1 | MODULE limmp |
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2 | !!====================================================================== |
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3 | !! *** MODULE limmp *** |
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4 | !! Melt ponds |
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5 | !!====================================================================== |
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6 | !! history : ! Original code by Daniela Flocco and Adrian Turner |
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7 | !! 1.0 ! 2012 (O. Lecomte) Adaptation for scientific tests (NEMO3.1) |
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8 | !! 2.0 ! 2016 (O. Lecomte, C. Rousset, M. Vancoppenolle) Implementation in NEMO3.6 |
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9 | !!---------------------------------------------------------------------- |
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10 | #if defined key_lim3 |
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11 | !!---------------------------------------------------------------------- |
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12 | !! 'key_lim3' : LIM3 sea-ice model |
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13 | !!---------------------------------------------------------------------- |
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14 | !! lim_mp_init : some initialization and namelist read |
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15 | !! lim_mp : main calling routine |
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16 | !! lim_mp_topo : main melt pond routine for the "topographic" formulation (FloccoFeltham) |
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17 | !! lim_mp_area : ??? compute melt pond fraction per category |
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18 | !! lim_mp_perm : computes permeability (should be a FUNCTION!) |
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19 | !! calc_hpond : computes melt pond depth |
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20 | !! permeability_phy : computes permeability |
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21 | |
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22 | !!---------------------------------------------------------------------- |
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23 | USE phycst ! physical constants |
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24 | USE dom_oce ! ocean space and time domain |
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25 | ! USE sbc_ice ! Surface boundary condition: ice fields |
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26 | USE ice ! LIM-3 variables |
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27 | USE lbclnk ! lateral boundary conditions - MPP exchanges |
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28 | USE lib_mpp ! MPP library |
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29 | USE wrk_nemo ! work arrays |
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30 | USE in_out_manager ! I/O manager |
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31 | USE lib_fortran ! glob_sum |
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32 | USE timing ! Timing |
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33 | ! USE limcons ! conservation tests |
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34 | ! USE limctl ! control prints |
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35 | ! USE limvar |
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36 | |
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37 | !OLI_CODE USE ice_oce, ONLY: rdt_ice, tatm_ice |
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38 | !OLI_CODE USE phycst |
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39 | !OLI_CODE USE dom_ice |
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40 | !OLI_CODE USE dom_oce |
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41 | !OLI_CODE USE sbc_oce |
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42 | !OLI_CODE USE sbc_ice |
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43 | !OLI_CODE USE par_ice |
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44 | !OLI_CODE USE par_oce |
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45 | !OLI_CODE USE ice |
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46 | !OLI_CODE USE thd_ice |
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47 | !OLI_CODE USE in_out_manager |
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48 | !OLI_CODE USE lbclnk |
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49 | !OLI_CODE USE lib_mpp |
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50 | !OLI_CODE |
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51 | !OLI_CODE IMPLICIT NONE |
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52 | !OLI_CODE PRIVATE |
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53 | !OLI_CODE |
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54 | !OLI_CODE PUBLIC lim_mp_init |
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55 | !OLI_CODE PUBLIC lim_mp |
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56 | |
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57 | IMPLICIT NONE |
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58 | PRIVATE |
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59 | |
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60 | PUBLIC lim_mp_init ! routine called by sbcice_lim.F90 |
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61 | PUBLIC lim_mp ! routine called by sbcice_lim.F90 |
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62 | |
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63 | !! * Substitutions |
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64 | # include "vectopt_loop_substitute.h90" |
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65 | !!---------------------------------------------------------------------- |
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66 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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67 | !! $Id: limdyn.F90 6994 2016-10-05 13:07:10Z clem $ |
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68 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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69 | !!---------------------------------------------------------------------- |
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70 | CONTAINS |
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71 | |
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72 | SUBROUTINE lim_mp_init |
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73 | !!------------------------------------------------------------------- |
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74 | !! *** ROUTINE lim_mp_init *** |
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75 | !! |
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76 | !! ** Purpose : Physical constants and parameters linked to melt ponds |
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77 | !! over sea ice |
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78 | !! |
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79 | !! ** Method : Read the namicemp namelist and check the melt pond |
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80 | !! parameter values called at the first timestep (nit000) |
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81 | !! |
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82 | !! ** input : Namelist namicemp |
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83 | !!------------------------------------------------------------------- |
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84 | INTEGER :: ios ! Local integer output status for namelist read |
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85 | NAMELIST/namicemp/ ln_pnd, nn_pnd_scheme, nn_pnd_cpl, rn_apnd |
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86 | !!------------------------------------------------------------------- |
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87 | |
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88 | REWIND( numnam_ice_ref ) ! Namelist namicemp in reference namelist : Melt Ponds |
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89 | READ ( numnam_ice_ref, namicemp, IOSTAT = ios, ERR = 901) |
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90 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namicemp in reference namelist', lwp ) |
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91 | |
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92 | REWIND( numnam_ice_cfg ) ! Namelist namicemp in configuration namelist : Melt Ponds |
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93 | READ ( numnam_ice_cfg, namicemp, IOSTAT = ios, ERR = 902 ) |
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94 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namicemp in configuration namelist', lwp ) |
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95 | IF(lwm) WRITE ( numoni, namicemp ) |
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96 | |
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97 | IF(lwp) THEN ! control print |
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98 | WRITE(numout,*) |
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99 | WRITE(numout,*) 'lim_mp_init : ice parameters for melt ponds' |
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100 | WRITE(numout,*) '~~~~~~~~~~~~' |
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101 | WRITE(numout,*)' Activate melt ponds ln_pnd = ', ln_pnd |
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102 | WRITE(numout,*)' Type of melt pond scheme =0 presc, =1 empirical = 2 topo nn_pnd_scheme = ', nn_pnd_scheme |
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103 | WRITE(numout,*)' Type of melt pond coupling =0 pass., =1 full, =2 rad, 3=fw nn_pnd_cpl = ', nn_pnd_cpl |
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104 | WRITE(numout,*)' Prescribed pond fraction rn_apnd = ', rn_apnd |
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105 | ENDIF |
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106 | |
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107 | IF ( ln_pnd == .FALSE. ) THEN |
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108 | WRITE(numout) ' Melt ponds are not activated ' |
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109 | WRITE(numout) ' nn_pnd_scheme, nn_pnd_cpl and rn_apnd are set to zero ' |
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110 | nn_pnd_scheme = 0 |
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111 | nn_pnd_cpl = 0 |
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112 | rn_apnd = 0._wp |
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113 | ENDIF |
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114 | ! |
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115 | END SUBROUTINE lim_mp_init |
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116 | |
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117 | |
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118 | |
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119 | SUBROUTINE lim_mp( kt ) |
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120 | !!------------------------------------------------------------------- |
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121 | !! *** ROUTINE lim_mp *** |
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122 | !! |
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123 | !! ** Purpose : change melt pond fraction |
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124 | !! |
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125 | !! ** Method : brutal force |
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126 | !! |
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127 | !! ** Action : - |
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128 | !! - |
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129 | !!------------------------------------------------------------------------------------ |
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130 | |
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131 | INTEGER, INTENT(in) :: kt ! number of iteration |
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132 | INTEGER :: ji, jj, jl ! dummy loop indices |
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133 | |
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134 | ! REAL(wp), POINTER, DIMENSION(:,:) :: zfsurf ! surface heat flux(obsolete, should be droped) |
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135 | ! |
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136 | !!------------------------------------------------------------------- |
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137 | |
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138 | IF( nn_timing == 1 ) CALL timing_start('limthd') |
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139 | |
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140 | IF( nn_timing == 1 ) CALL timing_start('lim_mp') |
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141 | |
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142 | SELECT CASE ( nn_pnd_scheme ) |
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143 | |
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144 | CASE (1) |
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145 | |
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146 | CALL lim_mp_cesm ! empirical melt ponds |
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147 | |
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148 | CASE (2) |
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149 | |
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150 | CALL lim_mp_topo (at_i, a_i, & |
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151 | & vt_i, v_i, v_s, t_i, s_i, a_ip_frac, & |
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152 | & h_ip, t_su) |
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153 | |
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154 | END SELECT |
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155 | |
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156 | ! we should probably not aggregate here since we do it in lim_var_agg |
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157 | ! before output, unless we need the total volume and faction else where |
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158 | |
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159 | ! we should also make sure a_ip and v_ip are properly updated at the end |
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160 | ! of the routine |
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161 | |
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162 | END SUBROUTINE lim_mp |
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163 | |
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164 | |
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165 | |
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166 | SUBROUTINE lim_mp_cesm |
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167 | !!------------------------------------------------------------------- |
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168 | !! *** ROUTINE lim_mp_cesm *** |
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169 | !! |
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170 | !! ** Purpose : Compute melt pond evolution |
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171 | !! |
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172 | !! ** Method : Empirical method. A fraction of meltwater is accumulated |
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173 | !! in pond volume. It is then released exponentially when |
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174 | !! surface is freezingAccumulation of meltwater and exponential release |
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175 | !! |
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176 | !! ** Tunable parameters : |
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177 | !! |
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178 | !! |
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179 | !! ** Note : Stolen from CICE for quick test of the melt pond |
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180 | !! radiation and freshwater interfaces |
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181 | !! |
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182 | !! ** References : Holland, M. M. et al (J Clim 2012) |
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183 | !! |
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184 | !!------------------------------------------------------------------- |
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185 | |
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186 | INTEGER, POINTER, DIMENSION(:) :: indxi ! compressed indices for cells with ice melting |
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187 | INTEGER, POINTER, DIMENSION(:) :: indxj ! |
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188 | |
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189 | REAL(wp), POINTER, DIMENSION(:,:) :: zwfx_mlw ! available meltwater for melt ponding |
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190 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zrfrac ! fraction of available meltwater retained for melt ponding |
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191 | |
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192 | REAL(wp), PARAMETER :: zrmin = 0.15_wp ! minimum fraction of available meltwater retained for melt ponding |
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193 | REAL(wp), PARAMETER :: zrmax = 0.70_wp ! maximum '' '' '' '' '' |
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194 | REAL(wp), PARAMETER :: zrexp = 0.01_wp ! rate constant to refreeze melt ponds |
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195 | REAL(wp), PARAMETER :: zpnd_aspect = 0.8_wp ! pond aspect ratio |
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196 | |
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197 | REAL(wp) :: zhi ! dummy ice thickness |
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198 | REAL(wp) :: zhs ! dummy snow depth |
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199 | REAL(wp) :: zTp ! reference temperature |
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200 | REAL(wp) :: zdTs ! dummy temperature difference |
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201 | REAL(wp) :: z1_rhofw ! inverse freshwater density |
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202 | REAL(wp) :: z1_zpnd_aspect ! inverse pond aspect ratio |
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203 | REAL(wp) :: zvpold ! dummy pond volume |
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204 | |
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205 | INTEGER :: ji, jj, jl, ij ! loop indices |
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206 | INTEGER :: icells ! size of dummy array |
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207 | |
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208 | !!------------------------------------------------------------------- |
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209 | |
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210 | CALL wrk_alloc( jpi*jpj, indxi, indxj) |
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211 | CALL wrk_alloc( jpi,jpj, zwfx_mlw ) |
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212 | CALL wrk_alloc( jpi,jpj,jpl, zrfrac ) |
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213 | |
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214 | z1_rhofw = 1. / rhofw |
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215 | z1_zpnd_aspect = 1. / zpnd_aspect |
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216 | zTp = -2. |
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217 | |
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218 | !------------------------------------------------------------------ |
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219 | ! Available melt water for melt ponding and corresponding fraction |
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220 | !------------------------------------------------------------------ |
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221 | |
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222 | zwfx_mlw(:,:) = wfx_sum(:,:) + wfx_snw(:,:) ! available meltwater for melt ponding |
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223 | |
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224 | zrfrac(:,:,:) = zrmin + ( zrmax - zrmin ) * a_i(:,:,:) |
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225 | |
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226 | DO jl = 1, jpl |
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227 | |
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228 | ! v_ip(:,:,jl) ! Initialize things |
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229 | ! a_ip(:,:,jl) |
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230 | ! volpn(:,:) = hpnd(:,:) * apnd(:,:) * aicen(:,:) |
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231 | |
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232 | !------------------------------------------------------------------------------ |
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233 | ! Identify grid cells where ponds should be updated (can probably be improved) |
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234 | !------------------------------------------------------------------------------ |
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235 | |
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236 | indxi(:) = 0 |
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237 | indxj(:) = 0 |
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238 | icells = 0 |
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239 | |
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240 | DO jj = 1, jpj |
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241 | DO ji = 1, jpi |
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242 | IF ( a_i(ji,jj,jl) > epsi10 ) THEN |
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243 | icells = icells + 1 |
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244 | indxi(icells) = ji |
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245 | indxj(icells) = jj |
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246 | ENDIF |
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247 | END DO ! ji |
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248 | END DO ! jj |
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249 | |
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250 | DO ij = 1, icells |
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251 | |
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252 | ji = indxi(ij) |
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253 | jj = indxj(ij) |
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254 | |
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255 | zhi = v_i(ji,jj,jl) / a_i(ji,jj,jl) |
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256 | zhs = v_s(ji,jj,jl) / a_i(ji,jj,jl) |
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257 | |
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258 | IF ( zhi < rn_himin) THEN !--- Remove ponds on thin ice if ice is too thin |
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259 | |
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260 | a_ip(ji,jj,jl) = 0._wp !--- Dump ponds |
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261 | v_ip(ji,jj,jl) = 0._wp |
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262 | a_ip_frac(ji,jj,jl) = 0._wp |
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263 | h_ip(ji,jj,jl) = 0._wp |
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264 | |
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265 | IF ( ( nn_pnd_cpl == 1 ) .OR. ( nn_pnd_cpl == 3 ) ) & !--- Give freshwater to the ocean |
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266 | wfx_pnd(ji,jj) = wfx_pnd(ji,jj) + v_ip(ji,jj,jl) |
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267 | |
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268 | |
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269 | ELSE !--- Update pond characteristics |
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270 | |
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271 | !--- Add retained melt water to melt ponds |
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272 | v_ip(ji,jj,jl) = v_ip(ji,jj,jl) + zrfrac(ji,jj,jl) * z1_rhofw * zwfx_mlw(ji,jj) * a_i(ji,jj,jl) * rdt_ice |
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273 | |
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274 | !--- Shrink pond due to refreezing |
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275 | zdTs = MAX ( zTp - t_su(ji,jj,jl) + rt0 , 0. ) |
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276 | |
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277 | zvpold = v_ip(ji,jj,jl) |
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278 | |
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279 | v_ip(ji,jj,jl) = v_ip(ji,jj,jl) * EXP( zrexp * zdTs / zTp ) |
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280 | |
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281 | !--- Dump meltwater due to refreezing ( of course this is wrong |
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282 | !--- but this parameterization is too simple ) |
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283 | IF ( ( nn_pnd_cpl == 1 ) .OR. ( nn_pnd_cpl == 3 ) ) THEN |
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284 | |
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285 | wfx_pnd(ji,jj) = wfx_pnd(ji,jj) + rhofw * ( v_ip(ji,jj,jl) - zvpold ) * r1_rdtice |
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286 | |
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287 | ENDIF |
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288 | |
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289 | a_ip_frac(ji,jj,jl) = MIN( 1._wp , SQRT( v_ip(ji,jj,jl) * z1_zpnd_aspect / a_i(ji,jj,jl) ) ) |
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290 | |
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291 | h_ip(ji,jj,jl) = zpnd_aspect * a_ip_frac(ji,jj,jl) |
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292 | |
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293 | a_ip(ji,jj,jl) = a_ip_frac(ji,jj,jl) * a_i(ji,jj,jl) |
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294 | |
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295 | !----------------------------------------------------------- |
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296 | ! Limit pond depth |
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297 | !----------------------------------------------------------- |
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298 | ! hpondn = min(hpondn, dpthhi*hi) |
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299 | |
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300 | !--- Give freshwater to the ocean ? |
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301 | |
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302 | ENDIF |
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303 | |
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304 | END DO |
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305 | |
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306 | END DO ! jpl |
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307 | |
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308 | !--- Remove retained meltwater from surface fluxes |
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309 | |
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310 | IF ( ( nn_pnd_cpl .EQ. 1 ) .OR. ( nn_pnd_cpl .EQ. 3 ) ) THEN |
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311 | |
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312 | wfx_snw(:,:) = wfx_snw(:,:) * ( 1. - zrmin - ( zrmax - zrmin ) * at_i(:,:) ) |
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313 | |
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314 | wfx_sum(:,:) = wfx_sum(:,:) * ( 1. - zrmin - ( zrmax - zrmin ) * at_i(:,:) ) |
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315 | |
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316 | ENDIF |
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317 | |
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318 | END SUBROUTINE lim_mp_cesm |
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319 | |
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320 | SUBROUTINE lim_mp_topo (aice, aicen, & |
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321 | vice, vicen, & |
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322 | vsnon, & |
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323 | ticen, salin, & |
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324 | a_ip_frac, h_ip, & |
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325 | Tsfc ) |
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326 | !!------------------------------------------------------------------- |
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327 | !! *** ROUTINE lim_mp_topo *** |
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328 | !! |
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329 | !! ** Purpose : Compute melt pond evolution based on the ice |
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330 | !! topography as inferred from the ice thickness |
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331 | !! distribution. |
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332 | !! |
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333 | !! ** Method : This code is initially based on Flocco and Feltham |
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334 | !! (2007) and Flocco et al. (2010). More to come... |
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335 | !! |
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336 | !! ** Tunable parameters : |
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337 | !! |
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338 | !! ** Note : |
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339 | !! |
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340 | !! ** References |
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341 | !! Flocco, D. and D. L. Feltham, 2007. A continuum model of melt pond |
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342 | !! evolution on Arctic sea ice. J. Geophys. Res. 112, C08016, doi: |
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343 | !! 10.1029/2006JC003836. |
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344 | !! Flocco, D., D. L. Feltham and A. K. Turner, 2010. Incorporation of |
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345 | !! a physically based melt pond scheme into the sea ice component of a |
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346 | !! climate model. J. Geophys. Res. 115, C08012, |
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347 | !! doi: 10.1029/2009JC005568. |
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348 | !! |
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349 | !!------------------------------------------------------------------- |
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350 | |
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351 | REAL (wp), DIMENSION (jpi,jpj), & |
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352 | INTENT(IN) :: & |
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353 | aice, & ! total ice area fraction |
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354 | vice ! total ice volume (m) |
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355 | |
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356 | REAL (wp), DIMENSION (jpi,jpj,jpl), & |
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357 | INTENT(IN) :: & |
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358 | aicen, & ! ice area fraction, per category |
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359 | vsnon, & ! snow volume, per category (m) |
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360 | vicen ! ice volume, per category (m) |
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361 | |
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362 | REAL (wp), DIMENSION (jpi,jpj,nlay_i,jpl), & |
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363 | INTENT(IN) :: & |
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364 | ticen, & ! ice enthalpy, per category |
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365 | salin |
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366 | |
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367 | REAL (wp), DIMENSION (jpi,jpj,jpl), & |
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368 | INTENT(INOUT) :: & |
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369 | a_ip_frac , & ! pond area fraction of ice, per ice category |
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370 | h_ip ! pond depth, per ice category (m) |
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371 | |
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372 | REAL (wp), DIMENSION (jpi,jpj,jpl), & |
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373 | INTENT(IN) :: & |
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374 | Tsfc ! snow/sea ice surface temperature |
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375 | |
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376 | ! local variables |
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377 | REAL (wp), DIMENSION (jpi,jpj,jpl) :: & |
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378 | zTsfcn, & ! ice/snow surface temperature (C) |
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379 | zvolpn, & ! pond volume per unit area, per category (m) |
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380 | zvuin ! water-equivalent volume of ice lid on melt pond ('upper ice', m) |
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381 | |
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382 | REAL (wp), DIMENSION (jpi,jpj,jpl) :: & |
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383 | zapondn,& ! pond area fraction, per category |
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384 | zhpondn ! pond depth, per category (m) |
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385 | |
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386 | REAL (wp), DIMENSION (jpi,jpj) :: & |
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387 | zvolp ! total volume of pond, per unit area of pond (m) |
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388 | |
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389 | REAL (wp) :: & |
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390 | zhi, & ! ice thickness (m) |
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391 | zdHui, & ! change in thickness of ice lid (m) |
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392 | zomega, & ! conduction |
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393 | zdTice, & ! temperature difference across ice lid (C) |
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394 | zdvice, & ! change in ice volume (m) |
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395 | zTavg, & ! mean surface temperature across categories (C) |
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396 | zTp, & ! pond freezing temperature (C) |
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397 | zdvn ! change in melt pond volume for fresh water budget |
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398 | INTEGER, DIMENSION (jpi*jpj) :: & |
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399 | indxi, indxj ! compressed indices for cells with ice melting |
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400 | |
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401 | INTEGER :: n,k,i,j,ij,icells,indxij ! loop indices |
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402 | |
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403 | INTEGER, DIMENSION (jpl) :: & |
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404 | kcells ! cells where ice lid combines with vice |
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405 | |
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406 | INTEGER, DIMENSION (jpi*jpj,jpl) :: & |
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407 | indxii, indxjj ! i,j indices for kcells loop |
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408 | |
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409 | REAL (wp), parameter :: & |
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410 | zhicemin = 0.1_wp , & ! minimum ice thickness with ponds (m) |
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411 | zTd = 0.15_wp, & ! temperature difference for freeze-up (C) |
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412 | zr1_rlfus = 1._wp / 0.334e+6 / 917._wp , & ! (J/m^3) |
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413 | zmin_volp = 1.e-4_wp, & ! minimum pond volume (m) |
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414 | z0 = 0._wp, & |
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415 | zTimelt = 0._wp, & |
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416 | z01 = 0.01_wp, & |
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417 | z25 = 0.25_wp, & |
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418 | z5 = 0.5_wp |
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419 | |
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420 | !--------------------------------------------------------------- |
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421 | ! Initialization |
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422 | !--------------------------------------------------------------- |
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423 | |
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424 | zhpondn(:,:,:) = 0._wp |
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425 | zapondn(:,:,:) = 0._wp |
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426 | indxii(:,:) = 0 |
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427 | indxjj(:,:) = 0 |
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428 | kcells(:) = 0 |
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429 | |
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430 | zvolp(:,:) = wfx_sum(:,:) + wfx_snw(:,:) + vt_ip(:,:) ! Total available melt water, to be distributed as melt ponds |
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431 | zTsfcn(:,:,:) = zTsfcn(:,:,:) - rt0 ! Convert in Celsius |
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432 | |
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433 | ! The freezing temperature for meltponds is assumed slightly below 0C, |
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434 | ! as if meltponds had a little salt in them. The salt budget is not |
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435 | ! altered for meltponds, but if it were then an actual pond freezing |
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436 | ! temperature could be computed. |
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437 | |
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438 | ! zTp = zTimelt - zTd ---> for lids |
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439 | |
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440 | !----------------------------------------------------------------- |
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441 | ! Identify grid cells with ponds |
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442 | !----------------------------------------------------------------- |
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443 | |
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444 | icells = 0 |
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445 | DO j = 1, jpj |
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446 | DO i = 1, jpi |
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447 | zhi = z0 |
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448 | IF (aice(i,j) > epsi10 ) zhi = vice(i,j)/aice(i,j) |
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449 | IF ( aice(i,j) > z01 .and. zhi > zhicemin .and. & |
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450 | zvolp(i,j) > zmin_volp*aice(i,j)) THEN |
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451 | icells = icells + 1 |
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452 | indxi(icells) = i |
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453 | indxj(icells) = j |
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454 | ELSE ! remove ponds on thin ice |
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455 | !fpond(i,j) = fpond(i,j) - zvolp(i,j) |
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456 | zvolpn(i,j,:) = z0 |
---|
457 | zvuin (i,j,:) = z0 |
---|
458 | zvolp (i,j) = z0 |
---|
459 | END IF |
---|
460 | END DO ! i |
---|
461 | END DO ! j |
---|
462 | |
---|
463 | DO ij = 1, icells |
---|
464 | i = indxi(ij) |
---|
465 | j = indxj(ij) |
---|
466 | |
---|
467 | !-------------------------------------------------------------- |
---|
468 | ! calculate pond area and depth |
---|
469 | !-------------------------------------------------------------- |
---|
470 | CALL lim_mp_area(aice(i,j),vice(i,j), & |
---|
471 | aicen(i,j,:), vicen(i,j,:), vsnon(i,j,:), & |
---|
472 | ticen(i,j,:,:), salin(i,j,:,:), & |
---|
473 | zvolpn(i,j,:), zvolp(i,j), & |
---|
474 | zapondn(i,j,:),zhpondn(i,j,:), zdvn) |
---|
475 | ! outputs are |
---|
476 | ! - zdvn |
---|
477 | ! - zvolpn |
---|
478 | ! - zvolp |
---|
479 | ! - zapondn |
---|
480 | ! - zhpondn |
---|
481 | |
---|
482 | wfx_pnd(i,j) = wfx_pnd(i,j) + zdvn ! update flux from ponds to ocean |
---|
483 | |
---|
484 | ! mean surface temperature MV - why do we need that ? --> for the lid |
---|
485 | |
---|
486 | ! zTavg = z0 |
---|
487 | ! DO n = 1, jpl |
---|
488 | ! zTavg = zTavg + zTsfcn(i,j,n)*aicen(i,j,n) |
---|
489 | ! END DO |
---|
490 | ! zTavg = zTavg / aice(i,j) |
---|
491 | |
---|
492 | END DO ! ij |
---|
493 | |
---|
494 | !--------------------------------------------------------------- |
---|
495 | ! Update pond volume and fraction |
---|
496 | !--------------------------------------------------------------- |
---|
497 | |
---|
498 | a_ip(:,:,:) = zapondn(:,:,:) |
---|
499 | v_ip(:,:,:) = zapondn(:,:,:) * zhpondn(:,:,:) |
---|
500 | a_ip_frac(:,:,:) = 0._wp |
---|
501 | h_ip (:,:,:) = 0._wp |
---|
502 | |
---|
503 | END SUBROUTINE lim_mp_topo |
---|
504 | |
---|
505 | SUBROUTINE lim_mp_area(aice,vice, & |
---|
506 | aicen, vicen, vsnon, ticen, & |
---|
507 | salin, zvolpn, zvolp, & |
---|
508 | zapondn,zhpondn,dvolp) |
---|
509 | |
---|
510 | !!------------------------------------------------------------------- |
---|
511 | !! *** ROUTINE lim_mp_area *** |
---|
512 | !! |
---|
513 | !! ** Purpose : Given the total volume of meltwater, update |
---|
514 | !! pond fraction (a_ip) and depth (should be volume) |
---|
515 | !! |
---|
516 | !! ** |
---|
517 | !! |
---|
518 | !!------------------------------------------------------------------ |
---|
519 | |
---|
520 | REAL (wp), INTENT(IN) :: & |
---|
521 | aice,vice |
---|
522 | |
---|
523 | REAL (wp), DIMENSION(jpl), INTENT(IN) :: & |
---|
524 | aicen, vicen, vsnon |
---|
525 | |
---|
526 | REAL (wp), DIMENSION(nlay_i,jpl), INTENT(IN) :: & |
---|
527 | ticen, salin |
---|
528 | |
---|
529 | REAL (wp), DIMENSION(jpl), INTENT(INOUT) :: & |
---|
530 | zvolpn |
---|
531 | |
---|
532 | REAL (wp), INTENT(INOUT) :: & |
---|
533 | zvolp, dvolp |
---|
534 | |
---|
535 | REAL (wp), DIMENSION(jpl), INTENT(OUT) :: & |
---|
536 | zapondn, zhpondn |
---|
537 | |
---|
538 | INTEGER :: & |
---|
539 | n, ns, & |
---|
540 | m_index, & |
---|
541 | permflag |
---|
542 | |
---|
543 | REAL (wp), DIMENSION(jpl) :: & |
---|
544 | hicen, & |
---|
545 | hsnon, & |
---|
546 | asnon, & |
---|
547 | alfan, & |
---|
548 | betan, & |
---|
549 | cum_max_vol, & |
---|
550 | reduced_aicen |
---|
551 | |
---|
552 | REAL (wp), DIMENSION(0:jpl) :: & |
---|
553 | cum_max_vol_tmp |
---|
554 | |
---|
555 | REAL (wp) :: & |
---|
556 | hpond, & |
---|
557 | drain, & |
---|
558 | floe_weight, & |
---|
559 | pressure_head, & |
---|
560 | hsl_rel, & |
---|
561 | deltah, & |
---|
562 | perm, & |
---|
563 | msno |
---|
564 | |
---|
565 | REAL (wp), parameter :: & |
---|
566 | viscosity = 1.79e-3_wp, & ! kinematic water viscosity in kg/m/s |
---|
567 | z0 = 0.0_wp , & |
---|
568 | c1 = 1.0_wp , & |
---|
569 | p4 = 0.4_wp , & |
---|
570 | p6 = 0.6_wp , & |
---|
571 | epsi10 = 1.0e-11_wp |
---|
572 | |
---|
573 | !-----------| |
---|
574 | ! | |
---|
575 | ! |-----------| |
---|
576 | !___________|___________|______________________________________sea-level |
---|
577 | ! | | |
---|
578 | ! | |---^--------| |
---|
579 | ! | | | | |
---|
580 | ! | | | |-----------| |------- |
---|
581 | ! | | |alfan(n)| | | |
---|
582 | ! | | | | |--------------| |
---|
583 | ! | | | | | | |
---|
584 | !---------------------------v------------------------------------------- |
---|
585 | ! | | ^ | | | |
---|
586 | ! | | | | |--------------| |
---|
587 | ! | | |betan(n)| | | |
---|
588 | ! | | | |-----------| |------- |
---|
589 | ! | | | | |
---|
590 | ! | |---v------- | |
---|
591 | ! | | |
---|
592 | ! |-----------| |
---|
593 | ! | |
---|
594 | !-----------| |
---|
595 | |
---|
596 | !------------------------------------------------------------------- |
---|
597 | ! initialize |
---|
598 | !------------------------------------------------------------------- |
---|
599 | |
---|
600 | DO n = 1, jpl |
---|
601 | |
---|
602 | zapondn(n) = z0 |
---|
603 | zhpondn(n) = z0 |
---|
604 | |
---|
605 | !---------------------------------------- |
---|
606 | ! X) compute the effective snow fraction |
---|
607 | !---------------------------------------- |
---|
608 | IF (aicen(n) < epsi10) THEN |
---|
609 | hicen(n) = z0 |
---|
610 | hsnon(n) = z0 |
---|
611 | reduced_aicen(n) = z0 |
---|
612 | ELSE |
---|
613 | hicen(n) = vicen(n) / aicen(n) |
---|
614 | hsnon(n) = vsnon(n) / aicen(n) |
---|
615 | reduced_aicen(n) = c1 ! n=jpl |
---|
616 | IF (n < jpl) reduced_aicen(n) = aicen(n) & |
---|
617 | * (-0.024_wp*hicen(n) + 0.832_wp) |
---|
618 | asnon(n) = reduced_aicen(n) ! effective snow fraction (empirical) |
---|
619 | ! MV should check whether this makes sense to have the same effective snow fraction in here |
---|
620 | END IF |
---|
621 | |
---|
622 | ! This choice for alfa and beta ignores hydrostatic equilibium of categories. |
---|
623 | ! Hydrostatic equilibium of the entire ITD is accounted for below, assuming |
---|
624 | ! a surface topography implied by alfa=0.6 and beta=0.4, and rigidity across all |
---|
625 | ! categories. alfa and beta partition the ITD - they are areas not thicknesses! |
---|
626 | ! Multiplying by hicen, alfan and betan (below) are thus volumes per unit area. |
---|
627 | ! Here, alfa = 60% of the ice area (and since hice is constant in a category, |
---|
628 | ! alfan = 60% of the ice volume) in each category lies above the reference line, |
---|
629 | ! and 40% below. Note: p6 is an arbitrary choice, but alfa+beta=1 is required. |
---|
630 | |
---|
631 | ! MV: |
---|
632 | ! Note that this choice is not in the original FF07 paper and has been adopted in CICE |
---|
633 | ! No reason why is explained in the doc, but I guess there is a reason. I'll try to investigate, maybe |
---|
634 | |
---|
635 | ! Where does that choice come from |
---|
636 | |
---|
637 | alfan(n) = 0.6 * hicen(n) |
---|
638 | betan(n) = 0.4 * hicen(n) |
---|
639 | |
---|
640 | cum_max_vol(n) = z0 |
---|
641 | cum_max_vol_tmp(n) = z0 |
---|
642 | |
---|
643 | END DO ! jpl |
---|
644 | |
---|
645 | cum_max_vol_tmp(0) = z0 |
---|
646 | drain = z0 |
---|
647 | dvolp = z0 |
---|
648 | |
---|
649 | !---------------------------------------------------------- |
---|
650 | ! x) Drain overflow water, update pond fraction and volume |
---|
651 | !---------------------------------------------------------- |
---|
652 | |
---|
653 | !-------------------------------------------------------------------------- |
---|
654 | ! the maximum amount of water that can be contained up to each ice category |
---|
655 | !-------------------------------------------------------------------------- |
---|
656 | |
---|
657 | ! MV |
---|
658 | ! If melt ponds are too deep to be sustainable given the ITD (OVERFLOW) |
---|
659 | ! Then the excess volume cum_max_vol(jl) drains out of the system |
---|
660 | ! It should be added to wfx_pnd |
---|
661 | ! END MV |
---|
662 | |
---|
663 | DO n = 1, jpl-1 ! last category can not hold any volume |
---|
664 | |
---|
665 | IF (alfan(n+1) >= alfan(n) .and. alfan(n+1) > z0) THEN |
---|
666 | |
---|
667 | ! total volume in level including snow |
---|
668 | cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1) + & |
---|
669 | (alfan(n+1) - alfan(n)) * sum(reduced_aicen(1:n)) |
---|
670 | |
---|
671 | ! subtract snow solid volumes from lower categories in current level |
---|
672 | DO ns = 1, n |
---|
673 | cum_max_vol_tmp(n) = cum_max_vol_tmp(n) & |
---|
674 | - rhosn/rhofw * & ! free air fraction that can be filled by water |
---|
675 | asnon(ns) * & ! effective areal fraction of snow in that category |
---|
676 | max(min(hsnon(ns)+alfan(ns)-alfan(n), alfan(n+1)- & |
---|
677 | alfan(n)), z0) |
---|
678 | END DO |
---|
679 | |
---|
680 | ELSE ! assume higher categories unoccupied |
---|
681 | cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1) |
---|
682 | END IF |
---|
683 | !IF (cum_max_vol_tmp(n) < z0) THEN |
---|
684 | ! call abort_ice('negative melt pond volume') |
---|
685 | !END IF |
---|
686 | END DO |
---|
687 | cum_max_vol_tmp(jpl) = cum_max_vol_tmp(jpl-1) ! last category holds no volume |
---|
688 | cum_max_vol (1:jpl) = cum_max_vol_tmp(1:jpl) |
---|
689 | |
---|
690 | !---------------------------------------------------------------- |
---|
691 | ! is there more meltwater than can be held in the floe? |
---|
692 | !---------------------------------------------------------------- |
---|
693 | IF (zvolp >= cum_max_vol(jpl)) THEN |
---|
694 | drain = zvolp - cum_max_vol(jpl) + epsi10 |
---|
695 | zvolp = zvolp - drain ! update meltwater volume available |
---|
696 | dvolp = drain ! this is the drained water |
---|
697 | IF (zvolp < epsi10) THEN |
---|
698 | dvolp = dvolp + zvolp |
---|
699 | zvolp = z0 |
---|
700 | END IF |
---|
701 | END IF |
---|
702 | |
---|
703 | ! height and area corresponding to the remaining volume |
---|
704 | |
---|
705 | ! call calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, & |
---|
706 | ! zvolp, cum_max_vol, hpond, m_index) |
---|
707 | |
---|
708 | DO n=1, m_index |
---|
709 | zhpondn(n) = hpond - alfan(n) + alfan(1) ! here oui choulde update |
---|
710 | ! volume instead, no ? |
---|
711 | zapondn(n) = reduced_aicen(n) |
---|
712 | ! in practise, pond fraction depends on the empirical snow fraction |
---|
713 | ! so in turn on ice thickness |
---|
714 | END DO |
---|
715 | |
---|
716 | !------------------------------------------------------------------------ |
---|
717 | ! Drainage through brine network (permeability) |
---|
718 | !------------------------------------------------------------------------ |
---|
719 | !!! drainage due to ice permeability - Darcy's law |
---|
720 | |
---|
721 | ! sea water level |
---|
722 | msno = z0 |
---|
723 | DO n=1,jpl |
---|
724 | msno = msno + vsnon(n) * rhosn |
---|
725 | END DO |
---|
726 | floe_weight = (msno + rhoic*vice + rau0*zvolp) / aice |
---|
727 | hsl_rel = floe_weight / rau0 & |
---|
728 | - ((sum(betan(:)*aicen(:))/aice) + alfan(1)) |
---|
729 | |
---|
730 | deltah = hpond - hsl_rel |
---|
731 | pressure_head = grav * rau0 * max(deltah, z0) |
---|
732 | |
---|
733 | ! drain IF ice is permeable |
---|
734 | permflag = 0 |
---|
735 | IF (pressure_head > z0) THEN |
---|
736 | DO n = 1, jpl-1 |
---|
737 | IF (hicen(n) /= z0) THEN |
---|
738 | perm = 0. ! MV ugly dummy patch |
---|
739 | CALL lim_mp_perm(ticen(:,n), salin(:,n), vicen(n), perm) |
---|
740 | IF (perm > z0) permflag = 1 |
---|
741 | |
---|
742 | drain = perm*zapondn(n)*pressure_head*rdt_ice / & |
---|
743 | (viscosity*hicen(n)) |
---|
744 | dvolp = dvolp + min(drain, zvolp) |
---|
745 | zvolp = max(zvolp - drain, z0) |
---|
746 | IF (zvolp < epsi10) THEN |
---|
747 | dvolp = dvolp + zvolp |
---|
748 | zvolp = z0 |
---|
749 | END IF |
---|
750 | END IF |
---|
751 | END DO |
---|
752 | |
---|
753 | ! adjust melt pond DIMENSIONs |
---|
754 | IF (permflag > 0) THEN |
---|
755 | ! recompute pond depth |
---|
756 | ! CALL calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, & |
---|
757 | ! zvolp, cum_max_vol, hpond, m_index) |
---|
758 | DO n=1, m_index |
---|
759 | zhpondn(n) = hpond - alfan(n) + alfan(1) |
---|
760 | zapondn(n) = reduced_aicen(n) |
---|
761 | END DO |
---|
762 | END IF |
---|
763 | END IF ! pressure_head |
---|
764 | |
---|
765 | !------------------------------- |
---|
766 | ! X) remove water from the snow |
---|
767 | !------------------------------- |
---|
768 | !------------------------------------------------------------------------ |
---|
769 | ! total melt pond volume in category DOes not include snow volume |
---|
770 | ! snow in melt ponds is not melted |
---|
771 | !------------------------------------------------------------------------ |
---|
772 | |
---|
773 | ! Calculate pond volume for lower categories |
---|
774 | DO n=1,m_index-1 |
---|
775 | zvolpn(n) = zapondn(n) * zhpondn(n) & ! what is not in the snow |
---|
776 | - (rhosn/rhofw) * asnon(n) * min(hsnon(n), zhpondn(n)) |
---|
777 | END DO |
---|
778 | |
---|
779 | ! Calculate pond volume for highest category = remaining pond volume |
---|
780 | |
---|
781 | ! The following is completely unclear to Martin at least |
---|
782 | ! Could we redefine properly and recode in a more readable way ? |
---|
783 | |
---|
784 | ! m_index = last category with melt pond |
---|
785 | |
---|
786 | IF (m_index == 1) zvolpn(m_index) = zvolp ! volume of mw in 1st category is the total volume of melt water |
---|
787 | |
---|
788 | IF (m_index > 1) THEN |
---|
789 | IF (zvolp > sum(zvolpn(1:m_index-1))) THEN |
---|
790 | zvolpn(m_index) = zvolp - sum(zvolpn(1:m_index-1)) ! |
---|
791 | ELSE |
---|
792 | zvolpn(m_index) = z0 |
---|
793 | zhpondn(m_index) = z0 |
---|
794 | zapondn(m_index) = z0 |
---|
795 | ! If remaining pond volume is negative reduce pond volume of |
---|
796 | ! lower category |
---|
797 | IF (zvolp+epsi10 < sum(zvolpn(1:m_index-1))) & |
---|
798 | zvolpn(m_index-1) = zvolpn(m_index-1)-sum(zvolpn(1:m_index-1))& |
---|
799 | + zvolp |
---|
800 | END IF |
---|
801 | END IF |
---|
802 | |
---|
803 | DO n=1,m_index |
---|
804 | IF (zapondn(n) > epsi10) THEN |
---|
805 | zhpondn(n) = zvolpn(n) / zapondn(n) |
---|
806 | ELSE |
---|
807 | dvolp = dvolp + zvolpn(n) |
---|
808 | zhpondn(n) = z0 |
---|
809 | zvolpn(n) = z0 |
---|
810 | zapondn(n) = z0 |
---|
811 | end IF |
---|
812 | END DO |
---|
813 | DO n = m_index+1, jpl |
---|
814 | zhpondn(n) = z0 |
---|
815 | zapondn(n) = z0 |
---|
816 | zvolpn (n) = z0 |
---|
817 | END DO |
---|
818 | |
---|
819 | END SUBROUTINE lim_mp_area |
---|
820 | |
---|
821 | !OLI_CODE |
---|
822 | !OLI_CODE |
---|
823 | !OLI_CODE SUBROUTINE calc_hpond(aicen, asnon, hsnon, rhos, alfan, & |
---|
824 | !OLI_CODE zvolp, cum_max_vol, & |
---|
825 | !OLI_CODE hpond, m_index) |
---|
826 | !OLI_CODE !!------------------------------------------------------------------- |
---|
827 | !OLI_CODE !! *** ROUTINE calc_hpond *** |
---|
828 | !OLI_CODE !! |
---|
829 | !OLI_CODE !! ** Purpose : Compute melt pond depth |
---|
830 | !OLI_CODE !!------------------------------------------------------------------- |
---|
831 | !OLI_CODE |
---|
832 | !OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(IN) :: & |
---|
833 | !OLI_CODE aicen, & |
---|
834 | !OLI_CODE asnon, & |
---|
835 | !OLI_CODE hsnon, & |
---|
836 | !OLI_CODE rhos, & |
---|
837 | !OLI_CODE alfan, & |
---|
838 | !OLI_CODE cum_max_vol |
---|
839 | !OLI_CODE |
---|
840 | !OLI_CODE REAL (wp), INTENT(IN) :: & |
---|
841 | !OLI_CODE zvolp |
---|
842 | !OLI_CODE |
---|
843 | !OLI_CODE REAL (wp), INTENT(OUT) :: & |
---|
844 | !OLI_CODE hpond |
---|
845 | !OLI_CODE |
---|
846 | !OLI_CODE INTEGER, INTENT(OUT) :: & |
---|
847 | !OLI_CODE m_index |
---|
848 | !OLI_CODE |
---|
849 | !OLI_CODE INTEGER :: n, ns |
---|
850 | !OLI_CODE |
---|
851 | !OLI_CODE REAL (wp), DIMENSION(0:jpl+1) :: & |
---|
852 | !OLI_CODE hitl, & |
---|
853 | !OLI_CODE aicetl |
---|
854 | !OLI_CODE |
---|
855 | !OLI_CODE REAL (wp) :: & |
---|
856 | !OLI_CODE rem_vol, & |
---|
857 | !OLI_CODE area, & |
---|
858 | !OLI_CODE vol, & |
---|
859 | !OLI_CODE tmp, & |
---|
860 | !OLI_CODE z0 = 0.0_wp, & |
---|
861 | !OLI_CODE epsi10 = 1.0e-11_wp |
---|
862 | !OLI_CODE |
---|
863 | !OLI_CODE !---------------------------------------------------------------- |
---|
864 | !OLI_CODE ! hpond is zero if zvolp is zero - have we fully drained? |
---|
865 | !OLI_CODE !---------------------------------------------------------------- |
---|
866 | !OLI_CODE |
---|
867 | !OLI_CODE IF (zvolp < epsi10) THEN |
---|
868 | !OLI_CODE hpond = z0 |
---|
869 | !OLI_CODE m_index = 0 |
---|
870 | !OLI_CODE ELSE |
---|
871 | !OLI_CODE |
---|
872 | !OLI_CODE !---------------------------------------------------------------- |
---|
873 | !OLI_CODE ! Calculate the category where water fills up to |
---|
874 | !OLI_CODE !---------------------------------------------------------------- |
---|
875 | !OLI_CODE |
---|
876 | !OLI_CODE !----------| |
---|
877 | !OLI_CODE ! | |
---|
878 | !OLI_CODE ! | |
---|
879 | !OLI_CODE ! |----------| -- -- |
---|
880 | !OLI_CODE !__________|__________|_________________________________________ ^ |
---|
881 | !OLI_CODE ! | | rem_vol ^ | Semi-filled |
---|
882 | !OLI_CODE ! | |----------|-- -- -- - ---|-- ---- -- -- --v layer |
---|
883 | !OLI_CODE ! | | | | |
---|
884 | !OLI_CODE ! | | | |hpond |
---|
885 | !OLI_CODE ! | | |----------| | |------- |
---|
886 | !OLI_CODE ! | | | | | | |
---|
887 | !OLI_CODE ! | | | |---v-----| |
---|
888 | !OLI_CODE ! | | m_index | | | |
---|
889 | !OLI_CODE !------------------------------------------------------------- |
---|
890 | !OLI_CODE |
---|
891 | !OLI_CODE m_index = 0 ! 1:m_index categories have water in them |
---|
892 | !OLI_CODE DO n = 1, jpl |
---|
893 | !OLI_CODE IF (zvolp <= cum_max_vol(n)) THEN |
---|
894 | !OLI_CODE m_index = n |
---|
895 | !OLI_CODE IF (n == 1) THEN |
---|
896 | !OLI_CODE rem_vol = zvolp |
---|
897 | !OLI_CODE ELSE |
---|
898 | !OLI_CODE rem_vol = zvolp - cum_max_vol(n-1) |
---|
899 | !OLI_CODE END IF |
---|
900 | !OLI_CODE exit ! to break out of the loop |
---|
901 | !OLI_CODE END IF |
---|
902 | !OLI_CODE END DO |
---|
903 | !OLI_CODE m_index = min(jpl-1, m_index) |
---|
904 | !OLI_CODE |
---|
905 | !OLI_CODE !---------------------------------------------------------------- |
---|
906 | !OLI_CODE ! semi-filled layer may have m_index different snow in it |
---|
907 | !OLI_CODE !---------------------------------------------------------------- |
---|
908 | !OLI_CODE |
---|
909 | !OLI_CODE !----------------------------------------------------------- ^ |
---|
910 | !OLI_CODE ! | alfan(m_index+1) |
---|
911 | !OLI_CODE ! | |
---|
912 | !OLI_CODE !hitl(3)--> |----------| | |
---|
913 | !OLI_CODE !hitl(2)--> |------------| * * * * *| | |
---|
914 | !OLI_CODE !hitl(1)--> |----------|* * * * * * |* * * * * | | |
---|
915 | !OLI_CODE !hitl(0)-->------------------------------------------------- | ^ |
---|
916 | !OLI_CODE ! various snow from lower categories | |alfa(m_index) |
---|
917 | !OLI_CODE |
---|
918 | !OLI_CODE ! hitl - heights of the snow layers from thinner and current categories |
---|
919 | !OLI_CODE ! aicetl - area of each snow depth in this layer |
---|
920 | !OLI_CODE |
---|
921 | !OLI_CODE hitl(:) = z0 |
---|
922 | !OLI_CODE aicetl(:) = z0 |
---|
923 | !OLI_CODE DO n = 1, m_index |
---|
924 | !OLI_CODE hitl(n) = max(min(hsnon(n) + alfan(n) - alfan(m_index), & |
---|
925 | !OLI_CODE alfan(m_index+1) - alfan(m_index)), z0) |
---|
926 | !OLI_CODE aicetl(n) = asnon(n) |
---|
927 | !OLI_CODE |
---|
928 | !OLI_CODE aicetl(0) = aicetl(0) + (aicen(n) - asnon(n)) |
---|
929 | !OLI_CODE END DO |
---|
930 | !OLI_CODE hitl(m_index+1) = alfan(m_index+1) - alfan(m_index) |
---|
931 | !OLI_CODE aicetl(m_index+1) = z0 |
---|
932 | !OLI_CODE |
---|
933 | !OLI_CODE !---------------------------------------------------------------- |
---|
934 | !OLI_CODE ! reorder array according to hitl |
---|
935 | !OLI_CODE ! snow heights not necessarily in height order |
---|
936 | !OLI_CODE !---------------------------------------------------------------- |
---|
937 | !OLI_CODE |
---|
938 | !OLI_CODE DO ns = 1, m_index+1 |
---|
939 | !OLI_CODE DO n = 0, m_index - ns + 1 |
---|
940 | !OLI_CODE IF (hitl(n) > hitl(n+1)) THEN ! swap order |
---|
941 | !OLI_CODE tmp = hitl(n) |
---|
942 | !OLI_CODE hitl(n) = hitl(n+1) |
---|
943 | !OLI_CODE hitl(n+1) = tmp |
---|
944 | !OLI_CODE tmp = aicetl(n) |
---|
945 | !OLI_CODE aicetl(n) = aicetl(n+1) |
---|
946 | !OLI_CODE aicetl(n+1) = tmp |
---|
947 | !OLI_CODE END IF |
---|
948 | !OLI_CODE END DO |
---|
949 | !OLI_CODE END DO |
---|
950 | !OLI_CODE |
---|
951 | !OLI_CODE !---------------------------------------------------------------- |
---|
952 | !OLI_CODE ! divide semi-filled layer into set of sublayers each vertically homogenous |
---|
953 | !OLI_CODE !---------------------------------------------------------------- |
---|
954 | !OLI_CODE |
---|
955 | !OLI_CODE !hitl(3)---------------------------------------------------------------- |
---|
956 | !OLI_CODE ! | * * * * * * * * |
---|
957 | !OLI_CODE ! |* * * * * * * * * |
---|
958 | !OLI_CODE !hitl(2)---------------------------------------------------------------- |
---|
959 | !OLI_CODE ! | * * * * * * * * | * * * * * * * * |
---|
960 | !OLI_CODE ! |* * * * * * * * * |* * * * * * * * * |
---|
961 | !OLI_CODE !hitl(1)---------------------------------------------------------------- |
---|
962 | !OLI_CODE ! | * * * * * * * * | * * * * * * * * | * * * * * * * * |
---|
963 | !OLI_CODE ! |* * * * * * * * * |* * * * * * * * * |* * * * * * * * * |
---|
964 | !OLI_CODE !hitl(0)---------------------------------------------------------------- |
---|
965 | !OLI_CODE ! aicetl(0) aicetl(1) aicetl(2) aicetl(3) |
---|
966 | !OLI_CODE |
---|
967 | !OLI_CODE ! move up over layers incrementing volume |
---|
968 | !OLI_CODE DO n = 1, m_index+1 |
---|
969 | !OLI_CODE |
---|
970 | !OLI_CODE area = sum(aicetl(:)) - & ! total area of sub-layer |
---|
971 | !OLI_CODE (rhos(n)/rau0) * sum(aicetl(n:jpl+1)) ! area of sub-layer occupied by snow |
---|
972 | !OLI_CODE |
---|
973 | !OLI_CODE vol = (hitl(n) - hitl(n-1)) * area ! thickness of sub-layer times area |
---|
974 | !OLI_CODE |
---|
975 | !OLI_CODE IF (vol >= rem_vol) THEN ! have reached the sub-layer with the depth within |
---|
976 | !OLI_CODE hpond = rem_vol / area + hitl(n-1) + alfan(m_index) - & |
---|
977 | !OLI_CODE alfan(1) |
---|
978 | !OLI_CODE exit |
---|
979 | !OLI_CODE ELSE ! still in sub-layer below the sub-layer with the depth |
---|
980 | !OLI_CODE rem_vol = rem_vol - vol |
---|
981 | !OLI_CODE END IF |
---|
982 | !OLI_CODE |
---|
983 | !OLI_CODE END DO |
---|
984 | !OLI_CODE |
---|
985 | !OLI_CODE END IF |
---|
986 | !OLI_CODE |
---|
987 | !OLI_CODE END SUBROUTINE calc_hpond |
---|
988 | !OLI_CODE |
---|
989 | !OLI_CODE |
---|
990 | SUBROUTINE lim_mp_perm(ticen, salin, vicen, perm) |
---|
991 | !!------------------------------------------------------------------- |
---|
992 | !! *** ROUTINE lim_mp_perm *** |
---|
993 | !! |
---|
994 | !! ** Purpose : Determine the liquid fraction of brine in the ice |
---|
995 | !! and its permeability |
---|
996 | !!------------------------------------------------------------------- |
---|
997 | REAL (wp), DIMENSION(nlay_i), INTENT(IN) :: & |
---|
998 | ticen, & ! energy of melting for each ice layer (J/m2) |
---|
999 | salin |
---|
1000 | |
---|
1001 | REAL (wp), INTENT(IN) :: & |
---|
1002 | vicen ! ice volume |
---|
1003 | |
---|
1004 | REAL (wp), INTENT(OUT) :: & |
---|
1005 | perm ! permeability |
---|
1006 | |
---|
1007 | REAL (wp) :: & |
---|
1008 | Sbr ! brine salinity |
---|
1009 | |
---|
1010 | REAL (wp), DIMENSION(nlay_i) :: & |
---|
1011 | Tin, & ! ice temperature |
---|
1012 | phi ! liquid fraction |
---|
1013 | |
---|
1014 | INTEGER :: k |
---|
1015 | |
---|
1016 | REAL (wp) :: & |
---|
1017 | c2 = 2.0_wp |
---|
1018 | |
---|
1019 | !----------------------------------------------------------------- |
---|
1020 | ! Compute ice temperatures from enthalpies using quadratic formula |
---|
1021 | !----------------------------------------------------------------- |
---|
1022 | |
---|
1023 | DO k = 1,nlay_i |
---|
1024 | Tin(k) = ticen(k) |
---|
1025 | END DO |
---|
1026 | |
---|
1027 | !----------------------------------------------------------------- |
---|
1028 | ! brine salinity and liquid fraction |
---|
1029 | !----------------------------------------------------------------- |
---|
1030 | |
---|
1031 | IF (maxval(Tin-rtt) <= -c2) THEN |
---|
1032 | |
---|
1033 | DO k = 1,nlay_i |
---|
1034 | Sbr = - 1.2_wp & |
---|
1035 | -21.8_wp * (Tin(k)-rtt) & |
---|
1036 | - 0.919_wp * (Tin(k)-rtt)**2 & |
---|
1037 | - 0.01878_wp * (Tin(k)-rtt)**3 |
---|
1038 | phi(k) = salin(k)/Sbr ! liquid fraction |
---|
1039 | END DO ! k |
---|
1040 | |
---|
1041 | ELSE |
---|
1042 | |
---|
1043 | DO k = 1,nlay_i |
---|
1044 | Sbr = -17.6_wp * (Tin(k)-rtt) & |
---|
1045 | - 0.389_wp * (Tin(k)-rtt)**2 & |
---|
1046 | - 0.00362_wp* (Tin(k)-rtt)**3 |
---|
1047 | phi(k) = salin(k)/Sbr ! liquid fraction |
---|
1048 | END DO |
---|
1049 | |
---|
1050 | END IF |
---|
1051 | |
---|
1052 | !----------------------------------------------------------------- |
---|
1053 | ! permeability |
---|
1054 | !----------------------------------------------------------------- |
---|
1055 | |
---|
1056 | perm = 3.0e-08_wp * (minval(phi))**3 ! REFERENCE PLEASE (this fucking |
---|
1057 | ! bastard of Golden) |
---|
1058 | |
---|
1059 | END SUBROUTINE lim_mp_perm |
---|
1060 | !OLI_CODE |
---|
1061 | !OLI_CODE #else |
---|
1062 | !OLI_CODE !!---------------------------------------------------------------------- |
---|
1063 | !OLI_CODE !! Default option Dummy Module No LIM-3 sea-ice model |
---|
1064 | !OLI_CODE !!---------------------------------------------------------------------- |
---|
1065 | !OLI_CODE CONTAINS |
---|
1066 | !OLI_CODE SUBROUTINE lim_mp_init ! Empty routine |
---|
1067 | !OLI_CODE END SUBROUTINE lim_mp_init |
---|
1068 | !OLI_CODE SUBROUTINE lim_mp ! Empty routine |
---|
1069 | !OLI_CODE END SUBROUTINE lim_mp |
---|
1070 | !OLI_CODE SUBROUTINE compute_mp_topo ! Empty routine |
---|
1071 | !OLI_CODE END SUBROUTINE compute_mp_topo |
---|
1072 | !OLI_CODE SUBROUTINE pond_area ! Empty routine |
---|
1073 | !OLI_CODE END SUBROUTINE pond_area |
---|
1074 | !OLI_CODE SUBROUTINE calc_hpond ! Empty routine |
---|
1075 | !OLI_CODE END SUBROUTINE calc_hpond |
---|
1076 | !OLI_CODE SUBROUTINE permeability_phy ! Empty routine |
---|
1077 | !OLI_CODE END SUBROUTINE permeability_phy |
---|
1078 | !OLI_CODE #endif |
---|
1079 | !OLI_CODE !!====================================================================== |
---|
1080 | !OLI_CODE END MODULE limmp_topo |
---|
1081 | |
---|
1082 | |
---|
1083 | !OLI_CODE MODULE limmp_topo |
---|
1084 | !OLI_CODE !!====================================================================== |
---|
1085 | !OLI_CODE !! *** MODULE limmp_topo *** |
---|
1086 | !OLI_CODE !! LIM-3 sea-ice : computation of melt ponds' properties |
---|
1087 | !OLI_CODE !!====================================================================== |
---|
1088 | !OLI_CODE !! History : Original code by Daniela Flocco and Adrian Turner |
---|
1089 | !OLI_CODE !! ! 2012-09 (O. Lecomte) Adaptation for routine inclusion in |
---|
1090 | !OLI_CODE !! NEMO-LIM3.1 |
---|
1091 | !OLI_CODE !! ! 2016-11 (O. Lecomte, C. Rousset, M. Vancoppenolle) |
---|
1092 | !OLI_CODE !! Adaptation for merge with NEMO-LIM3.6 |
---|
1093 | !OLI_CODE !!---------------------------------------------------------------------- |
---|
1094 | !OLI_CODE #if defined key_lim3 |
---|
1095 | !OLI_CODE !!---------------------------------------------------------------------- |
---|
1096 | !OLI_CODE !! 'key_lim3' LIM-3 sea-ice model |
---|
1097 | !OLI_CODE !!---------------------------------------------------------------------- |
---|
1098 | !OLI_CODE !! lim_mp_init : melt pond properties initialization |
---|
1099 | !OLI_CODE !! lim_mp : melt pond routine caller |
---|
1100 | !OLI_CODE !! compute_mp_topo : Actual melt pond routine |
---|
1101 | !OLI_CODE !!---------------------------------------------------------------------- |
---|
1102 | !OLI_CODE USE ice_oce, ONLY: rdt_ice, tatm_ice |
---|
1103 | !OLI_CODE USE phycst |
---|
1104 | !OLI_CODE USE dom_ice |
---|
1105 | !OLI_CODE USE dom_oce |
---|
1106 | !OLI_CODE USE sbc_oce |
---|
1107 | !OLI_CODE USE sbc_ice |
---|
1108 | !OLI_CODE USE par_ice |
---|
1109 | !OLI_CODE USE par_oce |
---|
1110 | !OLI_CODE USE ice |
---|
1111 | !OLI_CODE USE thd_ice |
---|
1112 | !OLI_CODE USE in_out_manager |
---|
1113 | !OLI_CODE USE lbclnk |
---|
1114 | !OLI_CODE USE lib_mpp |
---|
1115 | !OLI_CODE |
---|
1116 | !OLI_CODE IMPLICIT NONE |
---|
1117 | !OLI_CODE PRIVATE |
---|
1118 | !OLI_CODE |
---|
1119 | !OLI_CODE PUBLIC lim_mp_init |
---|
1120 | !OLI_CODE PUBLIC lim_mp |
---|
1121 | !OLI_CODE |
---|
1122 | !OLI_CODE CONTAINS |
---|
1123 | !OLI_CODE |
---|
1124 | !OLI_CODE SUBROUTINE lim_mp_init |
---|
1125 | !OLI_CODE !!------------------------------------------------------------------- |
---|
1126 | !OLI_CODE !! *** ROUTINE lim_mp_init *** |
---|
1127 | !OLI_CODE !! |
---|
1128 | !OLI_CODE !! ** Purpose : Initialize melt ponds |
---|
1129 | !OLI_CODE !!------------------------------------------------------------------- |
---|
1130 | !OLI_CODE a_ip_frac(:,:,:) = 0._wp |
---|
1131 | !OLI_CODE a_ip(:,:,:) = 0._wp |
---|
1132 | !OLI_CODE h_ip(:,:,:) = 0._wp |
---|
1133 | !OLI_CODE v_ip(:,:,:) = 0._wp |
---|
1134 | !OLI_CODE h_il(:,:,:) = 0._wp |
---|
1135 | !OLI_CODE v_il(:,:,:) = 0._wp |
---|
1136 | !OLI_CODE |
---|
1137 | !OLI_CODE END SUBROUTINE lim_mp_init |
---|
1138 | !OLI_CODE |
---|
1139 | !OLI_CODE |
---|
1140 | !OLI_CODE SUBROUTINE lim_mp |
---|
1141 | !OLI_CODE !!------------------------------------------------------------------- |
---|
1142 | !OLI_CODE !! *** ROUTINE lim_mp *** |
---|
1143 | !OLI_CODE !! |
---|
1144 | !OLI_CODE !! ** Purpose : Compute surface heat flux and call main melt pond |
---|
1145 | !OLI_CODE !! routine |
---|
1146 | !OLI_CODE !!------------------------------------------------------------------- |
---|
1147 | !OLI_CODE |
---|
1148 | !OLI_CODE INTEGER :: ji, jj, jl ! dummy loop indices |
---|
1149 | !OLI_CODE |
---|
1150 | !OLI_CODE fsurf(:,:) = 0.e0 |
---|
1151 | !OLI_CODE DO jl = 1, jpl |
---|
1152 | !OLI_CODE DO jj = 1, jpj |
---|
1153 | !OLI_CODE DO ji = 1, jpi |
---|
1154 | !OLI_CODE fsurf(ji,jj) = fsurf(ji,jj) + a_i(ji,jj,jl) * & |
---|
1155 | !OLI_CODE (qns_ice(ji,jj,jl) + (1.0 - izero(ji,jj,jl)) & |
---|
1156 | !OLI_CODE * qsr_ice(ji,jj,jl)) |
---|
1157 | !OLI_CODE END DO |
---|
1158 | !OLI_CODE END DO |
---|
1159 | !OLI_CODE END DO |
---|
1160 | !OLI_CODE |
---|
1161 | !OLI_CODE CALL compute_mp_topo(at_i, a_i, & |
---|
1162 | !OLI_CODE vt_i, v_i, v_s, rhosn_glo, t_i, s_i, a_ip_frac, & |
---|
1163 | !OLI_CODE h_ip, h_il, t_su, tatm_ice, diag_sur_me*rdt_ice, & |
---|
1164 | !OLI_CODE fsurf, fwoc) |
---|
1165 | !OLI_CODE |
---|
1166 | !OLI_CODE at_ip(:,:) = 0.0 |
---|
1167 | !OLI_CODE vt_ip(:,:) = 0.0 |
---|
1168 | !OLI_CODE vt_il(:,:) = 0.0 |
---|
1169 | !OLI_CODE DO jl = 1, jpl |
---|
1170 | !OLI_CODE DO jj = 1, jpj |
---|
1171 | !OLI_CODE DO ji = 1, jpi |
---|
1172 | !OLI_CODE a_ip(ji,jj,jl) = MAX(0.0_wp, a_ip_frac(ji,jj,jl) * & |
---|
1173 | !OLI_CODE a_i(ji,jj,jl)) |
---|
1174 | !OLI_CODE v_ip(ji,jj,jl) = MAX(0.0_wp, a_ip_frac(ji,jj,jl) * & |
---|
1175 | !OLI_CODE a_i(ji,jj,jl) * h_ip(ji,jj,jl)) |
---|
1176 | !OLI_CODE v_il(ji,jj,jl) = MAX(0.0_wp, a_ip_frac(ji,jj,jl) * & |
---|
1177 | !OLI_CODE a_i(ji,jj,jl) * h_il(ji,jj,jl)) |
---|
1178 | !OLI_CODE at_ip(ji,jj) = at_ip(ji,jj) + a_ip(ji,jj,jl) |
---|
1179 | !OLI_CODE vt_ip(ji,jj) = vt_ip(ji,jj) + v_ip(ji,jj,jl) |
---|
1180 | !OLI_CODE vt_il(ji,jj) = vt_il(ji,jj) + v_il(ji,jj,jl) |
---|
1181 | !OLI_CODE END DO |
---|
1182 | !OLI_CODE END DO |
---|
1183 | !OLI_CODE END DO |
---|
1184 | !OLI_CODE |
---|
1185 | !OLI_CODE END SUBROUTINE lim_mp |
---|
1186 | !OLI_CODE |
---|
1187 | !OLI_CODE |
---|
1188 | !OLI_CODE SUBROUTINE compute_mp_topo(aice, aicen, & |
---|
1189 | !OLI_CODE vice, vicen, & |
---|
1190 | !OLI_CODE vsnon, rhos, & |
---|
1191 | !OLI_CODE ticen, salin, & |
---|
1192 | !OLI_CODE a_ip_frac, h_ip, & |
---|
1193 | !OLI_CODE h_il, Tsfc, & |
---|
1194 | !OLI_CODE potT, meltt, & |
---|
1195 | !OLI_CODE fsurf, fwoc) |
---|
1196 | !OLI_CODE !!------------------------------------------------------------------- |
---|
1197 | !OLI_CODE !! *** ROUTINE compute_mp_topo *** |
---|
1198 | !OLI_CODE !! |
---|
1199 | !OLI_CODE !! ** Purpose : Compute melt pond evolution based on the ice |
---|
1200 | !OLI_CODE !! topography as inferred from the ice thickness |
---|
1201 | !OLI_CODE !! distribution. |
---|
1202 | !OLI_CODE !! |
---|
1203 | !OLI_CODE !! ** Method : This code is initially based on Flocco and Feltham |
---|
1204 | !OLI_CODE !! (2007) and Flocco et al. (2010). More to come... |
---|
1205 | !OLI_CODE !! |
---|
1206 | !OLI_CODE !! ** Tunable parameters : |
---|
1207 | !OLI_CODE !! |
---|
1208 | !OLI_CODE !! ** Note : |
---|
1209 | !OLI_CODE !! |
---|
1210 | !OLI_CODE !! ** References |
---|
1211 | !OLI_CODE !! Flocco, D. and D. L. Feltham, 2007. A continuum model of melt pond |
---|
1212 | !OLI_CODE !! evolution on Arctic sea ice. J. Geophys. Res. 112, C08016, doi: |
---|
1213 | !OLI_CODE !! 10.1029/2006JC003836. |
---|
1214 | !OLI_CODE !! Flocco, D., D. L. Feltham and A. K. Turner, 2010. Incorporation of |
---|
1215 | !OLI_CODE !! a physically based melt pond scheme into the sea ice component of a |
---|
1216 | !OLI_CODE !! climate model. J. Geophys. Res. 115, C08012, |
---|
1217 | !OLI_CODE !! doi: 10.1029/2009JC005568. |
---|
1218 | !OLI_CODE !! |
---|
1219 | !OLI_CODE !!------------------------------------------------------------------- |
---|
1220 | !OLI_CODE |
---|
1221 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj), & |
---|
1222 | !OLI_CODE INTENT(IN) :: & |
---|
1223 | !OLI_CODE aice, & ! total ice area fraction |
---|
1224 | !OLI_CODE vice ! total ice volume (m) |
---|
1225 | !OLI_CODE |
---|
1226 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl), & |
---|
1227 | !OLI_CODE INTENT(IN) :: & |
---|
1228 | !OLI_CODE aicen, & ! ice area fraction, per category |
---|
1229 | !OLI_CODE vsnon, & ! snow volume, per category (m) |
---|
1230 | !OLI_CODE rhos, & ! equivalent snow density, per category (kg/m^3) |
---|
1231 | !OLI_CODE vicen ! ice volume, per category (m) |
---|
1232 | !OLI_CODE |
---|
1233 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj,nlay_i,jpl), & |
---|
1234 | !OLI_CODE INTENT(IN) :: & |
---|
1235 | !OLI_CODE ticen, & ! ice enthalpy, per category |
---|
1236 | !OLI_CODE salin |
---|
1237 | !OLI_CODE |
---|
1238 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl), & |
---|
1239 | !OLI_CODE INTENT(INOUT) :: & |
---|
1240 | !OLI_CODE a_ip_frac , & ! pond area fraction of ice, per ice category |
---|
1241 | !OLI_CODE h_ip , & ! pond depth, per ice category (m) |
---|
1242 | !OLI_CODE h_il ! Refrozen ice lid thickness, per ice category (m) |
---|
1243 | !OLI_CODE |
---|
1244 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj), & |
---|
1245 | !OLI_CODE INTENT(IN) :: & |
---|
1246 | !OLI_CODE potT, & ! air potential temperature |
---|
1247 | !OLI_CODE meltt, & ! total surface meltwater flux |
---|
1248 | !OLI_CODE fsurf ! thermodynamic heat flux at ice/snow surface (W/m^2) |
---|
1249 | !OLI_CODE |
---|
1250 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj), & |
---|
1251 | !OLI_CODE INTENT(INOUT) :: & |
---|
1252 | !OLI_CODE fwoc ! fresh water flux to the ocean (from draining and other pond volume adjustments) |
---|
1253 | !OLI_CODE ! (m) |
---|
1254 | !OLI_CODE |
---|
1255 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl), & |
---|
1256 | !OLI_CODE INTENT(IN) :: & |
---|
1257 | !OLI_CODE Tsfc ! snow/sea ice surface temperature |
---|
1258 | !OLI_CODE |
---|
1259 | !OLI_CODE ! local variables |
---|
1260 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl) :: & |
---|
1261 | !OLI_CODE zTsfcn, & ! ice/snow surface temperature (C) |
---|
1262 | !OLI_CODE zvolpn, & ! pond volume per unit area, per category (m) |
---|
1263 | !OLI_CODE zvuin ! water-equivalent volume of ice lid on melt pond ('upper ice', m) |
---|
1264 | !OLI_CODE |
---|
1265 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl) :: & |
---|
1266 | !OLI_CODE zapondn,& ! pond area fraction, per category |
---|
1267 | !OLI_CODE zhpondn ! pond depth, per category (m) |
---|
1268 | !OLI_CODE |
---|
1269 | !OLI_CODE REAL (wp), DIMENSION (jpi,jpj) :: & |
---|
1270 | !OLI_CODE zvolp ! total volume of pond, per unit area of pond (m) |
---|
1271 | !OLI_CODE |
---|
1272 | !OLI_CODE REAL (wp) :: & |
---|
1273 | !OLI_CODE zhi, & ! ice thickness (m) |
---|
1274 | !OLI_CODE zdHui, & ! change in thickness of ice lid (m) |
---|
1275 | !OLI_CODE zomega, & ! conduction |
---|
1276 | !OLI_CODE zdTice, & ! temperature difference across ice lid (C) |
---|
1277 | !OLI_CODE zdvice, & ! change in ice volume (m) |
---|
1278 | !OLI_CODE zTavg, & ! mean surface temperature across categories (C) |
---|
1279 | !OLI_CODE zTp, & ! pond freezing temperature (C) |
---|
1280 | !OLI_CODE zdvn ! change in melt pond volume for fresh water budget |
---|
1281 | !OLI_CODE INTEGER, DIMENSION (jpi*jpj) :: & |
---|
1282 | !OLI_CODE indxi, indxj ! compressed indices for cells with ice melting |
---|
1283 | !OLI_CODE |
---|
1284 | !OLI_CODE INTEGER :: n,k,i,j,ij,icells,indxij ! loop indices |
---|
1285 | !OLI_CODE |
---|
1286 | !OLI_CODE INTEGER, DIMENSION (jpl) :: & |
---|
1287 | !OLI_CODE kcells ! cells where ice lid combines with vice |
---|
1288 | !OLI_CODE |
---|
1289 | !OLI_CODE INTEGER, DIMENSION (jpi*jpj,jpl) :: & |
---|
1290 | !OLI_CODE indxii, indxjj ! i,j indices for kcells loop |
---|
1291 | !OLI_CODE |
---|
1292 | !OLI_CODE REAL (wp), parameter :: & |
---|
1293 | !OLI_CODE zhicemin = 0.1_wp , & ! minimum ice thickness with ponds (m) |
---|
1294 | !OLI_CODE zTd = 0.15_wp, & ! temperature difference for freeze-up (C) |
---|
1295 | !OLI_CODE zr1_rlfus = 1._wp / 0.334e+6 / 917._wp , & ! (J/m^3) |
---|
1296 | !OLI_CODE zmin_volp = 1.e-4_wp, & ! minimum pond volume (m) |
---|
1297 | !OLI_CODE z0 = 0._wp, & |
---|
1298 | !OLI_CODE zTimelt = 0._wp, & |
---|
1299 | !OLI_CODE z01 = 0.01_wp, & |
---|
1300 | !OLI_CODE z25 = 0.25_wp, & |
---|
1301 | !OLI_CODE z5 = 0.5_wp, & |
---|
1302 | !OLI_CODE epsi10 = 1.0e-11_wp |
---|
1303 | !OLI_CODE !--------------------------------------------------------------- |
---|
1304 | !OLI_CODE ! initialize |
---|
1305 | !OLI_CODE !--------------------------------------------------------------- |
---|
1306 | !OLI_CODE |
---|
1307 | !OLI_CODE DO j = 1, jpj |
---|
1308 | !OLI_CODE DO i = 1, jpi |
---|
1309 | !OLI_CODE zvolp(i,j) = z0 |
---|
1310 | !OLI_CODE END DO |
---|
1311 | !OLI_CODE END DO |
---|
1312 | !OLI_CODE DO n = 1, jpl |
---|
1313 | !OLI_CODE DO j = 1, jpj |
---|
1314 | !OLI_CODE DO i = 1, jpi |
---|
1315 | !OLI_CODE ! load tracers |
---|
1316 | !OLI_CODE zvolp(i,j) = zvolp(i,j) + h_ip(i,j,n) & |
---|
1317 | !OLI_CODE * a_ip_frac(i,j,n) * aicen(i,j,n) |
---|
1318 | !OLI_CODE zTsfcn(i,j,n) = Tsfc(i,j,n) - rtt ! convert in Celsius - Oli |
---|
1319 | !OLI_CODE zvuin (i,j,n) = h_il(i,j,n) & |
---|
1320 | !OLI_CODE * a_ip_frac(i,j,n) * aicen(i,j,n) |
---|
1321 | !OLI_CODE |
---|
1322 | !OLI_CODE zhpondn(i,j,n) = z0 ! pond depth, per category |
---|
1323 | !OLI_CODE zapondn(i,j,n) = z0 ! pond area, per category |
---|
1324 | !OLI_CODE END DO |
---|
1325 | !OLI_CODE END DO |
---|
1326 | !OLI_CODE indxii(:,n) = 0 |
---|
1327 | !OLI_CODE indxjj(:,n) = 0 |
---|
1328 | !OLI_CODE kcells (n) = 0 |
---|
1329 | !OLI_CODE END DO |
---|
1330 | !OLI_CODE |
---|
1331 | !OLI_CODE ! The freezing temperature for meltponds is assumed slightly below 0C, |
---|
1332 | !OLI_CODE ! as if meltponds had a little salt in them. The salt budget is not |
---|
1333 | !OLI_CODE ! altered for meltponds, but if it were then an actual pond freezing |
---|
1334 | !OLI_CODE ! temperature could be computed. |
---|
1335 | !OLI_CODE |
---|
1336 | !OLI_CODE zTp = zTimelt - zTd |
---|
1337 | !OLI_CODE |
---|
1338 | !OLI_CODE !----------------------------------------------------------------- |
---|
1339 | !OLI_CODE ! Identify grid cells with ponds |
---|
1340 | !OLI_CODE !----------------------------------------------------------------- |
---|
1341 | !OLI_CODE |
---|
1342 | !OLI_CODE icells = 0 |
---|
1343 | !OLI_CODE DO j = 1, jpj |
---|
1344 | !OLI_CODE DO i = 1, jpi |
---|
1345 | !OLI_CODE zhi = z0 |
---|
1346 | !OLI_CODE IF (aice(i,j) > epsi10) zhi = vice(i,j)/aice(i,j) |
---|
1347 | !OLI_CODE IF ( aice(i,j) > z01 .and. zhi > zhicemin .and. & |
---|
1348 | !OLI_CODE zvolp(i,j) > zmin_volp*aice(i,j)) THEN |
---|
1349 | !OLI_CODE icells = icells + 1 |
---|
1350 | !OLI_CODE indxi(icells) = i |
---|
1351 | !OLI_CODE indxj(icells) = j |
---|
1352 | !OLI_CODE ELSE ! remove ponds on thin ice |
---|
1353 | !OLI_CODE !fpond(i,j) = fpond(i,j) - zvolp(i,j) |
---|
1354 | !OLI_CODE zvolpn(i,j,:) = z0 |
---|
1355 | !OLI_CODE zvuin (i,j,:) = z0 |
---|
1356 | !OLI_CODE zvolp (i,j) = z0 |
---|
1357 | !OLI_CODE END IF |
---|
1358 | !OLI_CODE END DO ! i |
---|
1359 | !OLI_CODE END DO ! j |
---|
1360 | !OLI_CODE |
---|
1361 | !OLI_CODE DO ij = 1, icells |
---|
1362 | !OLI_CODE i = indxi(ij) |
---|
1363 | !OLI_CODE j = indxj(ij) |
---|
1364 | !OLI_CODE |
---|
1365 | !OLI_CODE !-------------------------------------------------------------- |
---|
1366 | !OLI_CODE ! calculate pond area and depth |
---|
1367 | !OLI_CODE !-------------------------------------------------------------- |
---|
1368 | !OLI_CODE CALL pond_area(aice(i,j),vice(i,j),rhos(i,j,:), & |
---|
1369 | !OLI_CODE aicen(i,j,:), vicen(i,j,:), vsnon(i,j,:), & |
---|
1370 | !OLI_CODE ticen(i,j,:,:), salin(i,j,:,:), & |
---|
1371 | !OLI_CODE zvolpn(i,j,:), zvolp(i,j), & |
---|
1372 | !OLI_CODE zapondn(i,j,:),zhpondn(i,j,:), zdvn) |
---|
1373 | !OLI_CODE |
---|
1374 | !OLI_CODE fwoc(i,j) = fwoc(i,j) + zdvn ! -> Goes to fresh water budget |
---|
1375 | !OLI_CODE |
---|
1376 | !OLI_CODE ! mean surface temperature |
---|
1377 | !OLI_CODE zTavg = z0 |
---|
1378 | !OLI_CODE DO n = 1, jpl |
---|
1379 | !OLI_CODE zTavg = zTavg + zTsfcn(i,j,n)*aicen(i,j,n) |
---|
1380 | !OLI_CODE END DO |
---|
1381 | !OLI_CODE zTavg = zTavg / aice(i,j) |
---|
1382 | !OLI_CODE |
---|
1383 | !OLI_CODE DO n = 1, jpl-1 |
---|
1384 | !OLI_CODE |
---|
1385 | !OLI_CODE IF (zvuin(i,j,n) > epsi10) THEN |
---|
1386 | !OLI_CODE |
---|
1387 | !OLI_CODE !---------------------------------------------------------------- |
---|
1388 | !OLI_CODE ! melting: floating upper ice layer melts in whole or part |
---|
1389 | !OLI_CODE !---------------------------------------------------------------- |
---|
1390 | !OLI_CODE ! IF (zTsfcn(i,j,n) > zTp) THEN |
---|
1391 | !OLI_CODE IF (zTavg > zTp) THEN |
---|
1392 | !OLI_CODE |
---|
1393 | !OLI_CODE zdvice = min(meltt(i,j)*zapondn(i,j,n), zvuin(i,j,n)) |
---|
1394 | !OLI_CODE IF (zdvice > epsi10) THEN |
---|
1395 | !OLI_CODE zvuin (i,j,n) = zvuin (i,j,n) - zdvice |
---|
1396 | !OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) + zdvice |
---|
1397 | !OLI_CODE zvolp (i,j) = zvolp (i,j) + zdvice |
---|
1398 | !OLI_CODE !fwoc(i,j) = fwoc(i,j) + zdvice |
---|
1399 | !OLI_CODE |
---|
1400 | !OLI_CODE IF (zvuin(i,j,n) < epsi10 .and. zvolpn(i,j,n) > puny) THEN |
---|
1401 | !OLI_CODE ! ice lid melted and category is pond covered |
---|
1402 | !OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) + zvuin(i,j,n) |
---|
1403 | !OLI_CODE !fwoc(i,j) = fwoc(i,j) + zvuin(i,j,n) |
---|
1404 | !OLI_CODE zvuin(i,j,n) = z0 |
---|
1405 | !OLI_CODE END IF |
---|
1406 | !OLI_CODE zhpondn(i,j,n) = zvolpn(i,j,n) / zapondn(i,j,n) |
---|
1407 | !OLI_CODE END IF |
---|
1408 | !OLI_CODE |
---|
1409 | !OLI_CODE !---------------------------------------------------------------- |
---|
1410 | !OLI_CODE ! freezing: existing upper ice layer grows |
---|
1411 | !OLI_CODE !---------------------------------------------------------------- |
---|
1412 | !OLI_CODE ELSE IF (zvolpn(i,j,n) > epsi10) THEN ! zTavg <= zTp |
---|
1413 | !OLI_CODE |
---|
1414 | !OLI_CODE ! dIFferential growth of base of surface floating ice layer |
---|
1415 | !OLI_CODE zdTice = max(-zTavg, z0) ! > 0 |
---|
1416 | !OLI_CODE zomega = rcdic*zdTice * zr1_rlfus |
---|
1417 | !OLI_CODE zdHui = sqrt(zomega*rdt_ice + z25*(zvuin(i,j,n)/ & |
---|
1418 | !OLI_CODE aicen(i,j,n))**2)- z5 * zvuin(i,j,n)/aicen(i,j,n) |
---|
1419 | !OLI_CODE |
---|
1420 | !OLI_CODE zdvice = min(zdHui*zapondn(i,j,n), zvolpn(i,j,n)) |
---|
1421 | !OLI_CODE IF (zdvice > epsi10) THEN |
---|
1422 | !OLI_CODE zvuin (i,j,n) = zvuin (i,j,n) + zdvice |
---|
1423 | !OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) - zdvice |
---|
1424 | !OLI_CODE zvolp (i,j) = zvolp (i,j) - zdvice |
---|
1425 | !OLI_CODE !fwoc(i,j) = fwoc(i,j) - zdvice |
---|
1426 | !OLI_CODE zhpondn(i,j,n) = zvolpn(i,j,n) / zapondn(i,j,n) |
---|
1427 | !OLI_CODE END IF |
---|
1428 | !OLI_CODE |
---|
1429 | !OLI_CODE END IF ! zTavg |
---|
1430 | !OLI_CODE |
---|
1431 | !OLI_CODE !---------------------------------------------------------------- |
---|
1432 | !OLI_CODE ! freezing: upper ice layer begins to form |
---|
1433 | !OLI_CODE ! note: albedo does not change |
---|
1434 | !OLI_CODE !---------------------------------------------------------------- |
---|
1435 | !OLI_CODE ELSE ! zvuin < epsi10 |
---|
1436 | !OLI_CODE |
---|
1437 | !OLI_CODE ! thickness of newly formed ice |
---|
1438 | !OLI_CODE ! the surface temperature of a meltpond is the same as that |
---|
1439 | !OLI_CODE ! of the ice underneath (0C), and the thermodynamic surface |
---|
1440 | !OLI_CODE ! flux is the same |
---|
1441 | !OLI_CODE zdHui = max(-fsurf(i,j)*rdt_ice*zr1_rlfus, z0) |
---|
1442 | !OLI_CODE zdvice = min(zdHui*zapondn(i,j,n), zvolpn(i,j,n)) |
---|
1443 | !OLI_CODE IF (zdvice > epsi10) THEN |
---|
1444 | !OLI_CODE zvuin (i,j,n) = zdvice |
---|
1445 | !OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) - zdvice |
---|
1446 | !OLI_CODE zvolp (i,j) = zvolp (i,j) - zdvice |
---|
1447 | !OLI_CODE !fwoc(i,j) = fwoc(i,j) - zdvice |
---|
1448 | !OLI_CODE zhpondn(i,j,n)= zvolpn(i,j,n) / zapondn(i,j,n) |
---|
1449 | !OLI_CODE END IF |
---|
1450 | !OLI_CODE |
---|
1451 | !OLI_CODE END IF ! zvuin |
---|
1452 | !OLI_CODE |
---|
1453 | !OLI_CODE END DO ! jpl |
---|
1454 | !OLI_CODE |
---|
1455 | !OLI_CODE END DO ! ij |
---|
1456 | !OLI_CODE |
---|
1457 | !OLI_CODE !--------------------------------------------------------------- |
---|
1458 | !OLI_CODE ! remove ice lid if there is no liquid pond |
---|
1459 | !OLI_CODE ! zvuin may be nonzero on category jpl due to dynamics |
---|
1460 | !OLI_CODE !--------------------------------------------------------------- |
---|
1461 | !OLI_CODE |
---|
1462 | !OLI_CODE DO j = 1, jpj |
---|
1463 | !OLI_CODE DO i = 1, jpi |
---|
1464 | !OLI_CODE DO n = 1, jpl |
---|
1465 | !OLI_CODE IF (aicen(i,j,n) > epsi10 .and. zvolpn(i,j,n) < puny & |
---|
1466 | !OLI_CODE .and. zvuin (i,j,n) > epsi10) THEN |
---|
1467 | !OLI_CODE kcells(n) = kcells(n) + 1 |
---|
1468 | !OLI_CODE indxij = kcells(n) |
---|
1469 | !OLI_CODE indxii(indxij,n) = i |
---|
1470 | !OLI_CODE indxjj(indxij,n) = j |
---|
1471 | !OLI_CODE END IF |
---|
1472 | !OLI_CODE END DO |
---|
1473 | !OLI_CODE END DO ! i |
---|
1474 | !OLI_CODE END DO ! j |
---|
1475 | !OLI_CODE |
---|
1476 | !OLI_CODE DO n = 1, jpl |
---|
1477 | !OLI_CODE |
---|
1478 | !OLI_CODE IF (kcells(n) > 0) THEN |
---|
1479 | !OLI_CODE DO ij = 1, kcells(n) |
---|
1480 | !OLI_CODE i = indxii(ij,n) |
---|
1481 | !OLI_CODE j = indxjj(ij,n) |
---|
1482 | !OLI_CODE fwoc(i,j) = fwoc(i,j) + rhoic/rauw * zvuin(i,j,n) ! Completely refrozen lid goes into ocean (to be changed) |
---|
1483 | !OLI_CODE zvuin(i,j,n) = z0 |
---|
1484 | !OLI_CODE END DO ! ij |
---|
1485 | !OLI_CODE END IF |
---|
1486 | !OLI_CODE |
---|
1487 | !OLI_CODE ! reload tracers |
---|
1488 | !OLI_CODE DO j = 1, jpj |
---|
1489 | !OLI_CODE DO i = 1, jpi |
---|
1490 | !OLI_CODE IF (zapondn(i,j,n) > epsi10) THEN |
---|
1491 | !OLI_CODE h_il(i,j,n) = zvuin(i,j,n) / zapondn(i,j,n) |
---|
1492 | !OLI_CODE ELSE |
---|
1493 | !OLI_CODE zvuin(i,j,n) = z0 |
---|
1494 | !OLI_CODE h_il(i,j,n) = z0 |
---|
1495 | !OLI_CODE END IF |
---|
1496 | !OLI_CODE IF (aicen(i,j,n) > epsi10) THEN |
---|
1497 | !OLI_CODE a_ip_frac(i,j,n) = zapondn(i,j,n) / aicen(i,j,n) * & |
---|
1498 | !OLI_CODE (1.0_wp - MAX(z0, SIGN(1.0_wp, -zvolpn(i,j,n)))) |
---|
1499 | !OLI_CODE h_ip(i,j,n) = zhpondn(i,j,n) |
---|
1500 | !OLI_CODE ELSE |
---|
1501 | !OLI_CODE a_ip_frac(i,j,n) = z0 |
---|
1502 | !OLI_CODE h_ip(i,j,n) = z0 |
---|
1503 | !OLI_CODE h_il(i,j,n) = z0 |
---|
1504 | !OLI_CODE END IF |
---|
1505 | !OLI_CODE END DO ! i |
---|
1506 | !OLI_CODE END DO ! j |
---|
1507 | !OLI_CODE |
---|
1508 | !OLI_CODE END DO ! n |
---|
1509 | !OLI_CODE |
---|
1510 | !OLI_CODE END SUBROUTINE compute_mp_topo |
---|
1511 | !OLI_CODE |
---|
1512 | !OLI_CODE |
---|
1513 | !OLI_CODE SUBROUTINE pond_area(aice,vice,rhos, & |
---|
1514 | !OLI_CODE aicen, vicen, vsnon, ticen, & |
---|
1515 | !OLI_CODE salin, zvolpn, zvolp, & |
---|
1516 | !OLI_CODE zapondn,zhpondn,dvolp) |
---|
1517 | !OLI_CODE !!------------------------------------------------------------------- |
---|
1518 | !OLI_CODE !! *** ROUTINE pond_area *** |
---|
1519 | !OLI_CODE !! |
---|
1520 | !OLI_CODE !! ** Purpose : Compute melt pond area, depth and melting rates |
---|
1521 | !OLI_CODE !!------------------------------------------------------------------ |
---|
1522 | !OLI_CODE REAL (wp), INTENT(IN) :: & |
---|
1523 | !OLI_CODE aice,vice |
---|
1524 | !OLI_CODE |
---|
1525 | !OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(IN) :: & |
---|
1526 | !OLI_CODE aicen, vicen, vsnon, rhos |
---|
1527 | !OLI_CODE |
---|
1528 | !OLI_CODE REAL (wp), DIMENSION(nlay_i,jpl), INTENT(IN) :: & |
---|
1529 | !OLI_CODE ticen, salin |
---|
1530 | !OLI_CODE |
---|
1531 | !OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(INOUT) :: & |
---|
1532 | !OLI_CODE zvolpn |
---|
1533 | !OLI_CODE |
---|
1534 | !OLI_CODE REAL (wp), INTENT(INOUT) :: & |
---|
1535 | !OLI_CODE zvolp, dvolp |
---|
1536 | !OLI_CODE |
---|
1537 | !OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(OUT) :: & |
---|
1538 | !OLI_CODE zapondn, zhpondn |
---|
1539 | !OLI_CODE |
---|
1540 | !OLI_CODE INTEGER :: & |
---|
1541 | !OLI_CODE n, ns, & |
---|
1542 | !OLI_CODE m_index, & |
---|
1543 | !OLI_CODE permflag |
---|
1544 | !OLI_CODE |
---|
1545 | !OLI_CODE REAL (wp), DIMENSION(jpl) :: & |
---|
1546 | !OLI_CODE hicen, & |
---|
1547 | !OLI_CODE hsnon, & |
---|
1548 | !OLI_CODE asnon, & |
---|
1549 | !OLI_CODE alfan, & |
---|
1550 | !OLI_CODE betan, & |
---|
1551 | !OLI_CODE cum_max_vol, & |
---|
1552 | !OLI_CODE reduced_aicen |
---|
1553 | !OLI_CODE |
---|
1554 | !OLI_CODE REAL (wp), DIMENSION(0:jpl) :: & |
---|
1555 | !OLI_CODE cum_max_vol_tmp |
---|
1556 | !OLI_CODE |
---|
1557 | !OLI_CODE REAL (wp) :: & |
---|
1558 | !OLI_CODE hpond, & |
---|
1559 | !OLI_CODE drain, & |
---|
1560 | !OLI_CODE floe_weight, & |
---|
1561 | !OLI_CODE pressure_head, & |
---|
1562 | !OLI_CODE hsl_rel, & |
---|
1563 | !OLI_CODE deltah, & |
---|
1564 | !OLI_CODE perm, & |
---|
1565 | !OLI_CODE apond, & |
---|
1566 | !OLI_CODE msno |
---|
1567 | !OLI_CODE |
---|
1568 | !OLI_CODE REAL (wp), parameter :: & |
---|
1569 | !OLI_CODE viscosity = 1.79e-3_wp, & ! kinematic water viscosity in kg/m/s |
---|
1570 | !OLI_CODE z0 = 0.0_wp , & |
---|
1571 | !OLI_CODE c1 = 1.0_wp , & |
---|
1572 | !OLI_CODE p4 = 0.4_wp , & |
---|
1573 | !OLI_CODE p6 = 0.6_wp , & |
---|
1574 | !OLI_CODE epsi10 = 1.0e-11_wp |
---|
1575 | !OLI_CODE |
---|
1576 | !OLI_CODE !-----------| |
---|
1577 | !OLI_CODE ! | |
---|
1578 | !OLI_CODE ! |-----------| |
---|
1579 | !OLI_CODE !___________|___________|______________________________________sea-level |
---|
1580 | !OLI_CODE ! | | |
---|
1581 | !OLI_CODE ! | |---^--------| |
---|
1582 | !OLI_CODE ! | | | | |
---|
1583 | !OLI_CODE ! | | | |-----------| |------- |
---|
1584 | !OLI_CODE ! | | |alfan(n)| | | |
---|
1585 | !OLI_CODE ! | | | | |--------------| |
---|
1586 | !OLI_CODE ! | | | | | | |
---|
1587 | !OLI_CODE !---------------------------v------------------------------------------- |
---|
1588 | !OLI_CODE ! | | ^ | | | |
---|
1589 | !OLI_CODE ! | | | | |--------------| |
---|
1590 | !OLI_CODE ! | | |betan(n)| | | |
---|
1591 | !OLI_CODE ! | | | |-----------| |------- |
---|
1592 | !OLI_CODE ! | | | | |
---|
1593 | !OLI_CODE ! | |---v------- | |
---|
1594 | !OLI_CODE ! | | |
---|
1595 | !OLI_CODE ! |-----------| |
---|
1596 | !OLI_CODE ! | |
---|
1597 | !OLI_CODE !-----------| |
---|
1598 | !OLI_CODE |
---|
1599 | !OLI_CODE !------------------------------------------------------------------- |
---|
1600 | !OLI_CODE ! initialize |
---|
1601 | !OLI_CODE !------------------------------------------------------------------- |
---|
1602 | !OLI_CODE |
---|
1603 | !OLI_CODE DO n = 1, jpl |
---|
1604 | !OLI_CODE |
---|
1605 | !OLI_CODE zapondn(n) = z0 |
---|
1606 | !OLI_CODE zhpondn(n) = z0 |
---|
1607 | !OLI_CODE |
---|
1608 | !OLI_CODE IF (aicen(n) < epsi10) THEN |
---|
1609 | !OLI_CODE hicen(n) = z0 |
---|
1610 | !OLI_CODE hsnon(n) = z0 |
---|
1611 | !OLI_CODE reduced_aicen(n) = z0 |
---|
1612 | !OLI_CODE ELSE |
---|
1613 | !OLI_CODE hicen(n) = vicen(n) / aicen(n) |
---|
1614 | !OLI_CODE hsnon(n) = vsnon(n) / aicen(n) |
---|
1615 | !OLI_CODE reduced_aicen(n) = c1 ! n=jpl |
---|
1616 | !OLI_CODE IF (n < jpl) reduced_aicen(n) = aicen(n) & |
---|
1617 | !OLI_CODE * (-0.024_wp*hicen(n) + 0.832_wp) |
---|
1618 | !OLI_CODE asnon(n) = reduced_aicen(n) |
---|
1619 | !OLI_CODE END IF |
---|
1620 | !OLI_CODE |
---|
1621 | !OLI_CODE ! This choice for alfa and beta ignores hydrostatic equilibium of categories. |
---|
1622 | !OLI_CODE ! Hydrostatic equilibium of the entire ITD is accounted for below, assuming |
---|
1623 | !OLI_CODE ! a surface topography implied by alfa=0.6 and beta=0.4, and rigidity across all |
---|
1624 | !OLI_CODE ! categories. alfa and beta partition the ITD - they are areas not thicknesses! |
---|
1625 | !OLI_CODE ! Multiplying by hicen, alfan and betan (below) are thus volumes per unit area. |
---|
1626 | !OLI_CODE ! Here, alfa = 60% of the ice area (and since hice is constant in a category, |
---|
1627 | !OLI_CODE ! alfan = 60% of the ice volume) in each category lies above the reference line, |
---|
1628 | !OLI_CODE ! and 40% below. Note: p6 is an arbitrary choice, but alfa+beta=1 is required. |
---|
1629 | !OLI_CODE |
---|
1630 | !OLI_CODE alfan(n) = p6 * hicen(n) |
---|
1631 | !OLI_CODE betan(n) = p4 * hicen(n) |
---|
1632 | !OLI_CODE |
---|
1633 | !OLI_CODE cum_max_vol(n) = z0 |
---|
1634 | !OLI_CODE cum_max_vol_tmp(n) = z0 |
---|
1635 | !OLI_CODE |
---|
1636 | !OLI_CODE END DO ! jpl |
---|
1637 | !OLI_CODE |
---|
1638 | !OLI_CODE cum_max_vol_tmp(0) = z0 |
---|
1639 | !OLI_CODE drain = z0 |
---|
1640 | !OLI_CODE dvolp = z0 |
---|
1641 | !OLI_CODE |
---|
1642 | !OLI_CODE !-------------------------------------------------------------------------- |
---|
1643 | !OLI_CODE ! the maximum amount of water that can be contained up to each ice category |
---|
1644 | !OLI_CODE !-------------------------------------------------------------------------- |
---|
1645 | !OLI_CODE |
---|
1646 | !OLI_CODE DO n = 1, jpl-1 ! last category can not hold any volume |
---|
1647 | !OLI_CODE |
---|
1648 | !OLI_CODE IF (alfan(n+1) >= alfan(n) .and. alfan(n+1) > z0) THEN |
---|
1649 | !OLI_CODE |
---|
1650 | !OLI_CODE ! total volume in level including snow |
---|
1651 | !OLI_CODE cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1) + & |
---|
1652 | !OLI_CODE (alfan(n+1) - alfan(n)) * sum(reduced_aicen(1:n)) |
---|
1653 | !OLI_CODE |
---|
1654 | !OLI_CODE |
---|
1655 | !OLI_CODE ! subtract snow solid volumes from lower categories in current level |
---|
1656 | !OLI_CODE DO ns = 1, n |
---|
1657 | !OLI_CODE cum_max_vol_tmp(n) = cum_max_vol_tmp(n) & |
---|
1658 | !OLI_CODE - rhos(ns)/rauw * & ! fraction of snow that is occupied by solid ??rauw |
---|
1659 | !OLI_CODE asnon(ns) * & ! area of snow from that category |
---|
1660 | !OLI_CODE max(min(hsnon(ns)+alfan(ns)-alfan(n), alfan(n+1)- & |
---|
1661 | !OLI_CODE alfan(n)), z0) |
---|
1662 | !OLI_CODE ! thickness of snow from ns layer in n layer |
---|
1663 | !OLI_CODE END DO |
---|
1664 | !OLI_CODE |
---|
1665 | !OLI_CODE ELSE ! assume higher categories unoccupied |
---|
1666 | !OLI_CODE cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1) |
---|
1667 | !OLI_CODE END IF |
---|
1668 | !OLI_CODE !IF (cum_max_vol_tmp(n) < z0) THEN |
---|
1669 | !OLI_CODE ! call abort_ice('negative melt pond volume') |
---|
1670 | !OLI_CODE !END IF |
---|
1671 | !OLI_CODE END DO |
---|
1672 | !OLI_CODE cum_max_vol_tmp(jpl) = cum_max_vol_tmp(jpl-1) ! last category holds no volume |
---|
1673 | !OLI_CODE cum_max_vol (1:jpl) = cum_max_vol_tmp(1:jpl) |
---|
1674 | !OLI_CODE |
---|
1675 | !OLI_CODE !---------------------------------------------------------------- |
---|
1676 | !OLI_CODE ! is there more meltwater than can be held in the floe? |
---|
1677 | !OLI_CODE !---------------------------------------------------------------- |
---|
1678 | !OLI_CODE IF (zvolp >= cum_max_vol(jpl)) THEN |
---|
1679 | !OLI_CODE drain = zvolp - cum_max_vol(jpl) + epsi10 |
---|
1680 | !OLI_CODE zvolp = zvolp - drain |
---|
1681 | !OLI_CODE dvolp = drain |
---|
1682 | !OLI_CODE IF (zvolp < epsi10) THEN |
---|
1683 | !OLI_CODE dvolp = dvolp + zvolp |
---|
1684 | !OLI_CODE zvolp = z0 |
---|
1685 | !OLI_CODE END IF |
---|
1686 | !OLI_CODE END IF |
---|
1687 | !OLI_CODE |
---|
1688 | !OLI_CODE ! height and area corresponding to the remaining volume |
---|
1689 | !OLI_CODE |
---|
1690 | !OLI_CODE call calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, & |
---|
1691 | !OLI_CODE zvolp, cum_max_vol, hpond, m_index) |
---|
1692 | !OLI_CODE |
---|
1693 | !OLI_CODE DO n=1, m_index |
---|
1694 | !OLI_CODE zhpondn(n) = hpond - alfan(n) + alfan(1) |
---|
1695 | !OLI_CODE zapondn(n) = reduced_aicen(n) |
---|
1696 | !OLI_CODE END DO |
---|
1697 | !OLI_CODE apond = sum(zapondn(1:m_index)) |
---|
1698 | !OLI_CODE |
---|
1699 | !OLI_CODE !------------------------------------------------------------------------ |
---|
1700 | !OLI_CODE ! drainage due to ice permeability - Darcy's law |
---|
1701 | !OLI_CODE !------------------------------------------------------------------------ |
---|
1702 | !OLI_CODE |
---|
1703 | !OLI_CODE ! sea water level |
---|
1704 | !OLI_CODE msno = z0 |
---|
1705 | !OLI_CODE DO n=1,jpl |
---|
1706 | !OLI_CODE msno = msno + vsnon(n) * rhos(n) |
---|
1707 | !OLI_CODE END DO |
---|
1708 | !OLI_CODE floe_weight = (msno + rhoic*vice + rau0*zvolp) / aice |
---|
1709 | !OLI_CODE hsl_rel = floe_weight / rau0 & |
---|
1710 | !OLI_CODE - ((sum(betan(:)*aicen(:))/aice) + alfan(1)) |
---|
1711 | !OLI_CODE |
---|
1712 | !OLI_CODE deltah = hpond - hsl_rel |
---|
1713 | !OLI_CODE pressure_head = grav * rau0 * max(deltah, z0) |
---|
1714 | !OLI_CODE |
---|
1715 | !OLI_CODE ! drain IF ice is permeable |
---|
1716 | !OLI_CODE permflag = 0 |
---|
1717 | !OLI_CODE IF (pressure_head > z0) THEN |
---|
1718 | !OLI_CODE DO n = 1, jpl-1 |
---|
1719 | !OLI_CODE IF (hicen(n) /= z0) THEN |
---|
1720 | !OLI_CODE CALL permeability_phi(ticen(:,n), salin(:,n), vicen(n), perm) |
---|
1721 | !OLI_CODE IF (perm > z0) permflag = 1 |
---|
1722 | !OLI_CODE drain = perm*zapondn(n)*pressure_head*rdt_ice / & |
---|
1723 | !OLI_CODE (viscosity*hicen(n)) |
---|
1724 | !OLI_CODE dvolp = dvolp + min(drain, zvolp) |
---|
1725 | !OLI_CODE zvolp = max(zvolp - drain, z0) |
---|
1726 | !OLI_CODE IF (zvolp < epsi10) THEN |
---|
1727 | !OLI_CODE dvolp = dvolp + zvolp |
---|
1728 | !OLI_CODE zvolp = z0 |
---|
1729 | !OLI_CODE END IF |
---|
1730 | !OLI_CODE END IF |
---|
1731 | !OLI_CODE END DO |
---|
1732 | !OLI_CODE |
---|
1733 | !OLI_CODE ! adjust melt pond DIMENSIONs |
---|
1734 | !OLI_CODE IF (permflag > 0) THEN |
---|
1735 | !OLI_CODE ! recompute pond depth |
---|
1736 | !OLI_CODE CALL calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, & |
---|
1737 | !OLI_CODE zvolp, cum_max_vol, hpond, m_index) |
---|
1738 | !OLI_CODE DO n=1, m_index |
---|
1739 | !OLI_CODE zhpondn(n) = hpond - alfan(n) + alfan(1) |
---|
1740 | !OLI_CODE zapondn(n) = reduced_aicen(n) |
---|
1741 | !OLI_CODE END DO |
---|
1742 | !OLI_CODE apond = sum(zapondn(1:m_index)) |
---|
1743 | !OLI_CODE END IF |
---|
1744 | !OLI_CODE END IF ! pressure_head |
---|
1745 | !OLI_CODE |
---|
1746 | !OLI_CODE !------------------------------------------------------------------------ |
---|
1747 | !OLI_CODE ! total melt pond volume in category DOes not include snow volume |
---|
1748 | !OLI_CODE ! snow in melt ponds is not melted |
---|
1749 | !OLI_CODE !------------------------------------------------------------------------ |
---|
1750 | !OLI_CODE |
---|
1751 | !OLI_CODE ! Calculate pond volume for lower categories |
---|
1752 | !OLI_CODE DO n=1,m_index-1 |
---|
1753 | !OLI_CODE zvolpn(n) = zapondn(n) * zhpondn(n) & |
---|
1754 | !OLI_CODE - (rhos(n)/rauw) * asnon(n) * min(hsnon(n), zhpondn(n))! |
---|
1755 | !OLI_CODE END DO |
---|
1756 | !OLI_CODE |
---|
1757 | !OLI_CODE ! Calculate pond volume for highest category = remaining pond volume |
---|
1758 | !OLI_CODE IF (m_index == 1) zvolpn(m_index) = zvolp |
---|
1759 | !OLI_CODE IF (m_index > 1) THEN |
---|
1760 | !OLI_CODE IF (zvolp > sum(zvolpn(1:m_index-1))) THEN |
---|
1761 | !OLI_CODE zvolpn(m_index) = zvolp - sum(zvolpn(1:m_index-1)) |
---|
1762 | !OLI_CODE ELSE |
---|
1763 | !OLI_CODE zvolpn(m_index) = z0 |
---|
1764 | !OLI_CODE zhpondn(m_index) = z0 |
---|
1765 | !OLI_CODE zapondn(m_index) = z0 |
---|
1766 | !OLI_CODE ! If remaining pond volume is negative reduce pond volume of |
---|
1767 | !OLI_CODE ! lower category |
---|
1768 | !OLI_CODE IF (zvolp+epsi10 < sum(zvolpn(1:m_index-1))) & |
---|
1769 | !OLI_CODE zvolpn(m_index-1) = zvolpn(m_index-1)-sum(zvolpn(1:m_index-1))& |
---|
1770 | !OLI_CODE + zvolp |
---|
1771 | !OLI_CODE END IF |
---|
1772 | !OLI_CODE END IF |
---|
1773 | !OLI_CODE |
---|
1774 | !OLI_CODE DO n=1,m_index |
---|
1775 | !OLI_CODE IF (zapondn(n) > epsi10) THEN |
---|
1776 | !OLI_CODE zhpondn(n) = zvolpn(n) / zapondn(n) |
---|
1777 | !OLI_CODE ELSE |
---|
1778 | !OLI_CODE dvolp = dvolp + zvolpn(n) |
---|
1779 | !OLI_CODE zhpondn(n) = z0 |
---|
1780 | !OLI_CODE zvolpn(n) = z0 |
---|
1781 | !OLI_CODE zapondn(n) = z0 |
---|
1782 | !OLI_CODE end IF |
---|
1783 | !OLI_CODE END DO |
---|
1784 | !OLI_CODE DO n = m_index+1, jpl |
---|
1785 | !OLI_CODE zhpondn(n) = z0 |
---|
1786 | !OLI_CODE zapondn(n) = z0 |
---|
1787 | !OLI_CODE zvolpn (n) = z0 |
---|
1788 | !OLI_CODE END DO |
---|
1789 | !OLI_CODE |
---|
1790 | !OLI_CODE END SUBROUTINE pond_area |
---|
1791 | !OLI_CODE |
---|
1792 | !OLI_CODE |
---|
1793 | !OLI_CODE SUBROUTINE calc_hpond(aicen, asnon, hsnon, rhos, alfan, & |
---|
1794 | !OLI_CODE zvolp, cum_max_vol, & |
---|
1795 | !OLI_CODE hpond, m_index) |
---|
1796 | !OLI_CODE !!------------------------------------------------------------------- |
---|
1797 | !OLI_CODE !! *** ROUTINE calc_hpond *** |
---|
1798 | !OLI_CODE !! |
---|
1799 | !OLI_CODE !! ** Purpose : Compute melt pond depth |
---|
1800 | !OLI_CODE !!------------------------------------------------------------------- |
---|
1801 | !OLI_CODE |
---|
1802 | !OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(IN) :: & |
---|
1803 | !OLI_CODE aicen, & |
---|
1804 | !OLI_CODE asnon, & |
---|
1805 | !OLI_CODE hsnon, & |
---|
1806 | !OLI_CODE rhos, & |
---|
1807 | !OLI_CODE alfan, & |
---|
1808 | !OLI_CODE cum_max_vol |
---|
1809 | !OLI_CODE |
---|
1810 | !OLI_CODE REAL (wp), INTENT(IN) :: & |
---|
1811 | !OLI_CODE zvolp |
---|
1812 | !OLI_CODE |
---|
1813 | !OLI_CODE REAL (wp), INTENT(OUT) :: & |
---|
1814 | !OLI_CODE hpond |
---|
1815 | !OLI_CODE |
---|
1816 | !OLI_CODE INTEGER, INTENT(OUT) :: & |
---|
1817 | !OLI_CODE m_index |
---|
1818 | !OLI_CODE |
---|
1819 | !OLI_CODE INTEGER :: n, ns |
---|
1820 | !OLI_CODE |
---|
1821 | !OLI_CODE REAL (wp), DIMENSION(0:jpl+1) :: & |
---|
1822 | !OLI_CODE hitl, & |
---|
1823 | !OLI_CODE aicetl |
---|
1824 | !OLI_CODE |
---|
1825 | !OLI_CODE REAL (wp) :: & |
---|
1826 | !OLI_CODE rem_vol, & |
---|
1827 | !OLI_CODE area, & |
---|
1828 | !OLI_CODE vol, & |
---|
1829 | !OLI_CODE tmp, & |
---|
1830 | !OLI_CODE z0 = 0.0_wp, & |
---|
1831 | !OLI_CODE epsi10 = 1.0e-11_wp |
---|
1832 | !OLI_CODE |
---|
1833 | !OLI_CODE !---------------------------------------------------------------- |
---|
1834 | !OLI_CODE ! hpond is zero if zvolp is zero - have we fully drained? |
---|
1835 | !OLI_CODE !---------------------------------------------------------------- |
---|
1836 | !OLI_CODE |
---|
1837 | !OLI_CODE IF (zvolp < epsi10) THEN |
---|
1838 | !OLI_CODE hpond = z0 |
---|
1839 | !OLI_CODE m_index = 0 |
---|
1840 | !OLI_CODE ELSE |
---|
1841 | !OLI_CODE |
---|
1842 | !OLI_CODE !---------------------------------------------------------------- |
---|
1843 | !OLI_CODE ! Calculate the category where water fills up to |
---|
1844 | !OLI_CODE !---------------------------------------------------------------- |
---|
1845 | !OLI_CODE |
---|
1846 | !OLI_CODE !----------| |
---|
1847 | !OLI_CODE ! | |
---|
1848 | !OLI_CODE ! | |
---|
1849 | !OLI_CODE ! |----------| -- -- |
---|
1850 | !OLI_CODE !__________|__________|_________________________________________ ^ |
---|
1851 | !OLI_CODE ! | | rem_vol ^ | Semi-filled |
---|
1852 | !OLI_CODE ! | |----------|-- -- -- - ---|-- ---- -- -- --v layer |
---|
1853 | !OLI_CODE ! | | | | |
---|
1854 | !OLI_CODE ! | | | |hpond |
---|
1855 | !OLI_CODE ! | | |----------| | |------- |
---|
1856 | !OLI_CODE ! | | | | | | |
---|
1857 | !OLI_CODE ! | | | |---v-----| |
---|
1858 | !OLI_CODE ! | | m_index | | | |
---|
1859 | !OLI_CODE !------------------------------------------------------------- |
---|
1860 | !OLI_CODE |
---|
1861 | !OLI_CODE m_index = 0 ! 1:m_index categories have water in them |
---|
1862 | !OLI_CODE DO n = 1, jpl |
---|
1863 | !OLI_CODE IF (zvolp <= cum_max_vol(n)) THEN |
---|
1864 | !OLI_CODE m_index = n |
---|
1865 | !OLI_CODE IF (n == 1) THEN |
---|
1866 | !OLI_CODE rem_vol = zvolp |
---|
1867 | !OLI_CODE ELSE |
---|
1868 | !OLI_CODE rem_vol = zvolp - cum_max_vol(n-1) |
---|
1869 | !OLI_CODE END IF |
---|
1870 | !OLI_CODE exit ! to break out of the loop |
---|
1871 | !OLI_CODE END IF |
---|
1872 | !OLI_CODE END DO |
---|
1873 | !OLI_CODE m_index = min(jpl-1, m_index) |
---|
1874 | !OLI_CODE |
---|
1875 | !OLI_CODE !---------------------------------------------------------------- |
---|
1876 | !OLI_CODE ! semi-filled layer may have m_index different snow in it |
---|
1877 | !OLI_CODE !---------------------------------------------------------------- |
---|
1878 | !OLI_CODE |
---|
1879 | !OLI_CODE !----------------------------------------------------------- ^ |
---|
1880 | !OLI_CODE ! | alfan(m_index+1) |
---|
1881 | !OLI_CODE ! | |
---|
1882 | !OLI_CODE !hitl(3)--> |----------| | |
---|
1883 | !OLI_CODE !hitl(2)--> |------------| * * * * *| | |
---|
1884 | !OLI_CODE !hitl(1)--> |----------|* * * * * * |* * * * * | | |
---|
1885 | !OLI_CODE !hitl(0)-->------------------------------------------------- | ^ |
---|
1886 | !OLI_CODE ! various snow from lower categories | |alfa(m_index) |
---|
1887 | !OLI_CODE |
---|
1888 | !OLI_CODE ! hitl - heights of the snow layers from thinner and current categories |
---|
1889 | !OLI_CODE ! aicetl - area of each snow depth in this layer |
---|
1890 | !OLI_CODE |
---|
1891 | !OLI_CODE hitl(:) = z0 |
---|
1892 | !OLI_CODE aicetl(:) = z0 |
---|
1893 | !OLI_CODE DO n = 1, m_index |
---|
1894 | !OLI_CODE hitl(n) = max(min(hsnon(n) + alfan(n) - alfan(m_index), & |
---|
1895 | !OLI_CODE alfan(m_index+1) - alfan(m_index)), z0) |
---|
1896 | !OLI_CODE aicetl(n) = asnon(n) |
---|
1897 | !OLI_CODE |
---|
1898 | !OLI_CODE aicetl(0) = aicetl(0) + (aicen(n) - asnon(n)) |
---|
1899 | !OLI_CODE END DO |
---|
1900 | !OLI_CODE hitl(m_index+1) = alfan(m_index+1) - alfan(m_index) |
---|
1901 | !OLI_CODE aicetl(m_index+1) = z0 |
---|
1902 | !OLI_CODE |
---|
1903 | !OLI_CODE !---------------------------------------------------------------- |
---|
1904 | !OLI_CODE ! reorder array according to hitl |
---|
1905 | !OLI_CODE ! snow heights not necessarily in height order |
---|
1906 | !OLI_CODE !---------------------------------------------------------------- |
---|
1907 | !OLI_CODE |
---|
1908 | !OLI_CODE DO ns = 1, m_index+1 |
---|
1909 | !OLI_CODE DO n = 0, m_index - ns + 1 |
---|
1910 | !OLI_CODE IF (hitl(n) > hitl(n+1)) THEN ! swap order |
---|
1911 | !OLI_CODE tmp = hitl(n) |
---|
1912 | !OLI_CODE hitl(n) = hitl(n+1) |
---|
1913 | !OLI_CODE hitl(n+1) = tmp |
---|
1914 | !OLI_CODE tmp = aicetl(n) |
---|
1915 | !OLI_CODE aicetl(n) = aicetl(n+1) |
---|
1916 | !OLI_CODE aicetl(n+1) = tmp |
---|
1917 | !OLI_CODE END IF |
---|
1918 | !OLI_CODE END DO |
---|
1919 | !OLI_CODE END DO |
---|
1920 | !OLI_CODE |
---|
1921 | !OLI_CODE !---------------------------------------------------------------- |
---|
1922 | !OLI_CODE ! divide semi-filled layer into set of sublayers each vertically homogenous |
---|
1923 | !OLI_CODE !---------------------------------------------------------------- |
---|
1924 | !OLI_CODE |
---|
1925 | !OLI_CODE !hitl(3)---------------------------------------------------------------- |
---|
1926 | !OLI_CODE ! | * * * * * * * * |
---|
1927 | !OLI_CODE ! |* * * * * * * * * |
---|
1928 | !OLI_CODE !hitl(2)---------------------------------------------------------------- |
---|
1929 | !OLI_CODE ! | * * * * * * * * | * * * * * * * * |
---|
1930 | !OLI_CODE ! |* * * * * * * * * |* * * * * * * * * |
---|
1931 | !OLI_CODE !hitl(1)---------------------------------------------------------------- |
---|
1932 | !OLI_CODE ! | * * * * * * * * | * * * * * * * * | * * * * * * * * |
---|
1933 | !OLI_CODE ! |* * * * * * * * * |* * * * * * * * * |* * * * * * * * * |
---|
1934 | !OLI_CODE !hitl(0)---------------------------------------------------------------- |
---|
1935 | !OLI_CODE ! aicetl(0) aicetl(1) aicetl(2) aicetl(3) |
---|
1936 | !OLI_CODE |
---|
1937 | !OLI_CODE ! move up over layers incrementing volume |
---|
1938 | !OLI_CODE DO n = 1, m_index+1 |
---|
1939 | !OLI_CODE |
---|
1940 | !OLI_CODE area = sum(aicetl(:)) - & ! total area of sub-layer |
---|
1941 | !OLI_CODE (rhos(n)/rau0) * sum(aicetl(n:jpl+1)) ! area of sub-layer occupied by snow |
---|
1942 | !OLI_CODE |
---|
1943 | !OLI_CODE vol = (hitl(n) - hitl(n-1)) * area ! thickness of sub-layer times area |
---|
1944 | !OLI_CODE |
---|
1945 | !OLI_CODE IF (vol >= rem_vol) THEN ! have reached the sub-layer with the depth within |
---|
1946 | !OLI_CODE hpond = rem_vol / area + hitl(n-1) + alfan(m_index) - & |
---|
1947 | !OLI_CODE alfan(1) |
---|
1948 | !OLI_CODE exit |
---|
1949 | !OLI_CODE ELSE ! still in sub-layer below the sub-layer with the depth |
---|
1950 | !OLI_CODE rem_vol = rem_vol - vol |
---|
1951 | !OLI_CODE END IF |
---|
1952 | !OLI_CODE |
---|
1953 | !OLI_CODE END DO |
---|
1954 | !OLI_CODE |
---|
1955 | !OLI_CODE END IF |
---|
1956 | !OLI_CODE |
---|
1957 | !OLI_CODE END SUBROUTINE calc_hpond |
---|
1958 | !OLI_CODE |
---|
1959 | !OLI_CODE |
---|
1960 | !OLI_CODE SUBROUTINE permeability_phi(ticen, salin, vicen, perm) |
---|
1961 | !OLI_CODE !!------------------------------------------------------------------- |
---|
1962 | !OLI_CODE !! *** ROUTINE permeability_phi *** |
---|
1963 | !OLI_CODE !! |
---|
1964 | !OLI_CODE !! ** Purpose : Determine the liquid fraction of brine in the ice |
---|
1965 | !OLI_CODE !! and its permeability |
---|
1966 | !OLI_CODE !!------------------------------------------------------------------- |
---|
1967 | !OLI_CODE REAL (wp), DIMENSION(nlay_i), INTENT(IN) :: & |
---|
1968 | !OLI_CODE ticen, & ! energy of melting for each ice layer (J/m2) |
---|
1969 | !OLI_CODE salin |
---|
1970 | !OLI_CODE |
---|
1971 | !OLI_CODE REAL (wp), INTENT(IN) :: & |
---|
1972 | !OLI_CODE vicen ! ice volume |
---|
1973 | !OLI_CODE |
---|
1974 | !OLI_CODE REAL (wp), INTENT(OUT) :: & |
---|
1975 | !OLI_CODE perm ! permeability |
---|
1976 | !OLI_CODE |
---|
1977 | !OLI_CODE REAL (wp) :: & |
---|
1978 | !OLI_CODE Sbr ! brine salinity |
---|
1979 | !OLI_CODE |
---|
1980 | !OLI_CODE REAL (wp), DIMENSION(nlay_i) :: & |
---|
1981 | !OLI_CODE Tin, & ! ice temperature |
---|
1982 | !OLI_CODE phi ! liquid fraction |
---|
1983 | !OLI_CODE |
---|
1984 | !OLI_CODE INTEGER :: k |
---|
1985 | !OLI_CODE |
---|
1986 | !OLI_CODE REAL (wp) :: & |
---|
1987 | !OLI_CODE c2 = 2.0_wp |
---|
1988 | !OLI_CODE |
---|
1989 | !OLI_CODE !----------------------------------------------------------------- |
---|
1990 | !OLI_CODE ! Compute ice temperatures from enthalpies using quadratic formula |
---|
1991 | !OLI_CODE !----------------------------------------------------------------- |
---|
1992 | !OLI_CODE |
---|
1993 | !OLI_CODE DO k = 1,nlay_i |
---|
1994 | !OLI_CODE Tin(k) = ticen(k) |
---|
1995 | !OLI_CODE END DO |
---|
1996 | !OLI_CODE |
---|
1997 | !OLI_CODE !----------------------------------------------------------------- |
---|
1998 | !OLI_CODE ! brine salinity and liquid fraction |
---|
1999 | !OLI_CODE !----------------------------------------------------------------- |
---|
2000 | !OLI_CODE |
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2001 | !OLI_CODE IF (maxval(Tin-rtt) <= -c2) THEN |
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2002 | !OLI_CODE |
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2003 | !OLI_CODE DO k = 1,nlay_i |
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2004 | !OLI_CODE Sbr = - 1.2_wp & |
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2005 | !OLI_CODE -21.8_wp * (Tin(k)-rtt) & |
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2006 | !OLI_CODE - 0.919_wp * (Tin(k)-rtt)**2 & |
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2007 | !OLI_CODE - 0.01878_wp * (Tin(k)-rtt)**3 |
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2008 | !OLI_CODE phi(k) = salin(k)/Sbr ! liquid fraction |
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2009 | !OLI_CODE END DO ! k |
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2010 | !OLI_CODE |
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2011 | !OLI_CODE ELSE |
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2012 | !OLI_CODE |
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2013 | !OLI_CODE DO k = 1,nlay_i |
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2014 | !OLI_CODE Sbr = -17.6_wp * (Tin(k)-rtt) & |
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2015 | !OLI_CODE - 0.389_wp * (Tin(k)-rtt)**2 & |
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2016 | !OLI_CODE - 0.00362_wp* (Tin(k)-rtt)**3 |
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2017 | !OLI_CODE phi(k) = salin(k)/Sbr ! liquid fraction |
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2018 | !OLI_CODE END DO |
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2019 | !OLI_CODE |
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2020 | !OLI_CODE END IF |
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2021 | !OLI_CODE |
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2022 | !OLI_CODE !----------------------------------------------------------------- |
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2023 | !OLI_CODE ! permeability |
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2024 | !OLI_CODE !----------------------------------------------------------------- |
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2025 | !OLI_CODE |
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2026 | !OLI_CODE perm = 3.0e-08_wp * (minval(phi))**3 |
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2027 | !OLI_CODE |
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2028 | !OLI_CODE END SUBROUTINE permeability_phi |
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2029 | !OLI_CODE |
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2030 | !OLI_CODE #else |
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2031 | !OLI_CODE !!---------------------------------------------------------------------- |
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2032 | !OLI_CODE !! Default option Dummy Module No LIM-3 sea-ice model |
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2033 | !OLI_CODE !!---------------------------------------------------------------------- |
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2034 | !OLI_CODE CONTAINS |
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2035 | !OLI_CODE SUBROUTINE lim_mp_init ! Empty routine |
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2036 | !OLI_CODE END SUBROUTINE lim_mp_init |
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2037 | !OLI_CODE SUBROUTINE lim_mp ! Empty routine |
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2038 | !OLI_CODE END SUBROUTINE lim_mp |
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2039 | !OLI_CODE SUBROUTINE compute_mp_topo ! Empty routine |
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2040 | !OLI_CODE END SUBROUTINE compute_mp_topo |
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2041 | !OLI_CODE SUBROUTINE pond_area ! Empty routine |
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2042 | !OLI_CODE END SUBROUTINE pond_area |
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2043 | !OLI_CODE SUBROUTINE calc_hpond ! Empty routine |
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2044 | !OLI_CODE END SUBROUTINE calc_hpond |
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2045 | !OLI_CODE SUBROUTINE permeability_phy ! Empty routine |
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2046 | !OLI_CODE END SUBROUTINE permeability_phy |
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2047 | !OLI_CODE #endif |
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2048 | !OLI_CODE !!====================================================================== |
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2049 | !OLI_CODE END MODULE limmp_topo |
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2050 | !OLI_CODE |
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2051 | #else |
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2052 | !!---------------------------------------------------------------------- |
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2053 | !! Default option Empty module NO LIM sea-ice model |
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2054 | !!---------------------------------------------------------------------- |
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2055 | CONTAINS |
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2056 | SUBROUTINE lim_mp_init ! Empty routine |
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2057 | END SUBROUTINE lim_mp_init |
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2058 | SUBROUTINE lim_mp ! Empty routine |
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2059 | END SUBROUTINE lim_mp |
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2060 | SUBROUTINE lim_mp_topo ! Empty routine |
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2061 | END SUBROUTINE lim_mp_topo |
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2062 | SUBROUTINE lim_mp_cesm ! Empty routine |
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2063 | END SUBROUTINE lim_mp_cesm |
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2064 | SUBROUTINE lim_mp_area ! Empty routine |
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2065 | END SUBROUTINE lim_mp_area |
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2066 | SUBROUTINE lim_mp_perm ! Empty routine |
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2067 | END SUBROUTINE lim_mp_perm |
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2068 | #endif |
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2069 | |
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2070 | !!====================================================================== |
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2071 | END MODULE limmp |
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