Changeset 4921 for branches/2014/dev_r4650_UKMO13_CICE_changes_take2/NEMOGCM/NEMO/LIM_SRC_3/limthd_dif.F90
- Timestamp:
- 2014-11-28T14:59:01+01:00 (9 years ago)
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- 1 edited
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branches/2014/dev_r4650_UKMO13_CICE_changes_take2/NEMOGCM/NEMO/LIM_SRC_3/limthd_dif.F90
r4333 r4921 25 25 USE wrk_nemo ! work arrays 26 26 USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) 27 USE cpl_oasis3, ONLY : lk_cpl 27 28 28 29 IMPLICIT NONE … … 31 32 PUBLIC lim_thd_dif ! called by lim_thd 32 33 33 REAL(wp) :: epsi10 =1.e-10_wp !34 REAL(wp) :: epsi10 = 1.e-10_wp ! 34 35 !!---------------------------------------------------------------------- 35 36 !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) … … 39 40 CONTAINS 40 41 41 SUBROUTINE lim_thd_dif( kideb , kiut , jl)42 SUBROUTINE lim_thd_dif( kideb , kiut ) 42 43 !!------------------------------------------------------------------ 43 44 !! *** ROUTINE lim_thd_dif *** … … 74 75 !! 75 76 !! ** Inputs / Ouputs : (global commons) 76 !! surface temperature : t_su_ b77 !! ice/snow temperatures : t_i_ b, t_s_b78 !! 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 79 80 !! number of layers in the ice/snow: nlay_i, nlay_s 80 81 !! profile of the ice/snow layers : z_i, z_s 81 !! total ice/snow thickness : ht_i_ b, ht_s_b82 !! total ice/snow thickness : ht_i_1d, ht_s_1d 82 83 !! 83 84 !! ** External : … … 91 92 !! (04-2007) Energy conservation tested by M. Vancoppenolle 92 93 !!------------------------------------------------------------------ 93 INTEGER , INTENT (in) :: kideb ! Start point on which the the computation is applied 94 INTEGER , INTENT (in) :: kiut ! End point on which the the computation is applied 95 INTEGER , INTENT (in) :: jl ! Category number 94 INTEGER , INTENT(in) :: kideb, kiut ! Start/End point on which the the computation is applied 96 95 97 96 !! * Local variables … … 99 98 INTEGER :: ii, ij ! temporary dummy loop index 100 99 INTEGER :: numeq ! current reference number of equation 101 INTEGER :: layer! vertical dummy loop index100 INTEGER :: jk ! vertical dummy loop index 102 101 INTEGER :: nconv ! number of iterations in iterative procedure 103 102 INTEGER :: minnumeqmin, maxnumeqmax 104 INTEGER, DIMENSION(kiut) :: numeqmin ! reference number of top equation105 INTEGER, DIMENSION(kiut) :: numeqmax ! reference number of bottom equation106 INTEGER, DIMENSION(kiut) :: isnow ! switch for presence (1) or absence (0) of snow103 INTEGER, POINTER, DIMENSION(:) :: numeqmin ! reference number of top equation 104 INTEGER, POINTER, DIMENSION(:) :: numeqmax ! reference number of bottom equation 105 INTEGER, POINTER, DIMENSION(:) :: isnow ! switch for presence (1) or absence (0) of snow 107 106 REAL(wp) :: zg1s = 2._wp ! for the tridiagonal system 108 107 REAL(wp) :: zg1 = 2._wp ! … … 111 110 REAL(wp) :: zraext_s = 1.e+8_wp ! extinction coefficient of radiation in the snow 112 111 REAL(wp) :: zkimin = 0.10_wp ! minimum ice thermal conductivity 112 REAL(wp) :: ztsu_err = 1.e-5_wp ! range around which t_su is considered as 0°C 113 113 REAL(wp) :: ztmelt_i ! ice melting temperature 114 114 REAL(wp) :: zerritmax ! current maximal error on temperature 115 REAL(wp), DIMENSION(kiut) :: ztfs ! ice melting point 116 REAL(wp), DIMENSION(kiut) :: ztsuold ! old surface temperature (before the iterative procedure ) 117 REAL(wp), DIMENSION(kiut) :: ztsuoldit ! surface temperature at previous iteration 118 REAL(wp), DIMENSION(kiut) :: zh_i ! ice layer thickness 119 REAL(wp), DIMENSION(kiut) :: zh_s ! snow layer thickness 120 REAL(wp), DIMENSION(kiut) :: zfsw ! solar radiation absorbed at the surface 121 REAL(wp), DIMENSION(kiut) :: zf ! surface flux function 122 REAL(wp), DIMENSION(kiut) :: dzf ! derivative of the surface flux function 123 REAL(wp), DIMENSION(kiut) :: zerrit ! current error on temperature 124 REAL(wp), DIMENSION(kiut) :: zdifcase ! case of the equation resolution (1->4) 125 REAL(wp), DIMENSION(kiut) :: zftrice ! solar radiation transmitted through the ice 126 REAL(wp), DIMENSION(kiut) :: zihic, zhsu 127 REAL(wp), DIMENSION(kiut,0:nlay_i) :: ztcond_i ! Ice thermal conductivity 128 REAL(wp), DIMENSION(kiut,0:nlay_i) :: zradtr_i ! Radiation transmitted through the ice 129 REAL(wp), DIMENSION(kiut,0:nlay_i) :: zradab_i ! Radiation absorbed in the ice 130 REAL(wp), DIMENSION(kiut,0:nlay_i) :: zkappa_i ! Kappa factor in the ice 131 REAL(wp), DIMENSION(kiut,0:nlay_i) :: ztiold ! Old temperature in the ice 132 REAL(wp), DIMENSION(kiut,0:nlay_i) :: zeta_i ! Eta factor in the ice 133 REAL(wp), DIMENSION(kiut,0:nlay_i) :: ztitemp ! Temporary temperature in the ice to check the convergence 134 REAL(wp), DIMENSION(kiut,0:nlay_i) :: zspeche_i ! Ice specific heat 135 REAL(wp), DIMENSION(kiut,0:nlay_i) :: z_i ! Vertical cotes of the layers in the ice 136 REAL(wp), DIMENSION(kiut,0:nlay_s) :: zradtr_s ! Radiation transmited through the snow 137 REAL(wp), DIMENSION(kiut,0:nlay_s) :: zradab_s ! Radiation absorbed in the snow 138 REAL(wp), DIMENSION(kiut,0:nlay_s) :: zkappa_s ! Kappa factor in the snow 139 REAL(wp), DIMENSION(kiut,0:nlay_s) :: zeta_s ! Eta factor in the snow 140 REAL(wp), DIMENSION(kiut,0:nlay_s) :: ztstemp ! Temporary temperature in the snow to check the convergence 141 REAL(wp), DIMENSION(kiut,0:nlay_s) :: ztsold ! Temporary temperature in the snow 142 REAL(wp), DIMENSION(kiut,0:nlay_s) :: z_s ! Vertical cotes of the layers in the snow 143 REAL(wp), DIMENSION(kiut,jkmax+2) :: zindterm ! Independent term 144 REAL(wp), DIMENSION(kiut,jkmax+2) :: zindtbis ! temporary independent term 145 REAL(wp), DIMENSION(kiut,jkmax+2) :: zdiagbis 146 REAL(wp), DIMENSION(kiut,jkmax+2,3) :: ztrid ! tridiagonal system terms 115 REAL(wp), POINTER, DIMENSION(:) :: ztfs ! ice melting point 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(:) :: zf ! surface flux function 122 REAL(wp), POINTER, DIMENSION(:) :: dzf ! derivative of the surface flux function 123 REAL(wp), POINTER, DIMENSION(:) :: zerrit ! current error on temperature 124 REAL(wp), POINTER, DIMENSION(:) :: zdifcase ! case of the equation resolution (1->4) 125 REAL(wp), POINTER, DIMENSION(:) :: zftrice ! solar radiation transmitted through the ice 126 REAL(wp), POINTER, DIMENSION(:) :: zihic, zhsu 127 REAL(wp), POINTER, DIMENSION(:,:) :: ztcond_i ! Ice thermal conductivity 128 REAL(wp), POINTER, DIMENSION(:,:) :: zradtr_i ! Radiation transmitted through the ice 129 REAL(wp), POINTER, DIMENSION(:,:) :: zradab_i ! Radiation absorbed in the ice 130 REAL(wp), POINTER, DIMENSION(:,:) :: zkappa_i ! Kappa factor in the ice 131 REAL(wp), POINTER, DIMENSION(:,:) :: ztib ! Old temperature in the ice 132 REAL(wp), POINTER, DIMENSION(:,:) :: zeta_i ! Eta factor in the ice 133 REAL(wp), POINTER, DIMENSION(:,:) :: ztitemp ! Temporary temperature in the ice to check the convergence 134 REAL(wp), POINTER, DIMENSION(:,:) :: zspeche_i ! Ice specific heat 135 REAL(wp), POINTER, DIMENSION(:,:) :: z_i ! Vertical cotes of the layers in the ice 136 REAL(wp), POINTER, DIMENSION(:,:) :: zradtr_s ! Radiation transmited through the snow 137 REAL(wp), POINTER, DIMENSION(:,:) :: zradab_s ! Radiation absorbed in the snow 138 REAL(wp), POINTER, DIMENSION(:,:) :: zkappa_s ! Kappa factor in the snow 139 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 REAL(wp), POINTER, DIMENSION(:,:) :: zdiagbis 146 REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrid ! tridiagonal system terms 147 ! diag errors on heat 148 REAL(wp), POINTER, DIMENSION(:) :: zdq, zq_ini 149 REAL(wp) :: zhfx_err 147 150 !!------------------------------------------------------------------ 148 151 ! 152 CALL wrk_alloc( jpij, numeqmin, numeqmax, isnow ) 153 CALL wrk_alloc( jpij, ztfs, ztsub, ztsubit, zh_i, zh_s, zfsw ) 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, 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 ) 159 160 CALL wrk_alloc( jpij, zdq, zq_ini ) 161 162 ! --- diag error on heat diffusion - PART 1 --- ! 163 zdq(:) = 0._wp ; zq_ini(:) = 0._wp 164 DO ji = kideb, kiut 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 END DO 168 149 169 !------------------------------------------------------------------------------! 150 170 ! 1) Initialization ! 151 171 !------------------------------------------------------------------------------! 152 ! 172 ! clem clean: replace just ztfs by rtt 153 173 DO ji = kideb , kiut 154 174 ! is there snow or not 155 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) ) ) ) 156 176 ! surface temperature of fusion 157 !!gm ??? ztfs(ji) = rtt !!!????158 177 ztfs(ji) = REAL( isnow(ji) ) * rtt + REAL( 1 - isnow(ji) ) * rtt 159 178 ! layer thickness 160 zh_i(ji) = ht_i_ b(ji) / REAL( nlay_i )161 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 ) 162 181 END DO 163 182 … … 169 188 z_i(:,0) = 0._wp ! vert. coord. of the up. lim. of the 1st ice layer 170 189 171 DO layer= 1, nlay_s ! vert. coord of the up. lim. of the layer-th snow layer172 DO ji = kideb , kiut 173 z_s(ji, layer) = z_s(ji,layer-1) + ht_s_b(ji) / REAL( nlay_s )174 END DO 175 END DO 176 177 DO layer= 1, nlay_i ! vert. coord of the up. lim. of the layer-th ice layer178 DO ji = kideb , kiut 179 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 ) 180 199 END DO 181 200 END DO … … 194 213 ! zfsw = (1-i0).qsr_ice is absorbed at the surface 195 214 ! zftrice = io.qsr_ice is below the surface 196 ! f stbif= io.qsr_ice.exp(-k(h_i)) transmitted below the ice215 ! ftr_ice = io.qsr_ice.exp(-k(h_i)) transmitted below the ice 197 216 198 217 DO ji = kideb , kiut 199 218 ! switches 200 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) ) ) ) 201 220 ! hs > 0, isnow = 1 202 221 zhsu (ji) = hnzst ! threshold for the computation of i0 203 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) ) ) 204 223 205 224 i0(ji) = REAL( 1 - isnow(ji) ) * ( fr1_i0_1d(ji) + zihic(ji) * fr2_i0_1d(ji) ) … … 208 227 ! a function of the cloud cover 209 228 ! 210 !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) 211 230 !formula used in Cice 212 231 END DO … … 230 249 END DO 231 250 232 DO layer= 1, nlay_s ! Radiation through snow251 DO jk = 1, nlay_s ! Radiation through snow 233 252 DO ji = kideb, kiut 234 253 ! ! radiation transmitted below the layer-th snow layer 235 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) ) ) ) 236 255 ! ! radiation absorbed by the layer-th snow layer 237 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) 238 257 END DO 239 258 END DO … … 243 262 END DO 244 263 245 DO layer= 1, nlay_i ! Radiation through ice264 DO jk = 1, nlay_i ! Radiation through ice 246 265 DO ji = kideb, kiut 247 266 ! ! radiation transmitted below the layer-th ice layer 248 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) ) ) ) 249 268 ! ! radiation absorbed by the layer-th ice layer 250 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) 251 270 END DO 252 271 END DO 253 272 254 273 DO ji = kideb, kiut ! Radiation transmitted below the ice 255 fstbif_1d(ji) = fstbif_1d(ji) + iatte_1d(ji) * zradtr_i(ji,nlay_i) * a_i_b(ji) / at_i_b(ji) ! clem modif 256 END DO 257 258 ! +++++ 259 ! just to check energy conservation 260 DO ji = kideb, kiut 261 ii = MOD( npb(ji) - 1 , jpi ) + 1 262 ij = ( npb(ji) - 1 ) / jpi + 1 263 fstroc(ii,ij,jl) = iatte_1d(ji) * zradtr_i(ji,nlay_i) ! clem modif 264 END DO 265 ! +++++ 266 267 DO layer = 1, nlay_i 268 DO ji = kideb, kiut 269 radab(ji,layer) = zradab_i(ji,layer) 270 END DO 274 !!!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 ftr_ice_1d(ji) = zradtr_i(ji,nlay_i) 271 276 END DO 272 277 … … 277 282 ! 278 283 DO ji = kideb, kiut ! Old surface temperature 279 ztsu old (ji) = t_su_b(ji) ! temperature at the beg of iter pr.280 ztsu oldit(ji) = t_su_b(ji) ! temperature at the previous iter281 t_su_ b (ji) = MIN( t_su_b(ji), ztfs(ji)-0.00001 )! 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 282 287 zerrit (ji) = 1000._wp ! initial value of error 283 288 END DO 284 289 285 DO layer= 1, nlay_s ! Old snow temperature286 DO ji = kideb , kiut 287 zts old(ji,layer) = t_s_b(ji,layer)288 END DO 289 END DO 290 291 DO layer= 1, nlay_i ! Old ice temperature292 DO ji = kideb , kiut 293 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) 294 299 END DO 295 300 END DO … … 308 313 IF( thcon_i_swi == 0 ) THEN ! Untersteiner (1964) formula 309 314 DO ji = kideb , kiut 310 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) 311 316 ztcond_i(ji,0) = MAX(ztcond_i(ji,0),zkimin) 312 317 END DO 313 DO layer= 1, nlay_i-1318 DO jk = 1, nlay_i-1 314 319 DO ji = kideb , kiut 315 ztcond_i(ji, layer) = rcdic + zbeta*( s_i_b(ji,layer) + s_i_b(ji,layer+1) ) / &316 MIN(-2.0_wp * epsi10, t_i_ b(ji,layer)+t_i_b(ji,layer+1) - 2.0_wp * rtt)317 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) 318 323 END DO 319 324 END DO … … 322 327 IF( thcon_i_swi == 1 ) THEN ! Pringle et al formula included: 2.11 + 0.09 S/T - 0.011.T 323 328 DO ji = kideb , kiut 324 ztcond_i(ji,0) = rcdic + 0.090_wp * s_i_ b(ji,1) / MIN( -epsi10, t_i_b(ji,1)-rtt ) &325 & - 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 ) 326 331 ztcond_i(ji,0) = MAX( ztcond_i(ji,0), zkimin ) 327 332 END DO 328 DO layer= 1, nlay_i-1333 DO jk = 1, nlay_i-1 329 334 DO ji = kideb , kiut 330 ztcond_i(ji,layer) = rcdic + 0.090_wp * ( s_i_b(ji,layer) + s_i_b(ji,layer+1) ) & 331 & / MIN(-2.0_wp * epsi10, t_i_b(ji,layer)+t_i_b(ji,layer+1) - 2.0_wp * rtt) & 332 & - 0.0055_wp* ( t_i_b(ji,layer) + t_i_b(ji,layer+1) - 2.0*rtt ) 333 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 ) 334 340 END DO 335 341 END DO 336 342 DO ji = kideb , kiut 337 ztcond_i(ji,nlay_i) = rcdic + 0.090_wp * s_i_ b(ji,nlay_i) / MIN(-epsi10,t_bo_b(ji)-rtt) &338 & - 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 ) 339 345 ztcond_i(ji,nlay_i) = MAX( ztcond_i(ji,nlay_i), zkimin ) 340 346 END DO … … 352 358 END DO 353 359 354 DO layer= 1, nlay_s-1355 DO ji = kideb , kiut 356 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 / & 357 363 MAX(epsi10,2.0*zh_s(ji)) 358 364 END DO 359 365 END DO 360 366 361 DO layer= 1, nlay_i-1367 DO jk = 1, nlay_i-1 362 368 DO ji = kideb , kiut 363 369 !-- Ice kappa factors 364 zkappa_i(ji, layer) = 2.0*ztcond_i(ji,layer)/ &370 zkappa_i(ji,jk) = 2.0*ztcond_i(ji,jk)/ & 365 371 MAX(epsi10,2.0*zh_i(ji)) 366 372 END DO … … 381 387 !------------------------------------------------------------------------------| 382 388 ! 383 DO layer= 1, nlay_i384 DO ji = kideb , kiut 385 ztitemp(ji, layer) = t_i_b(ji,layer)386 zspeche_i(ji, layer) = cpic + zgamma*s_i_b(ji,layer)/ &387 MAX((t_i_ b(ji,layer)-rtt)*(ztiold(ji,layer)-rtt),epsi10)388 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), & 389 395 epsi10) 390 396 END DO 391 397 END DO 392 398 393 DO layer= 1, nlay_s394 DO ji = kideb , kiut 395 ztstemp(ji, layer) = t_s_b(ji,layer)396 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) 397 403 END DO 398 404 END DO … … 403 409 ! 404 410 DO ji = kideb , kiut 405 406 411 ! update of the non solar flux according to the update in T_su 407 qnsr_ice_1d(ji) = qnsr_ice_1d(ji) + dqns_ice_1d(ji) * & 408 ( 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) ) 409 413 410 414 ! update incoming flux 411 415 zf(ji) = zfsw(ji) & ! net absorbed solar radiation 412 + qns r_ice_1d(ji)! non solar total flux416 + qns_ice_1d(ji) ! non solar total flux 413 417 ! (LWup, LWdw, SH, LH) 414 415 418 END DO 416 419 … … 427 430 !!ice interior terms (top equation has the same form as the others) 428 431 429 DO numeq=1, jkmax+2432 DO numeq=1,nlay_i+3 430 433 DO ji = kideb , kiut 431 434 ztrid(ji,numeq,1) = 0. … … 440 443 DO numeq = nlay_s + 2, nlay_s + nlay_i 441 444 DO ji = kideb , kiut 442 layer= numeq - nlay_s - 1443 ztrid(ji,numeq,1) = - zeta_i(ji, layer)*zkappa_i(ji,layer-1)444 ztrid(ji,numeq,2) = 1.0 + zeta_i(ji, layer)*(zkappa_i(ji,layer-1) + &445 zkappa_i(ji, layer))446 ztrid(ji,numeq,3) = - zeta_i(ji, layer)*zkappa_i(ji,layer)447 zindterm(ji,numeq) = zti old(ji,layer) + zeta_i(ji,layer)* &448 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) 449 452 END DO 450 453 ENDDO … … 457 460 + zkappa_i(ji,nlay_i-1) ) 458 461 ztrid(ji,numeq,3) = 0.0 459 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)* & 460 463 ( zradab_i(ji,nlay_i) + zkappa_i(ji,nlay_i)*zg1 & 461 * t_bo_ b(ji) )464 * t_bo_1d(ji) ) 462 465 ENDDO 463 466 464 467 465 468 DO ji = kideb , kiut 466 IF ( ht_s_ b(ji).gt.0.0 ) THEN469 IF ( ht_s_1d(ji).gt.0.0 ) THEN 467 470 ! 468 471 !------------------------------------------------------------------------------| … … 472 475 !!snow interior terms (bottom equation has the same form as the others) 473 476 DO numeq = 3, nlay_s + 1 474 layer= numeq - 1475 ztrid(ji,numeq,1) = - zeta_s(ji, layer)*zkappa_s(ji,layer-1)476 ztrid(ji,numeq,2) = 1.0 + zeta_s(ji, layer)*( zkappa_s(ji,layer-1) + &477 zkappa_s(ji, layer) )478 ztrid(ji,numeq,3) = - zeta_s(ji, layer)*zkappa_s(ji,layer)479 zindterm(ji,numeq) = zts old(ji,layer) + zeta_s(ji,layer)* &480 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) 481 484 END DO 482 485 … … 485 488 ztrid(ji,nlay_s+2,3) = 0.0 486 489 zindterm(ji,nlay_s+2) = zindterm(ji,nlay_s+2) + zkappa_i(ji,1)* & 487 t_bo_ b(ji)490 t_bo_1d(ji) 488 491 ENDIF 489 492 490 IF ( t_su_ b(ji) .LT. rtt ) THEN493 IF ( t_su_1d(ji) .LT. rtt ) THEN 491 494 492 495 !------------------------------------------------------------------------------| … … 501 504 ztrid(ji,1,2) = dzf(ji) - zg1s*zkappa_s(ji,0) 502 505 ztrid(ji,1,3) = zg1s*zkappa_s(ji,0) 503 zindterm(ji,1) = dzf(ji)*t_su_ b(ji) - zf(ji)506 zindterm(ji,1) = dzf(ji)*t_su_1d(ji) - zf(ji) 504 507 505 508 !!first layer of snow equation … … 507 510 ztrid(ji,2,2) = 1.0 + zeta_s(ji,1)*(zkappa_s(ji,1) + zkappa_s(ji,0)*zg1s) 508 511 ztrid(ji,2,3) = - zeta_s(ji,1)* zkappa_s(ji,1) 509 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) 510 513 511 514 ELSE … … 524 527 zkappa_s(ji,0) * zg1s ) 525 528 ztrid(ji,2,3) = - zeta_s(ji,1)*zkappa_s(ji,1) 526 zindterm(ji,2) = zts old(ji,1) + zeta_s(ji,1) * &529 zindterm(ji,2) = ztsb(ji,1) + zeta_s(ji,1) * & 527 530 ( zradab_s(ji,1) + & 528 zkappa_s(ji,0) * zg1s * t_su_ b(ji) )531 zkappa_s(ji,0) * zg1s * t_su_1d(ji) ) 529 532 ENDIF 530 533 ELSE … … 534 537 !------------------------------------------------------------------------------| 535 538 ! 536 IF (t_su_ b(ji) .LT. rtt) THEN539 IF (t_su_1d(ji) .LT. rtt) THEN 537 540 ! 538 541 !------------------------------------------------------------------------------| … … 548 551 ztrid(ji,numeqmin(ji),2) = dzf(ji) - zkappa_i(ji,0)*zg1 549 552 ztrid(ji,numeqmin(ji),3) = zkappa_i(ji,0)*zg1 550 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) 551 554 552 555 !!first layer of ice equation … … 555 558 + zkappa_i(ji,0) * zg1 ) 556 559 ztrid(ji,numeqmin(ji)+1,3) = - zeta_i(ji,1)*zkappa_i(ji,1) 557 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) 558 561 559 562 !!case of only one layer in the ice (surface & ice equations are altered) … … 568 571 ztrid(ji,numeqmin(ji)+1,3) = 0.0 569 572 570 zindterm(ji,numeqmin(ji)+1) = zti old(ji,1) + zeta_i(ji,1)* &571 ( 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) ) 572 575 ENDIF 573 576 … … 588 591 zg1) 589 592 ztrid(ji,numeqmin(ji),3) = - zeta_i(ji,1) * zkappa_i(ji,1) 590 zindterm(ji,numeqmin(ji)) = zti old(ji,1) + zeta_i(ji,1)*( zradab_i(ji,1) + &591 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) ) 592 595 593 596 !!case of only one layer in the ice (surface & ice equations are altered) … … 597 600 zkappa_i(ji,1)) 598 601 ztrid(ji,numeqmin(ji),3) = 0.0 599 zindterm(ji,numeqmin(ji)) = zti old(ji,1) + zeta_i(ji,1)* &600 (zradab_i(ji,1) + zkappa_i(ji,1)*t_bo_ b(ji)) &601 + 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)*2.0 602 605 ENDIF 603 606 … … 618 621 619 622 maxnumeqmax = 0 620 minnumeqmin = jkmax+4623 minnumeqmin = nlay_i+5 621 624 622 625 DO ji = kideb , kiut … … 627 630 END DO 628 631 629 DO layer= minnumeqmin+1, maxnumeqmax630 DO ji = kideb , kiut 631 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)) 632 635 zdiagbis(ji,numeq) = ztrid(ji,numeq,2) - ztrid(ji,numeq,1)* & 633 636 ztrid(ji,numeq-1,3)/zdiagbis(ji,numeq-1) … … 639 642 DO ji = kideb , kiut 640 643 ! ice temperatures 641 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)) 642 645 END DO 643 646 644 647 DO numeq = nlay_i + nlay_s + 1, nlay_s + 2, -1 645 648 DO ji = kideb , kiut 646 layer= numeq - nlay_s - 1647 t_i_ b(ji,layer) = (zindtbis(ji,numeq) - ztrid(ji,numeq,3)* &648 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) 649 652 END DO 650 653 END DO … … 652 655 DO ji = kideb , kiut 653 656 ! snow temperatures 654 IF (ht_s_ b(ji).GT.0._wp) &655 t_s_ b(ji,nlay_s) = (zindtbis(ji,nlay_s+1) - ztrid(ji,nlay_s+1,3) &656 * t_i_ b(ji,1))/zdiagbis(ji,nlay_s+1) &657 * 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))) 658 661 659 662 ! surface temperature 660 isnow(ji) = NINT( 1.0 - MAX( 0.0 , SIGN( 1.0 , -ht_s_ b(ji) ) ) )661 ztsu oldit(ji) = t_su_b(ji)662 IF( t_su_ b(ji) < ztfs(ji) ) &663 t_su_ b(ji) = ( zindtbis(ji,numeqmin(ji)) - ztrid(ji,numeqmin(ji),3)* ( REAL( isnow(ji) )*t_s_b(ji,1) &664 & + 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)) 665 668 END DO 666 669 ! … … 672 675 ! zerrit(ji) is a measure of error, it has to be under maxer_i_thd 673 676 DO ji = kideb , kiut 674 t_su_b(ji) = MAX( MIN( t_su_b(ji) , ztfs(ji) ) , 190._wp ) 675 zerrit(ji) = ABS( t_su_b(ji) - ztsuoldit(ji) ) 676 END DO 677 678 DO layer = 1, nlay_s 679 DO ji = kideb , kiut 680 ii = MOD( npb(ji) - 1, jpi ) + 1 681 ij = ( npb(ji) - 1 ) / jpi + 1 682 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_i 688 DO ji = kideb , kiut 689 ztmelt_i = -tmut * s_i_b(ji,layer) + rtt 690 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 … … 713 714 !-------------------------------------------------------------------------! 714 715 DO ji = kideb, kiut 715 #if ! defined key_coupled716 716 ! forced mode only : update of latent heat fluxes (sublimation) (always >=0, upward flux) 717 qla_ice_1d (ji) = MAX( 0._wp, qla_ice_1d (ji) + dqla_ice_1d(ji) * ( t_su_b(ji) - ztsuold(ji) ) ) 718 #endif 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) ) ) 719 718 ! ! surface ice conduction flux 720 isnow(ji) = NINT( 1._wp - MAX( 0._wp, SIGN( 1._wp, -ht_s_ b(ji) ) ) )721 fc_su(ji) = - REAL( isnow(ji) ) * zkappa_s(ji,0) * zg1s * (t_s_ b(ji,1) - t_su_b(ji)) &722 & - 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)) 723 722 ! ! bottom ice conduction flux 724 fc_bo_i(ji) = - zkappa_i(ji,nlay_i) * ( zg1*(t_bo_b(ji) - t_i_b(ji,nlay_i)) ) 725 END DO 726 727 !-------------------------! 728 ! Heat conservation ! 729 !-------------------------! 730 IF( con_i .AND. jiindex_1d > 0 ) THEN 723 fc_bo_i(ji) = - zkappa_i(ji,nlay_i) * ( zg1*(t_bo_1d(ji) - t_i_1d(ji,nlay_i)) ) 724 END DO 725 726 !----------------------------------------- 727 ! Heat flux used to warm/cool ice in W.m-2 728 !----------------------------------------- 729 DO ji = kideb, kiut 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) 733 ELSE ! case T_su = 0degC 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) 736 ENDIF 737 END DO 738 739 ! --- computes sea ice energy of melting compulsory for limthd_dh --- ! 740 CALL lim_thd_enmelt( kideb, kiut ) 741 742 ! --- diag error on heat diffusion - PART 2 --- ! 743 DO ji = kideb, kiut 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 ) ) 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 ) 747 hfx_err_1d(ji) = hfx_err_1d(ji) + zhfx_err * a_i_1d(ji) 748 ! --- correction of qns_ice and surface conduction flux --- ! 749 qns_ice_1d(ji) = qns_ice_1d(ji) - zhfx_err 750 fc_su (ji) = fc_su (ji) - zhfx_err 751 ! --- Heat flux at the ice surface in W.m-2 --- ! 752 ii = MOD( npb(ji) - 1, jpi ) + 1 ; ij = ( npb(ji) - 1 ) / jpi + 1 753 hfx_in (ii,ij) = hfx_in (ii,ij) + a_i_1d(ji) * ( qsr_ice_1d(ji) + qns_ice_1d(ji) ) 754 END DO 755 756 ! 757 CALL wrk_dealloc( jpij, numeqmin, numeqmax, isnow ) 758 CALL wrk_dealloc( jpij, ztfs, ztsub, ztsubit, zh_i, zh_s, zfsw ) 759 CALL wrk_dealloc( jpij, zf, dzf, zerrit, zdifcase, zftrice, zihic, zhsu ) 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 ) 765 CALL wrk_dealloc( jpij, zdq, zq_ini ) 766 767 END SUBROUTINE lim_thd_dif 768 769 SUBROUTINE lim_thd_enmelt( kideb, kiut ) 770 !!----------------------------------------------------------------------- 771 !! *** ROUTINE lim_thd_enmelt *** 772 !! 773 !! ** Purpose : Computes sea ice energy of melting q_i (J.m-3) from temperature 774 !! 775 !! ** Method : Formula (Bitz and Lipscomb, 1999) 776 !!------------------------------------------------------------------- 777 INTEGER, INTENT(in) :: kideb, kiut ! bounds for the spatial loop 778 ! 779 INTEGER :: ji, jk ! dummy loop indices 780 REAL(wp) :: ztmelts, zindb ! local scalar 781 !!------------------------------------------------------------------- 782 ! 783 DO jk = 1, nlay_i ! Sea ice energy of melting 731 784 DO ji = kideb, kiut 732 ! Upper snow value 733 fc_s(ji,0) = - REAL( isnow(ji) ) * zkappa_s(ji,0) * zg1s * ( t_s_b(ji,1) - t_su_b(ji) ) 734 ! Bott. snow value 735 fc_s(ji,1) = - REAL( isnow(ji) ) * zkappa_s(ji,1) * ( t_i_b(ji,1) - t_s_b(ji,1) ) 736 END DO 737 DO ji = kideb, kiut ! Upper ice layer 738 fc_i(ji,0) = - REAL( isnow(ji) ) * & ! interface flux if there is snow 739 ( zkappa_i(ji,0) * ( t_i_b(ji,1) - t_s_b(ji,nlay_s ) ) ) & 740 - REAL( 1 - isnow(ji) ) * ( zkappa_i(ji,0) * & 741 zg1 * ( t_i_b(ji,1) - t_su_b(ji) ) ) ! upper flux if not 742 END DO 743 DO layer = 1, nlay_i - 1 ! Internal ice layers 744 DO ji = kideb, kiut 745 fc_i(ji,layer) = - zkappa_i(ji,layer) * ( t_i_b(ji,layer+1) - t_i_b(ji,layer) ) 746 ii = MOD( npb(ji) - 1, jpi ) + 1 747 ij = ( npb(ji) - 1 ) / jpi + 1 748 END DO 749 END DO 750 DO ji = kideb, kiut ! Bottom ice layers 751 fc_i(ji,nlay_i) = - zkappa_i(ji,nlay_i) * ( zg1*(t_bo_b(ji) - t_i_b(ji,nlay_i)) ) 752 END DO 753 ENDIF 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 ) ) & 789 & - rcp * ( ztmelts-rtt ) ) 790 END DO 791 END DO 792 DO jk = 1, nlay_s ! Snow energy of melting 793 DO ji = kideb, kiut 794 q_s_1d(ji,jk) = rhosn * ( cpic * ( rtt - t_s_1d(ji,jk) ) + lfus ) 795 END DO 796 END DO 754 797 ! 755 END SUBROUTINE lim_thd_ dif798 END SUBROUTINE lim_thd_enmelt 756 799 757 800 #else
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