1 | MODULE limtrp |
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2 | !!====================================================================== |
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3 | !! *** MODULE limtrp *** |
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4 | !! LIM transport ice model : sea-ice advection/diffusion |
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5 | !!====================================================================== |
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6 | !! History : LIM-2 ! 2000-01 (M.A. Morales Maqueda, H. Goosse, and T. Fichefet) Original code |
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7 | !! 3.0 ! 2005-11 (M. Vancoppenolle) Multi-layer sea ice, salinity variations |
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8 | !! 4.0 ! 2011-02 (G. Madec) dynamical allocation |
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9 | !!---------------------------------------------------------------------- |
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10 | #if defined key_lim3 |
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11 | !!---------------------------------------------------------------------- |
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12 | !! 'key_lim3' LIM3 sea-ice model |
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13 | !!---------------------------------------------------------------------- |
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14 | !! lim_trp : advection/diffusion process of sea ice |
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15 | !!---------------------------------------------------------------------- |
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16 | USE phycst ! physical constant |
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17 | USE dom_oce ! ocean domain |
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18 | USE sbc_oce ! ocean surface boundary condition |
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19 | USE par_ice ! ice parameter |
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20 | USE dom_ice ! ice domain |
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21 | USE ice ! ice variables |
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22 | USE limadv ! ice advection |
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23 | USE limhdf ! ice horizontal diffusion |
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24 | USE in_out_manager ! I/O manager |
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25 | USE lbclnk ! lateral boundary conditions -- MPP exchanges |
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26 | USE lib_mpp ! MPP library |
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27 | USE wrk_nemo ! work arrays |
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28 | USE prtctl ! Print control |
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29 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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30 | USE limvar ! clem for ice thickness correction |
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31 | USE timing ! Timing |
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32 | |
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33 | IMPLICIT NONE |
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34 | PRIVATE |
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35 | |
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36 | PUBLIC lim_trp ! called by ice_step |
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37 | |
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38 | REAL(wp) :: epsi10 = 1.e-10_wp |
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39 | REAL(wp) :: epsi20 = 1.e-20_wp |
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40 | |
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41 | !! * Substitution |
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42 | # include "vectopt_loop_substitute.h90" |
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43 | !!---------------------------------------------------------------------- |
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44 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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45 | !! $Id$ |
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46 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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47 | !!---------------------------------------------------------------------- |
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48 | CONTAINS |
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49 | |
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50 | SUBROUTINE lim_trp( kt ) |
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51 | !!------------------------------------------------------------------- |
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52 | !! *** ROUTINE lim_trp *** |
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53 | !! |
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54 | !! ** purpose : advection/diffusion process of sea ice |
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55 | !! |
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56 | !! ** method : variables included in the process are scalar, |
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57 | !! other values are considered as second order. |
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58 | !! For advection, a second order Prather scheme is used. |
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59 | !! |
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60 | !! ** action : |
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61 | !!--------------------------------------------------------------------- |
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62 | INTEGER, INTENT(in) :: kt ! number of iteration |
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63 | ! |
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64 | INTEGER :: ji, jj, jk, jl, layer ! dummy loop indices |
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65 | INTEGER :: initad ! number of sub-timestep for the advection |
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66 | INTEGER :: ierr ! error status |
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67 | REAL(wp) :: zindb , zindsn , zindic, zindh, zinda ! local scalar |
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68 | REAL(wp) :: zcfl , zusnit ! - - |
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69 | REAL(wp) :: zsal , zage ! - - |
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70 | ! |
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71 | REAL(wp), POINTER, DIMENSION(:,:) :: zui_u, zvi_v, zsm, zs0at, zs0ow |
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72 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zs0ice, zs0sn, zs0a, zs0c0 , zs0sm , zs0oi |
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73 | REAL(wp), POINTER, DIMENSION(:,:,:,:) :: zs0e |
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74 | REAL(wp) :: zchk_v_i, zchk_smv, zchk_e_i, zchk_fs, zchk_fw, zchk_ft, zchk_v_i_b, zchk_smv_b, zchk_e_i_b, zchk_fs_b, zchk_fw_b, zchk_ft_b ! Check conservation (C Rousset) |
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75 | REAL(wp) :: zchk_vmin, zchk_amin, zchk_amax, zchk_umax ! Check errors (C Rousset) |
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76 | ! mass and salt flux (clem) |
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77 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zviold, zvsold ! old ice volume... |
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78 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zaiold, zhimax ! old ice concentration and thickness |
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79 | REAL(wp), POINTER, DIMENSION(:,:) :: zeiold, zesold ! old enthalpies |
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80 | REAL(wp) :: zdv, zda, zvi, zvs, zsmv, zes, zei |
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81 | !!--------------------------------------------------------------------- |
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82 | IF( nn_timing == 1 ) CALL timing_start('limtrp') |
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83 | |
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84 | CALL wrk_alloc( jpi, jpj, zui_u, zvi_v, zsm, zs0at, zs0ow, zeiold, zesold ) |
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85 | CALL wrk_alloc( jpi, jpj, jpl, zs0ice, zs0sn, zs0a, zs0c0 , zs0sm , zs0oi ) |
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86 | CALL wrk_alloc( jpi, jpj, jkmax, jpl, zs0e ) |
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87 | |
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88 | CALL wrk_alloc( jpi, jpj, jpl, zaiold, zhimax, zviold, zvsold ) ! clem |
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89 | |
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90 | ! ------------------------------- |
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91 | !- check conservation (C Rousset) |
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92 | IF( ln_limdiahsb ) THEN |
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93 | zchk_v_i_b = glob_sum( SUM( v_i(:,:,:)*rhoic + v_s(:,:,:)*rhosn, dim=3 ) * area(:,:) * tms(:,:) ) |
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94 | zchk_smv_b = glob_sum( SUM( smv_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) |
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95 | zchk_e_i_b = glob_sum( SUM( e_i(:,:,1:nlay_i,:), dim=3 ) + SUM( e_s(:,:,1:nlay_s,:), dim=3 ) ) |
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96 | zchk_fw_b = glob_sum( ( wfx_bog(:,:) + wfx_bom(:,:) + wfx_sum(:,:) + wfx_sni(:,:) + wfx_opw(:,:) + wfx_res(:,:) + wfx_dyn(:,:) + wfx_snw(:,:) ) * area(:,:) * tms(:,:) ) |
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97 | zchk_fs_b = glob_sum( ( sfx_bri(:,:) + sfx_bog(:,:) + sfx_bom(:,:) + sfx_sum(:,:) + sfx_sni(:,:) + sfx_opw(:,:) + sfx_res(:,:) + sfx_dyn(:,:) ) * area(:,:) * tms(:,:) ) |
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98 | zchk_ft_b = glob_sum( ( hfx_tot(:,:) - hfx_thd(:,:) - hfx_dyn(:,:) - hfx_res(:,:) ) * area(:,:) / unit_fac * tms(:,:) ) |
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99 | ENDIF |
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100 | !- check conservation (C Rousset) |
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101 | ! ------------------------------- |
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102 | |
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103 | IF( numit == nstart .AND. lwp ) THEN |
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104 | WRITE(numout,*) |
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105 | IF( ln_limdyn ) THEN ; WRITE(numout,*) 'lim_trp : Ice transport ' |
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106 | ELSE ; WRITE(numout,*) 'lim_trp : No ice advection as ln_limdyn = ', ln_limdyn |
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107 | ENDIF |
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108 | WRITE(numout,*) '~~~~~~~~~~~~' |
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109 | ENDIF |
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110 | |
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111 | zsm(:,:) = area(:,:) |
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112 | |
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113 | ! !-------------------------------------! |
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114 | IF( ln_limdyn ) THEN ! Advection of sea ice properties ! |
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115 | ! !-------------------------------------! |
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116 | ! mass and salt flux init (clem) |
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117 | zviold(:,:,:) = v_i(:,:,:) |
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118 | zeiold(:,:) = SUM( SUM( e_i(:,:,1:nlay_i,:), dim=4 ), dim=3 ) |
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119 | zesold(:,:) = SUM( SUM( e_s(:,:,1:nlay_s,:), dim=4 ), dim=3 ) |
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120 | |
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121 | !--- Thickness correction init. (clem) ------------------------------- |
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122 | CALL lim_var_glo2eqv |
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123 | zaiold(:,:,:) = a_i(:,:,:) |
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124 | !--------------------------------------------------------------------- |
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125 | ! Record max of the surrounding ice thicknesses for correction in limupdate |
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126 | ! in case advection creates ice too thick. |
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127 | !--------------------------------------------------------------------- |
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128 | zhimax(:,:,:) = ht_i(:,:,:) |
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129 | DO jl = 1, jpl |
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130 | DO jj = 2, jpjm1 |
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131 | DO ji = 2, jpim1 |
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132 | zhimax(ji,jj,jl) = MAXVAL( ht_i(ji-1:ji+1,jj-1:jj+1,jl) ) |
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133 | !zhimax(ji,jj,jl) = ( ht_i(ji ,jj ,jl) * tmask(ji, jj ,1) + ht_i(ji-1,jj-1,jl) * tmask(ji-1,jj-1,1) + ht_i(ji+1,jj+1,jl) * tmask(ji+1,jj+1,1) & |
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134 | ! & + ht_i(ji-1,jj ,jl) * tmask(ji-1,jj ,1) + ht_i(ji ,jj-1,jl) * tmask(ji ,jj-1,1) & |
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135 | ! & + ht_i(ji+1,jj ,jl) * tmask(ji+1,jj ,1) + ht_i(ji ,jj+1,jl) * tmask(ji ,jj+1,1) & |
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136 | ! & + ht_i(ji-1,jj+1,jl) * tmask(ji-1,jj+1,1) + ht_i(ji+1,jj-1,jl) * tmask(ji+1,jj-1,1) ) |
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137 | END DO |
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138 | END DO |
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139 | CALL lbc_lnk(zhimax(:,:,jl),'T',1.) |
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140 | END DO |
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141 | |
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142 | !------------------------- |
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143 | ! transported fields |
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144 | !------------------------- |
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145 | ! Snow vol, ice vol, salt and age contents, area |
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146 | zs0ow(:,:) = ato_i(:,:) * area(:,:) ! Open water area |
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147 | DO jl = 1, jpl |
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148 | zs0sn (:,:,jl) = v_s (:,:,jl) * area(:,:) ! Snow volume |
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149 | zs0ice(:,:,jl) = v_i (:,:,jl) * area(:,:) ! Ice volume |
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150 | zs0a (:,:,jl) = a_i (:,:,jl) * area(:,:) ! Ice area |
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151 | zs0sm (:,:,jl) = smv_i(:,:,jl) * area(:,:) ! Salt content |
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152 | zs0oi (:,:,jl) = oa_i (:,:,jl) * area(:,:) ! Age content |
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153 | zs0c0 (:,:,jl) = e_s (:,:,1,jl) ! Snow heat content |
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154 | zs0e (:,:,:,jl) = e_i (:,:,:,jl) ! Ice heat content |
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155 | END DO |
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156 | |
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157 | !-------------------------- |
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158 | ! Advection of Ice fields (Prather scheme) |
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159 | !-------------------------- |
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160 | ! If ice drift field is too fast, use an appropriate time step for advection. |
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161 | ! CFL test for stability |
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162 | zcfl = MAXVAL( ABS( u_ice(:,:) ) * rdt_ice / e1u(:,:) ) |
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163 | zcfl = MAX( zcfl, MAXVAL( ABS( v_ice(:,:) ) * rdt_ice / e2v(:,:) ) ) |
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164 | IF(lk_mpp ) CALL mpp_max( zcfl ) |
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165 | !!gm more readability: |
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166 | ! IF( zcfl > 0.5 ) THEN ; initad = 2 ; zusnit = 0.5_wp |
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167 | ! ELSE ; initad = 1 ; zusnit = 1.0_wp |
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168 | ! ENDIF |
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169 | !!gm end |
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170 | initad = 1 + NINT( MAX( 0._wp, SIGN( 1._wp, zcfl-0.5 ) ) ) |
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171 | zusnit = 1.0 / REAL( initad ) |
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172 | IF( zcfl > 0.5 .AND. lwp ) & |
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173 | WRITE(numout,*) 'lim_trp : CFL violation at day ', nday, ', cfl = ', zcfl, & |
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174 | & ': the ice time stepping is split in two' |
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175 | |
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176 | IF( MOD( ( kt - 1) / nn_fsbc , 2 ) == 0 ) THEN !== odd ice time step: adv_x then adv_y ==! |
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177 | DO jk = 1,initad |
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178 | CALL lim_adv_x( zusnit, u_ice, 1._wp , zsm, zs0ow (:,:), sxopw(:,:), & !--- ice open water area |
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179 | & sxxopw(:,:), syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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180 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zsm, zs0ow (:,:), sxopw(:,:), & |
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181 | & sxxopw(:,:), syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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182 | DO jl = 1, jpl |
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183 | CALL lim_adv_x( zusnit, u_ice, 1._wp , zsm, zs0ice(:,:,jl), sxice(:,:,jl), & !--- ice volume --- |
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184 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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185 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zsm, zs0ice(:,:,jl), sxice(:,:,jl), & |
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186 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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187 | CALL lim_adv_x( zusnit, u_ice, 1._wp , zsm, zs0sn (:,:,jl), sxsn (:,:,jl), & !--- snow volume --- |
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188 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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189 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zsm, zs0sn (:,:,jl), sxsn (:,:,jl), & |
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190 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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191 | CALL lim_adv_x( zusnit, u_ice, 1._wp , zsm, zs0sm (:,:,jl), sxsal(:,:,jl), & !--- ice salinity --- |
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192 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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193 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zsm, zs0sm (:,:,jl), sxsal(:,:,jl), & |
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194 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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195 | CALL lim_adv_x( zusnit, u_ice, 1._wp , zsm, zs0oi (:,:,jl), sxage(:,:,jl), & !--- ice age --- |
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196 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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197 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zsm, zs0oi (:,:,jl), sxage(:,:,jl), & |
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198 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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199 | CALL lim_adv_x( zusnit, u_ice, 1._wp , zsm, zs0a (:,:,jl), sxa (:,:,jl), & !--- ice concentrations --- |
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200 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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201 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zsm, zs0a (:,:,jl), sxa (:,:,jl), & |
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202 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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203 | CALL lim_adv_x( zusnit, u_ice, 1._wp , zsm, zs0c0 (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents --- |
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204 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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205 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zsm, zs0c0 (:,:,jl), sxc0 (:,:,jl), & |
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206 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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207 | DO layer = 1, nlay_i !--- ice heat contents --- |
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208 | CALL lim_adv_x( zusnit, u_ice, 1._wp , zsm, zs0e(:,:,layer,jl), sxe (:,:,layer,jl), & |
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209 | & sxxe(:,:,layer,jl), sye (:,:,layer,jl), & |
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210 | & syye(:,:,layer,jl), sxye(:,:,layer,jl) ) |
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211 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zsm, zs0e(:,:,layer,jl), sxe (:,:,layer,jl), & |
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212 | & sxxe(:,:,layer,jl), sye (:,:,layer,jl), & |
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213 | & syye(:,:,layer,jl), sxye(:,:,layer,jl) ) |
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214 | END DO |
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215 | END DO |
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216 | END DO |
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217 | ELSE |
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218 | DO jk = 1, initad |
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219 | CALL lim_adv_y( zusnit, v_ice, 1._wp , zsm, zs0ow (:,:), sxopw(:,:), & !--- ice open water area |
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220 | & sxxopw(:,:), syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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221 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zsm, zs0ow (:,:), sxopw(:,:), & |
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222 | & sxxopw(:,:), syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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223 | DO jl = 1, jpl |
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224 | CALL lim_adv_y( zusnit, v_ice, 1._wp , zsm, zs0ice(:,:,jl), sxice(:,:,jl), & !--- ice volume --- |
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225 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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226 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zsm, zs0ice(:,:,jl), sxice(:,:,jl), & |
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227 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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228 | CALL lim_adv_y( zusnit, v_ice, 1._wp , zsm, zs0sn (:,:,jl), sxsn (:,:,jl), & !--- snow volume --- |
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229 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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230 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zsm, zs0sn (:,:,jl), sxsn (:,:,jl), & |
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231 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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232 | CALL lim_adv_y( zusnit, v_ice, 1._wp , zsm, zs0sm (:,:,jl), sxsal(:,:,jl), & !--- ice salinity --- |
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233 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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234 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zsm, zs0sm (:,:,jl), sxsal(:,:,jl), & |
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235 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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236 | |
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237 | CALL lim_adv_y( zusnit, v_ice, 1._wp , zsm, zs0oi (:,:,jl), sxage(:,:,jl), & !--- ice age --- |
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238 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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239 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zsm, zs0oi (:,:,jl), sxage(:,:,jl), & |
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240 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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241 | CALL lim_adv_y( zusnit, v_ice, 1._wp , zsm, zs0a (:,:,jl), sxa (:,:,jl), & !--- ice concentrations --- |
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242 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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243 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zsm, zs0a (:,:,jl), sxa (:,:,jl), & |
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244 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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245 | CALL lim_adv_y( zusnit, v_ice, 1._wp , zsm, zs0c0 (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents --- |
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246 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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247 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zsm, zs0c0 (:,:,jl), sxc0 (:,:,jl), & |
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248 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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249 | DO layer = 1, nlay_i !--- ice heat contents --- |
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250 | CALL lim_adv_y( zusnit, v_ice, 1._wp , zsm, zs0e(:,:,layer,jl), sxe (:,:,layer,jl), & |
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251 | & sxxe(:,:,layer,jl), sye (:,:,layer,jl), & |
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252 | & syye(:,:,layer,jl), sxye(:,:,layer,jl) ) |
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253 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zsm, zs0e(:,:,layer,jl), sxe (:,:,layer,jl), & |
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254 | & sxxe(:,:,layer,jl), sye (:,:,layer,jl), & |
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255 | & syye(:,:,layer,jl), sxye(:,:,layer,jl) ) |
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256 | END DO |
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257 | END DO |
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258 | END DO |
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259 | ENDIF |
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260 | |
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261 | !------------------------------------------- |
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262 | ! Recover the properties from their contents |
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263 | !------------------------------------------- |
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264 | zs0ow(:,:) = zs0ow(:,:) / area(:,:) |
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265 | DO jl = 1, jpl |
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266 | zs0ice(:,:,jl) = zs0ice(:,:,jl) / area(:,:) |
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267 | zs0sn (:,:,jl) = zs0sn (:,:,jl) / area(:,:) |
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268 | zs0sm (:,:,jl) = zs0sm (:,:,jl) / area(:,:) |
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269 | zs0oi (:,:,jl) = zs0oi (:,:,jl) / area(:,:) |
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270 | zs0a (:,:,jl) = zs0a (:,:,jl) / area(:,:) |
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271 | ! |
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272 | END DO |
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273 | |
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274 | !------------------------------------------------------------------------------! |
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275 | ! 4) Diffusion of Ice fields |
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276 | !------------------------------------------------------------------------------! |
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277 | |
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278 | !-------------------------------- |
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279 | ! diffusion of open water area |
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280 | !-------------------------------- |
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281 | zs0at(:,:) = zs0a(:,:,1) ! total ice fraction |
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282 | DO jl = 2, jpl |
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283 | zs0at(:,:) = zs0at(:,:) + zs0a(:,:,jl) |
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284 | END DO |
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285 | ! |
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286 | ! ! Masked eddy diffusivity coefficient at ocean U- and V-points |
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287 | DO jj = 1, jpjm1 ! NB: has not to be defined on jpj line and jpi row |
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288 | DO ji = 1 , fs_jpim1 ! vector opt. |
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289 | pahu(ji,jj) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -zs0at(ji ,jj) ) ) ) & |
---|
290 | & * ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -zs0at(ji+1,jj) ) ) ) * ahiu(ji,jj) |
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291 | pahv(ji,jj) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -zs0at(ji,jj ) ) ) ) & |
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292 | & * ( 1._wp - MAX( 0._wp, SIGN( 1._wp,- zs0at(ji,jj+1) ) ) ) * ahiv(ji,jj) |
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293 | END DO |
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294 | END DO |
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295 | ! |
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296 | CALL lim_hdf( zs0ow (:,:) ) ! Diffusion |
---|
297 | |
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298 | !------------------------------------ |
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299 | ! Diffusion of other ice variables |
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300 | !------------------------------------ |
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301 | DO jl = 1, jpl |
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302 | ! ! Masked eddy diffusivity coefficient at ocean U- and V-points |
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303 | DO jj = 1, jpjm1 ! NB: has not to be defined on jpj line and jpi row |
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304 | DO ji = 1 , fs_jpim1 ! vector opt. |
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305 | pahu(ji,jj) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -zs0a(ji ,jj,jl) ) ) ) & |
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306 | & * ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -zs0a(ji+1,jj,jl) ) ) ) * ahiu(ji,jj) |
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307 | pahv(ji,jj) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -zs0a(ji,jj ,jl) ) ) ) & |
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308 | & * ( 1._wp - MAX( 0._wp, SIGN( 1._wp,- zs0a(ji,jj+1,jl) ) ) ) * ahiv(ji,jj) |
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309 | END DO |
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310 | END DO |
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311 | |
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312 | CALL lim_hdf( zs0ice (:,:,jl) ) |
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313 | CALL lim_hdf( zs0sn (:,:,jl) ) |
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314 | CALL lim_hdf( zs0sm (:,:,jl) ) |
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315 | CALL lim_hdf( zs0oi (:,:,jl) ) |
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316 | CALL lim_hdf( zs0a (:,:,jl) ) |
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317 | CALL lim_hdf( zs0c0 (:,:,jl) ) |
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318 | DO jk = 1, nlay_i |
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319 | CALL lim_hdf( zs0e (:,:,jk,jl) ) |
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320 | END DO |
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321 | END DO |
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322 | |
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323 | !------------------------------------------------------------------------------! |
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324 | ! 5) Update and limit ice properties after transport |
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325 | !------------------------------------------------------------------------------! |
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326 | |
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327 | !-------------------------------------------------- |
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328 | ! 5.1) Recover mean values over the grid squares. |
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329 | !-------------------------------------------------- |
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330 | zs0at(:,:) = 0._wp |
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331 | DO jl = 1, jpl |
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332 | DO jj = 1, jpj |
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333 | DO ji = 1, jpi |
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334 | zs0sn (ji,jj,jl) = MAX( 0._wp, zs0sn (ji,jj,jl) ) |
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335 | zs0ice(ji,jj,jl) = MAX( 0._wp, zs0ice(ji,jj,jl) ) |
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336 | zs0sm (ji,jj,jl) = MAX( 0._wp, zs0sm (ji,jj,jl) ) |
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337 | zs0oi (ji,jj,jl) = MAX( 0._wp, zs0oi (ji,jj,jl) ) |
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338 | zs0a (ji,jj,jl) = MAX( 0._wp, zs0a (ji,jj,jl) ) |
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339 | zs0c0 (ji,jj,jl) = MAX( 0._wp, zs0c0 (ji,jj,jl) ) |
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340 | zs0at (ji,jj) = zs0at(ji,jj) + zs0a(ji,jj,jl) |
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341 | END DO |
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342 | END DO |
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343 | END DO |
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344 | |
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345 | !--------------------------------------------------------- |
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346 | ! 5.2) Update and mask variables |
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347 | !--------------------------------------------------------- |
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348 | DO jl = 1, jpl |
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349 | DO jj = 1, jpj |
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350 | DO ji = 1, jpi |
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351 | zindb= MAX( 0._wp , SIGN( 1._wp, zs0a(ji,jj,jl) - epsi10 ) ) |
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352 | |
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353 | zvi = zs0ice(ji,jj,jl) |
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354 | zvs = zs0sn (ji,jj,jl) |
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355 | zes = zs0c0 (ji,jj,jl) |
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356 | zsmv = zs0sm (ji,jj,jl) |
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357 | ! |
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358 | ! Remove very small areas |
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359 | v_s(ji,jj,jl) = zindb * zs0sn (ji,jj,jl) |
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360 | v_i(ji,jj,jl) = zindb * zs0ice(ji,jj,jl) |
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361 | a_i(ji,jj,jl) = zindb * zs0a (ji,jj,jl) |
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362 | e_s(ji,jj,1,jl) = zindb * zs0c0 (ji,jj,jl) |
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363 | ! Ice salinity and age |
---|
364 | IF( num_sal == 2 ) THEN |
---|
365 | smv_i(ji,jj,jl) = MAX( MIN( s_i_max * v_i(ji,jj,jl), zsmv ), s_i_min * v_i(ji,jj,jl) ) |
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366 | ENDIF |
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367 | oa_i(ji,jj,jl) = MAX( zindb * zs0oi(ji,jj,jl) / MAX( a_i(ji,jj,jl), epsi10 ), 0._wp ) * a_i(ji,jj,jl) |
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368 | |
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369 | ! Update fluxes |
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370 | wfx_res(ji,jj) = wfx_res(ji,jj) + ( v_i(ji,jj,jl) - zvi ) * rhoic * r1_rdtice |
---|
371 | wfx_snw(ji,jj) = wfx_snw(ji,jj) + ( v_s(ji,jj,jl) - zvs ) * rhosn * r1_rdtice |
---|
372 | sfx_res(ji,jj) = sfx_res(ji,jj) - ( smv_i(ji,jj,jl) - zsmv ) * rhoic * r1_rdtice |
---|
373 | hfx_res(ji,jj) = hfx_res(ji,jj) + ( e_s(ji,jj,1,jl) - zes ) * unit_fac / area(ji,jj) * r1_rdtice ! W.m-2 <0 |
---|
374 | END DO |
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375 | END DO |
---|
376 | END DO |
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377 | |
---|
378 | DO jl = 1, jpl |
---|
379 | DO jk = 1, nlay_i |
---|
380 | DO jj = 1, jpj |
---|
381 | DO ji = 1, jpi |
---|
382 | zindb = MAX( 0._wp , SIGN( 1._wp, zs0a(ji,jj,jl) - epsi10 ) ) |
---|
383 | zei = zs0e(ji,jj,jk,jl) |
---|
384 | e_i(ji,jj,jk,jl) = zindb * MAX( 0._wp, zs0e(ji,jj,jk,jl) ) |
---|
385 | ! Update fluxes |
---|
386 | hfx_res(ji,jj) = hfx_res(ji,jj) + ( e_i(ji,jj,jk,jl) - zei ) * unit_fac / area(ji,jj) * r1_rdtice ! W.m-2 <0 |
---|
387 | END DO !ji |
---|
388 | END DO ! jj |
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389 | END DO ! jk |
---|
390 | END DO ! jl |
---|
391 | |
---|
392 | !--- Thickness correction in case too high (clem) -------------------------------------------------------- |
---|
393 | CALL lim_var_glo2eqv |
---|
394 | DO jl = 1, jpl |
---|
395 | DO jj = 1, jpj |
---|
396 | DO ji = 1, jpi |
---|
397 | |
---|
398 | IF ( v_i(ji,jj,jl) > 0._wp ) THEN |
---|
399 | zvi = v_i (ji,jj,jl) |
---|
400 | zvs = v_s (ji,jj,jl) |
---|
401 | zsmv = smv_i(ji,jj,jl) |
---|
402 | zes = e_s (ji,jj,1,jl) |
---|
403 | zei = SUM( e_i(ji,jj,:,jl) ) |
---|
404 | zdv = v_i(ji,jj,jl) - zviold(ji,jj,jl) |
---|
405 | !zda = a_i(ji,jj,jl) - zaiold(ji,jj,jl) |
---|
406 | |
---|
407 | zindh = 1._wp |
---|
408 | IF ( ( zdv > 0.0 .AND. ht_i(ji,jj,jl) > zhimax(ji,jj,jl) .AND. SUM( zaiold(ji,jj,1:jpl) ) < 0.80 ) .OR. & |
---|
409 | & ( zdv < 0.0 .AND. ht_i(ji,jj,jl) > zhimax(ji,jj,jl) ) ) THEN |
---|
410 | ht_i(ji,jj,jl) = MIN( zhimax(ji,jj,jl), hi_max(jl) ) |
---|
411 | zindh = MAX( 0._wp, SIGN( 1._wp, ht_i(ji,jj,jl) - epsi20 ) ) |
---|
412 | a_i(ji,jj,jl) = zindh * v_i(ji,jj,jl) / MAX( ht_i(ji,jj,jl), epsi20 ) |
---|
413 | ELSE |
---|
414 | ht_i(ji,jj,jl) = MAX( MIN( ht_i(ji,jj,jl), hi_max(jl) ), hi_max(jl-1) ) |
---|
415 | zindh = MAX( 0._wp, SIGN( 1._wp, ht_i(ji,jj,jl) - epsi20 ) ) |
---|
416 | a_i(ji,jj,jl) = zindh * v_i(ji,jj,jl) / MAX( ht_i(ji,jj,jl), epsi20 ) |
---|
417 | ENDIF |
---|
418 | |
---|
419 | ! small correction due to *zindh for a_i |
---|
420 | v_i (ji,jj,jl) = zindh * v_i (ji,jj,jl) |
---|
421 | v_s (ji,jj,jl) = zindh * v_s (ji,jj,jl) |
---|
422 | smv_i(ji,jj,jl) = zindh * smv_i(ji,jj,jl) |
---|
423 | e_s(ji,jj,1,jl) = zindh * e_s(ji,jj,1,jl) |
---|
424 | e_i(ji,jj,:,jl) = zindh * e_i(ji,jj,:,jl) |
---|
425 | |
---|
426 | ! Update mass fluxes |
---|
427 | wfx_res(ji,jj) = wfx_res(ji,jj) + ( v_i(ji,jj,jl) - zvi ) * rhoic * r1_rdtice |
---|
428 | wfx_snw(ji,jj) = wfx_snw(ji,jj) + ( v_s(ji,jj,jl) - zvs ) * rhosn * r1_rdtice |
---|
429 | sfx_res(ji,jj) = sfx_res(ji,jj) - ( smv_i(ji,jj,jl) - zsmv ) * rhoic * r1_rdtice |
---|
430 | hfx_res(ji,jj) = hfx_res(ji,jj) + ( e_s(ji,jj,1,jl) - zes ) * unit_fac / area(ji,jj) * r1_rdtice ! W.m-2 <0 |
---|
431 | hfx_res(ji,jj) = hfx_res(ji,jj) + ( SUM( e_i(ji,jj,:,jl) ) - zei ) * unit_fac / area(ji,jj) * r1_rdtice ! W.m-2 <0 |
---|
432 | |
---|
433 | ENDIF |
---|
434 | |
---|
435 | diag_trp_vi(ji,jj) = diag_trp_vi(ji,jj) + ( v_i(ji,jj,jl) - zviold(ji,jj,jl) ) * r1_rdtice |
---|
436 | diag_trp_vs(ji,jj) = diag_trp_vs(ji,jj) + ( v_s(ji,jj,jl) - zvsold(ji,jj,jl) ) * r1_rdtice |
---|
437 | |
---|
438 | END DO |
---|
439 | END DO |
---|
440 | END DO |
---|
441 | ! ------------------------------------------------- |
---|
442 | |
---|
443 | ! --- diags --- |
---|
444 | DO jj = 1, jpj |
---|
445 | DO ji = 1, jpi |
---|
446 | diag_trp_ei(ji,jj) = ( SUM( e_i(ji,jj,1:nlay_i,:) ) - zeiold(ji,jj) ) / area(ji,jj) * unit_fac * r1_rdtice |
---|
447 | diag_trp_es(ji,jj) = ( SUM( e_s(ji,jj,1:nlay_s,:) ) - zesold(ji,jj) ) / area(ji,jj) * unit_fac * r1_rdtice |
---|
448 | END DO |
---|
449 | END DO |
---|
450 | |
---|
451 | ! --- agglomerate variables (clem) ----------------- |
---|
452 | vt_i (:,:) = 0._wp |
---|
453 | vt_s (:,:) = 0._wp |
---|
454 | at_i (:,:) = 0._wp |
---|
455 | ! |
---|
456 | DO jl = 1, jpl |
---|
457 | DO jj = 1, jpj |
---|
458 | DO ji = 1, jpi |
---|
459 | ! |
---|
460 | vt_i(ji,jj) = vt_i(ji,jj) + v_i(ji,jj,jl) ! ice volume |
---|
461 | vt_s(ji,jj) = vt_s(ji,jj) + v_s(ji,jj,jl) ! snow volume |
---|
462 | at_i(ji,jj) = at_i(ji,jj) + a_i(ji,jj,jl) ! ice concentration |
---|
463 | END DO |
---|
464 | END DO |
---|
465 | END DO |
---|
466 | ! ------------------------------------------------- |
---|
467 | |
---|
468 | ! open water |
---|
469 | DO jj = 1, jpj |
---|
470 | DO ji = 1, jpi |
---|
471 | ! open water = 1 if at_i=0 |
---|
472 | zindb = MAX( 0._wp , SIGN( 1._wp, - at_i(ji,jj) ) ) |
---|
473 | ato_i(ji,jj) = zindb + (1._wp - zindb ) * zs0ow(ji,jj) |
---|
474 | END DO |
---|
475 | END DO |
---|
476 | |
---|
477 | ENDIF |
---|
478 | |
---|
479 | IF(ln_ctl) THEN ! Control print |
---|
480 | CALL prt_ctl_info(' ') |
---|
481 | CALL prt_ctl_info(' - Cell values : ') |
---|
482 | CALL prt_ctl_info(' ~~~~~~~~~~~~~ ') |
---|
483 | CALL prt_ctl(tab2d_1=area , clinfo1=' lim_trp : cell area :') |
---|
484 | CALL prt_ctl(tab2d_1=at_i , clinfo1=' lim_trp : at_i :') |
---|
485 | CALL prt_ctl(tab2d_1=vt_i , clinfo1=' lim_trp : vt_i :') |
---|
486 | CALL prt_ctl(tab2d_1=vt_s , clinfo1=' lim_trp : vt_s :') |
---|
487 | DO jl = 1, jpl |
---|
488 | CALL prt_ctl_info(' ') |
---|
489 | CALL prt_ctl_info(' - Category : ', ivar1=jl) |
---|
490 | CALL prt_ctl_info(' ~~~~~~~~~~') |
---|
491 | CALL prt_ctl(tab2d_1=a_i (:,:,jl) , clinfo1= ' lim_trp : a_i : ') |
---|
492 | CALL prt_ctl(tab2d_1=ht_i (:,:,jl) , clinfo1= ' lim_trp : ht_i : ') |
---|
493 | CALL prt_ctl(tab2d_1=ht_s (:,:,jl) , clinfo1= ' lim_trp : ht_s : ') |
---|
494 | CALL prt_ctl(tab2d_1=v_i (:,:,jl) , clinfo1= ' lim_trp : v_i : ') |
---|
495 | CALL prt_ctl(tab2d_1=v_s (:,:,jl) , clinfo1= ' lim_trp : v_s : ') |
---|
496 | CALL prt_ctl(tab2d_1=e_s (:,:,1,jl) , clinfo1= ' lim_trp : e_s : ') |
---|
497 | CALL prt_ctl(tab2d_1=t_su (:,:,jl) , clinfo1= ' lim_trp : t_su : ') |
---|
498 | CALL prt_ctl(tab2d_1=t_s (:,:,1,jl) , clinfo1= ' lim_trp : t_snow : ') |
---|
499 | CALL prt_ctl(tab2d_1=sm_i (:,:,jl) , clinfo1= ' lim_trp : sm_i : ') |
---|
500 | CALL prt_ctl(tab2d_1=smv_i (:,:,jl) , clinfo1= ' lim_trp : smv_i : ') |
---|
501 | DO jk = 1, nlay_i |
---|
502 | CALL prt_ctl_info(' ') |
---|
503 | CALL prt_ctl_info(' - Layer : ', ivar1=jk) |
---|
504 | CALL prt_ctl_info(' ~~~~~~~') |
---|
505 | CALL prt_ctl(tab2d_1=t_i(:,:,jk,jl) , clinfo1= ' lim_trp : t_i : ') |
---|
506 | CALL prt_ctl(tab2d_1=e_i(:,:,jk,jl) , clinfo1= ' lim_trp : e_i : ') |
---|
507 | END DO |
---|
508 | END DO |
---|
509 | ENDIF |
---|
510 | ! ------------------------------- |
---|
511 | !- check conservation (C Rousset) |
---|
512 | IF( ln_limdiahsb ) THEN |
---|
513 | zchk_fs = glob_sum( ( sfx_bri(:,:) + sfx_bog(:,:) + sfx_bom(:,:) + sfx_sum(:,:) + sfx_sni(:,:) + sfx_opw(:,:) + sfx_res(:,:) + sfx_dyn(:,:) ) * area(:,:) * tms(:,:) ) - zchk_fs_b |
---|
514 | zchk_fw = glob_sum( ( wfx_bog(:,:) + wfx_bom(:,:) + wfx_sum(:,:) + wfx_sni(:,:) + wfx_opw(:,:) + wfx_res(:,:) + wfx_dyn(:,:) + wfx_snw(:,:) ) * area(:,:) * tms(:,:) ) - zchk_fw_b |
---|
515 | zchk_ft = glob_sum( ( hfx_tot(:,:) - hfx_thd(:,:) - hfx_dyn(:,:) - hfx_res(:,:) ) * area(:,:) / unit_fac * tms(:,:) ) - zchk_ft_b |
---|
516 | |
---|
517 | zchk_v_i = ( glob_sum( SUM( v_i(:,:,:)*rhoic + v_s(:,:,:)*rhosn, dim=3 ) * area(:,:) * tms(:,:) ) - zchk_v_i_b ) * r1_rdtice - zchk_fw |
---|
518 | zchk_smv = ( glob_sum( SUM( smv_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) - zchk_smv_b ) * r1_rdtice + ( zchk_fs / rhoic ) |
---|
519 | zchk_e_i = glob_sum( SUM( e_i(:,:,1:nlay_i,:), dim=3 ) + SUM( e_s(:,:,1:nlay_s,:), dim=3 ) ) * r1_rdtice - zchk_e_i_b * r1_rdtice + zchk_ft |
---|
520 | |
---|
521 | zchk_vmin = glob_min(v_i) |
---|
522 | zchk_amax = glob_max(SUM(a_i,dim=3)) |
---|
523 | zchk_amin = glob_min(a_i) |
---|
524 | zchk_umax = glob_max(SQRT(u_ice**2 + v_ice**2)) |
---|
525 | |
---|
526 | IF(lwp) THEN |
---|
527 | IF ( ABS( zchk_v_i ) > 1.e-4 ) THEN |
---|
528 | WRITE(numout,*) 'violation volume [kg/day] (limtrp) = ',(zchk_v_i * rday) |
---|
529 | WRITE(numout,*) 'u_ice max [m/s] (limtrp) = ',zchk_umax |
---|
530 | WRITE(numout,*) 'number of time steps (limtrp) =',kt |
---|
531 | ENDIF |
---|
532 | IF ( ABS( zchk_smv ) > 1.e-4 ) WRITE(numout,*) 'violation saline [psu*m3/day] (limtrp) = ',(zchk_smv * rday) |
---|
533 | IF ( ABS( zchk_e_i ) > 1.e-2 ) WRITE(numout,*) 'violation enthalpy [1e9 J] (limtrp) = ',(zchk_e_i) |
---|
534 | IF ( zchk_vmin < 0. ) WRITE(numout,*) 'violation v_i<0 [mm] (limtrp) = ',(zchk_vmin * 1.e-3) |
---|
535 | IF ( zchk_amin < 0. ) WRITE(numout,*) 'violation a_i<0 (limtrp) = ',zchk_amin |
---|
536 | ENDIF |
---|
537 | ENDIF |
---|
538 | !- check conservation (C Rousset) |
---|
539 | ! ------------------------------- |
---|
540 | ! |
---|
541 | CALL wrk_dealloc( jpi, jpj, zui_u, zvi_v, zsm, zs0at, zs0ow, zeiold, zesold ) |
---|
542 | CALL wrk_dealloc( jpi, jpj, jpl, zs0ice, zs0sn, zs0a, zs0c0 , zs0sm , zs0oi ) |
---|
543 | CALL wrk_dealloc( jpi, jpj, jkmax, jpl, zs0e ) |
---|
544 | |
---|
545 | CALL wrk_dealloc( jpi, jpj, jpl, zviold, zvsold, zaiold, zhimax ) ! clem |
---|
546 | ! |
---|
547 | IF( nn_timing == 1 ) CALL timing_stop('limtrp') |
---|
548 | END SUBROUTINE lim_trp |
---|
549 | |
---|
550 | #else |
---|
551 | !!---------------------------------------------------------------------- |
---|
552 | !! Default option Empty Module No sea-ice model |
---|
553 | !!---------------------------------------------------------------------- |
---|
554 | CONTAINS |
---|
555 | SUBROUTINE lim_trp ! Empty routine |
---|
556 | END SUBROUTINE lim_trp |
---|
557 | #endif |
---|
558 | |
---|
559 | !!====================================================================== |
---|
560 | END MODULE limtrp |
---|