1 | MODULE limdyn |
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2 | !!====================================================================== |
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3 | !! *** MODULE limdyn *** |
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4 | !! Sea-Ice dynamics : |
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5 | !!====================================================================== |
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6 | #if defined key_lim3 |
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7 | !!---------------------------------------------------------------------- |
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8 | !! 'key_lim3' : LIM3 sea-ice model |
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9 | !!---------------------------------------------------------------------- |
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10 | !! lim_dyn : computes ice velocities |
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11 | !! lim_dyn_init : initialization and namelist read |
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12 | !!---------------------------------------------------------------------- |
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13 | !! * Modules used |
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14 | USE phycst |
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15 | USE in_out_manager ! I/O manager |
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16 | USE dom_ice |
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17 | USE dom_oce ! ocean space and time domain |
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18 | USE taumod |
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19 | USE ice |
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20 | USE par_ice |
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21 | USE ice_oce |
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22 | USE iceini |
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23 | USE limistate |
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24 | USE limrhg ! ice rheology |
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25 | USE lbclnk |
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26 | USE lib_mpp |
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27 | USE prtctl ! Print control |
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28 | |
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29 | IMPLICIT NONE |
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30 | PRIVATE |
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31 | |
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32 | !! * Accessibility |
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33 | PUBLIC lim_dyn ! routine called by ice_step |
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34 | |
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35 | !! * Substitutions |
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36 | # include "vectopt_loop_substitute.h90" |
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37 | |
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38 | !! * Module variables |
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39 | REAL(wp) :: rone = 1.e0 ! constant value |
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40 | |
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41 | !!---------------------------------------------------------------------- |
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42 | !! LIM 3.0, UCL-ASTR-LOCEAN-IPSL (2008) |
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43 | !! $Header: /home/opalod/NEMOCVSROOT/NEMO/LIM_SRC/limdyn.F90,v 1.5 2005/03/27 18:34:41 opalod Exp $ |
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44 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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45 | !!---------------------------------------------------------------------- |
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46 | |
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47 | CONTAINS |
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48 | |
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49 | SUBROUTINE lim_dyn |
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50 | !!------------------------------------------------------------------- |
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51 | !! *** ROUTINE lim_dyn *** |
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52 | !! |
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53 | !! ** Purpose : compute ice velocity and ocean-ice stress |
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54 | !! |
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55 | !! ** Method : |
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56 | !! |
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57 | !! ** Action : - Initialisation |
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58 | !! - Call of the dynamic routine for each hemisphere |
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59 | !! - computation of the stress at the ocean surface |
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60 | !! - treatment of the case if no ice dynamic |
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61 | !! History : |
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62 | !! 1.0 ! 01-04 (LIM) Original code |
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63 | !! 2.0 ! 02-08 (C. Ethe, G. Madec) F90, mpp |
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64 | !! 3.0 ! 2007-03 (M.A. Morales Maqueda, S. Bouillon, M. Vancoppenolle) |
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65 | !! LIM3, EVP, C-grid |
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66 | !!------------------------------------------------------------------------------------ |
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67 | !! * Local variables |
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68 | INTEGER :: ji, jj, jl, ja ! dummy loop indices |
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69 | INTEGER :: i_j1, i_jpj ! Starting/ending j-indices for rheology |
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70 | |
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71 | REAL(wp) :: & |
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72 | ztairx, ztairy, & ! tempory scalars |
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73 | zsang , zmod, & |
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74 | ztglx , ztgly , & |
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75 | zt11, zt12, zt21, zt22 , & |
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76 | zustm, & |
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77 | zsfrldmx2, zsfrldmy2, & |
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78 | zu_ice, zv_ice, ztair2 |
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79 | |
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80 | REAL(wp),DIMENSION(jpj) :: & |
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81 | zind, & ! i-averaged indicator of sea-ice |
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82 | zmsk ! i-averaged of tmask |
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83 | !!--------------------------------------------------------------------- |
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84 | |
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85 | WRITE(numout,*) ' lim_dyn : Ice dynamics ' |
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86 | WRITE(numout,*) ' ~~~~~~~ ' |
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87 | |
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88 | IF( numit == nstart ) CALL lim_dyn_init ! Initialization (first time-step only) |
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89 | |
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90 | IF ( ln_limdyn ) THEN |
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91 | |
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92 | ! ocean velocity |
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93 | u_oce(:,:) = u_io(:,:) * tmu(:,:) |
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94 | v_oce(:,:) = v_io(:,:) * tmv(:,:) |
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95 | |
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96 | old_u_ice(:,:) = u_ice(:,:) * tmu(:,:) |
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97 | old_v_ice(:,:) = v_ice(:,:) * tmv(:,:) |
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98 | |
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99 | ! Rheology (ice dynamics) |
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100 | ! ======== |
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101 | |
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102 | ! Define the j-limits where ice rheology is computed |
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103 | ! --------------------------------------------------- |
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104 | |
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105 | IF( lk_mpp .OR. nbit_cmp == 1 ) THEN ! mpp: compute over the whole domain |
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106 | i_j1 = 1 |
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107 | i_jpj = jpj |
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108 | IF(ln_ctl) CALL prt_ctl_info( 'lim_dyn : i_j1 = ', ivar1=i_j1, clinfo2=' ij_jpj = ', ivar2=i_jpj ) |
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109 | CALL lim_rhg( i_j1, i_jpj ) |
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110 | ELSE ! optimization of the computational area |
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111 | |
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112 | DO jj = 1, jpj |
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113 | zind(jj) = SUM( 1.0 - at_i (:,jj ) ) ! = FLOAT(jpj) if ocean everywhere on a j-line |
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114 | zmsk(jj) = SUM( tmask(:,jj,1) ) ! = 0 if land everywhere on a j-line |
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115 | END DO |
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116 | |
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117 | IF( l_jeq ) THEN ! local domain include both hemisphere |
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118 | ! ! Rheology is computed in each hemisphere |
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119 | ! ! only over the ice cover latitude strip |
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120 | ! Northern hemisphere |
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121 | i_j1 = njeq |
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122 | i_jpj = jpj |
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123 | DO WHILE ( i_j1 <= jpj .AND. zind(i_j1) == FLOAT(jpi) .AND. zmsk(i_j1) /=0 ) |
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124 | i_j1 = i_j1 + 1 |
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125 | END DO |
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126 | i_j1 = MAX( 1, i_j1-1 ) |
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127 | IF(ln_ctl) CALL prt_ctl_info( 'lim_dyn : NH i_j1 = ', ivar1=i_j1, clinfo2=' ij_jpj = ', ivar2=i_jpj ) |
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128 | CALL lim_rhg( i_j1, i_jpj ) |
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129 | |
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130 | ! Southern hemisphere |
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131 | i_j1 = 1 |
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132 | i_jpj = njeq |
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133 | DO WHILE ( i_jpj >= 1 .AND. zind(i_jpj) == FLOAT(jpi) .AND. zmsk(i_jpj) /=0 ) |
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134 | i_jpj = i_jpj - 1 |
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135 | END DO |
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136 | i_jpj = MIN( jpj, i_jpj+2 ) |
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137 | IF(ln_ctl) CALL prt_ctl_info( 'lim_dyn : SH i_j1 = ', ivar1=i_j1, clinfo2=' ij_jpj = ', ivar2=i_jpj ) |
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138 | |
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139 | CALL lim_rhg( i_j1, i_jpj ) |
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140 | |
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141 | ELSE ! local domain extends over one hemisphere only |
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142 | ! ! Rheology is computed only over the ice cover |
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143 | ! ! latitude strip |
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144 | i_j1 = 1 |
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145 | DO WHILE ( i_j1 <= jpj .AND. zind(i_j1) == FLOAT(jpi) .AND. zmsk(i_j1) /=0 ) |
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146 | i_j1 = i_j1 + 1 |
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147 | END DO |
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148 | i_j1 = MAX( 1, i_j1-1 ) |
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149 | |
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150 | i_jpj = jpj |
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151 | DO WHILE ( i_jpj >= 1 .AND. zind(i_jpj) == FLOAT(jpi) .AND. zmsk(i_jpj) /=0 ) |
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152 | i_jpj = i_jpj - 1 |
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153 | END DO |
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154 | i_jpj = MIN( jpj, i_jpj+2) |
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155 | |
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156 | IF(ln_ctl) CALL prt_ctl_info( 'lim_dyn : one hemisphere: i_j1 = ', ivar1=i_j1, clinfo2=' ij_jpj = ', ivar2=i_jpj ) |
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157 | |
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158 | CALL lim_rhg( i_j1, i_jpj ) |
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159 | |
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160 | ENDIF |
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161 | |
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162 | ENDIF |
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163 | |
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164 | ! Ice-Ocean stress |
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165 | ! ================ |
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166 | DO jj = 2, jpjm1 |
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167 | zsang = SIGN(1.e0, gphif(1,jj-1) ) * sangvg |
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168 | |
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169 | DO ji = fs_2, fs_jpim1 |
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170 | ! computation of wind stress over ocean in X and Y direction |
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171 | #if defined key_coupled && defined key_lim_cp1 |
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172 | ! ztairx = ( 1.0 - at_i(ji-1,jj) ) * gtaux(ji-1,jj) + & |
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173 | ! ( 1.0 - at_i(ji,jj) ) * gtaux(ji,jj ) + & |
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174 | ! ( 1.0 - at_i(ji-1,jj-1) ) * gtaux(ji-1,jj-1) + & |
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175 | ! ( 1.0 - at_i(ji,jj-1) ) * gtaux(ji,jj-1) |
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176 | |
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177 | ! ztairy = ( 1.0 - at_i(ji-1,jj) ) * gtauy(ji-1,jj ) + & |
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178 | ! ( 1.0 - at_i(ji,jj ) ) * gtauy(ji,jj ) + & |
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179 | ! ( 1.0 - at_i(ji-1,jj-1) ) * gtauy(ji-1,jj-1) + & |
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180 | ! ( 1.0 - at_i(ji,jj-1) ) * gtauy(ji,jj-1) |
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181 | #else |
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182 | ztairx = ( 2.0 - at_i(ji,jj) - at_i(ji+1,jj) ) * gtaux(ji,jj) / cai * cao |
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183 | ztairy = ( 2.0 - at_i(ji,jj) - at_i(ji,jj+1) ) * gtauy(ji,jj) / cai * cao |
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184 | |
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185 | zsfrldmx2 = at_i(ji,jj) + at_i(ji+1,jj) |
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186 | zsfrldmy2 = at_i(ji,jj) + at_i(ji,jj+1) |
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187 | |
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188 | #endif |
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189 | zu_ice = u_ice(ji,jj) - u_oce(ji,jj) |
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190 | zv_ice = v_ice(ji,jj) - v_oce(ji,jj) |
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191 | zmod = SQRT( zu_ice * zu_ice + zv_ice * zv_ice ) |
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192 | |
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193 | ! quadratic drag formulation |
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194 | ztglx = zsfrldmx2 * rhoco * zmod * ( cangvg * zu_ice - zsang * zv_ice ) |
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195 | ztgly = zsfrldmy2 * rhoco * zmod * ( cangvg * zv_ice + zsang * zu_ice ) |
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196 | ! |
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197 | ! ! IMPORTANT |
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198 | ! ! these lignes are bound to prevent numerical oscillations |
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199 | ! ! in the ice-ocean stress |
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200 | ! ! They are physically ill-based. There is a cleaner solution |
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201 | ! ! to try (remember discussion in Paris Gurvan) |
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202 | ! |
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203 | ztglx = ztglx * exp( - zmod / 0.5 ) |
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204 | ztgly = ztglx * exp( - zmod / 0.5 ) |
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205 | |
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206 | tio_u(ji,jj) = - ( ztairx + 1.0 * ztglx ) / ( 2. * rau0 ) |
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207 | tio_v(ji,jj) = - ( ztairy + 1.0 * ztgly ) / ( 2. * rau0 ) |
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208 | END DO |
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209 | END DO |
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210 | |
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211 | ! computation of friction velocity |
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212 | DO jj = 2, jpjm1 |
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213 | DO ji = fs_2, fs_jpim1 |
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214 | |
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215 | zu_ice = u_ice(ji,jj) - u_io(ji,jj) |
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216 | zt11 = rhoco * zu_ice * zu_ice |
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217 | |
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218 | zu_ice = u_ice(ji-1,jj) - u_io(ji-1,jj) |
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219 | zt12 = rhoco * zu_ice * zu_ice |
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220 | |
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221 | zv_ice = v_ice(ji,jj) - v_io(ji,jj) |
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222 | zt21 = rhoco * zv_ice * zv_ice |
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223 | |
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224 | zv_ice = v_ice(ji,jj-1) - v_io(ji,jj-1) |
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225 | zt22 = rhoco * zv_ice * zv_ice |
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226 | ztair2 = ( ( gtaux(ji,jj) + gtaux(ji-1,jj) ) / 2. )**2 + & |
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227 | ( ( gtauy(ji,jj) + gtauy(ji,jj-1) ) / 2. )**2 |
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228 | |
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229 | ! should not be weighted |
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230 | zustm = ( at_i(ji,jj) ) * 0.5 * ( zt11 + zt12 + zt21 + zt22 ) & |
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231 | & + ( 1.0 - at_i(ji,jj) ) * SQRT( ztair2 ) |
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232 | |
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233 | ust2s(ji,jj) = ( zustm / rau0 ) * ( rone + sdvt(ji,jj) ) * tms(ji,jj) |
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234 | |
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235 | END DO |
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236 | END DO |
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237 | |
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238 | ELSE ! If no ice dynamics |
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239 | |
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240 | ! virer ca (key_lim_cp1) |
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241 | DO jj = 2, jpjm1 |
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242 | DO ji = fs_2, fs_jpim1 |
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243 | #if defined key_coupled && defined key_lim_cp1 |
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244 | tio_u(ji,jj) = - ( gtaux(ji ,jj ) + gtaux(ji-1,jj ) & |
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245 | & + gtaux(ji-1,jj-1) + gtaux(ji ,jj-1) ) / ( 4 * rau0 ) |
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246 | |
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247 | tio_v(ji,jj) = - ( gtauy(ji ,jj ) + gtauy(ji-1,jj ) & |
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248 | & + gtauy(ji-1,jj-1) + gtauy(ji ,jj-1) ) / ( 4 * rau0 ) |
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249 | #else |
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250 | tio_u(ji,jj) = - gtaux(ji,jj) / cai * cao / rau0 |
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251 | tio_v(ji,jj) = - gtauy(ji,jj) / cai * cao / rau0 |
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252 | #endif |
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253 | ztair2 = ( ( gtaux(ji,jj) + gtaux(ji-1,jj) ) / 2. )**2 + & |
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254 | ( ( gtauy(ji,jj) + gtauy(ji,jj-1) ) / 2. )**2 |
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255 | zustm = SQRT( ztair2 ) |
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256 | |
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257 | ust2s(ji,jj) = ( zustm / rau0 ) * ( rone + sdvt(ji,jj) ) * tms(ji,jj) |
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258 | END DO |
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259 | END DO |
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260 | |
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261 | ENDIF |
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262 | |
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263 | CALL lbc_lnk( ust2s, 'T', 1. ) ! T-point |
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264 | CALL lbc_lnk( tio_u, 'U', -1. ) ! I-point (i.e. ice U-V point) |
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265 | CALL lbc_lnk( tio_v, 'V', -1. ) ! I-point (i.e. ice U-V point) |
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266 | |
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267 | IF(ln_ctl) THEN ! Control print |
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268 | CALL prt_ctl_info(' ') |
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269 | CALL prt_ctl_info(' - Cell values : ') |
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270 | CALL prt_ctl_info(' ~~~~~~~~~~~~~ ') |
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271 | CALL prt_ctl(tab2d_1=tio_u , clinfo1=' lim_dyn : tio_u :', tab2d_2=tio_v , clinfo2=' tio_v :') |
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272 | CALL prt_ctl(tab2d_1=ust2s , clinfo1=' lim_dyn : ust2s :') |
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273 | CALL prt_ctl(tab2d_1=divu_i , clinfo1=' lim_dyn : divu_i :') |
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274 | CALL prt_ctl(tab2d_1=delta_i , clinfo1=' lim_dyn : delta_i :') |
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275 | CALL prt_ctl(tab2d_1=strength , clinfo1=' lim_dyn : strength :') |
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276 | CALL prt_ctl(tab2d_1=area , clinfo1=' lim_dyn : cell area :') |
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277 | CALL prt_ctl(tab2d_1=at_i , clinfo1=' lim_dyn : at_i :') |
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278 | CALL prt_ctl(tab2d_1=vt_i , clinfo1=' lim_dyn : vt_i :') |
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279 | CALL prt_ctl(tab2d_1=vt_s , clinfo1=' lim_dyn : vt_s :') |
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280 | CALL prt_ctl(tab2d_1=stress1_i , clinfo1=' lim_dyn : stress1_i :') |
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281 | CALL prt_ctl(tab2d_1=stress2_i , clinfo1=' lim_dyn : stress2_i :') |
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282 | CALL prt_ctl(tab2d_1=stress12_i, clinfo1=' lim_dyn : stress12_i:') |
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283 | DO jl = 1, jpl |
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284 | CALL prt_ctl_info(' ') |
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285 | CALL prt_ctl_info(' - Category : ', ivar1=jl) |
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286 | CALL prt_ctl_info(' ~~~~~~~~~~') |
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287 | CALL prt_ctl(tab2d_1=a_i (:,:,jl) , clinfo1= ' lim_dyn : a_i : ') |
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288 | CALL prt_ctl(tab2d_1=ht_i (:,:,jl) , clinfo1= ' lim_dyn : ht_i : ') |
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289 | CALL prt_ctl(tab2d_1=ht_s (:,:,jl) , clinfo1= ' lim_dyn : ht_s : ') |
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290 | CALL prt_ctl(tab2d_1=v_i (:,:,jl) , clinfo1= ' lim_dyn : v_i : ') |
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291 | CALL prt_ctl(tab2d_1=v_s (:,:,jl) , clinfo1= ' lim_dyn : v_s : ') |
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292 | CALL prt_ctl(tab2d_1=e_s (:,:,1,jl) , clinfo1= ' lim_dyn : e_s : ') |
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293 | CALL prt_ctl(tab2d_1=t_su (:,:,jl) , clinfo1= ' lim_dyn : t_su : ') |
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294 | CALL prt_ctl(tab2d_1=t_s (:,:,1,jl) , clinfo1= ' lim_dyn : t_snow : ') |
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295 | CALL prt_ctl(tab2d_1=sm_i (:,:,jl) , clinfo1= ' lim_dyn : sm_i : ') |
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296 | CALL prt_ctl(tab2d_1=smv_i (:,:,jl) , clinfo1= ' lim_dyn : smv_i : ') |
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297 | DO ja = 1, nlay_i |
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298 | CALL prt_ctl_info(' ') |
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299 | CALL prt_ctl_info(' - Layer : ', ivar1=ja) |
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300 | CALL prt_ctl_info(' ~~~~~~~') |
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301 | CALL prt_ctl(tab2d_1=t_i(:,:,ja,jl) , clinfo1= ' lim_dyn : t_i : ') |
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302 | CALL prt_ctl(tab2d_1=e_i(:,:,ja,jl) , clinfo1= ' lim_dyn : e_i : ') |
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303 | END DO |
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304 | END DO |
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305 | ENDIF |
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306 | |
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307 | END SUBROUTINE lim_dyn |
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308 | |
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309 | SUBROUTINE lim_dyn_init |
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310 | !!------------------------------------------------------------------- |
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311 | !! *** ROUTINE lim_dyn_init *** |
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312 | !! |
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313 | !! ** Purpose : Physical constants and parameters linked to the ice |
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314 | !! dynamics |
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315 | !! |
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316 | !! ** Method : Read the namicedyn namelist and check the ice-dynamic |
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317 | !! parameter values called at the first timestep (nit000) |
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318 | !! |
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319 | !! ** input : Namelist namicedyn |
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320 | !! |
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321 | !! history : |
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322 | !! 8.5 ! 03-08 (C. Ethe) original code |
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323 | !! 9.0 ! 07-03 (MA Morales Maqueda, S. Bouillon, M. Vancoppenolle) |
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324 | !! EVP-Cgrid-LIM3 |
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325 | !!------------------------------------------------------------------- |
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326 | NAMELIST/namicedyn/ epsd, alpha, & |
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327 | & dm, nbiter, nbitdr, om, resl, cw, angvg, pstar, & |
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328 | & c_rhg, etamn, creepl, ecc, ahi0, & |
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329 | & nevp, telast, alphaevp |
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330 | !!------------------------------------------------------------------- |
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331 | |
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332 | ! Define the initial parameters |
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333 | ! ------------------------- |
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334 | |
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335 | ! Read Namelist namicedyn |
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336 | REWIND ( numnam_ice ) |
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337 | READ ( numnam_ice , namicedyn ) |
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338 | IF(lwp) THEN |
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339 | WRITE(numout,*) |
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340 | WRITE(numout,*) 'lim_dyn_init : ice parameters for ice dynamics ' |
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341 | WRITE(numout,*) '~~~~~~~~~~~~' |
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342 | WRITE(numout,*) ' tolerance parameter epsd = ', epsd |
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343 | WRITE(numout,*) ' coefficient for semi-implicit coriolis alpha = ', alpha |
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344 | WRITE(numout,*) ' diffusion constant for dynamics dm = ', dm |
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345 | WRITE(numout,*) ' number of sub-time steps for relaxation nbiter = ', nbiter |
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346 | WRITE(numout,*) ' maximum number of iterations for relaxation nbitdr = ', nbitdr |
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347 | WRITE(numout,*) ' relaxation constant om = ', om |
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348 | WRITE(numout,*) ' maximum value for the residual of relaxation resl = ', resl |
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349 | WRITE(numout,*) ' drag coefficient for oceanic stress cw = ', cw |
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350 | WRITE(numout,*) ' turning angle for oceanic stress angvg = ', angvg |
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351 | WRITE(numout,*) ' first bulk-rheology parameter pstar = ', pstar |
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352 | WRITE(numout,*) ' second bulk-rhelogy parameter c_rhg = ', c_rhg |
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353 | WRITE(numout,*) ' minimun value for viscosity etamn = ', etamn |
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354 | WRITE(numout,*) ' creep limit creepl = ', creepl |
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355 | WRITE(numout,*) ' eccentricity of the elliptical yield curve ecc = ', ecc |
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356 | WRITE(numout,*) ' horizontal diffusivity coeff. for sea-ice ahi0 = ', ahi0 |
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357 | WRITE(numout,*) ' number of iterations for subcycling nevp = ', nevp |
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358 | WRITE(numout,*) ' timescale for elastic waves telast = ', telast |
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359 | WRITE(numout,*) ' coefficient for the solution of int. stresses alphaevp = ', alphaevp |
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360 | |
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361 | ENDIF |
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362 | |
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363 | usecc2 = 1.0 / ( ecc * ecc ) |
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364 | rhoco = rau0 * cw |
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365 | angvg = angvg * rad |
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366 | sangvg = SIN( angvg ) |
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367 | cangvg = COS( angvg ) |
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368 | pstarh = pstar / 2.0 |
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369 | |
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370 | ! Diffusion coefficients. |
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371 | ahiu(:,:) = ahi0 * umask(:,:,1) |
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372 | ahiv(:,:) = ahi0 * vmask(:,:,1) |
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373 | |
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374 | END SUBROUTINE lim_dyn_init |
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375 | |
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376 | #else |
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377 | !!---------------------------------------------------------------------- |
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378 | !! Default option Empty module NO LIM sea-ice model |
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379 | !!---------------------------------------------------------------------- |
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380 | CONTAINS |
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381 | SUBROUTINE lim_dyn ! Empty routine |
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382 | END SUBROUTINE lim_dyn |
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383 | #endif |
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384 | |
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385 | !!====================================================================== |
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386 | END MODULE limdyn |
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