1 | MODULE limitd_me |
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2 | !!====================================================================== |
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3 | !! *** MODULE limitd_me *** |
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4 | !! Mechanical impact on ice thickness distribution |
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5 | !! computation of changes in g(h) |
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6 | !!====================================================================== |
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7 | !! History : LIM ! 2006-02 (M. Vancoppenolle) Original code |
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8 | !! 3.2 ! 2009-07 (M. Vancoppenolle, Y. Aksenov, G. Madec) bug correction in smsw & fsalt_rpo |
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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 | USE dom_ice |
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15 | USE par_oce ! ocean parameters |
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16 | USE dom_oce |
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17 | USE lbclnk |
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18 | USE phycst ! physical constants (ocean directory) |
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19 | USE sbc_oce ! Surface boundary condition: ocean fields |
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20 | USE thd_ice |
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21 | USE in_out_manager |
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22 | USE ice |
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23 | USE par_ice |
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24 | USE limthd_lac |
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25 | USE limvar |
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26 | USE limcons |
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27 | USE prtctl ! Print control |
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28 | USE lib_mpp |
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29 | |
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30 | IMPLICIT NONE |
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31 | PRIVATE |
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32 | |
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33 | !! * Routine accessibility |
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34 | PUBLIC lim_itd_me ! called by ice_stp |
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35 | PUBLIC lim_itd_me_icestrength |
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36 | PUBLIC lim_itd_me_ridgeprep |
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37 | PUBLIC lim_itd_me_ridgeshift |
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38 | PUBLIC lim_itd_me_asumr |
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39 | PUBLIC lim_itd_me_init |
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40 | PUBLIC lim_itd_me_zapsmall |
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41 | |
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42 | !! * Module variables |
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43 | REAL(wp) :: & ! constant values |
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44 | epsi20 = 1e-20 , & |
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45 | epsi13 = 1e-13 , & |
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46 | epsi11 = 1e-11 , & |
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47 | zzero = 0.e0 , & |
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48 | zone = 1.e0 |
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49 | |
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50 | !----------------------------------------------------------------------- |
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51 | ! Variables shared among ridging subroutines |
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52 | !----------------------------------------------------------------------- |
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53 | REAL(wp), DIMENSION (jpi,jpj) :: & |
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54 | asum , & ! sum of total ice and open water area |
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55 | aksum ! ratio of area removed to area ridged |
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56 | |
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57 | REAL(wp), DIMENSION(jpi,jpj,0:jpl) :: & |
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58 | athorn ! participation function; fraction of ridging/ |
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59 | ! closing associated w/ category n |
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60 | |
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61 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: & |
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62 | hrmin , & ! minimum ridge thickness |
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63 | hrmax , & ! maximum ridge thickness |
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64 | hraft , & ! thickness of rafted ice |
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65 | krdg , & ! mean ridge thickness/thickness of ridging ice |
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66 | aridge , & ! participating ice ridging |
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67 | araft ! participating ice rafting |
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68 | |
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69 | REAL(wp), PARAMETER :: & |
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70 | krdgmin = 1.1, & ! min ridge thickness multiplier |
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71 | kraft = 2.0 ! rafting multipliyer |
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72 | |
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73 | REAL(wp) :: & |
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74 | Cp |
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75 | ! |
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76 | !----------------------------------------------------------------------- |
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77 | ! Ridging diagnostic arrays for history files |
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78 | !----------------------------------------------------------------------- |
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79 | ! |
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80 | REAL (wp), DIMENSION(jpi,jpj) :: & |
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81 | dardg1dt , & ! rate of fractional area loss by ridging ice (1/s) |
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82 | dardg2dt , & ! rate of fractional area gain by new ridges (1/s) |
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83 | dvirdgdt , & ! rate of ice volume ridged (m/s) |
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84 | opening ! rate of opening due to divergence/shear (1/s) |
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85 | |
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86 | |
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87 | !!---------------------------------------------------------------------- |
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88 | !! LIM 3.0, UCL-LOCEAN-IPSL (2008) |
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89 | !! $Id$ |
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90 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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91 | !!---------------------------------------------------------------------- |
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92 | |
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93 | |
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94 | CONTAINS |
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95 | |
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96 | !!-----------------------------------------------------------------------------! |
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97 | !!-----------------------------------------------------------------------------! |
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98 | |
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99 | SUBROUTINE lim_itd_me ! (subroutine 1/6) |
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100 | !!---------------------------------------------------------------------! |
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101 | !! *** ROUTINE lim_itd_me *** |
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102 | !! ** Purpose : |
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103 | !! This routine computes the mechanical redistribution |
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104 | !! of ice thickness |
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105 | !! |
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106 | !! ** Method : a very simple method :-) |
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107 | !! |
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108 | !! ** Arguments : |
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109 | !! kideb , kiut : Starting and ending points on which the |
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110 | !! the computation is applied |
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111 | !! |
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112 | !! ** Inputs / Ouputs : (global commons) |
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113 | !! |
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114 | !! ** External : |
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115 | !! |
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116 | !! ** Steps : |
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117 | !! 1) Thickness categories boundaries, ice / o.w. concentrations |
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118 | !! Ridge preparation |
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119 | !! 2) Dynamical inputs (closing rate, divu_adv, opning) |
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120 | !! 3) Ridging iteration |
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121 | !! 4) Ridging diagnostics |
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122 | !! 5) Heat, salt and freshwater fluxes |
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123 | !! 6) Compute increments of tate variables and come back to old values |
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124 | !! |
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125 | !! ** References : There are a lot of references and can be difficult / |
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126 | !! boring to read |
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127 | !! |
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128 | !! Flato, G. M., and W. D. Hibler III, 1995: Ridging and strength |
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129 | !! in modeling the thickness distribution of Arctic sea ice, |
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130 | !! J. Geophys. Res., 100, 18,611-18,626. |
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131 | !! |
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132 | !! Hibler, W. D. III, 1980: Modeling a variable thickness sea ice |
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133 | !! cover, Mon. Wea. Rev., 108, 1943-1973, 1980. |
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134 | !! |
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135 | !! Rothrock, D. A., 1975: The energetics of the plastic deformation of |
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136 | !! pack ice by ridging, J. Geophys. Res., 80, 4514-4519. |
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137 | !! |
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138 | !! Thorndike, A. S., D. A. Rothrock, G. A. Maykut, and R. Colony, |
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139 | !! 1975: The thickness distribution of sea ice, J. Geophys. Res., |
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140 | !! 80, 4501-4513. |
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141 | !! |
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142 | !! Bitz et al., JGR 2001 |
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143 | !! |
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144 | !! Amundrud and Melling, JGR 2005 |
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145 | !! |
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146 | !! Babko et al., JGR 2002 |
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147 | !! |
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148 | !! This routine is based on CICE code and authors William H. Lipscomb, |
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149 | !! and Elizabeth C. Hunke, LANL are gratefully acknowledged |
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150 | !!--------------------------------------------------------------------! |
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151 | !! * Arguments |
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152 | |
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153 | !! * Local variables |
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154 | INTEGER :: ji, & ! spatial dummy loop index |
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155 | jj, & ! spatial dummy loop index |
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156 | jk, & ! vertical layering dummy loop index |
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157 | jl, & ! ice category dummy loop index |
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158 | niter, & ! iteration counter |
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159 | nitermax = 20 ! max number of ridging iterations |
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160 | |
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161 | REAL(wp) :: & ! constant values |
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162 | zeps = 1.0e-10, & |
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163 | epsi10 = 1.0e-10, & |
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164 | epsi06 = 1.0e-6 |
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165 | |
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166 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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167 | closing_net, & ! net rate at which area is removed (1/s) |
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168 | ! (ridging ice area - area of new ridges) / dt |
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169 | divu_adv , & ! divu as implied by transport scheme (1/s) |
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170 | opning , & ! rate of opening due to divergence/shear |
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171 | closing_gross, & ! rate at which area removed, not counting |
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172 | ! area of new ridges |
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173 | msnow_mlt , & ! mass of snow added to ocean (kg m-2) |
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174 | esnow_mlt ! energy needed to melt snow in ocean (J m-2) |
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175 | |
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176 | REAL(wp) :: & |
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177 | w1, & ! temporary variable |
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178 | tmpfac, & ! factor by which opening/closing rates are cut |
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179 | dti ! 1 / dt |
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180 | |
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181 | LOGICAL :: & |
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182 | asum_error ! flag for asum .ne. 1 |
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183 | |
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184 | INTEGER :: iterate_ridging ! if true, repeat the ridging |
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185 | |
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186 | REAL(wp) :: & |
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187 | big = 1.0e8 |
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188 | |
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189 | REAL (wp), DIMENSION(jpi,jpj) :: & ! |
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190 | vt_i_init, vt_i_final ! ice volume summed over categories |
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191 | |
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192 | CHARACTER (len = 15) :: fieldid |
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193 | |
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194 | !!-- End of declarations |
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195 | !-----------------------------------------------------------------------------! |
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196 | |
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197 | IF( numit == nstart ) CALL lim_itd_me_init ! Initialization (first time-step only) |
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198 | |
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199 | IF(ln_ctl) THEN |
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200 | CALL prt_ctl(tab2d_1=ato_i , clinfo1=' lim_itd_me: ato_i : ', tab2d_2=at_i , clinfo2=' at_i : ') |
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201 | CALL prt_ctl(tab2d_1=divu_i, clinfo1=' lim_itd_me: divu_i : ', tab2d_2=delta_i, clinfo2=' delta_i : ') |
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202 | ENDIF |
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203 | |
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204 | !-----------------------------------------------------------------------------! |
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205 | ! 1) Thickness categories boundaries, ice / o.w. concentrations, init_ons |
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206 | !-----------------------------------------------------------------------------! |
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207 | ! Set hi_max(ncat) to a big value to ensure that all ridged ice |
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208 | ! is thinner than hi_max(ncat). |
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209 | |
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210 | hi_max(jpl) = 999.99 |
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211 | |
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212 | Cp = 0.5* grav * (rau0-rhoic)*rhoic/rau0 ! proport const for PE |
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213 | CALL lim_itd_me_ridgeprep ! prepare ridging |
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214 | |
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215 | ! conservation check |
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216 | IF ( con_i) CALL lim_column_sum (jpl, v_i, vt_i_init) |
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217 | |
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218 | ! Initialize arrays. |
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219 | DO jj = 1, jpj |
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220 | DO ji = 1, jpi |
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221 | |
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222 | msnow_mlt(ji,jj) = 0.0 |
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223 | esnow_mlt(ji,jj) = 0.0 |
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224 | dardg1dt(ji,jj) = 0.0 |
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225 | dardg2dt(ji,jj) = 0.0 |
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226 | dvirdgdt(ji,jj) = 0.0 |
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227 | opening (ji,jj) = 0.0 |
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228 | |
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229 | !-----------------------------------------------------------------------------! |
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230 | ! 2) Dynamical inputs (closing rate, divu_adv, opning) |
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231 | !-----------------------------------------------------------------------------! |
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232 | ! |
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233 | ! 2.1 closing_net |
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234 | !----------------- |
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235 | ! Compute the net rate of closing due to convergence |
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236 | ! and shear, based on Flato and Hibler (1995). |
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237 | ! |
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238 | ! The energy dissipation rate is equal to the net closing rate |
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239 | ! times the ice strength. |
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240 | ! |
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241 | ! NOTE: The NET closing rate is equal to the rate that open water |
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242 | ! area is removed, plus the rate at which ice area is removed by |
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243 | ! ridging, minus the rate at which area is added in new ridges. |
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244 | ! The GROSS closing rate is equal to the first two terms (open |
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245 | ! water closing and thin ice ridging) without the third term |
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246 | ! (thick, newly ridged ice). |
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247 | |
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248 | closing_net(ji,jj) = & |
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249 | Cs*0.5*(Delta_i(ji,jj)-ABS(divu_i(ji,jj))) - MIN(divu_i(ji,jj),0.0) |
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250 | |
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251 | ! 2.2 divu_adv |
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252 | !-------------- |
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253 | ! Compute divu_adv, the divergence rate given by the transport/ |
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254 | ! advection scheme, which may not be equal to divu as computed |
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255 | ! from the velocity field. |
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256 | ! |
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257 | ! If divu_adv < 0, make sure the closing rate is large enough |
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258 | ! to give asum = 1.0 after ridging. |
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259 | |
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260 | divu_adv(ji,jj) = (1.0-asum(ji,jj)) / rdt_ice ! asum found in ridgeprep |
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261 | |
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262 | IF (divu_adv(ji,jj) .LT. 0.0) & |
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263 | closing_net(ji,jj) = max(closing_net(ji,jj), -divu_adv(ji,jj)) |
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264 | |
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265 | ! 2.3 opning |
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266 | !------------ |
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267 | ! Compute the (non-negative) opening rate that will give |
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268 | ! asum = 1.0 after ridging. |
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269 | opning(ji,jj) = closing_net(ji,jj) + divu_adv(ji,jj) |
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270 | |
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271 | END DO |
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272 | END DO |
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273 | |
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274 | !-----------------------------------------------------------------------------! |
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275 | ! 3) Ridging iteration |
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276 | !-----------------------------------------------------------------------------! |
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277 | niter = 1 ! iteration counter |
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278 | iterate_ridging = 1 |
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279 | |
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280 | |
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281 | DO WHILE ( iterate_ridging > 0 .AND. niter < nitermax ) |
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282 | |
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283 | DO jj = 1, jpj |
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284 | DO ji = 1, jpi |
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285 | |
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286 | ! 3.2 closing_gross |
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287 | !-----------------------------------------------------------------------------! |
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288 | ! Based on the ITD of ridging and ridged ice, convert the net |
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289 | ! closing rate to a gross closing rate. |
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290 | ! NOTE: 0 < aksum <= 1 |
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291 | closing_gross(ji,jj) = closing_net(ji,jj) / aksum(ji,jj) |
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292 | |
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293 | ! correction to closing rate and opening if closing rate is excessive |
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294 | !--------------------------------------------------------------------- |
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295 | ! Reduce the closing rate if more than 100% of the open water |
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296 | ! would be removed. Reduce the opening rate proportionately. |
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297 | IF ( ato_i(ji,jj) .GT. epsi11 .AND. athorn(ji,jj,0) .GT. 0.0 ) THEN |
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298 | w1 = athorn(ji,jj,0) * closing_gross(ji,jj) * rdt_ice |
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299 | IF ( w1 .GT. ato_i(ji,jj)) THEN |
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300 | tmpfac = ato_i(ji,jj) / w1 |
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301 | closing_gross(ji,jj) = closing_gross(ji,jj) * tmpfac |
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302 | opning(ji,jj) = opning(ji,jj) * tmpfac |
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303 | ENDIF !w1 |
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304 | ENDIF !at0i and athorn |
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305 | |
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306 | END DO ! ji |
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307 | END DO ! jj |
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308 | |
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309 | ! correction to closing rate / opening if excessive ice removal |
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310 | !--------------------------------------------------------------- |
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311 | ! Reduce the closing rate if more than 100% of any ice category |
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312 | ! would be removed. Reduce the opening rate proportionately. |
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313 | |
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314 | DO jl = 1, jpl |
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315 | DO jj = 1, jpj |
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316 | DO ji = 1, jpi |
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317 | IF ( a_i(ji,jj,jl) .GT. epsi11 .AND. athorn(ji,jj,jl) .GT. 0.0 ) THEN |
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318 | w1 = athorn(ji,jj,jl) * closing_gross(ji,jj) * rdt_ice |
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319 | IF ( w1 .GT. a_i(ji,jj,jl) ) THEN |
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320 | tmpfac = a_i(ji,jj,jl) / w1 |
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321 | closing_gross(ji,jj) = closing_gross(ji,jj) * tmpfac |
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322 | opning(ji,jj) = opning(ji,jj) * tmpfac |
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323 | ENDIF |
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324 | ENDIF |
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325 | END DO !ji |
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326 | END DO ! jj |
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327 | END DO !jl |
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328 | |
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329 | ! 3.3 Redistribute area, volume, and energy. |
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330 | !-----------------------------------------------------------------------------! |
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331 | |
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332 | CALL lim_itd_me_ridgeshift (opning, closing_gross, & |
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333 | msnow_mlt, esnow_mlt) |
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334 | |
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335 | ! 3.4 Compute total area of ice plus open water after ridging. |
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336 | !-----------------------------------------------------------------------------! |
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337 | |
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338 | CALL lim_itd_me_asumr |
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339 | |
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340 | ! 3.5 Do we keep on iterating ??? |
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341 | !-----------------------------------------------------------------------------! |
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342 | ! Check whether asum = 1. If not (because the closing and opening |
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343 | ! rates were reduced above), ridge again with new rates. |
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344 | |
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345 | iterate_ridging = 0 |
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346 | |
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347 | DO jj = 1, jpj |
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348 | DO ji = 1, jpi |
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349 | IF (ABS(asum(ji,jj) - 1.0) .LT. epsi11) THEN |
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350 | closing_net(ji,jj) = 0.0 |
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351 | opning(ji,jj) = 0.0 |
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352 | ELSE |
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353 | iterate_ridging = 1 |
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354 | divu_adv(ji,jj) = (1.0 - asum(ji,jj)) / rdt_ice |
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355 | closing_net(ji,jj) = MAX(0.0, -divu_adv(ji,jj)) |
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356 | opning(ji,jj) = MAX(0.0, divu_adv(ji,jj)) |
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357 | ENDIF |
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358 | END DO |
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359 | END DO |
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360 | |
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361 | IF( lk_mpp ) CALL mpp_max(iterate_ridging) |
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362 | |
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363 | ! Repeat if necessary. |
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364 | ! NOTE: If strength smoothing is turned on, the ridging must be |
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365 | ! iterated globally because of the boundary update in the |
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366 | ! smoothing. |
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367 | |
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368 | niter = niter + 1 |
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369 | |
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370 | IF (iterate_ridging == 1) THEN |
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371 | IF (niter .GT. nitermax) THEN |
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372 | WRITE(numout,*) ' ALERTE : non-converging ridging scheme ' |
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373 | WRITE(numout,*) ' niter, iterate_ridging ', niter, iterate_ridging |
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374 | ENDIF |
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375 | CALL lim_itd_me_ridgeprep |
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376 | ENDIF |
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377 | |
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378 | END DO !! on the do while over iter |
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379 | |
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380 | !-----------------------------------------------------------------------------! |
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381 | ! 4) Ridging diagnostics |
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382 | !-----------------------------------------------------------------------------! |
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383 | ! Convert ridging rate diagnostics to correct units. |
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384 | ! Update fresh water and heat fluxes due to snow melt. |
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385 | |
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386 | dti = 1.0/rdt_ice |
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387 | |
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388 | asum_error = .false. |
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389 | |
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390 | DO jj = 1, jpj |
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391 | DO ji = 1, jpi |
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392 | |
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393 | IF (ABS(asum(ji,jj) - 1.0) .GT. epsi11) asum_error = .true. |
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394 | |
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395 | dardg1dt(ji,jj) = dardg1dt(ji,jj) * dti |
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396 | dardg2dt(ji,jj) = dardg2dt(ji,jj) * dti |
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397 | dvirdgdt(ji,jj) = dvirdgdt(ji,jj) * dti |
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398 | opening (ji,jj) = opening (ji,jj) * dti |
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399 | |
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400 | !-----------------------------------------------------------------------------! |
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401 | ! 5) Heat, salt and freshwater fluxes |
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402 | !-----------------------------------------------------------------------------! |
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403 | ! fresh water source for ocean |
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404 | fmmec(ji,jj) = fmmec(ji,jj) + msnow_mlt(ji,jj)*dti |
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405 | |
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406 | ! heat sink for ocean |
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407 | fhmec(ji,jj) = fhmec(ji,jj) + esnow_mlt(ji,jj)*dti |
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408 | |
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409 | END DO |
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410 | END DO |
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411 | |
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412 | ! Check if there is a ridging error |
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413 | DO jj = 1, jpj |
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414 | DO ji = 1, jpi |
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415 | IF (ABS(asum(ji,jj) - 1.0) .GT. epsi11) THEN ! there is a bug |
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416 | WRITE(numout,*) ' ' |
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417 | WRITE(numout,*) ' ALERTE : Ridging error: total area = ', asum(ji,jj) |
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418 | WRITE(numout,*) ' limitd_me ' |
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419 | WRITE(numout,*) ' POINT : ', ji, jj |
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420 | WRITE(numout,*) ' jpl, a_i, athorn ' |
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421 | WRITE(numout,*) 0, ato_i(ji,jj), athorn(ji,jj,0) |
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422 | DO jl = 1, jpl |
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423 | WRITE(numout,*) jl, a_i(ji,jj,jl), athorn(ji,jj,jl) |
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424 | END DO |
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425 | ENDIF ! asum |
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426 | |
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427 | END DO !ji |
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428 | END DO !jj |
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429 | |
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430 | ! Conservation check |
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431 | IF ( con_i ) THEN |
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432 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
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433 | fieldid = ' v_i : limitd_me ' |
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434 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
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435 | ENDIF |
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436 | |
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437 | !-----------------------------------------------------------------------------! |
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438 | ! 6) Updating state variables and trend terms |
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439 | !-----------------------------------------------------------------------------! |
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440 | |
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441 | CALL lim_var_glo2eqv |
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442 | CALL lim_itd_me_zapsmall |
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443 | |
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444 | !----------------- |
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445 | ! Trend terms |
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446 | !----------------- |
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447 | |
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448 | d_u_ice_dyn(:,:) = u_ice(:,:) - old_u_ice(:,:) |
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449 | d_v_ice_dyn(:,:) = v_ice(:,:) - old_v_ice(:,:) |
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450 | d_a_i_trp(:,:,:) = a_i(:,:,:) - old_a_i(:,:,:) |
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451 | d_v_s_trp(:,:,:) = v_s(:,:,:) - old_v_s(:,:,:) |
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452 | d_v_i_trp(:,:,:) = v_i(:,:,:) - old_v_i(:,:,:) |
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453 | d_e_s_trp(:,:,:,:) = e_s(:,:,:,:) - old_e_s(:,:,:,:) |
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454 | d_e_i_trp(:,:,:,:) = e_i(:,:,:,:) - old_e_i(:,:,:,:) |
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455 | d_oa_i_trp(:,:,:) = oa_i(:,:,:) - old_oa_i(:,:,:) |
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456 | d_smv_i_trp(:,:,:) = 0.0 |
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457 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) & |
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458 | d_smv_i_trp(:,:,:) = smv_i(:,:,:) - old_smv_i(:,:,:) |
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459 | |
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460 | IF(ln_ctl) THEN ! Control print |
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461 | CALL prt_ctl_info(' ') |
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462 | CALL prt_ctl_info(' - Cell values : ') |
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463 | CALL prt_ctl_info(' ~~~~~~~~~~~~~ ') |
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464 | CALL prt_ctl(tab2d_1=area , clinfo1=' lim_itd_me : cell area :') |
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465 | CALL prt_ctl(tab2d_1=at_i , clinfo1=' lim_itd_me : at_i :') |
---|
466 | CALL prt_ctl(tab2d_1=vt_i , clinfo1=' lim_itd_me : vt_i :') |
---|
467 | CALL prt_ctl(tab2d_1=vt_s , clinfo1=' lim_itd_me : vt_s :') |
---|
468 | DO jl = 1, jpl |
---|
469 | CALL prt_ctl_info(' ') |
---|
470 | CALL prt_ctl_info(' - Category : ', ivar1=jl) |
---|
471 | CALL prt_ctl_info(' ~~~~~~~~~~') |
---|
472 | CALL prt_ctl(tab2d_1=a_i (:,:,jl) , clinfo1= ' lim_itd_me : a_i : ') |
---|
473 | CALL prt_ctl(tab2d_1=ht_i (:,:,jl) , clinfo1= ' lim_itd_me : ht_i : ') |
---|
474 | CALL prt_ctl(tab2d_1=ht_s (:,:,jl) , clinfo1= ' lim_itd_me : ht_s : ') |
---|
475 | CALL prt_ctl(tab2d_1=v_i (:,:,jl) , clinfo1= ' lim_itd_me : v_i : ') |
---|
476 | CALL prt_ctl(tab2d_1=v_s (:,:,jl) , clinfo1= ' lim_itd_me : v_s : ') |
---|
477 | CALL prt_ctl(tab2d_1=e_s (:,:,1,jl) , clinfo1= ' lim_itd_me : e_s : ') |
---|
478 | CALL prt_ctl(tab2d_1=t_su (:,:,jl) , clinfo1= ' lim_itd_me : t_su : ') |
---|
479 | CALL prt_ctl(tab2d_1=t_s (:,:,1,jl) , clinfo1= ' lim_itd_me : t_snow : ') |
---|
480 | CALL prt_ctl(tab2d_1=sm_i (:,:,jl) , clinfo1= ' lim_itd_me : sm_i : ') |
---|
481 | CALL prt_ctl(tab2d_1=smv_i (:,:,jl) , clinfo1= ' lim_itd_me : smv_i : ') |
---|
482 | DO jk = 1, nlay_i |
---|
483 | CALL prt_ctl_info(' ') |
---|
484 | CALL prt_ctl_info(' - Layer : ', ivar1=jk) |
---|
485 | CALL prt_ctl_info(' ~~~~~~~') |
---|
486 | CALL prt_ctl(tab2d_1=t_i(:,:,jk,jl) , clinfo1= ' lim_itd_me : t_i : ') |
---|
487 | CALL prt_ctl(tab2d_1=e_i(:,:,jk,jl) , clinfo1= ' lim_itd_me : e_i : ') |
---|
488 | END DO |
---|
489 | END DO |
---|
490 | ENDIF |
---|
491 | |
---|
492 | !-------------------------! |
---|
493 | ! Back to initial values |
---|
494 | !-------------------------! |
---|
495 | |
---|
496 | ! update of fields will be made later in lim update |
---|
497 | u_ice(:,:) = old_u_ice(:,:) |
---|
498 | v_ice(:,:) = old_v_ice(:,:) |
---|
499 | a_i(:,:,:) = old_a_i(:,:,:) |
---|
500 | v_s(:,:,:) = old_v_s(:,:,:) |
---|
501 | v_i(:,:,:) = old_v_i(:,:,:) |
---|
502 | e_s(:,:,:,:) = old_e_s(:,:,:,:) |
---|
503 | e_i(:,:,:,:) = old_e_i(:,:,:,:) |
---|
504 | oa_i(:,:,:) = old_oa_i(:,:,:) |
---|
505 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) & |
---|
506 | smv_i(:,:,:) = old_smv_i(:,:,:) |
---|
507 | |
---|
508 | !----------------------------------------------------! |
---|
509 | ! Advection of ice in a free cell, newly ridged ice |
---|
510 | !----------------------------------------------------! |
---|
511 | |
---|
512 | ! to allow for thermodynamics to melt new ice |
---|
513 | ! we immediately advect ice in free cells |
---|
514 | |
---|
515 | ! heat content has to be corrected before ice volume |
---|
516 | DO jl = 1, jpl |
---|
517 | DO jk = 1, nlay_i |
---|
518 | DO jj = 1, jpj |
---|
519 | DO ji = 1, jpi |
---|
520 | IF ( ( old_v_i(ji,jj,jl) .LT. epsi06 ) .AND. & |
---|
521 | ( d_v_i_trp(ji,jj,jl) .GT. epsi06 ) ) THEN |
---|
522 | old_e_i(ji,jj,jk,jl) = d_e_i_trp(ji,jj,jk,jl) |
---|
523 | d_e_i_trp(ji,jj,jk,jl) = 0.0 |
---|
524 | ENDIF |
---|
525 | END DO |
---|
526 | END DO |
---|
527 | END DO |
---|
528 | END DO |
---|
529 | |
---|
530 | DO jl = 1, jpl |
---|
531 | DO jj = 1, jpj |
---|
532 | DO ji = 1, jpi |
---|
533 | IF ( ( old_v_i(ji,jj,jl) .LT. epsi06 ) .AND. & |
---|
534 | ( d_v_i_trp(ji,jj,jl) .GT. epsi06 ) ) THEN |
---|
535 | old_v_i(ji,jj,jl) = d_v_i_trp(ji,jj,jl) |
---|
536 | d_v_i_trp(ji,jj,jl) = 0.0 |
---|
537 | old_a_i(ji,jj,jl) = d_a_i_trp(ji,jj,jl) |
---|
538 | d_a_i_trp(ji,jj,jl) = 0.0 |
---|
539 | old_v_s(ji,jj,jl) = d_v_s_trp(ji,jj,jl) |
---|
540 | d_v_s_trp(ji,jj,jl) = 0.0 |
---|
541 | old_e_s(ji,jj,1,jl) = d_e_s_trp(ji,jj,1,jl) |
---|
542 | d_e_s_trp(ji,jj,1,jl) = 0.0 |
---|
543 | old_oa_i(ji,jj,jl) = d_oa_i_trp(ji,jj,jl) |
---|
544 | d_oa_i_trp(ji,jj,jl) = 0.0 |
---|
545 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) & |
---|
546 | old_smv_i(ji,jj,jl) = d_smv_i_trp(ji,jj,jl) |
---|
547 | d_smv_i_trp(ji,jj,jl) = 0.0 |
---|
548 | ENDIF |
---|
549 | END DO |
---|
550 | END DO |
---|
551 | END DO |
---|
552 | |
---|
553 | END SUBROUTINE lim_itd_me |
---|
554 | |
---|
555 | !=============================================================================== |
---|
556 | |
---|
557 | SUBROUTINE lim_itd_me_icestrength (kstrngth) ! (subroutine 2/6) |
---|
558 | |
---|
559 | !!---------------------------------------------------------------------- |
---|
560 | !! *** ROUTINE lim_itd_me_icestrength *** |
---|
561 | !! ** Purpose : |
---|
562 | !! This routine computes ice strength used in dynamics routines |
---|
563 | !! of ice thickness |
---|
564 | !! |
---|
565 | !! ** Method : |
---|
566 | !! Compute the strength of the ice pack, defined as the energy (J m-2) |
---|
567 | !! dissipated per unit area removed from the ice pack under compression, |
---|
568 | !! and assumed proportional to the change in potential energy caused |
---|
569 | !! by ridging. Note that only Hibler's formulation is stable and that |
---|
570 | !! ice strength has to be smoothed |
---|
571 | !! |
---|
572 | !! ** Inputs / Ouputs : kstrngth (what kind of ice strength we are using) |
---|
573 | !! |
---|
574 | !! ** External : |
---|
575 | !! |
---|
576 | !! ** References : |
---|
577 | !! |
---|
578 | !!---------------------------------------------------------------------- |
---|
579 | !! * Arguments |
---|
580 | |
---|
581 | INTEGER, INTENT(in) :: & |
---|
582 | kstrngth ! = 1 for Rothrock formulation, 0 for Hibler (1979) |
---|
583 | |
---|
584 | INTEGER :: & |
---|
585 | ji,jj, & !: horizontal indices |
---|
586 | jl, & !: thickness category index |
---|
587 | ksmooth, & !: smoothing the resistance to deformation |
---|
588 | numts_rm !: number of time steps for the P smoothing |
---|
589 | |
---|
590 | REAL(wp) :: & |
---|
591 | hi, & !: ice thickness (m) |
---|
592 | zw1, & !: temporary variable |
---|
593 | zp, & !: temporary ice strength |
---|
594 | zdummy |
---|
595 | |
---|
596 | REAL(wp), DIMENSION(jpi,jpj) :: & |
---|
597 | zworka !: temporary array used here |
---|
598 | |
---|
599 | !------------------------------------------------------------------------------! |
---|
600 | ! 1) Initialize |
---|
601 | !------------------------------------------------------------------------------! |
---|
602 | strength(:,:) = 0.0 |
---|
603 | |
---|
604 | !------------------------------------------------------------------------------! |
---|
605 | ! 2) Compute thickness distribution of ridging and ridged ice |
---|
606 | !------------------------------------------------------------------------------! |
---|
607 | CALL lim_itd_me_ridgeprep |
---|
608 | |
---|
609 | !------------------------------------------------------------------------------! |
---|
610 | ! 3) Rothrock(1975)'s method |
---|
611 | !------------------------------------------------------------------------------! |
---|
612 | IF (kstrngth == 1) then |
---|
613 | |
---|
614 | DO jl = 1, jpl |
---|
615 | DO jj= 1, jpj |
---|
616 | DO ji = 1, jpi |
---|
617 | |
---|
618 | IF( ( a_i(ji,jj,jl) .GT. epsi11 ) & |
---|
619 | .AND. ( athorn(ji,jj,jl) .GT. 0.0 ) ) THEN |
---|
620 | hi = v_i(ji,jj,jl) / a_i(ji,jj,jl) |
---|
621 | !---------------------------- |
---|
622 | ! PE loss from deforming ice |
---|
623 | !---------------------------- |
---|
624 | strength(ji,jj) = strength(ji,jj) - athorn(ji,jj,jl) * & |
---|
625 | hi * hi |
---|
626 | |
---|
627 | !-------------------------- |
---|
628 | ! PE gain from rafting ice |
---|
629 | !-------------------------- |
---|
630 | strength(ji,jj) = strength(ji,jj) + 2.0 * araft(ji,jj,jl) & |
---|
631 | * hi * hi |
---|
632 | |
---|
633 | !---------------------------- |
---|
634 | ! PE gain from ridging ice |
---|
635 | !---------------------------- |
---|
636 | strength(ji,jj) = strength(ji,jj) & |
---|
637 | + aridge(ji,jj,jl)/krdg(ji,jj,jl) & |
---|
638 | * 1.0/3.0 * (hrmax(ji,jj,jl)**3 - hrmin(ji,jj,jl)**3) & |
---|
639 | / (hrmax(ji,jj,jl)-hrmin(ji,jj,jl)) |
---|
640 | ENDIF ! aicen > epsi11 |
---|
641 | |
---|
642 | END DO ! ji |
---|
643 | END DO !jj |
---|
644 | END DO !jl |
---|
645 | |
---|
646 | DO jj = 1, jpj |
---|
647 | DO ji = 1, jpi |
---|
648 | strength(ji,jj) = Cf * Cp * strength(ji,jj) / aksum(ji,jj) |
---|
649 | ! Cp = (g/2)*(rhow-rhoi)*(rhoi/rhow) |
---|
650 | ! Cf accounts for frictional dissipation |
---|
651 | |
---|
652 | END DO ! j |
---|
653 | END DO ! i |
---|
654 | |
---|
655 | ksmooth = 1 |
---|
656 | |
---|
657 | !------------------------------------------------------------------------------! |
---|
658 | ! 4) Hibler (1979)' method |
---|
659 | !------------------------------------------------------------------------------! |
---|
660 | ELSE ! kstrngth ne 1: Hibler (1979) form |
---|
661 | |
---|
662 | DO jj = 1, jpj |
---|
663 | DO ji = 1, jpi |
---|
664 | strength(ji,jj) = Pstar*vt_i(ji,jj)*exp(-C_rhg*(1.0-at_i(ji,jj))) |
---|
665 | END DO ! j |
---|
666 | END DO ! i |
---|
667 | |
---|
668 | ksmooth = 1 |
---|
669 | |
---|
670 | ENDIF ! kstrngth |
---|
671 | |
---|
672 | ! |
---|
673 | !------------------------------------------------------------------------------! |
---|
674 | ! 5) Impact of brine volume |
---|
675 | !------------------------------------------------------------------------------! |
---|
676 | ! CAN BE REMOVED |
---|
677 | ! |
---|
678 | IF ( brinstren_swi .EQ. 1 ) THEN |
---|
679 | |
---|
680 | DO jj = 1, jpj |
---|
681 | DO ji = 1, jpi |
---|
682 | IF ( bv_i(ji,jj) .GT. 0.0 ) THEN |
---|
683 | zdummy = MIN ( bv_i(ji,jj), 0.10 ) * MIN( bv_i(ji,jj), 0.10 ) |
---|
684 | ELSE |
---|
685 | zdummy = 0.0 |
---|
686 | ENDIF |
---|
687 | strength(ji,jj) = strength(ji,jj) * exp(-5.88*SQRT(MAX(bv_i(ji,jj),0.0))) |
---|
688 | END DO ! j |
---|
689 | END DO ! i |
---|
690 | |
---|
691 | ENDIF |
---|
692 | |
---|
693 | ! |
---|
694 | !------------------------------------------------------------------------------! |
---|
695 | ! 6) Smoothing ice strength |
---|
696 | !------------------------------------------------------------------------------! |
---|
697 | ! |
---|
698 | !------------------- |
---|
699 | ! Spatial smoothing |
---|
700 | !------------------- |
---|
701 | IF ( ksmooth .EQ. 1 ) THEN |
---|
702 | |
---|
703 | CALL lbc_lnk( strength, 'T', 1. ) |
---|
704 | |
---|
705 | DO jj = 2, jpj - 1 |
---|
706 | DO ji = 2, jpi - 1 |
---|
707 | IF ( ( asum(ji,jj) - ato_i(ji,jj) ) .GT. epsi11) THEN ! ice is |
---|
708 | ! present |
---|
709 | zworka(ji,jj) = 4.0 * strength(ji,jj) & |
---|
710 | + strength(ji-1,jj) * tms(ji-1,jj) & |
---|
711 | + strength(ji+1,jj) * tms(ji+1,jj) & |
---|
712 | + strength(ji,jj-1) * tms(ji,jj-1) & |
---|
713 | + strength(ji,jj+1) * tms(ji,jj+1) |
---|
714 | |
---|
715 | zw1 = 4.0 + tms(ji-1,jj) + tms(ji+1,jj) & |
---|
716 | + tms(ji,jj-1) + tms(ji,jj+1) |
---|
717 | zworka(ji,jj) = zworka(ji,jj) / zw1 |
---|
718 | ELSE |
---|
719 | zworka(ji,jj) = 0.0 |
---|
720 | ENDIF |
---|
721 | END DO |
---|
722 | END DO |
---|
723 | |
---|
724 | DO jj = 2, jpj - 1 |
---|
725 | DO ji = 2, jpi - 1 |
---|
726 | strength(ji,jj) = zworka(ji,jj) |
---|
727 | END DO |
---|
728 | END DO |
---|
729 | CALL lbc_lnk( strength, 'T', 1. ) |
---|
730 | |
---|
731 | ENDIF ! ksmooth |
---|
732 | |
---|
733 | !-------------------- |
---|
734 | ! Temporal smoothing |
---|
735 | !-------------------- |
---|
736 | IF ( numit .EQ. nit000 + nn_fsbc - 1 ) THEN |
---|
737 | strp1(:,:) = 0.0 |
---|
738 | strp2(:,:) = 0.0 |
---|
739 | ENDIF |
---|
740 | |
---|
741 | IF ( ksmooth .EQ. 2 ) THEN |
---|
742 | |
---|
743 | |
---|
744 | CALL lbc_lnk( strength, 'T', 1. ) |
---|
745 | |
---|
746 | DO jj = 1, jpj - 1 |
---|
747 | DO ji = 1, jpi - 1 |
---|
748 | IF ( ( asum(ji,jj) - ato_i(ji,jj) ) .GT. epsi11) THEN ! ice is |
---|
749 | ! present |
---|
750 | numts_rm = 1 ! number of time steps for the running mean |
---|
751 | IF ( strp1(ji,jj) .GT. 0.0 ) numts_rm = numts_rm + 1 |
---|
752 | IF ( strp2(ji,jj) .GT. 0.0 ) numts_rm = numts_rm + 1 |
---|
753 | zp = ( strength(ji,jj) + strp1(ji,jj) + strp2(ji,jj) ) / & |
---|
754 | numts_rm |
---|
755 | strp2(ji,jj) = strp1(ji,jj) |
---|
756 | strp1(ji,jj) = strength(ji,jj) |
---|
757 | strength(ji,jj) = zp |
---|
758 | |
---|
759 | ENDIF |
---|
760 | END DO |
---|
761 | END DO |
---|
762 | |
---|
763 | ENDIF ! ksmooth |
---|
764 | |
---|
765 | ! Boundary conditions |
---|
766 | CALL lbc_lnk( strength, 'T', 1. ) |
---|
767 | |
---|
768 | END SUBROUTINE lim_itd_me_icestrength |
---|
769 | |
---|
770 | !=============================================================================== |
---|
771 | |
---|
772 | SUBROUTINE lim_itd_me_ridgeprep !(subroutine 3/6) |
---|
773 | |
---|
774 | !!---------------------------------------------------------------------! |
---|
775 | !! *** ROUTINE lim_itd_me_ridgeprep *** |
---|
776 | !! ** Purpose : |
---|
777 | !! preparation for ridging and strength calculations |
---|
778 | !! |
---|
779 | !! ** Method : |
---|
780 | !! Compute the thickness distribution of the ice and open water |
---|
781 | !! participating in ridging and of the resulting ridges. |
---|
782 | !! |
---|
783 | !! ** Arguments : |
---|
784 | !! |
---|
785 | !! ** External : |
---|
786 | !! |
---|
787 | !!---------------------------------------------------------------------! |
---|
788 | !! * Arguments |
---|
789 | |
---|
790 | INTEGER :: & |
---|
791 | ji,jj, & ! horizontal indices |
---|
792 | jl, & ! thickness category index |
---|
793 | krdg_index ! which participation function using |
---|
794 | |
---|
795 | REAL(wp) :: & |
---|
796 | Gstari, & ! = 1.0/Gstar |
---|
797 | astari ! = 1.0/astar |
---|
798 | |
---|
799 | REAL(wp), DIMENSION(jpi,jpj,-1:jpl) :: & |
---|
800 | Gsum ! Gsum(n) = sum of areas in categories 0 to n |
---|
801 | |
---|
802 | REAL(wp) :: & |
---|
803 | hi, & ! ice thickness for each cat (m) |
---|
804 | hrmean ! mean ridge thickness (m) |
---|
805 | |
---|
806 | REAL(wp), DIMENSION(jpi,jpj) :: & |
---|
807 | zworka ! temporary array used here |
---|
808 | |
---|
809 | REAL(wp) :: & |
---|
810 | zdummy, & |
---|
811 | epsi06 = 1.0e-6 |
---|
812 | |
---|
813 | !------------------------------------------------------------------------------! |
---|
814 | |
---|
815 | Gstari = 1.0/Gstar |
---|
816 | astari = 1.0/astar |
---|
817 | aksum(:,:) = 0.0 |
---|
818 | athorn(:,:,:) = 0.0 |
---|
819 | aridge(:,:,:) = 0.0 |
---|
820 | araft (:,:,:) = 0.0 |
---|
821 | hrmin(:,:,:) = 0.0 |
---|
822 | hrmax(:,:,:) = 0.0 |
---|
823 | hraft(:,:,:) = 0.0 |
---|
824 | krdg (:,:,:) = 1.0 |
---|
825 | |
---|
826 | ! ! Zero out categories with very small areas |
---|
827 | CALL lim_itd_me_zapsmall |
---|
828 | |
---|
829 | !------------------------------------------------------------------------------! |
---|
830 | ! 1) Participation function |
---|
831 | !------------------------------------------------------------------------------! |
---|
832 | |
---|
833 | ! Compute total area of ice plus open water. |
---|
834 | CALL lim_itd_me_asumr |
---|
835 | ! This is in general not equal to one |
---|
836 | ! because of divergence during transport |
---|
837 | |
---|
838 | ! Compute cumulative thickness distribution function |
---|
839 | ! Compute the cumulative thickness distribution function Gsum, |
---|
840 | ! where Gsum(n) is the fractional area in categories 0 to n. |
---|
841 | ! initial value (in h = 0) equals open water area |
---|
842 | |
---|
843 | Gsum(:,:,-1) = 0.0 |
---|
844 | |
---|
845 | DO jj = 1, jpj |
---|
846 | DO ji = 1, jpi |
---|
847 | IF (ato_i(ji,jj) .GT. epsi11) THEN |
---|
848 | Gsum(ji,jj,0) = ato_i(ji,jj) |
---|
849 | ELSE |
---|
850 | Gsum(ji,jj,0) = 0.0 |
---|
851 | ENDIF |
---|
852 | END DO |
---|
853 | END DO |
---|
854 | |
---|
855 | ! for each value of h, you have to add ice concentration then |
---|
856 | DO jl = 1, jpl |
---|
857 | DO jj = 1, jpj |
---|
858 | DO ji = 1, jpi |
---|
859 | IF ( a_i(ji,jj,jl) .GT. epsi11 ) THEN |
---|
860 | Gsum(ji,jj,jl) = Gsum(ji,jj,jl-1) + a_i(ji,jj,jl) |
---|
861 | ELSE |
---|
862 | Gsum(ji,jj,jl) = Gsum(ji,jj,jl-1) |
---|
863 | ENDIF |
---|
864 | END DO |
---|
865 | END DO |
---|
866 | END DO |
---|
867 | |
---|
868 | ! Normalize the cumulative distribution to 1 |
---|
869 | DO jj = 1, jpj |
---|
870 | DO ji = 1, jpi |
---|
871 | zworka(ji,jj) = 1.0 / Gsum(ji,jj,jpl) |
---|
872 | END DO |
---|
873 | END DO |
---|
874 | |
---|
875 | DO jl = 0, jpl |
---|
876 | DO jj = 1, jpj |
---|
877 | DO ji = 1, jpi |
---|
878 | Gsum(ji,jj,jl) = Gsum(ji,jj,jl) * zworka(ji,jj) |
---|
879 | END DO |
---|
880 | END DO |
---|
881 | END DO |
---|
882 | |
---|
883 | ! 1.3 Compute participation function a(h) = b(h).g(h) (athorn) |
---|
884 | !-------------------------------------------------------------------------------------------------- |
---|
885 | ! Compute the participation function athorn; this is analogous to |
---|
886 | ! a(h) = b(h)g(h) as defined in Thorndike et al. (1975). |
---|
887 | ! area lost from category n due to ridging/closing |
---|
888 | ! athorn(n) = total area lost due to ridging/closing |
---|
889 | ! assume b(h) = (2/Gstar) * (1 - G(h)/Gstar). |
---|
890 | ! |
---|
891 | ! The expressions for athorn are found by integrating b(h)g(h) between |
---|
892 | ! the category boundaries. |
---|
893 | !----------------------------------------------------------------- |
---|
894 | |
---|
895 | krdg_index = 1 |
---|
896 | |
---|
897 | IF ( krdg_index .EQ. 0 ) THEN |
---|
898 | |
---|
899 | !--- Linear formulation (Thorndike et al., 1975) |
---|
900 | DO jl = 0, ice_cat_bounds(1,2) ! only undeformed ice participates |
---|
901 | DO jj = 1, jpj |
---|
902 | DO ji = 1, jpi |
---|
903 | IF (Gsum(ji,jj,jl) < Gstar) THEN |
---|
904 | athorn(ji,jj,jl) = Gstari * (Gsum(ji,jj,jl)-Gsum(ji,jj,jl-1)) * & |
---|
905 | (2.0 - (Gsum(ji,jj,jl-1)+Gsum(ji,jj,jl))*Gstari) |
---|
906 | ELSEIF (Gsum(ji,jj,jl-1) < Gstar) THEN |
---|
907 | athorn(ji,jj,jl) = Gstari * (Gstar-Gsum(ji,jj,jl-1)) * & |
---|
908 | (2.0 - (Gsum(ji,jj,jl-1)+Gstar)*Gstari) |
---|
909 | ELSE |
---|
910 | athorn(ji,jj,jl) = 0.0 |
---|
911 | ENDIF |
---|
912 | END DO ! ji |
---|
913 | END DO ! jj |
---|
914 | END DO ! jl |
---|
915 | |
---|
916 | ELSE ! krdg_index = 1 |
---|
917 | |
---|
918 | !--- Exponential, more stable formulation (Lipscomb et al, 2007) |
---|
919 | ! precompute exponential terms using Gsum as a work array |
---|
920 | zdummy = 1.0 / (1.0-EXP(-astari)) |
---|
921 | |
---|
922 | DO jl = -1, jpl |
---|
923 | DO jj = 1, jpj |
---|
924 | DO ji = 1, jpi |
---|
925 | Gsum(ji,jj,jl) = EXP(-Gsum(ji,jj,jl)*astari)*zdummy |
---|
926 | END DO !ji |
---|
927 | END DO !jj |
---|
928 | END DO !jl |
---|
929 | |
---|
930 | ! compute athorn |
---|
931 | DO jl = 0, ice_cat_bounds(1,2) |
---|
932 | DO jj = 1, jpj |
---|
933 | DO ji = 1, jpi |
---|
934 | athorn(ji,jj,jl) = Gsum(ji,jj,jl-1) - Gsum(ji,jj,jl) |
---|
935 | END DO !ji |
---|
936 | END DO ! jj |
---|
937 | END DO !jl |
---|
938 | |
---|
939 | ENDIF ! krdg_index |
---|
940 | |
---|
941 | ! Ridging and rafting ice participation functions |
---|
942 | IF ( raftswi .EQ. 1 ) THEN |
---|
943 | |
---|
944 | DO jl = 1, jpl |
---|
945 | DO jj = 1, jpj |
---|
946 | DO ji = 1, jpi |
---|
947 | IF ( athorn(ji,jj,jl) .GT. 0.0 ) THEN |
---|
948 | aridge(ji,jj,jl) = ( TANH ( Craft * ( ht_i(ji,jj,jl) - & |
---|
949 | hparmeter ) ) + 1.0 ) / 2.0 * & |
---|
950 | athorn(ji,jj,jl) |
---|
951 | araft (ji,jj,jl) = ( TANH ( - Craft * ( ht_i(ji,jj,jl) - & |
---|
952 | hparmeter ) ) + 1.0 ) / 2.0 * & |
---|
953 | athorn(ji,jj,jl) |
---|
954 | IF ( araft(ji,jj,jl) .LT. epsi06 ) araft(ji,jj,jl) = 0.0 |
---|
955 | aridge(ji,jj,jl) = MAX( athorn(ji,jj,jl) - araft(ji,jj,jl), 0.0) |
---|
956 | ENDIF ! athorn |
---|
957 | END DO ! ji |
---|
958 | END DO ! jj |
---|
959 | END DO ! jl |
---|
960 | |
---|
961 | ELSE ! raftswi = 0 |
---|
962 | |
---|
963 | DO jl = 1, jpl |
---|
964 | DO jj = 1, jpj |
---|
965 | DO ji = 1, jpi |
---|
966 | aridge(ji,jj,jl) = 1.0*athorn(ji,jj,jl) |
---|
967 | END DO |
---|
968 | END DO |
---|
969 | END DO |
---|
970 | |
---|
971 | ENDIF |
---|
972 | |
---|
973 | IF ( raftswi .EQ. 1 ) THEN |
---|
974 | |
---|
975 | IF( MAXVAL(aridge + araft - athorn(:,:,1:jpl)) .GT. epsi11 ) THEN |
---|
976 | DO jl = 1, jpl |
---|
977 | DO jj = 1, jpj |
---|
978 | DO ji = 1, jpi |
---|
979 | IF ( aridge(ji,jj,jl) + araft(ji,jj,jl) - athorn(ji,jj,jl) .GT. & |
---|
980 | epsi11 ) THEN |
---|
981 | WRITE(numout,*) ' ALERTE 96 : wrong participation function ... ' |
---|
982 | WRITE(numout,*) ' ji, jj, jl : ', ji, jj, jl |
---|
983 | WRITE(numout,*) ' lat, lon : ', gphit(ji,jj), glamt(ji,jj) |
---|
984 | WRITE(numout,*) ' aridge : ', aridge(ji,jj,1:jpl) |
---|
985 | WRITE(numout,*) ' araft : ', araft(ji,jj,1:jpl) |
---|
986 | WRITE(numout,*) ' athorn : ', athorn(ji,jj,1:jpl) |
---|
987 | ENDIF |
---|
988 | END DO |
---|
989 | END DO |
---|
990 | END DO |
---|
991 | ENDIF |
---|
992 | |
---|
993 | ENDIF |
---|
994 | |
---|
995 | !----------------------------------------------------------------- |
---|
996 | ! 2) Transfer function |
---|
997 | !----------------------------------------------------------------- |
---|
998 | ! Compute max and min ridged ice thickness for each ridging category. |
---|
999 | ! Assume ridged ice is uniformly distributed between hrmin and hrmax. |
---|
1000 | ! |
---|
1001 | ! This parameterization is a modified version of Hibler (1980). |
---|
1002 | ! The mean ridging thickness, hrmean, is proportional to hi^(0.5) |
---|
1003 | ! and for very thick ridging ice must be >= krdgmin*hi |
---|
1004 | ! |
---|
1005 | ! The minimum ridging thickness, hrmin, is equal to 2*hi |
---|
1006 | ! (i.e., rafting) and for very thick ridging ice is |
---|
1007 | ! constrained by hrmin <= (hrmean + hi)/2. |
---|
1008 | ! |
---|
1009 | ! The maximum ridging thickness, hrmax, is determined by |
---|
1010 | ! hrmean and hrmin. |
---|
1011 | ! |
---|
1012 | ! These modifications have the effect of reducing the ice strength |
---|
1013 | ! (relative to the Hibler formulation) when very thick ice is |
---|
1014 | ! ridging. |
---|
1015 | ! |
---|
1016 | ! aksum = net area removed/ total area removed |
---|
1017 | ! where total area removed = area of ice that ridges |
---|
1018 | ! net area removed = total area removed - area of new ridges |
---|
1019 | !----------------------------------------------------------------- |
---|
1020 | |
---|
1021 | ! Transfer function |
---|
1022 | DO jl = 1, jpl !all categories have a specific transfer function |
---|
1023 | DO jj = 1, jpj |
---|
1024 | DO ji = 1, jpi |
---|
1025 | |
---|
1026 | IF (a_i(ji,jj,jl) .GT. epsi11 .AND. athorn(ji,jj,jl) .GT. 0.0 ) THEN |
---|
1027 | hi = v_i(ji,jj,jl) / a_i(ji,jj,jl) |
---|
1028 | hrmean = MAX(SQRT(Hstar*hi), hi*krdgmin) |
---|
1029 | hrmin(ji,jj,jl) = MIN(2.0*hi, 0.5*(hrmean + hi)) |
---|
1030 | hrmax(ji,jj,jl) = 2.0*hrmean - hrmin(ji,jj,jl) |
---|
1031 | hraft(ji,jj,jl) = kraft*hi |
---|
1032 | krdg(ji,jj,jl) = hrmean / hi |
---|
1033 | ELSE |
---|
1034 | hraft(ji,jj,jl) = 0.0 |
---|
1035 | hrmin(ji,jj,jl) = 0.0 |
---|
1036 | hrmax(ji,jj,jl) = 0.0 |
---|
1037 | krdg (ji,jj,jl) = 1.0 |
---|
1038 | ENDIF |
---|
1039 | |
---|
1040 | END DO ! ji |
---|
1041 | END DO ! jj |
---|
1042 | END DO ! jl |
---|
1043 | |
---|
1044 | ! Normalization factor : aksum, ensures mass conservation |
---|
1045 | DO jj = 1, jpj |
---|
1046 | DO ji = 1, jpi |
---|
1047 | aksum(ji,jj) = athorn(ji,jj,0) |
---|
1048 | END DO |
---|
1049 | END DO |
---|
1050 | |
---|
1051 | DO jl = 1, jpl |
---|
1052 | DO jj = 1, jpj |
---|
1053 | DO ji = 1, jpi |
---|
1054 | aksum(ji,jj) = aksum(ji,jj) & |
---|
1055 | + aridge(ji,jj,jl) * (1.0 - 1.0/krdg(ji,jj,jl)) & |
---|
1056 | + araft (ji,jj,jl) * (1.0 - 1.0/kraft) |
---|
1057 | END DO |
---|
1058 | END DO |
---|
1059 | END DO |
---|
1060 | |
---|
1061 | END SUBROUTINE lim_itd_me_ridgeprep |
---|
1062 | |
---|
1063 | !=============================================================================== |
---|
1064 | |
---|
1065 | SUBROUTINE lim_itd_me_ridgeshift(opning, closing_gross, & |
---|
1066 | msnow_mlt, esnow_mlt) ! (subroutine 4/6) |
---|
1067 | |
---|
1068 | !!----------------------------------------------------------------------------- |
---|
1069 | !! *** ROUTINE lim_itd_me_icestrength *** |
---|
1070 | !! ** Purpose : |
---|
1071 | !! This routine shift ridging ice among thickness categories |
---|
1072 | !! of ice thickness |
---|
1073 | !! |
---|
1074 | !! ** Method : |
---|
1075 | !! Remove area, volume, and energy from each ridging category |
---|
1076 | !! and add to thicker ice categories. |
---|
1077 | !! |
---|
1078 | !! ** Arguments : |
---|
1079 | !! |
---|
1080 | !! ** Inputs / Ouputs : |
---|
1081 | !! |
---|
1082 | !! ** External : |
---|
1083 | !! |
---|
1084 | |
---|
1085 | REAL (wp), DIMENSION(jpi,jpj), INTENT(IN) :: & |
---|
1086 | opning, & ! rate of opening due to divergence/shear |
---|
1087 | closing_gross ! rate at which area removed, not counting |
---|
1088 | ! area of new ridges |
---|
1089 | |
---|
1090 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: & |
---|
1091 | msnow_mlt, & ! mass of snow added to ocean (kg m-2) |
---|
1092 | esnow_mlt ! energy needed to melt snow in ocean (J m-2) |
---|
1093 | |
---|
1094 | INTEGER :: & |
---|
1095 | ji, jj, & ! horizontal indices |
---|
1096 | jl, jl1, jl2, & ! thickness category indices |
---|
1097 | jk, & ! ice layer index |
---|
1098 | ij, & ! horizontal index, combines i and j loops |
---|
1099 | icells ! number of cells with aicen > puny |
---|
1100 | |
---|
1101 | INTEGER, DIMENSION(1:(jpi+1)*(jpj+1)) :: & |
---|
1102 | indxi, indxj ! compressed indices |
---|
1103 | |
---|
1104 | REAL(wp), DIMENSION(jpi,jpj) :: & |
---|
1105 | vice_init, vice_final, & ! ice volume summed over categories |
---|
1106 | eice_init, eice_final ! ice energy summed over layers |
---|
1107 | |
---|
1108 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: & |
---|
1109 | aicen_init, & ! ice area before ridging |
---|
1110 | vicen_init, & ! ice volume before ridging |
---|
1111 | vsnon_init, & ! snow volume before ridging |
---|
1112 | esnon_init, & ! snow energy before ridging |
---|
1113 | smv_i_init, & ! ice salinity before ridging |
---|
1114 | oa_i_init ! ice age before ridging |
---|
1115 | |
---|
1116 | REAL(wp), DIMENSION(jpi,jpj,jkmax,jpl) :: & |
---|
1117 | eicen_init ! ice energy before ridging |
---|
1118 | |
---|
1119 | REAL(wp), DIMENSION(jpi,jpj) :: & |
---|
1120 | afrac , & ! fraction of category area ridged |
---|
1121 | ardg1 , & ! area of ice ridged |
---|
1122 | ardg2 , & ! area of new ridges |
---|
1123 | vsrdg , & ! snow volume of ridging ice |
---|
1124 | esrdg , & ! snow energy of ridging ice |
---|
1125 | oirdg1 , & ! areal age content of ridged ice |
---|
1126 | oirdg2 , & ! areal age content of ridging ice |
---|
1127 | dhr , & ! hrmax - hrmin |
---|
1128 | dhr2 , & ! hrmax^2 - hrmin^2 |
---|
1129 | fvol ! fraction of new ridge volume going to n2 |
---|
1130 | |
---|
1131 | REAL(wp), DIMENSION(jpi,jpj) :: & |
---|
1132 | vrdg1 , & ! volume of ice ridged |
---|
1133 | vrdg2 , & ! volume of new ridges |
---|
1134 | vsw , & ! volume of seawater trapped into ridges |
---|
1135 | srdg1 , & ! sal*volume of ice ridged |
---|
1136 | srdg2 , & ! sal*volume of new ridges |
---|
1137 | smsw ! sal*volume of water trapped into ridges |
---|
1138 | |
---|
1139 | REAL(wp), DIMENSION(jpi,jpj) :: & |
---|
1140 | afrft , & ! fraction of category area rafted |
---|
1141 | arft1 , & ! area of ice rafted |
---|
1142 | arft2 , & ! area of new rafted zone |
---|
1143 | virft , & ! ice volume of rafting ice |
---|
1144 | vsrft , & ! snow volume of rafting ice |
---|
1145 | esrft , & ! snow energy of rafting ice |
---|
1146 | smrft , & ! salinity of rafting ice |
---|
1147 | oirft1 , & ! areal age content of rafted ice |
---|
1148 | oirft2 ! areal age content of rafting ice |
---|
1149 | |
---|
1150 | REAL(wp), DIMENSION(jpi,jpj,jkmax) :: & |
---|
1151 | eirft , & ! ice energy of rafting ice |
---|
1152 | erdg1 , & ! enth*volume of ice ridged |
---|
1153 | erdg2 , & ! enth*volume of new ridges |
---|
1154 | ersw ! enth of water trapped into ridges |
---|
1155 | |
---|
1156 | REAL(wp) :: & |
---|
1157 | hL, hR , & ! left and right limits of integration |
---|
1158 | farea , & ! fraction of new ridge area going to n2 |
---|
1159 | zdummy , & ! dummy argument |
---|
1160 | zdummy0 , & ! dummy argument |
---|
1161 | ztmelts ! ice melting point |
---|
1162 | |
---|
1163 | REAL(wp) :: zsrdg2 |
---|
1164 | |
---|
1165 | CHARACTER (len=80) :: & |
---|
1166 | fieldid ! field identifier |
---|
1167 | |
---|
1168 | LOGICAL, PARAMETER :: & |
---|
1169 | l_conservation_check = .true. ! if true, check conservation |
---|
1170 | ! (useful for debugging) |
---|
1171 | LOGICAL :: & |
---|
1172 | neg_ato_i , & ! flag for ato_i(i,j) < -puny |
---|
1173 | large_afrac , & ! flag for afrac > 1 |
---|
1174 | large_afrft ! flag for afrac > 1 |
---|
1175 | |
---|
1176 | REAL(wp) :: & |
---|
1177 | zeps , & |
---|
1178 | epsi10 , & |
---|
1179 | zindb ! switch for the presence of ridge poros or not |
---|
1180 | |
---|
1181 | !---------------------------------------------------------------------------- |
---|
1182 | |
---|
1183 | ! Conservation check |
---|
1184 | eice_init(:,:) = 0.0 |
---|
1185 | |
---|
1186 | IF ( con_i ) THEN |
---|
1187 | CALL lim_column_sum (jpl, v_i, vice_init ) |
---|
1188 | WRITE(numout,*) ' vice_init : ', vice_init(jiindx,jjindx) |
---|
1189 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, eice_init ) |
---|
1190 | WRITE(numout,*) ' eice_init : ', eice_init(jiindx,jjindx) |
---|
1191 | ENDIF |
---|
1192 | |
---|
1193 | zeps = 1.0d-20 |
---|
1194 | epsi10 = 1.0d-10 |
---|
1195 | |
---|
1196 | !------------------------------------------------------------------------------- |
---|
1197 | ! 1) Compute change in open water area due to closing and opening. |
---|
1198 | !------------------------------------------------------------------------------- |
---|
1199 | |
---|
1200 | neg_ato_i = .false. |
---|
1201 | |
---|
1202 | DO jj = 1, jpj |
---|
1203 | DO ji = 1, jpi |
---|
1204 | ato_i(ji,jj) = ato_i(ji,jj) & |
---|
1205 | - athorn(ji,jj,0)*closing_gross(ji,jj)*rdt_ice & |
---|
1206 | + opning(ji,jj)*rdt_ice |
---|
1207 | IF (ato_i(ji,jj) .LT. -epsi11) THEN |
---|
1208 | neg_ato_i = .true. |
---|
1209 | ELSEIF (ato_i(ji,jj) .LT. 0.0) THEN ! roundoff error |
---|
1210 | ato_i(ji,jj) = 0.0 |
---|
1211 | ENDIF |
---|
1212 | END DO !jj |
---|
1213 | END DO !ji |
---|
1214 | |
---|
1215 | ! if negative open water area alert it |
---|
1216 | IF (neg_ato_i) THEN ! there is a bug |
---|
1217 | DO jj = 1, jpj |
---|
1218 | DO ji = 1, jpi |
---|
1219 | IF (ato_i(ji,jj) .LT. -epsi11) THEN |
---|
1220 | WRITE(numout,*) '' |
---|
1221 | WRITE(numout,*) 'Ridging error: ato_i < 0' |
---|
1222 | WRITE(numout,*) 'ato_i : ', ato_i(ji,jj) |
---|
1223 | ENDIF ! ato_i < -epsi11 |
---|
1224 | END DO ! ji |
---|
1225 | END DO ! jj |
---|
1226 | ENDIF ! neg_ato_i |
---|
1227 | |
---|
1228 | !----------------------------------------------------------------- |
---|
1229 | ! 2) Save initial state variables |
---|
1230 | !----------------------------------------------------------------- |
---|
1231 | |
---|
1232 | DO jl = 1, jpl |
---|
1233 | DO jj = 1, jpj |
---|
1234 | DO ji = 1, jpi |
---|
1235 | aicen_init(ji,jj,jl) = a_i(ji,jj,jl) |
---|
1236 | vicen_init(ji,jj,jl) = v_i(ji,jj,jl) |
---|
1237 | vsnon_init(ji,jj,jl) = v_s(ji,jj,jl) |
---|
1238 | |
---|
1239 | smv_i_init(ji,jj,jl) = smv_i(ji,jj,jl) |
---|
1240 | oa_i_init (ji,jj,jl) = oa_i(ji,jj,jl) |
---|
1241 | END DO !ji |
---|
1242 | END DO ! jj |
---|
1243 | END DO !jl |
---|
1244 | |
---|
1245 | esnon_init(:,:,:) = e_s(:,:,1,:) |
---|
1246 | |
---|
1247 | DO jl = 1, jpl |
---|
1248 | DO jk = 1, nlay_i |
---|
1249 | DO jj = 1, jpj |
---|
1250 | DO ji = 1, jpi |
---|
1251 | eicen_init(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) |
---|
1252 | END DO !ji |
---|
1253 | END DO !jj |
---|
1254 | END DO !jk |
---|
1255 | END DO !jl |
---|
1256 | |
---|
1257 | ! |
---|
1258 | !----------------------------------------------------------------- |
---|
1259 | ! 3) Pump everything from ice which is being ridged / rafted |
---|
1260 | !----------------------------------------------------------------- |
---|
1261 | ! Compute the area, volume, and energy of ice ridging in each |
---|
1262 | ! category, along with the area of the resulting ridge. |
---|
1263 | |
---|
1264 | DO jl1 = 1, jpl !jl1 describes the ridging category |
---|
1265 | |
---|
1266 | !------------------------------------------------ |
---|
1267 | ! 3.1) Identify grid cells with nonzero ridging |
---|
1268 | !------------------------------------------------ |
---|
1269 | |
---|
1270 | icells = 0 |
---|
1271 | DO jj = 1, jpj |
---|
1272 | DO ji = 1, jpi |
---|
1273 | IF (aicen_init(ji,jj,jl1) .GT. epsi11 .AND. athorn(ji,jj,jl1) .GT. 0.0 & |
---|
1274 | .AND. closing_gross(ji,jj) > 0.0) THEN |
---|
1275 | icells = icells + 1 |
---|
1276 | indxi(icells) = ji |
---|
1277 | indxj(icells) = jj |
---|
1278 | ENDIF ! test on a_icen_init |
---|
1279 | END DO ! ji |
---|
1280 | END DO ! jj |
---|
1281 | |
---|
1282 | large_afrac = .false. |
---|
1283 | large_afrft = .false. |
---|
1284 | |
---|
1285 | !CDIR NODEP |
---|
1286 | DO ij = 1, icells |
---|
1287 | ji = indxi(ij) |
---|
1288 | jj = indxj(ij) |
---|
1289 | |
---|
1290 | !-------------------------------------------------------------------- |
---|
1291 | ! 3.2) Compute area of ridging ice (ardg1) and of new ridge (ardg2) |
---|
1292 | !-------------------------------------------------------------------- |
---|
1293 | |
---|
1294 | ardg1(ji,jj) = aridge(ji,jj,jl1)*closing_gross(ji,jj)*rdt_ice |
---|
1295 | arft1(ji,jj) = araft (ji,jj,jl1)*closing_gross(ji,jj)*rdt_ice |
---|
1296 | ardg2(ji,jj) = ardg1(ji,jj) / krdg(ji,jj,jl1) |
---|
1297 | arft2(ji,jj) = arft1(ji,jj) / kraft |
---|
1298 | |
---|
1299 | oirdg1(ji,jj)= aridge(ji,jj,jl1)*closing_gross(ji,jj)*rdt_ice |
---|
1300 | oirft1(ji,jj)= araft (ji,jj,jl1)*closing_gross(ji,jj)*rdt_ice |
---|
1301 | oirdg2(ji,jj)= oirdg1(ji,jj) / krdg(ji,jj,jl1) |
---|
1302 | oirft2(ji,jj)= oirft1(ji,jj) / kraft |
---|
1303 | |
---|
1304 | !--------------------------------------------------------------- |
---|
1305 | ! 3.3) Compute ridging /rafting fractions, make sure afrac <=1 |
---|
1306 | !--------------------------------------------------------------- |
---|
1307 | |
---|
1308 | afrac(ji,jj) = ardg1(ji,jj) / aicen_init(ji,jj,jl1) !ridging |
---|
1309 | afrft(ji,jj) = arft1(ji,jj) / aicen_init(ji,jj,jl1) !rafting |
---|
1310 | |
---|
1311 | IF (afrac(ji,jj) > 1.0 + epsi11) THEN !riging |
---|
1312 | large_afrac = .true. |
---|
1313 | ELSEIF (afrac(ji,jj) > 1.0) THEN ! roundoff error |
---|
1314 | afrac(ji,jj) = 1.0 |
---|
1315 | ENDIF |
---|
1316 | IF (afrft(ji,jj) > 1.0 + epsi11) THEN !rafting |
---|
1317 | large_afrft = .true. |
---|
1318 | ELSEIF (afrft(ji,jj) > 1.0) THEN ! roundoff error |
---|
1319 | afrft(ji,jj) = 1.0 |
---|
1320 | ENDIF |
---|
1321 | |
---|
1322 | !-------------------------------------------------------------------------- |
---|
1323 | ! 3.4) Subtract area, volume, and energy from ridging |
---|
1324 | ! / rafting category n1. |
---|
1325 | !-------------------------------------------------------------------------- |
---|
1326 | vrdg1(ji,jj) = vicen_init(ji,jj,jl1) * afrac(ji,jj) / & |
---|
1327 | ( 1.0 + ridge_por ) |
---|
1328 | vrdg2(ji,jj) = vrdg1(ji,jj) * ( 1. + ridge_por ) |
---|
1329 | vsw (ji,jj) = vrdg1(ji,jj) * ridge_por |
---|
1330 | |
---|
1331 | vsrdg(ji,jj) = vsnon_init(ji,jj,jl1) * afrac(ji,jj) |
---|
1332 | esrdg(ji,jj) = esnon_init(ji,jj,jl1) * afrac(ji,jj) |
---|
1333 | srdg1(ji,jj) = smv_i_init(ji,jj,jl1) * afrac(ji,jj) / & |
---|
1334 | ( 1. + ridge_por ) |
---|
1335 | srdg2(ji,jj) = smv_i_init(ji,jj,jl1) * afrac(ji,jj) |
---|
1336 | |
---|
1337 | ! rafting volumes, heat contents ... |
---|
1338 | virft(ji,jj) = vicen_init(ji,jj,jl1) * afrft(ji,jj) |
---|
1339 | vsrft(ji,jj) = vsnon_init(ji,jj,jl1) * afrft(ji,jj) |
---|
1340 | esrft(ji,jj) = esnon_init(ji,jj,jl1) * afrft(ji,jj) |
---|
1341 | smrft(ji,jj) = smv_i_init(ji,jj,jl1) * afrft(ji,jj) |
---|
1342 | |
---|
1343 | ! substract everything |
---|
1344 | a_i(ji,jj,jl1) = a_i(ji,jj,jl1) - ardg1(ji,jj) - arft1(ji,jj) |
---|
1345 | v_i(ji,jj,jl1) = v_i(ji,jj,jl1) - vrdg1(ji,jj) - virft(ji,jj) |
---|
1346 | v_s(ji,jj,jl1) = v_s(ji,jj,jl1) - vsrdg(ji,jj) - vsrft(ji,jj) |
---|
1347 | e_s(ji,jj,1,jl1) = e_s(ji,jj,1,jl1) - esrdg(ji,jj) - esrft(ji,jj) |
---|
1348 | oa_i(ji,jj,jl1) = oa_i(ji,jj,jl1) - oirdg1(ji,jj) - oirft1(ji,jj) |
---|
1349 | smv_i(ji,jj,jl1) = smv_i(ji,jj,jl1) - srdg1(ji,jj) - smrft(ji,jj) |
---|
1350 | |
---|
1351 | !----------------------------------------------------------------- |
---|
1352 | ! 3.5) Compute properties of new ridges |
---|
1353 | !----------------------------------------------------------------- |
---|
1354 | !------------- |
---|
1355 | ! Salinity |
---|
1356 | !------------- |
---|
1357 | smsw(ji,jj) = sss_m(ji,jj) * vsw(ji,jj) * rhoic / rau0 ! salt content of water frozen in voids |
---|
1358 | |
---|
1359 | zsrdg2 = srdg1(ji,jj) + smsw(ji,jj) ! salt content of new ridge |
---|
1360 | |
---|
1361 | srdg2(ji,jj) = MIN( s_i_max * vrdg2(ji,jj) , zsrdg2 ) ! impose a maximum salinity |
---|
1362 | |
---|
1363 | ! ! excess of salt is flushed into the ocean |
---|
1364 | fsalt_rpo(ji,jj) = fsalt_rpo(ji,jj) + ( zsrdg2 - srdg2(ji,jj) ) * rhoic / rdt_ice |
---|
1365 | |
---|
1366 | !------------------------------------ |
---|
1367 | ! 3.6 Increment ridging diagnostics |
---|
1368 | !------------------------------------ |
---|
1369 | |
---|
1370 | ! jl1 looping 1-jpl |
---|
1371 | ! ij looping 1-icells |
---|
1372 | |
---|
1373 | dardg1dt(ji,jj) = dardg1dt(ji,jj) + ardg1(ji,jj) + arft1(ji,jj) |
---|
1374 | dardg2dt(ji,jj) = dardg2dt(ji,jj) + ardg2(ji,jj) + arft2(ji,jj) |
---|
1375 | diag_dyn_gr(ji,jj) = diag_dyn_gr(ji,jj) + ( vrdg2(ji,jj) + virft(ji,jj) ) / rdt_ice |
---|
1376 | opening(ji,jj) = opening (ji,jj) + opning(ji,jj)*rdt_ice |
---|
1377 | |
---|
1378 | IF (con_i) vice_init(ji,jj) = vice_init(ji,jj) + vrdg2(ji,jj) - vrdg1(ji,jj) |
---|
1379 | |
---|
1380 | !------------------------------------------ |
---|
1381 | ! 3.7 Put the snow somewhere in the ocean |
---|
1382 | !------------------------------------------ |
---|
1383 | |
---|
1384 | ! Place part of the snow lost by ridging into the ocean. |
---|
1385 | ! Note that esnow_mlt < 0; the ocean must cool to melt snow. |
---|
1386 | ! If the ocean temp = Tf already, new ice must grow. |
---|
1387 | ! During the next time step, thermo_rates will determine whether |
---|
1388 | ! the ocean cools or new ice grows. |
---|
1389 | ! jl1 looping 1-jpl |
---|
1390 | ! ij looping 1-icells |
---|
1391 | |
---|
1392 | msnow_mlt(ji,jj) = msnow_mlt(ji,jj) & |
---|
1393 | + rhosn*vsrdg(ji,jj)*(1.0-fsnowrdg) & |
---|
1394 | !rafting included |
---|
1395 | + rhosn*vsrft(ji,jj)*(1.0-fsnowrft) |
---|
1396 | |
---|
1397 | esnow_mlt(ji,jj) = esnow_mlt(ji,jj) & |
---|
1398 | + esrdg(ji,jj)*(1.0-fsnowrdg) & |
---|
1399 | !rafting included |
---|
1400 | + esrft(ji,jj)*(1.0-fsnowrft) |
---|
1401 | |
---|
1402 | !----------------------------------------------------------------- |
---|
1403 | ! 3.8 Compute quantities used to apportion ice among categories |
---|
1404 | ! in the n2 loop below |
---|
1405 | !----------------------------------------------------------------- |
---|
1406 | |
---|
1407 | ! jl1 looping 1-jpl |
---|
1408 | ! ij looping 1-icells |
---|
1409 | |
---|
1410 | dhr(ji,jj) = hrmax(ji,jj,jl1) - hrmin(ji,jj,jl1) |
---|
1411 | dhr2(ji,jj) = hrmax(ji,jj,jl1) * hrmax(ji,jj,jl1) & |
---|
1412 | - hrmin(ji,jj,jl1) * hrmin(ji,jj,jl1) |
---|
1413 | |
---|
1414 | |
---|
1415 | END DO ! ij |
---|
1416 | |
---|
1417 | !-------------------------------------------------------------------- |
---|
1418 | ! 3.9 Compute ridging ice enthalpy, remove it from ridging ice and |
---|
1419 | ! compute ridged ice enthalpy |
---|
1420 | !-------------------------------------------------------------------- |
---|
1421 | DO jk = 1, nlay_i |
---|
1422 | !CDIR NODEP |
---|
1423 | DO ij = 1, icells |
---|
1424 | ji = indxi(ij) |
---|
1425 | jj = indxj(ij) |
---|
1426 | ! heat content of ridged ice |
---|
1427 | erdg1(ji,jj,jk) = eicen_init(ji,jj,jk,jl1) * afrac(ji,jj) / & |
---|
1428 | ( 1.0 + ridge_por ) |
---|
1429 | eirft(ji,jj,jk) = eicen_init(ji,jj,jk,jl1) * afrft(ji,jj) |
---|
1430 | e_i(ji,jj,jk,jl1) = e_i(ji,jj,jk,jl1) & |
---|
1431 | - erdg1(ji,jj,jk) & |
---|
1432 | - eirft(ji,jj,jk) |
---|
1433 | ! sea water heat content |
---|
1434 | ztmelts = - tmut * sss_m(ji,jj) + rtt |
---|
1435 | ! heat content per unit volume |
---|
1436 | zdummy0 = - rcp * ( sst_m(ji,jj) + rt0 - rtt ) * vsw(ji,jj) |
---|
1437 | |
---|
1438 | ! corrected sea water salinity |
---|
1439 | zindb = MAX( 0.0, SIGN( 1.0, vsw(ji,jj) - zeps ) ) |
---|
1440 | zdummy = zindb * ( srdg1(ji,jj) - srdg2(ji,jj) ) / & |
---|
1441 | MAX( ridge_por * vsw(ji,jj), zeps ) |
---|
1442 | |
---|
1443 | ztmelts = - tmut * zdummy + rtt |
---|
1444 | ersw(ji,jj,jk) = - rcp * ( ztmelts - rtt ) * vsw(ji,jj) |
---|
1445 | |
---|
1446 | ! heat flux |
---|
1447 | fheat_rpo(ji,jj) = fheat_rpo(ji,jj) + ( ersw(ji,jj,jk) - zdummy0 ) / & |
---|
1448 | rdt_ice |
---|
1449 | |
---|
1450 | ! Correct dimensions to avoid big values |
---|
1451 | ersw(ji,jj,jk) = ersw(ji,jj,jk) / 1.0d+09 |
---|
1452 | |
---|
1453 | ! Mutliply by ice volume, and divide by number of layers to get heat content in 10^9 J |
---|
1454 | ersw(ji,jj,jk) = ersw(ji,jj,jk) * & |
---|
1455 | area(ji,jj) * vsw(ji,jj) / & |
---|
1456 | nlay_i |
---|
1457 | |
---|
1458 | erdg2(ji,jj,jk) = erdg1(ji,jj,jk) + ersw(ji,jj,jk) |
---|
1459 | END DO ! ij |
---|
1460 | END DO !jk |
---|
1461 | |
---|
1462 | |
---|
1463 | IF ( con_i ) THEN |
---|
1464 | DO jk = 1, nlay_i |
---|
1465 | !CDIR NODEP |
---|
1466 | DO ij = 1, icells |
---|
1467 | ji = indxi(ij) |
---|
1468 | jj = indxj(ij) |
---|
1469 | eice_init(ji,jj) = eice_init(ji,jj) + erdg2(ji,jj,jk) - & |
---|
1470 | erdg1(ji,jj,jk) |
---|
1471 | END DO ! ij |
---|
1472 | END DO !jk |
---|
1473 | ENDIF |
---|
1474 | |
---|
1475 | IF (large_afrac) THEN ! there is a bug |
---|
1476 | !CDIR NODEP |
---|
1477 | DO ij = 1, icells |
---|
1478 | ji = indxi(ij) |
---|
1479 | jj = indxj(ij) |
---|
1480 | IF ( afrac(ji,jj) > 1.0 + epsi11 ) THEN |
---|
1481 | WRITE(numout,*) '' |
---|
1482 | WRITE(numout,*) ' ardg > a_i' |
---|
1483 | WRITE(numout,*) ' ardg, aicen_init : ', & |
---|
1484 | ardg1(ji,jj), aicen_init(ji,jj,jl1) |
---|
1485 | ENDIF ! afrac > 1 + puny |
---|
1486 | ENDDO ! if |
---|
1487 | ENDIF ! large_afrac |
---|
1488 | IF (large_afrft) THEN ! there is a bug |
---|
1489 | !CDIR NODEP |
---|
1490 | DO ij = 1, icells |
---|
1491 | ji = indxi(ij) |
---|
1492 | jj = indxj(ij) |
---|
1493 | IF ( afrft(ji,jj) > 1.0 + epsi11 ) THEN |
---|
1494 | WRITE(numout,*) '' |
---|
1495 | WRITE(numout,*) ' arft > a_i' |
---|
1496 | WRITE(numout,*) ' arft, aicen_init : ', & |
---|
1497 | arft1(ji,jj), aicen_init(ji,jj,jl1) |
---|
1498 | ENDIF ! afrft > 1 + puny |
---|
1499 | ENDDO ! if |
---|
1500 | ENDIF ! large_afrft |
---|
1501 | |
---|
1502 | !------------------------------------------------------------------------------- |
---|
1503 | ! 4) Add area, volume, and energy of new ridge to each category jl2 |
---|
1504 | !------------------------------------------------------------------------------- |
---|
1505 | ! jl1 looping 1-jpl |
---|
1506 | DO jl2 = ice_cat_bounds(1,1), ice_cat_bounds(1,2) |
---|
1507 | ! over categories to which ridged ice is transferred |
---|
1508 | !CDIR NODEP |
---|
1509 | DO ij = 1, icells |
---|
1510 | ji = indxi(ij) |
---|
1511 | jj = indxj(ij) |
---|
1512 | |
---|
1513 | ! Compute the fraction of ridged ice area and volume going to |
---|
1514 | ! thickness category jl2. |
---|
1515 | ! Transfer area, volume, and energy accordingly. |
---|
1516 | |
---|
1517 | IF (hrmin(ji,jj,jl1) .GE. hi_max(jl2) .OR. & |
---|
1518 | hrmax(ji,jj,jl1) .LE. hi_max(jl2-1)) THEN |
---|
1519 | hL = 0.0 |
---|
1520 | hR = 0.0 |
---|
1521 | ELSE |
---|
1522 | hL = MAX (hrmin(ji,jj,jl1), hi_max(jl2-1)) |
---|
1523 | hR = MIN (hrmax(ji,jj,jl1), hi_max(jl2)) |
---|
1524 | ENDIF |
---|
1525 | |
---|
1526 | ! fraction of ridged ice area and volume going to n2 |
---|
1527 | farea = (hR-hL) / dhr(ji,jj) |
---|
1528 | fvol(ji,jj) = (hR*hR - hL*hL) / dhr2(ji,jj) |
---|
1529 | |
---|
1530 | a_i(ji,jj,jl2) = a_i(ji,jj,jl2) + farea * ardg2(ji,jj) |
---|
1531 | v_i(ji,jj,jl2) = v_i(ji,jj,jl2) + fvol(ji,jj) * vrdg2(ji,jj) |
---|
1532 | v_s(ji,jj,jl2) = v_s(ji,jj,jl2) & |
---|
1533 | + fvol(ji,jj) * vsrdg(ji,jj) * fsnowrdg |
---|
1534 | e_s(ji,jj,1,jl2) = e_s(ji,jj,1,jl2) & |
---|
1535 | + fvol(ji,jj) * esrdg(ji,jj) * fsnowrdg |
---|
1536 | smv_i(ji,jj,jl2) = smv_i(ji,jj,jl2) + fvol(ji,jj) * srdg2(ji,jj) |
---|
1537 | oa_i(ji,jj,jl2) = oa_i(ji,jj,jl2) + farea * oirdg2(ji,jj) |
---|
1538 | |
---|
1539 | END DO ! ij |
---|
1540 | |
---|
1541 | ! Transfer ice energy to category jl2 by ridging |
---|
1542 | DO jk = 1, nlay_i |
---|
1543 | !CDIR NODEP |
---|
1544 | DO ij = 1, icells |
---|
1545 | ji = indxi(ij) |
---|
1546 | jj = indxj(ij) |
---|
1547 | e_i(ji,jj,jk,jl2) = e_i(ji,jj,jk,jl2) & |
---|
1548 | + fvol(ji,jj)*erdg2(ji,jj,jk) |
---|
1549 | END DO ! ij |
---|
1550 | END DO !jk |
---|
1551 | |
---|
1552 | |
---|
1553 | END DO ! jl2 (new ridges) |
---|
1554 | |
---|
1555 | DO jl2 = ice_cat_bounds(1,1), ice_cat_bounds(1,2) |
---|
1556 | |
---|
1557 | !CDIR NODEP |
---|
1558 | DO ij = 1, icells |
---|
1559 | ji = indxi(ij) |
---|
1560 | jj = indxj(ij) |
---|
1561 | ! Compute the fraction of rafted ice area and volume going to |
---|
1562 | ! thickness category jl2, transfer area, volume, and energy accordingly. |
---|
1563 | |
---|
1564 | IF (hraft(ji,jj,jl1) .LE. hi_max(jl2) .AND. & |
---|
1565 | hraft(ji,jj,jl1) .GT. hi_max(jl2-1)) THEN |
---|
1566 | a_i(ji,jj,jl2) = a_i(ji,jj,jl2) + arft2(ji,jj) |
---|
1567 | v_i(ji,jj,jl2) = v_i(ji,jj,jl2) + virft(ji,jj) |
---|
1568 | v_s(ji,jj,jl2) = v_s(ji,jj,jl2) & |
---|
1569 | + vsrft(ji,jj)*fsnowrft |
---|
1570 | e_s(ji,jj,1,jl2) = e_s(ji,jj,1,jl2) & |
---|
1571 | + esrft(ji,jj)*fsnowrft |
---|
1572 | smv_i(ji,jj,jl2) = smv_i(ji,jj,jl2) & |
---|
1573 | + smrft(ji,jj) |
---|
1574 | oa_i(ji,jj,jl2) = oa_i(ji,jj,jl2) & |
---|
1575 | + oirft2(ji,jj) |
---|
1576 | ENDIF ! hraft |
---|
1577 | |
---|
1578 | END DO ! ij |
---|
1579 | |
---|
1580 | ! Transfer rafted ice energy to category jl2 |
---|
1581 | DO jk = 1, nlay_i |
---|
1582 | !CDIR NODEP |
---|
1583 | DO ij = 1, icells |
---|
1584 | ji = indxi(ij) |
---|
1585 | jj = indxj(ij) |
---|
1586 | IF (hraft(ji,jj,jl1) .LE. hi_max(jl2) .AND. & |
---|
1587 | hraft(ji,jj,jl1) .GT. hi_max(jl2-1)) THEN |
---|
1588 | e_i(ji,jj,jk,jl2) = e_i(ji,jj,jk,jl2) & |
---|
1589 | + eirft(ji,jj,jk) |
---|
1590 | ENDIF |
---|
1591 | END DO ! ij |
---|
1592 | END DO !jk |
---|
1593 | |
---|
1594 | END DO ! jl2 |
---|
1595 | |
---|
1596 | END DO ! jl1 (deforming categories) |
---|
1597 | |
---|
1598 | ! Conservation check |
---|
1599 | IF ( con_i ) THEN |
---|
1600 | CALL lim_column_sum (jpl, v_i, vice_final) |
---|
1601 | fieldid = ' v_i : limitd_me ' |
---|
1602 | CALL lim_cons_check (vice_init, vice_final, 1.0e-6, fieldid) |
---|
1603 | WRITE(numout,*) ' vice_init : ', vice_init(jiindx,jjindx) |
---|
1604 | WRITE(numout,*) ' vice_final : ', vice_final(jiindx,jjindx) |
---|
1605 | |
---|
1606 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, eice_final ) |
---|
1607 | fieldid = ' e_i : limitd_me ' |
---|
1608 | CALL lim_cons_check (eice_init, eice_final, 1.0e-2, fieldid) |
---|
1609 | WRITE(numout,*) ' eice_init : ', eice_init(jiindx,jjindx) |
---|
1610 | WRITE(numout,*) ' eice_final : ', eice_final(jiindx,jjindx) |
---|
1611 | ENDIF |
---|
1612 | |
---|
1613 | END SUBROUTINE lim_itd_me_ridgeshift |
---|
1614 | |
---|
1615 | !============================================================================== |
---|
1616 | |
---|
1617 | SUBROUTINE lim_itd_me_asumr !(subroutine 5/6) |
---|
1618 | |
---|
1619 | !!----------------------------------------------------------------------------- |
---|
1620 | !! *** ROUTINE lim_itd_me_asumr *** |
---|
1621 | !! ** Purpose : |
---|
1622 | !! This routine finds total fractional area |
---|
1623 | !! |
---|
1624 | !! ** Method : |
---|
1625 | !! Find the total area of ice plus open water in each grid cell. |
---|
1626 | !! |
---|
1627 | !! This is similar to the aggregate_area subroutine except that the |
---|
1628 | !! total area can be greater than 1, so the open water area is |
---|
1629 | !! included in the sum instead of being computed as a residual. |
---|
1630 | !! |
---|
1631 | !! ** Arguments : |
---|
1632 | |
---|
1633 | INTEGER :: ji, jj, jl |
---|
1634 | |
---|
1635 | !----------------------------------------------------------------- |
---|
1636 | ! open water |
---|
1637 | !----------------------------------------------------------------- |
---|
1638 | |
---|
1639 | DO jj = 1, jpj |
---|
1640 | DO ji = 1, jpi |
---|
1641 | asum(ji,jj) = ato_i(ji,jj) |
---|
1642 | END DO |
---|
1643 | END DO |
---|
1644 | |
---|
1645 | !----------------------------------------------------------------- |
---|
1646 | ! ice categories |
---|
1647 | !----------------------------------------------------------------- |
---|
1648 | |
---|
1649 | DO jl = 1, jpl |
---|
1650 | DO jj= 1, jpj |
---|
1651 | DO ji = 1, jpi |
---|
1652 | asum(ji,jj) = asum(ji,jj) + a_i(ji,jj,jl) |
---|
1653 | END DO !ji |
---|
1654 | END DO !jj |
---|
1655 | END DO ! jl |
---|
1656 | |
---|
1657 | END SUBROUTINE lim_itd_me_asumr |
---|
1658 | |
---|
1659 | !============================================================================== |
---|
1660 | |
---|
1661 | SUBROUTINE lim_itd_me_init ! (subroutine 6/6) |
---|
1662 | !!------------------------------------------------------------------- |
---|
1663 | !! *** ROUTINE lim_itd_me_init *** |
---|
1664 | !! |
---|
1665 | !! ** Purpose : Physical constants and parameters linked |
---|
1666 | !! to the mechanical ice redistribution |
---|
1667 | !! |
---|
1668 | !! ** Method : Read the namiceitdme namelist |
---|
1669 | !! and check the parameters values |
---|
1670 | !! called at the first timestep (nit000) |
---|
1671 | !! |
---|
1672 | !! ** input : Namelist namiceitdme |
---|
1673 | !! |
---|
1674 | !! history : |
---|
1675 | !! 9.0, LIM3.0 - 02-2006 (M. Vancoppenolle) original code |
---|
1676 | !!------------------------------------------------------------------- |
---|
1677 | NAMELIST/namiceitdme/ ridge_scheme_swi, Cs, Cf, fsnowrdg, fsnowrft,& |
---|
1678 | Gstar, astar, & |
---|
1679 | Hstar, raftswi, hparmeter, Craft, ridge_por, & |
---|
1680 | sal_max_ridge, partfun_swi, transfun_swi, & |
---|
1681 | brinstren_swi |
---|
1682 | !!------------------------------------------------------------------- |
---|
1683 | |
---|
1684 | ! Define the initial parameters |
---|
1685 | ! ------------------------- |
---|
1686 | REWIND( numnam_ice ) |
---|
1687 | READ ( numnam_ice , namiceitdme) |
---|
1688 | IF (lwp) THEN |
---|
1689 | WRITE(numout,*) |
---|
1690 | WRITE(numout,*)' lim_itd_me_init : ice parameters for mechanical ice redistribution ' |
---|
1691 | WRITE(numout,*)' ~~~~~~~~~~~~~~~' |
---|
1692 | WRITE(numout,*)' Switch choosing the ice redistribution scheme ridge_scheme_swi', ridge_scheme_swi |
---|
1693 | WRITE(numout,*)' Fraction of shear energy contributing to ridging Cs ', Cs |
---|
1694 | WRITE(numout,*)' Ratio of ridging work to PotEner change in ridging Cf ', Cf |
---|
1695 | WRITE(numout,*)' Fraction of snow volume conserved during ridging fsnowrdg ', fsnowrdg |
---|
1696 | WRITE(numout,*)' Fraction of snow volume conserved during ridging fsnowrft ', fsnowrft |
---|
1697 | WRITE(numout,*)' Fraction of total ice coverage contributing to ridging Gstar ', Gstar |
---|
1698 | WRITE(numout,*)' Equivalent to G* for an exponential part function astar ', astar |
---|
1699 | WRITE(numout,*)' Quantity playing a role in max ridged ice thickness Hstar ', Hstar |
---|
1700 | WRITE(numout,*)' Rafting of ice sheets or not raftswi ', raftswi |
---|
1701 | WRITE(numout,*)' Parmeter thickness (threshold between ridge-raft) hparmeter ', hparmeter |
---|
1702 | WRITE(numout,*)' Rafting hyperbolic tangent coefficient Craft ', Craft |
---|
1703 | WRITE(numout,*)' Initial porosity of ridges ridge_por ', ridge_por |
---|
1704 | WRITE(numout,*)' Maximum salinity of ridging ice sal_max_ridge ', sal_max_ridge |
---|
1705 | WRITE(numout,*)' Switch for part. function (0) linear (1) exponential partfun_swi ', partfun_swi |
---|
1706 | WRITE(numout,*)' Switch for tran. function (0) linear (1) exponential transfun_swi ', transfun_swi |
---|
1707 | WRITE(numout,*)' Switch for including brine volume in ice strength comp. brinstren_swi ', brinstren_swi |
---|
1708 | ENDIF |
---|
1709 | |
---|
1710 | END SUBROUTINE lim_itd_me_init |
---|
1711 | |
---|
1712 | !============================================================================== |
---|
1713 | |
---|
1714 | SUBROUTINE lim_itd_me_zapsmall |
---|
1715 | !!------------------------------------------------------------------- |
---|
1716 | !! *** ROUTINE lim_itd_me_zapsmall *** |
---|
1717 | !! |
---|
1718 | !! ** Purpose : Remove too small sea ice areas and correct salt fluxes |
---|
1719 | !! |
---|
1720 | !! |
---|
1721 | !! history : |
---|
1722 | !! author: William H. Lipscomb, LANL |
---|
1723 | !! Nov 2003: Modified by Julie Schramm to conserve volume and energy |
---|
1724 | !! Sept 2004: Modified by William Lipscomb; replaced normalize_state with |
---|
1725 | !! additions to local freshwater, salt, and heat fluxes |
---|
1726 | !! 9.0, LIM3.0 - 02-2006 (M. Vancoppenolle) original code |
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1727 | !!------------------------------------------------------------------- |
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1728 | |
---|
1729 | INTEGER :: & |
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1730 | ji,jj, & ! horizontal indices |
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1731 | jl, & ! ice category index |
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1732 | jk, & ! ice layer index |
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1733 | ! ij, & ! combined i/j horizontal index |
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1734 | icells ! number of cells with ice to zap |
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1735 | |
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1736 | ! INTEGER, DIMENSION(1:(jpi+1)*(jpj+1)) :: & |
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1737 | ! indxi, & ! compressed indices for i/j directions |
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1738 | ! indxj |
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1739 | |
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1740 | INTEGER, DIMENSION(jpi,jpj) :: zmask |
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1741 | |
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1742 | |
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1743 | REAL(wp) :: & |
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1744 | xtmp ! temporary variable |
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1745 | |
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1746 | DO jl = 1, jpl |
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1747 | |
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1748 | !----------------------------------------------------------------- |
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1749 | ! Count categories to be zapped. |
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1750 | ! Abort model in case of negative area. |
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1751 | !----------------------------------------------------------------- |
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1752 | IF( MINVAL(a_i(:,:,jl)) .LT. -epsi11 .AND. ln_nicep ) THEN |
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1753 | DO jj = 1, jpj |
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1754 | DO ji = 1, jpi |
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1755 | IF ( a_i(ji,jj,jl) .LT. -epsi11 ) THEN |
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1756 | WRITE (numout,*) ' ALERTE 98 ' |
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1757 | WRITE (numout,*) ' Negative ice area: ji, jj, jl: ', ji, jj,jl |
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1758 | WRITE (numout,*) ' a_i ', a_i(ji,jj,jl) |
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1759 | ENDIF |
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1760 | END DO |
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1761 | END DO |
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1762 | ENDIF |
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1763 | |
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1764 | icells = 0 |
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1765 | zmask = 0.e0 |
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1766 | DO jj = 1, jpj |
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1767 | DO ji = 1, jpi |
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1768 | IF ( ( a_i(ji,jj,jl) .GE. -epsi11 .AND. a_i(ji,jj,jl) .LT. 0.0) & |
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1769 | .OR. & |
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1770 | ( a_i(ji,jj,jl) .GT. 0.0 .AND. a_i(ji,jj,jl) .LE. 1.0e-11 ) & |
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1771 | .OR. & |
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1772 | !new line |
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1773 | ( v_i(ji,jj,jl) .EQ. 0.0 .AND. a_i(ji,jj,jl) .GT. 0.0 ) & |
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1774 | .OR. & |
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1775 | ( v_i(ji,jj,jl) .GT. 0.0 .AND. v_i(ji,jj,jl) .LT. 1.e-12 ) ) THEN |
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1776 | zmask(ji,jj) = 1 |
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1777 | ENDIF |
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1778 | END DO |
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1779 | END DO |
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1780 | IF( ln_nicep ) WRITE(numout,*) SUM(zmask), ' cells of ice zapped in the ocean ' |
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1781 | |
---|
1782 | !----------------------------------------------------------------- |
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1783 | ! Zap ice energy and use ocean heat to melt ice |
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1784 | !----------------------------------------------------------------- |
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1785 | |
---|
1786 | DO jk = 1, nlay_i |
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1787 | DO jj = 1 , jpj |
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1788 | DO ji = 1 , jpi |
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1789 | |
---|
1790 | xtmp = e_i(ji,jj,jk,jl) / area(ji,jj) / rdt_ice |
---|
1791 | xtmp = xtmp * unit_fac |
---|
1792 | ! fheat_res(ji,jj) = fheat_res(ji,jj) - xtmp |
---|
1793 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * ( 1 - zmask(ji,jj) ) |
---|
1794 | END DO ! ji |
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1795 | END DO ! jj |
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1796 | END DO ! jk |
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1797 | |
---|
1798 | DO jj = 1 , jpj |
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1799 | DO ji = 1 , jpi |
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1800 | |
---|
1801 | !----------------------------------------------------------------- |
---|
1802 | ! Zap snow energy and use ocean heat to melt snow |
---|
1803 | !----------------------------------------------------------------- |
---|
1804 | |
---|
1805 | ! xtmp = esnon(i,j,n) / dt ! < 0 |
---|
1806 | ! fhnet(i,j) = fhnet(i,j) + xtmp |
---|
1807 | ! fhnet_hist(i,j) = fhnet_hist(i,j) + xtmp |
---|
1808 | ! xtmp is greater than 0 |
---|
1809 | ! fluxes are positive to the ocean |
---|
1810 | ! here the flux has to be negative for the ocean |
---|
1811 | xtmp = ( rhosn*cpic*( rtt-t_s(ji,jj,1,jl) ) + rhosn*lfus ) / rdt_ice |
---|
1812 | ! fheat_res(ji,jj) = fheat_res(ji,jj) - xtmp |
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1813 | |
---|
1814 | xtmp = ( rhosn*cpic*( rtt-t_s(ji,jj,1,jl) ) + rhosn*lfus ) / rdt_ice !RB ??????? |
---|
1815 | |
---|
1816 | t_s(ji,jj,1,jl) = rtt * zmask(ji,jj) + t_s(ji,jj,1,jl) * ( 1 - zmask(ji,jj) ) |
---|
1817 | |
---|
1818 | !----------------------------------------------------------------- |
---|
1819 | ! zap ice and snow volume, add water and salt to ocean |
---|
1820 | !----------------------------------------------------------------- |
---|
1821 | |
---|
1822 | ! xtmp = (rhoi*vicen(i,j,n) + rhos*vsnon(i,j,n)) / dt |
---|
1823 | ! fresh(i,j) = fresh(i,j) + xtmp |
---|
1824 | ! fresh_hist(i,j) = fresh_hist(i,j) + xtmp |
---|
1825 | |
---|
1826 | ! fsalt_res(ji,jj) = fsalt_res(ji,jj) + ( sss_m(ji,jj) ) * & |
---|
1827 | ! rhosn * v_s(ji,jj,jl) / rdt_ice |
---|
1828 | |
---|
1829 | ! fsalt_res(ji,jj) = fsalt_res(ji,jj) + ( sss_m(ji,jj) - sm_i(ji,jj,jl) ) * & |
---|
1830 | ! rhoic * v_i(ji,jj,jl) / rdt_ice |
---|
1831 | |
---|
1832 | ! emps(i,j) = emps(i,j) + xtmp |
---|
1833 | ! fsalt_hist(i,j) = fsalt_hist(i,j) + xtmp |
---|
1834 | |
---|
1835 | ato_i(ji,jj) = a_i(ji,jj,jl) * zmask(ji,jj) + ato_i(ji,jj) |
---|
1836 | a_i(ji,jj,jl) = a_i(ji,jj,jl) * ( 1 - zmask(ji,jj) ) |
---|
1837 | v_i(ji,jj,jl) = v_i(ji,jj,jl) * ( 1 - zmask(ji,jj) ) |
---|
1838 | v_s(ji,jj,jl) = v_s(ji,jj,jl) * ( 1 - zmask(ji,jj) ) |
---|
1839 | t_su(ji,jj,jl) = t_su(ji,jj,jl) * (1 -zmask(ji,jj) ) + t_bo(ji,jj) * zmask(ji,jj) |
---|
1840 | oa_i(ji,jj,jl) = oa_i(ji,jj,jl) * ( 1 - zmask(ji,jj) ) |
---|
1841 | smv_i(ji,jj,jl) = smv_i(ji,jj,jl) * ( 1 - zmask(ji,jj) ) |
---|
1842 | |
---|
1843 | END DO ! ji |
---|
1844 | END DO ! jj |
---|
1845 | |
---|
1846 | END DO ! jl |
---|
1847 | |
---|
1848 | END SUBROUTINE lim_itd_me_zapsmall |
---|
1849 | |
---|
1850 | #else |
---|
1851 | !!====================================================================== |
---|
1852 | !! *** MODULE limitd_me *** |
---|
1853 | !! no sea ice model |
---|
1854 | !!====================================================================== |
---|
1855 | |
---|
1856 | CONTAINS |
---|
1857 | |
---|
1858 | SUBROUTINE lim_itd_me ! Empty routines |
---|
1859 | END SUBROUTINE lim_itd_me |
---|
1860 | SUBROUTINE lim_itd_me_icestrength |
---|
1861 | END SUBROUTINE lim_itd_me_icestrength |
---|
1862 | SUBROUTINE lim_itd_me_ridgeprep |
---|
1863 | END SUBROUTINE lim_itd_me_ridgeprep |
---|
1864 | SUBROUTINE lim_itd_me_ridgeshift |
---|
1865 | END SUBROUTINE lim_itd_me_ridgeshift |
---|
1866 | SUBROUTINE lim_itd_me_asumr |
---|
1867 | END SUBROUTINE lim_itd_me_asumr |
---|
1868 | SUBROUTINE lim_itd_me_sort |
---|
1869 | END SUBROUTINE lim_itd_me_sort |
---|
1870 | SUBROUTINE lim_itd_me_init |
---|
1871 | END SUBROUTINE lim_itd_me_init |
---|
1872 | SUBROUTINE lim_itd_me_zapsmall |
---|
1873 | END SUBROUTINE lim_itd_me_zapsmall |
---|
1874 | #endif |
---|
1875 | END MODULE limitd_me |
---|