1 | MODULE glaciers_mod |
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2 | |
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3 | implicit none |
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4 | |
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5 | ! Flags for ice management |
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6 | logical :: h2oice_flow ! True by default, to compute H2O ice flow. Read in "run_PEM.def" |
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7 | logical :: co2ice_flow ! True by default, to compute CO2 ice flow. Read in "run_PEM.def" |
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8 | logical :: metam_h2oice ! False by default, to compute H2O ice metamorphism. Read in "run_PEM.def" |
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9 | logical :: metam_co2ice ! False by default, to compute CO2 ice metamorphism. Read in "run_PEM.def" |
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10 | |
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11 | ! Thresholds for ice management |
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12 | real, save :: inf_h2oice_threshold ! To consider the amount of H2O ice as an infinite reservoir [kg.m-2] |
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13 | real, save :: metam_h2oice_threshold ! To consider frost is becoming perennial H2O ice [kg.m-2] |
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14 | real, save :: metam_co2ice_threshold ! To consider frost is becoming perennial CO2 ice [kg.m-2] |
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15 | |
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16 | !======================================================================= |
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17 | contains |
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18 | !======================================================================= |
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19 | |
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20 | SUBROUTINE flow_co2glaciers(timelen,ngrid,nslope,iflat,subslope_dist,def_slope_mean,vmr_co2_PEM,ps_PCM,global_avg_ps_PCM,global_avg_ps_PEM,co2ice,flag_co2flow,flag_co2flow_mesh) |
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21 | |
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22 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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23 | !!! |
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24 | !!! Purpose: Main for CO2 glaciers evolution: compute maximum thickness, and do |
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25 | !!! the ice transfer |
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26 | !!! |
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27 | !!! |
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28 | !!! Author: LL |
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29 | !!! |
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30 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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31 | |
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32 | implicit none |
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33 | |
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34 | ! Inputs: |
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35 | !-------- |
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36 | integer, intent(in) :: timelen, ngrid, nslope, iflat ! number of time sample, physical points, subslopes, index of the flat subslope |
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37 | real, dimension(ngrid,nslope), intent(in) :: subslope_dist ! Physical points x Slopes: Distribution of the subgrid slopes |
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38 | real, dimension(ngrid), intent(in) :: def_slope_mean ! Physical points: values of the sub grid slope angles |
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39 | real, dimension(ngrid,timelen), intent(in) :: vmr_co2_PEM ! Physical x Time field : VMR of co2 in the first layer [mol/mol] |
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40 | real, dimension(ngrid,timelen), intent(in) :: ps_PCM ! Physical x Time field: surface pressure given by the PCM [Pa] |
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41 | real, intent(in) :: global_avg_ps_PCM ! Global averaged surface pressure from the PCM [Pa] |
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42 | real, intent(in) :: global_avg_ps_PEM ! global averaged surface pressure during the PEM iteration [Pa] |
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43 | |
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44 | ! Ouputs: |
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45 | !-------- |
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46 | real, dimension(ngrid,nslope), intent(inout) :: co2ice ! Physical x Slope field: co2 ice on the subgrid slopes [kg/m^2] |
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47 | real, dimension(ngrid,nslope), intent(inout) :: flag_co2flow ! flag to see if there is flow on the subgrid slopes |
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48 | real, dimension(ngrid), intent(inout) :: flag_co2flow_mesh ! same but within the mesh |
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49 | ! Local |
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50 | !------ |
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51 | real, dimension(ngrid,nslope) :: Tcond ! Physical field: CO2 condensation temperature [K] |
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52 | real, dimension(ngrid,nslope) :: hmax ! Physical x Slope field: maximum thickness for co2 glacier before flow |
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53 | |
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54 | write(*,*) "Flow of CO2 glaciers" |
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55 | call computeTcondCO2(timelen,ngrid,nslope,vmr_co2_PEM,ps_PCM,global_avg_ps_PCM,global_avg_ps_PEM,Tcond) |
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56 | call compute_hmaxglaciers(ngrid,nslope,iflat,def_slope_mean,Tcond,"co2",hmax) |
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57 | call transfer_ice_duringflow(ngrid,nslope,iflat, subslope_dist,def_slope_mean,hmax,Tcond,"co2",co2ice,flag_co2flow,flag_co2flow_mesh) |
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58 | |
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59 | END SUBROUTINE flow_co2glaciers |
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60 | |
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61 | !======================================================================= |
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62 | |
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63 | SUBROUTINE flow_h2oglaciers(timelen,ngrid,nslope,iflat,subslope_dist,def_slope_mean,Tice,h2oice,flag_h2oflow,flag_h2oflow_mesh) |
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64 | |
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65 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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66 | !!! |
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67 | !!! Purpose: Main for H2O glaciers evolution: compute maximum thickness, and do |
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68 | !!! the ice transfer |
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69 | !!! |
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70 | !!! |
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71 | !!! Author: LL |
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72 | !!! |
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73 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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74 | |
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75 | implicit none |
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76 | |
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77 | ! arguments |
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78 | ! --------- |
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79 | |
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80 | ! Inputs: |
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81 | integer, intent(in) :: timelen, ngrid, nslope, iflat ! number of time sample, physical points, subslopes, index of the flat subslope |
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82 | real, dimension(ngrid,nslope), intent(in) :: subslope_dist ! Physical points x Slopes : Distribution of the subgrid slopes |
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83 | real, dimension(ngrid), intent(in) :: def_slope_mean ! Slopes: values of the sub grid slope angles |
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84 | real, dimension(ngrid,nslope), intent(in) :: Tice ! Ice Temperature [K] |
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85 | ! Ouputs: |
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86 | real, dimension(ngrid,nslope), intent(inout) :: h2oice ! Physical x Slope field: co2 ice on the subgrid slopes [kg/m^2] |
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87 | real, dimension(ngrid,nslope), intent(inout) :: flag_h2oflow ! flag to see if there is flow on the subgrid slopes |
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88 | real, dimension(ngrid), intent(inout) :: flag_h2oflow_mesh ! same but within the mesh |
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89 | ! Local |
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90 | real, dimension(ngrid,nslope) :: hmax ! Physical x Slope field: maximum thickness for co2 glacier before flow |
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91 | |
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92 | write(*,*) "Flow of H2O glaciers" |
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93 | call compute_hmaxglaciers(ngrid,nslope,iflat,def_slope_mean,Tice,"h2o",hmax) |
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94 | call transfer_ice_duringflow(ngrid,nslope,iflat, subslope_dist,def_slope_mean,hmax,Tice,"h2o",h2oice,flag_h2oflow,flag_h2oflow_mesh) |
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95 | |
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96 | END SUBROUTINE flow_h2oglaciers |
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97 | |
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98 | !======================================================================= |
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99 | |
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100 | SUBROUTINE compute_hmaxglaciers(ngrid,nslope,iflat,def_slope_mean,Tice,name_ice,hmax) |
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101 | |
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102 | use ice_table_mod, only: rho_ice |
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103 | use abort_pem_mod, only: abort_pem |
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104 | #ifndef CPP_STD |
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105 | use comcstfi_h, only: pi, g |
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106 | #else |
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107 | use comcstfi_mod, only: pi, g |
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108 | #endif |
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109 | |
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110 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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111 | !!! |
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112 | !!! Purpose: Compute the maximum thickness of CO2 and H2O glaciers given a slope angle before initating flow |
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113 | !!! |
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114 | !!! Author: LL,based on work by A.Grau Galofre (LPG) and Isaac Smith (JGR Planets 2022) |
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115 | !!! |
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116 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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117 | |
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118 | implicit none |
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119 | |
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120 | ! Inputs |
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121 | ! ------ |
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122 | integer, intent(in) :: ngrid, nslope ! # of grid points and subslopes |
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123 | integer, intent(in) :: iflat ! index of the flat subslope |
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124 | real, dimension(nslope), intent(in) :: def_slope_mean ! Slope field: Values of the subgrid slope angles [deg] |
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125 | real, dimension(ngrid,nslope), intent(in) :: Tice ! Physical field: ice temperature [K] |
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126 | character(3), intent(in) :: name_ice ! Nature of ice |
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127 | ! Outputs |
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128 | ! ------- |
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129 | real, dimension(ngrid,nslope), intent(out) :: hmax ! Physical grid x Slope field: maximum thickness before flaw [m] |
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130 | ! Local |
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131 | ! ----- |
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132 | real :: tau_d ! characteristic basal drag, understood as the stress that an ice mass flowing under its weight balanced by viscosity. Value obtained from I.Smith |
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133 | integer :: ig, islope ! loop variables |
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134 | real :: slo_angle |
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135 | |
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136 | select case (trim(adjustl(name_ice))) |
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137 | case('h2o') |
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138 | tau_d = 1.e5 |
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139 | case('co2') |
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140 | tau_d = 5.e3 |
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141 | case default |
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142 | call abort_pem("compute_hmaxglaciers","Type of ice not known!",1) |
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143 | end select |
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144 | |
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145 | do ig = 1,ngrid |
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146 | do islope = 1,nslope |
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147 | if (islope == iflat) then |
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148 | hmax(ig,islope) = 1.e8 |
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149 | else |
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150 | slo_angle = abs(def_slope_mean(islope)*pi/180.) |
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151 | hmax(ig,islope) = tau_d/(rho_ice(Tice(ig,islope),name_ice)*g*slo_angle) |
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152 | endif |
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153 | enddo |
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154 | enddo |
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155 | |
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156 | END SUBROUTINE compute_hmaxglaciers |
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157 | |
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158 | !======================================================================= |
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159 | |
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160 | SUBROUTINE transfer_ice_duringflow(ngrid,nslope,iflat,subslope_dist,def_slope_mean,hmax,Tice,name_ice,qice,flag_flow,flag_flowmesh) |
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161 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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162 | !!! |
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163 | !!! Purpose: Transfer the excess of ice from one subslope to another |
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164 | !!! No transfer between mesh at the time |
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165 | !!! Author: LL |
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166 | !!! |
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167 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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168 | |
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169 | use ice_table_mod, only: rho_ice |
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170 | use abort_pem_mod, only: abort_pem |
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171 | #ifndef CPP_STD |
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172 | use comcstfi_h, only: pi |
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173 | #else |
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174 | use comcstfi_mod, only: pi |
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175 | #endif |
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176 | |
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177 | implicit none |
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178 | |
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179 | ! Inputs |
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180 | !------- |
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181 | integer, intent(in) :: ngrid, nslope ! # of physical points and subslope |
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182 | integer, intent(in) :: iflat ! index of the flat subslope |
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183 | real, dimension(ngrid,nslope), intent(in) :: subslope_dist ! Distribution of the subgrid slopes within the mesh |
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184 | real, dimension(nslope), intent(in) :: def_slope_mean ! values of the subgrid slopes |
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185 | real, dimension(ngrid,nslope), intent(in) :: hmax ! maximum height of the glaciers before initiating flow [m] |
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186 | real, dimension(ngrid,nslope), intent(in) :: Tice ! Ice temperature[K] |
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187 | character(3), intent(in) :: name_ice ! Nature of the ice |
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188 | ! Outputs |
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189 | !-------- |
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190 | real, dimension(ngrid,nslope), intent(inout) :: qice ! CO2 in the subslope [kg/m^2] |
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191 | real, dimension(ngrid,nslope), intent(inout) :: flag_flow ! boolean to check if there is flow on a subgrid slope |
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192 | real, dimension(ngrid), intent(inout) :: flag_flowmesh ! boolean to check if there is flow in the mesh |
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193 | ! Local |
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194 | !------ |
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195 | integer :: ig, islope ! loop |
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196 | integer :: iaval ! ice will be transfered here |
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197 | |
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198 | do ig = 1,ngrid |
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199 | do islope = 1,nslope |
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200 | if (islope /= iflat) then ! ice can be infinite on flat ground |
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201 | ! First: check that CO2 ice must flow (excess of ice on the slope), ice can accumulate infinitely on flat ground |
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202 | if (qice(ig,islope) >= rho_ice(Tice(ig,islope),'h2o')*hmax(ig,islope)*cos(pi*def_slope_mean(islope)/180.)) then |
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203 | ! Second: determine the flatest slopes possible: |
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204 | if (islope > iflat) then |
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205 | iaval=islope-1 |
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206 | else |
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207 | iaval = islope + 1 |
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208 | endif |
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209 | do while (iaval /= iflat .and. subslope_dist(ig,iaval) == 0) |
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210 | if (iaval > iflat) then |
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211 | iaval = iaval - 1 |
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212 | else |
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213 | iaval = iaval + 1 |
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214 | endif |
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215 | enddo |
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216 | qice(ig,iaval) = qice(ig,iaval) + (qice(ig,islope) - rho_ice(Tice(ig,islope),'h2o')*hmax(ig,islope)*cos(pi*def_slope_mean(islope)/180.)) & |
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217 | *subslope_dist(ig,islope)/subslope_dist(ig,iaval)*cos(pi*def_slope_mean(iaval)/180.)/cos(pi*def_slope_mean(islope)/180.) |
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218 | |
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219 | qice(ig,islope) = rho_ice(Tice(ig,islope),'h2o')*hmax(ig,islope)*cos(pi*def_slope_mean(islope)/180.) |
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220 | flag_flow(ig,islope) = 1. |
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221 | flag_flowmesh(ig) = 1. |
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222 | endif ! co2ice > hmax |
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223 | endif ! iflat |
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224 | enddo !islope |
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225 | enddo !ig |
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226 | |
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227 | END SUBROUTINE |
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228 | |
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229 | !======================================================================= |
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230 | |
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231 | SUBROUTINE computeTcondCO2(timelen,ngrid,nslope,vmr_co2_PEM,ps_PCM,global_avg_ps_PCM,global_avg_ps_PEM,Tcond) |
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232 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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233 | !!! |
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234 | !!! Purpose: Compute CO2 condensation temperature |
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235 | !!! |
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236 | !!! Author: LL |
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237 | !!! |
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238 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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239 | |
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240 | use constants_marspem_mod, only: alpha_clap_co2,beta_clap_co2 |
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241 | |
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242 | implicit none |
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243 | |
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244 | ! arguments: |
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245 | ! ---------- |
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246 | |
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247 | ! INPUT |
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248 | integer, intent(in) :: timelen, ngrid, nslope ! # of timesample, physical points, subslopes |
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249 | real, dimension(ngrid,timelen), intent(in) :: vmr_co2_PEM ! Physical points x times field: VMR of CO2 in the first layer [mol/mol] |
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250 | real, dimension(ngrid,timelen), intent(in) :: ps_PCM ! Physical points x times field: surface pressure in the PCM [Pa] |
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251 | real, intent(in) :: global_avg_ps_PCM ! Global averaged surfacepressure in the PCM [Pa] |
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252 | real, intent(in) :: global_avg_ps_PEM ! Global averaged surface pressure computed during the PEM iteration |
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253 | |
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254 | ! OUTPUT |
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255 | real, dimension(ngrid,nslope), intent(out) :: Tcond ! Physical points: condensation temperature of CO2, yearly averaged |
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256 | |
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257 | ! LOCAL |
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258 | integer :: ig, it ! For loop |
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259 | real :: ave ! Intermediate to compute average |
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260 | |
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261 | do ig = 1,ngrid |
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262 | ave = 0 |
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263 | do it = 1,timelen |
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264 | ave = ave + beta_clap_co2/(alpha_clap_co2 - log(vmr_co2_PEM(ig,it)*ps_PCM(ig,it)*global_avg_ps_PCM/global_avg_ps_PEM/100)) |
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265 | enddo |
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266 | Tcond(ig,:) = ave/timelen |
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267 | enddo |
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268 | |
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269 | END SUBROUTINE computeTcondCO2 |
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270 | |
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271 | END MODULE glaciers_mod |
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