Changeset 5260 for branches/2014/dev_r4650_UKMO10_Tidally_Meaned_Diagnostics/NEMOGCM/NEMO/LIM_SRC_3/limvar.F90
- Timestamp:
- 2015-05-12T12:37:15+02:00 (9 years ago)
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branches/2014/dev_r4650_UKMO10_Tidally_Meaned_Diagnostics/NEMOGCM/NEMO/LIM_SRC_3/limvar.F90
r4333 r5260 30 30 !!====================================================================== 31 31 !! History : - ! 2006-01 (M. Vancoppenolle) Original code 32 !! 4.0! 2011-02 (G. Madec) dynamical allocation32 !! 3.4 ! 2011-02 (G. Madec) dynamical allocation 33 33 !!---------------------------------------------------------------------- 34 34 #if defined key_lim3 … … 36 36 !! 'key_lim3' LIM3 sea-ice model 37 37 !!---------------------------------------------------------------------- 38 !! lim_var_agg :39 !! lim_var_glo2eqv :40 !! lim_var_eqv2glo :41 !! lim_var_salprof :42 !! lim_var_salprof1d :43 !! lim_var_bv :44 !!----------------------------------------------------------------------45 38 USE par_oce ! ocean parameters 46 39 USE phycst ! physical constants (ocean directory) 47 40 USE sbc_oce ! Surface boundary condition: ocean fields 48 41 USE ice ! ice variables 49 USE par_ice ! ice parameters50 42 USE thd_ice ! ice variables (thermodynamics) 51 43 USE dom_ice ! ice domain … … 58 50 PRIVATE 59 51 60 PUBLIC lim_var_agg ! 61 PUBLIC lim_var_glo2eqv ! 62 PUBLIC lim_var_eqv2glo ! 63 PUBLIC lim_var_salprof ! 64 PUBLIC lim_var_icetm ! 65 PUBLIC lim_var_bv ! 66 PUBLIC lim_var_salprof1d ! 67 68 REAL(wp) :: epsi10 = 1.e-10_wp ! - - 69 REAL(wp) :: zzero = 0.e0 ! - - 70 REAL(wp) :: zone = 1.e0 ! - - 52 PUBLIC lim_var_agg 53 PUBLIC lim_var_glo2eqv 54 PUBLIC lim_var_eqv2glo 55 PUBLIC lim_var_salprof 56 PUBLIC lim_var_icetm 57 PUBLIC lim_var_bv 58 PUBLIC lim_var_salprof1d 59 PUBLIC lim_var_zapsmall 60 PUBLIC lim_var_itd 71 61 72 62 !!---------------------------------------------------------------------- 73 !! NEMO/LIM3 4.0, UCL - NEMO Consortium (2011)63 !! NEMO/LIM3 3.5 , UCL - NEMO Consortium (2011) 74 64 !! $Id$ 75 65 !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) … … 94 84 ! 95 85 INTEGER :: ji, jj, jk, jl ! dummy loop indices 96 REAL(wp) :: zinda, zindb97 86 !!------------------------------------------------------------------ 98 87 … … 113 102 at_i(ji,jj) = at_i(ji,jj) + a_i(ji,jj,jl) ! ice concentration 114 103 ! 115 zinda = MAX( zzero , SIGN( zone, at_i(ji,jj) - epsi10 ) )116 icethi(ji,jj) = vt_i(ji,jj) / MAX( at_i(ji,jj) , epsi10 ) * zinda! ice thickness104 rswitch = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi10 ) ) 105 icethi(ji,jj) = vt_i(ji,jj) / MAX( at_i(ji,jj) , epsi10 ) * rswitch ! ice thickness 117 106 END DO 118 107 END DO … … 134 123 DO jj = 1, jpj 135 124 DO ji = 1, jpi 136 zinda = MAX( zzero , SIGN( zone , vt_i(ji,jj) - epsi10 ) )137 zindb = MAX( zzero , SIGN( zone , at_i(ji,jj) - epsi10 ) )138 et_s(ji,jj) = et_s(ji,jj) + e_s(ji,jj,1,jl) ! snow heat content139 smt_i(ji,jj) = smt_i(ji,jj) + smv_i(ji,jj,jl) / MAX( vt_i(ji,jj) , epsi10 ) * zinda ! ice salinity140 ot_i(ji,jj) = ot_i(ji,jj) + oa_i(ji,jj,jl) / MAX( at_i(ji,jj) , epsi 10 ) * zindb! ice age125 et_s(ji,jj) = et_s(ji,jj) + e_s(ji,jj,1,jl) ! snow heat content 126 rswitch = MAX( 0._wp , SIGN( 1._wp , vt_i(ji,jj) - epsi20 ) ) 127 smt_i(ji,jj) = smt_i(ji,jj) + smv_i(ji,jj,jl) / MAX( vt_i(ji,jj) , epsi20 ) * rswitch ! ice salinity 128 rswitch = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi20 ) ) 129 ot_i(ji,jj) = ot_i(ji,jj) + oa_i(ji,jj,jl) / MAX( at_i(ji,jj) , epsi20 ) * rswitch ! ice age 141 130 END DO 142 131 END DO … … 163 152 INTEGER :: ji, jj, jk, jl ! dummy loop indices 164 153 REAL(wp) :: zq_i, zaaa, zbbb, zccc, zdiscrim ! local scalars 165 REAL(wp) :: ztmelts, z indb, zq_s, zfac1, zfac2 ! - -154 REAL(wp) :: ztmelts, zq_s, zfac1, zfac2 ! - - 166 155 !!------------------------------------------------------------------ 167 156 … … 172 161 DO jj = 1, jpj 173 162 DO ji = 1, jpi 174 zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp,- a_i(ji,jj,jl) + epsi10 ) ) !0 if no ice and 1 if yes175 ht_i(ji,jj,jl) = v_i (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi 10 ) * zindb176 ht_s(ji,jj,jl) = v_s (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi 10 ) * zindb177 o_i(ji,jj,jl) = oa_i(ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi 10 ) * zindb178 END DO 179 END DO 180 END DO 181 182 IF( n um_sal == 2 )THEN163 rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi20 ) ) !0 if no ice and 1 if yes 164 ht_i(ji,jj,jl) = v_i (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch 165 ht_s(ji,jj,jl) = v_s (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch 166 o_i(ji,jj,jl) = oa_i(ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch 167 END DO 168 END DO 169 END DO 170 171 IF( nn_icesal == 2 )THEN 183 172 DO jl = 1, jpl 184 173 DO jj = 1, jpj 185 174 DO ji = 1, jpi 186 zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp,- a_i(ji,jj,jl) + epsi10 ) ) !0 if no ice and 1 if yes 187 sm_i(ji,jj,jl) = smv_i(ji,jj,jl) / MAX( v_i(ji,jj,jl) , epsi10 ) * zindb 175 rswitch = MAX( 0._wp , SIGN( 1._wp, v_i(ji,jj,jl) - epsi20 ) ) !0 if no ice and 1 if yes 176 sm_i(ji,jj,jl) = smv_i(ji,jj,jl) / MAX( v_i(ji,jj,jl) , epsi20 ) * rswitch 177 ! ! bounding salinity 178 sm_i(ji,jj,jl) = MAX( sm_i(ji,jj,jl), rn_simin ) 188 179 END DO 189 180 END DO … … 196 187 ! Ice temperatures 197 188 !------------------- 198 !CDIR NOVERRCHK 199 DO jl = 1, jpl 200 !CDIR NOVERRCHK 189 DO jl = 1, jpl 201 190 DO jk = 1, nlay_i 202 !CDIR NOVERRCHK203 191 DO jj = 1, jpj 204 !CDIR NOVERRCHK205 192 DO ji = 1, jpi 206 193 ! ! Energy of melting q(S,T) [J.m-3] 207 zq_i = e_i(ji,jj,jk,jl) / area(ji,jj) / MAX( v_i(ji,jj,jl) , epsi10 ) * REAL(nlay_i,wp) 208 zindb = 1.0 - MAX( 0.0 , SIGN( 1.0 , - v_i(ji,jj,jl) + epsi10 ) ) ! zindb = 0 if no ice and 1 if yes 209 zq_i = zq_i * unit_fac * zindb !convert units 210 ztmelts = -tmut * s_i(ji,jj,jk,jl) + rtt ! Ice layer melt temperature 194 rswitch = MAX( 0.0 , SIGN( 1.0 , v_i(ji,jj,jl) - epsi20 ) ) ! rswitch = 0 if no ice and 1 if yes 195 zq_i = rswitch * e_i(ji,jj,jk,jl) / MAX( v_i(ji,jj,jl) , epsi20 ) * REAL(nlay_i,wp) 196 ztmelts = -tmut * s_i(ji,jj,jk,jl) + rt0 ! Ice layer melt temperature 211 197 ! 212 198 zaaa = cpic ! Conversion q(S,T) -> T (second order equation) 213 zbbb = ( rcp - cpic ) * ( ztmelts - rt t ) + zq_i /rhoic - lfus214 zccc = lfus * (ztmelts-rt t)199 zbbb = ( rcp - cpic ) * ( ztmelts - rt0 ) + zq_i * r1_rhoic - lfus 200 zccc = lfus * (ztmelts-rt0) 215 201 zdiscrim = SQRT( MAX(zbbb*zbbb - 4._wp*zaaa*zccc , 0._wp) ) 216 t_i(ji,jj,jk,jl) = rt t + zindb*( - zbbb - zdiscrim ) / ( 2.0 *zaaa )217 t_i(ji,jj,jk,jl) = MIN( rtt, MAX( 173.15_wp, t_i(ji,jj,jk,jl) ) ) ! 100-rtt < t_i < rtt202 t_i(ji,jj,jk,jl) = rt0 + rswitch *( - zbbb - zdiscrim ) / ( 2.0 *zaaa ) 203 t_i(ji,jj,jk,jl) = MIN( ztmelts, MAX( rt0 - 100._wp, t_i(ji,jj,jk,jl) ) ) ! -100 < t_i < ztmelts 218 204 END DO 219 205 END DO … … 231 217 DO ji = 1, jpi 232 218 !Energy of melting q(S,T) [J.m-3] 233 zq_s = e_s(ji,jj,jk,jl) / ( area(ji,jj) * MAX( v_s(ji,jj,jl) , epsi10 ) ) * REAL(nlay_s,wp) 234 zindb = 1._wp - MAX( 0._wp , SIGN( 1._wp , - v_s(ji,jj,jl) + epsi10 ) ) ! zindb = 0 if no ice and 1 if yes 235 zq_s = zq_s * unit_fac * zindb ! convert units 219 rswitch = MAX( 0._wp , SIGN( 1._wp , v_s(ji,jj,jl) - epsi20 ) ) ! rswitch = 0 if no ice and 1 if yes 220 zq_s = rswitch * e_s(ji,jj,jk,jl) / MAX( v_s(ji,jj,jl) , epsi20 ) * REAL(nlay_s,wp) 236 221 ! 237 t_s(ji,jj,jk,jl) = rt t + zindb* ( - zfac1 * zq_s + zfac2 )238 t_s(ji,jj,jk,jl) = MIN( rt t, MAX( 173.15, t_s(ji,jj,jk,jl) ) ) ! 100-rtt < t_i < rtt222 t_s(ji,jj,jk,jl) = rt0 + rswitch * ( - zfac1 * zq_s + zfac2 ) 223 t_s(ji,jj,jk,jl) = MIN( rt0, MAX( rt0 - 100._wp , t_s(ji,jj,jk,jl) ) ) ! -100 < t_s < rt0 239 224 END DO 240 225 END DO … … 245 230 ! Mean temperature 246 231 !------------------- 232 vt_i (:,:) = 0._wp 233 DO jl = 1, jpl 234 vt_i(:,:) = vt_i(:,:) + v_i(:,:,jl) 235 END DO 236 247 237 tm_i(:,:) = 0._wp 248 238 DO jl = 1, jpl … … 250 240 DO jj = 1, jpj 251 241 DO ji = 1, jpi 252 zindb = ( 1._wp - MAX( 0._wp , SIGN( 1._wp , - vt_i(ji,jj) + epsi10 ) ) ) 253 tm_i(ji,jj) = tm_i(ji,jj) + zindb * t_i(ji,jj,jk,jl) * v_i(ji,jj,jl) & 254 & / ( REAL(nlay_i,wp) * MAX( vt_i(ji,jj) , epsi10 ) ) 255 END DO 256 END DO 257 END DO 258 END DO 242 rswitch = MAX( 0._wp , SIGN( 1._wp , vt_i(ji,jj) - epsi10 ) ) 243 tm_i(ji,jj) = tm_i(ji,jj) + r1_nlay_i * rswitch * ( t_i(ji,jj,jk,jl) - rt0 ) * v_i(ji,jj,jl) & 244 & / MAX( vt_i(ji,jj) , epsi10 ) 245 END DO 246 END DO 247 END DO 248 END DO 249 tm_i = tm_i + rt0 259 250 ! 260 251 END SUBROUTINE lim_var_glo2eqv … … 275 266 v_s(:,:,:) = ht_s(:,:,:) * a_i(:,:,:) 276 267 smv_i(:,:,:) = sm_i(:,:,:) * v_i(:,:,:) 277 oa_i (:,:,:) = o_i (:,:,:) * a_i(:,:,:)278 268 ! 279 269 END SUBROUTINE lim_var_eqv2glo … … 286 276 !! ** Purpose : computes salinity profile in function of bulk salinity 287 277 !! 288 !! ** Method : If bulk salinity greater than s_i_1,278 !! ** Method : If bulk salinity greater than zsi1, 289 279 !! the profile is assumed to be constant (S_inf) 290 !! If bulk salinity lower than s_i_0,280 !! If bulk salinity lower than zsi0, 291 281 !! the profile is linear with 0 at the surface (S_zero) 292 !! If it is between s_i_0 and s_i_1, it is a282 !! If it is between zsi0 and zsi1, it is a 293 283 !! alpha-weighted linear combination of s_inf and s_zero 294 284 !! 295 !! ** References : Vancoppenolle et al., 2007 (in preparation)285 !! ** References : Vancoppenolle et al., 2007 296 286 !!------------------------------------------------------------------ 297 287 INTEGER :: ji, jj, jk, jl ! dummy loop index 298 REAL(wp) :: dummy_fac0, dummy_fac1, dummy_fac, zsal ! local scalar 299 REAL(wp) :: zind0, zind01, zindbal, zargtemp , zs_zero ! - - 300 REAL(wp), POINTER, DIMENSION(:,:,:) :: z_slope_s, zalpha ! 3D pointer 288 REAL(wp) :: zfac0, zfac1, zsal 289 REAL(wp) :: zswi0, zswi01, zargtemp , zs_zero 290 REAL(wp), POINTER, DIMENSION(:,:,:) :: z_slope_s, zalpha 291 REAL(wp), PARAMETER :: zsi0 = 3.5_wp 292 REAL(wp), PARAMETER :: zsi1 = 4.5_wp 301 293 !!------------------------------------------------------------------ 302 294 … … 306 298 ! Vertically constant, constant in time 307 299 !--------------------------------------- 308 IF( n um_sal == 1 ) s_i(:,:,:,:) = bulk_sal300 IF( nn_icesal == 1 ) s_i(:,:,:,:) = rn_icesal 309 301 310 302 !----------------------------------- 311 303 ! Salinity profile, varying in time 312 304 !----------------------------------- 313 IF( n um_sal == 2 ) THEN305 IF( nn_icesal == 2 ) THEN 314 306 ! 315 307 DO jk = 1, nlay_i … … 320 312 DO jj = 1, jpj 321 313 DO ji = 1, jpi 322 z_slope_s(ji,jj,jl) = 2._wp * sm_i(ji,jj,jl) / MAX( 0.01 , ht_i(ji,jj,jl) ) 323 END DO 324 END DO 325 END DO 326 ! 327 dummy_fac0 = 1._wp / ( s_i_0 - s_i_1 ) ! Weighting factor between zs_zero and zs_inf 328 dummy_fac1 = s_i_1 / ( s_i_1 - s_i_0 ) 314 rswitch = MAX( 0._wp , SIGN( 1._wp , ht_i(ji,jj,jl) - epsi20 ) ) 315 z_slope_s(ji,jj,jl) = rswitch * 2._wp * sm_i(ji,jj,jl) / MAX( epsi20 , ht_i(ji,jj,jl) ) 316 END DO 317 END DO 318 END DO 319 ! 320 zfac0 = 1._wp / ( zsi0 - zsi1 ) ! Weighting factor between zs_zero and zs_inf 321 zfac1 = zsi1 / ( zsi1 - zsi0 ) 329 322 ! 330 323 zalpha(:,:,:) = 0._wp … … 332 325 DO jj = 1, jpj 333 326 DO ji = 1, jpi 334 ! z ind0 = 1 if sm_i le s_i_0 and 0 otherwise335 z ind0 = MAX( 0._wp , SIGN( 1._wp , s_i_0 - sm_i(ji,jj,jl) ) )336 ! z ind01 = 1 if sm_i is between s_i_0 and s_i_1 and 0 othws337 z ind01 = ( 1._wp - zind0 ) * MAX( 0._wp , SIGN( 1._wp , s_i_1 - sm_i(ji,jj,jl) ) )338 ! If 2.sm_i GE sss_m then zindbal= 1327 ! zswi0 = 1 if sm_i le zsi0 and 0 otherwise 328 zswi0 = MAX( 0._wp , SIGN( 1._wp , zsi0 - sm_i(ji,jj,jl) ) ) 329 ! zswi01 = 1 if sm_i is between zsi0 and zsi1 and 0 othws 330 zswi01 = ( 1._wp - zswi0 ) * MAX( 0._wp , SIGN( 1._wp , zsi1 - sm_i(ji,jj,jl) ) ) 331 ! If 2.sm_i GE sss_m then rswitch = 1 339 332 ! this is to force a constant salinity profile in the Baltic Sea 340 zindbal= MAX( 0._wp , SIGN( 1._wp , 2._wp * sm_i(ji,jj,jl) - sss_m(ji,jj) ) )341 zalpha(ji,jj,jl) = z ind0 + zind01 * ( sm_i(ji,jj,jl) * dummy_fac0 + dummy_fac1 )342 zalpha(ji,jj,jl) = zalpha(ji,jj,jl) * ( 1._wp - zindbal)343 END DO 344 END DO 345 END DO 346 347 dummy_fac = 1._wp / REAL( nlay_i )! Computation of the profile333 rswitch = MAX( 0._wp , SIGN( 1._wp , 2._wp * sm_i(ji,jj,jl) - sss_m(ji,jj) ) ) 334 zalpha(ji,jj,jl) = zswi0 + zswi01 * ( sm_i(ji,jj,jl) * zfac0 + zfac1 ) 335 zalpha(ji,jj,jl) = zalpha(ji,jj,jl) * ( 1._wp - rswitch ) 336 END DO 337 END DO 338 END DO 339 340 ! Computation of the profile 348 341 DO jl = 1, jpl 349 342 DO jk = 1, nlay_i … … 351 344 DO ji = 1, jpi 352 345 ! ! linear profile with 0 at the surface 353 zs_zero = z_slope_s(ji,jj,jl) * ( REAL(jk,wp) - 0.5_wp ) * ht_i(ji,jj,jl) * dummy_fac346 zs_zero = z_slope_s(ji,jj,jl) * ( REAL(jk,wp) - 0.5_wp ) * ht_i(ji,jj,jl) * r1_nlay_i 354 347 ! ! weighting the profile 355 348 s_i(ji,jj,jk,jl) = zalpha(ji,jj,jl) * zs_zero + ( 1._wp - zalpha(ji,jj,jl) ) * sm_i(ji,jj,jl) 356 END DO ! ji 357 END DO ! jj 358 END DO ! jk 359 END DO ! jl 360 ! 361 ENDIF ! num_sal 349 ! ! bounding salinity 350 s_i(ji,jj,jk,jl) = MIN( rn_simax, MAX( s_i(ji,jj,jk,jl), rn_simin ) ) 351 END DO 352 END DO 353 END DO 354 END DO 355 ! 356 ENDIF ! nn_icesal 362 357 363 358 !------------------------------------------------------- … … 365 360 !------------------------------------------------------- 366 361 367 IF( n um_sal == 3 ) THEN ! Schwarzacher (1959) multiyear salinity profile (mean = 2.30)362 IF( nn_icesal == 3 ) THEN ! Schwarzacher (1959) multiyear salinity profile (mean = 2.30) 368 363 ! 369 364 sm_i(:,:,:) = 2.30_wp 370 365 ! 371 366 DO jl = 1, jpl 372 !CDIR NOVERRCHK373 367 DO jk = 1, nlay_i 374 zargtemp = ( REAL(jk,wp) - 0.5_wp ) / REAL(nlay_i,wp)368 zargtemp = ( REAL(jk,wp) - 0.5_wp ) * r1_nlay_i 375 369 zsal = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**(0.407_wp/(0.573_wp+zargtemp)) ) ) 376 370 s_i(:,:,jk,jl) = zsal … … 378 372 END DO 379 373 ! 380 ENDIF ! n um_sal374 ENDIF ! nn_icesal 381 375 ! 382 376 CALL wrk_dealloc( jpi, jpj, jpl, z_slope_s, zalpha ) … … 392 386 !!------------------------------------------------------------------ 393 387 INTEGER :: ji, jj, jk, jl ! dummy loop indices 394 REAL(wp) :: zindb ! - -395 388 !!------------------------------------------------------------------ 396 389 397 390 ! Mean sea ice temperature 391 vt_i (:,:) = 0._wp 392 DO jl = 1, jpl 393 vt_i(:,:) = vt_i(:,:) + v_i(:,:,jl) 394 END DO 395 398 396 tm_i(:,:) = 0._wp 399 397 DO jl = 1, jpl … … 401 399 DO jj = 1, jpj 402 400 DO ji = 1, jpi 403 zindb = ( 1._wp - MAX( 0._wp , SIGN( 1._wp , - vt_i(ji,jj) + epsi10 ) ) ) 404 tm_i(ji,jj) = tm_i(ji,jj) + zindb * t_i(ji,jj,jk,jl) * v_i(ji,jj,jl) & 405 & / ( REAL(nlay_i,wp) * MAX( vt_i(ji,jj) , epsi10 ) ) 406 END DO 407 END DO 408 END DO 409 END DO 401 rswitch = MAX( 0._wp , SIGN( 1._wp , vt_i(ji,jj) - epsi10 ) ) 402 tm_i(ji,jj) = tm_i(ji,jj) + r1_nlay_i * rswitch * ( t_i(ji,jj,jk,jl) - rt0 ) * v_i(ji,jj,jl) & 403 & / MAX( vt_i(ji,jj) , epsi10 ) 404 END DO 405 END DO 406 END DO 407 END DO 408 tm_i = tm_i + rt0 410 409 411 410 END SUBROUTINE lim_var_icetm … … 423 422 !!------------------------------------------------------------------ 424 423 INTEGER :: ji, jj, jk, jl ! dummy loop indices 425 REAL(wp) :: zbvi, zinda, zindb ! local scalars 426 !!------------------------------------------------------------------ 427 ! 424 REAL(wp) :: zbvi ! local scalars 425 !!------------------------------------------------------------------ 426 ! 427 vt_i (:,:) = 0._wp 428 DO jl = 1, jpl 429 vt_i(:,:) = vt_i(:,:) + v_i(:,:,jl) 430 END DO 431 428 432 bv_i(:,:) = 0._wp 429 433 DO jl = 1, jpl … … 431 435 DO jj = 1, jpj 432 436 DO ji = 1, jpi 433 zinda = ( 1._wp - MAX( 0._wp , SIGN( 1._wp , (t_i(ji,jj,jk,jl) - rtt) + epsi10 ) ) )434 z indb = ( 1._wp - MAX( 0._wp , SIGN( 1._wp , - vt_i(ji,jj) + epsi10 ) ) )435 zbvi = - zinda * tmut * s_i(ji,jj,jk,jl) / MIN( t_i(ji,jj,jk,jl) - rtt, - epsi10 ) &436 & * v_i(ji,jj,jl) / REAL(nlay_i,wp)437 bv_i(ji,jj) = bv_i(ji,jj) + zindb * zbvi / MAX( vt_i(ji,jj) , epsi10 )437 rswitch = ( 1._wp - MAX( 0._wp , SIGN( 1._wp , (t_i(ji,jj,jk,jl) - rt0) + epsi10 ) ) ) 438 zbvi = - rswitch * tmut * s_i(ji,jj,jk,jl) / MIN( t_i(ji,jj,jk,jl) - rt0, - epsi10 ) & 439 & * v_i(ji,jj,jl) * r1_nlay_i 440 rswitch = ( 1._wp - MAX( 0._wp , SIGN( 1._wp , - vt_i(ji,jj) + epsi20 ) ) ) 441 bv_i(ji,jj) = bv_i(ji,jj) + rswitch * zbvi / MAX( vt_i(ji,jj) , epsi20 ) 438 442 END DO 439 443 END DO … … 454 458 ! 455 459 INTEGER :: ji, jk ! dummy loop indices 456 INTEGER :: ii, ij ! local integers457 REAL(wp) :: dummy_fac0, dummy_fac1, dummy_fac2, zargtemp, zsal ! local scalars458 REAL(wp) :: zalpha, z ind0, zind01, zindbal, zs_zero ! - -460 INTEGER :: ii, ij ! local integers 461 REAL(wp) :: zfac0, zfac1, zargtemp, zsal ! local scalars 462 REAL(wp) :: zalpha, zswi0, zswi01, zs_zero ! - - 459 463 ! 460 464 REAL(wp), POINTER, DIMENSION(:) :: z_slope_s 465 REAL(wp), PARAMETER :: zsi0 = 3.5_wp 466 REAL(wp), PARAMETER :: zsi1 = 4.5_wp 461 467 !!--------------------------------------------------------------------- 462 468 … … 466 472 ! Vertically constant, constant in time 467 473 !--------------------------------------- 468 IF( n um_sal == 1 ) s_i_b(:,:) = bulk_sal474 IF( nn_icesal == 1 ) s_i_1d(:,:) = rn_icesal 469 475 470 476 !------------------------------------------------------ … … 472 478 !------------------------------------------------------ 473 479 474 IF( n um_sal == 2 ) THEN480 IF( nn_icesal == 2 ) THEN 475 481 ! 476 482 DO ji = kideb, kiut ! Slope of the linear profile zs_zero 477 z_slope_s(ji) = 2._wp * sm_i_b(ji) / MAX( 0.01 , ht_i_b(ji) ) 483 rswitch = MAX( 0._wp , SIGN( 1._wp , ht_i_1d(ji) - epsi20 ) ) 484 z_slope_s(ji) = rswitch * 2._wp * sm_i_1d(ji) / MAX( epsi20 , ht_i_1d(ji) ) 478 485 END DO 479 486 480 487 ! Weighting factor between zs_zero and zs_inf 481 488 !--------------------------------------------- 482 dummy_fac0 = 1._wp / ( s_i_0 - s_i_1 ) 483 dummy_fac1 = s_i_1 / ( s_i_1 - s_i_0 ) 484 dummy_fac2 = 1._wp / REAL(nlay_i,wp) 485 486 !CDIR NOVERRCHK 489 zfac0 = 1._wp / ( zsi0 - zsi1 ) 490 zfac1 = zsi1 / ( zsi1 - zsi0 ) 487 491 DO jk = 1, nlay_i 488 !CDIR NOVERRCHK489 492 DO ji = kideb, kiut 490 493 ii = MOD( npb(ji) - 1 , jpi ) + 1 491 494 ij = ( npb(ji) - 1 ) / jpi + 1 492 ! z ind0 = 1 if sm_i le s_i_0 and 0 otherwise493 z ind0 = MAX( 0._wp , SIGN( 1._wp , s_i_0 - sm_i_b(ji) ) )494 ! z ind01 = 1 if sm_i is between s_i_0 and s_i_1 and 0 othws495 z ind01 = ( 1._wp - zind0 ) * MAX( 0._wp , SIGN( 1._wp , s_i_1 - sm_i_b(ji) ) )496 ! if 2.sm_i GE sss_m then zindbal= 1495 ! zswi0 = 1 if sm_i le zsi0 and 0 otherwise 496 zswi0 = MAX( 0._wp , SIGN( 1._wp , zsi0 - sm_i_1d(ji) ) ) 497 ! zswi01 = 1 if sm_i is between zsi0 and zsi1 and 0 othws 498 zswi01 = ( 1._wp - zswi0 ) * MAX( 0._wp , SIGN( 1._wp , zsi1 - sm_i_1d(ji) ) ) 499 ! if 2.sm_i GE sss_m then rswitch = 1 497 500 ! this is to force a constant salinity profile in the Baltic Sea 498 zindbal = MAX( 0._wp , SIGN( 1._wp , 2._wp * sm_i_b(ji) - sss_m(ii,ij) ) )501 rswitch = MAX( 0._wp , SIGN( 1._wp , 2._wp * sm_i_1d(ji) - sss_m(ii,ij) ) ) 499 502 ! 500 zalpha = ( z ind0 + zind01 * ( sm_i_b(ji) * dummy_fac0 + dummy_fac1 ) ) * ( 1.0 - zindbal)503 zalpha = ( zswi0 + zswi01 * ( sm_i_1d(ji) * zfac0 + zfac1 ) ) * ( 1._wp - rswitch ) 501 504 ! 502 zs_zero = z_slope_s(ji) * ( REAL(jk,wp) - 0.5_wp ) * ht_i_ b(ji) * dummy_fac2505 zs_zero = z_slope_s(ji) * ( REAL(jk,wp) - 0.5_wp ) * ht_i_1d(ji) * r1_nlay_i 503 506 ! weighting the profile 504 s_i_b(ji,jk) = zalpha * zs_zero + ( 1._wp - zalpha ) * sm_i_b(ji) 505 END DO ! ji 506 END DO ! jk 507 508 ENDIF ! num_sal 507 s_i_1d(ji,jk) = zalpha * zs_zero + ( 1._wp - zalpha ) * sm_i_1d(ji) 508 ! bounding salinity 509 s_i_1d(ji,jk) = MIN( rn_simax, MAX( s_i_1d(ji,jk), rn_simin ) ) 510 END DO 511 END DO 512 513 ENDIF 509 514 510 515 !------------------------------------------------------- … … 512 517 !------------------------------------------------------- 513 518 514 IF( num_sal == 3 ) THEN ! Schwarzacher (1959) multiyear salinity profile (mean = 2.30) 515 ! 516 sm_i_b(:) = 2.30_wp 517 ! 518 !CDIR NOVERRCHK 519 IF( nn_icesal == 3 ) THEN ! Schwarzacher (1959) multiyear salinity profile (mean = 2.30) 520 ! 521 sm_i_1d(:) = 2.30_wp 522 ! 519 523 DO jk = 1, nlay_i 520 zargtemp = ( REAL(jk,wp) - 0.5_wp ) / REAL(nlay_i,wp)521 zsal = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**(0.407_wp/(0.573_wp+zargtemp)) ))524 zargtemp = ( REAL(jk,wp) - 0.5_wp ) * r1_nlay_i 525 zsal = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**( 0.407_wp / ( 0.573_wp + zargtemp ) ) ) ) 522 526 DO ji = kideb, kiut 523 s_i_ b(ji,jk) = zsal527 s_i_1d(ji,jk) = zsal 524 528 END DO 525 529 END DO … … 530 534 ! 531 535 END SUBROUTINE lim_var_salprof1d 536 537 SUBROUTINE lim_var_zapsmall 538 !!------------------------------------------------------------------- 539 !! *** ROUTINE lim_var_zapsmall *** 540 !! 541 !! ** Purpose : Remove too small sea ice areas and correct fluxes 542 !! 543 !! history : LIM3.5 - 01-2014 (C. Rousset) original code 544 !!------------------------------------------------------------------- 545 INTEGER :: ji, jj, jl, jk ! dummy loop indices 546 REAL(wp) :: zsal, zvi, zvs, zei, zes 547 !!------------------------------------------------------------------- 548 at_i (:,:) = 0._wp 549 DO jl = 1, jpl 550 at_i(:,:) = at_i(:,:) + a_i(:,:,jl) 551 END DO 552 553 DO jl = 1, jpl 554 555 !----------------------------------------------------------------- 556 ! Zap ice energy and use ocean heat to melt ice 557 !----------------------------------------------------------------- 558 DO jk = 1, nlay_i 559 DO jj = 1 , jpj 560 DO ji = 1 , jpi 561 rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi10 ) ) 562 rswitch = MAX( 0._wp , SIGN( 1._wp, at_i(ji,jj ) - epsi10 ) ) * rswitch 563 rswitch = MAX( 0._wp , SIGN( 1._wp, v_i(ji,jj,jl) - epsi10 ) ) * rswitch 564 rswitch = MAX( 0._wp , SIGN( 1._wp, v_i(ji,jj,jl) * rswitch & 565 & / MAX( a_i(ji,jj,jl), epsi10 ) - epsi10 ) ) * rswitch 566 zei = e_i(ji,jj,jk,jl) 567 e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * rswitch 568 t_i(ji,jj,jk,jl) = t_i(ji,jj,jk,jl) * rswitch + rt0 * ( 1._wp - rswitch ) 569 ! update exchanges with ocean 570 hfx_res(ji,jj) = hfx_res(ji,jj) + ( e_i(ji,jj,jk,jl) - zei ) * r1_rdtice ! W.m-2 <0 571 END DO 572 END DO 573 END DO 574 575 DO jj = 1 , jpj 576 DO ji = 1 , jpi 577 rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi10 ) ) 578 rswitch = MAX( 0._wp , SIGN( 1._wp, at_i(ji,jj ) - epsi10 ) ) * rswitch 579 rswitch = MAX( 0._wp , SIGN( 1._wp, v_i(ji,jj,jl) - epsi10 ) ) * rswitch 580 rswitch = MAX( 0._wp , SIGN( 1._wp, v_i(ji,jj,jl) * rswitch & 581 & / MAX( a_i(ji,jj,jl), epsi10 ) - epsi10 ) ) * rswitch 582 zsal = smv_i(ji,jj, jl) 583 zvi = v_i (ji,jj, jl) 584 zvs = v_s (ji,jj, jl) 585 zes = e_s (ji,jj,1,jl) 586 !----------------------------------------------------------------- 587 ! Zap snow energy 588 !----------------------------------------------------------------- 589 t_s(ji,jj,1,jl) = t_s(ji,jj,1,jl) * rswitch + rt0 * ( 1._wp - rswitch ) 590 e_s(ji,jj,1,jl) = e_s(ji,jj,1,jl) * rswitch 591 592 !----------------------------------------------------------------- 593 ! zap ice and snow volume, add water and salt to ocean 594 !----------------------------------------------------------------- 595 ato_i(ji,jj) = a_i (ji,jj,jl) * ( 1._wp - rswitch ) + ato_i(ji,jj) 596 a_i (ji,jj,jl) = a_i (ji,jj,jl) * rswitch 597 v_i (ji,jj,jl) = v_i (ji,jj,jl) * rswitch 598 v_s (ji,jj,jl) = v_s (ji,jj,jl) * rswitch 599 t_su (ji,jj,jl) = t_su (ji,jj,jl) * rswitch + t_bo(ji,jj) * ( 1._wp - rswitch ) 600 oa_i (ji,jj,jl) = oa_i (ji,jj,jl) * rswitch 601 smv_i(ji,jj,jl) = smv_i(ji,jj,jl) * rswitch 602 603 ! update exchanges with ocean 604 sfx_res(ji,jj) = sfx_res(ji,jj) - ( smv_i(ji,jj,jl) - zsal ) * rhoic * r1_rdtice 605 wfx_res(ji,jj) = wfx_res(ji,jj) - ( v_i(ji,jj,jl) - zvi ) * rhoic * r1_rdtice 606 wfx_snw(ji,jj) = wfx_snw(ji,jj) - ( v_s(ji,jj,jl) - zvs ) * rhosn * r1_rdtice 607 hfx_res(ji,jj) = hfx_res(ji,jj) + ( e_s(ji,jj,1,jl) - zes ) * r1_rdtice ! W.m-2 <0 608 END DO 609 END DO 610 END DO 611 612 ! to be sure that at_i is the sum of a_i(jl) 613 at_i (:,:) = 0._wp 614 DO jl = 1, jpl 615 at_i(:,:) = at_i(:,:) + a_i(:,:,jl) 616 END DO 617 618 ! open water = 1 if at_i=0 619 DO jj = 1, jpj 620 DO ji = 1, jpi 621 rswitch = MAX( 0._wp , SIGN( 1._wp, - at_i(ji,jj) ) ) 622 ato_i(ji,jj) = rswitch + (1._wp - rswitch ) * ato_i(ji,jj) 623 END DO 624 END DO 625 626 ! 627 END SUBROUTINE lim_var_zapsmall 628 629 SUBROUTINE lim_var_itd( zhti, zhts, zai, zht_i, zht_s, za_i ) 630 !!------------------------------------------------------------------ 631 !! *** ROUTINE lim_var_itd *** 632 !! 633 !! ** Purpose : converting 1-cat ice to multiple ice categories 634 !! 635 !! ice thickness distribution follows a gaussian law 636 !! around the concentration of the most likely ice thickness 637 !! (similar as limistate.F90) 638 !! 639 !! ** Method: Iterative procedure 640 !! 641 !! 1) Try to fill the jpl ice categories (bounds hi_max(0:jpl)) with a gaussian 642 !! 643 !! 2) Check whether the distribution conserves area and volume, positivity and 644 !! category boundaries 645 !! 646 !! 3) If not (input ice is too thin), the last category is empty and 647 !! the number of categories is reduced (jpl-1) 648 !! 649 !! 4) Iterate until ok (SUM(itest(:) = 4) 650 !! 651 !! ** Arguments : zhti: 1-cat ice thickness 652 !! zhts: 1-cat snow depth 653 !! zai : 1-cat ice concentration 654 !! 655 !! ** Output : jpl-cat 656 !! 657 !! (Example of application: BDY forcings when input are cell averaged) 658 !! 659 !!------------------------------------------------------------------- 660 !! History : LIM3.5 - 2012 (M. Vancoppenolle) Original code 661 !! 2014 (C. Rousset) Rewriting 662 !!------------------------------------------------------------------- 663 !! Local variables 664 INTEGER :: ji, jk, jl ! dummy loop indices 665 INTEGER :: ijpij, i_fill, jl0 666 REAL(wp) :: zarg, zV, zconv, zdh 667 REAL(wp), DIMENSION(:), INTENT(in) :: zhti, zhts, zai ! input ice/snow variables 668 REAL(wp), DIMENSION(:,:), INTENT(inout) :: zht_i, zht_s, za_i ! output ice/snow variables 669 INTEGER , POINTER, DIMENSION(:) :: itest 670 671 CALL wrk_alloc( 4, itest ) 672 !-------------------------------------------------------------------- 673 ! initialisation of variables 674 !-------------------------------------------------------------------- 675 ijpij = SIZE(zhti,1) 676 zht_i(1:ijpij,1:jpl) = 0._wp 677 zht_s(1:ijpij,1:jpl) = 0._wp 678 za_i (1:ijpij,1:jpl) = 0._wp 679 680 ! ---------------------------------------- 681 ! distribution over the jpl ice categories 682 ! ---------------------------------------- 683 DO ji = 1, ijpij 684 685 IF( zhti(ji) > 0._wp ) THEN 686 687 ! initialisation of tests 688 itest(:) = 0 689 690 i_fill = jpl + 1 !==================================== 691 DO WHILE ( ( SUM( itest(:) ) /= 4 ) .AND. ( i_fill >= 2 ) ) ! iterative loop on i_fill categories 692 ! iteration !==================================== 693 i_fill = i_fill - 1 694 695 ! initialisation of ice variables for each try 696 zht_i(ji,1:jpl) = 0._wp 697 za_i (ji,1:jpl) = 0._wp 698 699 ! *** case very thin ice: fill only category 1 700 IF ( i_fill == 1 ) THEN 701 zht_i(ji,1) = zhti(ji) 702 za_i (ji,1) = zai (ji) 703 704 ! *** case ice is thicker: fill categories >1 705 ELSE 706 707 ! Fill ice thicknesses except the last one (i_fill) by hmean 708 DO jl = 1, i_fill - 1 709 zht_i(ji,jl) = hi_mean(jl) 710 END DO 711 712 ! find which category (jl0) the input ice thickness falls into 713 jl0 = i_fill 714 DO jl = 1, i_fill 715 IF ( ( zhti(ji) >= hi_max(jl-1) ) .AND. ( zhti(ji) < hi_max(jl) ) ) THEN 716 jl0 = jl 717 CYCLE 718 ENDIF 719 END DO 720 721 ! Concentrations in the (i_fill-1) categories 722 za_i(ji,jl0) = zai(ji) / SQRT(REAL(jpl)) 723 DO jl = 1, i_fill - 1 724 IF ( jl == jl0 ) CYCLE 725 zarg = ( zht_i(ji,jl) - zhti(ji) ) / ( zhti(ji) * 0.5_wp ) 726 za_i(ji,jl) = za_i (ji,jl0) * EXP(-zarg**2) 727 END DO 728 729 ! Concentration in the last (i_fill) category 730 za_i(ji,i_fill) = zai(ji) - SUM( za_i(ji,1:i_fill-1) ) 731 732 ! Ice thickness in the last (i_fill) category 733 zV = SUM( za_i(ji,1:i_fill-1) * zht_i(ji,1:i_fill-1) ) 734 zht_i(ji,i_fill) = ( zhti(ji) * zai(ji) - zV ) / za_i(ji,i_fill) 735 736 ENDIF ! case ice is thick or thin 737 738 !--------------------- 739 ! Compatibility tests 740 !--------------------- 741 ! Test 1: area conservation 742 zconv = ABS( zai(ji) - SUM( za_i(ji,1:jpl) ) ) 743 IF ( zconv < epsi06 ) itest(1) = 1 744 745 ! Test 2: volume conservation 746 zconv = ABS( zhti(ji)*zai(ji) - SUM( za_i(ji,1:jpl)*zht_i(ji,1:jpl) ) ) 747 IF ( zconv < epsi06 ) itest(2) = 1 748 749 ! Test 3: thickness of the last category is in-bounds ? 750 IF ( zht_i(ji,i_fill) >= hi_max(i_fill-1) ) itest(3) = 1 751 752 ! Test 4: positivity of ice concentrations 753 itest(4) = 1 754 DO jl = 1, i_fill 755 IF ( za_i(ji,jl) < 0._wp ) itest(4) = 0 756 END DO 757 !============================ 758 END DO ! end iteration on categories 759 !============================ 760 ENDIF ! if zhti > 0 761 END DO ! i loop 762 763 ! ------------------------------------------------ 764 ! Adding Snow in each category where za_i is not 0 765 ! ------------------------------------------------ 766 DO jl = 1, jpl 767 DO ji = 1, ijpij 768 IF( za_i(ji,jl) > 0._wp ) THEN 769 zht_s(ji,jl) = zht_i(ji,jl) * ( zhts(ji) / zhti(ji) ) 770 ! In case snow load is in excess that would lead to transformation from snow to ice 771 ! Then, transfer the snow excess into the ice (different from limthd_dh) 772 zdh = MAX( 0._wp, ( rhosn * zht_s(ji,jl) + ( rhoic - rau0 ) * zht_i(ji,jl) ) * r1_rau0 ) 773 ! recompute ht_i, ht_s avoiding out of bounds values 774 zht_i(ji,jl) = MIN( hi_max(jl), zht_i(ji,jl) + zdh ) 775 zht_s(ji,jl) = MAX( 0._wp, zht_s(ji,jl) - zdh * rhoic * r1_rhosn ) 776 ENDIF 777 ENDDO 778 ENDDO 779 780 CALL wrk_dealloc( 4, itest ) 781 ! 782 END SUBROUTINE lim_var_itd 783 532 784 533 785 #else … … 548 800 SUBROUTINE lim_var_salprof1d ! Emtpy routines 549 801 END SUBROUTINE lim_var_salprof1d 802 SUBROUTINE lim_var_zapsmall 803 END SUBROUTINE lim_var_zapsmall 804 SUBROUTINE lim_var_itd 805 END SUBROUTINE lim_var_itd 550 806 #endif 551 807
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