1 | MODULE limvar |
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2 | !!====================================================================== |
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3 | !! *** MODULE limvar *** |
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4 | !! Different sets of ice model variables |
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5 | !! how to switch from one to another |
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6 | !! |
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7 | !! There are three sets of variables |
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8 | !! VGLO : global variables of the model |
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9 | !! - v_i (jpi,jpj,jpl) |
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10 | !! - v_s (jpi,jpj,jpl) |
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11 | !! - a_i (jpi,jpj,jpl) |
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12 | !! - t_s (jpi,jpj,jpl) |
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13 | !! - e_i (jpi,jpj,nlay_i,jpl) |
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14 | !! - smv_i(jpi,jpj,jpl) |
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15 | !! - oa_i (jpi,jpj,jpl) |
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16 | !! VEQV : equivalent variables sometimes used in the model |
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17 | !! - ht_i(jpi,jpj,jpl) |
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18 | !! - ht_s(jpi,jpj,jpl) |
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19 | !! - t_i (jpi,jpj,nlay_i,jpl) |
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20 | !! ... |
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21 | !! VAGG : aggregate variables, averaged/summed over all |
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22 | !! thickness categories |
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23 | !! - vt_i(jpi,jpj) |
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24 | !! - vt_s(jpi,jpj) |
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25 | !! - at_i(jpi,jpj) |
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26 | !! - et_s(jpi,jpj) !total snow heat content |
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27 | !! - et_i(jpi,jpj) !total ice thermal content |
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28 | !! - smt_i(jpi,jpj) !mean ice salinity |
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29 | !! - ot_i(jpi,jpj) !average ice age |
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30 | !!====================================================================== |
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31 | !! History : - ! 2006-01 (M. Vancoppenolle) Original code |
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32 | !! 3.4 ! 2011-02 (G. Madec) dynamical allocation |
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33 | !!---------------------------------------------------------------------- |
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34 | #if defined key_lim3 |
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35 | !!---------------------------------------------------------------------- |
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36 | !! 'key_lim3' LIM3 sea-ice model |
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37 | !!---------------------------------------------------------------------- |
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38 | USE par_oce ! ocean parameters |
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39 | USE phycst ! physical constants (ocean directory) |
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40 | USE sbc_oce ! Surface boundary condition: ocean fields |
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41 | USE ice ! ice variables |
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42 | USE thd_ice ! ice variables (thermodynamics) |
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43 | USE dom_ice ! ice domain |
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44 | USE in_out_manager ! I/O manager |
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45 | USE lib_mpp ! MPP library |
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46 | USE wrk_nemo ! work arrays |
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47 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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48 | |
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49 | IMPLICIT NONE |
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50 | PRIVATE |
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51 | |
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52 | PUBLIC lim_var_agg |
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53 | PUBLIC lim_var_glo2eqv |
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54 | PUBLIC lim_var_eqv2glo |
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55 | PUBLIC lim_var_salprof |
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56 | PUBLIC lim_var_icetm |
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57 | PUBLIC lim_var_bv |
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58 | PUBLIC lim_var_salprof1d |
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59 | PUBLIC lim_var_zapsmall |
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60 | PUBLIC lim_var_itd |
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61 | |
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62 | !!---------------------------------------------------------------------- |
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63 | !! NEMO/LIM3 3.5 , UCL - NEMO Consortium (2011) |
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64 | !! $Id$ |
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65 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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66 | !!---------------------------------------------------------------------- |
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67 | CONTAINS |
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68 | |
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69 | SUBROUTINE lim_var_agg( kn ) |
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70 | !!------------------------------------------------------------------ |
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71 | !! *** ROUTINE lim_var_agg *** |
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72 | !! |
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73 | !! ** Purpose : aggregates ice-thickness-category variables to all-ice variables |
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74 | !! i.e. it turns VGLO into VAGG |
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75 | !! ** Method : |
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76 | !! |
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77 | !! ** Arguments : n = 1, at_i vt_i only |
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78 | !! n = 2 everything |
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79 | !! |
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80 | !! note : you could add an argument when you need only at_i, vt_i |
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81 | !! and when you need everything |
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82 | !!------------------------------------------------------------------ |
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83 | INTEGER, INTENT( in ) :: kn ! =1 at_i & vt only ; = what is needed |
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84 | ! |
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85 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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86 | !!------------------------------------------------------------------ |
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87 | |
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88 | !-------------------- |
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89 | ! Compute variables |
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90 | !-------------------- |
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91 | vt_i (:,:) = 0._wp |
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92 | vt_s (:,:) = 0._wp |
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93 | at_i (:,:) = 0._wp |
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94 | ato_i(:,:) = 1._wp |
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95 | ! |
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96 | DO jl = 1, jpl |
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97 | DO jj = 1, jpj |
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98 | DO ji = 1, jpi |
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99 | ! |
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100 | vt_i(ji,jj) = vt_i(ji,jj) + v_i(ji,jj,jl) ! ice volume |
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101 | vt_s(ji,jj) = vt_s(ji,jj) + v_s(ji,jj,jl) ! snow volume |
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102 | at_i(ji,jj) = at_i(ji,jj) + a_i(ji,jj,jl) ! ice concentration |
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103 | ! |
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104 | rswitch = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi10 ) ) |
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105 | icethi(ji,jj) = vt_i(ji,jj) / MAX( at_i(ji,jj) , epsi10 ) * rswitch ! ice thickness |
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106 | END DO |
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107 | END DO |
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108 | END DO |
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109 | |
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110 | DO jj = 1, jpj |
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111 | DO ji = 1, jpi |
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112 | ato_i(ji,jj) = MAX( 1._wp - at_i(ji,jj), 0._wp ) ! open water fraction |
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113 | END DO |
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114 | END DO |
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115 | |
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116 | IF( kn > 1 ) THEN |
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117 | et_s (:,:) = 0._wp |
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118 | ot_i (:,:) = 0._wp |
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119 | smt_i(:,:) = 0._wp |
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120 | et_i (:,:) = 0._wp |
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121 | ! |
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122 | DO jl = 1, jpl |
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123 | DO jj = 1, jpj |
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124 | DO ji = 1, jpi |
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125 | et_s(ji,jj) = et_s(ji,jj) + e_s(ji,jj,1,jl) ! snow heat content |
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126 | rswitch = MAX( 0._wp , SIGN( 1._wp , vt_i(ji,jj) - epsi20 ) ) |
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127 | smt_i(ji,jj) = smt_i(ji,jj) + smv_i(ji,jj,jl) / MAX( vt_i(ji,jj) , epsi20 ) * rswitch ! ice salinity |
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128 | rswitch = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi20 ) ) |
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129 | ot_i(ji,jj) = ot_i(ji,jj) + oa_i(ji,jj,jl) / MAX( at_i(ji,jj) , epsi20 ) * rswitch ! ice age |
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130 | END DO |
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131 | END DO |
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132 | END DO |
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133 | ! |
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134 | DO jl = 1, jpl |
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135 | DO jk = 1, nlay_i |
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136 | et_i(:,:) = et_i(:,:) + e_i(:,:,jk,jl) ! ice heat content |
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137 | END DO |
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138 | END DO |
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139 | ! |
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140 | ENDIF |
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141 | ! |
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142 | END SUBROUTINE lim_var_agg |
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143 | |
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144 | |
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145 | SUBROUTINE lim_var_glo2eqv |
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146 | !!------------------------------------------------------------------ |
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147 | !! *** ROUTINE lim_var_glo2eqv *** |
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148 | !! |
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149 | !! ** Purpose : computes equivalent variables as function of global variables |
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150 | !! i.e. it turns VGLO into VEQV |
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151 | !!------------------------------------------------------------------ |
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152 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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153 | REAL(wp) :: zq_i, zaaa, zbbb, zccc, zdiscrim ! local scalars |
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154 | REAL(wp) :: ztmelts, zq_s, zfac1, zfac2 ! - - |
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155 | !!------------------------------------------------------------------ |
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156 | |
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157 | !------------------------------------------------------- |
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158 | ! Ice thickness, snow thickness, ice salinity, ice age |
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159 | !------------------------------------------------------- |
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160 | DO jl = 1, jpl |
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161 | DO jj = 1, jpj |
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162 | DO ji = 1, jpi |
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163 | rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi20 ) ) !0 if no ice and 1 if yes |
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164 | ht_i(ji,jj,jl) = v_i (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch |
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165 | END DO |
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166 | END DO |
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167 | END DO |
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168 | ! Force the upper limit of ht_i to always be < hi_max (99 m). |
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169 | DO jj = 1, jpj |
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170 | DO ji = 1, jpi |
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171 | rswitch = MAX( 0._wp , SIGN( 1._wp, ht_i(ji,jj,jpl) - epsi20 ) ) |
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172 | ht_i(ji,jj,jpl) = MIN( ht_i(ji,jj,jpl) , hi_max(jpl) ) |
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173 | a_i (ji,jj,jpl) = v_i(ji,jj,jpl) / MAX( ht_i(ji,jj,jpl) , epsi20 ) * rswitch |
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174 | END DO |
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175 | END DO |
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176 | |
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177 | DO jl = 1, jpl |
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178 | DO jj = 1, jpj |
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179 | DO ji = 1, jpi |
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180 | rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi20 ) ) !0 if no ice and 1 if yes |
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181 | ht_s(ji,jj,jl) = v_s (ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch |
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182 | o_i(ji,jj,jl) = oa_i(ji,jj,jl) / MAX( a_i(ji,jj,jl) , epsi20 ) * rswitch |
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183 | END DO |
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184 | END DO |
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185 | END DO |
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186 | |
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187 | IF( nn_icesal == 2 )THEN |
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188 | DO jl = 1, jpl |
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189 | DO jj = 1, jpj |
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190 | DO ji = 1, jpi |
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191 | rswitch = MAX( 0._wp , SIGN( 1._wp, v_i(ji,jj,jl) - epsi20 ) ) !0 if no ice and 1 if yes |
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192 | sm_i(ji,jj,jl) = smv_i(ji,jj,jl) / MAX( v_i(ji,jj,jl) , epsi20 ) * rswitch |
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193 | ! ! bounding salinity |
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194 | sm_i(ji,jj,jl) = MAX( sm_i(ji,jj,jl), rn_simin ) |
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195 | END DO |
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196 | END DO |
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197 | END DO |
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198 | ENDIF |
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199 | |
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200 | CALL lim_var_salprof ! salinity profile |
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201 | |
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202 | !------------------- |
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203 | ! Ice temperatures |
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204 | !------------------- |
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205 | DO jl = 1, jpl |
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206 | DO jk = 1, nlay_i |
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207 | DO jj = 1, jpj |
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208 | DO ji = 1, jpi |
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209 | ! ! Energy of melting q(S,T) [J.m-3] |
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210 | rswitch = MAX( 0.0 , SIGN( 1.0 , v_i(ji,jj,jl) - epsi20 ) ) ! rswitch = 0 if no ice and 1 if yes |
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211 | zq_i = rswitch * e_i(ji,jj,jk,jl) / MAX( v_i(ji,jj,jl) , epsi20 ) * REAL(nlay_i,wp) |
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212 | ztmelts = -tmut * s_i(ji,jj,jk,jl) + rt0 ! Ice layer melt temperature |
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213 | ! |
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214 | zaaa = cpic ! Conversion q(S,T) -> T (second order equation) |
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215 | zbbb = ( rcp - cpic ) * ( ztmelts - rt0 ) + zq_i * r1_rhoic - lfus |
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216 | zccc = lfus * (ztmelts-rt0) |
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217 | zdiscrim = SQRT( MAX(zbbb*zbbb - 4._wp*zaaa*zccc , 0._wp) ) |
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218 | t_i(ji,jj,jk,jl) = rt0 + rswitch *( - zbbb - zdiscrim ) / ( 2.0 *zaaa ) |
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219 | t_i(ji,jj,jk,jl) = MIN( ztmelts, MAX( rt0 - 100._wp, t_i(ji,jj,jk,jl) ) ) ! -100 < t_i < ztmelts |
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220 | END DO |
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221 | END DO |
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222 | END DO |
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223 | END DO |
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224 | |
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225 | !-------------------- |
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226 | ! Snow temperatures |
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227 | !-------------------- |
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228 | zfac1 = 1._wp / ( rhosn * cpic ) |
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229 | zfac2 = lfus / cpic |
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230 | DO jl = 1, jpl |
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231 | DO jk = 1, nlay_s |
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232 | DO jj = 1, jpj |
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233 | DO ji = 1, jpi |
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234 | !Energy of melting q(S,T) [J.m-3] |
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235 | rswitch = MAX( 0._wp , SIGN( 1._wp , v_s(ji,jj,jl) - epsi20 ) ) ! rswitch = 0 if no ice and 1 if yes |
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236 | zq_s = rswitch * e_s(ji,jj,jk,jl) / MAX( v_s(ji,jj,jl) , epsi20 ) * REAL(nlay_s,wp) |
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237 | ! |
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238 | t_s(ji,jj,jk,jl) = rt0 + rswitch * ( - zfac1 * zq_s + zfac2 ) |
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239 | t_s(ji,jj,jk,jl) = MIN( rt0, MAX( rt0 - 100._wp , t_s(ji,jj,jk,jl) ) ) ! -100 < t_s < rt0 |
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240 | END DO |
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241 | END DO |
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242 | END DO |
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243 | END DO |
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244 | |
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245 | !------------------- |
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246 | ! Mean temperature |
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247 | !------------------- |
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248 | vt_i (:,:) = 0._wp |
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249 | DO jl = 1, jpl |
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250 | vt_i(:,:) = vt_i(:,:) + v_i(:,:,jl) |
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251 | END DO |
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252 | |
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253 | tm_i(:,:) = 0._wp |
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254 | DO jl = 1, jpl |
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255 | DO jk = 1, nlay_i |
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256 | DO jj = 1, jpj |
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257 | DO ji = 1, jpi |
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258 | rswitch = MAX( 0._wp , SIGN( 1._wp , vt_i(ji,jj) - epsi10 ) ) |
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259 | tm_i(ji,jj) = tm_i(ji,jj) + r1_nlay_i * rswitch * ( t_i(ji,jj,jk,jl) - rt0 ) * v_i(ji,jj,jl) & |
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260 | & / MAX( vt_i(ji,jj) , epsi10 ) |
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261 | END DO |
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262 | END DO |
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263 | END DO |
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264 | END DO |
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265 | tm_i = tm_i + rt0 |
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266 | ! |
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267 | END SUBROUTINE lim_var_glo2eqv |
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268 | |
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269 | |
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270 | SUBROUTINE lim_var_eqv2glo |
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271 | !!------------------------------------------------------------------ |
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272 | !! *** ROUTINE lim_var_eqv2glo *** |
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273 | !! |
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274 | !! ** Purpose : computes global variables as function of equivalent variables |
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275 | !! i.e. it turns VEQV into VGLO |
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276 | !! ** Method : |
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277 | !! |
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278 | !! ** History : (01-2006) Martin Vancoppenolle, UCL-ASTR |
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279 | !!------------------------------------------------------------------ |
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280 | ! |
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281 | v_i(:,:,:) = ht_i(:,:,:) * a_i(:,:,:) |
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282 | v_s(:,:,:) = ht_s(:,:,:) * a_i(:,:,:) |
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283 | smv_i(:,:,:) = sm_i(:,:,:) * v_i(:,:,:) |
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284 | ! |
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285 | END SUBROUTINE lim_var_eqv2glo |
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286 | |
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287 | |
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288 | SUBROUTINE lim_var_salprof |
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289 | !!------------------------------------------------------------------ |
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290 | !! *** ROUTINE lim_var_salprof *** |
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291 | !! |
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292 | !! ** Purpose : computes salinity profile in function of bulk salinity |
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293 | !! |
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294 | !! ** Method : If bulk salinity greater than zsi1, |
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295 | !! the profile is assumed to be constant (S_inf) |
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296 | !! If bulk salinity lower than zsi0, |
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297 | !! the profile is linear with 0 at the surface (S_zero) |
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298 | !! If it is between zsi0 and zsi1, it is a |
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299 | !! alpha-weighted linear combination of s_inf and s_zero |
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300 | !! |
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301 | !! ** References : Vancoppenolle et al., 2007 |
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302 | !!------------------------------------------------------------------ |
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303 | INTEGER :: ji, jj, jk, jl ! dummy loop index |
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304 | REAL(wp) :: zfac0, zfac1, zsal |
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305 | REAL(wp) :: zswi0, zswi01, zargtemp , zs_zero |
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306 | REAL(wp), POINTER, DIMENSION(:,:,:) :: z_slope_s, zalpha |
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307 | REAL(wp), PARAMETER :: zsi0 = 3.5_wp |
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308 | REAL(wp), PARAMETER :: zsi1 = 4.5_wp |
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309 | !!------------------------------------------------------------------ |
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310 | |
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311 | CALL wrk_alloc( jpi, jpj, jpl, z_slope_s, zalpha ) |
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312 | |
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313 | !--------------------------------------- |
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314 | ! Vertically constant, constant in time |
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315 | !--------------------------------------- |
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316 | IF( nn_icesal == 1 ) THEN |
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317 | s_i (:,:,:,:) = rn_icesal |
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318 | sm_i(:,:,:) = rn_icesal |
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319 | ENDIF |
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320 | |
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321 | !----------------------------------- |
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322 | ! Salinity profile, varying in time |
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323 | !----------------------------------- |
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324 | IF( nn_icesal == 2 ) THEN |
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325 | ! |
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326 | DO jk = 1, nlay_i |
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327 | s_i(:,:,jk,:) = sm_i(:,:,:) |
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328 | END DO |
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329 | ! |
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330 | DO jl = 1, jpl ! Slope of the linear profile |
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331 | DO jj = 1, jpj |
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332 | DO ji = 1, jpi |
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333 | rswitch = MAX( 0._wp , SIGN( 1._wp , ht_i(ji,jj,jl) - epsi20 ) ) |
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334 | z_slope_s(ji,jj,jl) = rswitch * 2._wp * sm_i(ji,jj,jl) / MAX( epsi20 , ht_i(ji,jj,jl) ) |
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335 | END DO |
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336 | END DO |
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337 | END DO |
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338 | ! |
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339 | zfac0 = 1._wp / ( zsi0 - zsi1 ) ! Weighting factor between zs_zero and zs_inf |
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340 | zfac1 = zsi1 / ( zsi1 - zsi0 ) |
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341 | ! |
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342 | zalpha(:,:,:) = 0._wp |
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343 | DO jl = 1, jpl |
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344 | DO jj = 1, jpj |
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345 | DO ji = 1, jpi |
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346 | ! zswi0 = 1 if sm_i le zsi0 and 0 otherwise |
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347 | zswi0 = MAX( 0._wp , SIGN( 1._wp , zsi0 - sm_i(ji,jj,jl) ) ) |
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348 | ! zswi01 = 1 if sm_i is between zsi0 and zsi1 and 0 othws |
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349 | zswi01 = ( 1._wp - zswi0 ) * MAX( 0._wp , SIGN( 1._wp , zsi1 - sm_i(ji,jj,jl) ) ) |
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350 | ! If 2.sm_i GE sss_m then rswitch = 1 |
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351 | ! this is to force a constant salinity profile in the Baltic Sea |
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352 | rswitch = MAX( 0._wp , SIGN( 1._wp , 2._wp * sm_i(ji,jj,jl) - sss_m(ji,jj) ) ) |
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353 | zalpha(ji,jj,jl) = zswi0 + zswi01 * ( sm_i(ji,jj,jl) * zfac0 + zfac1 ) |
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354 | zalpha(ji,jj,jl) = zalpha(ji,jj,jl) * ( 1._wp - rswitch ) |
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355 | END DO |
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356 | END DO |
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357 | END DO |
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358 | |
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359 | ! Computation of the profile |
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360 | DO jl = 1, jpl |
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361 | DO jk = 1, nlay_i |
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362 | DO jj = 1, jpj |
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363 | DO ji = 1, jpi |
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364 | ! ! linear profile with 0 at the surface |
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365 | zs_zero = z_slope_s(ji,jj,jl) * ( REAL(jk,wp) - 0.5_wp ) * ht_i(ji,jj,jl) * r1_nlay_i |
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366 | ! ! weighting the profile |
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367 | s_i(ji,jj,jk,jl) = zalpha(ji,jj,jl) * zs_zero + ( 1._wp - zalpha(ji,jj,jl) ) * sm_i(ji,jj,jl) |
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368 | ! ! bounding salinity |
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369 | s_i(ji,jj,jk,jl) = MIN( rn_simax, MAX( s_i(ji,jj,jk,jl), rn_simin ) ) |
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370 | END DO |
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371 | END DO |
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372 | END DO |
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373 | END DO |
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374 | ! |
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375 | ENDIF ! nn_icesal |
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376 | |
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377 | !------------------------------------------------------- |
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378 | ! Vertically varying salinity profile, constant in time |
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379 | !------------------------------------------------------- |
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380 | |
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381 | IF( nn_icesal == 3 ) THEN ! Schwarzacher (1959) multiyear salinity profile (mean = 2.30) |
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382 | ! |
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383 | sm_i(:,:,:) = 2.30_wp |
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384 | ! |
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385 | DO jl = 1, jpl |
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386 | DO jk = 1, nlay_i |
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387 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) * r1_nlay_i |
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388 | zsal = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**(0.407_wp/(0.573_wp+zargtemp)) ) ) |
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389 | s_i(:,:,jk,jl) = zsal |
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390 | END DO |
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391 | END DO |
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392 | ! |
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393 | ENDIF ! nn_icesal |
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394 | ! |
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395 | CALL wrk_dealloc( jpi, jpj, jpl, z_slope_s, zalpha ) |
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396 | ! |
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397 | END SUBROUTINE lim_var_salprof |
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398 | |
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399 | |
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400 | SUBROUTINE lim_var_icetm |
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401 | !!------------------------------------------------------------------ |
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402 | !! *** ROUTINE lim_var_icetm *** |
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403 | !! |
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404 | !! ** Purpose : computes mean sea ice temperature |
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405 | !!------------------------------------------------------------------ |
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406 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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407 | !!------------------------------------------------------------------ |
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408 | |
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409 | ! Mean sea ice temperature |
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410 | vt_i (:,:) = 0._wp |
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411 | DO jl = 1, jpl |
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412 | vt_i(:,:) = vt_i(:,:) + v_i(:,:,jl) |
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413 | END DO |
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414 | |
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415 | tm_i(:,:) = 0._wp |
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416 | DO jl = 1, jpl |
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417 | DO jk = 1, nlay_i |
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418 | DO jj = 1, jpj |
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419 | DO ji = 1, jpi |
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420 | rswitch = MAX( 0._wp , SIGN( 1._wp , vt_i(ji,jj) - epsi10 ) ) |
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421 | tm_i(ji,jj) = tm_i(ji,jj) + r1_nlay_i * rswitch * ( t_i(ji,jj,jk,jl) - rt0 ) * v_i(ji,jj,jl) & |
---|
422 | & / MAX( vt_i(ji,jj) , epsi10 ) |
---|
423 | END DO |
---|
424 | END DO |
---|
425 | END DO |
---|
426 | END DO |
---|
427 | tm_i = tm_i + rt0 |
---|
428 | |
---|
429 | END SUBROUTINE lim_var_icetm |
---|
430 | |
---|
431 | |
---|
432 | SUBROUTINE lim_var_bv |
---|
433 | !!------------------------------------------------------------------ |
---|
434 | !! *** ROUTINE lim_var_bv *** |
---|
435 | !! |
---|
436 | !! ** Purpose : computes mean brine volume (%) in sea ice |
---|
437 | !! |
---|
438 | !! ** Method : e = - 0.054 * S (ppt) / T (C) |
---|
439 | !! |
---|
440 | !! References : Vancoppenolle et al., JGR, 2007 |
---|
441 | !!------------------------------------------------------------------ |
---|
442 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
---|
443 | REAL(wp) :: zbvi ! local scalars |
---|
444 | !!------------------------------------------------------------------ |
---|
445 | ! |
---|
446 | vt_i (:,:) = 0._wp |
---|
447 | DO jl = 1, jpl |
---|
448 | vt_i(:,:) = vt_i(:,:) + v_i(:,:,jl) |
---|
449 | END DO |
---|
450 | |
---|
451 | bv_i(:,:) = 0._wp |
---|
452 | DO jl = 1, jpl |
---|
453 | DO jk = 1, nlay_i |
---|
454 | DO jj = 1, jpj |
---|
455 | DO ji = 1, jpi |
---|
456 | rswitch = ( 1._wp - MAX( 0._wp , SIGN( 1._wp , (t_i(ji,jj,jk,jl) - rt0) + epsi10 ) ) ) |
---|
457 | zbvi = - rswitch * tmut * s_i(ji,jj,jk,jl) / MIN( t_i(ji,jj,jk,jl) - rt0, - epsi10 ) & |
---|
458 | & * v_i(ji,jj,jl) * r1_nlay_i |
---|
459 | rswitch = ( 1._wp - MAX( 0._wp , SIGN( 1._wp , - vt_i(ji,jj) + epsi20 ) ) ) |
---|
460 | bv_i(ji,jj) = bv_i(ji,jj) + rswitch * zbvi / MAX( vt_i(ji,jj) , epsi20 ) |
---|
461 | END DO |
---|
462 | END DO |
---|
463 | END DO |
---|
464 | END DO |
---|
465 | ! |
---|
466 | END SUBROUTINE lim_var_bv |
---|
467 | |
---|
468 | |
---|
469 | SUBROUTINE lim_var_salprof1d( kideb, kiut ) |
---|
470 | !!------------------------------------------------------------------- |
---|
471 | !! *** ROUTINE lim_thd_salprof1d *** |
---|
472 | !! |
---|
473 | !! ** Purpose : 1d computation of the sea ice salinity profile |
---|
474 | !! Works with 1d vectors and is used by thermodynamic modules |
---|
475 | !!------------------------------------------------------------------- |
---|
476 | INTEGER, INTENT(in) :: kideb, kiut ! thickness category index |
---|
477 | ! |
---|
478 | INTEGER :: ji, jk ! dummy loop indices |
---|
479 | INTEGER :: ii, ij ! local integers |
---|
480 | REAL(wp) :: zfac0, zfac1, zargtemp, zsal ! local scalars |
---|
481 | REAL(wp) :: zalpha, zswi0, zswi01, zs_zero ! - - |
---|
482 | ! |
---|
483 | REAL(wp), POINTER, DIMENSION(:) :: z_slope_s |
---|
484 | REAL(wp), PARAMETER :: zsi0 = 3.5_wp |
---|
485 | REAL(wp), PARAMETER :: zsi1 = 4.5_wp |
---|
486 | !!--------------------------------------------------------------------- |
---|
487 | |
---|
488 | CALL wrk_alloc( jpij, z_slope_s ) |
---|
489 | |
---|
490 | !--------------------------------------- |
---|
491 | ! Vertically constant, constant in time |
---|
492 | !--------------------------------------- |
---|
493 | IF( nn_icesal == 1 ) s_i_1d(:,:) = rn_icesal |
---|
494 | |
---|
495 | !------------------------------------------------------ |
---|
496 | ! Vertically varying salinity profile, varying in time |
---|
497 | !------------------------------------------------------ |
---|
498 | |
---|
499 | IF( nn_icesal == 2 ) THEN |
---|
500 | ! |
---|
501 | DO ji = kideb, kiut ! Slope of the linear profile zs_zero |
---|
502 | rswitch = MAX( 0._wp , SIGN( 1._wp , ht_i_1d(ji) - epsi20 ) ) |
---|
503 | z_slope_s(ji) = rswitch * 2._wp * sm_i_1d(ji) / MAX( epsi20 , ht_i_1d(ji) ) |
---|
504 | END DO |
---|
505 | |
---|
506 | ! Weighting factor between zs_zero and zs_inf |
---|
507 | !--------------------------------------------- |
---|
508 | zfac0 = 1._wp / ( zsi0 - zsi1 ) |
---|
509 | zfac1 = zsi1 / ( zsi1 - zsi0 ) |
---|
510 | DO jk = 1, nlay_i |
---|
511 | DO ji = kideb, kiut |
---|
512 | ii = MOD( npb(ji) - 1 , jpi ) + 1 |
---|
513 | ij = ( npb(ji) - 1 ) / jpi + 1 |
---|
514 | ! zswi0 = 1 if sm_i le zsi0 and 0 otherwise |
---|
515 | zswi0 = MAX( 0._wp , SIGN( 1._wp , zsi0 - sm_i_1d(ji) ) ) |
---|
516 | ! zswi01 = 1 if sm_i is between zsi0 and zsi1 and 0 othws |
---|
517 | zswi01 = ( 1._wp - zswi0 ) * MAX( 0._wp , SIGN( 1._wp , zsi1 - sm_i_1d(ji) ) ) |
---|
518 | ! if 2.sm_i GE sss_m then rswitch = 1 |
---|
519 | ! this is to force a constant salinity profile in the Baltic Sea |
---|
520 | rswitch = MAX( 0._wp , SIGN( 1._wp , 2._wp * sm_i_1d(ji) - sss_m(ii,ij) ) ) |
---|
521 | ! |
---|
522 | zalpha = ( zswi0 + zswi01 * ( sm_i_1d(ji) * zfac0 + zfac1 ) ) * ( 1._wp - rswitch ) |
---|
523 | ! |
---|
524 | zs_zero = z_slope_s(ji) * ( REAL(jk,wp) - 0.5_wp ) * ht_i_1d(ji) * r1_nlay_i |
---|
525 | ! weighting the profile |
---|
526 | s_i_1d(ji,jk) = zalpha * zs_zero + ( 1._wp - zalpha ) * sm_i_1d(ji) |
---|
527 | ! bounding salinity |
---|
528 | s_i_1d(ji,jk) = MIN( rn_simax, MAX( s_i_1d(ji,jk), rn_simin ) ) |
---|
529 | END DO |
---|
530 | END DO |
---|
531 | |
---|
532 | ENDIF |
---|
533 | |
---|
534 | !------------------------------------------------------- |
---|
535 | ! Vertically varying salinity profile, constant in time |
---|
536 | !------------------------------------------------------- |
---|
537 | |
---|
538 | IF( nn_icesal == 3 ) THEN ! Schwarzacher (1959) multiyear salinity profile (mean = 2.30) |
---|
539 | ! |
---|
540 | sm_i_1d(:) = 2.30_wp |
---|
541 | ! |
---|
542 | DO jk = 1, nlay_i |
---|
543 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) * r1_nlay_i |
---|
544 | zsal = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**( 0.407_wp / ( 0.573_wp + zargtemp ) ) ) ) |
---|
545 | DO ji = kideb, kiut |
---|
546 | s_i_1d(ji,jk) = zsal |
---|
547 | END DO |
---|
548 | END DO |
---|
549 | ! |
---|
550 | ENDIF |
---|
551 | ! |
---|
552 | CALL wrk_dealloc( jpij, z_slope_s ) |
---|
553 | ! |
---|
554 | END SUBROUTINE lim_var_salprof1d |
---|
555 | |
---|
556 | SUBROUTINE lim_var_zapsmall |
---|
557 | !!------------------------------------------------------------------- |
---|
558 | !! *** ROUTINE lim_var_zapsmall *** |
---|
559 | !! |
---|
560 | !! ** Purpose : Remove too small sea ice areas and correct fluxes |
---|
561 | !! |
---|
562 | !! history : LIM3.5 - 01-2014 (C. Rousset) original code |
---|
563 | !!------------------------------------------------------------------- |
---|
564 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
---|
565 | REAL(wp) :: zsal, zvi, zvs, zei, zes |
---|
566 | !!------------------------------------------------------------------- |
---|
567 | at_i (:,:) = 0._wp |
---|
568 | DO jl = 1, jpl |
---|
569 | at_i(:,:) = at_i(:,:) + a_i(:,:,jl) |
---|
570 | END DO |
---|
571 | |
---|
572 | DO jl = 1, jpl |
---|
573 | |
---|
574 | !----------------------------------------------------------------- |
---|
575 | ! Zap ice energy and use ocean heat to melt ice |
---|
576 | !----------------------------------------------------------------- |
---|
577 | DO jk = 1, nlay_i |
---|
578 | DO jj = 1 , jpj |
---|
579 | DO ji = 1 , jpi |
---|
580 | rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi10 ) ) |
---|
581 | rswitch = MAX( 0._wp , SIGN( 1._wp, at_i(ji,jj ) - epsi10 ) ) * rswitch |
---|
582 | rswitch = MAX( 0._wp , SIGN( 1._wp, v_i(ji,jj,jl) - epsi10 ) ) * rswitch |
---|
583 | rswitch = MAX( 0._wp , SIGN( 1._wp, v_i(ji,jj,jl) * rswitch & |
---|
584 | & / MAX( a_i(ji,jj,jl), epsi10 ) - epsi10 ) ) * rswitch |
---|
585 | zei = e_i(ji,jj,jk,jl) |
---|
586 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * rswitch |
---|
587 | t_i(ji,jj,jk,jl) = t_i(ji,jj,jk,jl) * rswitch + rt0 * ( 1._wp - rswitch ) |
---|
588 | ! update exchanges with ocean |
---|
589 | hfx_res(ji,jj) = hfx_res(ji,jj) + ( e_i(ji,jj,jk,jl) - zei ) * r1_rdtice ! W.m-2 <0 |
---|
590 | END DO |
---|
591 | END DO |
---|
592 | END DO |
---|
593 | |
---|
594 | DO jj = 1 , jpj |
---|
595 | DO ji = 1 , jpi |
---|
596 | rswitch = MAX( 0._wp , SIGN( 1._wp, a_i(ji,jj,jl) - epsi10 ) ) |
---|
597 | rswitch = MAX( 0._wp , SIGN( 1._wp, at_i(ji,jj ) - epsi10 ) ) * rswitch |
---|
598 | rswitch = MAX( 0._wp , SIGN( 1._wp, v_i(ji,jj,jl) - epsi10 ) ) * rswitch |
---|
599 | rswitch = MAX( 0._wp , SIGN( 1._wp, v_i(ji,jj,jl) * rswitch & |
---|
600 | & / MAX( a_i(ji,jj,jl), epsi10 ) - epsi10 ) ) * rswitch |
---|
601 | zsal = smv_i(ji,jj, jl) |
---|
602 | zvi = v_i (ji,jj, jl) |
---|
603 | zvs = v_s (ji,jj, jl) |
---|
604 | zes = e_s (ji,jj,1,jl) |
---|
605 | !----------------------------------------------------------------- |
---|
606 | ! Zap snow energy |
---|
607 | !----------------------------------------------------------------- |
---|
608 | t_s(ji,jj,1,jl) = t_s(ji,jj,1,jl) * rswitch + rt0 * ( 1._wp - rswitch ) |
---|
609 | e_s(ji,jj,1,jl) = e_s(ji,jj,1,jl) * rswitch |
---|
610 | |
---|
611 | !----------------------------------------------------------------- |
---|
612 | ! zap ice and snow volume, add water and salt to ocean |
---|
613 | !----------------------------------------------------------------- |
---|
614 | ato_i(ji,jj) = a_i (ji,jj,jl) * ( 1._wp - rswitch ) + ato_i(ji,jj) |
---|
615 | a_i (ji,jj,jl) = a_i (ji,jj,jl) * rswitch |
---|
616 | v_i (ji,jj,jl) = v_i (ji,jj,jl) * rswitch |
---|
617 | v_s (ji,jj,jl) = v_s (ji,jj,jl) * rswitch |
---|
618 | t_su (ji,jj,jl) = t_su (ji,jj,jl) * rswitch + t_bo(ji,jj) * ( 1._wp - rswitch ) |
---|
619 | oa_i (ji,jj,jl) = oa_i (ji,jj,jl) * rswitch |
---|
620 | smv_i(ji,jj,jl) = smv_i(ji,jj,jl) * rswitch |
---|
621 | |
---|
622 | ! update exchanges with ocean |
---|
623 | sfx_res(ji,jj) = sfx_res(ji,jj) - ( smv_i(ji,jj,jl) - zsal ) * rhoic * r1_rdtice |
---|
624 | wfx_res(ji,jj) = wfx_res(ji,jj) - ( v_i(ji,jj,jl) - zvi ) * rhoic * r1_rdtice |
---|
625 | wfx_snw(ji,jj) = wfx_snw(ji,jj) - ( v_s(ji,jj,jl) - zvs ) * rhosn * r1_rdtice |
---|
626 | hfx_res(ji,jj) = hfx_res(ji,jj) + ( e_s(ji,jj,1,jl) - zes ) * r1_rdtice ! W.m-2 <0 |
---|
627 | END DO |
---|
628 | END DO |
---|
629 | END DO |
---|
630 | |
---|
631 | ! to be sure that at_i is the sum of a_i(jl) |
---|
632 | at_i (:,:) = 0._wp |
---|
633 | DO jl = 1, jpl |
---|
634 | at_i(:,:) = at_i(:,:) + a_i(:,:,jl) |
---|
635 | END DO |
---|
636 | |
---|
637 | ! open water = 1 if at_i=0 |
---|
638 | DO jj = 1, jpj |
---|
639 | DO ji = 1, jpi |
---|
640 | rswitch = MAX( 0._wp , SIGN( 1._wp, - at_i(ji,jj) ) ) |
---|
641 | ato_i(ji,jj) = rswitch + (1._wp - rswitch ) * ato_i(ji,jj) |
---|
642 | END DO |
---|
643 | END DO |
---|
644 | |
---|
645 | ! |
---|
646 | END SUBROUTINE lim_var_zapsmall |
---|
647 | |
---|
648 | SUBROUTINE lim_var_itd( zhti, zhts, zai, zht_i, zht_s, za_i ) |
---|
649 | !!------------------------------------------------------------------ |
---|
650 | !! *** ROUTINE lim_var_itd *** |
---|
651 | !! |
---|
652 | !! ** Purpose : converting 1-cat ice to multiple ice categories |
---|
653 | !! |
---|
654 | !! ice thickness distribution follows a gaussian law |
---|
655 | !! around the concentration of the most likely ice thickness |
---|
656 | !! (similar as limistate.F90) |
---|
657 | !! |
---|
658 | !! ** Method: Iterative procedure |
---|
659 | !! |
---|
660 | !! 1) Try to fill the jpl ice categories (bounds hi_max(0:jpl)) with a gaussian |
---|
661 | !! |
---|
662 | !! 2) Check whether the distribution conserves area and volume, positivity and |
---|
663 | !! category boundaries |
---|
664 | !! |
---|
665 | !! 3) If not (input ice is too thin), the last category is empty and |
---|
666 | !! the number of categories is reduced (jpl-1) |
---|
667 | !! |
---|
668 | !! 4) Iterate until ok (SUM(itest(:) = 4) |
---|
669 | !! |
---|
670 | !! ** Arguments : zhti: 1-cat ice thickness |
---|
671 | !! zhts: 1-cat snow depth |
---|
672 | !! zai : 1-cat ice concentration |
---|
673 | !! |
---|
674 | !! ** Output : jpl-cat |
---|
675 | !! |
---|
676 | !! (Example of application: BDY forcings when input are cell averaged) |
---|
677 | !! |
---|
678 | !!------------------------------------------------------------------- |
---|
679 | !! History : LIM3.5 - 2012 (M. Vancoppenolle) Original code |
---|
680 | !! 2014 (C. Rousset) Rewriting |
---|
681 | !!------------------------------------------------------------------- |
---|
682 | !! Local variables |
---|
683 | INTEGER :: ji, jk, jl ! dummy loop indices |
---|
684 | INTEGER :: ijpij, i_fill, jl0 |
---|
685 | REAL(wp) :: zarg, zV, zconv, zdh |
---|
686 | REAL(wp), DIMENSION(:), INTENT(in) :: zhti, zhts, zai ! input ice/snow variables |
---|
687 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: zht_i, zht_s, za_i ! output ice/snow variables |
---|
688 | INTEGER , POINTER, DIMENSION(:) :: itest |
---|
689 | |
---|
690 | CALL wrk_alloc( 4, itest ) |
---|
691 | !-------------------------------------------------------------------- |
---|
692 | ! initialisation of variables |
---|
693 | !-------------------------------------------------------------------- |
---|
694 | ijpij = SIZE(zhti,1) |
---|
695 | zht_i(1:ijpij,1:jpl) = 0._wp |
---|
696 | zht_s(1:ijpij,1:jpl) = 0._wp |
---|
697 | za_i (1:ijpij,1:jpl) = 0._wp |
---|
698 | |
---|
699 | ! ---------------------------------------- |
---|
700 | ! distribution over the jpl ice categories |
---|
701 | ! ---------------------------------------- |
---|
702 | DO ji = 1, ijpij |
---|
703 | |
---|
704 | IF( zhti(ji) > 0._wp ) THEN |
---|
705 | |
---|
706 | ! initialisation of tests |
---|
707 | itest(:) = 0 |
---|
708 | |
---|
709 | i_fill = jpl + 1 !==================================== |
---|
710 | DO WHILE ( ( SUM( itest(:) ) /= 4 ) .AND. ( i_fill >= 2 ) ) ! iterative loop on i_fill categories |
---|
711 | ! iteration !==================================== |
---|
712 | i_fill = i_fill - 1 |
---|
713 | |
---|
714 | ! initialisation of ice variables for each try |
---|
715 | zht_i(ji,1:jpl) = 0._wp |
---|
716 | za_i (ji,1:jpl) = 0._wp |
---|
717 | |
---|
718 | ! *** case very thin ice: fill only category 1 |
---|
719 | IF ( i_fill == 1 ) THEN |
---|
720 | zht_i(ji,1) = zhti(ji) |
---|
721 | za_i (ji,1) = zai (ji) |
---|
722 | |
---|
723 | ! *** case ice is thicker: fill categories >1 |
---|
724 | ELSE |
---|
725 | |
---|
726 | ! Fill ice thicknesses except the last one (i_fill) by hmean |
---|
727 | DO jl = 1, i_fill - 1 |
---|
728 | zht_i(ji,jl) = hi_mean(jl) |
---|
729 | END DO |
---|
730 | |
---|
731 | ! find which category (jl0) the input ice thickness falls into |
---|
732 | jl0 = i_fill |
---|
733 | DO jl = 1, i_fill |
---|
734 | IF ( ( zhti(ji) >= hi_max(jl-1) ) .AND. ( zhti(ji) < hi_max(jl) ) ) THEN |
---|
735 | jl0 = jl |
---|
736 | CYCLE |
---|
737 | ENDIF |
---|
738 | END DO |
---|
739 | |
---|
740 | ! Concentrations in the (i_fill-1) categories |
---|
741 | za_i(ji,jl0) = zai(ji) / SQRT(REAL(jpl)) |
---|
742 | DO jl = 1, i_fill - 1 |
---|
743 | IF ( jl == jl0 ) CYCLE |
---|
744 | zarg = ( zht_i(ji,jl) - zhti(ji) ) / ( zhti(ji) * 0.5_wp ) |
---|
745 | za_i(ji,jl) = za_i (ji,jl0) * EXP(-zarg**2) |
---|
746 | END DO |
---|
747 | |
---|
748 | ! Concentration in the last (i_fill) category |
---|
749 | za_i(ji,i_fill) = zai(ji) - SUM( za_i(ji,1:i_fill-1) ) |
---|
750 | |
---|
751 | ! Ice thickness in the last (i_fill) category |
---|
752 | zV = SUM( za_i(ji,1:i_fill-1) * zht_i(ji,1:i_fill-1) ) |
---|
753 | zht_i(ji,i_fill) = ( zhti(ji) * zai(ji) - zV ) / za_i(ji,i_fill) |
---|
754 | |
---|
755 | ENDIF ! case ice is thick or thin |
---|
756 | |
---|
757 | !--------------------- |
---|
758 | ! Compatibility tests |
---|
759 | !--------------------- |
---|
760 | ! Test 1: area conservation |
---|
761 | zconv = ABS( zai(ji) - SUM( za_i(ji,1:jpl) ) ) |
---|
762 | IF ( zconv < epsi06 ) itest(1) = 1 |
---|
763 | |
---|
764 | ! Test 2: volume conservation |
---|
765 | zconv = ABS( zhti(ji)*zai(ji) - SUM( za_i(ji,1:jpl)*zht_i(ji,1:jpl) ) ) |
---|
766 | IF ( zconv < epsi06 ) itest(2) = 1 |
---|
767 | |
---|
768 | ! Test 3: thickness of the last category is in-bounds ? |
---|
769 | IF ( zht_i(ji,i_fill) >= hi_max(i_fill-1) ) itest(3) = 1 |
---|
770 | |
---|
771 | ! Test 4: positivity of ice concentrations |
---|
772 | itest(4) = 1 |
---|
773 | DO jl = 1, i_fill |
---|
774 | IF ( za_i(ji,jl) < 0._wp ) itest(4) = 0 |
---|
775 | END DO |
---|
776 | !============================ |
---|
777 | END DO ! end iteration on categories |
---|
778 | !============================ |
---|
779 | ENDIF ! if zhti > 0 |
---|
780 | END DO ! i loop |
---|
781 | |
---|
782 | ! ------------------------------------------------ |
---|
783 | ! Adding Snow in each category where za_i is not 0 |
---|
784 | ! ------------------------------------------------ |
---|
785 | DO jl = 1, jpl |
---|
786 | DO ji = 1, ijpij |
---|
787 | IF( za_i(ji,jl) > 0._wp ) THEN |
---|
788 | zht_s(ji,jl) = zht_i(ji,jl) * ( zhts(ji) / zhti(ji) ) |
---|
789 | ! In case snow load is in excess that would lead to transformation from snow to ice |
---|
790 | ! Then, transfer the snow excess into the ice (different from limthd_dh) |
---|
791 | zdh = MAX( 0._wp, ( rhosn * zht_s(ji,jl) + ( rhoic - rau0 ) * zht_i(ji,jl) ) * r1_rau0 ) |
---|
792 | ! recompute ht_i, ht_s avoiding out of bounds values |
---|
793 | zht_i(ji,jl) = MIN( hi_max(jl), zht_i(ji,jl) + zdh ) |
---|
794 | zht_s(ji,jl) = MAX( 0._wp, zht_s(ji,jl) - zdh * rhoic * r1_rhosn ) |
---|
795 | ENDIF |
---|
796 | ENDDO |
---|
797 | ENDDO |
---|
798 | |
---|
799 | CALL wrk_dealloc( 4, itest ) |
---|
800 | ! |
---|
801 | END SUBROUTINE lim_var_itd |
---|
802 | |
---|
803 | |
---|
804 | #else |
---|
805 | !!---------------------------------------------------------------------- |
---|
806 | !! Default option Dummy module NO LIM3 sea-ice model |
---|
807 | !!---------------------------------------------------------------------- |
---|
808 | CONTAINS |
---|
809 | SUBROUTINE lim_var_agg ! Empty routines |
---|
810 | END SUBROUTINE lim_var_agg |
---|
811 | SUBROUTINE lim_var_glo2eqv ! Empty routines |
---|
812 | END SUBROUTINE lim_var_glo2eqv |
---|
813 | SUBROUTINE lim_var_eqv2glo ! Empty routines |
---|
814 | END SUBROUTINE lim_var_eqv2glo |
---|
815 | SUBROUTINE lim_var_salprof ! Empty routines |
---|
816 | END SUBROUTINE lim_var_salprof |
---|
817 | SUBROUTINE lim_var_bv ! Emtpy routines |
---|
818 | END SUBROUTINE lim_var_bv |
---|
819 | SUBROUTINE lim_var_salprof1d ! Emtpy routines |
---|
820 | END SUBROUTINE lim_var_salprof1d |
---|
821 | SUBROUTINE lim_var_zapsmall |
---|
822 | END SUBROUTINE lim_var_zapsmall |
---|
823 | SUBROUTINE lim_var_itd |
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824 | END SUBROUTINE lim_var_itd |
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825 | #endif |
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826 | |
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827 | !!====================================================================== |
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828 | END MODULE limvar |
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