Changeset 5600 for branches/2014/dev_r4650_UKMO14.12_STAND_ALONE_OBSOPER/NEMOGCM/NEMO/LIM_SRC_3/limthd_dif.F90
- Timestamp:
- 2015-07-15T17:46:12+02:00 (9 years ago)
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branches/2014/dev_r4650_UKMO14.12_STAND_ALONE_OBSOPER/NEMOGCM/NEMO/LIM_SRC_3/limthd_dif.F90
r5034 r5600 19 19 USE phycst ! physical constants (ocean directory) 20 20 USE ice ! LIM-3 variables 21 USE par_ice ! LIM-3 parameters22 21 USE thd_ice ! LIM-3: thermodynamics 23 22 USE in_out_manager ! I/O manager … … 25 24 USE wrk_nemo ! work arrays 26 25 USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) 27 USE sbc_oce, ONLY : lk_cpl28 26 29 27 IMPLICIT NONE … … 100 98 INTEGER :: nconv ! number of iterations in iterative procedure 101 99 INTEGER :: minnumeqmin, maxnumeqmax 100 102 101 INTEGER, POINTER, DIMENSION(:) :: numeqmin ! reference number of top equation 103 102 INTEGER, POINTER, DIMENSION(:) :: numeqmax ! reference number of bottom equation 104 INTEGER, POINTER, DIMENSION(:) :: isnow ! switch for presence (1) or absence (0) of snow103 105 104 REAL(wp) :: zg1s = 2._wp ! for the tridiagonal system 106 105 REAL(wp) :: zg1 = 2._wp ! … … 112 111 REAL(wp) :: ztmelt_i ! ice melting temperature 113 112 REAL(wp) :: zerritmax ! current maximal error on temperature 114 REAL(wp), POINTER, DIMENSION(:) :: ztfs ! ice melting point 115 REAL(wp), POINTER, DIMENSION(:) :: ztsub ! old surface temperature (before the iterative procedure ) 116 REAL(wp), POINTER, DIMENSION(:) :: ztsubit ! surface temperature at previous iteration 117 REAL(wp), POINTER, DIMENSION(:) :: zh_i ! ice layer thickness 118 REAL(wp), POINTER, DIMENSION(:) :: zh_s ! snow layer thickness 119 REAL(wp), POINTER, DIMENSION(:) :: zfsw ! solar radiation absorbed at the surface 120 REAL(wp), POINTER, DIMENSION(:) :: zf ! surface flux function 121 REAL(wp), POINTER, DIMENSION(:) :: dzf ! derivative of the surface flux function 122 REAL(wp), POINTER, DIMENSION(:) :: zerrit ! current error on temperature 123 REAL(wp), POINTER, DIMENSION(:) :: zdifcase ! case of the equation resolution (1->4) 124 REAL(wp), POINTER, DIMENSION(:) :: zftrice ! solar radiation transmitted through the ice 125 REAL(wp), POINTER, DIMENSION(:) :: zihic, zhsu 126 REAL(wp), POINTER, DIMENSION(:,:) :: ztcond_i ! Ice thermal conductivity 127 REAL(wp), POINTER, DIMENSION(:,:) :: zradtr_i ! Radiation transmitted through the ice 128 REAL(wp), POINTER, DIMENSION(:,:) :: zradab_i ! Radiation absorbed in the ice 129 REAL(wp), POINTER, DIMENSION(:,:) :: zkappa_i ! Kappa factor in the ice 130 REAL(wp), POINTER, DIMENSION(:,:) :: ztib ! Old temperature in the ice 131 REAL(wp), POINTER, DIMENSION(:,:) :: zeta_i ! Eta factor in the ice 132 REAL(wp), POINTER, DIMENSION(:,:) :: ztitemp ! Temporary temperature in the ice to check the convergence 133 REAL(wp), POINTER, DIMENSION(:,:) :: zspeche_i ! Ice specific heat 134 REAL(wp), POINTER, DIMENSION(:,:) :: z_i ! Vertical cotes of the layers in the ice 135 REAL(wp), POINTER, DIMENSION(:,:) :: zradtr_s ! Radiation transmited through the snow 136 REAL(wp), POINTER, DIMENSION(:,:) :: zradab_s ! Radiation absorbed in the snow 137 REAL(wp), POINTER, DIMENSION(:,:) :: zkappa_s ! Kappa factor in the snow 138 REAL(wp), POINTER, DIMENSION(:,:) :: zeta_s ! Eta factor in the snow 139 REAL(wp), POINTER, DIMENSION(:,:) :: ztstemp ! Temporary temperature in the snow to check the convergence 140 REAL(wp), POINTER, DIMENSION(:,:) :: ztsb ! Temporary temperature in the snow 141 REAL(wp), POINTER, DIMENSION(:,:) :: z_s ! Vertical cotes of the layers in the snow 142 REAL(wp), POINTER, DIMENSION(:,:) :: zswiterm ! Independent term 143 REAL(wp), POINTER, DIMENSION(:,:) :: zswitbis ! temporary independent term 144 REAL(wp), POINTER, DIMENSION(:,:) :: zdiagbis 145 REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrid ! tridiagonal system terms 113 REAL(wp) :: zhsu 114 115 REAL(wp), POINTER, DIMENSION(:) :: isnow ! switch for presence (1) or absence (0) of snow 116 REAL(wp), POINTER, DIMENSION(:) :: ztsub ! old surface temperature (before the iterative procedure ) 117 REAL(wp), POINTER, DIMENSION(:) :: ztsubit ! surface temperature at previous iteration 118 REAL(wp), POINTER, DIMENSION(:) :: zh_i ! ice layer thickness 119 REAL(wp), POINTER, DIMENSION(:) :: zh_s ! snow layer thickness 120 REAL(wp), POINTER, DIMENSION(:) :: zfsw ! solar radiation absorbed at the surface 121 REAL(wp), POINTER, DIMENSION(:) :: zqns_ice_b ! solar radiation absorbed at the surface 122 REAL(wp), POINTER, DIMENSION(:) :: zf ! surface flux function 123 REAL(wp), POINTER, DIMENSION(:) :: dzf ! derivative of the surface flux function 124 REAL(wp), POINTER, DIMENSION(:) :: zerrit ! current error on temperature 125 REAL(wp), POINTER, DIMENSION(:) :: zdifcase ! case of the equation resolution (1->4) 126 REAL(wp), POINTER, DIMENSION(:) :: zftrice ! solar radiation transmitted through the ice 127 REAL(wp), POINTER, DIMENSION(:) :: zihic 128 129 REAL(wp), POINTER, DIMENSION(:,:) :: ztcond_i ! Ice thermal conductivity 130 REAL(wp), POINTER, DIMENSION(:,:) :: zradtr_i ! Radiation transmitted through the ice 131 REAL(wp), POINTER, DIMENSION(:,:) :: zradab_i ! Radiation absorbed in the ice 132 REAL(wp), POINTER, DIMENSION(:,:) :: zkappa_i ! Kappa factor in the ice 133 REAL(wp), POINTER, DIMENSION(:,:) :: ztib ! Old temperature in the ice 134 REAL(wp), POINTER, DIMENSION(:,:) :: zeta_i ! Eta factor in the ice 135 REAL(wp), POINTER, DIMENSION(:,:) :: ztitemp ! Temporary temperature in the ice to check the convergence 136 REAL(wp), POINTER, DIMENSION(:,:) :: zspeche_i ! Ice specific heat 137 REAL(wp), POINTER, DIMENSION(:,:) :: z_i ! Vertical cotes of the layers in the ice 138 REAL(wp), POINTER, DIMENSION(:,:) :: zradtr_s ! Radiation transmited through the snow 139 REAL(wp), POINTER, DIMENSION(:,:) :: zradab_s ! Radiation absorbed in the snow 140 REAL(wp), POINTER, DIMENSION(:,:) :: zkappa_s ! Kappa factor in the snow 141 REAL(wp), POINTER, DIMENSION(:,:) :: zeta_s ! Eta factor in the snow 142 REAL(wp), POINTER, DIMENSION(:,:) :: ztstemp ! Temporary temperature in the snow to check the convergence 143 REAL(wp), POINTER, DIMENSION(:,:) :: ztsb ! Temporary temperature in the snow 144 REAL(wp), POINTER, DIMENSION(:,:) :: z_s ! Vertical cotes of the layers in the snow 145 REAL(wp), POINTER, DIMENSION(:,:) :: zindterm ! 'Ind'ependent term 146 REAL(wp), POINTER, DIMENSION(:,:) :: zindtbis ! Temporary 'ind'ependent term 147 REAL(wp), POINTER, DIMENSION(:,:) :: zdiagbis ! Temporary 'dia'gonal term 148 REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrid ! Tridiagonal system terms 149 146 150 ! diag errors on heat 147 REAL(wp), POINTER, DIMENSION(:) :: zdq, zq_ini, zhfx_err 151 REAL(wp), POINTER, DIMENSION(:) :: zdq, zq_ini, zhfx_err 152 153 ! Mono-category 154 REAL(wp) :: zepsilon ! determines thres. above which computation of G(h) is done 155 REAL(wp) :: zratio_s ! dummy factor 156 REAL(wp) :: zratio_i ! dummy factor 157 REAL(wp) :: zh_thres ! thickness thres. for G(h) computation 158 REAL(wp) :: zhe ! dummy factor 159 REAL(wp) :: zkimean ! mean sea ice thermal conductivity 160 REAL(wp) :: zfac ! dummy factor 161 REAL(wp) :: zihe ! dummy factor 162 REAL(wp) :: zheshth ! dummy factor 163 164 REAL(wp), POINTER, DIMENSION(:) :: zghe ! G(he), th. conduct enhancement factor, mono-cat 165 148 166 !!------------------------------------------------------------------ 149 167 ! 150 CALL wrk_alloc( jpij, numeqmin, numeqmax , isnow)151 CALL wrk_alloc( jpij, ztfs, ztsub, ztsubit, zh_i, zh_s, zfsw )152 CALL wrk_alloc( jpij, zf, dzf, z errit, zdifcase, zftrice, zihic, zhsu)153 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)154 CALL wrk_alloc( jpij, nlay_s+1, zradtr_s, zradab_s, zkappa_s, ztsb, zeta_s, ztstemp, z_s, kjstart=0)155 CALL wrk_alloc( jpij, nlay_i+3, zswiterm, zswitbis, zdiagbis )156 CALL wrk_alloc( jpij, nlay_i+3,3, ztrid )168 CALL wrk_alloc( jpij, numeqmin, numeqmax ) 169 CALL wrk_alloc( jpij, isnow, ztsub, ztsubit, zh_i, zh_s, zfsw ) 170 CALL wrk_alloc( jpij, zf, dzf, zqns_ice_b, zerrit, zdifcase, zftrice, zihic, zghe ) 171 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 ) 172 CALL wrk_alloc( jpij,nlay_s+1, zradtr_s, zradab_s, zkappa_s, ztsb, zeta_s, ztstemp, z_s, kjstart=0 ) 173 CALL wrk_alloc( jpij,nlay_i+3, zindterm, zindtbis, zdiagbis ) 174 CALL wrk_alloc( jpij,nlay_i+3,3, ztrid ) 157 175 158 176 CALL wrk_alloc( jpij, zdq, zq_ini, zhfx_err ) … … 161 179 zdq(:) = 0._wp ; zq_ini(:) = 0._wp 162 180 DO ji = kideb, kiut 163 zq_ini(ji) = ( SUM( q_i_1d(ji,1:nlay_i) ) * ht_i_1d(ji) / REAL( nlay_i )+ &164 & SUM( q_s_1d(ji,1:nlay_s) ) * ht_s_1d(ji) / REAL( nlay_s ))181 zq_ini(ji) = ( SUM( q_i_1d(ji,1:nlay_i) ) * ht_i_1d(ji) * r1_nlay_i + & 182 & SUM( q_s_1d(ji,1:nlay_s) ) * ht_s_1d(ji) * r1_nlay_s ) 165 183 END DO 166 184 … … 168 186 ! 1) Initialization ! 169 187 !------------------------------------------------------------------------------! 170 ! clem clean: replace just ztfs by rtt171 188 DO ji = kideb , kiut 172 ! is there snow or not 173 isnow(ji)= NINT( 1._wp - MAX( 0._wp , SIGN(1._wp, - ht_s_1d(ji) ) ) ) 174 ! surface temperature of fusion 175 ztfs(ji) = REAL( isnow(ji) ) * rtt + REAL( 1 - isnow(ji) ) * rtt 189 isnow(ji)= 1._wp - MAX( 0._wp , SIGN(1._wp, - ht_s_1d(ji) ) ) ! is there snow or not 176 190 ! layer thickness 177 zh_i(ji) = ht_i_1d(ji) / REAL( nlay_i )178 zh_s(ji) = ht_s_1d(ji) / REAL( nlay_s )191 zh_i(ji) = ht_i_1d(ji) * r1_nlay_i 192 zh_s(ji) = ht_s_1d(ji) * r1_nlay_s 179 193 END DO 180 194 … … 188 202 DO jk = 1, nlay_s ! vert. coord of the up. lim. of the layer-th snow layer 189 203 DO ji = kideb , kiut 190 z_s(ji,jk) = z_s(ji,jk-1) + ht_s_1d(ji) / REAL( nlay_s )204 z_s(ji,jk) = z_s(ji,jk-1) + ht_s_1d(ji) * r1_nlay_s 191 205 END DO 192 206 END DO … … 194 208 DO jk = 1, nlay_i ! vert. coord of the up. lim. of the layer-th ice layer 195 209 DO ji = kideb , kiut 196 z_i(ji,jk) = z_i(ji,jk-1) + ht_i_1d(ji) / REAL( nlay_i )210 z_i(ji,jk) = z_i(ji,jk-1) + ht_i_1d(ji) * r1_nlay_i 197 211 END DO 198 212 END DO 199 213 ! 200 214 !------------------------------------------------------------------------------| 201 ! 2) Radiation s|215 ! 2) Radiation | 202 216 !------------------------------------------------------------------------------| 203 217 ! … … 212 226 ! zftrice = io.qsr_ice is below the surface 213 227 ! ftr_ice = io.qsr_ice.exp(-k(h_i)) transmitted below the ice 214 228 ! fr1_i0_1d = i0 for a thin ice cover, fr1_i0_2d = i0 for a thick ice cover 229 zhsu = 0.1_wp ! threshold for the computation of i0 215 230 DO ji = kideb , kiut 216 231 ! switches 217 isnow(ji) = NINT( 1._wp - MAX( 0._wp , SIGN( 1._wp , - ht_s_1d(ji) ) ))232 isnow(ji) = 1._wp - MAX( 0._wp , SIGN( 1._wp , - ht_s_1d(ji) ) ) 218 233 ! hs > 0, isnow = 1 219 zhsu (ji) = hnzst ! threshold for the computation of i0 220 zihic(ji) = MAX( 0._wp , 1._wp - ( ht_i_1d(ji) / zhsu(ji) ) ) 221 222 i0(ji) = REAL( 1 - isnow(ji) ) * ( fr1_i0_1d(ji) + zihic(ji) * fr2_i0_1d(ji) ) 223 !fr1_i0_1d = i0 for a thin ice surface 224 !fr1_i0_2d = i0 for a thick ice surface 225 ! a function of the cloud cover 226 ! 227 !i0(ji) = (1.0-FLOAT(isnow(ji)))*3.0/(100*ht_s_1d(ji)+10.0) 228 !formula used in Cice 234 zihic(ji) = MAX( 0._wp , 1._wp - ( ht_i_1d(ji) / zhsu ) ) 235 236 i0(ji) = ( 1._wp - isnow(ji) ) * ( fr1_i0_1d(ji) + zihic(ji) * fr2_i0_1d(ji) ) 229 237 END DO 230 238 … … 234 242 !------------------------------------------------------- 235 243 DO ji = kideb , kiut 236 zfsw (ji) = qsr_ice_1d(ji) * ( 1 - i0(ji) ) ! Shortwave radiation absorbed at surface 237 zftrice(ji) = qsr_ice_1d(ji) * i0(ji) ! Solar radiation transmitted below the surface layer 238 dzf (ji) = dqns_ice_1d(ji) ! derivative of incoming nonsolar flux 244 zfsw (ji) = qsr_ice_1d(ji) * ( 1 - i0(ji) ) ! Shortwave radiation absorbed at surface 245 zftrice(ji) = qsr_ice_1d(ji) * i0(ji) ! Solar radiation transmitted below the surface layer 246 dzf (ji) = dqns_ice_1d(ji) ! derivative of incoming nonsolar flux 247 zqns_ice_b(ji) = qns_ice_1d(ji) ! store previous qns_ice_1d value 239 248 END DO 240 249 … … 257 266 258 267 DO ji = kideb, kiut ! ice initialization 259 zradtr_i(ji,0) = zradtr_s(ji,nlay_s) * REAL( isnow(ji) ) + zftrice(ji) * REAL( 1- isnow(ji) )268 zradtr_i(ji,0) = zradtr_s(ji,nlay_s) * isnow(ji) + zftrice(ji) * ( 1._wp - isnow(ji) ) 260 269 END DO 261 270 … … 263 272 DO ji = kideb, kiut 264 273 ! ! radiation transmitted below the layer-th ice layer 265 zradtr_i(ji,jk) = zradtr_i(ji,0) * EXP( - kappa_i * ( MAX ( 0._wp , z_i(ji,jk) ) ) )274 zradtr_i(ji,jk) = zradtr_i(ji,0) * EXP( - rn_kappa_i * ( MAX ( 0._wp , z_i(ji,jk) ) ) ) 266 275 ! ! radiation absorbed by the layer-th ice layer 267 276 zradab_i(ji,jk) = zradtr_i(ji,jk-1) - zradtr_i(ji,jk) … … 273 282 END DO 274 283 275 !276 284 !------------------------------------------------------------------------------| 277 285 ! 3) Iterative procedure begins | … … 281 289 ztsub (ji) = t_su_1d(ji) ! temperature at the beg of iter pr. 282 290 ztsubit(ji) = t_su_1d(ji) ! temperature at the previous iter 283 t_su_1d (ji) = MIN( t_su_1d(ji), ztfs(ji) - ztsu_err )! necessary284 zerrit (ji) = 1000._wp! initial value of error291 t_su_1d(ji) = MIN( t_su_1d(ji), rt0 - ztsu_err ) ! necessary 292 zerrit (ji) = 1000._wp ! initial value of error 285 293 END DO 286 294 … … 300 308 zerritmax = 1000._wp ! maximal value of error on all points 301 309 302 DO WHILE ( zerritmax > maxer_i_thd .AND. nconv < nconv_i_thd)310 DO WHILE ( zerritmax > rn_terr_dif .AND. nconv < nn_conv_dif ) 303 311 ! 304 312 nconv = nconv + 1 … … 308 316 !------------------------------------------------------------------------------| 309 317 ! 310 IF( thcon_i_swi== 0 ) THEN ! Untersteiner (1964) formula311 DO ji = kideb , kiut 312 ztcond_i(ji,0) = rcdic + zbeta*s_i_1d(ji,1) / MIN(-epsi10,t_i_1d(ji,1)-rtt)313 ztcond_i(ji,0) = MAX(ztcond_i(ji,0),zkimin)318 IF( nn_ice_thcon == 0 ) THEN ! Untersteiner (1964) formula 319 DO ji = kideb , kiut 320 ztcond_i(ji,0) = rcdic + zbeta * s_i_1d(ji,1) / MIN( -epsi10, t_i_1d(ji,1) - rt0 ) 321 ztcond_i(ji,0) = MAX( ztcond_i(ji,0), zkimin ) 314 322 END DO 315 323 DO jk = 1, nlay_i-1 316 324 DO ji = kideb , kiut 317 ztcond_i(ji,jk) = rcdic + zbeta *( s_i_1d(ji,jk) + s_i_1d(ji,jk+1) ) / &318 MIN(-2.0_wp * epsi10, t_i_1d(ji,jk) +t_i_1d(ji,jk+1) - 2.0_wp * rtt)319 ztcond_i(ji,jk) = MAX( ztcond_i(ji,jk),zkimin)325 ztcond_i(ji,jk) = rcdic + zbeta * ( s_i_1d(ji,jk) + s_i_1d(ji,jk+1) ) / & 326 MIN(-2.0_wp * epsi10, t_i_1d(ji,jk) + t_i_1d(ji,jk+1) - 2.0_wp * rt0) 327 ztcond_i(ji,jk) = MAX( ztcond_i(ji,jk), zkimin ) 320 328 END DO 321 329 END DO 322 330 ENDIF 323 331 324 IF( thcon_i_swi== 1 ) THEN ! Pringle et al formula included: 2.11 + 0.09 S/T - 0.011.T325 DO ji = kideb , kiut 326 ztcond_i(ji,0) = rcdic + 0.090_wp * s_i_1d(ji,1) / MIN( -epsi10, t_i_1d(ji,1) -rtt) &327 & - 0.011_wp * ( t_i_1d(ji,1) - rt t)332 IF( nn_ice_thcon == 1 ) THEN ! Pringle et al formula included: 2.11 + 0.09 S/T - 0.011.T 333 DO ji = kideb , kiut 334 ztcond_i(ji,0) = rcdic + 0.090_wp * s_i_1d(ji,1) / MIN( -epsi10, t_i_1d(ji,1) - rt0 ) & 335 & - 0.011_wp * ( t_i_1d(ji,1) - rt0 ) 328 336 ztcond_i(ji,0) = MAX( ztcond_i(ji,0), zkimin ) 329 337 END DO 330 338 DO jk = 1, nlay_i-1 331 339 DO ji = kideb , kiut 332 ztcond_i(ji,jk) = rcdic + &333 & 0.09 0_wp * ( s_i_1d(ji,jk) + s_i_1d(ji,jk+1) )&334 & / MIN( -2.0_wp * epsi10, t_i_1d(ji,jk)+t_i_1d(ji,jk+1) - 2.0_wp * rtt) &335 & - 0.0055_wp * ( t_i_1d(ji,jk) + t_i_1d(ji,jk+1) - 2.0*rtt)340 ztcond_i(ji,jk) = rcdic + & 341 & 0.09_wp * ( s_i_1d(ji,jk) + s_i_1d(ji,jk+1) ) & 342 & / MIN( -2._wp * epsi10, t_i_1d(ji,jk) + t_i_1d(ji,jk+1) - 2.0_wp * rt0 ) & 343 & - 0.0055_wp * ( t_i_1d(ji,jk) + t_i_1d(ji,jk+1) - 2.0 * rt0 ) 336 344 ztcond_i(ji,jk) = MAX( ztcond_i(ji,jk), zkimin ) 337 345 END DO 338 346 END DO 339 347 DO ji = kideb , kiut 340 ztcond_i(ji,nlay_i) = rcdic + 0.090_wp * s_i_1d(ji,nlay_i) / MIN( -epsi10,t_bo_1d(ji)-rtt) &341 & - 0.011_wp * ( t_bo_1d(ji) - rt t)348 ztcond_i(ji,nlay_i) = rcdic + 0.090_wp * s_i_1d(ji,nlay_i) / MIN( -epsi10, t_bo_1d(ji) - rt0 ) & 349 & - 0.011_wp * ( t_bo_1d(ji) - rt0 ) 342 350 ztcond_i(ji,nlay_i) = MAX( ztcond_i(ji,nlay_i), zkimin ) 343 351 END DO 344 352 ENDIF 345 ! 346 !------------------------------------------------------------------------------| 347 ! 5) kappa factors | 348 !------------------------------------------------------------------------------| 349 ! 353 354 ! 355 !------------------------------------------------------------------------------| 356 ! 5) G(he) - enhancement of thermal conductivity in mono-category case | 357 !------------------------------------------------------------------------------| 358 ! 359 ! Computation of effective thermal conductivity G(h) 360 ! Used in mono-category case only to simulate an ITD implicitly 361 ! Fichefet and Morales Maqueda, JGR 1997 362 363 zghe(:) = 1._wp 364 365 SELECT CASE ( nn_monocat ) 366 367 CASE (1,3) ! LIM3 368 369 zepsilon = 0.1_wp 370 zh_thres = EXP( 1._wp ) * zepsilon * 0.5_wp 371 372 DO ji = kideb, kiut 373 374 ! Mean sea ice thermal conductivity 375 zkimean = SUM( ztcond_i(ji,0:nlay_i) ) / REAL( nlay_i+1, wp ) 376 377 ! Effective thickness he (zhe) 378 zfac = 1._wp / ( rcdsn + zkimean ) 379 zratio_s = rcdsn * zfac 380 zratio_i = zkimean * zfac 381 zhe = zratio_s * ht_i_1d(ji) + zratio_i * ht_s_1d(ji) 382 383 ! G(he) 384 rswitch = MAX( 0._wp , SIGN( 1._wp , zhe - zh_thres ) ) ! =0 if zhe < zh_thres, if > 385 zghe(ji) = ( 1._wp - rswitch ) + rswitch * 0.5_wp * ( 1._wp + LOG( 2._wp * zhe / zepsilon ) ) 386 387 ! Impose G(he) < 2. 388 zghe(ji) = MIN( zghe(ji), 2._wp ) 389 390 END DO 391 392 END SELECT 393 394 ! 395 !------------------------------------------------------------------------------| 396 ! 6) kappa factors | 397 !------------------------------------------------------------------------------| 398 ! 399 !--- Snow 350 400 DO ji = kideb, kiut 351 352 !-- Snow kappa factors 353 zkappa_s(ji,0) = rcdsn / MAX(epsi10,zh_s(ji)) 354 zkappa_s(ji,nlay_s) = rcdsn / MAX(epsi10,zh_s(ji)) 401 zfac = 1. / MAX( epsi10 , zh_s(ji) ) 402 zkappa_s(ji,0) = zghe(ji) * rcdsn * zfac 403 zkappa_s(ji,nlay_s) = zghe(ji) * rcdsn * zfac 355 404 END DO 356 405 357 406 DO jk = 1, nlay_s-1 358 407 DO ji = kideb , kiut 359 zkappa_s(ji,jk) = 2.0 * rcdsn / &360 MAX(epsi10,2.0*zh_s(ji))361 362 END DO 363 408 zkappa_s(ji,jk) = zghe(ji) * 2.0 * rcdsn / MAX( epsi10, 2.0 * zh_s(ji) ) 409 END DO 410 END DO 411 412 !--- Ice 364 413 DO jk = 1, nlay_i-1 365 414 DO ji = kideb , kiut 366 !-- Ice kappa factors 367 zkappa_i(ji,jk) = 2.0*ztcond_i(ji,jk)/ & 368 MAX(epsi10,2.0*zh_i(ji)) 369 END DO 370 END DO 371 372 DO ji = kideb , kiut 373 zkappa_i(ji,0) = ztcond_i(ji,0)/MAX(epsi10,zh_i(ji)) 374 zkappa_i(ji,nlay_i) = ztcond_i(ji,nlay_i) / MAX(epsi10,zh_i(ji)) 375 !-- Interface 376 zkappa_s(ji,nlay_s) = 2.0*rcdsn*ztcond_i(ji,0)/MAX(epsi10, & 377 (ztcond_i(ji,0)*zh_s(ji) + rcdsn*zh_i(ji))) 378 zkappa_i(ji,0) = zkappa_s(ji,nlay_s)*REAL( isnow(ji) ) & 379 + zkappa_i(ji,0)*REAL( 1 - isnow(ji) ) 380 END DO 381 ! 382 !------------------------------------------------------------------------------| 383 ! 6) Sea ice specific heat, eta factors | 415 zkappa_i(ji,jk) = zghe(ji) * 2.0 * ztcond_i(ji,jk) / MAX( epsi10 , 2.0 * zh_i(ji) ) 416 END DO 417 END DO 418 419 !--- Snow-ice interface 420 DO ji = kideb , kiut 421 zfac = 1./ MAX( epsi10 , zh_i(ji) ) 422 zkappa_i(ji,0) = zghe(ji) * ztcond_i(ji,0) * zfac 423 zkappa_i(ji,nlay_i) = zghe(ji) * ztcond_i(ji,nlay_i) * zfac 424 zkappa_s(ji,nlay_s) = zghe(ji) * zghe(ji) * 2.0 * rcdsn * ztcond_i(ji,0) / & 425 & MAX( epsi10, ( zghe(ji) * ztcond_i(ji,0) * zh_s(ji) + zghe(ji) * rcdsn * zh_i(ji) ) ) 426 zkappa_i(ji,0) = zkappa_s(ji,nlay_s) * isnow(ji) + zkappa_i(ji,0) * ( 1._wp - isnow(ji) ) 427 END DO 428 429 ! 430 !------------------------------------------------------------------------------| 431 ! 7) Sea ice specific heat, eta factors | 384 432 !------------------------------------------------------------------------------| 385 433 ! … … 387 435 DO ji = kideb , kiut 388 436 ztitemp(ji,jk) = t_i_1d(ji,jk) 389 zspeche_i(ji,jk) = cpic + zgamma*s_i_1d(ji,jk)/ & 390 MAX((t_i_1d(ji,jk)-rtt)*(ztib(ji,jk)-rtt),epsi10) 391 zeta_i(ji,jk) = rdt_ice / MAX(rhoic*zspeche_i(ji,jk)*zh_i(ji), & 392 epsi10) 437 zspeche_i(ji,jk) = cpic + zgamma * s_i_1d(ji,jk) / MAX( ( t_i_1d(ji,jk) - rt0 ) * ( ztib(ji,jk) - rt0 ), epsi10 ) 438 zeta_i(ji,jk) = rdt_ice / MAX( rhoic * zspeche_i(ji,jk) * zh_i(ji), epsi10 ) 393 439 END DO 394 440 END DO … … 397 443 DO ji = kideb , kiut 398 444 ztstemp(ji,jk) = t_s_1d(ji,jk) 399 zeta_s(ji,jk) = rdt_ice / MAX(rhosn*cpic*zh_s(ji),epsi10) 400 END DO 401 END DO 402 ! 403 !------------------------------------------------------------------------------| 404 ! 7) surface flux computation | 405 !------------------------------------------------------------------------------| 406 ! 407 IF( .NOT. lk_cpl ) THEN !--- forced atmosphere case 445 zeta_s(ji,jk) = rdt_ice / MAX( rhosn * cpic * zh_s(ji), epsi10 ) 446 END DO 447 END DO 448 449 ! 450 !------------------------------------------------------------------------------| 451 ! 8) surface flux computation | 452 !------------------------------------------------------------------------------| 453 ! 454 IF ( ln_it_qnsice ) THEN 408 455 DO ji = kideb , kiut 409 456 ! update of the non solar flux according to the update in T_su … … 415 462 DO ji = kideb , kiut 416 463 ! update incoming flux 417 zf(ji) = zfsw(ji) & ! net absorbed solar radiation 418 + qns_ice_1d(ji) ! non solar total flux 419 ! (LWup, LWdw, SH, LH) 420 END DO 421 422 ! 423 !------------------------------------------------------------------------------| 424 ! 8) tridiagonal system terms | 464 zf(ji) = zfsw(ji) & ! net absorbed solar radiation 465 & + qns_ice_1d(ji) ! non solar total flux (LWup, LWdw, SH, LH) 466 END DO 467 468 ! 469 !------------------------------------------------------------------------------| 470 ! 9) tridiagonal system terms | 425 471 !------------------------------------------------------------------------------| 426 472 ! … … 437 483 ztrid(ji,numeq,2) = 0. 438 484 ztrid(ji,numeq,3) = 0. 439 z switerm(ji,numeq)= 0.440 z switbis(ji,numeq)= 0.485 zindterm(ji,numeq)= 0. 486 zindtbis(ji,numeq)= 0. 441 487 zdiagbis(ji,numeq)= 0. 442 488 ENDDO … … 445 491 DO numeq = nlay_s + 2, nlay_s + nlay_i 446 492 DO ji = kideb , kiut 447 jk = numeq - nlay_s - 1 448 ztrid(ji,numeq,1) = - zeta_i(ji,jk)*zkappa_i(ji,jk-1) 449 ztrid(ji,numeq,2) = 1.0 + zeta_i(ji,jk)*(zkappa_i(ji,jk-1) + & 450 zkappa_i(ji,jk)) 451 ztrid(ji,numeq,3) = - zeta_i(ji,jk)*zkappa_i(ji,jk) 452 zswiterm(ji,numeq) = ztib(ji,jk) + zeta_i(ji,jk)* & 453 zradab_i(ji,jk) 493 jk = numeq - nlay_s - 1 494 ztrid(ji,numeq,1) = - zeta_i(ji,jk) * zkappa_i(ji,jk-1) 495 ztrid(ji,numeq,2) = 1.0 + zeta_i(ji,jk) * ( zkappa_i(ji,jk-1) + zkappa_i(ji,jk) ) 496 ztrid(ji,numeq,3) = - zeta_i(ji,jk) * zkappa_i(ji,jk) 497 zindterm(ji,numeq) = ztib(ji,jk) + zeta_i(ji,jk) * zradab_i(ji,jk) 454 498 END DO 455 499 ENDDO … … 459 503 !!ice bottom term 460 504 ztrid(ji,numeq,1) = - zeta_i(ji,nlay_i)*zkappa_i(ji,nlay_i-1) 461 ztrid(ji,numeq,2) = 1.0 + zeta_i(ji,nlay_i)*( zkappa_i(ji,nlay_i)*zg1 & 462 + zkappa_i(ji,nlay_i-1) ) 505 ztrid(ji,numeq,2) = 1.0 + zeta_i(ji,nlay_i) * ( zkappa_i(ji,nlay_i) * zg1 + zkappa_i(ji,nlay_i-1) ) 463 506 ztrid(ji,numeq,3) = 0.0 464 zswiterm(ji,numeq) = ztib(ji,nlay_i) + zeta_i(ji,nlay_i)* & 465 ( zradab_i(ji,nlay_i) + zkappa_i(ji,nlay_i)*zg1 & 466 * t_bo_1d(ji) ) 507 zindterm(ji,numeq) = ztib(ji,nlay_i) + zeta_i(ji,nlay_i) * & 508 & ( zradab_i(ji,nlay_i) + zkappa_i(ji,nlay_i) * zg1 * t_bo_1d(ji) ) 467 509 ENDDO 468 510 469 511 470 512 DO ji = kideb , kiut 471 IF ( ht_s_1d(ji) .gt.0.0 ) THEN513 IF ( ht_s_1d(ji) > 0.0 ) THEN 472 514 ! 473 515 !------------------------------------------------------------------------------| … … 477 519 !!snow interior terms (bottom equation has the same form as the others) 478 520 DO numeq = 3, nlay_s + 1 479 jk = numeq - 1 480 ztrid(ji,numeq,1) = - zeta_s(ji,jk)*zkappa_s(ji,jk-1) 481 ztrid(ji,numeq,2) = 1.0 + zeta_s(ji,jk)*( zkappa_s(ji,jk-1) + & 482 zkappa_s(ji,jk) ) 521 jk = numeq - 1 522 ztrid(ji,numeq,1) = - zeta_s(ji,jk) * zkappa_s(ji,jk-1) 523 ztrid(ji,numeq,2) = 1.0 + zeta_s(ji,jk) * ( zkappa_s(ji,jk-1) + zkappa_s(ji,jk) ) 483 524 ztrid(ji,numeq,3) = - zeta_s(ji,jk)*zkappa_s(ji,jk) 484 zswiterm(ji,numeq) = ztsb(ji,jk) + zeta_s(ji,jk)* & 485 zradab_s(ji,jk) 525 zindterm(ji,numeq) = ztsb(ji,jk) + zeta_s(ji,jk) * zradab_s(ji,jk) 486 526 END DO 487 527 … … 489 529 IF ( nlay_i.eq.1 ) THEN 490 530 ztrid(ji,nlay_s+2,3) = 0.0 491 zswiterm(ji,nlay_s+2) = zswiterm(ji,nlay_s+2) + zkappa_i(ji,1)* & 492 t_bo_1d(ji) 531 zindterm(ji,nlay_s+2) = zindterm(ji,nlay_s+2) + zkappa_i(ji,1) * t_bo_1d(ji) 493 532 ENDIF 494 533 495 IF ( t_su_1d(ji) .LT. rtt) THEN534 IF ( t_su_1d(ji) < rt0 ) THEN 496 535 497 536 !------------------------------------------------------------------------------| … … 503 542 504 543 !!surface equation 505 ztrid(ji,1,1) = 0.0506 ztrid(ji,1,2) = dzf(ji) - zg1s*zkappa_s(ji,0)507 ztrid(ji,1,3) = zg1s*zkappa_s(ji,0)508 z switerm(ji,1) = dzf(ji)*t_su_1d(ji)- zf(ji)544 ztrid(ji,1,1) = 0.0 545 ztrid(ji,1,2) = dzf(ji) - zg1s * zkappa_s(ji,0) 546 ztrid(ji,1,3) = zg1s * zkappa_s(ji,0) 547 zindterm(ji,1) = dzf(ji) * t_su_1d(ji) - zf(ji) 509 548 510 549 !!first layer of snow equation 511 ztrid(ji,2,1) = - zkappa_s(ji,0) *zg1s*zeta_s(ji,1)512 ztrid(ji,2,2) = 1.0 + zeta_s(ji,1) *(zkappa_s(ji,1) + zkappa_s(ji,0)*zg1s)550 ztrid(ji,2,1) = - zkappa_s(ji,0) * zg1s * zeta_s(ji,1) 551 ztrid(ji,2,2) = 1.0 + zeta_s(ji,1) * ( zkappa_s(ji,1) + zkappa_s(ji,0) * zg1s ) 513 552 ztrid(ji,2,3) = - zeta_s(ji,1)* zkappa_s(ji,1) 514 z switerm(ji,2) = ztsb(ji,1) + zeta_s(ji,1)*zradab_s(ji,1)553 zindterm(ji,2) = ztsb(ji,1) + zeta_s(ji,1) * zradab_s(ji,1) 515 554 516 555 ELSE … … 526 565 !!first layer of snow equation 527 566 ztrid(ji,2,1) = 0.0 528 ztrid(ji,2,2) = 1.0 + zeta_s(ji,1) * ( zkappa_s(ji,1) + & 529 zkappa_s(ji,0) * zg1s ) 567 ztrid(ji,2,2) = 1.0 + zeta_s(ji,1) * ( zkappa_s(ji,1) + zkappa_s(ji,0) * zg1s ) 530 568 ztrid(ji,2,3) = - zeta_s(ji,1)*zkappa_s(ji,1) 531 zswiterm(ji,2) = ztsb(ji,1) + zeta_s(ji,1) * & 532 ( zradab_s(ji,1) + & 533 zkappa_s(ji,0) * zg1s * t_su_1d(ji) ) 569 zindterm(ji,2) = ztsb(ji,1) + zeta_s(ji,1) * & 570 & ( zradab_s(ji,1) + zkappa_s(ji,0) * zg1s * t_su_1d(ji) ) 534 571 ENDIF 535 572 ELSE … … 539 576 !------------------------------------------------------------------------------| 540 577 ! 541 IF ( t_su_1d(ji) .LT. rtt) THEN578 IF ( t_su_1d(ji) < rt0 ) THEN 542 579 ! 543 580 !------------------------------------------------------------------------------| … … 553 590 ztrid(ji,numeqmin(ji),2) = dzf(ji) - zkappa_i(ji,0)*zg1 554 591 ztrid(ji,numeqmin(ji),3) = zkappa_i(ji,0)*zg1 555 z switerm(ji,numeqmin(ji)) = dzf(ji)*t_su_1d(ji) - zf(ji)592 zindterm(ji,numeqmin(ji)) = dzf(ji)*t_su_1d(ji) - zf(ji) 556 593 557 594 !!first layer of ice equation 558 595 ztrid(ji,numeqmin(ji)+1,1) = - zkappa_i(ji,0) * zg1 * zeta_i(ji,1) 559 ztrid(ji,numeqmin(ji)+1,2) = 1.0 + zeta_i(ji,1) * ( zkappa_i(ji,1) & 560 + zkappa_i(ji,0) * zg1 ) 561 ztrid(ji,numeqmin(ji)+1,3) = - zeta_i(ji,1)*zkappa_i(ji,1) 562 zswiterm(ji,numeqmin(ji)+1)= ztib(ji,1) + zeta_i(ji,1)*zradab_i(ji,1) 596 ztrid(ji,numeqmin(ji)+1,2) = 1.0 + zeta_i(ji,1) * ( zkappa_i(ji,1) + zkappa_i(ji,0) * zg1 ) 597 ztrid(ji,numeqmin(ji)+1,3) = - zeta_i(ji,1) * zkappa_i(ji,1) 598 zindterm(ji,numeqmin(ji)+1)= ztib(ji,1) + zeta_i(ji,1) * zradab_i(ji,1) 563 599 564 600 !!case of only one layer in the ice (surface & ice equations are altered) 565 601 566 IF ( nlay_i.eq.1) THEN602 IF ( nlay_i == 1 ) THEN 567 603 ztrid(ji,numeqmin(ji),1) = 0.0 568 ztrid(ji,numeqmin(ji),2) = dzf(ji) - zkappa_i(ji,0)*2.0 569 ztrid(ji,numeqmin(ji),3) = zkappa_i(ji,0)*2.0 570 ztrid(ji,numeqmin(ji)+1,1) = -zkappa_i(ji,0)*2.0*zeta_i(ji,1) 571 ztrid(ji,numeqmin(ji)+1,2) = 1.0 + zeta_i(ji,1)*(zkappa_i(ji,0)*2.0 + & 572 zkappa_i(ji,1)) 604 ztrid(ji,numeqmin(ji),2) = dzf(ji) - zkappa_i(ji,0) * 2.0 605 ztrid(ji,numeqmin(ji),3) = zkappa_i(ji,0) * 2.0 606 ztrid(ji,numeqmin(ji)+1,1) = -zkappa_i(ji,0) * 2.0 * zeta_i(ji,1) 607 ztrid(ji,numeqmin(ji)+1,2) = 1.0 + zeta_i(ji,1) * ( zkappa_i(ji,0) * 2.0 + zkappa_i(ji,1) ) 573 608 ztrid(ji,numeqmin(ji)+1,3) = 0.0 574 609 575 z switerm(ji,numeqmin(ji)+1) = ztib(ji,1) + zeta_i(ji,1)*&576 ( zradab_i(ji,1) + zkappa_i(ji,1)*t_bo_1d(ji) )610 zindterm(ji,numeqmin(ji)+1) = ztib(ji,1) + zeta_i(ji,1) * & 611 & ( zradab_i(ji,1) + zkappa_i(ji,1) * t_bo_1d(ji) ) 577 612 ENDIF 578 613 … … 590 625 !!first layer of ice equation 591 626 ztrid(ji,numeqmin(ji),1) = 0.0 592 ztrid(ji,numeqmin(ji),2) = 1.0 + zeta_i(ji,1)*(zkappa_i(ji,1) + zkappa_i(ji,0)* & 593 zg1) 627 ztrid(ji,numeqmin(ji),2) = 1.0 + zeta_i(ji,1) * ( zkappa_i(ji,1) + zkappa_i(ji,0) * zg1 ) 594 628 ztrid(ji,numeqmin(ji),3) = - zeta_i(ji,1) * zkappa_i(ji,1) 595 z switerm(ji,numeqmin(ji)) = ztib(ji,1) + zeta_i(ji,1)*( zradab_i(ji,1) +&596 zkappa_i(ji,0) * zg1 * t_su_1d(ji) )629 zindterm(ji,numeqmin(ji)) = ztib(ji,1) + zeta_i(ji,1) * & 630 & ( zradab_i(ji,1) + zkappa_i(ji,0) * zg1 * t_su_1d(ji) ) 597 631 598 632 !!case of only one layer in the ice (surface & ice equations are altered) 599 IF ( nlay_i.eq.1) THEN633 IF ( nlay_i == 1 ) THEN 600 634 ztrid(ji,numeqmin(ji),1) = 0.0 601 ztrid(ji,numeqmin(ji),2) = 1.0 + zeta_i(ji,1)*(zkappa_i(ji,0)*2.0 + & 602 zkappa_i(ji,1)) 635 ztrid(ji,numeqmin(ji),2) = 1.0 + zeta_i(ji,1) * ( zkappa_i(ji,0) * 2.0 + zkappa_i(ji,1) ) 603 636 ztrid(ji,numeqmin(ji),3) = 0.0 604 zswiterm(ji,numeqmin(ji)) = ztib(ji,1) + zeta_i(ji,1)* & 605 (zradab_i(ji,1) + zkappa_i(ji,1)*t_bo_1d(ji)) & 606 + t_su_1d(ji)*zeta_i(ji,1)*zkappa_i(ji,0)*2.0 637 zindterm(ji,numeqmin(ji)) = ztib(ji,1) + zeta_i(ji,1) * ( zradab_i(ji,1) + zkappa_i(ji,1) * t_bo_1d(ji) ) & 638 & + t_su_1d(ji) * zeta_i(ji,1) * zkappa_i(ji,0) * 2.0 607 639 ENDIF 608 640 … … 614 646 ! 615 647 !------------------------------------------------------------------------------| 616 ! 9) tridiagonal system solving|648 ! 10) tridiagonal system solving | 617 649 !------------------------------------------------------------------------------| 618 650 ! … … 626 658 627 659 DO ji = kideb , kiut 628 z switbis(ji,numeqmin(ji)) = zswiterm(ji,numeqmin(ji))660 zindtbis(ji,numeqmin(ji)) = zindterm(ji,numeqmin(ji)) 629 661 zdiagbis(ji,numeqmin(ji)) = ztrid(ji,numeqmin(ji),2) 630 662 minnumeqmin = MIN(numeqmin(ji),minnumeqmin) … … 635 667 DO ji = kideb , kiut 636 668 numeq = min(max(numeqmin(ji)+1,jk),numeqmax(ji)) 637 zdiagbis(ji,numeq) = ztrid(ji,numeq,2) - ztrid(ji,numeq,1)* & 638 ztrid(ji,numeq-1,3)/zdiagbis(ji,numeq-1) 639 zswitbis(ji,numeq) = zswiterm(ji,numeq) - ztrid(ji,numeq,1)* & 640 zswitbis(ji,numeq-1)/zdiagbis(ji,numeq-1) 669 zdiagbis(ji,numeq) = ztrid(ji,numeq,2) - ztrid(ji,numeq,1) * ztrid(ji,numeq-1,3) / zdiagbis(ji,numeq-1) 670 zindtbis(ji,numeq) = zindterm(ji,numeq) - ztrid(ji,numeq,1) * zindtbis(ji,numeq-1) / zdiagbis(ji,numeq-1) 641 671 END DO 642 672 END DO … … 644 674 DO ji = kideb , kiut 645 675 ! ice temperatures 646 t_i_1d(ji,nlay_i) = z switbis(ji,numeqmax(ji))/zdiagbis(ji,numeqmax(ji))647 END DO 648 649 DO numeq = nlay_i + nlay_s + 1, nlay_s + 2, -1676 t_i_1d(ji,nlay_i) = zindtbis(ji,numeqmax(ji)) / zdiagbis(ji,numeqmax(ji)) 677 END DO 678 679 DO numeq = nlay_i + nlay_s, nlay_s + 2, -1 650 680 DO ji = kideb , kiut 651 681 jk = numeq - nlay_s - 1 652 t_i_1d(ji,jk) = (zswitbis(ji,numeq) - ztrid(ji,numeq,3)* & 653 t_i_1d(ji,jk+1))/zdiagbis(ji,numeq) 682 t_i_1d(ji,jk) = ( zindtbis(ji,numeq) - ztrid(ji,numeq,3) * t_i_1d(ji,jk+1) ) / zdiagbis(ji,numeq) 654 683 END DO 655 684 END DO … … 657 686 DO ji = kideb , kiut 658 687 ! snow temperatures 659 IF (ht_s_1d(ji).GT.0._wp) & 660 t_s_1d(ji,nlay_s) = (zswitbis(ji,nlay_s+1) - ztrid(ji,nlay_s+1,3) & 661 * t_i_1d(ji,1))/zdiagbis(ji,nlay_s+1) & 662 * MAX(0.0,SIGN(1.0,ht_s_1d(ji))) 688 IF (ht_s_1d(ji) > 0._wp) & 689 t_s_1d(ji,nlay_s) = ( zindtbis(ji,nlay_s+1) - ztrid(ji,nlay_s+1,3) * t_i_1d(ji,1) ) & 690 & / zdiagbis(ji,nlay_s+1) * MAX( 0.0, SIGN( 1.0, ht_s_1d(ji) ) ) 663 691 664 692 ! surface temperature 665 isnow(ji) = NINT( 1.0 - MAX( 0.0 , SIGN( 1.0 , -ht_s_1d(ji) ) ))693 isnow(ji) = 1._wp - MAX( 0._wp , SIGN( 1._wp , -ht_s_1d(ji) ) ) 666 694 ztsubit(ji) = t_su_1d(ji) 667 IF( t_su_1d(ji) < ztfs(ji)) &668 t_su_1d(ji) = ( z switbis(ji,numeqmin(ji)) - ztrid(ji,numeqmin(ji),3)* ( REAL( isnow(ji) )*t_s_1d(ji,1)&669 & + REAL( 1 - isnow(ji) )*t_i_1d(ji,1) ) ) / zdiagbis(ji,numeqmin(ji))695 IF( t_su_1d(ji) < rt0 ) & 696 t_su_1d(ji) = ( zindtbis(ji,numeqmin(ji)) - ztrid(ji,numeqmin(ji),3) * & 697 & ( isnow(ji) * t_s_1d(ji,1) + ( 1._wp - isnow(ji) ) * t_i_1d(ji,1) ) ) / zdiagbis(ji,numeqmin(ji)) 670 698 END DO 671 699 ! 672 700 !-------------------------------------------------------------------------- 673 ! 1 0) Has the scheme converged ?, end of the iterative procedure |701 ! 11) Has the scheme converged ?, end of the iterative procedure | 674 702 !-------------------------------------------------------------------------- 675 703 ! 676 704 ! check that nowhere it has started to melt 677 ! zerrit(ji) is a measure of error, it has to be under maxer_i_thd678 DO ji = kideb , kiut 679 t_su_1d(ji) = MAX( MIN( t_su_1d(ji) , ztfs(ji)) , 190._wp )680 zerrit(ji) = ABS( t_su_1d(ji) - ztsubit(ji) )705 ! zerrit(ji) is a measure of error, it has to be under terr_dif 706 DO ji = kideb , kiut 707 t_su_1d(ji) = MAX( MIN( t_su_1d(ji) , rt0 ) , 190._wp ) 708 zerrit(ji) = ABS( t_su_1d(ji) - ztsubit(ji) ) 681 709 END DO 682 710 683 711 DO jk = 1, nlay_s 684 712 DO ji = kideb , kiut 685 t_s_1d(ji,jk) = MAX( MIN( t_s_1d(ji,jk), rt t), 190._wp )686 zerrit(ji) = MAX(zerrit(ji),ABS(t_s_1d(ji,jk) - ztstemp(ji,jk)))713 t_s_1d(ji,jk) = MAX( MIN( t_s_1d(ji,jk), rt0 ), 190._wp ) 714 zerrit(ji) = MAX( zerrit(ji), ABS( t_s_1d(ji,jk) - ztstemp(ji,jk) ) ) 687 715 END DO 688 716 END DO … … 690 718 DO jk = 1, nlay_i 691 719 DO ji = kideb , kiut 692 ztmelt_i = -tmut * s_i_1d(ji,jk) + rtt693 t_i_1d(ji,jk) = MAX( MIN(t_i_1d(ji,jk),ztmelt_i), 190._wp)694 zerrit(ji) = MAX(zerrit(ji),ABS(t_i_1d(ji,jk) - ztitemp(ji,jk)))720 ztmelt_i = -tmut * s_i_1d(ji,jk) + rt0 721 t_i_1d(ji,jk) = MAX( MIN( t_i_1d(ji,jk), ztmelt_i ), 190._wp ) 722 zerrit(ji) = MAX( zerrit(ji), ABS( t_i_1d(ji,jk) - ztitemp(ji,jk) ) ) 695 723 END DO 696 724 END DO … … 706 734 END DO ! End of the do while iterative procedure 707 735 708 IF( ln_ nicep.AND. lwp ) THEN736 IF( ln_icectl .AND. lwp ) THEN 709 737 WRITE(numout,*) ' zerritmax : ', zerritmax 710 738 WRITE(numout,*) ' nconv : ', nconv … … 713 741 ! 714 742 !-------------------------------------------------------------------------! 715 ! 1 1) Fluxes at the interfaces !743 ! 12) Fluxes at the interfaces ! 716 744 !-------------------------------------------------------------------------! 717 745 DO ji = kideb, kiut 718 ! forced mode only : update of latent heat fluxes (sublimation) (always >=0, upward flux)719 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) ) )720 746 ! ! surface ice conduction flux 721 isnow(ji) = NINT( 1._wp - MAX( 0._wp, SIGN( 1._wp, -ht_s_1d(ji) ) ))722 fc_su(ji) = - REAL( isnow(ji) )* zkappa_s(ji,0) * zg1s * (t_s_1d(ji,1) - t_su_1d(ji)) &723 & - REAL( 1- isnow(ji) ) * zkappa_i(ji,0) * zg1 * (t_i_1d(ji,1) - t_su_1d(ji))747 isnow(ji) = 1._wp - MAX( 0._wp, SIGN( 1._wp, -ht_s_1d(ji) ) ) 748 fc_su(ji) = - isnow(ji) * zkappa_s(ji,0) * zg1s * (t_s_1d(ji,1) - t_su_1d(ji)) & 749 & - ( 1._wp - isnow(ji) ) * zkappa_i(ji,0) * zg1 * (t_i_1d(ji,1) - t_su_1d(ji)) 724 750 ! ! bottom ice conduction flux 725 751 fc_bo_i(ji) = - zkappa_i(ji,nlay_i) * ( zg1*(t_bo_1d(ji) - t_i_1d(ji,nlay_i)) ) 726 752 END DO 753 754 ! --- computes sea ice energy of melting compulsory for limthd_dh --- ! 755 CALL lim_thd_enmelt( kideb, kiut ) 756 757 ! --- diagnose the change in non-solar flux due to surface temperature change --- ! 758 IF ( ln_it_qnsice ) THEN 759 DO ji = kideb, kiut 760 hfx_err_dif_1d(ji) = hfx_err_dif_1d(ji) - ( qns_ice_1d(ji) - zqns_ice_b(ji) ) * a_i_1d(ji) 761 END DO 762 END IF 763 764 ! --- diag conservation imbalance on heat diffusion - PART 2 --- ! 765 DO ji = kideb, kiut 766 zdq(ji) = - zq_ini(ji) + ( SUM( q_i_1d(ji,1:nlay_i) ) * ht_i_1d(ji) * r1_nlay_i + & 767 & SUM( q_s_1d(ji,1:nlay_s) ) * ht_s_1d(ji) * r1_nlay_s ) 768 IF( t_su_1d(ji) < rt0 ) THEN ! case T_su < 0degC 769 zhfx_err(ji) = qns_ice_1d(ji) + qsr_ice_1d(ji) - zradtr_i(ji,nlay_i) - fc_bo_i(ji) + zdq(ji) * r1_rdtice 770 ELSE ! case T_su = 0degC 771 zhfx_err(ji) = fc_su(ji) + i0(ji) * qsr_ice_1d(ji) - zradtr_i(ji,nlay_i) - fc_bo_i(ji) + zdq(ji) * r1_rdtice 772 ENDIF 773 hfx_err_1d(ji) = hfx_err_1d(ji) + zhfx_err(ji) * a_i_1d(ji) 774 775 ! total heat that is sent to the ocean (i.e. not used in the heat diffusion equation) 776 hfx_err_dif_1d(ji) = hfx_err_dif_1d(ji) + zhfx_err(ji) * a_i_1d(ji) 777 END DO 727 778 728 779 !----------------------------------------- … … 730 781 !----------------------------------------- 731 782 DO ji = kideb, kiut 732 IF( t_su_1d(ji) < rt t) THEN ! case T_su < 0degC783 IF( t_su_1d(ji) < rt0 ) THEN ! case T_su < 0degC 733 784 hfx_dif_1d(ji) = hfx_dif_1d(ji) + & 734 785 & ( qns_ice_1d(ji) + qsr_ice_1d(ji) - zradtr_i(ji,nlay_i) - fc_bo_i(ji) ) * a_i_1d(ji) 735 ELSE ! case T_su = 0degC786 ELSE ! case T_su = 0degC 736 787 hfx_dif_1d(ji) = hfx_dif_1d(ji) + & 737 788 & ( fc_su(ji) + i0(ji) * qsr_ice_1d(ji) - zradtr_i(ji,nlay_i) - fc_bo_i(ji) ) * a_i_1d(ji) 738 789 ENDIF 739 END DO 740 741 ! --- computes sea ice energy of melting compulsory for limthd_dh --- ! 742 CALL lim_thd_enmelt( kideb, kiut ) 743 744 ! --- diag conservation imbalance on heat diffusion - PART 2 --- ! 745 DO ji = kideb, kiut 746 zdq(ji) = - zq_ini(ji) + ( SUM( q_i_1d(ji,1:nlay_i) ) * ht_i_1d(ji) / REAL( nlay_i ) + & 747 & SUM( q_s_1d(ji,1:nlay_s) ) * ht_s_1d(ji) / REAL( nlay_s ) ) 748 zhfx_err(ji) = ( fc_su(ji) + i0(ji) * qsr_ice_1d(ji) - zradtr_i(ji,nlay_i) - fc_bo_i(ji) + zdq(ji) * r1_rdtice ) 749 hfx_err_1d(ji) = hfx_err_1d(ji) + zhfx_err(ji) * a_i_1d(ji) 750 END DO 751 752 ! diagnose external surface (forced case) or bottom (forced case) from heat conservation 753 IF( .NOT. lk_cpl ) THEN ! --- forced case: qns_ice and fc_su are diagnosed 754 ! 755 DO ji = kideb, kiut 756 qns_ice_1d(ji) = qns_ice_1d(ji) - zhfx_err(ji) 757 fc_su (ji) = fc_su(ji) - zhfx_err(ji) 758 END DO 759 ! 760 ELSE ! --- coupled case: ocean turbulent heat flux is diagnosed 761 ! 762 DO ji = kideb, kiut 763 fhtur_1d (ji) = fhtur_1d(ji) - zhfx_err(ji) 764 END DO 765 ! 766 ENDIF 767 768 ! --- compute diagnostic net heat flux at the surface of the snow-ice system (W.m2) 769 DO ji = kideb, kiut 770 ii = MOD( npb(ji) - 1, jpi ) + 1 ; ij = ( npb(ji) - 1 ) / jpi + 1 771 hfx_in (ii,ij) = hfx_in (ii,ij) + a_i_1d(ji) * ( qsr_ice_1d(ji) + qns_ice_1d(ji) ) 772 END DO 773 790 ! correction on the diagnosed heat flux due to non-convergence of the algorithm used to solve heat equation 791 hfx_dif_1d(ji) = hfx_dif_1d(ji) - zhfx_err(ji) * a_i_1d(ji) 792 END DO 774 793 ! 775 CALL wrk_dealloc( jpij, numeqmin, numeqmax, isnow ) 776 CALL wrk_dealloc( jpij, ztfs, ztsub, ztsubit, zh_i, zh_s, zfsw ) 777 CALL wrk_dealloc( jpij, zf, dzf, zerrit, zdifcase, zftrice, zihic, zhsu ) 778 CALL wrk_dealloc( jpij, nlay_i+1, ztcond_i, zradtr_i, zradab_i, zkappa_i, & 779 & ztib, zeta_i, ztitemp, z_i, zspeche_i, kjstart = 0 ) 780 CALL wrk_dealloc( jpij, nlay_s+1, zradtr_s, zradab_s, zkappa_s, ztsb, zeta_s, ztstemp, z_s, kjstart = 0 ) 781 CALL wrk_dealloc( jpij, nlay_i+3, zswiterm, zswitbis, zdiagbis ) 782 CALL wrk_dealloc( jpij, nlay_i+3, 3, ztrid ) 794 CALL wrk_dealloc( jpij, numeqmin, numeqmax ) 795 CALL wrk_dealloc( jpij, isnow, ztsub, ztsubit, zh_i, zh_s, zfsw ) 796 CALL wrk_dealloc( jpij, zf, dzf, zqns_ice_b, zerrit, zdifcase, zftrice, zihic, zghe ) 797 CALL wrk_dealloc( jpij,nlay_i+1, ztcond_i, zradtr_i, zradab_i, zkappa_i, ztib, zeta_i, ztitemp, z_i, zspeche_i, kjstart = 0 ) 798 CALL wrk_dealloc( jpij,nlay_s+1, zradtr_s, zradab_s, zkappa_s, ztsb, zeta_s, ztstemp, z_s, kjstart = 0 ) 799 CALL wrk_dealloc( jpij,nlay_i+3, zindterm, zindtbis, zdiagbis ) 800 CALL wrk_dealloc( jpij,nlay_i+3,3, ztrid ) 783 801 CALL wrk_dealloc( jpij, zdq, zq_ini, zhfx_err ) 784 802 … … 801 819 DO jk = 1, nlay_i ! Sea ice energy of melting 802 820 DO ji = kideb, kiut 803 ztmelts = - tmut * s_i_1d(ji,jk) + rtt 804 rswitch = MAX( 0._wp , SIGN( 1._wp , -(t_i_1d(ji,jk) - rtt) - epsi10 ) ) 805 q_i_1d(ji,jk) = rhoic * ( cpic * ( ztmelts - t_i_1d(ji,jk) ) & 806 & + lfus * ( 1.0 - rswitch * ( ztmelts-rtt ) / MIN( t_i_1d(ji,jk)-rtt, -epsi10 ) ) & 807 & - rcp * ( ztmelts-rtt ) ) 821 ztmelts = - tmut * s_i_1d(ji,jk) + rt0 822 t_i_1d(ji,jk) = MIN( t_i_1d(ji,jk), ztmelts ) ! Force t_i_1d to be lower than melting point 823 ! (sometimes dif scheme produces abnormally high temperatures) 824 q_i_1d(ji,jk) = rhoic * ( cpic * ( ztmelts - t_i_1d(ji,jk) ) & 825 & + lfus * ( 1.0 - ( ztmelts-rt0 ) / ( t_i_1d(ji,jk) - rt0 ) ) & 826 & - rcp * ( ztmelts-rt0 ) ) 808 827 END DO 809 828 END DO 810 829 DO jk = 1, nlay_s ! Snow energy of melting 811 830 DO ji = kideb, kiut 812 q_s_1d(ji,jk) = rhosn * ( cpic * ( rt t- t_s_1d(ji,jk) ) + lfus )831 q_s_1d(ji,jk) = rhosn * ( cpic * ( rt0 - t_s_1d(ji,jk) ) + lfus ) 813 832 END DO 814 833 END DO
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