Changeset 5313 for branches/2014/dev_r4650_UKMO11_restart_functionality/NEMOGCM/NEMO/LIM_SRC_3/limthd_dh.F90
- Timestamp:
- 2015-05-29T11:46:03+02:00 (9 years ago)
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branches/2014/dev_r4650_UKMO11_restart_functionality/NEMOGCM/NEMO/LIM_SRC_3/limthd_dh.F90
r5312 r5313 20 20 USE sbc_oce ! Surface boundary condition: ocean fields 21 21 USE ice ! LIM variables 22 USE par_ice ! LIM parameters23 22 USE thd_ice ! LIM thermodynamics 24 23 USE in_out_manager ! I/O manager … … 70 69 71 70 REAL(wp) :: ztmelts ! local scalar 72 REAL(wp) :: z dh, zfdum !71 REAL(wp) :: zfdum 73 72 REAL(wp) :: zfracs ! fractionation coefficient for bottom salt entrapment 74 73 REAL(wp) :: zcoeff ! dummy argument for snowfall partitioning over ice and leads … … 87 86 REAL(wp) :: zsstK ! SST in Kelvin 88 87 89 REAL(wp), POINTER, DIMENSION(:) :: zh_s ! snow layer thickness90 88 REAL(wp), POINTER, DIMENSION(:) :: zqprec ! energy of fallen snow (J.m-3) 91 89 REAL(wp), POINTER, DIMENSION(:) :: zq_su ! heat for surface ablation (J.m-2) 92 90 REAL(wp), POINTER, DIMENSION(:) :: zq_bo ! heat for bottom ablation (J.m-2) 93 REAL(wp), POINTER, DIMENSION(:) :: zq_1cat ! corrected heat in case 1-cat and hmelt>15cm (J.m-2)94 91 REAL(wp), POINTER, DIMENSION(:) :: zq_rema ! remaining heat at the end of the routine (J.m-2) 95 REAL(wp), POINTER, DIMENSION(:) :: zf_tt ! Heat budget to determine melting or freezing(W.m-2) 96 INTEGER , POINTER, DIMENSION(:) :: icount ! number of layers vanished by melting 92 REAL(wp), POINTER, DIMENSION(:) :: zf_tt ! Heat budget to determine melting or freezing(W.m-2) 97 93 98 94 REAL(wp), POINTER, DIMENSION(:) :: zdh_s_mel ! snow melt … … 102 98 REAL(wp), POINTER, DIMENSION(:,:) :: zdeltah 103 99 REAL(wp), POINTER, DIMENSION(:,:) :: zh_i ! ice layer thickness 100 INTEGER , POINTER, DIMENSION(:,:) :: icount ! number of layers vanished by melting 104 101 105 102 REAL(wp), POINTER, DIMENSION(:) :: zqh_i ! total ice heat content (J.m-2) … … 107 104 REAL(wp), POINTER, DIMENSION(:) :: zq_s ! total snow enthalpy (J.m-3) 108 105 109 ! mass and salt flux (clem) 110 REAL(wp) :: zdvres, zswitch_sal 106 REAL(wp) :: zswitch_sal 111 107 112 108 ! Heat conservation … … 115 111 !!------------------------------------------------------------------ 116 112 117 ! Discriminate between varying salinity (n um_sal=2) and prescribed cases (other values)118 SELECT CASE( n um_sal ) ! varying salinity or not113 ! Discriminate between varying salinity (nn_icesal=2) and prescribed cases (other values) 114 SELECT CASE( nn_icesal ) ! varying salinity or not 119 115 CASE( 1, 3, 4 ) ; zswitch_sal = 0 ! prescribed salinity profile 120 116 CASE( 2 ) ; zswitch_sal = 1 ! varying salinity profile 121 117 END SELECT 122 118 123 CALL wrk_alloc( jpij, z h_s, zqprec, zq_su, zq_bo, zf_tt, zq_1cat, zq_rema )119 CALL wrk_alloc( jpij, zqprec, zq_su, zq_bo, zf_tt, zq_rema ) 124 120 CALL wrk_alloc( jpij, zdh_s_mel, zdh_s_pre, zdh_s_sub, zqh_i, zqh_s, zq_s ) 125 CALL wrk_alloc( jpij, nlay_i +1, zdeltah, zh_i )126 CALL wrk_alloc( jpij, icount )121 CALL wrk_alloc( jpij, nlay_i, zdeltah, zh_i ) 122 CALL wrk_alloc( jpij, nlay_i, icount ) 127 123 128 124 dh_i_surf (:) = 0._wp ; dh_i_bott (:) = 0._wp ; dh_snowice(:) = 0._wp … … 130 126 131 127 zqprec (:) = 0._wp ; zq_su (:) = 0._wp ; zq_bo (:) = 0._wp ; zf_tt (:) = 0._wp 132 zq_1cat(:) = 0._wp ; zq_rema(:) = 0._wp 133 134 zh_s (:) = 0._wp 128 zq_rema(:) = 0._wp 129 135 130 zdh_s_pre(:) = 0._wp 136 131 zdh_s_mel(:) = 0._wp … … 141 136 zh_i (:,:) = 0._wp 142 137 zdeltah (:,:) = 0._wp 143 icount (:) = 0 138 icount (:,:) = 0 139 140 ! Initialize enthalpy at nlay_i+1 141 DO ji = kideb, kiut 142 q_i_1d(ji,nlay_i+1) = 0._wp 143 END DO 144 144 145 145 ! initialize layer thicknesses and enthalpies … … 148 148 DO jk = 1, nlay_i 149 149 DO ji = kideb, kiut 150 h_i_old (ji,jk) = ht_i_1d(ji) / REAL( nlay_i )150 h_i_old (ji,jk) = ht_i_1d(ji) * r1_nlay_i 151 151 qh_i_old(ji,jk) = q_i_1d(ji,jk) * h_i_old(ji,jk) 152 152 ENDDO … … 158 158 ! 159 159 DO ji = kideb, kiut 160 rswitch = 1._wp - MAX( 0._wp , SIGN( 1._wp , - ht_s_1d(ji) ) )161 ztmelts = rswitch * rtt + ( 1._wp - rswitch ) * rtt162 163 160 zfdum = qns_ice_1d(ji) + ( 1._wp - i0(ji) ) * qsr_ice_1d(ji) - fc_su(ji) 164 161 zf_tt(ji) = fc_bo_i(ji) + fhtur_1d(ji) + fhld_1d(ji) 165 162 166 zq_su (ji) = MAX( 0._wp, zfdum * rdt_ice ) * MAX( 0._wp , SIGN( 1._wp, t_su_1d(ji) - ztmelts) )163 zq_su (ji) = MAX( 0._wp, zfdum * rdt_ice ) * MAX( 0._wp , SIGN( 1._wp, t_su_1d(ji) - rt0 ) ) 167 164 zq_bo (ji) = MAX( 0._wp, zf_tt(ji) * rdt_ice ) 168 165 END DO … … 174 171 !------------------------------------------------------------------------------! 175 172 DO ji = kideb, kiut 176 IF( t_s_1d(ji,1) > rt t) THEN !!! Internal melting173 IF( t_s_1d(ji,1) > rt0 ) THEN !!! Internal melting 177 174 ! Contribution to heat flux to the ocean [W.m-2], < 0 178 175 hfx_res_1d(ji) = hfx_res_1d(ji) + q_s_1d(ji,1) * ht_s_1d(ji) * a_i_1d(ji) * r1_rdtice … … 182 179 ht_s_1d(ji) = 0._wp 183 180 q_s_1d (ji,1) = 0._wp 184 t_s_1d (ji,1) = rt t181 t_s_1d (ji,1) = rt0 185 182 END IF 186 183 END DO … … 190 187 !------------------------------------------------------------! 191 188 ! 192 DO ji = kideb, kiut193 zh_s(ji) = ht_s_1d(ji) / REAL( nlay_s )194 END DO195 !196 189 DO jk = 1, nlay_s 197 190 DO ji = kideb, kiut 198 zqh_s(ji) = zqh_s(ji) + q_s_1d(ji,jk) * zh_s(ji)191 zqh_s(ji) = zqh_s(ji) + q_s_1d(ji,jk) * ht_s_1d(ji) * r1_nlay_s 199 192 END DO 200 193 END DO … … 202 195 DO jk = 1, nlay_i 203 196 DO ji = kideb, kiut 204 zh_i(ji,jk) = ht_i_1d(ji) / REAL( nlay_i )197 zh_i(ji,jk) = ht_i_1d(ji) * r1_nlay_i 205 198 zqh_i(ji) = zqh_i(ji) + q_i_1d(ji,jk) * zh_i(ji,jk) 206 199 END DO … … 225 218 ! Martin Vancoppenolle, December 2006 226 219 220 zdeltah(:,:) = 0._wp 227 221 DO ji = kideb, kiut 228 222 !----------- … … 230 224 !----------- 231 225 ! thickness change 232 zcoeff = ( 1._wp - ( 1._wp - at_i_1d(ji) )** betas ) / at_i_1d(ji)233 zdh_s_pre(ji) = zcoeff * sprecip_1d(ji) * rdt_ice /rhosn226 zcoeff = ( 1._wp - ( 1._wp - at_i_1d(ji) )**rn_betas ) / at_i_1d(ji) 227 zdh_s_pre(ji) = zcoeff * sprecip_1d(ji) * rdt_ice * r1_rhosn 234 228 ! enthalpy of the precip (>0, J.m-3) (tatm_ice is now in K) 235 zqprec (ji) = rhosn * ( cpic * ( rt t- MIN( tatm_ice_1d(ji), rt0_snow) ) + lfus )229 zqprec (ji) = rhosn * ( cpic * ( rt0 - MIN( tatm_ice_1d(ji), rt0_snow) ) + lfus ) 236 230 IF( sprecip_1d(ji) == 0._wp ) zqprec(ji) = 0._wp 237 231 ! heat flux from snow precip (>0, W.m-2) … … 239 233 ! mass flux, <0 240 234 wfx_spr_1d(ji) = wfx_spr_1d(ji) - rhosn * a_i_1d(ji) * zdh_s_pre(ji) * r1_rdtice 241 ! update thickness242 ht_s_1d (ji) = MAX( 0._wp , ht_s_1d(ji) + zdh_s_pre(ji) )243 235 244 236 !--------------------- … … 246 238 !--------------------- 247 239 ! thickness change 248 IF( zdh_s_pre(ji) > 0._wp ) THEN 249 rswitch = 1._wp - MAX( 0._wp , SIGN( 1._wp , - zqprec(ji) + epsi20 ) ) 250 zdh_s_mel (ji) = - rswitch * zq_su(ji) / MAX( zqprec(ji) , epsi20 ) 251 zdh_s_mel (ji) = MAX( - zdh_s_pre(ji), zdh_s_mel(ji) ) ! bound melting 240 rswitch = MAX( 0._wp , SIGN( 1._wp , zqprec(ji) - epsi20 ) ) 241 zdeltah (ji,1) = - rswitch * zq_su(ji) / MAX( zqprec(ji) , epsi20 ) 242 zdeltah (ji,1) = MAX( - zdh_s_pre(ji), zdeltah(ji,1) ) ! bound melting 252 243 ! heat used to melt snow (W.m-2, >0) 253 hfx_snw_1d(ji) = hfx_snw_1d(ji) - zd h_s_mel(ji) * a_i_1d(ji) * zqprec(ji) * r1_rdtice244 hfx_snw_1d(ji) = hfx_snw_1d(ji) - zdeltah(ji,1) * a_i_1d(ji) * zqprec(ji) * r1_rdtice 254 245 ! snow melting only = water into the ocean (then without snow precip), >0 255 wfx_snw_1d(ji) = wfx_snw_1d(ji) - rhosn * a_i_1d(ji) * zdh_s_mel(ji) * r1_rdtice 256 257 ! updates available heat + thickness 258 zq_su (ji) = MAX( 0._wp , zq_su (ji) + zdh_s_mel(ji) * zqprec(ji) ) 259 ht_s_1d(ji) = MAX( 0._wp , ht_s_1d(ji) + zdh_s_mel(ji) ) 260 zh_s (ji) = ht_s_1d(ji) / REAL( nlay_s ) 261 262 ENDIF 263 END DO 264 265 ! If heat still available, then melt more snow 266 zdeltah(:,:) = 0._wp ! important 246 wfx_snw_1d(ji) = wfx_snw_1d(ji) - rhosn * a_i_1d(ji) * zdeltah(ji,1) * r1_rdtice 247 ! updates available heat + precipitations after melting 248 zq_su (ji) = MAX( 0._wp , zq_su (ji) + zdeltah(ji,1) * zqprec(ji) ) 249 zdh_s_pre (ji) = zdh_s_pre(ji) + zdeltah(ji,1) 250 251 ! update thickness 252 ht_s_1d(ji) = MAX( 0._wp , ht_s_1d(ji) + zdh_s_pre(ji) ) 253 END DO 254 255 ! If heat still available (zq_su > 0), then melt more snow 256 zdeltah(:,:) = 0._wp 267 257 DO jk = 1, nlay_s 268 258 DO ji = kideb, kiut 269 259 ! thickness change 270 260 rswitch = 1._wp - MAX( 0._wp, SIGN( 1._wp, - ht_s_1d(ji) ) ) 271 rswitch = rswitch * ( 1._wp - MAX( 0._wp, SIGN( 1._wp, - q_s_1d(ji,jk) +epsi20 ) ) )261 rswitch = rswitch * ( MAX( 0._wp, SIGN( 1._wp, q_s_1d(ji,jk) - epsi20 ) ) ) 272 262 zdeltah (ji,jk) = - rswitch * zq_su(ji) / MAX( q_s_1d(ji,jk), epsi20 ) 273 zdeltah (ji,jk) = MAX( zdeltah(ji,jk) , - zh_s(ji) ) ! bound melting263 zdeltah (ji,jk) = MAX( zdeltah(ji,jk) , - ht_s_1d(ji) ) ! bound melting 274 264 zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,jk) 275 265 ! heat used to melt snow(W.m-2, >0) … … 277 267 ! snow melting only = water into the ocean (then without snow precip) 278 268 wfx_snw_1d(ji) = wfx_snw_1d(ji) - rhosn * a_i_1d(ji) * zdeltah(ji,jk) * r1_rdtice 279 280 269 ! updates available heat + thickness 281 zq_su (ji) = MAX( 0._wp , zq_su (ji) + zdeltah(ji,jk) * q_s_1d(ji,jk) )270 zq_su (ji) = MAX( 0._wp , zq_su (ji) + zdeltah(ji,jk) * q_s_1d(ji,jk) ) 282 271 ht_s_1d(ji) = MAX( 0._wp , ht_s_1d(ji) + zdeltah(ji,jk) ) 283 284 272 END DO 285 273 END DO … … 289 277 !---------------------- 290 278 ! qla_ice is always >=0 (upwards), heat goes to the atmosphere, therefore snow sublimates 291 ! clem comment: not counted in mass exchange in limsbc since this is an exchange with atm. (not ocean)279 ! clem comment: not counted in mass/heat exchange in limsbc since this is an exchange with atm. (not ocean) 292 280 ! clem comment: ice should also sublimate 281 zdeltah(:,:) = 0._wp 293 282 IF( lk_cpl ) THEN 294 283 ! coupled mode: sublimation already included in emp_ice (to do in limsbc_ice) … … 297 286 ! forced mode: snow thickness change due to sublimation 298 287 DO ji = kideb, kiut 299 zdh_s_sub(ji) = MAX( - ht_s_1d(ji) , - parsub *qla_ice_1d(ji) / ( rhosn * lsub ) * rdt_ice )288 zdh_s_sub(ji) = MAX( - ht_s_1d(ji) , - qla_ice_1d(ji) / ( rhosn * lsub ) * rdt_ice ) 300 289 ! Heat flux by sublimation [W.m-2], < 0 301 290 ! sublimate first snow that had fallen, then pre-existing snow 302 zcoeff = ( MAX( zdh_s_sub(ji), - MAX( 0._wp, zdh_s_pre(ji) + zdh_s_mel(ji) ) ) * zqprec(ji) + & 303 & ( zdh_s_sub(ji) - MAX( zdh_s_sub(ji), - MAX( 0._wp, zdh_s_pre(ji) + zdh_s_mel(ji) ) ) ) * q_s_1d(ji,1) ) & 304 & * a_i_1d(ji) * r1_rdtice 305 hfx_sub_1d(ji) = hfx_sub_1d(ji) + zcoeff 291 zdeltah(ji,1) = MAX( zdh_s_sub(ji), - zdh_s_pre(ji) ) 292 hfx_sub_1d(ji) = hfx_sub_1d(ji) + ( zdeltah(ji,1) * zqprec(ji) + ( zdh_s_sub(ji) - zdeltah(ji,1) ) * q_s_1d(ji,1) & 293 & ) * a_i_1d(ji) * r1_rdtice 306 294 ! Mass flux by sublimation 307 295 wfx_sub_1d(ji) = wfx_sub_1d(ji) - rhosn * a_i_1d(ji) * zdh_s_sub(ji) * r1_rdtice 308 296 ! new snow thickness 309 ht_s_1d(ji) = MAX( 0._wp , ht_s_1d(ji) + zdh_s_sub(ji) ) 297 ht_s_1d(ji) = MAX( 0._wp , ht_s_1d(ji) + zdh_s_sub(ji) ) 298 ! update precipitations after sublimation and correct sublimation 299 zdh_s_pre(ji) = zdh_s_pre(ji) + zdeltah(ji,1) 300 zdh_s_sub(ji) = zdh_s_sub(ji) - zdeltah(ji,1) 310 301 END DO 311 302 ENDIF … … 313 304 ! --- Update snow diags --- ! 314 305 DO ji = kideb, kiut 315 dh_s_tot(ji) = zdh_s_mel(ji) + zdh_s_pre(ji) + zdh_s_sub(ji) 316 zh_s(ji) = ht_s_1d(ji) / REAL( nlay_s ) 317 END DO ! ji 306 dh_s_tot(ji) = zdh_s_mel(ji) + zdh_s_pre(ji) + zdh_s_sub(ji) 307 END DO 318 308 319 309 !------------------------------------------- … … 324 314 DO jk = 1, nlay_s 325 315 DO ji = kideb,kiut 326 rswitch = MAX( 0._wp , SIGN( 1._wp, - ht_s_1d(ji) +epsi20 ) )327 q_s_1d(ji,jk) = ( 1._wp - rswitch ) / MAX( ht_s_1d(ji), epsi20 ) *&328 & ( ( MAX( 0._wp, dh_s_tot(ji) )) * zqprec(ji) + &329 & ( - MAX( 0._wp, dh_s_tot(ji) ) + ht_s_1d(ji) ) * rhosn * ( cpic * ( rtt- t_s_1d(ji,jk) ) + lfus ) )316 rswitch = MAX( 0._wp , SIGN( 1._wp, ht_s_1d(ji) - epsi20 ) ) 317 q_s_1d(ji,jk) = rswitch / MAX( ht_s_1d(ji), epsi20 ) * & 318 & ( ( zdh_s_pre(ji) ) * zqprec(ji) + & 319 & ( ht_s_1d(ji) - zdh_s_pre(ji) ) * rhosn * ( cpic * ( rt0 - t_s_1d(ji,jk) ) + lfus ) ) 330 320 zq_s(ji) = zq_s(ji) + q_s_1d(ji,jk) 331 321 END DO … … 337 327 zdeltah(:,:) = 0._wp ! important 338 328 DO jk = 1, nlay_i 339 DO ji = kideb, kiut 340 zEi = - q_i_1d(ji,jk) / rhoic ! Specific enthalpy of layer k [J/kg, <0] 341 342 ztmelts = - tmut * s_i_1d(ji,jk) + rtt ! Melting point of layer k [K] 343 344 zEw = rcp * ( ztmelts - rt0 ) ! Specific enthalpy of resulting meltwater [J/kg, <0] 345 346 zdE = zEi - zEw ! Specific enthalpy difference < 0 347 348 zfmdt = - zq_su(ji) / zdE ! Mass flux to the ocean [kg/m2, >0] 349 350 zdeltah(ji,jk) = - zfmdt / rhoic ! Melt of layer jk [m, <0] 351 352 zdeltah(ji,jk) = MIN( 0._wp , MAX( zdeltah(ji,jk) , - zh_i(ji,jk) ) ) ! Melt of layer jk cannot exceed the layer thickness [m, <0] 353 354 zq_su(ji) = MAX( 0._wp , zq_su(ji) - zdeltah(ji,jk) * rhoic * zdE ) ! update available heat 355 356 dh_i_surf(ji) = dh_i_surf(ji) + zdeltah(ji,jk) ! Cumulate surface melt 357 358 zfmdt = - rhoic * zdeltah(ji,jk) ! Recompute mass flux [kg/m2, >0] 359 360 zQm = zfmdt * zEw ! Energy of the melt water sent to the ocean [J/m2, <0] 361 362 ! Contribution to salt flux (clem: using sm_i_1d and not s_i_1d(jk) is ok) 363 sfx_sum_1d(ji) = sfx_sum_1d(ji) - sm_i_1d(ji) * a_i_1d(ji) * zdeltah(ji,jk) * rhoic * r1_rdtice 364 365 ! Contribution to heat flux [W.m-2], < 0 366 hfx_thd_1d(ji) = hfx_thd_1d(ji) + zfmdt * a_i_1d(ji) * zEw * r1_rdtice 367 368 ! Total heat flux used in this process [W.m-2], > 0 369 hfx_sum_1d(ji) = hfx_sum_1d(ji) - zfmdt * a_i_1d(ji) * zdE * r1_rdtice 370 371 ! Contribution to mass flux 372 wfx_sum_1d(ji) = wfx_sum_1d(ji) - rhoic * a_i_1d(ji) * zdeltah(ji,jk) * r1_rdtice 373 329 DO ji = kideb, kiut 330 ztmelts = - tmut * s_i_1d(ji,jk) + rt0 ! Melting point of layer k [K] 331 332 IF( t_i_1d(ji,jk) >= ztmelts ) THEN !!! Internal melting 333 334 zEi = - q_i_1d(ji,jk) * r1_rhoic ! Specific enthalpy of layer k [J/kg, <0] 335 zdE = 0._wp ! Specific enthalpy difference (J/kg, <0) 336 ! set up at 0 since no energy is needed to melt water...(it is already melted) 337 zdeltah(ji,jk) = MIN( 0._wp , - zh_i(ji,jk) ) ! internal melting occurs when the internal temperature is above freezing 338 ! this should normally not happen, but sometimes, heat diffusion leads to this 339 zfmdt = - zdeltah(ji,jk) * rhoic ! Mass flux x time step > 0 340 341 dh_i_surf(ji) = dh_i_surf(ji) + zdeltah(ji,jk) ! Cumulate surface melt 342 343 zfmdt = - rhoic * zdeltah(ji,jk) ! Recompute mass flux [kg/m2, >0] 344 345 ! Contribution to heat flux to the ocean [W.m-2], <0 (ice enthalpy zEi is "sent" to the ocean) 346 hfx_res_1d(ji) = hfx_res_1d(ji) + zfmdt * a_i_1d(ji) * zEi * r1_rdtice 347 348 ! Contribution to salt flux (clem: using sm_i_1d and not s_i_1d(jk) is ok) 349 sfx_res_1d(ji) = sfx_res_1d(ji) - rhoic * a_i_1d(ji) * zdeltah(ji,jk) * sm_i_1d(ji) * r1_rdtice 350 351 ! Contribution to mass flux 352 wfx_res_1d(ji) = wfx_res_1d(ji) - rhoic * a_i_1d(ji) * zdeltah(ji,jk) * r1_rdtice 353 354 ELSE !!! Surface melting 355 356 zEi = - q_i_1d(ji,jk) * r1_rhoic ! Specific enthalpy of layer k [J/kg, <0] 357 zEw = rcp * ( ztmelts - rt0 ) ! Specific enthalpy of resulting meltwater [J/kg, <0] 358 zdE = zEi - zEw ! Specific enthalpy difference < 0 359 360 zfmdt = - zq_su(ji) / zdE ! Mass flux to the ocean [kg/m2, >0] 361 362 zdeltah(ji,jk) = - zfmdt * r1_rhoic ! Melt of layer jk [m, <0] 363 364 zdeltah(ji,jk) = MIN( 0._wp , MAX( zdeltah(ji,jk) , - zh_i(ji,jk) ) ) ! Melt of layer jk cannot exceed the layer thickness [m, <0] 365 366 zq_su(ji) = MAX( 0._wp , zq_su(ji) - zdeltah(ji,jk) * rhoic * zdE ) ! update available heat 367 368 dh_i_surf(ji) = dh_i_surf(ji) + zdeltah(ji,jk) ! Cumulate surface melt 369 370 zfmdt = - rhoic * zdeltah(ji,jk) ! Recompute mass flux [kg/m2, >0] 371 372 zQm = zfmdt * zEw ! Energy of the melt water sent to the ocean [J/m2, <0] 373 374 ! Contribution to salt flux (clem: using sm_i_1d and not s_i_1d(jk) is ok) 375 sfx_sum_1d(ji) = sfx_sum_1d(ji) - rhoic * a_i_1d(ji) * zdeltah(ji,jk) * sm_i_1d(ji) * r1_rdtice 376 377 ! Contribution to heat flux [W.m-2], < 0 378 hfx_thd_1d(ji) = hfx_thd_1d(ji) + zfmdt * a_i_1d(ji) * zEw * r1_rdtice 379 380 ! Total heat flux used in this process [W.m-2], > 0 381 hfx_sum_1d(ji) = hfx_sum_1d(ji) - zfmdt * a_i_1d(ji) * zdE * r1_rdtice 382 383 ! Contribution to mass flux 384 wfx_sum_1d(ji) = wfx_sum_1d(ji) - rhoic * a_i_1d(ji) * zdeltah(ji,jk) * r1_rdtice 385 386 END IF 374 387 ! record which layers have disappeared (for bottom melting) 375 388 ! => icount=0 : no layer has vanished 376 389 ! => icount=5 : 5 layers have vanished 377 rswitch = MAX( 0._wp , SIGN( 1._wp , - ( zh_i(ji,jk) + zdeltah(ji,jk) ) ) )378 icount(ji ) = icount(ji) +NINT( rswitch )379 zh_i(ji,jk) = MAX( 0._wp , zh_i(ji,jk) + zdeltah(ji,jk) )390 rswitch = MAX( 0._wp , SIGN( 1._wp , - ( zh_i(ji,jk) + zdeltah(ji,jk) ) ) ) 391 icount(ji,jk) = NINT( rswitch ) 392 zh_i(ji,jk) = MAX( 0._wp , zh_i(ji,jk) + zdeltah(ji,jk) ) 380 393 381 394 ! update heat content (J.m-2) and layer thickness … … 408 421 ! -> need for an iterative procedure, which converges quickly 409 422 410 IF ( num_sal == 2 ) THEN 411 num_iter_max = 5 412 ELSE 413 num_iter_max = 1 414 ENDIF 415 416 !clem debug. Just to be sure that enthalpy at nlay_i+1 is null 417 DO ji = kideb, kiut 418 q_i_1d(ji,nlay_i+1) = 0._wp 419 END DO 423 num_iter_max = 1 424 IF( nn_icesal == 2 ) num_iter_max = 5 420 425 421 426 ! Iterative procedure … … 440 445 + ( 1. - zswitch_sal ) * sm_i_1d(ji) 441 446 ! New ice growth 442 ztmelts = - tmut * s_i_new(ji) + rt t! New ice melting point (K)447 ztmelts = - tmut * s_i_new(ji) + rt0 ! New ice melting point (K) 443 448 444 449 zt_i_new = zswitch_sal * t_bo_1d(ji) + ( 1. - zswitch_sal) * t_i_1d(ji, nlay_i) 445 450 446 451 zEi = cpic * ( zt_i_new - ztmelts ) & ! Specific enthalpy of forming ice (J/kg, <0) 447 & - lfus * ( 1.0 - ( ztmelts - rt t ) / ( zt_i_new - rtt) ) &448 & + rcp * ( ztmelts-rt t)452 & - lfus * ( 1.0 - ( ztmelts - rt0 ) / ( zt_i_new - rt0 ) ) & 453 & + rcp * ( ztmelts-rt0 ) 449 454 450 455 zEw = rcp * ( t_bo_1d(ji) - rt0 ) ! Specific enthalpy of seawater (J/kg, < 0) … … 456 461 q_i_1d(ji,nlay_i+1) = -zEi * rhoic ! New ice energy of melting (J/m3, >0) 457 462 458 ENDIF ! fc_bo_i459 END DO ! ji460 END DO ! iter463 ENDIF 464 END DO 465 END DO 461 466 462 467 ! Contribution to Energy and Salt Fluxes … … 467 472 zfmdt = - rhoic * dh_i_bott(ji) ! Mass flux x time step (kg/m2, < 0) 468 473 469 ztmelts = - tmut * s_i_new(ji) + rt t! New ice melting point (K)474 ztmelts = - tmut * s_i_new(ji) + rt0 ! New ice melting point (K) 470 475 471 476 zt_i_new = zswitch_sal * t_bo_1d(ji) + ( 1. - zswitch_sal) * t_i_1d(ji, nlay_i) 472 477 473 478 zEi = cpic * ( zt_i_new - ztmelts ) & ! Specific enthalpy of forming ice (J/kg, <0) 474 & - lfus * ( 1.0 - ( ztmelts - rt t ) / ( zt_i_new - rtt) ) &475 & + rcp * ( ztmelts-rt t)479 & - lfus * ( 1.0 - ( ztmelts - rt0 ) / ( zt_i_new - rt0 ) ) & 480 & + rcp * ( ztmelts-rt0 ) 476 481 477 482 zEw = rcp * ( t_bo_1d(ji) - rt0 ) ! Specific enthalpy of seawater (J/kg, < 0) … … 486 491 487 492 ! Contribution to salt flux, <0 488 sfx_bog_1d(ji) = sfx_bog_1d(ji) + s_i_new(ji) * a_i_1d(ji) * zfmdt* r1_rdtice493 sfx_bog_1d(ji) = sfx_bog_1d(ji) - rhoic * a_i_1d(ji) * dh_i_bott(ji) * s_i_new(ji) * r1_rdtice 489 494 490 495 ! Contribution to mass flux, <0 … … 503 508 DO jk = nlay_i, 1, -1 504 509 DO ji = kideb, kiut 505 IF( zf_tt(ji) > = 0._wp .AND. jk > icount(ji) ) THEN ! do not calculate where layer has already disappeared fromsurface melting506 507 ztmelts = - tmut * s_i_1d(ji,jk) + rt t! Melting point of layer jk (K)510 IF( zf_tt(ji) > 0._wp .AND. jk > icount(ji,jk) ) THEN ! do not calculate where layer has already disappeared by surface melting 511 512 ztmelts = - tmut * s_i_1d(ji,jk) + rt0 ! Melting point of layer jk (K) 508 513 509 514 IF( t_i_1d(ji,jk) >= ztmelts ) THEN !!! Internal melting 510 515 511 zEi = - q_i_1d(ji,jk) / rhoic ! Specific enthalpy of melting ice (J/kg, <0) 512 513 !!zEw = rcp * ( t_i_1d(ji,jk) - rtt ) ! Specific enthalpy of meltwater at T = t_i_1d (J/kg, <0) 514 516 zEi = - q_i_1d(ji,jk) * r1_rhoic ! Specific enthalpy of melting ice (J/kg, <0) 515 517 zdE = 0._wp ! Specific enthalpy difference (J/kg, <0) 516 518 ! set up at 0 since no energy is needed to melt water...(it is already melted) 517 518 zdeltah (ji,jk) = MIN( 0._wp , - zh_i(ji,jk) ) ! internal melting occurs when the internal temperature is above freezing 519 ! this should normally not happen, but sometimes, heat diffusion leads to this 519 zdeltah (ji,jk) = MIN( 0._wp , - zh_i(ji,jk) ) ! internal melting occurs when the internal temperature is above freezing 520 ! this should normally not happen, but sometimes, heat diffusion leads to this 520 521 521 522 dh_i_bott (ji) = dh_i_bott(ji) + zdeltah(ji,jk) 522 523 523 zfmdt = - zdeltah(ji,jk) * rhoic 524 zfmdt = - zdeltah(ji,jk) * rhoic ! Mass flux x time step > 0 524 525 525 526 ! Contribution to heat flux to the ocean [W.m-2], <0 (ice enthalpy zEi is "sent" to the ocean) … … 527 528 528 529 ! Contribution to salt flux (clem: using sm_i_1d and not s_i_1d(jk) is ok) 529 sfx_res_1d(ji) = sfx_res_1d(ji) - sm_i_1d(ji) * a_i_1d(ji) * zdeltah(ji,jk) * rhoic* r1_rdtice530 sfx_res_1d(ji) = sfx_res_1d(ji) - rhoic * a_i_1d(ji) * zdeltah(ji,jk) * sm_i_1d(ji) * r1_rdtice 530 531 531 532 ! Contribution to mass flux … … 538 539 ELSE !!! Basal melting 539 540 540 zEi = - q_i_1d(ji,jk) / rhoic ! Specific enthalpy of melting ice (J/kg, <0) 541 542 zEw = rcp * ( ztmelts - rtt )! Specific enthalpy of meltwater (J/kg, <0) 543 544 zdE = zEi - zEw ! Specific enthalpy difference (J/kg, <0) 545 546 zfmdt = - zq_bo(ji) / zdE ! Mass flux x time step (kg/m2, >0) 547 548 zdeltah(ji,jk) = - zfmdt / rhoic ! Gross thickness change 549 550 zdeltah(ji,jk) = MIN( 0._wp , MAX( zdeltah(ji,jk), - zh_i(ji,jk) ) ) ! bound thickness change 541 zEi = - q_i_1d(ji,jk) * r1_rhoic ! Specific enthalpy of melting ice (J/kg, <0) 542 zEw = rcp * ( ztmelts - rt0 ) ! Specific enthalpy of meltwater (J/kg, <0) 543 zdE = zEi - zEw ! Specific enthalpy difference (J/kg, <0) 544 545 zfmdt = - zq_bo(ji) / zdE ! Mass flux x time step (kg/m2, >0) 546 547 zdeltah(ji,jk) = - zfmdt * r1_rhoic ! Gross thickness change 548 549 zdeltah(ji,jk) = MIN( 0._wp , MAX( zdeltah(ji,jk), - zh_i(ji,jk) ) ) ! bound thickness change 551 550 552 zq_bo(ji) 553 554 dh_i_bott(ji) 555 556 zfmdt 557 558 zQm 551 zq_bo(ji) = MAX( 0._wp , zq_bo(ji) - zdeltah(ji,jk) * rhoic * zdE ) ! update available heat. MAX is necessary for roundup errors 552 553 dh_i_bott(ji) = dh_i_bott(ji) + zdeltah(ji,jk) ! Update basal melt 554 555 zfmdt = - zdeltah(ji,jk) * rhoic ! Mass flux x time step > 0 556 557 zQm = zfmdt * zEw ! Heat exchanged with ocean 559 558 560 559 ! Contribution to heat flux to the ocean [W.m-2], <0 561 hfx_thd_1d(ji) = hfx_thd_1d(ji) + zfmdt * a_i_1d(ji) * zEw * r1_rdtice560 hfx_thd_1d(ji) = hfx_thd_1d(ji) + zfmdt * a_i_1d(ji) * zEw * r1_rdtice 562 561 563 562 ! Contribution to salt flux (clem: using sm_i_1d and not s_i_1d(jk) is ok) 564 sfx_bom_1d(ji) = sfx_bom_1d(ji) - sm_i_1d(ji) * a_i_1d(ji) * zdeltah(ji,jk) * rhoic* r1_rdtice563 sfx_bom_1d(ji) = sfx_bom_1d(ji) - rhoic * a_i_1d(ji) * zdeltah(ji,jk) * sm_i_1d(ji) * r1_rdtice 565 564 566 565 ! Total heat flux used in this process [W.m-2], >0 567 hfx_bom_1d(ji) = hfx_bom_1d(ji) - zfmdt * a_i_1d(ji) * zdE * r1_rdtice566 hfx_bom_1d(ji) = hfx_bom_1d(ji) - zfmdt * a_i_1d(ji) * zdE * r1_rdtice 568 567 569 568 ! Contribution to mass flux 570 wfx_bom_1d(ji) = wfx_bom_1d(ji) - rhoic * a_i_1d(ji) * zdeltah(ji,jk) * r1_rdtice569 wfx_bom_1d(ji) = wfx_bom_1d(ji) - rhoic * a_i_1d(ji) * zdeltah(ji,jk) * r1_rdtice 571 570 572 571 ! update heat content (J.m-2) and layer thickness … … 576 575 577 576 ENDIF 578 END DO ! ji 579 END DO ! jk 580 581 !------------------------------------------------------------------------------! 582 ! Excessive ablation in a 1-category model 583 ! in a 1-category sea ice model, bottom ablation must not exceed hmelt (-0.15) 584 !------------------------------------------------------------------------------! 585 ! ??? keep ??? 586 ! clem bug: I think this should be included above, so we would not have to 587 ! track heat/salt/mass fluxes backwards 588 ! IF( jpl == 1 ) THEN 589 ! DO ji = kideb, kiut 590 ! IF( zf_tt(ji) >= 0._wp ) THEN 591 ! zdh = MAX( hmelt , dh_i_bott(ji) ) 592 ! zdvres = zdh - dh_i_bott(ji) ! >=0 593 ! dh_i_bott(ji) = zdh 594 ! 595 ! ! excessive energy is sent to lateral ablation 596 ! rswitch = MAX( 0._wp, SIGN( 1._wp , 1._wp - at_i_1d(ji) - epsi20 ) ) 597 ! zq_1cat(ji) = rswitch * rhoic * lfus * at_i_1d(ji) / MAX( 1._wp - at_i_1d(ji) , epsi20 ) * zdvres ! J.m-2 >=0 598 ! 599 ! ! correct salt and mass fluxes 600 ! sfx_bom_1d(ji) = sfx_bom_1d(ji) - sm_i_1d(ji) * a_i_1d(ji) * zdvres * rhoic * r1_rdtice ! this is only a raw approximation 601 ! wfx_bom_1d(ji) = wfx_bom_1d(ji) - rhoic * a_i_1d(ji) * zdvres * r1_rdtice 602 ! ENDIF 603 ! END DO 604 ! ENDIF 577 END DO 578 END DO 605 579 606 580 !------------------------------------------- … … 619 593 DO ji = kideb, kiut 620 594 zq_rema(ji) = zq_su(ji) + zq_bo(ji) 621 ! zindh = 1._wp - MAX( 0._wp, SIGN( 1._wp, - ht_s_1d(ji) ) ) ! =1 if snow 622 ! zindq = 1._wp - MAX( 0._wp, SIGN( 1._wp, - zq_s(ji) + epsi20 ) ) 623 ! zdeltah (ji,1) = - zindh * zindq * zq_rema(ji) / MAX( zq_s(ji), epsi20 ) 624 ! zdeltah (ji,1) = MIN( 0._wp , MAX( zdeltah(ji,1) , - ht_s_1d(ji) ) ) ! bound melting 625 ! zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,1) 626 ! dh_s_tot (ji) = dh_s_tot(ji) + zdeltah(ji,1) 627 ! ht_s_1d (ji) = ht_s_1d(ji) + zdeltah(ji,1) 628 ! 629 ! zq_rema(ji) = zq_rema(ji) + zdeltah(ji,1) * zq_s(ji) ! update available heat (J.m-2) 630 ! ! heat used to melt snow 631 ! hfx_snw_1d(ji) = hfx_snw_1d(ji) - zdeltah(ji,1) * a_i_1d(ji) * zq_s(ji) * r1_rdtice ! W.m-2 (>0) 632 ! ! Contribution to mass flux 633 ! wfx_snw_1d(ji) = wfx_snw_1d(ji) - rhosn * a_i_1d(ji) * zdeltah(ji,1) * r1_rdtice 634 ! 595 rswitch = 1._wp - MAX( 0._wp, SIGN( 1._wp, - ht_s_1d(ji) ) ) ! =1 if snow 596 rswitch = rswitch * MAX( 0._wp, SIGN( 1._wp, q_s_1d(ji,1) - epsi20 ) ) 597 zdeltah (ji,1) = - rswitch * zq_rema(ji) / MAX( q_s_1d(ji,1), epsi20 ) 598 zdeltah (ji,1) = MIN( 0._wp , MAX( zdeltah(ji,1) , - ht_s_1d(ji) ) ) ! bound melting 599 dh_s_tot (ji) = dh_s_tot(ji) + zdeltah(ji,1) 600 ht_s_1d (ji) = ht_s_1d(ji) + zdeltah(ji,1) 601 602 zq_rema(ji) = zq_rema(ji) + zdeltah(ji,1) * q_s_1d(ji,1) ! update available heat (J.m-2) 603 ! heat used to melt snow 604 hfx_snw_1d(ji) = hfx_snw_1d(ji) - zdeltah(ji,1) * a_i_1d(ji) * q_s_1d(ji,1) * r1_rdtice ! W.m-2 (>0) 605 ! Contribution to mass flux 606 wfx_snw_1d(ji) = wfx_snw_1d(ji) - rhosn * a_i_1d(ji) * zdeltah(ji,1) * r1_rdtice 607 ! 635 608 ii = MOD( npb(ji) - 1, jpi ) + 1 ; ij = ( npb(ji) - 1 ) / jpi + 1 636 609 ! Remaining heat flux (W.m-2) is sent to the ocean heat budget 637 hfx_out(ii,ij) = hfx_out(ii,ij) + ( zq_ 1cat(ji) + zq_rema(ji) * a_i_1d(ji) ) * r1_rdtice638 639 IF( ln_ nicep.AND. zq_rema(ji) < 0. .AND. lwp ) WRITE(numout,*) 'ALERTE zq_rema <0 = ', zq_rema(ji)610 hfx_out(ii,ij) = hfx_out(ii,ij) + ( zq_rema(ji) * a_i_1d(ji) ) * r1_rdtice 611 612 IF( ln_icectl .AND. zq_rema(ji) < 0. .AND. lwp ) WRITE(numout,*) 'ALERTE zq_rema <0 = ', zq_rema(ji) 640 613 END DO 641 614 … … 650 623 dh_snowice(ji) = MAX( 0._wp , ( rhosn * ht_s_1d(ji) + (rhoic-rau0) * ht_i_1d(ji) ) / ( rhosn+rau0-rhoic ) ) 651 624 652 ht_i_1d(ji) 653 ht_s_1d(ji) 625 ht_i_1d(ji) = ht_i_1d(ji) + dh_snowice(ji) 626 ht_s_1d(ji) = ht_s_1d(ji) - dh_snowice(ji) 654 627 655 628 ! Salinity of snow ice 656 629 ii = MOD( npb(ji) - 1, jpi ) + 1 ; ij = ( npb(ji) - 1 ) / jpi + 1 657 zs_snic = zswitch_sal * sss_m(ii,ij) * ( rhoic - rhosn ) /rhoic + ( 1. - zswitch_sal ) * sm_i_1d(ji)630 zs_snic = zswitch_sal * sss_m(ii,ij) * ( rhoic - rhosn ) * r1_rhoic + ( 1. - zswitch_sal ) * sm_i_1d(ji) 658 631 659 632 ! entrapment during snow ice formation 660 ! new salinity difference stored (to be used in limthd_ ent.F90)661 IF ( n um_sal == 2 ) THEN662 rswitch = MAX( 0._wp , SIGN( 1._wp , ht_i_1d(ji) - epsi 10 ) )633 ! new salinity difference stored (to be used in limthd_sal.F90) 634 IF ( nn_icesal == 2 ) THEN 635 rswitch = MAX( 0._wp , SIGN( 1._wp , ht_i_1d(ji) - epsi20 ) ) 663 636 ! salinity dif due to snow-ice formation 664 dsm_i_si_1d(ji) = ( zs_snic - sm_i_1d(ji) ) * dh_snowice(ji) / MAX( ht_i_1d(ji), epsi 10 ) * rswitch637 dsm_i_si_1d(ji) = ( zs_snic - sm_i_1d(ji) ) * dh_snowice(ji) / MAX( ht_i_1d(ji), epsi20 ) * rswitch 665 638 ! salinity dif due to bottom growth 666 639 IF ( zf_tt(ji) < 0._wp ) THEN 667 dsm_i_se_1d(ji) = ( s_i_new(ji) - sm_i_1d(ji) ) * dh_i_bott(ji) / MAX( ht_i_1d(ji), epsi 10 ) * rswitch640 dsm_i_se_1d(ji) = ( s_i_new(ji) - sm_i_1d(ji) ) * dh_i_bott(ji) / MAX( ht_i_1d(ji), epsi20 ) * rswitch 668 641 ENDIF 669 642 ENDIF … … 691 664 h_i_old (ji,0) = h_i_old (ji,0) + dh_snowice(ji) 692 665 693 ! Total ablation (to debug) 694 IF( ht_i_1d(ji) <= 0._wp ) a_i_1d(ji) = 0._wp 695 696 END DO !ji 666 END DO 697 667 698 668 ! … … 700 670 ! Update temperature, energy 701 671 !------------------------------------------- 702 !clem bug: we should take snow into account here703 672 DO ji = kideb, kiut 704 673 rswitch = 1.0 - MAX( 0._wp , SIGN( 1._wp , - ht_i_1d(ji) ) ) 705 t_su_1d(ji) = rswitch * t_su_1d(ji) + ( 1.0 - rswitch ) * rt t706 END DO ! ji674 t_su_1d(ji) = rswitch * t_su_1d(ji) + ( 1.0 - rswitch ) * rt0 675 END DO 707 676 708 677 DO jk = 1, nlay_s 709 678 DO ji = kideb,kiut 710 679 ! mask enthalpy 711 rswitch = MAX( 0._wp , SIGN( 1._wp, - ht_s_1d(ji) ) )712 q_s_1d(ji,jk) = ( 1.0 - rswitch )* q_s_1d(ji,jk)680 rswitch = 1._wp - MAX( 0._wp , SIGN( 1._wp, - ht_s_1d(ji) ) ) 681 q_s_1d(ji,jk) = rswitch * q_s_1d(ji,jk) 713 682 ! recalculate t_s_1d from q_s_1d 714 t_s_1d(ji,jk) = rtt + ( 1._wp - rswitch ) * ( - q_s_1d(ji,jk) / ( rhosn * cpic ) + lfus / cpic ) 715 END DO 716 END DO 717 718 CALL wrk_dealloc( jpij, zh_s, zqprec, zq_su, zq_bo, zf_tt, zq_1cat, zq_rema ) 683 t_s_1d(ji,jk) = rt0 + rswitch * ( - q_s_1d(ji,jk) / ( rhosn * cpic ) + lfus / cpic ) 684 END DO 685 END DO 686 687 ! --- ensure that a_i = 0 where ht_i = 0 --- 688 WHERE( ht_i_1d == 0._wp ) a_i_1d = 0._wp 689 690 CALL wrk_dealloc( jpij, zqprec, zq_su, zq_bo, zf_tt, zq_rema ) 719 691 CALL wrk_dealloc( jpij, zdh_s_mel, zdh_s_pre, zdh_s_sub, zqh_i, zqh_s, zq_s ) 720 CALL wrk_dealloc( jpij, nlay_i +1, zdeltah, zh_i )721 CALL wrk_dealloc( jpij, icount )692 CALL wrk_dealloc( jpij, nlay_i, zdeltah, zh_i ) 693 CALL wrk_dealloc( jpij, nlay_i, icount ) 722 694 ! 723 695 !
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