji) = qns_ice_1d(ji) - zhfx_err … … 748 751 ! --- Heat flux at the ice surface in W.m-2 --- ! 749 752 ii = MOD( npb(ji) - 1, jpi ) + 1 ; ij = ( npb(ji) - 1 ) / jpi + 1 750 hfx_in (ii,ij) = hfx_in (ii,ij) + a_i_ b(ji) * ( qsr_ice_1d(ji) + qns_ice_1d(ji) )753 hfx_in (ii,ij) = hfx_in (ii,ij) + a_i_1d(ji) * ( qsr_ice_1d(ji) + qns_ice_1d(ji) ) 751 754 END DO 752 755 753 756 ! 754 757 CALL wrk_dealloc( jpij, numeqmin, numeqmax, isnow ) 755 CALL wrk_dealloc( jpij, ztfs, ztsu old, ztsuoldit, zh_i, zh_s, zfsw )758 CALL wrk_dealloc( jpij, ztfs, ztsub, ztsubit, zh_i, zh_s, zfsw ) 756 759 CALL wrk_dealloc( jpij, zf, dzf, zerrit, zdifcase, zftrice, zihic, zhsu ) 757 CALL wrk_dealloc( jpij, nlay_i+1, ztcond_i, zradtr_i, zradab_i, zkappa_i, ztiold, zeta_i, ztitemp, z_i, zspeche_i, kjstart = 0 ) 758 CALL wrk_dealloc( jpij, nlay_s+1, zradtr_s, zradab_s, zkappa_s, ztsold, zeta_s, ztstemp, z_s, kjstart = 0 ) 759 CALL wrk_dealloc( jpij, jkmax+2, zindterm, zindtbis, zdiagbis ) 760 CALL wrk_dealloc( jpij, jkmax+2, 3, ztrid ) 760 CALL wrk_dealloc( jpij, nlay_i+1, ztcond_i, zradtr_i, zradab_i, zkappa_i, & 761 & ztib, zeta_i, ztitemp, z_i, zspeche_i, kjstart = 0 ) 762 CALL wrk_dealloc( jpij, nlay_s+1, zradtr_s, zradab_s, zkappa_s, ztsb, zeta_s, ztstemp, z_s, kjstart = 0 ) 763 CALL wrk_dealloc( jpij, nlay_i+3, zindterm, zindtbis, zdiagbis ) 764 CALL wrk_dealloc( jpij, nlay_i+3, 3, ztrid ) 761 765 CALL wrk_dealloc( jpij, zdq, zq_ini ) 762 766 … … 779 783 DO jk = 1, nlay_i ! Sea ice energy of melting 780 784 DO ji = kideb, kiut 781 ztmelts = - tmut * s_i_ b(ji,jk) + rtt782 zindb = MAX( 0._wp , SIGN( 1._wp , -(t_i_ b(ji,jk) - rtt) - epsi10 ) )783 q_i_ b(ji,jk) = rhoic * ( cpic * ( ztmelts - t_i_b(ji,jk) ) &784 & + lfus * ( 1.0 - zindb * ( ztmelts-rtt ) / MIN( t_i_ b(ji,jk)-rtt, -epsi10 ) ) &785 ztmelts = - tmut * s_i_1d(ji,jk) + rtt 786 zindb = MAX( 0._wp , SIGN( 1._wp , -(t_i_1d(ji,jk) - rtt) - epsi10 ) ) 787 q_i_1d(ji,jk) = rhoic * ( cpic * ( ztmelts - t_i_1d(ji,jk) ) & 788 & + lfus * ( 1.0 - zindb * ( ztmelts-rtt ) / MIN( t_i_1d(ji,jk)-rtt, -epsi10 ) ) & 785 789 & - rcp * ( ztmelts-rtt ) ) 786 790 END DO … … 788 792 DO jk = 1, nlay_s ! Snow energy of melting 789 793 DO ji = kideb, kiut 790 q_s_ b(ji,jk) = rhosn * ( cpic * ( rtt - t_s_b(ji,jk) ) + lfus )794 q_s_1d(ji,jk) = rhosn * ( cpic * ( rtt - t_s_1d(ji,jk) ) + lfus ) 791 795 END DO 792 796 END DO
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