Changeset 13472 for NEMO/trunk/src/ICE/icethd_zdf_bl99.F90
- Timestamp:
- 2020-09-16T15:05:19+02:00 (4 years ago)
- File:
-
- 1 edited
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NEMO/trunk/src/ICE/icethd_zdf_bl99.F90
r12489 r13472 85 85 86 86 LOGICAL, DIMENSION(jpij) :: l_T_converged ! true when T converges (per grid point) 87 !87 ! 88 88 REAL(wp) :: zg1s = 2._wp ! for the tridiagonal system 89 89 REAL(wp) :: zg1 = 2._wp ! 90 90 REAL(wp) :: zgamma = 18009._wp ! for specific heat 91 91 REAL(wp) :: zbeta = 0.117_wp ! for thermal conductivity (could be 0.13) 92 REAL(wp) :: zraext_s = 10._wp ! extinction coefficient of radiation in the snow93 92 REAL(wp) :: zkimin = 0.10_wp ! minimum ice thermal conductivity 94 93 REAL(wp) :: ztsu_err = 1.e-5_wp ! range around which t_su is considered at 0C 95 94 REAL(wp) :: zdti_bnd = 1.e-4_wp ! maximal authorized error on temperature 96 REAL(wp) :: zhs_min = 0.01_wp ! minimum snow thickness for conductivity calculation 95 REAL(wp) :: zhs_ssl = 0.03_wp ! surface scattering layer in the snow 96 REAL(wp) :: zhi_ssl = 0.10_wp ! surface scattering layer in the ice 97 REAL(wp) :: zh_min = 1.e-3_wp ! minimum ice/snow thickness for conduction 97 98 REAL(wp) :: ztmelts ! ice melting temperature 98 99 REAL(wp) :: zdti_max ! current maximal error on temperature 99 100 REAL(wp) :: zcpi ! Ice specific heat 100 101 REAL(wp) :: zhfx_err, zdq ! diag errors on heat 101 REAL(wp) :: zfac ! dummy factor 102 ! 103 REAL(wp), DIMENSION(jpij) :: isnow ! switch for presence (1) or absence (0) of snow 102 ! 103 REAL(wp), DIMENSION(jpij) :: zraext_s ! extinction coefficient of radiation in the snow 104 104 REAL(wp), DIMENSION(jpij) :: ztsub ! surface temperature at previous iteration 105 105 REAL(wp), DIMENSION(jpij) :: zh_i, z1_h_i ! ice layer thickness … … 124 124 REAL(wp), DIMENSION(jpij,0:nlay_s) :: zkappa_s ! Kappa factor in the snow 125 125 REAL(wp), DIMENSION(jpij,0:nlay_s) :: zeta_s ! Eta factor in the snow 126 REAL(wp), DIMENSION(jpij) :: zkappa_comb ! Combined snow and ice surface conductivity 126 127 REAL(wp), DIMENSION(jpij,nlay_i+3) :: zindterm ! 'Ind'ependent term 127 128 REAL(wp), DIMENSION(jpij,nlay_i+3) :: zindtbis ! Temporary 'ind'ependent term … … 130 131 REAL(wp), DIMENSION(jpij) :: zq_ini ! diag errors on heat 131 132 REAL(wp), DIMENSION(jpij) :: zghe ! G(he), th. conduct enhancement factor, mono-cat 133 REAL(wp), DIMENSION(jpij) :: za_s_fra ! ice fraction covered by snow 134 REAL(wp), DIMENSION(jpij) :: isnow ! snow presence (1) or not (0) 135 REAL(wp), DIMENSION(jpij) :: isnow_comb ! snow presence for met-office 132 136 ! 133 137 ! Mono-category … … 143 147 END DO 144 148 149 ! calculate ice fraction covered by snow for radiation 150 CALL ice_var_snwfra( h_s_1d(1:npti), za_s_fra(1:npti) ) 151 145 152 !------------------ 146 153 ! 1) Initialization 147 154 !------------------ 155 ! 156 ! extinction radiation in the snow 157 IF ( nn_qtrice == 0 ) THEN ! constant 158 zraext_s(1:npti) = rn_kappa_s 159 ELSEIF( nn_qtrice == 1 ) THEN ! depends on melting/freezing conditions 160 WHERE( t_su_1d(1:npti) < rt0 ) ; zraext_s(1:npti) = rn_kappa_sdry ! no surface melting 161 ELSEWHERE ; zraext_s(1:npti) = rn_kappa_smlt ! surface melting 162 END WHERE 163 ENDIF 164 ! 165 ! thicknesses 148 166 DO ji = 1, npti 149 isnow(ji) = 1._wp - MAX( 0._wp , SIGN(1._wp, - h_s_1d(ji) ) ) ! is there snow or not 150 ! layer thickness 151 zh_i(ji) = h_i_1d(ji) * r1_nlay_i 152 zh_s(ji) = h_s_1d(ji) * r1_nlay_s 167 ! ice thickness 168 IF( h_i_1d(ji) > 0._wp ) THEN 169 zh_i (ji) = MAX( zh_min , h_i_1d(ji) ) * r1_nlay_i ! set a minimum thickness for conduction 170 z1_h_i(ji) = 1._wp / zh_i(ji) ! it must be very small 171 ELSE 172 zh_i (ji) = 0._wp 173 z1_h_i(ji) = 0._wp 174 ENDIF 175 ! snow thickness 176 IF( h_s_1d(ji) > 0._wp ) THEN 177 zh_s (ji) = MAX( zh_min , h_s_1d(ji) ) * r1_nlay_s ! set a minimum thickness for conduction 178 z1_h_s(ji) = 1._wp / zh_s(ji) ! it must be very small 179 isnow (ji) = 1._wp 180 ELSE 181 zh_s (ji) = 0._wp 182 z1_h_s(ji) = 0._wp 183 isnow (ji) = 0._wp 184 ENDIF 185 ! for Met-Office 186 IF( h_s_1d(ji) < zh_min ) THEN 187 isnow_comb(ji) = h_s_1d(ji) / zh_min 188 ELSE 189 isnow_comb(ji) = 1._wp 190 ENDIF 153 191 END DO 154 ! 155 WHERE( zh_i(1:npti) >= epsi10 ) ; z1_h_i(1:npti) = 1._wp / zh_i(1:npti) 156 ELSEWHERE ; z1_h_i(1:npti) = 0._wp 157 END WHERE 158 ! 159 WHERE( zh_s(1:npti) > 0._wp ) zh_s(1:npti) = MAX( zhs_min * r1_nlay_s, zh_s(1:npti) ) 160 ! 161 WHERE( zh_s(1:npti) > 0._wp ) ; z1_h_s(1:npti) = 1._wp / zh_s(1:npti) 162 ELSEWHERE ; z1_h_s(1:npti) = 0._wp 163 END WHERE 192 ! clem: we should apply correction on snow thickness to take into account snow fraction 193 ! it must be a distribution, so it is a bit complicated 164 194 ! 165 195 ! Store initial temperatures and non solar heat fluxes 166 196 IF( k_cnd == np_cnd_OFF .OR. k_cnd == np_cnd_EMU ) THEN 167 !168 197 ztsub (1:npti) = t_su_1d(1:npti) ! surface temperature at iteration n-1 169 198 ztsuold (1:npti) = t_su_1d(1:npti) ! surface temperature initial value … … 185 214 DO ji = 1, npti 186 215 ! ! radiation transmitted below the layer-th snow layer 187 zradtr_s(ji,jk) = zradtr_s(ji,0) * EXP( - zraext_s * h_s_1d(ji) * r1_nlay_s * REAL(jk) )216 zradtr_s(ji,jk) = zradtr_s(ji,0) * EXP( - zraext_s(ji) * MAX( 0._wp, zh_s(ji) * REAL(jk) - zhs_ssl ) ) 188 217 ! ! radiation absorbed by the layer-th snow layer 189 218 zradab_s(ji,jk) = zradtr_s(ji,jk-1) - zradtr_s(ji,jk) … … 191 220 END DO 192 221 ! 193 zradtr_i(1:npti,0) = zradtr_s(1:npti,nlay_s) * isnow(1:npti) + qtr_ice_top_1d(1:npti) * ( 1._wp - isnow(1:npti) )222 zradtr_i(1:npti,0) = zradtr_s(1:npti,nlay_s) * za_s_fra(1:npti) + qtr_ice_top_1d(1:npti) * ( 1._wp - za_s_fra(1:npti) ) 194 223 DO jk = 1, nlay_i 195 224 DO ji = 1, npti 196 225 ! ! radiation transmitted below the layer-th ice layer 197 zradtr_i(ji,jk) = zradtr_i(ji,0) * EXP( - rn_kappa_i * zh_i(ji) * REAL(jk) ) 226 zradtr_i(ji,jk) = za_s_fra(ji) * zradtr_s(ji,nlay_s) & ! part covered by snow 227 & * EXP( - rn_kappa_i * MAX( 0._wp, zh_i(ji) * REAL(jk) - zh_min ) ) & 228 & + ( 1._wp - za_s_fra(ji) ) * qtr_ice_top_1d(ji) & ! part snow free 229 & * EXP( - rn_kappa_i * MAX( 0._wp, zh_i(ji) * REAL(jk) - zhi_ssl ) ) 198 230 ! ! radiation absorbed by the layer-th ice layer 199 231 zradab_i(ji,jk) = zradtr_i(ji,jk-1) - zradtr_i(ji,jk) … … 203 235 qtr_ice_bot_1d(1:npti) = zradtr_i(1:npti,nlay_i) ! record radiation transmitted below the ice 204 236 ! 205 iconv 237 iconv = 0 ! number of iterations 206 238 ! 207 239 l_T_converged(:) = .FALSE. … … 230 262 DO ji = 1, npti 231 263 ztcond_i_cp(ji,jk) = rcnd_i + zbeta * 0.5_wp * ( sz_i_1d(ji,jk) + sz_i_1d(ji,jk+1) ) / & 232 & MIN( -epsi10, 0.5_wp * (t_i_1d(ji,jk) + t_i_1d(ji,jk+1)) - rt0 )264 & MIN( -epsi10, 0.5_wp * ( t_i_1d(ji,jk) + t_i_1d(ji,jk+1) ) - rt0 ) 233 265 END DO 234 266 END DO … … 238 270 DO ji = 1, npti 239 271 ztcond_i_cp(ji,0) = rcnd_i + 0.09_wp * sz_i_1d(ji,1) / MIN( -epsi10, t_i_1d(ji,1) - rt0 ) & 240 & - 0.011_wp * ( t_i_1d(ji,1) - rt0 )272 & - 0.011_wp * ( t_i_1d(ji,1) - rt0 ) 241 273 ztcond_i_cp(ji,nlay_i) = rcnd_i + 0.09_wp * sz_i_1d(ji,nlay_i) / MIN( -epsi10, t_bo_1d(ji) - rt0 ) & 242 & - 0.011_wp * ( t_bo_1d(ji) - rt0 )274 & - 0.011_wp * ( t_bo_1d(ji) - rt0 ) 243 275 END DO 244 276 DO jk = 1, nlay_i-1 245 277 DO ji = 1, npti 246 ztcond_i_cp(ji,jk) = rcnd_i + 0.09_wp * 0.5_wp * ( sz_i_1d(ji,jk) + sz_i_1d(ji,jk+1) ) / 247 & MIN( -epsi10, 0.5_wp * ( t_i_1d (ji,jk) + t_i_1d (ji,jk+1) ) - rt0 )&248 & - 0.011_wp * ( 0.5_wp * ( t_i_1d (ji,jk) + t_i_1d(ji,jk+1) ) - rt0 )278 ztcond_i_cp(ji,jk) = rcnd_i + 0.09_wp * 0.5_wp * ( sz_i_1d(ji,jk) + sz_i_1d(ji,jk+1) ) / & 279 & MIN( -epsi10, 0.5_wp * ( t_i_1d(ji,jk) + t_i_1d(ji,jk+1) ) - rt0 ) & 280 & - 0.011_wp * ( 0.5_wp * ( t_i_1d(ji,jk) + t_i_1d(ji,jk+1) ) - rt0 ) 249 281 END DO 250 282 END DO … … 290 322 END DO 291 323 DO ji = 1, npti ! Snow-ice interface 292 IF ( .NOT. l_T_converged(ji) ) THEN 293 zfac = 0.5_wp * ( ztcond_i(ji,0) * zh_s(ji) + rn_cnd_s * zh_i(ji) ) 294 IF( zfac > epsi10 ) THEN 295 zkappa_s(ji,nlay_s) = zghe(ji) * rn_cnd_s * ztcond_i(ji,0) / zfac 296 ELSE 297 zkappa_s(ji,nlay_s) = 0._wp 298 ENDIF 299 ENDIF 324 IF ( .NOT. l_T_converged(ji) ) & 325 zkappa_s(ji,nlay_s) = isnow(ji) * zghe(ji) * rn_cnd_s * ztcond_i(ji,0) & 326 & / ( 0.5_wp * ( ztcond_i(ji,0) * zh_s(ji) + rn_cnd_s * zh_i(ji) ) ) 300 327 END DO 301 328 … … 310 337 END DO 311 338 DO ji = 1, npti ! Snow-ice interface 312 IF ( .NOT. l_T_converged(ji) ) & 313 zkappa_i(ji,0) = zkappa_s(ji,nlay_s) * isnow(ji) + zkappa_i(ji,0) * ( 1._wp - isnow(ji) ) 339 IF ( .NOT. l_T_converged(ji) ) THEN 340 ! Calculate combined surface snow and ice conductivity to pass through the coupler (met-office) 341 zkappa_comb(ji) = isnow_comb(ji) * zkappa_s(ji,0) + ( 1._wp - isnow_comb(ji) ) * zkappa_i(ji,0) 342 ! If there is snow then use the same snow-ice interface conductivity for the top layer of ice 343 IF( h_s_1d(ji) > 0._wp ) zkappa_i(ji,0) = zkappa_s(ji,nlay_s) 344 ENDIF 314 345 END DO 315 346 ! … … 320 351 DO ji = 1, npti 321 352 zcpi = rcpi + zgamma * sz_i_1d(ji,jk) / MAX( ( t_i_1d(ji,jk) - rt0 ) * ( ztiold(ji,jk) - rt0 ), epsi10 ) 322 zeta_i(ji,jk) = rDt_ice * r1_rhoi * z1_h_i(ji) / MAX( epsi10, zcpi )353 zeta_i(ji,jk) = rDt_ice * r1_rhoi * z1_h_i(ji) / zcpi 323 354 END DO 324 355 END DO … … 544 575 ztsub(ji) = t_su_1d(ji) 545 576 IF( t_su_1d(ji) < rt0 ) THEN 546 t_su_1d(ji) = ( zindtbis(ji,jm_min(ji)) - ztrid(ji,jm_min(ji),3) * &547 & ( isnow(ji) * t_s_1d(ji,1) + ( 1._wp - isnow(ji) ) *t_i_1d(ji,1) ) ) / zdiagbis(ji,jm_min(ji))577 t_su_1d(ji) = ( zindtbis(ji,jm_min(ji)) - ztrid(ji,jm_min(ji),3) * & 578 & ( isnow(ji) * t_s_1d(ji,1) + ( 1._wp - isnow(ji) ) * t_i_1d(ji,1) ) ) / zdiagbis(ji,jm_min(ji)) 548 579 ENDIF 549 580 ENDIF 550 581 END DO 582 !clem: in order to have several layers of snow, there is a missing loop here for t_s_1d(1:nlay_s-1) 551 583 ! 552 584 !-------------------------------------------------------------- … … 561 593 562 594 IF ( .NOT. l_T_converged(ji) ) THEN 595 563 596 t_su_1d(ji) = MAX( MIN( t_su_1d(ji) , rt0 ) , rt0 - 100._wp ) 564 597 zdti_max = MAX( zdti_max, ABS( t_su_1d(ji) - ztsub(ji) ) ) 565 598 566 t_s_1d(ji,1:nlay_s) = MAX( MIN( t_s_1d(ji,1:nlay_s), rt0 ), rt0 - 100._wp ) 567 zdti_max = MAX ( zdti_max , MAXVAL( ABS( t_s_1d(ji,1:nlay_s) - ztsb(ji,1:nlay_s) ) ) ) 599 IF( h_s_1d(ji) > 0._wp ) THEN 600 DO jk = 1, nlay_s 601 t_s_1d(ji,jk) = MAX( MIN( t_s_1d(ji,jk), rt0 ), rt0 - 100._wp ) 602 zdti_max = MAX ( zdti_max , ABS( t_s_1d(ji,jk) - ztsb(ji,jk) ) ) 603 END DO 604 ENDIF 568 605 569 606 DO jk = 1, nlay_i … … 572 609 zdti_max = MAX( zdti_max, ABS( t_i_1d(ji,jk) - ztib(ji,jk) ) ) 573 610 END DO 574 575 IF ( zdti_max < zdti_bnd ) l_T_converged(ji) = .TRUE. 611 612 ! convergence test 613 IF( ln_zdf_chkcvg ) THEN 614 tice_cvgerr_1d(ji) = zdti_max 615 tice_cvgstp_1d(ji) = REAL(iconv) 616 ENDIF 617 618 IF( zdti_max < zdti_bnd ) l_T_converged(ji) = .TRUE. 576 619 577 620 ENDIF … … 726 769 ENDIF 727 770 END DO 771 !clem: in order to have several layers of snow, there is a missing loop here for t_s_1d(1:nlay_s-1) 728 772 ! 729 773 !-------------------------------------------------------------- … … 738 782 739 783 IF ( .NOT. l_T_converged(ji) ) THEN 740 ! t_s 741 t_s_1d(ji,1:nlay_s) = MAX( MIN( t_s_1d(ji,1:nlay_s), rt0 ), rt0 - 100._wp ) 742 zdti_max = MAX ( zdti_max , MAXVAL( ABS( t_s_1d(ji,1:nlay_s) - ztsb(ji,1:nlay_s) ) ) ) 743 ! t_i 784 785 IF( h_s_1d(ji) > 0._wp ) THEN 786 DO jk = 1, nlay_s 787 t_s_1d(ji,jk) = MAX( MIN( t_s_1d(ji,jk), rt0 ), rt0 - 100._wp ) 788 zdti_max = MAX ( zdti_max , ABS( t_s_1d(ji,jk) - ztsb(ji,jk) ) ) 789 END DO 790 ENDIF 791 744 792 DO jk = 1, nlay_i 745 793 ztmelts = -rTmlt * sz_i_1d(ji,jk) + rt0 … … 748 796 END DO 749 797 750 IF ( zdti_max < zdti_bnd ) l_T_converged(ji) = .TRUE. 798 ! convergence test 799 IF( ln_zdf_chkcvg ) THEN 800 tice_cvgerr_1d(ji) = zdti_max 801 tice_cvgstp_1d(ji) = REAL(iconv) 802 ENDIF 803 804 IF( zdti_max < zdti_bnd ) l_T_converged(ji) = .TRUE. 751 805 752 806 ENDIF … … 755 809 756 810 ENDIF ! k_cnd 757 811 758 812 END DO ! End of the do while iterative procedure 759 760 IF( ln_icectl .AND. lwp ) THEN761 WRITE(numout,*) ' zdti_max : ', zdti_max762 WRITE(numout,*) ' iconv : ', iconv763 ENDIF764 765 813 ! 766 814 !----------------------------- … … 771 819 ! bottom ice conduction flux 772 820 DO ji = 1, npti 773 qcn_ice_bot_1d(ji) = - zkappa_i(ji,nlay_i) * zg1 821 qcn_ice_bot_1d(ji) = - zkappa_i(ji,nlay_i) * zg1 * ( t_bo_1d(ji ) - t_i_1d (ji,nlay_i) ) 774 822 END DO 775 823 ! surface ice conduction flux … … 777 825 ! 778 826 DO ji = 1, npti 779 qcn_ice_top_1d(ji) = - isnow(ji) * zkappa_s(ji,0) * zg1s * ( t_s_1d(ji,1) - t_su_1d(ji) )&780 & 827 qcn_ice_top_1d(ji) = - isnow(ji) * zkappa_s(ji,0) * zg1s * ( t_s_1d(ji,1) - t_su_1d(ji) ) & 828 & - ( 1._wp - isnow(ji) ) * zkappa_i(ji,0) * zg1 * ( t_i_1d(ji,1) - t_su_1d(ji) ) 781 829 END DO 782 830 ! … … 792 840 ! 793 841 DO ji = 1, npti 794 t_su_1d(ji) = ( qcn_ice_top_1d(ji) & ! calculate surface temperature 795 & + isnow(ji) * zkappa_s(ji,0) * zg1s * t_s_1d(ji,1) & 796 & + ( 1._wp - isnow(ji) ) * zkappa_i(ji,0) * zg1 * t_i_1d(ji,1) & 797 & ) / MAX( epsi10, isnow(ji) * zkappa_s(ji,0) * zg1s + ( 1._wp - isnow(ji) ) * zkappa_i(ji,0) * zg1 ) 842 t_su_1d(ji) = ( qcn_ice_top_1d(ji) + isnow(ji) * zkappa_s(ji,0) * zg1s * t_s_1d(ji,1) + & 843 & ( 1._wp - isnow(ji) ) * zkappa_i(ji,0) * zg1 * t_i_1d(ji,1) ) & 844 & / MAX( epsi10, isnow(ji) * zkappa_s(ji,0) * zg1s + ( 1._wp - isnow(ji) ) * zkappa_i(ji,0) * zg1 ) 798 845 t_su_1d(ji) = MAX( MIN( t_su_1d(ji), rt0 ), rt0 - 100._wp ) ! cap t_su 799 846 END DO … … 853 900 !-------------------------------------------------------------------- 854 901 ! effective conductivity and 1st layer temperature (needed by Met Office) 902 ! this is a conductivity at mid-layer, hence the factor 2 855 903 DO ji = 1, npti 856 IF( h_s_1d(ji) > 0.1_wp ) THEN 857 cnd_ice_1d(ji) = 2._wp * zkappa_s(ji,0) 904 IF( h_i_1d(ji) >= zhi_ssl ) THEN 905 cnd_ice_1d(ji) = 2._wp * zkappa_comb(ji) 906 !!cnd_ice_1d(ji) = 2._wp * zkappa_i(ji,0) 858 907 ELSE 859 IF( h_i_1d(ji) > 0.1_wp ) THEN 860 cnd_ice_1d(ji) = 2._wp * zkappa_i(ji,0) 861 ELSE 862 cnd_ice_1d(ji) = 2._wp * ztcond_i(ji,0) * 10._wp 863 ENDIF 908 cnd_ice_1d(ji) = 2._wp * ztcond_i(ji,0) / zhi_ssl ! cnd_ice is capped by: cond_i/zhi_ssl 864 909 ENDIF 865 910 t1_ice_1d(ji) = isnow(ji) * t_s_1d(ji,1) + ( 1._wp - isnow(ji) ) * t_i_1d(ji,1) … … 877 922 DO ji = 1, npti 878 923 !--- Snow-ice interfacial temperature (diagnostic SIMIP) 879 zfac = rn_cnd_s * zh_i(ji) + ztcond_i(ji,1) * zh_s(ji) 880 IF( h_s_1d(ji) >= zhs_min ) THEN 881 t_si_1d(ji) = ( rn_cnd_s * zh_i(ji) * t_s_1d(ji,1) + & 882 & ztcond_i(ji,1) * zh_s(ji) * t_i_1d(ji,1) ) / MAX( epsi10, zfac ) 924 IF( h_s_1d(ji) >= zhs_ssl ) THEN 925 t_si_1d(ji) = ( rn_cnd_s * h_i_1d(ji) * r1_nlay_i * t_s_1d(ji,1) & 926 & + ztcond_i(ji,1) * h_s_1d(ji) * r1_nlay_s * t_i_1d(ji,1) ) & 927 & / ( rn_cnd_s * h_i_1d(ji) * r1_nlay_i & 928 & + ztcond_i(ji,1) * h_s_1d(ji) * r1_nlay_s ) 883 929 ELSE 884 930 t_si_1d(ji) = t_su_1d(ji)
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