1 | MODULE limitd_th |
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2 | !!====================================================================== |
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3 | !! *** MODULE limitd_th *** |
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4 | !! Thermodynamics of ice thickness distribution |
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5 | !! computation of changes in g(h) |
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6 | !!====================================================================== |
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7 | #if defined key_lim3 |
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8 | !!---------------------------------------------------------------------- |
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9 | !! 'key_lim3' : LIM3 sea-ice model |
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10 | !!---------------------------------------------------------------------- |
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11 | !!---------------------------------------------------------------------- |
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12 | USE dom_ice |
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13 | USE par_oce ! ocean parameters |
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14 | USE dom_oce |
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15 | USE phycst ! physical constants (ocean directory) |
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16 | USE thd_ice |
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17 | USE ice |
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18 | USE par_ice |
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19 | USE limthd_lac |
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20 | USE limvar |
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21 | USE limcons |
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22 | USE prtctl ! Print control |
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23 | USE in_out_manager |
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24 | USE lib_mpp |
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25 | |
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26 | IMPLICIT NONE |
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27 | PRIVATE |
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28 | |
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29 | PUBLIC lim_itd_th ! called by ice_stp |
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30 | PUBLIC lim_itd_th_rem |
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31 | PUBLIC lim_itd_th_reb |
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32 | PUBLIC lim_itd_fitline |
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33 | PUBLIC lim_itd_shiftice |
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34 | |
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35 | REAL(wp) :: & ! constant values |
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36 | epsi20 = 1e-20 , & |
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37 | epsi13 = 1e-13 , & |
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38 | zzero = 0.e0 , & |
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39 | zone = 1.e0 |
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40 | |
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41 | !!---------------------------------------------------------------------- |
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42 | !! NEMO/LIM3 3.3 , UCL - NEMO Consortium (2010) |
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43 | !! $Id$ |
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44 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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45 | !!---------------------------------------------------------------------- |
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46 | |
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47 | |
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48 | CONTAINS |
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49 | |
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50 | SUBROUTINE lim_itd_th( kt ) |
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51 | !!------------------------------------------------------------------ |
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52 | !! *** ROUTINE lim_itd_th *** |
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53 | !! ** Purpose : |
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54 | !! This routine computes the thermodynamics of ice thickness |
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55 | !! distribution |
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56 | !! ** Method : |
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57 | !! |
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58 | !! ** Arguments : |
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59 | !! kideb , kiut : Starting and ending points on which the |
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60 | !! the computation is applied |
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61 | !! |
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62 | !! ** Inputs / Ouputs : (global commons) |
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63 | !! |
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64 | !! ** External : |
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65 | !! |
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66 | !! ** References : |
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67 | !! |
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68 | !! ** History : |
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69 | !! (12-2005) Martin Vancoppenolle |
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70 | !! |
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71 | !!------------------------------------------------------------------ |
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72 | !! * Arguments |
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73 | INTEGER, INTENT(in) :: kt |
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74 | !! * Local variables |
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75 | INTEGER :: jl, ja, & ! ice category, layers |
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76 | jm, & ! ice types dummy loop index |
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77 | jbnd1, & |
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78 | jbnd2 |
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79 | |
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80 | REAL(wp) :: & ! constant values |
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81 | zeps = 1.0e-10, & |
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82 | epsi10 = 1.0e-10 |
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83 | |
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84 | IF( kt == nit000 .AND. lwp ) THEN |
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85 | WRITE(numout,*) |
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86 | WRITE(numout,*) 'lim_itd_th : Thermodynamics of the ice thickness distribution' |
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87 | WRITE(numout,*) '~~~~~~~~~~~' |
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88 | ENDIF |
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89 | |
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90 | !------------------------------------------------------------------------------| |
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91 | ! 1) Transport of ice between thickness categories. | |
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92 | !------------------------------------------------------------------------------| |
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93 | ! Given thermodynamic growth rates, transport ice between |
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94 | ! thickness categories. |
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95 | DO jm = 1, jpm |
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96 | jbnd1 = ice_cat_bounds(jm,1) |
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97 | jbnd2 = ice_cat_bounds(jm,2) |
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98 | IF (ice_ncat_types(jm) .GT. 1 ) CALL lim_itd_th_rem( jbnd1, jbnd2, jm, kt ) |
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99 | END DO |
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100 | |
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101 | CALL lim_var_glo2eqv ! only for info |
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102 | CALL lim_var_agg(1) |
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103 | |
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104 | !------------------------------------------------------------------------------| |
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105 | ! 3) Add frazil ice growing in leads. |
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106 | !------------------------------------------------------------------------------| |
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107 | |
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108 | CALL lim_thd_lac |
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109 | CALL lim_var_glo2eqv ! only for info |
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110 | |
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111 | !---------------------------------------------------------------------------------------- |
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112 | ! 4) Computation of trend terms and get back to old values |
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113 | !---------------------------------------------------------------------------------------- |
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114 | |
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115 | !- Trend terms |
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116 | d_a_i_thd (:,:,:) = a_i(:,:,:) - old_a_i(:,:,:) |
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117 | d_v_s_thd (:,:,:) = v_s(:,:,:) - old_v_s(:,:,:) |
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118 | d_v_i_thd (:,:,:) = v_i(:,:,:) - old_v_i(:,:,:) |
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119 | d_e_s_thd(:,:,:,:) = e_s(:,:,:,:) - old_e_s(:,:,:,:) |
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120 | d_e_i_thd(:,:,:,:) = e_i(:,:,:,:) - old_e_i(:,:,:,:) |
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121 | |
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122 | d_smv_i_thd(:,:,:) = 0.0 |
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123 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) & |
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124 | d_smv_i_thd(:,:,:) = smv_i(:,:,:) - old_smv_i(:,:,:) |
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125 | |
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126 | IF(ln_ctl) THEN ! Control print |
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127 | CALL prt_ctl_info(' ') |
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128 | CALL prt_ctl_info(' - Cell values : ') |
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129 | CALL prt_ctl_info(' ~~~~~~~~~~~~~ ') |
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130 | CALL prt_ctl(tab2d_1=area , clinfo1=' lim_itd_th : cell area :') |
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131 | CALL prt_ctl(tab2d_1=at_i , clinfo1=' lim_itd_th : at_i :') |
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132 | CALL prt_ctl(tab2d_1=vt_i , clinfo1=' lim_itd_th : vt_i :') |
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133 | CALL prt_ctl(tab2d_1=vt_s , clinfo1=' lim_itd_th : vt_s :') |
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134 | DO jl = 1, jpl |
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135 | CALL prt_ctl_info(' ') |
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136 | CALL prt_ctl_info(' - Category : ', ivar1=jl) |
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137 | CALL prt_ctl_info(' ~~~~~~~~~~') |
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138 | CALL prt_ctl(tab2d_1=a_i (:,:,jl) , clinfo1= ' lim_itd_th : a_i : ') |
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139 | CALL prt_ctl(tab2d_1=ht_i (:,:,jl) , clinfo1= ' lim_itd_th : ht_i : ') |
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140 | CALL prt_ctl(tab2d_1=ht_s (:,:,jl) , clinfo1= ' lim_itd_th : ht_s : ') |
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141 | CALL prt_ctl(tab2d_1=v_i (:,:,jl) , clinfo1= ' lim_itd_th : v_i : ') |
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142 | CALL prt_ctl(tab2d_1=v_s (:,:,jl) , clinfo1= ' lim_itd_th : v_s : ') |
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143 | CALL prt_ctl(tab2d_1=e_s (:,:,1,jl) , clinfo1= ' lim_itd_th : e_s : ') |
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144 | CALL prt_ctl(tab2d_1=t_su (:,:,jl) , clinfo1= ' lim_itd_th : t_su : ') |
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145 | CALL prt_ctl(tab2d_1=t_s (:,:,1,jl) , clinfo1= ' lim_itd_th : t_snow : ') |
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146 | CALL prt_ctl(tab2d_1=sm_i (:,:,jl) , clinfo1= ' lim_itd_th : sm_i : ') |
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147 | CALL prt_ctl(tab2d_1=smv_i (:,:,jl) , clinfo1= ' lim_itd_th : smv_i : ') |
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148 | DO ja = 1, nlay_i |
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149 | CALL prt_ctl_info(' ') |
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150 | CALL prt_ctl_info(' - Layer : ', ivar1=ja) |
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151 | CALL prt_ctl_info(' ~~~~~~~') |
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152 | CALL prt_ctl(tab2d_1=t_i(:,:,ja,jl) , clinfo1= ' lim_itd_th : t_i : ') |
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153 | CALL prt_ctl(tab2d_1=e_i(:,:,ja,jl) , clinfo1= ' lim_itd_th : e_i : ') |
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154 | END DO |
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155 | END DO |
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156 | ENDIF |
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157 | |
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158 | !- Recover Old values |
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159 | a_i(:,:,:) = old_a_i (:,:,:) |
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160 | v_s(:,:,:) = old_v_s (:,:,:) |
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161 | v_i(:,:,:) = old_v_i (:,:,:) |
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162 | e_s(:,:,:,:) = old_e_s (:,:,:,:) |
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163 | e_i(:,:,:,:) = old_e_i (:,:,:,:) |
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164 | |
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165 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) & |
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166 | smv_i(:,:,:) = old_smv_i (:,:,:) |
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167 | |
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168 | END SUBROUTINE lim_itd_th |
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169 | ! |
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170 | |
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171 | SUBROUTINE lim_itd_th_rem( klbnd, kubnd, ntyp, kt ) |
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172 | !!------------------------------------------------------------------ |
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173 | !! *** ROUTINE lim_itd_th_rem *** |
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174 | !! ** Purpose : |
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175 | !! This routine computes the redistribution of ice thickness |
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176 | !! after thermodynamic growth of ice thickness |
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177 | !! |
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178 | !! ** Method : Linear remapping |
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179 | !! |
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180 | !! ** Arguments : |
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181 | !! klbnd, kubnd : Starting and ending category index on which the |
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182 | !! the computation is applied |
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183 | !! |
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184 | !! ** Inputs / Ouputs : (global commons) |
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185 | !! |
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186 | !! ** External : |
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187 | !! |
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188 | !! ** References : W.H. Lipscomb, JGR 2001 |
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189 | !! |
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190 | !! ** History : |
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191 | !! largely inspired from CICE (c) W. H. Lipscomb and E.C. Hunke |
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192 | !! |
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193 | !! (01-2006) Martin Vancoppenolle, UCL-ASTR, translation from |
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194 | !! CICE |
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195 | !! (06-2006) Adaptation to include salt, age and types |
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196 | !! (04-2007) Mass conservation checked |
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197 | !!------------------------------------------------------------------ |
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198 | !! * Arguments |
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199 | |
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200 | INTEGER , INTENT (IN) :: & |
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201 | klbnd , & ! Start thickness category index point |
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202 | kubnd , & ! End point on which the the computation is applied |
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203 | ntyp , & ! Number of the type used |
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204 | kt ! Ocean time step |
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205 | |
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206 | !! * Local variables |
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207 | INTEGER :: ji, & ! spatial dummy loop index |
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208 | jj, & ! spatial dummy loop index |
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209 | jl, & ! ice category dummy loop index |
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210 | zji, zjj, & ! dummy indices used when changing coordinates |
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211 | nd ! used for thickness categories |
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212 | |
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213 | INTEGER , DIMENSION(jpi,jpj,jpl-1) :: & |
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214 | zdonor ! donor category index |
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215 | |
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216 | REAL(wp) :: & ! constant values |
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217 | zeps = 1.0e-10 |
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218 | |
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219 | REAL(wp) :: & ! constant values for ice enthalpy |
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220 | zindb , & |
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221 | zareamin , & ! minimum tolerated area in a thickness category |
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222 | zwk1, zwk2, & ! all the following are dummy arguments |
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223 | zx1, zx2, zx3, & ! |
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224 | zetamin , & ! minimum value of eta |
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225 | zetamax , & ! maximum value of eta |
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226 | zdh0 , & ! |
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227 | zda0 , & ! |
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228 | zdamax , & ! |
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229 | zhimin |
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230 | |
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231 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: & |
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232 | zdhice , & ! ice thickness increment |
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233 | g0 , & ! coefficients for fitting the line of the ITD |
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234 | g1 , & ! coefficients for fitting the line of the ITD |
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235 | hL , & ! left boundary for the ITD for each thickness |
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236 | hR , & ! left boundary for the ITD for each thickness |
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237 | zht_i_o , & ! old ice thickness |
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238 | dummy_es |
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239 | |
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240 | REAL(wp), DIMENSION(jpi,jpj,jpl-1) :: & |
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241 | zdaice , & ! local increment of ice area |
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242 | zdvice ! local increment of ice volume |
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243 | |
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244 | REAL(wp), DIMENSION(jpi,jpj,0:jpl) :: & |
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245 | zhbnew ! new boundaries of ice categories |
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246 | |
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247 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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248 | zhb0, zhb1 ! category boundaries for thinnes categories |
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249 | |
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250 | REAL, DIMENSION(1:(jpi+1)*(jpj+1)) :: & |
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251 | zvetamin, zvetamax ! maximum values for etas |
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252 | |
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253 | INTEGER, DIMENSION(1:(jpi+1)*(jpj+1)) :: & |
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254 | nind_i , & ! compressed indices for i/j directions |
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255 | nind_j |
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256 | |
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257 | INTEGER :: & |
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258 | nbrem ! number of cells with ice to transfer |
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259 | |
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260 | LOGICAL, DIMENSION(jpi,jpj) :: & !: |
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261 | zremap_flag ! compute remapping or not ???? |
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262 | |
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263 | REAL(wp) :: & ! constant values for ice enthalpy |
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264 | zslope ! used to compute local thermodynamic "speeds" |
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265 | |
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266 | REAL (wp), DIMENSION(jpi,jpj) :: & ! |
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267 | vt_i_init, vt_i_final, & ! ice volume summed over categories |
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268 | vt_s_init, vt_s_final, & ! snow volume summed over categories |
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269 | et_i_init, et_i_final, & ! ice energy summed over categories |
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270 | et_s_init, et_s_final ! snow energy summed over categories |
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271 | |
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272 | CHARACTER (len = 15) :: fieldid |
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273 | |
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274 | !!-- End of declarations |
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275 | !!---------------------------------------------------------------------------------------------- |
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276 | zhimin = 0.1 !minimum ice thickness tolerated by the model |
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277 | zareamin = zeps !minimum area in thickness categories tolerated by the conceptors of the model |
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278 | |
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279 | !!---------------------------------------------------------------------------------------------- |
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280 | !! 0) Conservation checkand changes in each ice category |
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281 | !!---------------------------------------------------------------------------------------------- |
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282 | IF ( con_i ) THEN |
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283 | CALL lim_column_sum (jpl, v_i, vt_i_init) |
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284 | CALL lim_column_sum (jpl, v_s, vt_s_init) |
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285 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, et_i_init) |
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286 | dummy_es(:,:,:) = e_s(:,:,1,:) |
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287 | CALL lim_column_sum (jpl, dummy_es(:,:,:) , et_s_init) |
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288 | ENDIF |
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289 | |
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290 | !!---------------------------------------------------------------------------------------------- |
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291 | !! 1) Compute thickness and changes in each ice category |
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292 | !!---------------------------------------------------------------------------------------------- |
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293 | IF (kt == nit000 .AND. lwp) THEN |
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294 | WRITE(numout,*) |
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295 | WRITE(numout,*) 'lim_itd_th_rem : Remapping the ice thickness distribution' |
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296 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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297 | WRITE(numout,*) ' klbnd : ', klbnd |
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298 | WRITE(numout,*) ' kubnd : ', kubnd |
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299 | WRITE(numout,*) ' ntyp : ', ntyp |
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300 | ENDIF |
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301 | |
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302 | zdhice(:,:,:) = 0.0 |
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303 | DO jl = klbnd, kubnd |
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304 | DO jj = 1, jpj |
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305 | DO ji = 1, jpi |
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306 | zindb = 1.0-MAX(0.0,SIGN(1.0,-a_i(ji,jj,jl))) !0 if no ice and 1 if yes |
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307 | ht_i(ji,jj,jl) = v_i(ji,jj,jl) / MAX(a_i(ji,jj,jl),zeps) * zindb |
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308 | zindb = 1.0-MAX(0.0,SIGN(1.0,-old_a_i(ji,jj,jl))) !0 if no ice and 1 if yes |
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309 | zht_i_o(ji,jj,jl) = old_v_i(ji,jj,jl) / MAX(old_a_i(ji,jj,jl),zeps) * zindb |
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310 | IF (a_i(ji,jj,jl).gt.1e-6) THEN |
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311 | zdhice(ji,jj,jl) = ht_i(ji,jj,jl) - zht_i_o(ji,jj,jl) |
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312 | ENDIF |
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313 | END DO |
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314 | END DO |
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315 | END DO |
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316 | |
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317 | !----------------------------------------------------------------------------------------------- |
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318 | ! 2) Compute fractional ice area in each grid cell |
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319 | !----------------------------------------------------------------------------------------------- |
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320 | at_i(:,:) = 0.0 |
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321 | DO jl = klbnd, kubnd |
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322 | DO jj = 1, jpj |
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323 | DO ji = 1, jpi |
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324 | at_i(ji,jj) = at_i(ji,jj) + a_i(ji,jj,jl) |
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325 | END DO |
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326 | END DO |
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327 | END DO |
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328 | |
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329 | !----------------------------------------------------------------------------------------------- |
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330 | ! 3) Identify grid cells with ice |
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331 | !----------------------------------------------------------------------------------------------- |
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332 | nbrem = 0 |
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333 | DO jj = 1, jpj |
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334 | DO ji = 1, jpi |
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335 | IF ( at_i(ji,jj) .gt. zareamin ) THEN |
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336 | nbrem = nbrem + 1 |
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337 | nind_i(nbrem) = ji |
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338 | nind_j(nbrem) = jj |
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339 | zremap_flag(ji,jj) = .true. |
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340 | ELSE |
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341 | zremap_flag(ji,jj) = .false. |
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342 | ENDIF |
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343 | END DO !ji |
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344 | END DO !jj |
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345 | |
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346 | !----------------------------------------------------------------------------------------------- |
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347 | ! 4) Compute new category boundaries |
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348 | !----------------------------------------------------------------------------------------------- |
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349 | !- 4.1 Compute category boundaries |
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350 | ! Tricky trick see limitd_me.F90 |
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351 | ! will be soon removed, CT |
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352 | ! hi_max(kubnd) = 999.99 |
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353 | zhbnew(:,:,:) = 0.0 |
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354 | |
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355 | DO jl = klbnd, kubnd - 1 |
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356 | ! jl |
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357 | DO ji = 1, nbrem |
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358 | ! jl, ji |
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359 | zji = nind_i(ji) |
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360 | zjj = nind_j(ji) |
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361 | ! |
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362 | IF ( ( zht_i_o(zji,zjj,jl) .GT.zeps ) .AND. & |
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363 | ( zht_i_o(zji,zjj,jl+1).GT.zeps ) ) THEN |
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364 | !interpolate between adjacent category growth rates |
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365 | zslope = ( zdhice(zji,zjj,jl+1) - zdhice(zji,zjj,jl) ) / & |
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366 | ( zht_i_o (zji,zjj,jl+1) - zht_i_o (zji,zjj,jl) ) |
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367 | zhbnew(zji,zjj,jl) = hi_max(jl) + zdhice(zji,zjj,jl) + & |
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368 | zslope * ( hi_max(jl) - zht_i_o(zji,zjj,jl) ) |
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369 | ELSEIF (zht_i_o(zji,zjj,jl).gt.zeps) THEN |
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370 | zhbnew(zji,zjj,jl) = hi_max(jl) + zdhice(zji,zjj,jl) |
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371 | ELSEIF (zht_i_o(zji,zjj,jl+1).gt.zeps) THEN |
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372 | zhbnew(zji,zjj,jl) = hi_max(jl) + zdhice(zji,zjj,jl+1) |
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373 | ELSE |
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374 | zhbnew(zji,zjj,jl) = hi_max(jl) |
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375 | ENDIF |
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376 | ! jl, ji |
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377 | END DO !ji |
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378 | ! jl |
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379 | |
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380 | !- 4.2 Check that each zhbnew lies between adjacent values of ice thickness |
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381 | DO ji = 1, nbrem |
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382 | ! jl, ji |
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383 | zji = nind_i(ji) |
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384 | zjj = nind_j(ji) |
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385 | ! jl, ji |
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386 | IF ( ( a_i(zji,zjj,jl) .GT.zeps) .AND. & |
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387 | ( ht_i(zji,zjj,jl).GE. zhbnew(zji,zjj,jl) ) & |
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388 | ) THEN |
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389 | zremap_flag(zji,zjj) = .false. |
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390 | ELSEIF ( ( a_i(zji,zjj,jl+1) .GT. zeps ) .AND. & |
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391 | ( ht_i(zji,zjj,jl+1).LE. zhbnew(zji,zjj,jl) ) & |
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392 | ) THEN |
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393 | zremap_flag(zji,zjj) = .false. |
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394 | ENDIF |
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395 | |
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396 | !- 4.3 Check that each zhbnew does not exceed maximal values hi_max |
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397 | ! jl, ji |
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398 | IF (zhbnew(zji,zjj,jl).gt.hi_max(jl+1)) THEN |
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399 | zremap_flag(zji,zjj) = .false. |
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400 | ENDIF |
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401 | ! jl, ji |
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402 | IF (zhbnew(zji,zjj,jl).lt.hi_max(jl-1)) THEN |
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403 | zremap_flag(zji,zjj) = .false. |
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404 | ENDIF |
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405 | ! jl, ji |
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406 | END DO !ji |
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407 | ! ji |
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408 | END DO !jl |
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409 | |
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410 | !----------------------------------------------------------------------------------------------- |
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411 | ! 5) Identify cells where ITD is to be remapped |
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412 | !----------------------------------------------------------------------------------------------- |
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413 | nbrem = 0 |
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414 | DO jj = 1, jpj |
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415 | DO ji = 1, jpi |
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416 | IF ( zremap_flag(ji,jj) ) THEN |
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417 | nbrem = nbrem + 1 |
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418 | nind_i(nbrem) = ji |
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419 | nind_j(nbrem) = jj |
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420 | ENDIF |
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421 | END DO !ji |
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422 | END DO !jj |
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423 | |
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424 | !----------------------------------------------------------------------------------------------- |
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425 | ! 6) Fill arrays with lowermost / uppermost boundaries of 'new' categories |
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426 | !----------------------------------------------------------------------------------------------- |
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427 | DO jj = 1, jpj |
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428 | DO ji = 1, jpi |
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429 | zhb0(ji,jj) = hi_max_typ(0,ntyp) ! 0eme |
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430 | zhb1(ji,jj) = hi_max_typ(1,ntyp) ! 1er |
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431 | |
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432 | zhbnew(ji,jj,klbnd-1) = 0.0 |
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433 | |
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434 | IF ( a_i(ji,jj,kubnd) .GT. zeps ) THEN |
---|
435 | zhbnew(ji,jj,kubnd) = 3.0*ht_i(ji,jj,kubnd) - 2.0*zhbnew(ji,jj,kubnd-1) |
---|
436 | ELSE |
---|
437 | zhbnew(ji,jj,kubnd) = hi_max(kubnd) |
---|
438 | ENDIF |
---|
439 | |
---|
440 | IF ( zhbnew(ji,jj,kubnd) .LT. hi_max(kubnd-1) ) & |
---|
441 | zhbnew(ji,jj,kubnd) = hi_max(kubnd-1) |
---|
442 | |
---|
443 | END DO !jj |
---|
444 | END DO !jj |
---|
445 | |
---|
446 | !----------------------------------------------------------------------------------------------- |
---|
447 | ! 7) Compute g(h) |
---|
448 | !----------------------------------------------------------------------------------------------- |
---|
449 | !- 7.1 g(h) for category 1 at start of time step |
---|
450 | CALL lim_itd_fitline(klbnd, zhb0, zhb1, zht_i_o(:,:,klbnd), & |
---|
451 | g0(:,:,klbnd), g1(:,:,klbnd), hL(:,:,klbnd), & |
---|
452 | hR(:,:,klbnd), zremap_flag) |
---|
453 | |
---|
454 | !- 7.2 Area lost due to melting of thin ice (first category, klbnd) |
---|
455 | DO ji = 1, nbrem |
---|
456 | zji = nind_i(ji) |
---|
457 | zjj = nind_j(ji) |
---|
458 | |
---|
459 | !ji |
---|
460 | IF (a_i(zji,zjj,klbnd) .gt. zeps) THEN |
---|
461 | zdh0 = zdhice(zji,zjj,klbnd) !decrease of ice thickness in the lower category |
---|
462 | ! ji, a_i > zeps |
---|
463 | IF (zdh0 .lt. 0.0) THEN !remove area from category 1 |
---|
464 | ! ji, a_i > zeps; zdh0 < 0 |
---|
465 | zdh0 = MIN(-zdh0,hi_max(klbnd)) |
---|
466 | |
---|
467 | !Integrate g(1) from 0 to dh0 to estimate area melted |
---|
468 | zetamax = MIN(zdh0,hR(zji,zjj,klbnd)) - hL(zji,zjj,klbnd) |
---|
469 | IF (zetamax.gt.0.0) THEN |
---|
470 | zx1 = zetamax |
---|
471 | zx2 = 0.5 * zetamax*zetamax |
---|
472 | zda0 = g1(zji,zjj,klbnd) * zx2 + g0(zji,zjj,klbnd) * zx1 !ice area removed |
---|
473 | ! Constrain new thickness <= ht_i |
---|
474 | zdamax = a_i(zji,zjj,klbnd) * & |
---|
475 | (1.0 - ht_i(zji,zjj,klbnd)/zht_i_o(zji,zjj,klbnd)) ! zdamax > 0 |
---|
476 | !ice area lost due to melting of thin ice |
---|
477 | zda0 = MIN(zda0, zdamax) |
---|
478 | |
---|
479 | ! Remove area, conserving volume |
---|
480 | ht_i(zji,zjj,klbnd) = ht_i(zji,zjj,klbnd) & |
---|
481 | * a_i(zji,zjj,klbnd) / ( a_i(zji,zjj,klbnd) - zda0 ) |
---|
482 | a_i(zji,zjj,klbnd) = a_i(zji,zjj,klbnd) - zda0 |
---|
483 | v_i(zji,zjj,klbnd) = a_i(zji,zjj,klbnd)*ht_i(zji,zjj,klbnd) |
---|
484 | ENDIF ! zetamax > 0 |
---|
485 | ! ji, a_i > zeps |
---|
486 | |
---|
487 | ELSE ! if ice accretion |
---|
488 | ! ji, a_i > zeps; zdh0 > 0 |
---|
489 | IF ( ntyp .EQ. 1 ) zhbnew(zji,zjj,klbnd-1) = MIN(zdh0,hi_max(klbnd)) |
---|
490 | ! zhbnew was 0, and is shifted to the right to account for thin ice |
---|
491 | ! growth in openwater (F0 = f1) |
---|
492 | IF ( ntyp .NE. 1 ) zhbnew(zji,zjj,0) = 0 |
---|
493 | ! in other types there is |
---|
494 | ! no open water growth (F0 = 0) |
---|
495 | ENDIF ! zdh0 |
---|
496 | |
---|
497 | ! a_i > zeps |
---|
498 | ENDIF ! a_i > zeps |
---|
499 | |
---|
500 | END DO ! ji |
---|
501 | |
---|
502 | !- 7.3 g(h) for each thickness category |
---|
503 | DO jl = klbnd, kubnd |
---|
504 | CALL lim_itd_fitline(jl, zhbnew(:,:,jl-1), zhbnew(:,:,jl), ht_i(:,:,jl), & |
---|
505 | g0(:,:,jl), g1(:,:,jl), hL(:,:,jl), hR(:,:,jl), & |
---|
506 | zremap_flag) |
---|
507 | END DO |
---|
508 | |
---|
509 | !----------------------------------------------------------------------------------------------- |
---|
510 | ! 8) Compute area and volume to be shifted across each boundary |
---|
511 | !----------------------------------------------------------------------------------------------- |
---|
512 | |
---|
513 | DO jl = klbnd, kubnd - 1 |
---|
514 | DO jj = 1, jpj |
---|
515 | DO ji = 1, jpi |
---|
516 | zdonor(ji,jj,jl) = 0 |
---|
517 | zdaice(ji,jj,jl) = 0.0 |
---|
518 | zdvice(ji,jj,jl) = 0.0 |
---|
519 | END DO |
---|
520 | END DO |
---|
521 | |
---|
522 | DO ji = 1, nbrem |
---|
523 | zji = nind_i(ji) |
---|
524 | zjj = nind_j(ji) |
---|
525 | |
---|
526 | IF (zhbnew(zji,zjj,jl) .gt. hi_max(jl)) THEN ! transfer from jl to jl+1 |
---|
527 | |
---|
528 | ! left and right integration limits in eta space |
---|
529 | zvetamin(ji) = MAX(hi_max(jl), hL(zji,zjj,jl)) - hL(zji,zjj,jl) |
---|
530 | zvetamax(ji) = MIN(zhbnew(zji,zjj,jl), hR(zji,zjj,jl)) - hL(zji,zjj,jl) |
---|
531 | zdonor(zji,zjj,jl) = jl |
---|
532 | |
---|
533 | ELSE ! zhbnew(jl) <= hi_max(jl) ; transfer from jl+1 to jl |
---|
534 | |
---|
535 | ! left and right integration limits in eta space |
---|
536 | zvetamin(ji) = 0.0 |
---|
537 | zvetamax(ji) = MIN(hi_max(jl), hR(zji,zjj,jl+1)) - hL(zji,zjj,jl+1) |
---|
538 | zdonor(zji,zjj,jl) = jl + 1 |
---|
539 | |
---|
540 | ENDIF ! zhbnew(jl) > hi_max(jl) |
---|
541 | |
---|
542 | zetamax = MAX(zvetamax(ji), zvetamin(ji)) ! no transfer if etamax < etamin |
---|
543 | zetamin = zvetamin(ji) |
---|
544 | |
---|
545 | zx1 = zetamax - zetamin |
---|
546 | zwk1 = zetamin*zetamin |
---|
547 | zwk2 = zetamax*zetamax |
---|
548 | zx2 = 0.5 * (zwk2 - zwk1) |
---|
549 | zwk1 = zwk1 * zetamin |
---|
550 | zwk2 = zwk2 * zetamax |
---|
551 | zx3 = 1.0/3.0 * (zwk2 - zwk1) |
---|
552 | nd = zdonor(zji,zjj,jl) |
---|
553 | zdaice(zji,zjj,jl) = g1(zji,zjj,nd)*zx2 + g0(zji,zjj,nd)*zx1 |
---|
554 | zdvice(zji,zjj,jl) = g1(zji,zjj,nd)*zx3 + g0(zji,zjj,nd)*zx2 + & |
---|
555 | zdaice(zji,zjj,jl)*hL(zji,zjj,nd) |
---|
556 | |
---|
557 | END DO ! ji |
---|
558 | END DO ! jl klbnd -> kubnd - 1 |
---|
559 | |
---|
560 | !!---------------------------------------------------------------------------------------------- |
---|
561 | !! 9) Shift ice between categories |
---|
562 | !!---------------------------------------------------------------------------------------------- |
---|
563 | CALL lim_itd_shiftice ( klbnd, kubnd, zdonor, zdaice, zdvice ) |
---|
564 | |
---|
565 | !!---------------------------------------------------------------------------------------------- |
---|
566 | !! 10) Make sure ht_i >= minimum ice thickness hi_min |
---|
567 | !!---------------------------------------------------------------------------------------------- |
---|
568 | |
---|
569 | DO ji = 1, nbrem |
---|
570 | zji = nind_i(ji) |
---|
571 | zjj = nind_j(ji) |
---|
572 | IF ( ( zhimin .GT. 0.0 ) .AND. & |
---|
573 | ( ( a_i(zji,zjj,1) .GT. zeps ) .AND. ( ht_i(zji,zjj,1) .LT. zhimin ) ) & |
---|
574 | ) THEN |
---|
575 | a_i(zji,zjj,1) = a_i(zji,zjj,1) * ht_i(zji,zjj,1) / zhimin |
---|
576 | ht_i(zji,zjj,1) = zhimin |
---|
577 | v_i(zji,zjj,1) = a_i(zji,zjj,1)*ht_i(zji,zjj,1) |
---|
578 | ENDIF |
---|
579 | END DO !ji |
---|
580 | |
---|
581 | !!---------------------------------------------------------------------------------------------- |
---|
582 | !! 11) Conservation check |
---|
583 | !!---------------------------------------------------------------------------------------------- |
---|
584 | IF ( con_i ) THEN |
---|
585 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
---|
586 | fieldid = ' v_i : limitd_th ' |
---|
587 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
---|
588 | |
---|
589 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, et_i_final) |
---|
590 | fieldid = ' e_i : limitd_th ' |
---|
591 | CALL lim_cons_check (et_i_init, et_i_final, 1.0e-3, fieldid) |
---|
592 | |
---|
593 | CALL lim_column_sum (jpl, v_s, vt_s_final) |
---|
594 | fieldid = ' v_s : limitd_th ' |
---|
595 | CALL lim_cons_check (vt_s_init, vt_s_final, 1.0e-6, fieldid) |
---|
596 | |
---|
597 | dummy_es(:,:,:) = e_s(:,:,1,:) |
---|
598 | CALL lim_column_sum (jpl, dummy_es(:,:,:) , et_s_final) |
---|
599 | fieldid = ' e_s : limitd_th ' |
---|
600 | CALL lim_cons_check (et_s_init, et_s_final, 1.0e-3, fieldid) |
---|
601 | ENDIF |
---|
602 | |
---|
603 | END SUBROUTINE lim_itd_th_rem |
---|
604 | ! |
---|
605 | |
---|
606 | SUBROUTINE lim_itd_fitline(num_cat, HbL, Hbr, hice, g0, g1, hL, hR, zremap_flag ) |
---|
607 | |
---|
608 | !!------------------------------------------------------------------ |
---|
609 | !! *** ROUTINE lim_itd_fitline *** |
---|
610 | !! ** Purpose : |
---|
611 | !! fit g(h) with a line using area, volume constraints |
---|
612 | !! |
---|
613 | !! ** Method : |
---|
614 | !! Fit g(h) with a line, satisfying area and volume constraints. |
---|
615 | !! To reduce roundoff errors caused by large values of g0 and g1, |
---|
616 | !! we actually compute g(eta), where eta = h - hL, and hL is the |
---|
617 | !! left boundary. |
---|
618 | !! |
---|
619 | !! ** Arguments : |
---|
620 | !! |
---|
621 | !! ** Inputs / Ouputs : (global commons) |
---|
622 | !! |
---|
623 | !! ** External : |
---|
624 | !! |
---|
625 | !! ** References : |
---|
626 | !! |
---|
627 | !! ** History : |
---|
628 | !! authors: William H. Lipscomb, LANL, Elizabeth C. Hunke, LANL |
---|
629 | !! (01-2006) Martin Vancoppenolle |
---|
630 | !! |
---|
631 | !!------------------------------------------------------------------ |
---|
632 | !! * Arguments |
---|
633 | |
---|
634 | INTEGER, INTENT(in) :: num_cat ! category index |
---|
635 | |
---|
636 | REAL(wp), DIMENSION(jpi,jpj), INTENT(IN) :: & !: |
---|
637 | HbL, HbR ! left and right category boundaries |
---|
638 | |
---|
639 | REAL(wp), DIMENSION(jpi,jpj), INTENT(IN) :: & !: |
---|
640 | hice ! ice thickness |
---|
641 | |
---|
642 | REAL(wp), DIMENSION(jpi,jpj), INTENT(OUT) :: & !: |
---|
643 | g0, g1 , & ! coefficients in linear equation for g(eta) |
---|
644 | hL , & ! min value of range over which g(h) > 0 |
---|
645 | hR ! max value of range over which g(h) > 0 |
---|
646 | |
---|
647 | LOGICAL, DIMENSION(jpi,jpj), INTENT(IN) :: & !: |
---|
648 | zremap_flag |
---|
649 | |
---|
650 | INTEGER :: & |
---|
651 | ji,jj ! horizontal indices |
---|
652 | |
---|
653 | REAL(wp) :: & |
---|
654 | zh13 , & ! HbL + 1/3 * (HbR - HbL) |
---|
655 | zh23 , & ! HbL + 2/3 * (HbR - HbL) |
---|
656 | zdhr , & ! 1 / (hR - hL) |
---|
657 | zwk1, zwk2 , & ! temporary variables |
---|
658 | zacrith ! critical minimum concentration in an ice category |
---|
659 | |
---|
660 | REAL(wp) :: & ! constant values |
---|
661 | zeps = 1.0e-10 |
---|
662 | |
---|
663 | zacrith = 1.0e-6 |
---|
664 | !!-- End of declarations |
---|
665 | !!---------------------------------------------------------------------------------------------- |
---|
666 | |
---|
667 | DO jj = 1, jpj |
---|
668 | DO ji = 1, jpi |
---|
669 | |
---|
670 | IF ( zremap_flag(ji,jj) .AND. a_i(ji,jj,num_cat) .gt. zacrith & |
---|
671 | .AND. hice(ji,jj) .GT. 0.0 ) THEN |
---|
672 | |
---|
673 | ! Initialize hL and hR |
---|
674 | |
---|
675 | hL(ji,jj) = HbL(ji,jj) |
---|
676 | hR(ji,jj) = HbR(ji,jj) |
---|
677 | |
---|
678 | ! Change hL or hR if hice falls outside central third of range |
---|
679 | |
---|
680 | zh13 = 1.0/3.0 * (2.0*hL(ji,jj) + hR(ji,jj)) |
---|
681 | zh23 = 1.0/3.0 * (hL(ji,jj) + 2.0*hR(ji,jj)) |
---|
682 | |
---|
683 | IF (hice(ji,jj) < zh13) THEN |
---|
684 | hR(ji,jj) = 3.0*hice(ji,jj) - 2.0*hL(ji,jj) |
---|
685 | ELSEIF (hice(ji,jj) > zh23) THEN |
---|
686 | hL(ji,jj) = 3.0*hice(ji,jj) - 2.0*hR(ji,jj) |
---|
687 | ENDIF |
---|
688 | |
---|
689 | ! Compute coefficients of g(eta) = g0 + g1*eta |
---|
690 | |
---|
691 | zdhr = 1.0 / (hR(ji,jj) - hL(ji,jj)) |
---|
692 | zwk1 = 6.0 * a_i(ji,jj,num_cat) * zdhr |
---|
693 | zwk2 = (hice(ji,jj) - hL(ji,jj)) * zdhr |
---|
694 | g0(ji,jj) = zwk1 * (2.0/3.0 - zwk2) |
---|
695 | g1(ji,jj) = 2.0*zdhr * zwk1 * (zwk2 - 0.5) |
---|
696 | |
---|
697 | ELSE ! remap_flag = .false. or a_i < zeps |
---|
698 | |
---|
699 | hL(ji,jj) = 0.0 |
---|
700 | hR(ji,jj) = 0.0 |
---|
701 | g0(ji,jj) = 0.0 |
---|
702 | g1(ji,jj) = 0.0 |
---|
703 | |
---|
704 | ENDIF ! a_i > zeps |
---|
705 | |
---|
706 | END DO !ji |
---|
707 | END DO ! jj |
---|
708 | |
---|
709 | END SUBROUTINE lim_itd_fitline |
---|
710 | ! |
---|
711 | |
---|
712 | SUBROUTINE lim_itd_shiftice (klbnd, kubnd, zdonor, zdaice, zdvice) |
---|
713 | !!------------------------------------------------------------------ |
---|
714 | !! *** ROUTINE lim_itd_shiftice *** |
---|
715 | !! ** Purpose : shift ice across category boundaries, conserving everything |
---|
716 | !! ( area, volume, energy, age*vol, and mass of salt ) |
---|
717 | !! |
---|
718 | !! ** Method : |
---|
719 | !! |
---|
720 | !! ** Arguments : |
---|
721 | !! |
---|
722 | !! ** Inputs / Ouputs : (global commons) |
---|
723 | !! |
---|
724 | !! ** External : |
---|
725 | !! |
---|
726 | !! ** References : |
---|
727 | !! |
---|
728 | !! ** History : |
---|
729 | !! authors: William H. Lipscomb, LANL, Elizabeth C. Hunke, LANL |
---|
730 | !! (01-2006) Martin Vancoppenolle |
---|
731 | !! |
---|
732 | !!------------------------------------------------------------------ |
---|
733 | !! * Arguments |
---|
734 | |
---|
735 | INTEGER , INTENT (IN) :: & |
---|
736 | klbnd , & ! Start thickness category index point |
---|
737 | kubnd ! End point on which the the computation is applied |
---|
738 | |
---|
739 | INTEGER , DIMENSION(jpi,jpj,jpl-1), INTENT(IN) :: & |
---|
740 | zdonor ! donor category index |
---|
741 | |
---|
742 | REAL(wp), DIMENSION(jpi,jpj,jpl-1), INTENT(INOUT) :: & |
---|
743 | zdaice , & ! ice area transferred across boundary |
---|
744 | zdvice ! ice volume transferred across boundary |
---|
745 | |
---|
746 | INTEGER :: & |
---|
747 | ji,jj,jl, & ! horizontal indices, thickness category index |
---|
748 | jl2, & ! receiver category |
---|
749 | jl1, & ! donor category |
---|
750 | jk, & ! ice layer index |
---|
751 | zji, zjj ! indices when changing from 2D-1D is done |
---|
752 | |
---|
753 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: & |
---|
754 | zaTsfn |
---|
755 | |
---|
756 | REAL(wp), DIMENSION(jpi,jpj) :: & |
---|
757 | zworka ! temporary array used here |
---|
758 | |
---|
759 | REAL(wp) :: & |
---|
760 | zdvsnow , & ! snow volume transferred |
---|
761 | zdesnow , & ! snow energy transferred |
---|
762 | zdeice , & ! ice energy transferred |
---|
763 | zdsm_vice , & ! ice salinity times volume transferred |
---|
764 | zdo_aice , & ! ice age times volume transferred |
---|
765 | zdaTsf , & ! aicen*Tsfcn transferred |
---|
766 | zindsn , & ! snow or not |
---|
767 | zindb ! ice or not |
---|
768 | |
---|
769 | INTEGER, DIMENSION(1:(jpi+1)*(jpj+1)) :: & |
---|
770 | nind_i , & ! compressed indices for i/j directions |
---|
771 | nind_j |
---|
772 | |
---|
773 | INTEGER :: & |
---|
774 | nbrem ! number of cells with ice to transfer |
---|
775 | |
---|
776 | LOGICAL :: & |
---|
777 | zdaice_negative , & ! true if daice < -puny |
---|
778 | zdvice_negative , & ! true if dvice < -puny |
---|
779 | zdaice_greater_aicen , & ! true if daice > aicen |
---|
780 | zdvice_greater_vicen ! true if dvice > vicen |
---|
781 | |
---|
782 | REAL(wp) :: & ! constant values |
---|
783 | zeps = 1.0e-10 |
---|
784 | |
---|
785 | !!-- End of declarations |
---|
786 | |
---|
787 | !---------------------------------------------------------------------------------------------- |
---|
788 | ! 1) Define a variable equal to a_i*T_su |
---|
789 | !---------------------------------------------------------------------------------------------- |
---|
790 | |
---|
791 | DO jl = klbnd, kubnd |
---|
792 | DO jj = 1, jpj |
---|
793 | DO ji = 1, jpi |
---|
794 | zaTsfn(ji,jj,jl) = a_i(ji,jj,jl)*t_su(ji,jj,jl) |
---|
795 | END DO ! ji |
---|
796 | END DO ! jj |
---|
797 | END DO ! jl |
---|
798 | |
---|
799 | !---------------------------------------------------------------------------------------------- |
---|
800 | ! 2) Check for daice or dvice out of range, allowing for roundoff error |
---|
801 | !---------------------------------------------------------------------------------------------- |
---|
802 | ! Note: zdaice < 0 or zdvice < 0 usually happens when category jl |
---|
803 | ! has a small area, with h(n) very close to a boundary. Then |
---|
804 | ! the coefficients of g(h) are large, and the computed daice and |
---|
805 | ! dvice can be in error. If this happens, it is best to transfer |
---|
806 | ! either the entire category or nothing at all, depending on which |
---|
807 | ! side of the boundary hice(n) lies. |
---|
808 | !----------------------------------------------------------------- |
---|
809 | DO jl = klbnd, kubnd-1 |
---|
810 | |
---|
811 | zdaice_negative = .false. |
---|
812 | zdvice_negative = .false. |
---|
813 | zdaice_greater_aicen = .false. |
---|
814 | zdvice_greater_vicen = .false. |
---|
815 | |
---|
816 | DO jj = 1, jpj |
---|
817 | DO ji = 1, jpi |
---|
818 | |
---|
819 | IF (zdonor(ji,jj,jl) .GT. 0) THEN |
---|
820 | jl1 = zdonor(ji,jj,jl) |
---|
821 | |
---|
822 | IF (zdaice(ji,jj,jl) .LT. 0.0) THEN |
---|
823 | IF (zdaice(ji,jj,jl) .GT. -zeps) THEN |
---|
824 | IF ( ( jl1.EQ.jl .AND. ht_i(ji,jj,jl1) .GT. hi_max(jl) ) & |
---|
825 | .OR. & |
---|
826 | ( jl1.EQ.jl+1 .AND. ht_i(ji,jj,jl1) .LE. hi_max(jl) ) & |
---|
827 | ) THEN |
---|
828 | zdaice(ji,jj,jl) = a_i(ji,jj,jl1) ! shift entire category |
---|
829 | zdvice(ji,jj,jl) = v_i(ji,jj,jl1) |
---|
830 | ELSE |
---|
831 | zdaice(ji,jj,jl) = 0.0 ! shift no ice |
---|
832 | zdvice(ji,jj,jl) = 0.0 |
---|
833 | ENDIF |
---|
834 | ELSE |
---|
835 | zdaice_negative = .true. |
---|
836 | ENDIF |
---|
837 | ENDIF |
---|
838 | |
---|
839 | IF (zdvice(ji,jj,jl) .LT. 0.0) THEN |
---|
840 | IF (zdvice(ji,jj,jl) .GT. -zeps ) THEN |
---|
841 | IF ( ( jl1.EQ.jl .AND. ht_i(ji,jj,jl1).GT.hi_max(jl) ) & |
---|
842 | .OR. & |
---|
843 | ( jl1.EQ.jl+1 .AND. ht_i(ji,jj,jl1) .LE. hi_max(jl) ) & |
---|
844 | ) THEN |
---|
845 | zdaice(ji,jj,jl) = a_i(ji,jj,jl1) ! shift entire category |
---|
846 | zdvice(ji,jj,jl) = v_i(ji,jj,jl1) |
---|
847 | ELSE |
---|
848 | zdaice(ji,jj,jl) = 0.0 ! shift no ice |
---|
849 | zdvice(ji,jj,jl) = 0.0 |
---|
850 | ENDIF |
---|
851 | ELSE |
---|
852 | zdvice_negative = .true. |
---|
853 | ENDIF |
---|
854 | ENDIF |
---|
855 | |
---|
856 | ! If daice is close to aicen, set daice = aicen. |
---|
857 | IF (zdaice(ji,jj,jl) .GT. a_i(ji,jj,jl1) - zeps ) THEN |
---|
858 | IF (zdaice(ji,jj,jl) .LT. a_i(ji,jj,jl1)+zeps) THEN |
---|
859 | zdaice(ji,jj,jl) = a_i(ji,jj,jl1) |
---|
860 | zdvice(ji,jj,jl) = v_i(ji,jj,jl1) |
---|
861 | ELSE |
---|
862 | zdaice_greater_aicen = .true. |
---|
863 | ENDIF |
---|
864 | ENDIF |
---|
865 | |
---|
866 | IF (zdvice(ji,jj,jl) .GT. v_i(ji,jj,jl1)-zeps) THEN |
---|
867 | IF (zdvice(ji,jj,jl) .LT. v_i(ji,jj,jl1)+zeps) THEN |
---|
868 | zdaice(ji,jj,jl) = a_i(ji,jj,jl1) |
---|
869 | zdvice(ji,jj,jl) = v_i(ji,jj,jl1) |
---|
870 | ELSE |
---|
871 | zdvice_greater_vicen = .true. |
---|
872 | ENDIF |
---|
873 | ENDIF |
---|
874 | |
---|
875 | ENDIF ! donor > 0 |
---|
876 | END DO ! i |
---|
877 | END DO ! j |
---|
878 | |
---|
879 | END DO !jl |
---|
880 | |
---|
881 | !------------------------------------------------------------------------------- |
---|
882 | ! 3) Transfer volume and energy between categories |
---|
883 | !------------------------------------------------------------------------------- |
---|
884 | |
---|
885 | DO jl = klbnd, kubnd - 1 |
---|
886 | nbrem = 0 |
---|
887 | DO jj = 1, jpj |
---|
888 | DO ji = 1, jpi |
---|
889 | IF (zdaice(ji,jj,jl) .GT. 0.0 ) THEN ! daice(n) can be < puny |
---|
890 | nbrem = nbrem + 1 |
---|
891 | nind_i(nbrem) = ji |
---|
892 | nind_j(nbrem) = jj |
---|
893 | ENDIF ! tmask |
---|
894 | END DO |
---|
895 | END DO |
---|
896 | |
---|
897 | DO ji = 1, nbrem |
---|
898 | zji = nind_i(ji) |
---|
899 | zjj = nind_j(ji) |
---|
900 | |
---|
901 | jl1 = zdonor(zji,zjj,jl) |
---|
902 | zindb = MAX( 0.0 , SIGN( 1.0 , v_i(zji,zjj,jl1) - zeps ) ) |
---|
903 | zworka(zji,zjj) = zdvice(zji,zjj,jl) / MAX(v_i(zji,zjj,jl1),zeps) * zindb |
---|
904 | IF (jl1 .eq. jl) THEN |
---|
905 | jl2 = jl1+1 |
---|
906 | ELSE ! n1 = n+1 |
---|
907 | jl2 = jl |
---|
908 | ENDIF |
---|
909 | |
---|
910 | !-------------- |
---|
911 | ! Ice areas |
---|
912 | !-------------- |
---|
913 | |
---|
914 | a_i(zji,zjj,jl1) = a_i(zji,zjj,jl1) - zdaice(zji,zjj,jl) |
---|
915 | a_i(zji,zjj,jl2) = a_i(zji,zjj,jl2) + zdaice(zji,zjj,jl) |
---|
916 | |
---|
917 | !-------------- |
---|
918 | ! Ice volumes |
---|
919 | !-------------- |
---|
920 | |
---|
921 | v_i(zji,zjj,jl1) = v_i(zji,zjj,jl1) - zdvice(zji,zjj,jl) |
---|
922 | v_i(zji,zjj,jl2) = v_i(zji,zjj,jl2) + zdvice(zji,zjj,jl) |
---|
923 | |
---|
924 | !-------------- |
---|
925 | ! Snow volumes |
---|
926 | !-------------- |
---|
927 | |
---|
928 | zdvsnow = v_s(zji,zjj,jl1) * zworka(zji,zjj) |
---|
929 | v_s(zji,zjj,jl1) = v_s(zji,zjj,jl1) - zdvsnow |
---|
930 | v_s(zji,zjj,jl2) = v_s(zji,zjj,jl2) + zdvsnow |
---|
931 | |
---|
932 | !-------------------- |
---|
933 | ! Snow heat content |
---|
934 | !-------------------- |
---|
935 | |
---|
936 | zdesnow = e_s(zji,zjj,1,jl1) * zworka(zji,zjj) |
---|
937 | e_s(zji,zjj,1,jl1) = e_s(zji,zjj,1,jl1) - zdesnow |
---|
938 | e_s(zji,zjj,1,jl2) = e_s(zji,zjj,1,jl2) + zdesnow |
---|
939 | |
---|
940 | !-------------- |
---|
941 | ! Ice age |
---|
942 | !-------------- |
---|
943 | |
---|
944 | zdo_aice = oa_i(zji,zjj,jl1) * zdaice(zji,zjj,jl) |
---|
945 | oa_i(zji,zjj,jl1) = oa_i(zji,zjj,jl1) - zdo_aice |
---|
946 | oa_i(zji,zjj,jl2) = oa_i(zji,zjj,jl2) + zdo_aice |
---|
947 | |
---|
948 | !-------------- |
---|
949 | ! Ice salinity |
---|
950 | !-------------- |
---|
951 | |
---|
952 | zdsm_vice = smv_i(zji,zjj,jl1) * zworka(zji,zjj) |
---|
953 | smv_i(zji,zjj,jl1) = smv_i(zji,zjj,jl1) - zdsm_vice |
---|
954 | smv_i(zji,zjj,jl2) = smv_i(zji,zjj,jl2) + zdsm_vice |
---|
955 | |
---|
956 | !--------------------- |
---|
957 | ! Surface temperature |
---|
958 | !--------------------- |
---|
959 | |
---|
960 | zdaTsf = t_su(zji,zjj,jl1) * zdaice(zji,zjj,jl) |
---|
961 | zaTsfn(zji,zjj,jl1) = zaTsfn(zji,zjj,jl1) - zdaTsf |
---|
962 | zaTsfn(zji,zjj,jl2) = zaTsfn(zji,zjj,jl2) + zdaTsf |
---|
963 | |
---|
964 | END DO ! ji |
---|
965 | |
---|
966 | !------------------ |
---|
967 | ! Ice heat content |
---|
968 | !------------------ |
---|
969 | |
---|
970 | DO jk = 1, nlay_i |
---|
971 | !CDIR NODEP |
---|
972 | DO ji = 1, nbrem |
---|
973 | zji = nind_i(ji) |
---|
974 | zjj = nind_j(ji) |
---|
975 | |
---|
976 | jl1 = zdonor(zji,zjj,jl) |
---|
977 | IF (jl1 .EQ. jl) THEN |
---|
978 | jl2 = jl+1 |
---|
979 | ELSE ! n1 = n+1 |
---|
980 | jl2 = jl |
---|
981 | ENDIF |
---|
982 | |
---|
983 | zdeice = e_i(zji,zjj,jk,jl1) * zworka(zji,zjj) |
---|
984 | e_i(zji,zjj,jk,jl1) = e_i(zji,zjj,jk,jl1) - zdeice |
---|
985 | e_i(zji,zjj,jk,jl2) = e_i(zji,zjj,jk,jl2) + zdeice |
---|
986 | END DO ! ji |
---|
987 | END DO ! jk |
---|
988 | |
---|
989 | END DO ! boundaries, 1 to ncat-1 |
---|
990 | |
---|
991 | !----------------------------------------------------------------- |
---|
992 | ! Update ice thickness and temperature |
---|
993 | !----------------------------------------------------------------- |
---|
994 | |
---|
995 | DO jl = klbnd, kubnd |
---|
996 | DO jj = 1, jpj |
---|
997 | DO ji = 1, jpi |
---|
998 | IF ( a_i(ji,jj,jl) .GT. zeps ) THEN |
---|
999 | ht_i(ji,jj,jl) = v_i(ji,jj,jl) / a_i(ji,jj,jl) |
---|
1000 | t_su(ji,jj,jl) = zaTsfn(ji,jj,jl) / a_i(ji,jj,jl) |
---|
1001 | zindsn = 1.0 - MAX(0.0,SIGN(1.0,-v_s(ji,jj,jl))) !0 if no ice and 1 if yes |
---|
1002 | ELSE |
---|
1003 | ht_i(ji,jj,jl) = 0.0 |
---|
1004 | t_su(ji,jj,jl) = rtt |
---|
1005 | ENDIF |
---|
1006 | END DO ! ji |
---|
1007 | END DO ! jj |
---|
1008 | END DO ! jl |
---|
1009 | |
---|
1010 | END SUBROUTINE lim_itd_shiftice |
---|
1011 | ! |
---|
1012 | |
---|
1013 | SUBROUTINE lim_itd_th_reb(klbnd, kubnd, ntyp) |
---|
1014 | !!------------------------------------------------------------------ |
---|
1015 | !! *** ROUTINE lim_itd_th_reb *** |
---|
1016 | !! ** Purpose : rebin - rebins thicknesses into defined categories |
---|
1017 | !! |
---|
1018 | !! ** Method : |
---|
1019 | !! |
---|
1020 | !! ** Arguments : |
---|
1021 | !! |
---|
1022 | !! ** Inputs / Ouputs : (global commons) |
---|
1023 | !! |
---|
1024 | !! ** External : |
---|
1025 | !! |
---|
1026 | !! ** References : |
---|
1027 | !! |
---|
1028 | !! ** History : (2005) Translation from CICE |
---|
1029 | !! (2006) Adaptation to include salt, age and types |
---|
1030 | !! (2007) Mass conservation checked |
---|
1031 | !! |
---|
1032 | !! authors: William H. Lipscomb, LANL, Elizabeth C. Hunke, LANL |
---|
1033 | !! (01-2006) Martin Vancoppenolle (adaptation) |
---|
1034 | !! |
---|
1035 | !!------------------------------------------------------------------ |
---|
1036 | !! * Arguments |
---|
1037 | INTEGER , INTENT (in) :: & |
---|
1038 | klbnd , & ! Start thickness category index point |
---|
1039 | kubnd , & ! End point on which the the computation is applied |
---|
1040 | ntyp ! number of the ice type involved in the rebinning process |
---|
1041 | |
---|
1042 | INTEGER :: & |
---|
1043 | ji,jj, & ! horizontal indices |
---|
1044 | jl ! category index |
---|
1045 | |
---|
1046 | INTEGER :: & !: |
---|
1047 | zshiftflag ! = .true. if ice must be shifted |
---|
1048 | |
---|
1049 | INTEGER, DIMENSION(jpi,jpj,jpl) :: & |
---|
1050 | zdonor ! donor category index |
---|
1051 | |
---|
1052 | REAL(wp), DIMENSION(jpi, jpj, jpl) :: & |
---|
1053 | zdaice , & ! ice area transferred |
---|
1054 | zdvice ! ice volume transferred |
---|
1055 | |
---|
1056 | REAL(wp) :: & ! constant values |
---|
1057 | zeps = 1.0e-10, & |
---|
1058 | epsi10 = 1.0e-10 |
---|
1059 | |
---|
1060 | REAL (wp), DIMENSION(jpi,jpj) :: & ! |
---|
1061 | vt_i_init, vt_i_final, & ! ice volume summed over categories |
---|
1062 | vt_s_init, vt_s_final ! snow volume summed over categories |
---|
1063 | |
---|
1064 | CHARACTER (len = 15) :: fieldid |
---|
1065 | |
---|
1066 | !!-- End of declarations |
---|
1067 | !------------------------------------------------------------------------------ |
---|
1068 | |
---|
1069 | ! ! conservation check |
---|
1070 | IF ( con_i ) THEN |
---|
1071 | CALL lim_column_sum (jpl, v_i, vt_i_init) |
---|
1072 | CALL lim_column_sum (jpl, v_s, vt_s_init) |
---|
1073 | ENDIF |
---|
1074 | |
---|
1075 | ! |
---|
1076 | !------------------------------------------------------------------------------ |
---|
1077 | ! 1) Compute ice thickness. |
---|
1078 | !------------------------------------------------------------------------------ |
---|
1079 | DO jl = klbnd, kubnd |
---|
1080 | DO jj = 1, jpj |
---|
1081 | DO ji = 1, jpi |
---|
1082 | IF (a_i(ji,jj,jl) .GT. zeps) THEN |
---|
1083 | ht_i(ji,jj,jl) = v_i(ji,jj,jl) / a_i(ji,jj,jl) |
---|
1084 | ELSE |
---|
1085 | ht_i(ji,jj,jl) = 0.0 |
---|
1086 | ENDIF |
---|
1087 | END DO ! i |
---|
1088 | END DO ! j |
---|
1089 | END DO ! n |
---|
1090 | |
---|
1091 | !------------------------------------------------------------------------------ |
---|
1092 | ! 2) Make sure thickness of cat klbnd is at least hi_max_typ(klbnd) |
---|
1093 | !------------------------------------------------------------------------------ |
---|
1094 | DO jj = 1, jpj |
---|
1095 | DO ji = 1, jpi |
---|
1096 | |
---|
1097 | IF (a_i(ji,jj,klbnd) > zeps) THEN |
---|
1098 | IF (ht_i(ji,jj,klbnd) .LE. hi_max_typ(0,ntyp) .AND. hi_max_typ(0,ntyp) .GT. 0.0 ) THEN |
---|
1099 | a_i(ji,jj,klbnd) = v_i(ji,jj,klbnd) / hi_max_typ(0,ntyp) |
---|
1100 | ht_i(ji,jj,klbnd) = hi_max_typ(0,ntyp) |
---|
1101 | ENDIF |
---|
1102 | ENDIF |
---|
1103 | END DO ! i |
---|
1104 | END DO ! j |
---|
1105 | |
---|
1106 | !------------------------------------------------------------------------------ |
---|
1107 | ! 3) If a category thickness is not in bounds, shift the |
---|
1108 | ! entire area, volume, and energy to the neighboring category |
---|
1109 | !------------------------------------------------------------------------------ |
---|
1110 | !------------------------- |
---|
1111 | ! Initialize shift arrays |
---|
1112 | !------------------------- |
---|
1113 | |
---|
1114 | DO jl = klbnd, kubnd |
---|
1115 | DO jj = 1, jpj |
---|
1116 | DO ji = 1, jpi |
---|
1117 | zdonor(ji,jj,jl) = 0 |
---|
1118 | zdaice(ji,jj,jl) = 0.0 |
---|
1119 | zdvice(ji,jj,jl) = 0.0 |
---|
1120 | END DO |
---|
1121 | END DO |
---|
1122 | END DO |
---|
1123 | |
---|
1124 | !------------------------- |
---|
1125 | ! Move thin categories up |
---|
1126 | !------------------------- |
---|
1127 | |
---|
1128 | DO jl = klbnd, kubnd - 1 ! loop over category boundaries |
---|
1129 | |
---|
1130 | !--------------------------------------- |
---|
1131 | ! identify thicknesses that are too big |
---|
1132 | !--------------------------------------- |
---|
1133 | zshiftflag = 0 |
---|
1134 | |
---|
1135 | DO jj = 1, jpj |
---|
1136 | DO ji = 1, jpi |
---|
1137 | IF (a_i(ji,jj,jl) .GT. zeps .AND. ht_i(ji,jj,jl) .GT. hi_max(jl) ) THEN |
---|
1138 | zshiftflag = 1 |
---|
1139 | zdonor(ji,jj,jl) = jl |
---|
1140 | zdaice(ji,jj,jl) = a_i(ji,jj,jl) |
---|
1141 | zdvice(ji,jj,jl) = v_i(ji,jj,jl) |
---|
1142 | ENDIF |
---|
1143 | END DO ! ji |
---|
1144 | END DO ! jj |
---|
1145 | IF( lk_mpp ) CALL mpp_max(zshiftflag) |
---|
1146 | |
---|
1147 | IF ( zshiftflag == 1 ) THEN |
---|
1148 | |
---|
1149 | !------------------------------ |
---|
1150 | ! Shift ice between categories |
---|
1151 | !------------------------------ |
---|
1152 | CALL lim_itd_shiftice (klbnd, kubnd, zdonor, zdaice, zdvice) |
---|
1153 | |
---|
1154 | !------------------------ |
---|
1155 | ! Reset shift parameters |
---|
1156 | !------------------------ |
---|
1157 | DO jj = 1, jpj |
---|
1158 | DO ji = 1, jpi |
---|
1159 | zdonor(ji,jj,jl) = 0 |
---|
1160 | zdaice(ji,jj,jl) = 0.0 |
---|
1161 | zdvice(ji,jj,jl) = 0.0 |
---|
1162 | END DO |
---|
1163 | END DO |
---|
1164 | |
---|
1165 | ENDIF ! zshiftflag |
---|
1166 | |
---|
1167 | END DO ! jl |
---|
1168 | |
---|
1169 | !---------------------------- |
---|
1170 | ! Move thick categories down |
---|
1171 | !---------------------------- |
---|
1172 | |
---|
1173 | DO jl = kubnd - 1, 1, -1 ! loop over category boundaries |
---|
1174 | |
---|
1175 | !----------------------------------------- |
---|
1176 | ! Identify thicknesses that are too small |
---|
1177 | !----------------------------------------- |
---|
1178 | zshiftflag = 0 |
---|
1179 | |
---|
1180 | DO jj = 1, jpj |
---|
1181 | DO ji = 1, jpi |
---|
1182 | IF (a_i(ji,jj,jl+1) .GT. zeps .AND. & |
---|
1183 | ht_i(ji,jj,jl+1) .LE. hi_max(jl)) THEN |
---|
1184 | |
---|
1185 | zshiftflag = 1 |
---|
1186 | zdonor(ji,jj,jl) = jl + 1 |
---|
1187 | zdaice(ji,jj,jl) = a_i(ji,jj,jl+1) |
---|
1188 | zdvice(ji,jj,jl) = v_i(ji,jj,jl+1) |
---|
1189 | ENDIF |
---|
1190 | END DO ! ji |
---|
1191 | END DO ! jj |
---|
1192 | |
---|
1193 | IF(lk_mpp) CALL mpp_max(zshiftflag) |
---|
1194 | IF (zshiftflag==1) THEN |
---|
1195 | |
---|
1196 | !------------------------------ |
---|
1197 | ! Shift ice between categories |
---|
1198 | !------------------------------ |
---|
1199 | CALL lim_itd_shiftice (klbnd, kubnd, zdonor, zdaice, zdvice) |
---|
1200 | |
---|
1201 | !------------------------ |
---|
1202 | ! Reset shift parameters |
---|
1203 | !------------------------ |
---|
1204 | DO jj = 1, jpj |
---|
1205 | DO ji = 1, jpi |
---|
1206 | zdonor(ji,jj,jl) = 0 |
---|
1207 | zdaice(ji,jj,jl) = 0.0 |
---|
1208 | zdvice(ji,jj,jl) = 0.0 |
---|
1209 | END DO |
---|
1210 | END DO |
---|
1211 | |
---|
1212 | ENDIF ! zshiftflag |
---|
1213 | |
---|
1214 | END DO ! jl |
---|
1215 | |
---|
1216 | !------------------------------------------------------------------------------ |
---|
1217 | ! 4) Conservation check |
---|
1218 | !------------------------------------------------------------------------------ |
---|
1219 | |
---|
1220 | IF ( con_i ) THEN |
---|
1221 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
---|
1222 | fieldid = ' v_i : limitd_reb ' |
---|
1223 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
---|
1224 | |
---|
1225 | CALL lim_column_sum (jpl, v_s, vt_s_final) |
---|
1226 | fieldid = ' v_s : limitd_reb ' |
---|
1227 | CALL lim_cons_check (vt_s_init, vt_s_final, 1.0e-6, fieldid) |
---|
1228 | ENDIF |
---|
1229 | |
---|
1230 | END SUBROUTINE lim_itd_th_reb |
---|
1231 | |
---|
1232 | #else |
---|
1233 | !!====================================================================== |
---|
1234 | !! *** MODULE limitd_th *** |
---|
1235 | !! no sea ice model |
---|
1236 | !!====================================================================== |
---|
1237 | CONTAINS |
---|
1238 | SUBROUTINE lim_itd_th ! Empty routines |
---|
1239 | END SUBROUTINE lim_itd_th |
---|
1240 | SUBROUTINE lim_itd_th_ini |
---|
1241 | END SUBROUTINE lim_itd_th_ini |
---|
1242 | SUBROUTINE lim_itd_th_rem |
---|
1243 | END SUBROUTINE lim_itd_th_rem |
---|
1244 | SUBROUTINE lim_itd_fitline |
---|
1245 | END SUBROUTINE lim_itd_fitline |
---|
1246 | SUBROUTINE lim_itd_shiftice |
---|
1247 | END SUBROUTINE lim_itd_shiftice |
---|
1248 | SUBROUTINE lim_itd_th_reb |
---|
1249 | END SUBROUTINE lim_itd_th_reb |
---|
1250 | #endif |
---|
1251 | END MODULE limitd_th |
---|