Changeset 6316
- Timestamp:
- 2016-02-15T14:35:37+01:00 (8 years ago)
- Location:
- branches/2015/nemo_v3_6_STABLE/NEMOGCM
- Files:
-
- 9 edited
-
CONFIG/ORCA2_LIM3/EXP00/iodef.xml (modified) (1 diff)
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CONFIG/SHARED/field_def.xml (modified) (3 diffs)
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CONFIG/SHARED/namelist_ice_lim3_ref (modified) (1 diff)
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CONFIG/SHARED/namelist_ref (modified) (1 diff)
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NEMO/LIM_SRC_3/limsbc.F90 (modified) (3 diffs)
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NEMO/LIM_SRC_3/limthd_lac.F90 (modified) (11 diffs)
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NEMO/LIM_SRC_3/limwri.F90 (modified) (3 diffs)
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NEMO/OPA_SRC/SBC/albedo.F90 (modified) (7 diffs)
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NEMO/OPA_SRC/SBC/sbcice_lim.F90 (modified) (3 diffs)
Legend:
- Unmodified
- Added
- Removed
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branches/2015/nemo_v3_6_STABLE/NEMOGCM/CONFIG/ORCA2_LIM3/EXP00/iodef.xml
r5517 r6316 61 61 <file id="file2" name_suffix="_SBC" description="surface fluxes variables" > <!-- time step automaticaly defined based on nn_fsbc --> 62 62 <field field_ref="empmr" name="wfo" /> 63 <field field_ref="emp_oce" name="emp_oce" long_name="Evap minus Precip over ocean" /> 64 <field field_ref="emp_ice" name="emp_ice" long_name="Evap minus Precip over ice" /> 63 65 <field field_ref="qsr_oce" name="qsr_oce" /> 64 66 <field field_ref="qns_oce" name="qns_oce" /> -
branches/2015/nemo_v3_6_STABLE/NEMOGCM/CONFIG/SHARED/field_def.xml
r6315 r6316 174 174 <field_group id="SBC" grid_ref="grid_T_2D" > <!-- time step automaticaly defined based on nn_fsbc --> 175 175 <field id="empmr" long_name="Net Upward Water Flux" standard_name="water_flux_out_of_sea_ice_and_sea_water" unit="kg/m2/s" /> 176 <field id="emp_oce" long_name="Evap minus Precip over ocean" standard_name="evap_minus_precip_over_sea_water" unit="kg/m2/s" /> 177 <field id="emp_ice" long_name="Evap minus Precip over ice" standard_name="evap_minus_precip_over_sea_ice" unit="kg/m2/s" /> 176 178 <field id="saltflx" long_name="Downward salt flux" unit="1e-3/m2/s" /> 177 179 <field id="fmmflx" long_name="Water flux due to freezing/melting" unit="kg/m2/s" /> … … 274 276 <field id="micesalt" long_name="Mean ice salinity" unit="1e-3" /> 275 277 <field id="miceage" long_name="Mean ice age" unit="years" /> 278 <field id="alb_ice" long_name="Mean albedo over sea ice" unit="" /> 279 <field id="albedo" long_name="Mean albedo over sea ice and ocean" unit="" /> 276 280 277 281 <field id="iceage_cat" long_name="Ice age for categories" unit="days" axis_ref="ncatice" /> … … 324 328 <field id="vfxsub" long_name="snw sublimation" unit="m/day" /> 325 329 <field id="vfxspr" long_name="snw precipitation on ice" unit="m/day" /> 330 <field id="vfxthin" long_name="daily thermo ice prod. for thin ice(<20cm) + open water" unit="m/day" /> 326 331 327 332 <field id="afxtot" long_name="area tendency (total)" unit="day-1" /> -
branches/2015/nemo_v3_6_STABLE/NEMOGCM/CONFIG/SHARED/namelist_ice_lim3_ref
r6311 r6316 86 86 rn_hnewice = 0.1 ! thickness for new ice formation in open water (m) 87 87 ln_frazil = .false. ! use frazil ice collection thickness as a function of wind (T) or not (F) 88 rn_maxfrazb = 0.0 ! maximum fraction of frazil ice collecting at the ice base88 rn_maxfrazb = 1.0 ! maximum fraction of frazil ice collecting at the ice base 89 89 rn_vfrazb = 0.417 ! thresold drift speed for frazil ice collecting at the ice bottom (m/s) 90 90 rn_Cfrazb = 5.0 ! squeezing coefficient for frazil ice collecting at the ice bottom -
branches/2015/nemo_v3_6_STABLE/NEMOGCM/CONFIG/SHARED/namelist_ref
r6314 r6316 500 500 &namsbc_alb ! albedo parameters 501 501 !----------------------------------------------------------------------- 502 rn_cloud = 0.06 ! cloud correction to snow and ice albedo 503 rn_albice = 0.53 ! albedo of melting ice in the arctic and antarctic 504 rn_alphd = 0.80 ! coefficients for linear interpolation used to 505 rn_alphc = 0.65 ! compute albedo between two extremes values 506 rn_alphdi = 0.72 ! (Pyane, 1972) 502 nn_ice_alb = 1 ! parameterization of ice/snow albedo 503 ! 0: Shine & Henderson-Sellers (JGR 1985) 504 ! 1: "home made" based on Brandt et al. (J. Climate 2005) 505 ! and Grenfell & Perovich (JGR 2004) 506 rn_albice = 0.50 ! albedo of bare puddled ice (values from 0.49 to 0.58) 507 ! 0.53 (default) => if nn_ice_alb=0 508 ! 0.50 (default) => if nn_ice_alb=1 507 509 / 508 510 !----------------------------------------------------------------------- -
branches/2015/nemo_v3_6_STABLE/NEMOGCM/NEMO/LIM_SRC_3/limsbc.F90
r5407 r6316 94 94 !! - fr_i : ice fraction 95 95 !! - tn_ice : sea-ice surface temperature 96 !! - alb_ice : sea-ice albedo ( only useful incoupled mode)96 !! - alb_ice : sea-ice albedo (recomputed only for coupled mode) 97 97 !! 98 98 !! References : Goosse, H. et al. 1996, Bul. Soc. Roy. Sc. Liege, 65, 87-90. … … 106 106 REAL(wp) :: zqsr ! New solar flux received by the ocean 107 107 ! 108 REAL(wp), POINTER, DIMENSION(:,:,:) :: zalb_cs, zalb_os ! 2D/3D workspace 108 REAL(wp), POINTER, DIMENSION(:,:,:) :: zalb_cs, zalb_os ! 3D workspace 109 REAL(wp), POINTER, DIMENSION(:,:) :: zalb ! 2D workspace 109 110 !!--------------------------------------------------------------------- 110 111 111 112 ! make calls for heat fluxes before it is modified 113 ! pfrld is the lead fraction at the previous time step (actually between TRP and THD) 112 114 IF( iom_use('qsr_oce') ) CALL iom_put( "qsr_oce" , qsr_oce(:,:) * pfrld(:,:) ) ! solar flux at ocean surface 113 115 IF( iom_use('qns_oce') ) CALL iom_put( "qns_oce" , qns_oce(:,:) * pfrld(:,:) + qemp_oce(:,:) ) ! non-solar flux at ocean surface … … 118 120 IF( iom_use('qt_ice' ) ) CALL iom_put( "qt_ice" , SUM( ( qns_ice(:,:,:) + qsr_ice(:,:,:) ) & 119 121 & * a_i_b(:,:,:), dim=3 ) + qemp_ice(:,:) ) 120 IF( iom_use('qemp_oce' ) ) CALL iom_put( "qemp_oce" , qemp_oce(:,:) ) 121 IF( iom_use('qemp_ice' ) ) CALL iom_put( "qemp_ice" , qemp_ice(:,:) ) 122 123 ! pfrld is the lead fraction at the previous time step (actually between TRP and THD) 122 IF( iom_use('qemp_oce') ) CALL iom_put( "qemp_oce" , qemp_oce(:,:) ) 123 IF( iom_use('qemp_ice') ) CALL iom_put( "qemp_ice" , qemp_ice(:,:) ) 124 IF( iom_use('emp_oce' ) ) CALL iom_put( "emp_oce" , emp_oce(:,:) ) ! emp over ocean (taking into account the snow blown away from the ice) 125 IF( iom_use('emp_ice' ) ) CALL iom_put( "emp_ice" , emp_ice(:,:) ) ! emp over ice (taking into account the snow blown away from the ice) 126 127 ! clem 2016: albedo output 128 CALL wrk_alloc( jpi,jpj, zalb ) 129 130 zalb(:,:) = 0._wp 131 WHERE ( SUM( a_i_b, dim=3 ) <= epsi06 ) ; zalb(:,:) = 0.066_wp 132 ELSEWHERE ; zalb(:,:) = SUM( alb_ice * a_i_b, dim=3 ) / SUM( a_i_b, dim=3 ) 133 END WHERE 134 IF( iom_use('alb_ice' ) ) CALL iom_put( "alb_ice" , zalb(:,:) ) ! ice albedo output 135 136 zalb(:,:) = SUM( alb_ice * a_i_b, dim=3 ) + 0.066_wp * ( 1._wp - SUM( a_i_b, dim=3 ) ) 137 IF( iom_use('albedo' ) ) CALL iom_put( "albedo" , zalb(:,:) ) ! ice albedo output 138 139 CALL wrk_dealloc( jpi,jpj, zalb ) 140 ! 141 124 142 DO jj = 1, jpj 125 143 DO ji = 1, jpi -
branches/2015/nemo_v3_6_STABLE/NEMOGCM/NEMO/LIM_SRC_3/limthd_lac.F90
r6311 r6316 75 75 INTEGER :: ii, ij, iter ! - - 76 76 REAL(wp) :: ztmelts, zdv, zfrazb, zweight, zde ! local scalars 77 REAL(wp) :: zgamafr, zvfrx, zvgx, ztaux, ztwogp, zf , zhicol_new! - -77 REAL(wp) :: zgamafr, zvfrx, zvgx, ztaux, ztwogp, zf ! - - 78 78 REAL(wp) :: ztenagm, zvfry, zvgy, ztauy, zvrel2, zfp, zsqcd , zhicrit ! - - 79 LOGICAL :: iterate_frazil ! iterate frazil ice collection thickness80 79 CHARACTER (len = 15) :: fieldid 81 80 … … 108 107 REAL(wp), POINTER, DIMENSION(:,:) :: zsmv_i_1d ! 1-D version of smv_i 109 108 110 REAL(wp), POINTER, DIMENSION(:,:,:) :: ze_i_1d 111 112 REAL(wp), POINTER, DIMENSION(:,:) :: zvrel 113 114 REAL(wp) :: zcai = 1.4e-3_wp 109 REAL(wp), POINTER, DIMENSION(:,:,:) :: ze_i_1d !: 1-D version of e_i 110 111 REAL(wp), POINTER, DIMENSION(:,:) :: zvrel ! relative ice / frazil velocity 112 113 REAL(wp) :: zcai = 1.4e-3_wp ! ice-air drag (clem: should be dependent on coupling/forcing used) 115 114 !!-----------------------------------------------------------------------! 116 115 … … 143 142 !------------------------------------------------------------------------------! 144 143 ! hicol is the thickness of new ice formed in open water 145 ! hicol can be either prescribed (frazswi = 0) 146 ! or computed (frazswi = 1) 144 ! hicol can be either prescribed (frazswi = 0) or computed (frazswi = 1) 147 145 ! Frazil ice forms in open water, is transported by wind 148 146 ! accumulates at the edge of the consolidated ice edge … … 155 153 zvrel(:,:) = 0._wp 156 154 157 ! Default new ice thickness 158 hicol(:,:) = rn_hnewice 155 ! Default new ice thickness 156 WHERE( qlead(:,:) < 0._wp ) ; hicol = rn_hnewice 157 ELSEWHERE ; hicol = 0._wp 158 END WHERE 159 159 160 160 IF( ln_frazil ) THEN … … 182 182 & + vtau_ice(ji ,jj ) * vmask(ji ,jj ,1) ) * 0.5_wp 183 183 ! Square root of wind stress 184 ztenagm = SQRT( SQRT( ztaux **2 + ztauy**2) )184 ztenagm = SQRT( SQRT( ztaux * ztaux + ztauy * ztauy ) ) 185 185 186 186 !--------------------- … … 205 205 zvrel2 = MAX( ( zvfrx - zvgx ) * ( zvfrx - zvgx ) & 206 206 & + ( zvfry - zvgy ) * ( zvfry - zvgy ) , 0.15 * 0.15 ) 207 zvrel(ji,jj) 207 zvrel(ji,jj) = SQRT( zvrel2 ) 208 208 209 209 !--------------------- 210 210 ! Iterative procedure 211 211 !--------------------- 212 hicol(ji,jj) = zhicrit + 0.1 213 hicol(ji,jj) = zhicrit + hicol(ji,jj) & 214 & / ( hicol(ji,jj) * hicol(ji,jj) - zhicrit * zhicrit ) * ztwogp * zvrel2 215 216 !!gm better coding: above: hicol(ji,jj) * hicol(ji,jj) = (zhicrit + 0.1)*(zhicrit + 0.1) 217 !!gm = zhicrit**2 + 0.2*zhicrit +0.01 218 !!gm therefore the 2 lines with hicol can be replaced by 1 line: 219 !!gm hicol(ji,jj) = zhicrit + (zhicrit + 0.1) / ( 0.2 * zhicrit + 0.01 ) * ztwogp * zvrel2 220 !!gm further more (zhicrit + 0.1)/(0.2 * zhicrit + 0.01 )*ztwogp can be computed one for all outside the DO loop 212 hicol(ji,jj) = zhicrit + ( zhicrit + 0.1 ) & 213 & / ( ( zhicrit + 0.1 ) * ( zhicrit + 0.1 ) - zhicrit * zhicrit ) * ztwogp * zvrel2 221 214 222 215 iter = 1 223 iterate_frazil = .true. 224 225 DO WHILE ( iter < 100 .AND. iterate_frazil ) 226 zf = ( hicol(ji,jj) - zhicrit ) * ( hicol(ji,jj)**2 - zhicrit**2 ) & 227 - hicol(ji,jj) * zhicrit * ztwogp * zvrel2 228 zfp = ( hicol(ji,jj) - zhicrit ) * ( 3.0*hicol(ji,jj) + zhicrit ) & 229 - zhicrit * ztwogp * zvrel2 230 zhicol_new = hicol(ji,jj) - zf/zfp 231 hicol(ji,jj) = zhicol_new 232 216 DO WHILE ( iter < 20 ) 217 zf = ( hicol(ji,jj) - zhicrit ) * ( hicol(ji,jj) * hicol(ji,jj) - zhicrit * zhicrit ) - & 218 & hicol(ji,jj) * zhicrit * ztwogp * zvrel2 219 zfp = ( hicol(ji,jj) - zhicrit ) * ( 3.0 * hicol(ji,jj) + zhicrit ) - zhicrit * ztwogp * zvrel2 220 221 hicol(ji,jj) = hicol(ji,jj) - zf/zfp 233 222 iter = iter + 1 234 235 END DO ! do while 223 END DO 236 224 237 225 ENDIF ! end of selection of pixels where ice forms 238 226 239 END DO ! loop on ji ends240 END DO ! loop on jj ends241 !242 CALL lbc_lnk( zvrel(:,:), 'T', 1. )243 CALL lbc_lnk( hicol(:,:), 'T', 1. )227 END DO 228 END DO 229 ! 230 CALL lbc_lnk( zvrel(:,:), 'T', 1. ) 231 CALL lbc_lnk( hicol(:,:), 'T', 1. ) 244 232 245 233 ENDIF ! End of computation of frazil ice collection thickness … … 282 270 ! Move from 2-D to 1-D vectors 283 271 !------------------------------ 284 ! If ocean gains heat do nothing 285 ! 0therwise compute new ice formation 272 ! If ocean gains heat do nothing. Otherwise compute new ice formation 286 273 287 274 IF ( nbpac > 0 ) THEN … … 297 284 END DO 298 285 299 CALL tab_2d_1d( nbpac, qlead_1d (1:nbpac) , qlead , jpi, jpj, npac(1:nbpac) )300 CALL tab_2d_1d( nbpac, t_bo_1d (1:nbpac) , t_bo , jpi, jpj, npac(1:nbpac) )301 CALL tab_2d_1d( nbpac, sfx_opw_1d(1:nbpac) , sfx_opw , jpi, jpj, npac(1:nbpac) )302 CALL tab_2d_1d( nbpac, wfx_opw_1d(1:nbpac) , wfx_opw , jpi, jpj, npac(1:nbpac) )303 CALL tab_2d_1d( nbpac, hicol_1d (1:nbpac) , hicol , jpi, jpj, npac(1:nbpac) )304 CALL tab_2d_1d( nbpac, zvrel_1d (1:nbpac) , zvrel , jpi, jpj, npac(1:nbpac) )305 306 CALL tab_2d_1d( nbpac, hfx_thd_1d(1:nbpac) , hfx_thd , jpi, jpj, npac(1:nbpac) )307 CALL tab_2d_1d( nbpac, hfx_opw_1d(1:nbpac) , hfx_opw , jpi, jpj, npac(1:nbpac) )308 CALL tab_2d_1d( nbpac, rn_amax_1d(1:nbpac) , rn_amax_2d, jpi, jpj, npac(1:nbpac) )286 CALL tab_2d_1d( nbpac, qlead_1d (1:nbpac) , qlead , jpi, jpj, npac(1:nbpac) ) 287 CALL tab_2d_1d( nbpac, t_bo_1d (1:nbpac) , t_bo , jpi, jpj, npac(1:nbpac) ) 288 CALL tab_2d_1d( nbpac, sfx_opw_1d(1:nbpac) , sfx_opw , jpi, jpj, npac(1:nbpac) ) 289 CALL tab_2d_1d( nbpac, wfx_opw_1d(1:nbpac) , wfx_opw , jpi, jpj, npac(1:nbpac) ) 290 CALL tab_2d_1d( nbpac, hicol_1d (1:nbpac) , hicol , jpi, jpj, npac(1:nbpac) ) 291 CALL tab_2d_1d( nbpac, zvrel_1d (1:nbpac) , zvrel , jpi, jpj, npac(1:nbpac) ) 292 293 CALL tab_2d_1d( nbpac, hfx_thd_1d(1:nbpac) , hfx_thd , jpi, jpj, npac(1:nbpac) ) 294 CALL tab_2d_1d( nbpac, hfx_opw_1d(1:nbpac) , hfx_opw , jpi, jpj, npac(1:nbpac) ) 295 CALL tab_2d_1d( nbpac, rn_amax_1d(1:nbpac) , rn_amax_2d, jpi, jpj, npac(1:nbpac) ) 309 296 310 297 !------------------------------------------------------------------------------! … … 317 304 zv_b(1:nbpac,:) = zv_i_1d(1:nbpac,:) 318 305 za_b(1:nbpac,:) = za_i_1d(1:nbpac,:) 306 319 307 !---------------------- 320 308 ! Thickness of new ice 321 309 !---------------------- 322 DO ji = 1, nbpac 323 zh_newice(ji) = rn_hnewice 324 END DO 325 IF( ln_frazil ) zh_newice(1:nbpac) = hicol_1d(1:nbpac) 310 zh_newice(1:nbpac) = hicol_1d(1:nbpac) 326 311 327 312 !---------------------- … … 385 370 ! salt flux 386 371 sfx_opw_1d(ji) = sfx_opw_1d(ji) - zv_newice(ji) * rhoic * zs_newice(ji) * r1_rdtice 387 372 END DO 373 374 zv_frazb(:) = 0._wp 375 IF( ln_frazil ) THEN 388 376 ! A fraction zfrazb of frazil ice is accreted at the ice bottom 389 rswitch = 1._wp - MAX( 0._wp, SIGN( 1._wp , - zat_i_1d(ji) ) ) 390 zfrazb = rswitch * ( TANH ( rn_Cfrazb * ( zvrel_1d(ji) - rn_vfrazb ) ) + 1.0 ) * 0.5 * rn_maxfrazb 391 zv_frazb(ji) = zfrazb * zv_newice(ji) 392 zv_newice(ji) = ( 1.0 - zfrazb ) * zv_newice(ji) 393 END DO 394 377 DO ji = 1, nbpac 378 rswitch = 1._wp - MAX( 0._wp, SIGN( 1._wp , - zat_i_1d(ji) ) ) 379 zfrazb = rswitch * ( TANH( rn_Cfrazb * ( zvrel_1d(ji) - rn_vfrazb ) ) + 1.0 ) * 0.5 * rn_maxfrazb 380 zv_frazb(ji) = zfrazb * zv_newice(ji) 381 zv_newice(ji) = ( 1.0 - zfrazb ) * zv_newice(ji) 382 END DO 383 END IF 384 395 385 !----------------- 396 386 ! Area of new ice … … 444 434 jl = jcat(ji) 445 435 rswitch = MAX( 0._wp, SIGN( 1._wp , zv_i_1d(ji,jl) - epsi20 ) ) 446 ze_i_1d(ji,jk,jl) = zswinew(ji) * ze_newice(ji) + 436 ze_i_1d(ji,jk,jl) = zswinew(ji) * ze_newice(ji) + & 447 437 & ( 1.0 - zswinew(ji) ) * ( ze_newice(ji) * zv_newice(ji) + ze_i_1d(ji,jk,jl) * zv_b(ji,jl) ) & 448 438 & * rswitch / MAX( zv_i_1d(ji,jl), epsi20 ) -
branches/2015/nemo_v3_6_STABLE/NEMOGCM/NEMO/LIM_SRC_3/limwri.F90
r5517 r6316 157 157 ENDIF 158 158 159 IF ( iom_use( "icecolf" ) ) THEN 160 DO jj = 1, jpj 161 DO ji = 1, jpi 162 rswitch = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) ) ) 163 z2d(ji,jj) = hicol(ji,jj) * rswitch 164 END DO 165 END DO 166 CALL iom_put( "icecolf" , z2d ) ! frazil ice collection thickness 167 ENDIF 159 IF ( iom_use( "icecolf" ) ) CALL iom_put( "icecolf", hicol ) ! frazil ice collection thickness 168 160 169 161 CALL iom_put( "isst" , sst_m ) ! sea surface temperature … … 235 227 CALL iom_put ('hfxdhc' , diag_heat(:,:) ) ! Heat content variation in snow and ice 236 228 CALL iom_put ('hfxspr' , hfx_spr(:,:) ) ! Heat content of snow precip 229 230 231 IF ( iom_use( "vfxthin" ) ) THEN ! ice production for open water + thin ice (<20cm) => comparable to observations 232 DO jj = 1, jpj 233 DO ji = 1, jpi 234 z2d(ji,jj) = vt_i(ji,jj) / MAX( at_i(ji,jj), epsi06 ) * zswi(ji,jj) ! mean ice thickness 235 END DO 236 END DO 237 WHERE( z2d(:,:) < 0.2 .AND. z2d(:,:) > 0. ) ; z2da = wfx_bog 238 ELSEWHERE ; z2da = 0._wp 239 END WHERE 240 CALL iom_put( "vfxthin", ( wfx_opw + z2da ) * ztmp ) 241 ENDIF 237 242 238 243 !-------------------------------- … … 311 316 !! 312 317 !! History : 313 !! 4. 1! 2013-06 (C. Rousset)318 !! 4.0 ! 2013-06 (C. Rousset) 314 319 !!---------------------------------------------------------------------- 315 320 INTEGER, INTENT( in ) :: kt ! ocean time-step index) -
branches/2015/nemo_v3_6_STABLE/NEMOGCM/NEMO/OPA_SRC/SBC/albedo.F90
r4624 r6316 9 9 !! - ! 2001-06 (M. Vancoppenolle) LIM 3.0 10 10 !! - ! 2006-08 (G. Madec) cleaning for surface module 11 !! 3.6 ! 2016-01 (C. Rousset) new parameterization for sea ice albedo 11 12 !!---------------------------------------------------------------------- 12 13 … … 29 30 30 31 INTEGER :: albd_init = 0 !: control flag for initialization 31 REAL(wp) :: zzero = 0.e0 ! constant values 32 REAL(wp) :: zone = 1.e0 ! " " 33 34 REAL(wp) :: c1 = 0.05 ! constants values 35 REAL(wp) :: c2 = 0.10 ! " " 36 REAL(wp) :: rmue = 0.40 ! cosine of local solar altitude 37 32 38 33 ! !!* namelist namsbc_alb 39 REAL(wp) :: rn_cloud ! cloudiness effect on snow or ice albedo (Grenfell & Perovich, 1984) 40 #if defined key_lim3 41 REAL(wp) :: rn_albice ! albedo of melting ice in the arctic and antarctic (Shine & Hendersson-Sellers) 42 #else 43 REAL(wp) :: rn_albice ! albedo of melting ice in the arctic and antarctic (Shine & Hendersson-Sellers) 44 #endif 45 REAL(wp) :: rn_alphd ! coefficients for linear interpolation used to compute 46 REAL(wp) :: rn_alphdi ! albedo between two extremes values (Pyane, 1972) 47 REAL(wp) :: rn_alphc ! 34 INTEGER :: nn_ice_alb 35 REAL(wp) :: rn_albice 48 36 49 37 !!---------------------------------------------------------------------- … … 59 47 !! 60 48 !! ** Purpose : Computation of the albedo of the snow/ice system 61 !! as well as the ocean one62 49 !! 63 !! ** Method : - Computation of the albedo of snow or ice (choose the 64 !! rignt one by a large number of tests 65 !! - Computation of the albedo of the ocean 66 !! 67 !! References : Shine and Hendersson-Sellers 1985, JGR, 90(D1), 2243-2250. 50 !! ** Method : Two schemes are available (from namelist parameter nn_ice_alb) 51 !! 0: the scheme is that of Shine & Henderson-Sellers (JGR 1985) for clear-skies 52 !! 1: the scheme is "home made" (for cloudy skies) and based on Brandt et al. (J. Climate 2005) 53 !! and Grenfell & Perovich (JGR 2004) 54 !! Description of scheme 1: 55 !! 1) Albedo dependency on ice thickness follows the findings from Brandt et al (2005) 56 !! which are an update of Allison et al. (JGR 1993) ; Brandt et al. 1999 57 !! 0-5cm : linear function of ice thickness 58 !! 5-150cm: log function of ice thickness 59 !! > 150cm: constant 60 !! 2) Albedo dependency on snow thickness follows the findings from Grenfell & Perovich (2004) 61 !! i.e. it increases as -EXP(-snw_thick/0.02) during freezing and -EXP(-snw_thick/0.03) during melting 62 !! 3) Albedo dependency on clouds is speculated from measurements of Grenfell and Perovich (2004) 63 !! i.e. cloudy-clear albedo depend on cloudy albedo following a 2d order polynomial law 64 !! 4) The needed 4 parameters are: dry and melting snow, freezing ice and bare puddled ice 65 !! 66 !! ** Note : The parameterization from Shine & Henderson-Sellers presents several misconstructions: 67 !! 1) ice albedo when ice thick. tends to 0 is different than ocean albedo 68 !! 2) for small ice thick. covered with some snow (<3cm?), albedo is larger 69 !! under melting conditions than under freezing conditions 70 !! 3) the evolution of ice albedo as a function of ice thickness shows 71 !! 3 sharp inflexion points (at 5cm, 100cm and 150cm) that look highly unrealistic 72 !! 73 !! References : Shine & Henderson-Sellers 1985, JGR, 90(D1), 2243-2250. 74 !! Brandt et al. 2005, J. Climate, vol 18 75 !! Grenfell & Perovich 2004, JGR, vol 109 68 76 !!---------------------------------------------------------------------- 69 77 REAL(wp), INTENT(in ), DIMENSION(:,:,:) :: pt_ice ! ice surface temperature (Kelvin) … … 73 81 REAL(wp), INTENT( out), DIMENSION(:,:,:) :: pa_ice_os ! albedo of ice under overcast sky 74 82 !! 75 INTEGER :: ji, jj, jl ! dummy loop indices 76 INTEGER :: ijpl ! number of ice categories (3rd dim of ice input arrays) 77 REAL(wp) :: zalbpsnm ! albedo of ice under clear sky when snow is melting 78 REAL(wp) :: zalbpsnf ! albedo of ice under clear sky when snow is freezing 79 REAL(wp) :: zalbpsn ! albedo of snow/ice system when ice is coverd by snow 80 REAL(wp) :: zalbpic ! albedo of snow/ice system when ice is free of snow 81 REAL(wp) :: zithsn ! = 1 for hsn >= 0 ( ice is cov. by snow ) ; = 0 otherwise (ice is free of snow) 82 REAL(wp) :: zitmlsn ! = 1 freezinz snow (pt_ice >=rt0_snow) ; = 0 melting snow (pt_ice<rt0_snow) 83 REAL(wp) :: zihsc1 ! = 1 hsn <= c1 ; = 0 hsn > c1 84 REAL(wp) :: zihsc2 ! = 1 hsn >= c2 ; = 0 hsn < c2 85 !! 86 REAL(wp), POINTER, DIMENSION(:,:,:) :: zalbfz ! = rn_alphdi for freezing ice ; = rn_albice for melting ice 87 REAL(wp), POINTER, DIMENSION(:,:,:) :: zficeth ! function of ice thickness 83 INTEGER :: ji, jj, jl ! dummy loop indices 84 INTEGER :: ijpl ! number of ice categories (3rd dim of ice input arrays) 85 REAL(wp), PARAMETER :: ralb_oce = 0.066 ! ocean or lead albedo (Pegau and Paulson, Ann. Glac. 2001) 86 REAL(wp), PARAMETER :: c1 = 0.05 ! snow thickness (only for nn_ice_alb=0) 87 REAL(wp), PARAMETER :: c2 = 0.10 ! " " 88 REAL(wp), PARAMETER :: rcloud = 0.06 ! cloud effect on albedo (only for nn_ice_alb=0) 89 REAL(wp) :: ralb_im, ralb_sf, ralb_sm, ralb_if 90 REAL(wp) :: zswitch, z1_c1, z1_c2 91 REAL(wp) :: zalb_sm, zalb_sf, zalb_st ! albedo of snow melting, freezing, total 92 REAL(wp), POINTER, DIMENSION(:,:,:) :: zalb, zalb_it ! intermediate variable & albedo of ice (snow free) 88 93 !!--------------------------------------------------------------------- 89 94 90 95 ijpl = SIZE( pt_ice, 3 ) ! number of ice categories 91 92 CALL wrk_alloc( jpi,jpj,ijpl, zalb fz, zficeth)96 97 CALL wrk_alloc( jpi,jpj,ijpl, zalb, zalb_it ) 93 98 94 99 IF( albd_init == 0 ) CALL albedo_init ! initialization 95 100 96 !--------------------------- 97 ! Computation of zficeth 98 !--------------------------- 99 ! ice free of snow and melts 100 WHERE ( ph_snw == 0._wp .AND. pt_ice >= rt0_ice ) ; zalbfz(:,:,:) = rn_albice 101 ELSE WHERE ; zalbfz(:,:,:) = rn_alphdi 102 END WHERE 103 104 WHERE ( 1.5 < ph_ice ) ; zficeth = zalbfz 105 ELSE WHERE( 1.0 < ph_ice .AND. ph_ice <= 1.5 ) ; zficeth = 0.472 + 2.0 * ( zalbfz - 0.472 ) * ( ph_ice - 1.0 ) 106 ELSE WHERE( 0.05 < ph_ice .AND. ph_ice <= 1.0 ) ; zficeth = 0.2467 + 0.7049 * ph_ice & 107 & - 0.8608 * ph_ice * ph_ice & 108 & + 0.3812 * ph_ice * ph_ice * ph_ice 109 ELSE WHERE ; zficeth = 0.1 + 3.6 * ph_ice 110 END WHERE 111 112 !!gm old code 113 ! DO jl = 1, ijpl 114 ! DO jj = 1, jpj 115 ! DO ji = 1, jpi 116 ! IF( ph_ice(ji,jj,jl) > 1.5 ) THEN 117 ! zficeth(ji,jj,jl) = zalbfz(ji,jj,jl) 118 ! ELSEIF( ph_ice(ji,jj,jl) > 1.0 .AND. ph_ice(ji,jj,jl) <= 1.5 ) THEN 119 ! zficeth(ji,jj,jl) = 0.472 + 2.0 * ( zalbfz(ji,jj,jl) - 0.472 ) * ( ph_ice(ji,jj,jl) - 1.0 ) 120 ! ELSEIF( ph_ice(ji,jj,jl) > 0.05 .AND. ph_ice(ji,jj,jl) <= 1.0 ) THEN 121 ! zficeth(ji,jj,jl) = 0.2467 + 0.7049 * ph_ice(ji,jj,jl) & 122 ! & - 0.8608 * ph_ice(ji,jj,jl) * ph_ice(ji,jj,jl) & 123 ! & + 0.3812 * ph_ice(ji,jj,jl) * ph_ice(ji,jj,jl) * ph_ice (ji,jj,jl) 124 ! ELSE 125 ! zficeth(ji,jj,jl) = 0.1 + 3.6 * ph_ice(ji,jj,jl) 126 ! ENDIF 127 ! END DO 128 ! END DO 129 ! END DO 130 !!gm end old code 131 132 !----------------------------------------------- 133 ! Computation of the snow/ice albedo system 134 !-------------------------- --------------------- 135 136 ! Albedo of snow-ice for clear sky. 137 !----------------------------------------------- 138 DO jl = 1, ijpl 139 DO jj = 1, jpj 140 DO ji = 1, jpi 141 ! Case of ice covered by snow. 142 ! ! freezing snow 143 zihsc1 = 1.0 - MAX( zzero , SIGN( zone , - ( ph_snw(ji,jj,jl) - c1 ) ) ) 144 zalbpsnf = ( 1.0 - zihsc1 ) * ( zficeth(ji,jj,jl) & 145 & + ph_snw(ji,jj,jl) * ( rn_alphd - zficeth(ji,jj,jl) ) / c1 ) & 146 & + zihsc1 * rn_alphd 147 ! ! melting snow 148 zihsc2 = MAX( zzero , SIGN( zone , ph_snw(ji,jj,jl) - c2 ) ) 149 zalbpsnm = ( 1.0 - zihsc2 ) * ( rn_albice + ph_snw(ji,jj,jl) * ( rn_alphc - rn_albice ) / c2 ) & 150 & + zihsc2 * rn_alphc 151 ! 152 zitmlsn = MAX( zzero , SIGN( zone , pt_ice(ji,jj,jl) - rt0_snow ) ) 153 zalbpsn = zitmlsn * zalbpsnm + ( 1.0 - zitmlsn ) * zalbpsnf 154 155 ! Case of ice free of snow. 156 zalbpic = zficeth(ji,jj,jl) 157 158 ! albedo of the system 159 zithsn = 1.0 - MAX( zzero , SIGN( zone , - ph_snw(ji,jj,jl) ) ) 160 pa_ice_cs(ji,jj,jl) = zithsn * zalbpsn + ( 1.0 - zithsn ) * zalbpic 101 102 SELECT CASE ( nn_ice_alb ) 103 104 !------------------------------------------ 105 ! Shine and Henderson-Sellers (1985) 106 !------------------------------------------ 107 CASE( 0 ) 108 109 ralb_sf = 0.80 ! dry snow 110 ralb_sm = 0.65 ! melting snow 111 ralb_if = 0.72 ! bare frozen ice 112 ralb_im = rn_albice ! bare puddled ice 113 114 ! Computation of ice albedo (free of snow) 115 WHERE ( ph_snw == 0._wp .AND. pt_ice >= rt0_ice ) ; zalb(:,:,:) = ralb_im 116 ELSE WHERE ; zalb(:,:,:) = ralb_if 117 END WHERE 118 119 WHERE ( 1.5 < ph_ice ) ; zalb_it = zalb 120 ELSE WHERE( 1.0 < ph_ice .AND. ph_ice <= 1.5 ) ; zalb_it = 0.472 + 2.0 * ( zalb - 0.472 ) * ( ph_ice - 1.0 ) 121 ELSE WHERE( 0.05 < ph_ice .AND. ph_ice <= 1.0 ) ; zalb_it = 0.2467 + 0.7049 * ph_ice & 122 & - 0.8608 * ph_ice * ph_ice & 123 & + 0.3812 * ph_ice * ph_ice * ph_ice 124 ELSE WHERE ; zalb_it = 0.1 + 3.6 * ph_ice 125 END WHERE 126 127 z1_c1 = 1. / c1 128 z1_c2 = 1. / c2 129 ! Computation of the snow/ice albedo 130 DO jl = 1, ijpl 131 DO jj = 1, jpj 132 DO ji = 1, jpi 133 ! freezing snow 134 ! no effect of underlying ice layer IF snow thickness > c1. Albedo does not depend on snow thick if > c2 135 zswitch = MAX( 0._wp , SIGN( 1._wp , ph_snw(ji,jj,jl) - c1 ) ) 136 zalb_sf = ( 1._wp - zswitch ) * ( zalb_it(ji,jj,jl) + ph_snw(ji,jj,jl) & 137 & * ( ralb_sf - zalb_it(ji,jj,jl) ) * z1_c1 ) & 138 & + zswitch * ralb_sf 139 140 ! melting snow 141 ! no effect of underlying ice layer. Albedo does not depend on snow thick IF > c2 142 zswitch = MAX( 0._wp , SIGN( 1._wp , ph_snw(ji,jj,jl) - c2 ) ) 143 zalb_sm = ( 1._wp - zswitch ) * ( ralb_im + ph_snw(ji,jj,jl) & 144 & * ( ralb_sm - ralb_im ) * z1_c2 ) & 145 & + zswitch * ralb_sm 146 147 ! snow albedo 148 zswitch = MAX( 0._wp , SIGN( 1._wp , pt_ice(ji,jj,jl) - rt0_snow ) ) 149 zalb_st = zswitch * zalb_sm + ( 1.0 - zswitch ) * zalb_sf 150 151 ! Ice/snow albedo 152 zswitch = MAX( 0._wp , SIGN( 1._wp , - ph_snw(ji,jj,jl) ) ) 153 pa_ice_cs(ji,jj,jl) = ( 1._wp - zswitch ) * zalb_st + zswitch * zalb_it(ji,jj,jl) 154 END DO 161 155 END DO 162 156 END DO 163 END DO 164 165 ! Albedo of snow-ice for overcast sky. 166 !---------------------------------------------- 167 pa_ice_os(:,:,:) = pa_ice_cs(:,:,:) + rn_cloud ! Oberhuber correction 168 ! 169 CALL wrk_dealloc( jpi,jpj,ijpl, zalbfz, zficeth ) 157 pa_ice_os(:,:,:) = pa_ice_cs(:,:,:) + rcloud ! Oberhuber correction for overcast sky 158 159 !------------------------------------------ 160 ! New parameterization (2016) 161 !------------------------------------------ 162 CASE( 1 ) 163 164 ralb_im = rn_albice ! bare puddled ice 165 ! compilation of values from literature 166 ralb_sf = 0.85 ! dry snow 167 ralb_sm = 0.75 ! melting snow 168 ralb_if = 0.60 ! bare frozen ice 169 ! Perovich et al 2002 (Sheba) => the only dataset for which all types of ice/snow were retrieved 170 ! ralb_sf = 0.85 ! dry snow 171 ! ralb_sm = 0.72 ! melting snow 172 ! ralb_if = 0.65 ! bare frozen ice 173 ! Brandt et al 2005 (East Antarctica) 174 ! ralb_sf = 0.87 ! dry snow 175 ! ralb_sm = 0.82 ! melting snow 176 ! ralb_if = 0.54 ! bare frozen ice 177 ! 178 ! Computation of ice albedo (free of snow) 179 z1_c1 = 1. / ( LOG(1.5) - LOG(0.05) ) 180 z1_c2 = 1. / 0.05 181 WHERE ( ph_snw == 0._wp .AND. pt_ice >= rt0_ice ) ; zalb = ralb_im 182 ELSE WHERE ; zalb = ralb_if 183 END WHERE 184 185 WHERE ( 1.5 < ph_ice ) ; zalb_it = zalb 186 ELSE WHERE( 0.05 < ph_ice .AND. ph_ice <= 1.5 ) ; zalb_it = zalb + ( 0.18 - zalb ) * z1_c1 * & 187 & ( LOG(1.5) - LOG(ph_ice) ) 188 ELSE WHERE ; zalb_it = ralb_oce + ( 0.18 - ralb_oce ) * z1_c2 * ph_ice 189 END WHERE 190 191 z1_c1 = 1. / 0.02 192 z1_c2 = 1. / 0.03 193 ! Computation of the snow/ice albedo 194 DO jl = 1, ijpl 195 DO jj = 1, jpj 196 DO ji = 1, jpi 197 zalb_sf = ralb_sf - ( ralb_sf - zalb_it(ji,jj,jl)) * EXP( - ph_snw(ji,jj,jl) * z1_c1 ); 198 zalb_sm = ralb_sm - ( ralb_sm - zalb_it(ji,jj,jl)) * EXP( - ph_snw(ji,jj,jl) * z1_c2 ); 199 200 ! snow albedo 201 zswitch = MAX( 0._wp , SIGN( 1._wp , pt_ice(ji,jj,jl) - rt0_snow ) ) 202 zalb_st = zswitch * zalb_sm + ( 1._wp - zswitch ) * zalb_sf 203 204 ! Ice/snow albedo 205 zswitch = MAX( 0._wp , SIGN( 1._wp , - ph_snw(ji,jj,jl) ) ) 206 pa_ice_os(ji,jj,jl) = ( 1._wp - zswitch ) * zalb_st + zswitch * zalb_it(ji,jj,jl) 207 208 END DO 209 END DO 210 END DO 211 ! Effect of the clouds (2d order polynomial) 212 pa_ice_cs = pa_ice_os - ( - 0.1010 * pa_ice_os * pa_ice_os + 0.1933 * pa_ice_os - 0.0148 ); 213 214 END SELECT 215 216 CALL wrk_dealloc( jpi,jpj,ijpl, zalb, zalb_it ) 170 217 ! 171 218 END SUBROUTINE albedo_ice … … 181 228 REAL(wp), DIMENSION(:,:), INTENT(out) :: pa_oce_cs ! albedo of ocean under clear sky 182 229 !! 183 REAL(wp) :: zcoef ! local scalar 184 !!---------------------------------------------------------------------- 185 ! 186 zcoef = 0.05 / ( 1.1 * rmue**1.4 + 0.15 ) ! Parameterization of Briegled and Ramanathan, 1982 187 pa_oce_cs(:,:) = zcoef 188 pa_oce_os(:,:) = 0.06 ! Parameterization of Kondratyev, 1969 and Payne, 1972 230 REAL(wp) :: rmue = 0.40 ! cosine of local solar altitude 231 !!---------------------------------------------------------------------- 232 ! 233 pa_oce_cs(:,:) = 0.05 / ( 1.1 * rmue**1.4 + 0.15 ) ! Parameterization of Briegled and Ramanathan, 1982 234 pa_oce_os(:,:) = 0.06 ! Parameterization of Kondratyev, 1969 and Payne, 1972 189 235 ! 190 236 END SUBROUTINE albedo_oce … … 200 246 !!---------------------------------------------------------------------- 201 247 INTEGER :: ios ! Local integer output status for namelist read 202 NAMELIST/namsbc_alb/ rn_cloud, rn_albice, rn_alphd, rn_alphdi, rn_alphc248 NAMELIST/namsbc_alb/ nn_ice_alb, rn_albice 203 249 !!---------------------------------------------------------------------- 204 250 ! … … 219 265 WRITE(numout,*) '~~~~~~~' 220 266 WRITE(numout,*) ' Namelist namsbc_alb : albedo ' 221 WRITE(numout,*) ' correction for snow and ice albedo rn_cloud = ', rn_cloud 222 WRITE(numout,*) ' albedo of melting ice in the arctic and antarctic rn_albice = ', rn_albice 223 WRITE(numout,*) ' coefficients for linear rn_alphd = ', rn_alphd 224 WRITE(numout,*) ' interpolation used to compute albedo rn_alphdi = ', rn_alphdi 225 WRITE(numout,*) ' between two extremes values (Pyane, 1972) rn_alphc = ', rn_alphc 267 WRITE(numout,*) ' choose the albedo parameterization nn_ice_alb = ', nn_ice_alb 268 WRITE(numout,*) ' albedo of bare puddled ice rn_albice = ', rn_albice 226 269 ENDIF 227 270 ! -
branches/2015/nemo_v3_6_STABLE/NEMOGCM/NEMO/OPA_SRC/SBC/sbcice_lim.F90
r6311 r6316 110 110 INTEGER :: jl ! dummy loop index 111 111 REAL(wp), POINTER, DIMENSION(:,:,:) :: zalb_os, zalb_cs ! ice albedo under overcast/clear sky 112 REAL(wp), POINTER, DIMENSION(:,:,:) :: zalb_ice ! mean ice albedo (for coupled)113 112 REAL(wp), POINTER, DIMENSION(:,: ) :: zutau_ice, zvtau_ice 114 113 !!---------------------------------------------------------------------- … … 197 196 ! fr1_i0 , fr2_i0 : 1sr & 2nd fraction of qsr penetration in ice [%] 198 197 !---------------------------------------------------------------------------------------- 199 CALL wrk_alloc( jpi,jpj,jpl, zalb_os, zalb_cs , zalb_ice)198 CALL wrk_alloc( jpi,jpj,jpl, zalb_os, zalb_cs ) 200 199 CALL albedo_ice( t_su, ht_i, ht_s, zalb_cs, zalb_os ) ! cloud-sky and overcast-sky ice albedos 201 200 … … 203 202 CASE( jp_clio ) ! CLIO bulk formulation 204 203 ! In CLIO the cloud fraction is read in the climatology and the all-sky albedo 205 ! ( zalb_ice) is computed within the bulk routine206 CALL blk_ice_clio_flx( t_su, zalb_cs, zalb_os, zalb_ice )207 IF( ln_mixcpl ) CALL sbc_cpl_ice_flx( p_frld=pfrld, palbi= zalb_ice, psst=sst_m, pist=t_su )208 IF( nn_limflx /= 2 ) CALL ice_lim_flx( t_su, zalb_ice, qns_ice, qsr_ice, dqns_ice, evap_ice, devap_ice, nn_limflx )204 ! (alb_ice) is computed within the bulk routine 205 CALL blk_ice_clio_flx( t_su, zalb_cs, zalb_os, alb_ice ) 206 IF( ln_mixcpl ) CALL sbc_cpl_ice_flx( p_frld=pfrld, palbi=alb_ice, psst=sst_m, pist=t_su ) 207 IF( nn_limflx /= 2 ) CALL ice_lim_flx( t_su, alb_ice, qns_ice, qsr_ice, dqns_ice, evap_ice, devap_ice, nn_limflx ) 209 208 CASE( jp_core ) ! CORE bulk formulation 210 209 ! albedo depends on cloud fraction because of non-linear spectral effects 211 zalb_ice(:,:,:) = ( 1. - cldf_ice ) * zalb_cs(:,:,:) + cldf_ice * zalb_os(:,:,:)212 CALL blk_ice_core_flx( t_su, zalb_ice )213 IF( ln_mixcpl ) CALL sbc_cpl_ice_flx( p_frld=pfrld, palbi= zalb_ice, psst=sst_m, pist=t_su )214 IF( nn_limflx /= 2 ) CALL ice_lim_flx( t_su, zalb_ice, qns_ice, qsr_ice, dqns_ice, evap_ice, devap_ice, nn_limflx )210 alb_ice(:,:,:) = ( 1. - cldf_ice ) * zalb_cs(:,:,:) + cldf_ice * zalb_os(:,:,:) 211 CALL blk_ice_core_flx( t_su, alb_ice ) 212 IF( ln_mixcpl ) CALL sbc_cpl_ice_flx( p_frld=pfrld, palbi=alb_ice, psst=sst_m, pist=t_su ) 213 IF( nn_limflx /= 2 ) CALL ice_lim_flx( t_su, alb_ice, qns_ice, qsr_ice, dqns_ice, evap_ice, devap_ice, nn_limflx ) 215 214 CASE ( jp_purecpl ) 216 215 ! albedo depends on cloud fraction because of non-linear spectral effects 217 zalb_ice(:,:,:) = ( 1. - cldf_ice ) * zalb_cs(:,:,:) + cldf_ice * zalb_os(:,:,:)218 CALL sbc_cpl_ice_flx( p_frld=pfrld, palbi= zalb_ice, psst=sst_m, pist=t_su )216 alb_ice(:,:,:) = ( 1. - cldf_ice ) * zalb_cs(:,:,:) + cldf_ice * zalb_os(:,:,:) 217 CALL sbc_cpl_ice_flx( p_frld=pfrld, palbi=alb_ice, psst=sst_m, pist=t_su ) 219 218 ! clem: evap_ice is forced to 0 in coupled mode for now 220 219 ! but it needs to be changed (along with modif in limthd_dh) once heat flux from evap will be avail. from atm. models 221 220 evap_ice (:,:,:) = 0._wp ; devap_ice (:,:,:) = 0._wp 222 IF( nn_limflx == 2 ) CALL ice_lim_flx( t_su, zalb_ice, qns_ice, qsr_ice, dqns_ice, evap_ice, devap_ice, nn_limflx )221 IF( nn_limflx == 2 ) CALL ice_lim_flx( t_su, alb_ice, qns_ice, qsr_ice, dqns_ice, evap_ice, devap_ice, nn_limflx ) 223 222 END SELECT 224 CALL wrk_dealloc( jpi,jpj,jpl, zalb_os, zalb_cs , zalb_ice)223 CALL wrk_dealloc( jpi,jpj,jpl, zalb_os, zalb_cs ) 225 224 226 225 !----------------------------!
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