1 | MODULE icevar |
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2 | !!====================================================================== |
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3 | !! *** MODULE icevar *** |
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4 | !! sea-ice: series of functions to transform or compute ice variables |
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5 | !!====================================================================== |
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6 | !! History : - ! 2006-01 (M. Vancoppenolle) Original code |
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7 | !! 4.0 ! 2018 (many people) SI3 [aka Sea Ice cube] |
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8 | !!---------------------------------------------------------------------- |
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9 | #if defined key_si3 |
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10 | !!---------------------------------------------------------------------- |
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11 | !! 'key_si3' SI3 sea-ice model |
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12 | !!---------------------------------------------------------------------- |
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13 | !! |
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14 | !! There are three sets of variables |
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15 | !! VGLO : global variables of the model |
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16 | !! - v_i (jpi,jpj,jpl) |
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17 | !! - v_s (jpi,jpj,jpl) |
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18 | !! - a_i (jpi,jpj,jpl) |
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19 | !! - t_s (jpi,jpj,jpl) |
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20 | !! - e_i (jpi,jpj,nlay_i,jpl) |
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21 | !! - e_s (jpi,jpj,nlay_s,jpl) |
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22 | !! - sv_i(jpi,jpj,jpl) |
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23 | !! - oa_i(jpi,jpj,jpl) |
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24 | !! VEQV : equivalent variables sometimes used in the model |
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25 | !! - h_i(jpi,jpj,jpl) |
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26 | !! - h_s(jpi,jpj,jpl) |
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27 | !! - t_i(jpi,jpj,nlay_i,jpl) |
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28 | !! ... |
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29 | !! VAGG : aggregate variables, averaged/summed over all |
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30 | !! thickness categories |
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31 | !! - vt_i(jpi,jpj) |
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32 | !! - vt_s(jpi,jpj) |
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33 | !! - at_i(jpi,jpj) |
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34 | !! - st_i(jpi,jpj) |
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35 | !! - et_s(jpi,jpj) total snow heat content |
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36 | !! - et_i(jpi,jpj) total ice thermal content |
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37 | !! - sm_i(jpi,jpj) mean ice salinity |
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38 | !! - tm_i(jpi,jpj) mean ice temperature |
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39 | !! - tm_s(jpi,jpj) mean snw temperature |
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40 | !!---------------------------------------------------------------------- |
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41 | !! ice_var_agg : integrate variables over layers and categories |
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42 | !! ice_var_glo2eqv : transform from VGLO to VEQV |
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43 | !! ice_var_eqv2glo : transform from VEQV to VGLO |
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44 | !! ice_var_salprof : salinity profile in the ice |
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45 | !! ice_var_salprof1d : salinity profile in the ice 1D |
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46 | !! ice_var_zapsmall : remove very small area and volume |
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47 | !! ice_var_zapneg : remove negative ice fields |
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48 | !! ice_var_roundoff : remove negative values arising from roundoff erros |
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49 | !! ice_var_bv : brine volume |
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50 | !! ice_var_enthalpy : compute ice and snow enthalpies from temperature |
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51 | !! ice_var_sshdyn : compute equivalent ssh in lead |
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52 | !! ice_var_itd : convert N-cat to M-cat |
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53 | !! ice_var_snwfra : fraction of ice covered by snow |
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54 | !! ice_var_snwblow : distribute snow fall between ice and ocean |
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55 | !!---------------------------------------------------------------------- |
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56 | USE dom_oce ! ocean space and time domain |
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57 | USE phycst ! physical constants (ocean directory) |
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58 | USE sbc_oce , ONLY : sss_m, ln_ice_embd, nn_fsbc |
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59 | USE ice ! sea-ice: variables |
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60 | USE ice1D ! sea-ice: thermodynamics variables |
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61 | ! |
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62 | USE in_out_manager ! I/O manager |
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63 | USE lib_mpp ! MPP library |
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64 | USE lib_fortran ! fortran utilities (glob_sum + no signed zero) |
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65 | |
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66 | IMPLICIT NONE |
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67 | PRIVATE |
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68 | |
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69 | PUBLIC ice_var_agg |
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70 | PUBLIC ice_var_glo2eqv |
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71 | PUBLIC ice_var_eqv2glo |
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72 | PUBLIC ice_var_salprof |
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73 | PUBLIC ice_var_salprof1d |
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74 | PUBLIC ice_var_zapsmall |
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75 | PUBLIC ice_var_zapneg |
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76 | PUBLIC ice_var_roundoff |
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77 | PUBLIC ice_var_bv |
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78 | PUBLIC ice_var_enthalpy |
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79 | PUBLIC ice_var_sshdyn |
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80 | PUBLIC ice_var_itd |
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81 | PUBLIC ice_var_snwfra |
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82 | PUBLIC ice_var_snwblow |
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83 | |
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84 | INTERFACE ice_var_itd |
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85 | MODULE PROCEDURE ice_var_itd_1c1c, ice_var_itd_Nc1c, ice_var_itd_1cMc, ice_var_itd_NcMc |
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86 | END INTERFACE |
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87 | |
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88 | !! * Substitutions |
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89 | # include "do_loop_substitute.h90" |
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90 | |
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91 | INTERFACE ice_var_snwfra |
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92 | MODULE PROCEDURE ice_var_snwfra_1d, ice_var_snwfra_2d, ice_var_snwfra_3d |
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93 | END INTERFACE |
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94 | |
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95 | INTERFACE ice_var_snwblow |
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96 | MODULE PROCEDURE ice_var_snwblow_1d, ice_var_snwblow_2d |
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97 | END INTERFACE |
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98 | |
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99 | !!---------------------------------------------------------------------- |
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100 | !! NEMO/ICE 4.0 , NEMO Consortium (2018) |
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101 | !! $Id$ |
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102 | !! Software governed by the CeCILL license (see ./LICENSE) |
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103 | !!---------------------------------------------------------------------- |
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104 | CONTAINS |
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105 | |
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106 | SUBROUTINE ice_var_agg( kn ) |
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107 | !!------------------------------------------------------------------- |
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108 | !! *** ROUTINE ice_var_agg *** |
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109 | !! |
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110 | !! ** Purpose : aggregates ice-thickness-category variables to |
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111 | !! all-ice variables, i.e. it turns VGLO into VAGG |
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112 | !!------------------------------------------------------------------- |
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113 | INTEGER, INTENT( in ) :: kn ! =1 state variables only |
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114 | ! ! >1 state variables + others |
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115 | ! |
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116 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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117 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: z1_at_i, z1_vt_i, z1_vt_s |
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118 | !!------------------------------------------------------------------- |
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119 | ! |
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120 | ! ! integrated values |
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121 | vt_i(:,:) = SUM( v_i (:,:,:) , dim=3 ) |
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122 | vt_s(:,:) = SUM( v_s (:,:,:) , dim=3 ) |
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123 | st_i(:,:) = SUM( sv_i(:,:,:) , dim=3 ) |
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124 | at_i(:,:) = SUM( a_i (:,:,:) , dim=3 ) |
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125 | et_s(:,:) = SUM( SUM( e_s (:,:,:,:), dim=4 ), dim=3 ) |
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126 | et_i(:,:) = SUM( SUM( e_i (:,:,:,:), dim=4 ), dim=3 ) |
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127 | ! |
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128 | at_ip(:,:) = SUM( a_ip(:,:,:), dim=3 ) ! melt ponds |
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129 | vt_ip(:,:) = SUM( v_ip(:,:,:), dim=3 ) |
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130 | vt_il(:,:) = SUM( v_il(:,:,:), dim=3 ) |
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131 | ! |
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132 | ato_i(:,:) = 1._wp - at_i(:,:) ! open water fraction |
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133 | ! |
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134 | !!GS: tm_su always needed by ABL over sea-ice |
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135 | ALLOCATE( z1_at_i(jpi,jpj) ) |
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136 | WHERE( at_i(:,:) > epsi20 ) ; z1_at_i(:,:) = 1._wp / at_i(:,:) |
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137 | ELSEWHERE ; z1_at_i(:,:) = 0._wp |
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138 | END WHERE |
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139 | tm_su(:,:) = SUM( t_su(:,:,:) * a_i(:,:,:) , dim=3 ) * z1_at_i(:,:) |
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140 | WHERE( at_i(:,:)<=epsi20 ) tm_su(:,:) = rt0 |
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141 | ! |
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142 | ! The following fields are calculated for diagnostics and outputs only |
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143 | ! ==> Do not use them for other purposes |
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144 | IF( kn > 1 ) THEN |
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145 | ! |
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146 | ALLOCATE( z1_vt_i(jpi,jpj) , z1_vt_s(jpi,jpj) ) |
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147 | WHERE( vt_i(:,:) > epsi20 ) ; z1_vt_i(:,:) = 1._wp / vt_i(:,:) |
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148 | ELSEWHERE ; z1_vt_i(:,:) = 0._wp |
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149 | END WHERE |
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150 | WHERE( vt_s(:,:) > epsi20 ) ; z1_vt_s(:,:) = 1._wp / vt_s(:,:) |
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151 | ELSEWHERE ; z1_vt_s(:,:) = 0._wp |
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152 | END WHERE |
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153 | ! |
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154 | ! ! mean ice/snow thickness |
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155 | hm_i(:,:) = vt_i(:,:) * z1_at_i(:,:) |
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156 | hm_s(:,:) = vt_s(:,:) * z1_at_i(:,:) |
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157 | ! |
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158 | ! ! mean temperature (K), salinity and age |
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159 | tm_si(:,:) = SUM( t_si(:,:,:) * a_i(:,:,:) , dim=3 ) * z1_at_i(:,:) |
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160 | om_i (:,:) = SUM( oa_i(:,:,:) , dim=3 ) * z1_at_i(:,:) |
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161 | sm_i (:,:) = st_i(:,:) * z1_vt_i(:,:) |
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162 | ! |
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163 | tm_i(:,:) = 0._wp |
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164 | tm_s(:,:) = 0._wp |
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165 | DO jl = 1, jpl |
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166 | DO jk = 1, nlay_i |
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167 | tm_i(:,:) = tm_i(:,:) + r1_nlay_i * t_i (:,:,jk,jl) * v_i(:,:,jl) * z1_vt_i(:,:) |
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168 | END DO |
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169 | DO jk = 1, nlay_s |
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170 | tm_s(:,:) = tm_s(:,:) + r1_nlay_s * t_s (:,:,jk,jl) * v_s(:,:,jl) * z1_vt_s(:,:) |
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171 | END DO |
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172 | END DO |
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173 | ! |
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174 | ! ! put rt0 where there is no ice |
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175 | WHERE( at_i(:,:)<=epsi20 ) |
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176 | tm_si(:,:) = rt0 |
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177 | tm_i (:,:) = rt0 |
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178 | tm_s (:,:) = rt0 |
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179 | END WHERE |
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180 | ! |
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181 | ! ! mean melt pond depth |
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182 | WHERE( at_ip(:,:) > epsi20 ) ; hm_ip(:,:) = vt_ip(:,:) / at_ip(:,:) ; hm_il(:,:) = vt_il(:,:) / at_ip(:,:) |
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183 | ELSEWHERE ; hm_ip(:,:) = 0._wp ; hm_il(:,:) = 0._wp |
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184 | END WHERE |
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185 | ! |
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186 | DEALLOCATE( z1_vt_i , z1_vt_s ) |
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187 | ! |
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188 | ENDIF |
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189 | ! |
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190 | DEALLOCATE( z1_at_i ) |
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191 | ! |
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192 | END SUBROUTINE ice_var_agg |
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193 | |
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194 | |
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195 | SUBROUTINE ice_var_glo2eqv |
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196 | !!------------------------------------------------------------------- |
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197 | !! *** ROUTINE ice_var_glo2eqv *** |
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198 | !! |
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199 | !! ** Purpose : computes equivalent variables as function of |
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200 | !! global variables, i.e. it turns VGLO into VEQV |
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201 | !!------------------------------------------------------------------- |
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202 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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203 | REAL(wp) :: ze_i ! local scalars |
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204 | REAL(wp) :: ze_s, ztmelts, zbbb, zccc ! - - |
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205 | REAL(wp) :: zhmax, z1_zhmax ! - - |
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206 | REAL(wp) :: zlay_i, zlay_s ! - - |
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207 | REAL(wp), PARAMETER :: zhl_max = 0.015_wp ! pond lid thickness above which the ponds disappear from the albedo calculation |
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208 | REAL(wp), PARAMETER :: zhl_min = 0.005_wp ! pond lid thickness below which the full pond area is used in the albedo calculation |
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209 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z1_a_i, z1_v_i, z1_a_ip, za_s_fra |
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210 | !!------------------------------------------------------------------- |
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211 | |
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212 | !!gm Question 2: It is possible to define existence of sea-ice in a common way between |
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213 | !! ice area and ice volume ? |
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214 | !! the idea is to be able to define one for all at the begining of this routine |
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215 | !! a criteria for icy area (i.e. a_i > epsi20 and v_i > epsi20 ) |
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216 | |
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217 | !--------------------------------------------------------------- |
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218 | ! Ice thickness, snow thickness, ice salinity, ice age and ponds |
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219 | !--------------------------------------------------------------- |
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220 | ! !--- inverse of the ice area |
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221 | WHERE( a_i(:,:,:) > epsi20 ) ; z1_a_i(:,:,:) = 1._wp / a_i(:,:,:) |
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222 | ELSEWHERE ; z1_a_i(:,:,:) = 0._wp |
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223 | END WHERE |
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224 | ! |
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225 | WHERE( v_i(:,:,:) > epsi20 ) ; z1_v_i(:,:,:) = 1._wp / v_i(:,:,:) |
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226 | ELSEWHERE ; z1_v_i(:,:,:) = 0._wp |
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227 | END WHERE |
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228 | ! |
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229 | WHERE( a_ip(:,:,:) > epsi20 ) ; z1_a_ip(:,:,:) = 1._wp / a_ip(:,:,:) |
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230 | ELSEWHERE ; z1_a_ip(:,:,:) = 0._wp |
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231 | END WHERE |
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232 | ! !--- ice thickness |
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233 | h_i(:,:,:) = v_i (:,:,:) * z1_a_i(:,:,:) |
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234 | |
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235 | zhmax = hi_max(jpl) |
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236 | z1_zhmax = 1._wp / hi_max(jpl) |
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237 | WHERE( h_i(:,:,jpl) > zhmax ) ! bound h_i by hi_max (i.e. 99 m) with associated update of ice area |
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238 | h_i (:,:,jpl) = zhmax |
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239 | a_i (:,:,jpl) = v_i(:,:,jpl) * z1_zhmax |
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240 | z1_a_i(:,:,jpl) = zhmax * z1_v_i(:,:,jpl) |
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241 | END WHERE |
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242 | ! !--- snow thickness |
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243 | h_s(:,:,:) = v_s (:,:,:) * z1_a_i(:,:,:) |
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244 | ! !--- ice age |
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245 | o_i(:,:,:) = oa_i(:,:,:) * z1_a_i(:,:,:) |
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246 | ! !--- pond and lid thickness |
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247 | h_ip(:,:,:) = v_ip(:,:,:) * z1_a_ip(:,:,:) |
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248 | h_il(:,:,:) = v_il(:,:,:) * z1_a_ip(:,:,:) |
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249 | ! !--- melt pond effective area (used for albedo) |
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250 | a_ip_frac(:,:,:) = a_ip(:,:,:) * z1_a_i(:,:,:) |
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251 | WHERE ( h_il(:,:,:) <= zhl_min ) ; a_ip_eff(:,:,:) = a_ip_frac(:,:,:) ! lid is very thin. Expose all the pond |
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252 | ELSEWHERE( h_il(:,:,:) >= zhl_max ) ; a_ip_eff(:,:,:) = 0._wp ! lid is very thick. Cover all the pond up with ice and snow |
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253 | ELSEWHERE ; a_ip_eff(:,:,:) = a_ip_frac(:,:,:) * & ! lid is in between. Expose part of the pond |
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254 | & ( zhl_max - h_il(:,:,:) ) / ( zhl_max - zhl_min ) |
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255 | END WHERE |
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256 | ! |
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257 | CALL ice_var_snwfra( h_s, za_s_fra ) ! calculate ice fraction covered by snow |
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258 | a_ip_eff = MIN( a_ip_eff, 1._wp - za_s_fra ) ! make sure (a_ip_eff + a_s_fra) <= 1 |
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259 | ! |
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260 | ! !--- salinity (with a minimum value imposed everywhere) |
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261 | IF( nn_icesal == 2 ) THEN |
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262 | WHERE( v_i(:,:,:) > epsi20 ) ; s_i(:,:,:) = MAX( rn_simin , MIN( rn_simax, sv_i(:,:,:) * z1_v_i(:,:,:) ) ) |
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263 | ELSEWHERE ; s_i(:,:,:) = rn_simin |
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264 | END WHERE |
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265 | ENDIF |
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266 | CALL ice_var_salprof ! salinity profile |
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267 | |
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268 | !------------------- |
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269 | ! Ice temperature [K] (with a minimum value (rt0 - 100.)) |
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270 | !------------------- |
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271 | zlay_i = REAL( nlay_i , wp ) ! number of layers |
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272 | DO jl = 1, jpl |
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273 | DO_3D( 1, 1, 1, 1, 1, nlay_i ) |
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274 | IF ( v_i(ji,jj,jl) > epsi20 ) THEN !--- icy area |
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275 | ! |
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276 | ze_i = e_i (ji,jj,jk,jl) * z1_v_i(ji,jj,jl) * zlay_i ! Energy of melting e(S,T) [J.m-3] |
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277 | ztmelts = - sz_i(ji,jj,jk,jl) * rTmlt ! Ice layer melt temperature [C] |
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278 | ! Conversion q(S,T) -> T (second order equation) |
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279 | zbbb = ( rcp - rcpi ) * ztmelts + ze_i * r1_rhoi - rLfus |
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280 | zccc = SQRT( MAX( zbbb * zbbb - 4._wp * rcpi * rLfus * ztmelts , 0._wp) ) |
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281 | t_i(ji,jj,jk,jl) = MAX( -100._wp , MIN( -( zbbb + zccc ) * 0.5_wp * r1_rcpi , ztmelts ) ) + rt0 ! [K] with bounds: -100 < t_i < ztmelts |
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282 | ! |
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283 | ELSE !--- no ice |
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284 | t_i(ji,jj,jk,jl) = rt0 |
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285 | ENDIF |
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286 | END_3D |
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287 | END DO |
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288 | |
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289 | !-------------------- |
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290 | ! Snow temperature [K] (with a minimum value (rt0 - 100.)) |
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291 | !-------------------- |
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292 | zlay_s = REAL( nlay_s , wp ) |
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293 | DO jk = 1, nlay_s |
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294 | WHERE( v_s(:,:,:) > epsi20 ) !--- icy area |
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295 | t_s(:,:,jk,:) = rt0 + MAX( -100._wp , & |
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296 | & MIN( r1_rcpi * ( -r1_rhos * ( e_s(:,:,jk,:) / v_s(:,:,:) * zlay_s ) + rLfus ) , 0._wp ) ) |
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297 | ELSEWHERE !--- no ice |
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298 | t_s(:,:,jk,:) = rt0 |
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299 | END WHERE |
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300 | END DO |
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301 | ! |
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302 | ! integrated values |
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303 | vt_i (:,:) = SUM( v_i , dim=3 ) |
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304 | vt_s (:,:) = SUM( v_s , dim=3 ) |
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305 | at_i (:,:) = SUM( a_i , dim=3 ) |
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306 | ! |
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307 | END SUBROUTINE ice_var_glo2eqv |
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308 | |
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309 | |
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310 | SUBROUTINE ice_var_eqv2glo |
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311 | !!------------------------------------------------------------------- |
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312 | !! *** ROUTINE ice_var_eqv2glo *** |
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313 | !! |
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314 | !! ** Purpose : computes global variables as function of |
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315 | !! equivalent variables, i.e. it turns VEQV into VGLO |
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316 | !!------------------------------------------------------------------- |
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317 | ! |
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318 | v_i (:,:,:) = h_i (:,:,:) * a_i (:,:,:) |
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319 | v_s (:,:,:) = h_s (:,:,:) * a_i (:,:,:) |
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320 | sv_i(:,:,:) = s_i (:,:,:) * v_i (:,:,:) |
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321 | v_ip(:,:,:) = h_ip(:,:,:) * a_ip(:,:,:) |
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322 | v_il(:,:,:) = h_il(:,:,:) * a_ip(:,:,:) |
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323 | ! |
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324 | END SUBROUTINE ice_var_eqv2glo |
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325 | |
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326 | |
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327 | SUBROUTINE ice_var_salprof |
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328 | !!------------------------------------------------------------------- |
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329 | !! *** ROUTINE ice_var_salprof *** |
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330 | !! |
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331 | !! ** Purpose : computes salinity profile in function of bulk salinity |
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332 | !! |
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333 | !! ** Method : If bulk salinity greater than zsi1, |
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334 | !! the profile is assumed to be constant (S_inf) |
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335 | !! If bulk salinity lower than zsi0, |
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336 | !! the profile is linear with 0 at the surface (S_zero) |
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337 | !! If it is between zsi0 and zsi1, it is a |
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338 | !! alpha-weighted linear combination of s_inf and s_zero |
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339 | !! |
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340 | !! ** References : Vancoppenolle et al., 2007 |
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341 | !!------------------------------------------------------------------- |
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342 | INTEGER :: ji, jj, jk, jl ! dummy loop index |
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343 | REAL(wp) :: zsal, z1_dS |
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344 | REAL(wp) :: zargtemp , zs0, zs |
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345 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: z_slope_s, zalpha ! case 2 only |
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346 | REAL(wp), PARAMETER :: zsi0 = 3.5_wp |
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347 | REAL(wp), PARAMETER :: zsi1 = 4.5_wp |
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348 | !!------------------------------------------------------------------- |
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349 | |
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350 | !!gm Question: Remove the option 3 ? How many years since it last use ? |
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351 | |
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352 | SELECT CASE ( nn_icesal ) |
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353 | ! |
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354 | ! !---------------------------------------! |
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355 | CASE( 1 ) ! constant salinity in time and space ! |
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356 | ! !---------------------------------------! |
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357 | sz_i(:,:,:,:) = rn_icesal |
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358 | s_i (:,:,:) = rn_icesal |
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359 | ! |
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360 | ! !---------------------------------------------! |
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361 | CASE( 2 ) ! time varying salinity with linear profile ! |
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362 | ! !---------------------------------------------! |
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363 | ! |
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364 | ALLOCATE( z_slope_s(jpi,jpj,jpl) , zalpha(jpi,jpj,jpl) ) |
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365 | ! |
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366 | DO jl = 1, jpl |
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367 | DO jk = 1, nlay_i |
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368 | sz_i(:,:,jk,jl) = s_i(:,:,jl) |
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369 | END DO |
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370 | END DO |
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371 | ! ! Slope of the linear profile |
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372 | WHERE( h_i(:,:,:) > epsi20 ) ; z_slope_s(:,:,:) = 2._wp * s_i(:,:,:) / h_i(:,:,:) |
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373 | ELSEWHERE ; z_slope_s(:,:,:) = 0._wp |
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374 | END WHERE |
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375 | ! |
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376 | z1_dS = 1._wp / ( zsi1 - zsi0 ) |
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377 | DO jl = 1, jpl |
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378 | DO_2D( 1, 1, 1, 1 ) |
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379 | zalpha(ji,jj,jl) = MAX( 0._wp , MIN( ( zsi1 - s_i(ji,jj,jl) ) * z1_dS , 1._wp ) ) |
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380 | ! ! force a constant profile when SSS too low (Baltic Sea) |
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381 | IF( 2._wp * s_i(ji,jj,jl) >= sss_m(ji,jj) ) zalpha(ji,jj,jl) = 0._wp |
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382 | END_2D |
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383 | END DO |
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384 | ! |
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385 | ! Computation of the profile |
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386 | DO jl = 1, jpl |
---|
387 | DO_3D( 1, 1, 1, 1, 1, nlay_i ) |
---|
388 | ! ! linear profile with 0 surface value |
---|
389 | zs0 = z_slope_s(ji,jj,jl) * ( REAL(jk,wp) - 0.5_wp ) * h_i(ji,jj,jl) * r1_nlay_i |
---|
390 | zs = zalpha(ji,jj,jl) * zs0 + ( 1._wp - zalpha(ji,jj,jl) ) * s_i(ji,jj,jl) ! weighting the profile |
---|
391 | sz_i(ji,jj,jk,jl) = MIN( rn_simax, MAX( zs, rn_simin ) ) |
---|
392 | END_3D |
---|
393 | END DO |
---|
394 | ! |
---|
395 | DEALLOCATE( z_slope_s , zalpha ) |
---|
396 | ! |
---|
397 | ! !-------------------------------------------! |
---|
398 | CASE( 3 ) ! constant salinity with a fix profile ! (Schwarzacher (1959) multiyear salinity profile |
---|
399 | ! !-------------------------------------------! (mean = 2.30) |
---|
400 | ! |
---|
401 | s_i(:,:,:) = 2.30_wp |
---|
402 | !!gm Remark: if we keep the case 3, then compute an store one for all time-step |
---|
403 | !! a array S_prof(1:nlay_i) containing the calculation and just do: |
---|
404 | ! DO jk = 1, nlay_i |
---|
405 | ! sz_i(:,:,jk,:) = S_prof(jk) |
---|
406 | ! END DO |
---|
407 | !!gm end |
---|
408 | ! |
---|
409 | DO jl = 1, jpl |
---|
410 | DO jk = 1, nlay_i |
---|
411 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) * r1_nlay_i |
---|
412 | sz_i(:,:,jk,jl) = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**(0.407_wp/(0.573_wp+zargtemp)) ) ) |
---|
413 | END DO |
---|
414 | END DO |
---|
415 | ! |
---|
416 | END SELECT |
---|
417 | ! |
---|
418 | END SUBROUTINE ice_var_salprof |
---|
419 | |
---|
420 | |
---|
421 | SUBROUTINE ice_var_salprof1d |
---|
422 | !!------------------------------------------------------------------- |
---|
423 | !! *** ROUTINE ice_var_salprof1d *** |
---|
424 | !! |
---|
425 | !! ** Purpose : 1d computation of the sea ice salinity profile |
---|
426 | !! Works with 1d vectors and is used by thermodynamic modules |
---|
427 | !!------------------------------------------------------------------- |
---|
428 | INTEGER :: ji, jk ! dummy loop indices |
---|
429 | REAL(wp) :: zargtemp, zsal, z1_dS ! local scalars |
---|
430 | REAL(wp) :: zs, zs0 ! - - |
---|
431 | ! |
---|
432 | REAL(wp), ALLOCATABLE, DIMENSION(:) :: z_slope_s, zalpha ! |
---|
433 | REAL(wp), PARAMETER :: zsi0 = 3.5_wp |
---|
434 | REAL(wp), PARAMETER :: zsi1 = 4.5_wp |
---|
435 | !!------------------------------------------------------------------- |
---|
436 | ! |
---|
437 | SELECT CASE ( nn_icesal ) |
---|
438 | ! |
---|
439 | ! !---------------------------------------! |
---|
440 | CASE( 1 ) ! constant salinity in time and space ! |
---|
441 | ! !---------------------------------------! |
---|
442 | sz_i_1d(1:npti,:) = rn_icesal |
---|
443 | ! |
---|
444 | ! !---------------------------------------------! |
---|
445 | CASE( 2 ) ! time varying salinity with linear profile ! |
---|
446 | ! !---------------------------------------------! |
---|
447 | ! |
---|
448 | ALLOCATE( z_slope_s(jpij), zalpha(jpij) ) |
---|
449 | ! |
---|
450 | ! ! Slope of the linear profile |
---|
451 | WHERE( h_i_1d(1:npti) > epsi20 ) ; z_slope_s(1:npti) = 2._wp * s_i_1d(1:npti) / h_i_1d(1:npti) |
---|
452 | ELSEWHERE ; z_slope_s(1:npti) = 0._wp |
---|
453 | END WHERE |
---|
454 | |
---|
455 | z1_dS = 1._wp / ( zsi1 - zsi0 ) |
---|
456 | DO ji = 1, npti |
---|
457 | zalpha(ji) = MAX( 0._wp , MIN( ( zsi1 - s_i_1d(ji) ) * z1_dS , 1._wp ) ) |
---|
458 | ! ! force a constant profile when SSS too low (Baltic Sea) |
---|
459 | IF( 2._wp * s_i_1d(ji) >= sss_1d(ji) ) zalpha(ji) = 0._wp |
---|
460 | END DO |
---|
461 | ! |
---|
462 | ! Computation of the profile |
---|
463 | DO jk = 1, nlay_i |
---|
464 | DO ji = 1, npti |
---|
465 | ! ! linear profile with 0 surface value |
---|
466 | zs0 = z_slope_s(ji) * ( REAL(jk,wp) - 0.5_wp ) * h_i_1d(ji) * r1_nlay_i |
---|
467 | zs = zalpha(ji) * zs0 + ( 1._wp - zalpha(ji) ) * s_i_1d(ji) |
---|
468 | sz_i_1d(ji,jk) = MIN( rn_simax , MAX( zs , rn_simin ) ) |
---|
469 | END DO |
---|
470 | END DO |
---|
471 | ! |
---|
472 | DEALLOCATE( z_slope_s, zalpha ) |
---|
473 | |
---|
474 | ! !-------------------------------------------! |
---|
475 | CASE( 3 ) ! constant salinity with a fix profile ! (Schwarzacher (1959) multiyear salinity profile |
---|
476 | ! !-------------------------------------------! (mean = 2.30) |
---|
477 | ! |
---|
478 | s_i_1d(1:npti) = 2.30_wp |
---|
479 | ! |
---|
480 | !!gm cf remark in ice_var_salprof routine, CASE( 3 ) |
---|
481 | DO jk = 1, nlay_i |
---|
482 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) * r1_nlay_i |
---|
483 | zsal = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**( 0.407_wp / ( 0.573_wp + zargtemp ) ) ) ) |
---|
484 | DO ji = 1, npti |
---|
485 | sz_i_1d(ji,jk) = zsal |
---|
486 | END DO |
---|
487 | END DO |
---|
488 | ! |
---|
489 | END SELECT |
---|
490 | ! |
---|
491 | END SUBROUTINE ice_var_salprof1d |
---|
492 | |
---|
493 | |
---|
494 | SUBROUTINE ice_var_zapsmall |
---|
495 | !!------------------------------------------------------------------- |
---|
496 | !! *** ROUTINE ice_var_zapsmall *** |
---|
497 | !! |
---|
498 | !! ** Purpose : Remove too small sea ice areas and correct fluxes |
---|
499 | !!------------------------------------------------------------------- |
---|
500 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
---|
501 | REAL(wp), DIMENSION(jpi,jpj) :: zswitch |
---|
502 | !!------------------------------------------------------------------- |
---|
503 | ! |
---|
504 | DO jl = 1, jpl !== loop over the categories ==! |
---|
505 | ! |
---|
506 | WHERE( a_i(:,:,jl) > epsi10 ) ; h_i(:,:,jl) = v_i(:,:,jl) / a_i(:,:,jl) |
---|
507 | ELSEWHERE ; h_i(:,:,jl) = 0._wp |
---|
508 | END WHERE |
---|
509 | ! |
---|
510 | WHERE( a_i(:,:,jl) < epsi10 .OR. v_i(:,:,jl) < epsi10 .OR. h_i(:,:,jl) < epsi10 ) ; zswitch(:,:) = 0._wp |
---|
511 | ELSEWHERE ; zswitch(:,:) = 1._wp |
---|
512 | END WHERE |
---|
513 | ! |
---|
514 | !----------------------------------------------------------------- |
---|
515 | ! Zap ice energy and use ocean heat to melt ice |
---|
516 | !----------------------------------------------------------------- |
---|
517 | DO_3D( 1, 1, 1, 1, 1, nlay_i ) |
---|
518 | ! update exchanges with ocean |
---|
519 | hfx_res(ji,jj) = hfx_res(ji,jj) - (1._wp - zswitch(ji,jj) ) * e_i(ji,jj,jk,jl) * r1_Dt_ice ! W.m-2 <0 |
---|
520 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * zswitch(ji,jj) |
---|
521 | t_i(ji,jj,jk,jl) = t_i(ji,jj,jk,jl) * zswitch(ji,jj) + rt0 * ( 1._wp - zswitch(ji,jj) ) |
---|
522 | END_3D |
---|
523 | ! |
---|
524 | DO_3D( 1, 1, 1, 1, 1, nlay_s ) |
---|
525 | ! update exchanges with ocean |
---|
526 | hfx_res(ji,jj) = hfx_res(ji,jj) - (1._wp - zswitch(ji,jj) ) * e_s(ji,jj,jk,jl) * r1_Dt_ice ! W.m-2 <0 |
---|
527 | e_s(ji,jj,jk,jl) = e_s(ji,jj,jk,jl) * zswitch(ji,jj) |
---|
528 | t_s(ji,jj,jk,jl) = t_s(ji,jj,jk,jl) * zswitch(ji,jj) + rt0 * ( 1._wp - zswitch(ji,jj) ) |
---|
529 | END_3D |
---|
530 | ! |
---|
531 | !----------------------------------------------------------------- |
---|
532 | ! zap ice and snow volume, add water and salt to ocean |
---|
533 | !----------------------------------------------------------------- |
---|
534 | DO_2D( 1, 1, 1, 1 ) |
---|
535 | ! update exchanges with ocean |
---|
536 | sfx_res(ji,jj) = sfx_res(ji,jj) + ( 1._wp - zswitch(ji,jj) ) * sv_i(ji,jj,jl) * rhoi * r1_Dt_ice |
---|
537 | wfx_res(ji,jj) = wfx_res(ji,jj) + ( 1._wp - zswitch(ji,jj) ) * v_i (ji,jj,jl) * rhoi * r1_Dt_ice |
---|
538 | wfx_res(ji,jj) = wfx_res(ji,jj) + ( 1._wp - zswitch(ji,jj) ) * v_s (ji,jj,jl) * rhos * r1_Dt_ice |
---|
539 | wfx_pnd(ji,jj) = wfx_pnd(ji,jj) + ( 1._wp - zswitch(ji,jj) ) * ( v_ip(ji,jj,jl)+v_il(ji,jj,jl) ) * rhow * r1_Dt_ice |
---|
540 | ! |
---|
541 | a_i (ji,jj,jl) = a_i (ji,jj,jl) * zswitch(ji,jj) |
---|
542 | v_i (ji,jj,jl) = v_i (ji,jj,jl) * zswitch(ji,jj) |
---|
543 | v_s (ji,jj,jl) = v_s (ji,jj,jl) * zswitch(ji,jj) |
---|
544 | t_su (ji,jj,jl) = t_su(ji,jj,jl) * zswitch(ji,jj) + t_bo(ji,jj) * ( 1._wp - zswitch(ji,jj) ) |
---|
545 | oa_i (ji,jj,jl) = oa_i(ji,jj,jl) * zswitch(ji,jj) |
---|
546 | sv_i (ji,jj,jl) = sv_i(ji,jj,jl) * zswitch(ji,jj) |
---|
547 | ! |
---|
548 | h_i (ji,jj,jl) = h_i (ji,jj,jl) * zswitch(ji,jj) |
---|
549 | h_s (ji,jj,jl) = h_s (ji,jj,jl) * zswitch(ji,jj) |
---|
550 | ! |
---|
551 | a_ip (ji,jj,jl) = a_ip (ji,jj,jl) * zswitch(ji,jj) |
---|
552 | v_ip (ji,jj,jl) = v_ip (ji,jj,jl) * zswitch(ji,jj) |
---|
553 | v_il (ji,jj,jl) = v_il (ji,jj,jl) * zswitch(ji,jj) |
---|
554 | h_ip (ji,jj,jl) = h_ip (ji,jj,jl) * zswitch(ji,jj) |
---|
555 | h_il (ji,jj,jl) = h_il (ji,jj,jl) * zswitch(ji,jj) |
---|
556 | ! |
---|
557 | END_2D |
---|
558 | ! |
---|
559 | END DO |
---|
560 | |
---|
561 | ! to be sure that at_i is the sum of a_i(jl) |
---|
562 | at_i (:,:) = SUM( a_i (:,:,:), dim=3 ) |
---|
563 | vt_i (:,:) = SUM( v_i (:,:,:), dim=3 ) |
---|
564 | !!clem add? |
---|
565 | ! vt_s (:,:) = SUM( v_s (:,:,:), dim=3 ) |
---|
566 | ! st_i (:,:) = SUM( sv_i(:,:,:), dim=3 ) |
---|
567 | ! et_s(:,:) = SUM( SUM( e_s (:,:,:,:), dim=4 ), dim=3 ) |
---|
568 | ! et_i(:,:) = SUM( SUM( e_i (:,:,:,:), dim=4 ), dim=3 ) |
---|
569 | !!clem |
---|
570 | |
---|
571 | ! open water = 1 if at_i=0 |
---|
572 | WHERE( at_i(:,:) == 0._wp ) ato_i(:,:) = 1._wp |
---|
573 | ! |
---|
574 | END SUBROUTINE ice_var_zapsmall |
---|
575 | |
---|
576 | |
---|
577 | SUBROUTINE ice_var_zapneg( pdt, pato_i, pv_i, pv_s, psv_i, poa_i, pa_i, pa_ip, pv_ip, pv_il, pe_s, pe_i ) |
---|
578 | !!------------------------------------------------------------------- |
---|
579 | !! *** ROUTINE ice_var_zapneg *** |
---|
580 | !! |
---|
581 | !! ** Purpose : Remove negative sea ice fields and correct fluxes |
---|
582 | !!------------------------------------------------------------------- |
---|
583 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
584 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pato_i ! open water area |
---|
585 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i ! ice volume |
---|
586 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_s ! snw volume |
---|
587 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: psv_i ! salt content |
---|
588 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: poa_i ! age content |
---|
589 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_i ! ice concentration |
---|
590 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_ip ! melt pond fraction |
---|
591 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_ip ! melt pond volume |
---|
592 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_il ! melt pond lid volume |
---|
593 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s ! snw heat content |
---|
594 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_i ! ice heat content |
---|
595 | ! |
---|
596 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
---|
597 | REAL(wp) :: z1_dt |
---|
598 | !!------------------------------------------------------------------- |
---|
599 | ! |
---|
600 | z1_dt = 1._wp / pdt |
---|
601 | ! |
---|
602 | DO jl = 1, jpl !== loop over the categories ==! |
---|
603 | ! |
---|
604 | ! make sure a_i=0 where v_i<=0 |
---|
605 | WHERE( pv_i(:,:,:) <= 0._wp ) pa_i(:,:,:) = 0._wp |
---|
606 | |
---|
607 | !---------------------------------------- |
---|
608 | ! zap ice energy and send it to the ocean |
---|
609 | !---------------------------------------- |
---|
610 | DO_3D( 1, 1, 1, 1, 1, nlay_i ) |
---|
611 | IF( pe_i(ji,jj,jk,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
612 | hfx_res(ji,jj) = hfx_res(ji,jj) - pe_i(ji,jj,jk,jl) * z1_dt ! W.m-2 >0 |
---|
613 | pe_i(ji,jj,jk,jl) = 0._wp |
---|
614 | ENDIF |
---|
615 | END_3D |
---|
616 | ! |
---|
617 | DO_3D( 1, 1, 1, 1, 1, nlay_s ) |
---|
618 | IF( pe_s(ji,jj,jk,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
619 | hfx_res(ji,jj) = hfx_res(ji,jj) - pe_s(ji,jj,jk,jl) * z1_dt ! W.m-2 <0 |
---|
620 | pe_s(ji,jj,jk,jl) = 0._wp |
---|
621 | ENDIF |
---|
622 | END_3D |
---|
623 | ! |
---|
624 | !----------------------------------------------------- |
---|
625 | ! zap ice and snow volume, add water and salt to ocean |
---|
626 | !----------------------------------------------------- |
---|
627 | DO_2D( 1, 1, 1, 1 ) |
---|
628 | IF( pv_i(ji,jj,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
629 | wfx_res(ji,jj) = wfx_res(ji,jj) + pv_i (ji,jj,jl) * rhoi * z1_dt |
---|
630 | pv_i (ji,jj,jl) = 0._wp |
---|
631 | ENDIF |
---|
632 | IF( pv_s(ji,jj,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
633 | wfx_res(ji,jj) = wfx_res(ji,jj) + pv_s (ji,jj,jl) * rhos * z1_dt |
---|
634 | pv_s (ji,jj,jl) = 0._wp |
---|
635 | ENDIF |
---|
636 | IF( psv_i(ji,jj,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp .OR. pv_i(ji,jj,jl) <= 0._wp ) THEN |
---|
637 | sfx_res(ji,jj) = sfx_res(ji,jj) + psv_i(ji,jj,jl) * rhoi * z1_dt |
---|
638 | psv_i (ji,jj,jl) = 0._wp |
---|
639 | ENDIF |
---|
640 | IF( pv_ip(ji,jj,jl) < 0._wp .OR. pv_il(ji,jj,jl) < 0._wp .OR. pa_ip(ji,jj,jl) <= 0._wp ) THEN |
---|
641 | wfx_pnd(ji,jj) = wfx_pnd(ji,jj) + pv_il(ji,jj,jl) * rhow * z1_dt |
---|
642 | pv_il (ji,jj,jl) = 0._wp |
---|
643 | ENDIF |
---|
644 | IF( pv_ip(ji,jj,jl) < 0._wp .OR. pa_ip(ji,jj,jl) <= 0._wp ) THEN |
---|
645 | wfx_pnd(ji,jj) = wfx_pnd(ji,jj) + pv_ip(ji,jj,jl) * rhow * z1_dt |
---|
646 | pv_ip (ji,jj,jl) = 0._wp |
---|
647 | ENDIF |
---|
648 | END_2D |
---|
649 | ! |
---|
650 | END DO |
---|
651 | ! |
---|
652 | WHERE( pato_i(:,:) < 0._wp ) pato_i(:,:) = 0._wp |
---|
653 | WHERE( poa_i (:,:,:) < 0._wp ) poa_i (:,:,:) = 0._wp |
---|
654 | WHERE( pa_i (:,:,:) < 0._wp ) pa_i (:,:,:) = 0._wp |
---|
655 | WHERE( pa_ip (:,:,:) < 0._wp ) pa_ip (:,:,:) = 0._wp |
---|
656 | ! |
---|
657 | END SUBROUTINE ice_var_zapneg |
---|
658 | |
---|
659 | |
---|
660 | SUBROUTINE ice_var_roundoff( pa_i, pv_i, pv_s, psv_i, poa_i, pa_ip, pv_ip, pv_il, pe_s, pe_i ) |
---|
661 | !!------------------------------------------------------------------- |
---|
662 | !! *** ROUTINE ice_var_roundoff *** |
---|
663 | !! |
---|
664 | !! ** Purpose : Remove negative sea ice values arising from roundoff errors |
---|
665 | !!------------------------------------------------------------------- |
---|
666 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pa_i ! ice concentration |
---|
667 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pv_i ! ice volume |
---|
668 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pv_s ! snw volume |
---|
669 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: psv_i ! salt content |
---|
670 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: poa_i ! age content |
---|
671 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pa_ip ! melt pond fraction |
---|
672 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pv_ip ! melt pond volume |
---|
673 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pv_il ! melt pond lid volume |
---|
674 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: pe_s ! snw heat content |
---|
675 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: pe_i ! ice heat content |
---|
676 | !!------------------------------------------------------------------- |
---|
677 | ! |
---|
678 | |
---|
679 | WHERE( pa_i (1:npti,:) < 0._wp ) pa_i (1:npti,:) = 0._wp ! a_i must be >= 0 |
---|
680 | WHERE( pv_i (1:npti,:) < 0._wp ) pv_i (1:npti,:) = 0._wp ! v_i must be >= 0 |
---|
681 | WHERE( pv_s (1:npti,:) < 0._wp ) pv_s (1:npti,:) = 0._wp ! v_s must be >= 0 |
---|
682 | WHERE( psv_i(1:npti,:) < 0._wp ) psv_i(1:npti,:) = 0._wp ! sv_i must be >= 0 |
---|
683 | WHERE( poa_i(1:npti,:) < 0._wp ) poa_i(1:npti,:) = 0._wp ! oa_i must be >= 0 |
---|
684 | WHERE( pe_i (1:npti,:,:) < 0._wp ) pe_i (1:npti,:,:) = 0._wp ! e_i must be >= 0 |
---|
685 | WHERE( pe_s (1:npti,:,:) < 0._wp ) pe_s (1:npti,:,:) = 0._wp ! e_s must be >= 0 |
---|
686 | IF( ln_pnd_LEV .OR. ln_pnd_TOPO ) THEN |
---|
687 | WHERE( pa_ip(1:npti,:) < 0._wp ) pa_ip(1:npti,:) = 0._wp ! a_ip must be >= 0 |
---|
688 | WHERE( pv_ip(1:npti,:) < 0._wp ) pv_ip(1:npti,:) = 0._wp ! v_ip must be >= 0 |
---|
689 | IF( ln_pnd_lids ) THEN |
---|
690 | WHERE( pv_il(1:npti,:) < 0._wp .AND. pv_il(1:npti,:) > -epsi10 ) pv_il(1:npti,:) = 0._wp ! v_il must be >= 0 |
---|
691 | ENDIF |
---|
692 | ENDIF |
---|
693 | ! |
---|
694 | END SUBROUTINE ice_var_roundoff |
---|
695 | |
---|
696 | |
---|
697 | SUBROUTINE ice_var_bv |
---|
698 | !!------------------------------------------------------------------- |
---|
699 | !! *** ROUTINE ice_var_bv *** |
---|
700 | !! |
---|
701 | !! ** Purpose : computes mean brine volume (%) in sea ice |
---|
702 | !! |
---|
703 | !! ** Method : e = - 0.054 * S (ppt) / T (C) |
---|
704 | !! |
---|
705 | !! References : Vancoppenolle et al., JGR, 2007 |
---|
706 | !!------------------------------------------------------------------- |
---|
707 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
---|
708 | !!------------------------------------------------------------------- |
---|
709 | ! |
---|
710 | !!gm I prefere to use WHERE / ELSEWHERE to set it to zero only where needed <<<=== to be done |
---|
711 | !! instead of setting everything to zero as just below |
---|
712 | bv_i (:,:,:) = 0._wp |
---|
713 | DO jl = 1, jpl |
---|
714 | DO jk = 1, nlay_i |
---|
715 | WHERE( t_i(:,:,jk,jl) < rt0 - epsi10 ) |
---|
716 | bv_i(:,:,jl) = bv_i(:,:,jl) - rTmlt * sz_i(:,:,jk,jl) * r1_nlay_i / ( t_i(:,:,jk,jl) - rt0 ) |
---|
717 | END WHERE |
---|
718 | END DO |
---|
719 | END DO |
---|
720 | WHERE( vt_i(:,:) > epsi20 ) ; bvm_i(:,:) = SUM( bv_i(:,:,:) * v_i(:,:,:) , dim=3 ) / vt_i(:,:) |
---|
721 | ELSEWHERE ; bvm_i(:,:) = 0._wp |
---|
722 | END WHERE |
---|
723 | ! |
---|
724 | END SUBROUTINE ice_var_bv |
---|
725 | |
---|
726 | |
---|
727 | SUBROUTINE ice_var_enthalpy |
---|
728 | !!------------------------------------------------------------------- |
---|
729 | !! *** ROUTINE ice_var_enthalpy *** |
---|
730 | !! |
---|
731 | !! ** Purpose : Computes sea ice energy of melting q_i (J.m-3) from temperature |
---|
732 | !! |
---|
733 | !! ** Method : Formula (Bitz and Lipscomb, 1999) |
---|
734 | !!------------------------------------------------------------------- |
---|
735 | INTEGER :: ji, jk ! dummy loop indices |
---|
736 | REAL(wp) :: ztmelts ! local scalar |
---|
737 | !!------------------------------------------------------------------- |
---|
738 | ! |
---|
739 | DO jk = 1, nlay_i ! Sea ice energy of melting |
---|
740 | DO ji = 1, npti |
---|
741 | ztmelts = - rTmlt * sz_i_1d(ji,jk) |
---|
742 | t_i_1d(ji,jk) = MIN( t_i_1d(ji,jk), ztmelts + rt0 ) ! Force t_i_1d to be lower than melting point => likely conservation issue |
---|
743 | ! (sometimes zdf scheme produces abnormally high temperatures) |
---|
744 | e_i_1d(ji,jk) = rhoi * ( rcpi * ( ztmelts - ( t_i_1d(ji,jk) - rt0 ) ) & |
---|
745 | & + rLfus * ( 1._wp - ztmelts / ( t_i_1d(ji,jk) - rt0 ) ) & |
---|
746 | & - rcp * ztmelts ) |
---|
747 | END DO |
---|
748 | END DO |
---|
749 | DO jk = 1, nlay_s ! Snow energy of melting |
---|
750 | DO ji = 1, npti |
---|
751 | e_s_1d(ji,jk) = rhos * ( rcpi * ( rt0 - t_s_1d(ji,jk) ) + rLfus ) |
---|
752 | END DO |
---|
753 | END DO |
---|
754 | ! |
---|
755 | END SUBROUTINE ice_var_enthalpy |
---|
756 | |
---|
757 | |
---|
758 | FUNCTION ice_var_sshdyn(pssh, psnwice_mass, psnwice_mass_b) |
---|
759 | !!--------------------------------------------------------------------- |
---|
760 | !! *** ROUTINE ice_var_sshdyn *** |
---|
761 | !! |
---|
762 | !! ** Purpose : compute the equivalent ssh in lead when sea ice is embedded |
---|
763 | !! |
---|
764 | !! ** Method : ssh_lead = ssh + (Mice + Msnow) / rho0 |
---|
765 | !! |
---|
766 | !! ** Reference : Jean-Michel Campin, John Marshall, David Ferreira, |
---|
767 | !! Sea ice-ocean coupling using a rescaled vertical coordinate z*, |
---|
768 | !! Ocean Modelling, Volume 24, Issues 1-2, 2008 |
---|
769 | !!---------------------------------------------------------------------- |
---|
770 | ! |
---|
771 | ! input |
---|
772 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pssh !: ssh [m] |
---|
773 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: psnwice_mass !: mass of snow and ice at current ice time step [Kg/m2] |
---|
774 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: psnwice_mass_b !: mass of snow and ice at previous ice time step [Kg/m2] |
---|
775 | ! |
---|
776 | ! output |
---|
777 | REAL(wp), DIMENSION(jpi,jpj) :: ice_var_sshdyn ! equivalent ssh in lead [m] |
---|
778 | ! |
---|
779 | ! temporary |
---|
780 | REAL(wp) :: zintn, zintb ! time interpolation weights [] |
---|
781 | REAL(wp), DIMENSION(jpi,jpj) :: zsnwiceload ! snow and ice load [m] |
---|
782 | ! |
---|
783 | ! compute ice load used to define the equivalent ssh in lead |
---|
784 | IF( ln_ice_embd ) THEN |
---|
785 | ! |
---|
786 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[n/nn_fsbc], n=0,nn_fsbc-1} |
---|
787 | ! = (1/nn_fsbc)^2 * {SUM[n] , n=0,nn_fsbc-1} |
---|
788 | zintn = REAL( nn_fsbc - 1 ) / REAL( nn_fsbc ) * 0.5_wp |
---|
789 | ! |
---|
790 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[1-n/nn_fsbc], n=0,nn_fsbc-1} |
---|
791 | ! = (1/nn_fsbc)^2 * (nn_fsbc^2 - {SUM[n], n=0,nn_fsbc-1}) |
---|
792 | zintb = REAL( nn_fsbc + 1 ) / REAL( nn_fsbc ) * 0.5_wp |
---|
793 | ! |
---|
794 | zsnwiceload(:,:) = ( zintn * psnwice_mass(:,:) + zintb * psnwice_mass_b(:,:) ) * r1_rho0 |
---|
795 | ! |
---|
796 | ELSE |
---|
797 | zsnwiceload(:,:) = 0.0_wp |
---|
798 | ENDIF |
---|
799 | ! compute equivalent ssh in lead |
---|
800 | ice_var_sshdyn(:,:) = pssh(:,:) + zsnwiceload(:,:) |
---|
801 | ! |
---|
802 | END FUNCTION ice_var_sshdyn |
---|
803 | |
---|
804 | |
---|
805 | !!------------------------------------------------------------------- |
---|
806 | !! *** INTERFACE ice_var_itd *** |
---|
807 | !! |
---|
808 | !! ** Purpose : converting N-cat ice to jpl ice categories |
---|
809 | !!------------------------------------------------------------------- |
---|
810 | SUBROUTINE ice_var_itd_1c1c( phti, phts, pati , ph_i, ph_s, pa_i, & |
---|
811 | & ptmi, ptms, ptmsu, psmi, patip, phtip, phtil, pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ) |
---|
812 | !!------------------------------------------------------------------- |
---|
813 | !! ** Purpose : converting 1-cat ice to 1 ice category |
---|
814 | !!------------------------------------------------------------------- |
---|
815 | REAL(wp), DIMENSION(:), INTENT(in) :: phti, phts, pati ! input ice/snow variables |
---|
816 | REAL(wp), DIMENSION(:), INTENT(inout) :: ph_i, ph_s, pa_i ! output ice/snow variables |
---|
817 | REAL(wp), DIMENSION(:), INTENT(in) :: ptmi, ptms, ptmsu, psmi, patip, phtip, phtil ! input ice/snow temp & sal & ponds |
---|
818 | REAL(wp), DIMENSION(:), INTENT(inout) :: pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ! output ice/snow temp & sal & ponds |
---|
819 | !!------------------------------------------------------------------- |
---|
820 | ! == thickness and concentration == ! |
---|
821 | ph_i(:) = phti(:) |
---|
822 | ph_s(:) = phts(:) |
---|
823 | pa_i(:) = pati(:) |
---|
824 | ! |
---|
825 | ! == temperature and salinity and ponds == ! |
---|
826 | pt_i (:) = ptmi (:) |
---|
827 | pt_s (:) = ptms (:) |
---|
828 | pt_su(:) = ptmsu(:) |
---|
829 | ps_i (:) = psmi (:) |
---|
830 | pa_ip(:) = patip(:) |
---|
831 | ph_ip(:) = phtip(:) |
---|
832 | ph_il(:) = phtil(:) |
---|
833 | |
---|
834 | END SUBROUTINE ice_var_itd_1c1c |
---|
835 | |
---|
836 | SUBROUTINE ice_var_itd_Nc1c( phti, phts, pati , ph_i, ph_s, pa_i, & |
---|
837 | & ptmi, ptms, ptmsu, psmi, patip, phtip, phtil, pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ) |
---|
838 | !!------------------------------------------------------------------- |
---|
839 | !! ** Purpose : converting N-cat ice to 1 ice category |
---|
840 | !!------------------------------------------------------------------- |
---|
841 | REAL(wp), DIMENSION(:,:), INTENT(in) :: phti, phts, pati ! input ice/snow variables |
---|
842 | REAL(wp), DIMENSION(:) , INTENT(inout) :: ph_i, ph_s, pa_i ! output ice/snow variables |
---|
843 | REAL(wp), DIMENSION(:,:), INTENT(in) :: ptmi, ptms, ptmsu, psmi, patip, phtip, phtil ! input ice/snow temp & sal & ponds |
---|
844 | REAL(wp), DIMENSION(:) , INTENT(inout) :: pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ! output ice/snow temp & sal & ponds |
---|
845 | ! |
---|
846 | REAL(wp), ALLOCATABLE, DIMENSION(:) :: z1_ai, z1_vi, z1_vs |
---|
847 | ! |
---|
848 | INTEGER :: idim |
---|
849 | !!------------------------------------------------------------------- |
---|
850 | ! |
---|
851 | idim = SIZE( phti, 1 ) |
---|
852 | ! |
---|
853 | ! == thickness and concentration == ! |
---|
854 | ALLOCATE( z1_ai(idim), z1_vi(idim), z1_vs(idim) ) |
---|
855 | ! |
---|
856 | pa_i(:) = SUM( pati(:,:), dim=2 ) |
---|
857 | |
---|
858 | WHERE( ( pa_i(:) ) /= 0._wp ) ; z1_ai(:) = 1._wp / pa_i(:) |
---|
859 | ELSEWHERE ; z1_ai(:) = 0._wp |
---|
860 | END WHERE |
---|
861 | |
---|
862 | ph_i(:) = SUM( phti(:,:) * pati(:,:), dim=2 ) * z1_ai(:) |
---|
863 | ph_s(:) = SUM( phts(:,:) * pati(:,:), dim=2 ) * z1_ai(:) |
---|
864 | ! |
---|
865 | ! == temperature and salinity == ! |
---|
866 | WHERE( ( pa_i(:) * ph_i(:) ) /= 0._wp ) ; z1_vi(:) = 1._wp / ( pa_i(:) * ph_i(:) ) |
---|
867 | ELSEWHERE ; z1_vi(:) = 0._wp |
---|
868 | END WHERE |
---|
869 | WHERE( ( pa_i(:) * ph_s(:) ) /= 0._wp ) ; z1_vs(:) = 1._wp / ( pa_i(:) * ph_s(:) ) |
---|
870 | ELSEWHERE ; z1_vs(:) = 0._wp |
---|
871 | END WHERE |
---|
872 | pt_i (:) = SUM( ptmi (:,:) * pati(:,:) * phti(:,:), dim=2 ) * z1_vi(:) |
---|
873 | pt_s (:) = SUM( ptms (:,:) * pati(:,:) * phts(:,:), dim=2 ) * z1_vs(:) |
---|
874 | pt_su(:) = SUM( ptmsu(:,:) * pati(:,:) , dim=2 ) * z1_ai(:) |
---|
875 | ps_i (:) = SUM( psmi (:,:) * pati(:,:) * phti(:,:), dim=2 ) * z1_vi(:) |
---|
876 | |
---|
877 | ! == ponds == ! |
---|
878 | pa_ip(:) = SUM( patip(:,:), dim=2 ) |
---|
879 | WHERE( pa_ip(:) /= 0._wp ) |
---|
880 | ph_ip(:) = SUM( phtip(:,:) * patip(:,:), dim=2 ) / pa_ip(:) |
---|
881 | ph_il(:) = SUM( phtil(:,:) * patip(:,:), dim=2 ) / pa_ip(:) |
---|
882 | ELSEWHERE |
---|
883 | ph_ip(:) = 0._wp |
---|
884 | ph_il(:) = 0._wp |
---|
885 | END WHERE |
---|
886 | ! |
---|
887 | DEALLOCATE( z1_ai, z1_vi, z1_vs ) |
---|
888 | ! |
---|
889 | END SUBROUTINE ice_var_itd_Nc1c |
---|
890 | |
---|
891 | SUBROUTINE ice_var_itd_1cMc( phti, phts, pati , ph_i, ph_s, pa_i, & |
---|
892 | & ptmi, ptms, ptmsu, psmi, patip, phtip, phtil, pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ) |
---|
893 | !!------------------------------------------------------------------- |
---|
894 | !! |
---|
895 | !! ** Purpose : converting 1-cat ice to jpl ice categories |
---|
896 | !! |
---|
897 | !! |
---|
898 | !! ** Method: ice thickness distribution follows a gamma function from Abraham et al. (2015) |
---|
899 | !! it has the property of conserving total concentration and volume |
---|
900 | !! |
---|
901 | !! |
---|
902 | !! ** Arguments : phti: 1-cat ice thickness |
---|
903 | !! phts: 1-cat snow depth |
---|
904 | !! pati: 1-cat ice concentration |
---|
905 | !! |
---|
906 | !! ** Output : jpl-cat |
---|
907 | !! |
---|
908 | !! Abraham, C., Steiner, N., Monahan, A. and Michel, C., 2015. |
---|
909 | !! Effects of subgrid‐scale snow thickness variability on radiative transfer in sea ice. |
---|
910 | !! Journal of Geophysical Research: Oceans, 120(8), pp.5597-5614 |
---|
911 | !!------------------------------------------------------------------- |
---|
912 | REAL(wp), DIMENSION(:), INTENT(in) :: phti, phts, pati ! input ice/snow variables |
---|
913 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: ph_i, ph_s, pa_i ! output ice/snow variables |
---|
914 | REAL(wp), DIMENSION(:) , INTENT(in) :: ptmi, ptms, ptmsu, psmi, patip, phtip, phtil ! input ice/snow temp & sal & ponds |
---|
915 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ! output ice/snow temp & sal & ponds |
---|
916 | ! |
---|
917 | REAL(wp), ALLOCATABLE, DIMENSION(:) :: zfra, z1_hti |
---|
918 | INTEGER :: ji, jk, jl |
---|
919 | INTEGER :: idim |
---|
920 | REAL(wp) :: zv, zdh |
---|
921 | !!------------------------------------------------------------------- |
---|
922 | ! |
---|
923 | idim = SIZE( phti , 1 ) |
---|
924 | ! |
---|
925 | ph_i(1:idim,1:jpl) = 0._wp |
---|
926 | ph_s(1:idim,1:jpl) = 0._wp |
---|
927 | pa_i(1:idim,1:jpl) = 0._wp |
---|
928 | ! |
---|
929 | ALLOCATE( z1_hti(idim) ) |
---|
930 | WHERE( phti(:) /= 0._wp ) ; z1_hti(:) = 1._wp / phti(:) |
---|
931 | ELSEWHERE ; z1_hti(:) = 0._wp |
---|
932 | END WHERE |
---|
933 | ! |
---|
934 | ! == thickness and concentration == ! |
---|
935 | ! for categories 1:jpl-1, integrate the gamma function from hi_max(jl-1) to hi_max(jl) |
---|
936 | DO jl = 1, jpl-1 |
---|
937 | DO ji = 1, idim |
---|
938 | ! |
---|
939 | IF( phti(ji) > 0._wp ) THEN |
---|
940 | ! concentration : integrate ((4A/H^2)xexp(-2x/H))dx from x=hi_max(jl-1) to hi_max(jl) |
---|
941 | pa_i(ji,jl) = pati(ji) * z1_hti(ji) * ( ( phti(ji) + 2.*hi_max(jl-1) ) * EXP( -2.*hi_max(jl-1)*z1_hti(ji) ) & |
---|
942 | & - ( phti(ji) + 2.*hi_max(jl ) ) * EXP( -2.*hi_max(jl )*z1_hti(ji) ) ) |
---|
943 | ! |
---|
944 | ! volume : integrate ((4A/H^2)x^2exp(-2x/H))dx from x=hi_max(jl-1) to hi_max(jl) |
---|
945 | zv = pati(ji) * z1_hti(ji) * ( ( phti(ji)*phti(ji) + 2.*phti(ji)*hi_max(jl-1) + 2.*hi_max(jl-1)*hi_max(jl-1) ) & |
---|
946 | & * EXP( -2.*hi_max(jl-1)*z1_hti(ji) ) & |
---|
947 | & - ( phti(ji)*phti(ji) + 2.*phti(ji)*hi_max(jl) + 2.*hi_max(jl)*hi_max(jl) ) & |
---|
948 | & * EXP(-2.*hi_max(jl)*z1_hti(ji)) ) |
---|
949 | ! thickness |
---|
950 | IF( pa_i(ji,jl) > epsi06 ) THEN |
---|
951 | ph_i(ji,jl) = zv / pa_i(ji,jl) |
---|
952 | ELSE |
---|
953 | ph_i(ji,jl) = 0. |
---|
954 | pa_i(ji,jl) = 0. |
---|
955 | ENDIF |
---|
956 | ENDIF |
---|
957 | ! |
---|
958 | ENDDO |
---|
959 | ENDDO |
---|
960 | ! |
---|
961 | ! for the last category (jpl), integrate the gamma function from hi_max(jpl-1) to infinity |
---|
962 | DO ji = 1, idim |
---|
963 | ! |
---|
964 | IF( phti(ji) > 0._wp ) THEN |
---|
965 | ! concentration : integrate ((4A/H^2)xexp(-2x/H))dx from x=hi_max(jpl-1) to infinity |
---|
966 | pa_i(ji,jpl) = pati(ji) * z1_hti(ji) * ( phti(ji) + 2.*hi_max(jpl-1) ) * EXP( -2.*hi_max(jpl-1)*z1_hti(ji) ) |
---|
967 | |
---|
968 | ! volume : integrate ((4A/H^2)x^2exp(-2x/H))dx from x=hi_max(jpl-1) to infinity |
---|
969 | zv = pati(ji) * z1_hti(ji) * ( phti(ji)*phti(ji) + 2.*phti(ji)*hi_max(jpl-1) + 2.*hi_max(jpl-1)*hi_max(jpl-1) ) & |
---|
970 | & * EXP( -2.*hi_max(jpl-1)*z1_hti(ji) ) |
---|
971 | ! thickness |
---|
972 | IF( pa_i(ji,jpl) > epsi06 ) THEN |
---|
973 | ph_i(ji,jpl) = zv / pa_i(ji,jpl) |
---|
974 | else |
---|
975 | ph_i(ji,jpl) = 0. |
---|
976 | pa_i(ji,jpl) = 0. |
---|
977 | ENDIF |
---|
978 | ENDIF |
---|
979 | ! |
---|
980 | ENDDO |
---|
981 | ! |
---|
982 | ! Add Snow in each category where pa_i is not 0 |
---|
983 | DO jl = 1, jpl |
---|
984 | DO ji = 1, idim |
---|
985 | IF( pa_i(ji,jl) > 0._wp ) THEN |
---|
986 | ph_s(ji,jl) = ph_i(ji,jl) * phts(ji) * z1_hti(ji) |
---|
987 | ! In case snow load is in excess that would lead to transformation from snow to ice |
---|
988 | ! Then, transfer the snow excess into the ice (different from icethd_dh) |
---|
989 | zdh = MAX( 0._wp, ( rhos * ph_s(ji,jl) + ( rhoi - rho0 ) * ph_i(ji,jl) ) * r1_rho0 ) |
---|
990 | ! recompute h_i, h_s avoiding out of bounds values |
---|
991 | ph_i(ji,jl) = MIN( hi_max(jl), ph_i(ji,jl) + zdh ) |
---|
992 | ph_s(ji,jl) = MAX( 0._wp, ph_s(ji,jl) - zdh * rhoi * r1_rhos ) |
---|
993 | ENDIF |
---|
994 | END DO |
---|
995 | END DO |
---|
996 | ! |
---|
997 | DEALLOCATE( z1_hti ) |
---|
998 | ! |
---|
999 | ! == temperature and salinity == ! |
---|
1000 | DO jl = 1, jpl |
---|
1001 | pt_i (:,jl) = ptmi (:) |
---|
1002 | pt_s (:,jl) = ptms (:) |
---|
1003 | pt_su(:,jl) = ptmsu(:) |
---|
1004 | ps_i (:,jl) = psmi (:) |
---|
1005 | END DO |
---|
1006 | ! |
---|
1007 | ! == ponds == ! |
---|
1008 | ALLOCATE( zfra(idim) ) |
---|
1009 | ! keep the same pond fraction atip/ati for each category |
---|
1010 | WHERE( pati(:) /= 0._wp ) ; zfra(:) = patip(:) / pati(:) |
---|
1011 | ELSEWHERE ; zfra(:) = 0._wp |
---|
1012 | END WHERE |
---|
1013 | DO jl = 1, jpl |
---|
1014 | pa_ip(:,jl) = zfra(:) * pa_i(:,jl) |
---|
1015 | END DO |
---|
1016 | ! keep the same v_ip/v_i ratio for each category |
---|
1017 | WHERE( ( phti(:) * pati(:) ) /= 0._wp ) ; zfra(:) = ( phtip(:) * patip(:) ) / ( phti(:) * pati(:) ) |
---|
1018 | ELSEWHERE ; zfra(:) = 0._wp |
---|
1019 | END WHERE |
---|
1020 | DO jl = 1, jpl |
---|
1021 | WHERE( pa_ip(:,jl) /= 0._wp ) ; ph_ip(:,jl) = zfra(:) * ( ph_i(:,jl) * pa_i(:,jl) ) / pa_ip(:,jl) |
---|
1022 | ELSEWHERE ; ph_ip(:,jl) = 0._wp |
---|
1023 | END WHERE |
---|
1024 | END DO |
---|
1025 | ! keep the same v_il/v_i ratio for each category |
---|
1026 | WHERE( ( phti(:) * pati(:) ) /= 0._wp ) ; zfra(:) = ( phtil(:) * patip(:) ) / ( phti(:) * pati(:) ) |
---|
1027 | ELSEWHERE ; zfra(:) = 0._wp |
---|
1028 | END WHERE |
---|
1029 | DO jl = 1, jpl |
---|
1030 | WHERE( pa_ip(:,jl) /= 0._wp ) ; ph_il(:,jl) = zfra(:) * ( ph_i(:,jl) * pa_i(:,jl) ) / pa_ip(:,jl) |
---|
1031 | ELSEWHERE ; ph_il(:,jl) = 0._wp |
---|
1032 | END WHERE |
---|
1033 | END DO |
---|
1034 | DEALLOCATE( zfra ) |
---|
1035 | ! |
---|
1036 | END SUBROUTINE ice_var_itd_1cMc |
---|
1037 | |
---|
1038 | SUBROUTINE ice_var_itd_NcMc( phti, phts, pati , ph_i, ph_s, pa_i, & |
---|
1039 | & ptmi, ptms, ptmsu, psmi, patip, phtip, phtil, pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ) |
---|
1040 | !!------------------------------------------------------------------- |
---|
1041 | !! |
---|
1042 | !! ** Purpose : converting N-cat ice to jpl ice categories |
---|
1043 | !! |
---|
1044 | !! ice thickness distribution follows a gaussian law |
---|
1045 | !! around the concentration of the most likely ice thickness |
---|
1046 | !! (similar as iceistate.F90) |
---|
1047 | !! |
---|
1048 | !! ** Method: Iterative procedure |
---|
1049 | !! |
---|
1050 | !! 1) Fill ice cat that correspond to input thicknesses |
---|
1051 | !! Find the lowest(jlmin) and highest(jlmax) cat that are filled |
---|
1052 | !! |
---|
1053 | !! 2) Expand the filling to the cat jlmin-1 and jlmax+1 |
---|
1054 | !! by removing 25% ice area from jlmin and jlmax (resp.) |
---|
1055 | !! |
---|
1056 | !! 3) Expand the filling to the empty cat between jlmin and jlmax |
---|
1057 | !! by a) removing 25% ice area from the lower cat (ascendant loop jlmin=>jlmax) |
---|
1058 | !! b) removing 25% ice area from the higher cat (descendant loop jlmax=>jlmin) |
---|
1059 | !! |
---|
1060 | !! ** Arguments : phti: N-cat ice thickness |
---|
1061 | !! phts: N-cat snow depth |
---|
1062 | !! pati: N-cat ice concentration |
---|
1063 | !! |
---|
1064 | !! ** Output : jpl-cat |
---|
1065 | !! |
---|
1066 | !! (Example of application: BDY forcings when inputs have N-cat /= jpl) |
---|
1067 | !!------------------------------------------------------------------- |
---|
1068 | REAL(wp), DIMENSION(:,:), INTENT(in) :: phti, phts, pati ! input ice/snow variables |
---|
1069 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: ph_i, ph_s, pa_i ! output ice/snow variables |
---|
1070 | REAL(wp), DIMENSION(:,:), INTENT(in) :: ptmi, ptms, ptmsu, psmi, patip, phtip, phtil ! input ice/snow temp & sal & ponds |
---|
1071 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ! output ice/snow temp & sal & ponds |
---|
1072 | ! |
---|
1073 | INTEGER , ALLOCATABLE, DIMENSION(:,:) :: jlfil, jlfil2 |
---|
1074 | INTEGER , ALLOCATABLE, DIMENSION(:) :: jlmax, jlmin |
---|
1075 | REAL(wp), ALLOCATABLE, DIMENSION(:) :: z1_ai, z1_vi, z1_vs, ztmp, zfra |
---|
1076 | ! |
---|
1077 | REAL(wp), PARAMETER :: ztrans = 0.25_wp |
---|
1078 | INTEGER :: ji, jl, jl1, jl2 |
---|
1079 | INTEGER :: idim, icat |
---|
1080 | !!------------------------------------------------------------------- |
---|
1081 | ! |
---|
1082 | idim = SIZE( phti, 1 ) |
---|
1083 | icat = SIZE( phti, 2 ) |
---|
1084 | ! |
---|
1085 | ! == thickness and concentration == ! |
---|
1086 | ! ! ---------------------- ! |
---|
1087 | IF( icat == jpl ) THEN ! input cat = output cat ! |
---|
1088 | ! ! ---------------------- ! |
---|
1089 | ph_i(:,:) = phti(:,:) |
---|
1090 | ph_s(:,:) = phts(:,:) |
---|
1091 | pa_i(:,:) = pati(:,:) |
---|
1092 | ! |
---|
1093 | ! == temperature and salinity and ponds == ! |
---|
1094 | pt_i (:,:) = ptmi (:,:) |
---|
1095 | pt_s (:,:) = ptms (:,:) |
---|
1096 | pt_su(:,:) = ptmsu(:,:) |
---|
1097 | ps_i (:,:) = psmi (:,:) |
---|
1098 | pa_ip(:,:) = patip(:,:) |
---|
1099 | ph_ip(:,:) = phtip(:,:) |
---|
1100 | ph_il(:,:) = phtil(:,:) |
---|
1101 | ! ! ---------------------- ! |
---|
1102 | ELSEIF( icat == 1 ) THEN ! input cat = 1 ! |
---|
1103 | ! ! ---------------------- ! |
---|
1104 | CALL ice_var_itd_1cMc( phti(:,1), phts(:,1), pati (:,1), & |
---|
1105 | & ph_i(:,:), ph_s(:,:), pa_i (:,:), & |
---|
1106 | & ptmi(:,1), ptms(:,1), ptmsu(:,1), psmi(:,1), patip(:,1), phtip(:,1), phtil(:,1), & |
---|
1107 | & pt_i(:,:), pt_s(:,:), pt_su(:,:), ps_i(:,:), pa_ip(:,:), ph_ip(:,:), ph_il(:,:) ) |
---|
1108 | ! ! ---------------------- ! |
---|
1109 | ELSEIF( jpl == 1 ) THEN ! output cat = 1 ! |
---|
1110 | ! ! ---------------------- ! |
---|
1111 | CALL ice_var_itd_Nc1c( phti(:,:), phts(:,:), pati (:,:), & |
---|
1112 | & ph_i(:,1), ph_s(:,1), pa_i (:,1), & |
---|
1113 | & ptmi(:,:), ptms(:,:), ptmsu(:,:), psmi(:,:), patip(:,:), phtip(:,:), phtil(:,:), & |
---|
1114 | & pt_i(:,1), pt_s(:,1), pt_su(:,1), ps_i(:,1), pa_ip(:,1), ph_ip(:,1), ph_il(:,1) ) |
---|
1115 | ! ! ----------------------- ! |
---|
1116 | ELSE ! input cat /= output cat ! |
---|
1117 | ! ! ----------------------- ! |
---|
1118 | |
---|
1119 | ALLOCATE( jlfil(idim,jpl), jlfil2(idim,jpl) ) ! allocate arrays |
---|
1120 | ALLOCATE( jlmin(idim), jlmax(idim) ) |
---|
1121 | |
---|
1122 | ! --- initialize output fields to 0 --- ! |
---|
1123 | ph_i(1:idim,1:jpl) = 0._wp |
---|
1124 | ph_s(1:idim,1:jpl) = 0._wp |
---|
1125 | pa_i(1:idim,1:jpl) = 0._wp |
---|
1126 | ! |
---|
1127 | ! --- fill the categories --- ! |
---|
1128 | ! find where cat-input = cat-output and fill cat-output fields |
---|
1129 | jlmax(:) = 0 |
---|
1130 | jlmin(:) = 999 |
---|
1131 | jlfil(:,:) = 0 |
---|
1132 | DO jl1 = 1, jpl |
---|
1133 | DO jl2 = 1, icat |
---|
1134 | DO ji = 1, idim |
---|
1135 | IF( hi_max(jl1-1) <= phti(ji,jl2) .AND. hi_max(jl1) > phti(ji,jl2) ) THEN |
---|
1136 | ! fill the right category |
---|
1137 | ph_i(ji,jl1) = phti(ji,jl2) |
---|
1138 | ph_s(ji,jl1) = phts(ji,jl2) |
---|
1139 | pa_i(ji,jl1) = pati(ji,jl2) |
---|
1140 | ! record categories that are filled |
---|
1141 | jlmax(ji) = MAX( jlmax(ji), jl1 ) |
---|
1142 | jlmin(ji) = MIN( jlmin(ji), jl1 ) |
---|
1143 | jlfil(ji,jl1) = jl1 |
---|
1144 | ENDIF |
---|
1145 | END DO |
---|
1146 | END DO |
---|
1147 | END DO |
---|
1148 | ! |
---|
1149 | ! --- fill the gaps between categories --- ! |
---|
1150 | ! transfer from categories filled at the previous step to the empty ones in between |
---|
1151 | DO ji = 1, idim |
---|
1152 | jl1 = jlmin(ji) |
---|
1153 | jl2 = jlmax(ji) |
---|
1154 | IF( jl1 > 1 ) THEN |
---|
1155 | ! fill the lower cat (jl1-1) |
---|
1156 | pa_i(ji,jl1-1) = ztrans * pa_i(ji,jl1) |
---|
1157 | ph_i(ji,jl1-1) = hi_mean(jl1-1) |
---|
1158 | ! remove from cat jl1 |
---|
1159 | pa_i(ji,jl1 ) = ( 1._wp - ztrans ) * pa_i(ji,jl1) |
---|
1160 | ENDIF |
---|
1161 | IF( jl2 < jpl ) THEN |
---|
1162 | ! fill the upper cat (jl2+1) |
---|
1163 | pa_i(ji,jl2+1) = ztrans * pa_i(ji,jl2) |
---|
1164 | ph_i(ji,jl2+1) = hi_mean(jl2+1) |
---|
1165 | ! remove from cat jl2 |
---|
1166 | pa_i(ji,jl2 ) = ( 1._wp - ztrans ) * pa_i(ji,jl2) |
---|
1167 | ENDIF |
---|
1168 | END DO |
---|
1169 | ! |
---|
1170 | jlfil2(:,:) = jlfil(:,:) |
---|
1171 | ! fill categories from low to high |
---|
1172 | DO jl = 2, jpl-1 |
---|
1173 | DO ji = 1, idim |
---|
1174 | IF( jlfil(ji,jl-1) /= 0 .AND. jlfil(ji,jl) == 0 ) THEN |
---|
1175 | ! fill high |
---|
1176 | pa_i(ji,jl) = ztrans * pa_i(ji,jl-1) |
---|
1177 | ph_i(ji,jl) = hi_mean(jl) |
---|
1178 | jlfil(ji,jl) = jl |
---|
1179 | ! remove low |
---|
1180 | pa_i(ji,jl-1) = ( 1._wp - ztrans ) * pa_i(ji,jl-1) |
---|
1181 | ENDIF |
---|
1182 | END DO |
---|
1183 | END DO |
---|
1184 | ! |
---|
1185 | ! fill categories from high to low |
---|
1186 | DO jl = jpl-1, 2, -1 |
---|
1187 | DO ji = 1, idim |
---|
1188 | IF( jlfil2(ji,jl+1) /= 0 .AND. jlfil2(ji,jl) == 0 ) THEN |
---|
1189 | ! fill low |
---|
1190 | pa_i(ji,jl) = pa_i(ji,jl) + ztrans * pa_i(ji,jl+1) |
---|
1191 | ph_i(ji,jl) = hi_mean(jl) |
---|
1192 | jlfil2(ji,jl) = jl |
---|
1193 | ! remove high |
---|
1194 | pa_i(ji,jl+1) = ( 1._wp - ztrans ) * pa_i(ji,jl+1) |
---|
1195 | ENDIF |
---|
1196 | END DO |
---|
1197 | END DO |
---|
1198 | ! |
---|
1199 | DEALLOCATE( jlfil, jlfil2 ) ! deallocate arrays |
---|
1200 | DEALLOCATE( jlmin, jlmax ) |
---|
1201 | ! |
---|
1202 | ! == temperature and salinity == ! |
---|
1203 | ! |
---|
1204 | ALLOCATE( z1_ai(idim), z1_vi(idim), z1_vs(idim), ztmp(idim) ) |
---|
1205 | ! |
---|
1206 | WHERE( SUM( pa_i(:,:), dim=2 ) /= 0._wp ) ; z1_ai(:) = 1._wp / SUM( pa_i(:,:), dim=2 ) |
---|
1207 | ELSEWHERE ; z1_ai(:) = 0._wp |
---|
1208 | END WHERE |
---|
1209 | WHERE( SUM( pa_i(:,:) * ph_i(:,:), dim=2 ) /= 0._wp ) ; z1_vi(:) = 1._wp / SUM( pa_i(:,:) * ph_i(:,:), dim=2 ) |
---|
1210 | ELSEWHERE ; z1_vi(:) = 0._wp |
---|
1211 | END WHERE |
---|
1212 | WHERE( SUM( pa_i(:,:) * ph_s(:,:), dim=2 ) /= 0._wp ) ; z1_vs(:) = 1._wp / SUM( pa_i(:,:) * ph_s(:,:), dim=2 ) |
---|
1213 | ELSEWHERE ; z1_vs(:) = 0._wp |
---|
1214 | END WHERE |
---|
1215 | ! |
---|
1216 | ! fill all the categories with the same value |
---|
1217 | ztmp(:) = SUM( ptmi (:,:) * pati(:,:) * phti(:,:), dim=2 ) * z1_vi(:) |
---|
1218 | DO jl = 1, jpl |
---|
1219 | pt_i (:,jl) = ztmp(:) |
---|
1220 | END DO |
---|
1221 | ztmp(:) = SUM( ptms (:,:) * pati(:,:) * phts(:,:), dim=2 ) * z1_vs(:) |
---|
1222 | DO jl = 1, jpl |
---|
1223 | pt_s (:,jl) = ztmp(:) |
---|
1224 | END DO |
---|
1225 | ztmp(:) = SUM( ptmsu(:,:) * pati(:,:) , dim=2 ) * z1_ai(:) |
---|
1226 | DO jl = 1, jpl |
---|
1227 | pt_su(:,jl) = ztmp(:) |
---|
1228 | END DO |
---|
1229 | ztmp(:) = SUM( psmi (:,:) * pati(:,:) * phti(:,:), dim=2 ) * z1_vi(:) |
---|
1230 | DO jl = 1, jpl |
---|
1231 | ps_i (:,jl) = ztmp(:) |
---|
1232 | END DO |
---|
1233 | ! |
---|
1234 | DEALLOCATE( z1_ai, z1_vi, z1_vs, ztmp ) |
---|
1235 | ! |
---|
1236 | ! == ponds == ! |
---|
1237 | ALLOCATE( zfra(idim) ) |
---|
1238 | ! keep the same pond fraction atip/ati for each category |
---|
1239 | WHERE( SUM( pati(:,:), dim=2 ) /= 0._wp ) ; zfra(:) = SUM( patip(:,:), dim=2 ) / SUM( pati(:,:), dim=2 ) |
---|
1240 | ELSEWHERE ; zfra(:) = 0._wp |
---|
1241 | END WHERE |
---|
1242 | DO jl = 1, jpl |
---|
1243 | pa_ip(:,jl) = zfra(:) * pa_i(:,jl) |
---|
1244 | END DO |
---|
1245 | ! keep the same v_ip/v_i ratio for each category |
---|
1246 | WHERE( SUM( phti(:,:) * pati(:,:), dim=2 ) /= 0._wp ) |
---|
1247 | zfra(:) = SUM( phtip(:,:) * patip(:,:), dim=2 ) / SUM( phti(:,:) * pati(:,:), dim=2 ) |
---|
1248 | ELSEWHERE |
---|
1249 | zfra(:) = 0._wp |
---|
1250 | END WHERE |
---|
1251 | DO jl = 1, jpl |
---|
1252 | WHERE( pa_ip(:,jl) /= 0._wp ) ; ph_ip(:,jl) = zfra(:) * ( ph_i(:,jl) * pa_i(:,jl) ) / pa_ip(:,jl) |
---|
1253 | ELSEWHERE ; ph_ip(:,jl) = 0._wp |
---|
1254 | END WHERE |
---|
1255 | END DO |
---|
1256 | ! keep the same v_il/v_i ratio for each category |
---|
1257 | WHERE( SUM( phti(:,:) * pati(:,:), dim=2 ) /= 0._wp ) |
---|
1258 | zfra(:) = SUM( phtil(:,:) * patip(:,:), dim=2 ) / SUM( phti(:,:) * pati(:,:), dim=2 ) |
---|
1259 | ELSEWHERE |
---|
1260 | zfra(:) = 0._wp |
---|
1261 | END WHERE |
---|
1262 | DO jl = 1, jpl |
---|
1263 | WHERE( pa_ip(:,jl) /= 0._wp ) ; ph_il(:,jl) = zfra(:) * ( ph_i(:,jl) * pa_i(:,jl) ) / pa_ip(:,jl) |
---|
1264 | ELSEWHERE ; ph_il(:,jl) = 0._wp |
---|
1265 | END WHERE |
---|
1266 | END DO |
---|
1267 | DEALLOCATE( zfra ) |
---|
1268 | ! |
---|
1269 | ENDIF |
---|
1270 | ! |
---|
1271 | END SUBROUTINE ice_var_itd_NcMc |
---|
1272 | |
---|
1273 | !!------------------------------------------------------------------- |
---|
1274 | !! INTERFACE ice_var_snwfra |
---|
1275 | !! |
---|
1276 | !! ** Purpose : fraction of ice covered by snow |
---|
1277 | !! |
---|
1278 | !! ** Method : In absence of proper snow model on top of sea ice, |
---|
1279 | !! we argue that snow does not cover the whole ice because |
---|
1280 | !! of wind blowing... |
---|
1281 | !! |
---|
1282 | !! ** Arguments : ph_s: snow thickness |
---|
1283 | !! |
---|
1284 | !! ** Output : pa_s_fra: fraction of ice covered by snow |
---|
1285 | !! |
---|
1286 | !!------------------------------------------------------------------- |
---|
1287 | SUBROUTINE ice_var_snwfra_3d( ph_s, pa_s_fra ) |
---|
1288 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: ph_s ! snow thickness |
---|
1289 | REAL(wp), DIMENSION(:,:,:), INTENT( out) :: pa_s_fra ! ice fraction covered by snow |
---|
1290 | IF ( nn_snwfra == 0 ) THEN ! basic 0 or 1 snow cover |
---|
1291 | WHERE( ph_s > 0._wp ) ; pa_s_fra = 1._wp |
---|
1292 | ELSEWHERE ; pa_s_fra = 0._wp |
---|
1293 | END WHERE |
---|
1294 | ELSEIF( nn_snwfra == 1 ) THEN ! snow cover depends on hsnow (met-office style) |
---|
1295 | pa_s_fra = 1._wp - EXP( -0.2_wp * rhos * ph_s ) |
---|
1296 | ELSEIF( nn_snwfra == 2 ) THEN ! snow cover depends on hsnow (cice style) |
---|
1297 | pa_s_fra = ph_s / ( ph_s + 0.02_wp ) |
---|
1298 | ENDIF |
---|
1299 | END SUBROUTINE ice_var_snwfra_3d |
---|
1300 | |
---|
1301 | SUBROUTINE ice_var_snwfra_2d( ph_s, pa_s_fra ) |
---|
1302 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: ph_s ! snow thickness |
---|
1303 | REAL(wp), DIMENSION(:,:), INTENT( out) :: pa_s_fra ! ice fraction covered by snow |
---|
1304 | IF ( nn_snwfra == 0 ) THEN ! basic 0 or 1 snow cover |
---|
1305 | WHERE( ph_s > 0._wp ) ; pa_s_fra = 1._wp |
---|
1306 | ELSEWHERE ; pa_s_fra = 0._wp |
---|
1307 | END WHERE |
---|
1308 | ELSEIF( nn_snwfra == 1 ) THEN ! snow cover depends on hsnow (met-office style) |
---|
1309 | pa_s_fra = 1._wp - EXP( -0.2_wp * rhos * ph_s ) |
---|
1310 | ELSEIF( nn_snwfra == 2 ) THEN ! snow cover depends on hsnow (cice style) |
---|
1311 | pa_s_fra = ph_s / ( ph_s + 0.02_wp ) |
---|
1312 | ENDIF |
---|
1313 | END SUBROUTINE ice_var_snwfra_2d |
---|
1314 | |
---|
1315 | SUBROUTINE ice_var_snwfra_1d( ph_s, pa_s_fra ) |
---|
1316 | REAL(wp), DIMENSION(:), INTENT(in ) :: ph_s ! snow thickness |
---|
1317 | REAL(wp), DIMENSION(:), INTENT( out) :: pa_s_fra ! ice fraction covered by snow |
---|
1318 | IF ( nn_snwfra == 0 ) THEN ! basic 0 or 1 snow cover |
---|
1319 | WHERE( ph_s > 0._wp ) ; pa_s_fra = 1._wp |
---|
1320 | ELSEWHERE ; pa_s_fra = 0._wp |
---|
1321 | END WHERE |
---|
1322 | ELSEIF( nn_snwfra == 1 ) THEN ! snow cover depends on hsnow (met-office style) |
---|
1323 | pa_s_fra = 1._wp - EXP( -0.2_wp * rhos * ph_s ) |
---|
1324 | ELSEIF( nn_snwfra == 2 ) THEN ! snow cover depends on hsnow (cice style) |
---|
1325 | pa_s_fra = ph_s / ( ph_s + 0.02_wp ) |
---|
1326 | ENDIF |
---|
1327 | END SUBROUTINE ice_var_snwfra_1d |
---|
1328 | |
---|
1329 | !!-------------------------------------------------------------------------- |
---|
1330 | !! INTERFACE ice_var_snwblow |
---|
1331 | !! |
---|
1332 | !! ** Purpose : Compute distribution of precip over the ice |
---|
1333 | !! |
---|
1334 | !! Snow accumulation in one thermodynamic time step |
---|
1335 | !! snowfall is partitionned between leads and ice. |
---|
1336 | !! If snow fall was uniform, a fraction (1-at_i) would fall into leads |
---|
1337 | !! but because of the winds, more snow falls on leads than on sea ice |
---|
1338 | !! and a greater fraction (1-at_i)^beta of the total mass of snow |
---|
1339 | !! (beta < 1) falls in leads. |
---|
1340 | !! In reality, beta depends on wind speed, |
---|
1341 | !! and should decrease with increasing wind speed but here, it is |
---|
1342 | !! considered as a constant. an average value is 0.66 |
---|
1343 | !!-------------------------------------------------------------------------- |
---|
1344 | !!gm I think it can be usefull to set this as a FUNCTION, not a SUBROUTINE.... |
---|
1345 | SUBROUTINE ice_var_snwblow_2d( pin, pout ) |
---|
1346 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pin ! previous fraction lead ( 1. - a_i_b ) |
---|
1347 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pout |
---|
1348 | pout = ( 1._wp - ( pin )**rn_snwblow ) |
---|
1349 | END SUBROUTINE ice_var_snwblow_2d |
---|
1350 | |
---|
1351 | SUBROUTINE ice_var_snwblow_1d( pin, pout ) |
---|
1352 | REAL(wp), DIMENSION(:), INTENT(in ) :: pin |
---|
1353 | REAL(wp), DIMENSION(:), INTENT(inout) :: pout |
---|
1354 | pout = ( 1._wp - ( pin )**rn_snwblow ) |
---|
1355 | END SUBROUTINE ice_var_snwblow_1d |
---|
1356 | |
---|
1357 | #else |
---|
1358 | !!---------------------------------------------------------------------- |
---|
1359 | !! Default option Dummy module NO SI3 sea-ice model |
---|
1360 | !!---------------------------------------------------------------------- |
---|
1361 | #endif |
---|
1362 | |
---|
1363 | !!====================================================================== |
---|
1364 | END MODULE icevar |
---|