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 | !! history : 1.0 ! 2002-08 (C. Ethe, G. Madec) original VP code |
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7 | !! 3.0 ! 2007-03 (MA Morales Maqueda, S. Bouillon, M. Vancoppenolle) LIM3: EVP-Cgrid |
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8 | !! 4.0 ! 2011-02 (G. Madec) dynamical allocation |
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9 | !!---------------------------------------------------------------------- |
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10 | #if defined key_lim3 |
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11 | !!---------------------------------------------------------------------- |
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12 | !! 'key_lim3' : LIM3 sea-ice model |
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13 | !!---------------------------------------------------------------------- |
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14 | !! lim_dyn : computes ice velocities |
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15 | !! lim_dyn_init : initialization and namelist read |
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16 | !!---------------------------------------------------------------------- |
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17 | USE phycst ! physical constants |
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18 | USE dom_oce ! ocean space and time domain |
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19 | USE sbc_oce ! Surface boundary condition: ocean fields |
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20 | USE sbc_ice ! Surface boundary condition: ice fields |
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21 | USE ice ! LIM-3 variables |
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22 | USE par_ice ! LIM-3 parameters |
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23 | USE dom_ice ! LIM-3 domain |
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24 | USE limrhg ! LIM-3 rheology |
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25 | USE lbclnk ! lateral boundary conditions - MPP exchanges |
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26 | USE lib_mpp ! MPP library |
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27 | USE wrk_nemo ! work arrays |
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28 | USE in_out_manager ! I/O manager |
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29 | USE prtctl ! Print control |
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30 | USE lib_fortran ! glob_sum |
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31 | |
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32 | IMPLICIT NONE |
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33 | PRIVATE |
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34 | |
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35 | PUBLIC lim_dyn ! routine called by ice_step |
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36 | |
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37 | !! * Substitutions |
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38 | # include "vectopt_loop_substitute.h90" |
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39 | !!---------------------------------------------------------------------- |
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40 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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41 | !! $Id: limdyn.F90 3294 2012-01-28 16:44:18Z rblod $ |
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42 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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43 | !!---------------------------------------------------------------------- |
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44 | CONTAINS |
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45 | |
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46 | SUBROUTINE lim_dyn( kt ) |
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47 | !!------------------------------------------------------------------- |
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48 | !! *** ROUTINE lim_dyn *** |
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49 | !! |
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50 | !! ** Purpose : compute ice velocity and ocean-ice stress |
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51 | !! |
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52 | !! ** Method : |
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53 | !! |
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54 | !! ** Action : - Initialisation |
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55 | !! - Call of the dynamic routine for each hemisphere |
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56 | !! - computation of the stress at the ocean surface |
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57 | !! - treatment of the case if no ice dynamic |
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58 | !!------------------------------------------------------------------------------------ |
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59 | INTEGER, INTENT(in) :: kt ! number of iteration |
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60 | !! |
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61 | INTEGER :: ji, jj, jl, ja ! dummy loop indices |
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62 | INTEGER :: i_j1, i_jpj ! Starting/ending j-indices for rheology |
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63 | REAL(wp) :: zcoef ! local scalar |
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64 | REAL(wp), POINTER, DIMENSION(:) :: zind ! i-averaged indicator of sea-ice |
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65 | REAL(wp), POINTER, DIMENSION(:) :: zmsk ! i-averaged of tmask |
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66 | REAL(wp), POINTER, DIMENSION(:,:) :: zu_io, zv_io ! ice-ocean velocity |
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67 | REAL(wp) :: zchk_v_i, zchk_smv, zchk_fs, zchk_fw, zchk_v_i_b, zchk_smv_b, zchk_fs_b, zchk_fw_b ! Check conservation (C Rousset) |
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68 | !!--------------------------------------------------------------------- |
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69 | |
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70 | CALL wrk_alloc( jpi, jpj, zu_io, zv_io ) |
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71 | CALL wrk_alloc( jpj, zind, zmsk ) |
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72 | |
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73 | ! ------------------------------- |
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74 | !- check conservation (C Rousset) |
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75 | IF (ln_limdiahsb) THEN |
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76 | zchk_v_i_b = glob_sum( SUM( v_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) |
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77 | zchk_smv_b = glob_sum( SUM( smv_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) |
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78 | zchk_fw_b = glob_sum( rdmicif(:,:) * area(:,:) * tms(:,:) ) |
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79 | zchk_fs_b = glob_sum( ( fsbri(:,:) + fseqv(:,:) + fsalt_res(:,:) + fsalt_rpo(:,:) ) * area(:,:) * tms(:,:) ) |
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80 | ENDIF |
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81 | !- check conservation (C Rousset) |
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82 | ! ------------------------------- |
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83 | |
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84 | IF( kt == nit000 ) CALL lim_dyn_init ! Initialization (first time-step only) |
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85 | |
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86 | IF( ln_limdyn ) THEN |
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87 | ! |
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88 | old_u_ice(:,:) = u_ice(:,:) * tmu(:,:) |
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89 | old_v_ice(:,:) = v_ice(:,:) * tmv(:,:) |
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90 | |
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91 | ! Rheology (ice dynamics) |
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92 | ! ======== |
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93 | |
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94 | ! Define the j-limits where ice rheology is computed |
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95 | ! --------------------------------------------------- |
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96 | |
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97 | IF( lk_mpp .OR. lk_mpp_rep ) THEN ! mpp: compute over the whole domain |
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98 | i_j1 = 1 |
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99 | i_jpj = jpj |
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100 | IF(ln_ctl) CALL prt_ctl_info( 'lim_dyn : i_j1 = ', ivar1=i_j1, clinfo2=' ij_jpj = ', ivar2=i_jpj ) |
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101 | CALL lim_rhg( i_j1, i_jpj ) |
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102 | ELSE ! optimization of the computational area |
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103 | ! |
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104 | DO jj = 1, jpj |
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105 | zind(jj) = SUM( 1.0 - at_i(:,jj) ) ! = REAL(jpj) if ocean everywhere on a j-line |
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106 | zmsk(jj) = SUM( tmask(:,jj,1) ) ! = 0 if land everywhere on a j-line |
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107 | END DO |
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108 | |
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109 | IF( l_jeq ) THEN ! local domain include both hemisphere |
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110 | ! ! Rheology is computed in each hemisphere |
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111 | ! ! only over the ice cover latitude strip |
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112 | ! Northern hemisphere |
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113 | i_j1 = njeq |
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114 | i_jpj = jpj |
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115 | DO WHILE ( i_j1 <= jpj .AND. zind(i_j1) == FLOAT(jpi) .AND. zmsk(i_j1) /=0 ) |
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116 | i_j1 = i_j1 + 1 |
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117 | END DO |
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118 | i_j1 = MAX( 1, i_j1-2 ) |
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119 | 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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120 | CALL lim_rhg( i_j1, i_jpj ) |
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121 | ! |
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122 | ! Southern hemisphere |
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123 | i_j1 = 1 |
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124 | i_jpj = njeq |
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125 | DO WHILE ( i_jpj >= 1 .AND. zind(i_jpj) == FLOAT(jpi) .AND. zmsk(i_jpj) /=0 ) |
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126 | i_jpj = i_jpj - 1 |
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127 | END DO |
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128 | i_jpj = MIN( jpj, i_jpj+1 ) |
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129 | 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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130 | ! |
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131 | CALL lim_rhg( i_j1, i_jpj ) |
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132 | ! |
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133 | ELSE ! local domain extends over one hemisphere only |
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134 | ! ! Rheology is computed only over the ice cover |
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135 | ! ! latitude strip |
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136 | i_j1 = 1 |
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137 | DO WHILE ( i_j1 <= jpj .AND. zind(i_j1) == FLOAT(jpi) .AND. zmsk(i_j1) /=0 ) |
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138 | i_j1 = i_j1 + 1 |
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139 | END DO |
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140 | i_j1 = MAX( 1, i_j1-2 ) |
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141 | |
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142 | i_jpj = jpj |
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143 | DO WHILE ( i_jpj >= 1 .AND. zind(i_jpj) == FLOAT(jpi) .AND. zmsk(i_jpj) /=0 ) |
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144 | i_jpj = i_jpj - 1 |
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145 | END DO |
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146 | i_jpj = MIN( jpj, i_jpj+1) |
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147 | ! |
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148 | 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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149 | ! |
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150 | CALL lim_rhg( i_j1, i_jpj ) |
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151 | ! |
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152 | ENDIF |
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153 | ! |
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154 | ENDIF |
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155 | |
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156 | ! computation of friction velocity |
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157 | ! -------------------------------- |
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158 | ! ice-ocean velocity at U & V-points (u_ice v_ice at U- & V-points ; ssu_m, ssv_m at U- & V-points) |
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159 | zu_io(:,:) = u_ice(:,:) - ssu_m(:,:) |
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160 | zv_io(:,:) = v_ice(:,:) - ssv_m(:,:) |
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161 | ! frictional velocity at T-point |
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162 | zcoef = 0.5_wp * cw |
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163 | DO jj = 2, jpjm1 |
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164 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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165 | ust2s(ji,jj) = zcoef * ( zu_io(ji,jj) * zu_io(ji,jj) + zu_io(ji-1,jj) * zu_io(ji-1,jj) & |
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166 | & + zv_io(ji,jj) * zv_io(ji,jj) + zv_io(ji,jj-1) * zv_io(ji,jj-1) ) * tms(ji,jj) |
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167 | END DO |
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168 | END DO |
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169 | ! |
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170 | ELSE ! no ice dynamics : transmit directly the atmospheric stress to the ocean |
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171 | ! |
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172 | zcoef = SQRT( 0.5_wp ) / rau0 |
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173 | DO jj = 2, jpjm1 |
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174 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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175 | ust2s(ji,jj) = zcoef * SQRT( utau(ji,jj) * utau(ji,jj) + utau(ji-1,jj) * utau(ji-1,jj) & |
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176 | & + vtau(ji,jj) * vtau(ji,jj) + vtau(ji,jj-1) * vtau(ji,jj-1) ) * tms(ji,jj) |
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177 | END DO |
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178 | END DO |
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179 | ! |
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180 | ENDIF |
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181 | CALL lbc_lnk( ust2s, 'T', 1. ) ! T-point |
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182 | |
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183 | IF(ln_ctl) THEN ! Control print |
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184 | CALL prt_ctl_info(' ') |
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185 | CALL prt_ctl_info(' - Cell values : ') |
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186 | CALL prt_ctl_info(' ~~~~~~~~~~~~~ ') |
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187 | CALL prt_ctl(tab2d_1=ust2s , clinfo1=' lim_dyn : ust2s :') |
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188 | CALL prt_ctl(tab2d_1=divu_i , clinfo1=' lim_dyn : divu_i :') |
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189 | CALL prt_ctl(tab2d_1=delta_i , clinfo1=' lim_dyn : delta_i :') |
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190 | CALL prt_ctl(tab2d_1=strength , clinfo1=' lim_dyn : strength :') |
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191 | CALL prt_ctl(tab2d_1=area , clinfo1=' lim_dyn : cell area :') |
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192 | CALL prt_ctl(tab2d_1=at_i , clinfo1=' lim_dyn : at_i :') |
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193 | CALL prt_ctl(tab2d_1=vt_i , clinfo1=' lim_dyn : vt_i :') |
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194 | CALL prt_ctl(tab2d_1=vt_s , clinfo1=' lim_dyn : vt_s :') |
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195 | CALL prt_ctl(tab2d_1=stress1_i , clinfo1=' lim_dyn : stress1_i :') |
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196 | CALL prt_ctl(tab2d_1=stress2_i , clinfo1=' lim_dyn : stress2_i :') |
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197 | CALL prt_ctl(tab2d_1=stress12_i, clinfo1=' lim_dyn : stress12_i:') |
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198 | DO jl = 1, jpl |
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199 | CALL prt_ctl_info(' ') |
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200 | CALL prt_ctl_info(' - Category : ', ivar1=jl) |
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201 | CALL prt_ctl_info(' ~~~~~~~~~~') |
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202 | CALL prt_ctl(tab2d_1=a_i (:,:,jl) , clinfo1= ' lim_dyn : a_i : ') |
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203 | CALL prt_ctl(tab2d_1=ht_i (:,:,jl) , clinfo1= ' lim_dyn : ht_i : ') |
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204 | CALL prt_ctl(tab2d_1=ht_s (:,:,jl) , clinfo1= ' lim_dyn : ht_s : ') |
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205 | CALL prt_ctl(tab2d_1=v_i (:,:,jl) , clinfo1= ' lim_dyn : v_i : ') |
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206 | CALL prt_ctl(tab2d_1=v_s (:,:,jl) , clinfo1= ' lim_dyn : v_s : ') |
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207 | CALL prt_ctl(tab2d_1=e_s (:,:,1,jl) , clinfo1= ' lim_dyn : e_s : ') |
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208 | CALL prt_ctl(tab2d_1=t_su (:,:,jl) , clinfo1= ' lim_dyn : t_su : ') |
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209 | CALL prt_ctl(tab2d_1=t_s (:,:,1,jl) , clinfo1= ' lim_dyn : t_snow : ') |
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210 | CALL prt_ctl(tab2d_1=sm_i (:,:,jl) , clinfo1= ' lim_dyn : sm_i : ') |
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211 | CALL prt_ctl(tab2d_1=smv_i (:,:,jl) , clinfo1= ' lim_dyn : smv_i : ') |
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212 | DO ja = 1, nlay_i |
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213 | CALL prt_ctl_info(' ') |
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214 | CALL prt_ctl_info(' - Layer : ', ivar1=ja) |
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215 | CALL prt_ctl_info(' ~~~~~~~') |
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216 | CALL prt_ctl(tab2d_1=t_i(:,:,ja,jl) , clinfo1= ' lim_dyn : t_i : ') |
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217 | CALL prt_ctl(tab2d_1=e_i(:,:,ja,jl) , clinfo1= ' lim_dyn : e_i : ') |
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218 | END DO |
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219 | END DO |
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220 | ENDIF |
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221 | ! |
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222 | |
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223 | ! ------------------------------- |
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224 | !- check conservation (C Rousset) |
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225 | IF (ln_limdiahsb) THEN |
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226 | !INTEGER :: numhsb |
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227 | !CHARACTER (len=32) :: cl_name ! output file name |
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228 | !cl_name = 'heat_salt_volume_budgets.txt' ! name of output file |
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229 | |
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230 | zchk_fs = glob_sum( ( fsbri(:,:) + fseqv(:,:) + fsalt_res(:,:) + fsalt_rpo(:,:) ) * area(:,:) * tms(:,:) ) - zchk_fs_b |
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231 | zchk_fw = glob_sum( rdmicif(:,:) * area(:,:) * tms(:,:) ) - zchk_fw_b |
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232 | |
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233 | zchk_v_i = ( glob_sum( SUM( v_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) - zchk_v_i_b - ( zchk_fw / rhoic ) ) / rdt_ice |
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234 | zchk_smv = ( glob_sum( SUM( smv_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) - zchk_smv_b ) / rdt_ice + ( zchk_fs / rhoic ) |
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235 | |
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236 | IF(lwp) THEN |
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237 | IF ( ABS( zchk_v_i ) > 1.e-5 ) WRITE(numout,*) 'violation volume [m3/day] (limdyn) = ',(zchk_v_i * 86400.) |
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238 | IF ( ABS( zchk_smv ) > 1.e-4 ) WRITE(numout,*) 'violation saline [psu*m3/day] (limdyn) = ',(zchk_smv * 86400.) |
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239 | IF ( MINVAL( v_i(:,:,:) ) < 0. ) WRITE(numout,*) 'violation v_i<0 [mm] (limdyn) = ',(MINVAL(v_i) * 1.e-3) |
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240 | IF ( MAXVAL( SUM(a_i(:,:,:),dim=3) ) > amax+1.e-10 ) WRITE(numout,*) 'violation a_i>amax (limdyn) = ',MAXVAL(SUM(a_i,dim=3)) |
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241 | ENDIF |
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242 | !CALL ctl_opn( numhsb , cl_name , 'UNKNOWN' , 'FORMATTED' , 'SEQUENTIAL' , 1 , numout , lwp , 1 ) |
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243 | ! |
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244 | !WRITE( numhsb, 9010 ) "kt | heat content budget | salt content budget ", & |
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245 | ! & "| volume budget (ssh) ", & |
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246 | ! & "| volume budget (e3t) " |
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247 | !WRITE( numhsb, 9010 ) " | [C] [W/m2] | [psu] [mmm/s] [SV] ", & |
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248 | ! & "| [m3] [mmm/s] [SV] ", & |
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249 | ! & "| [m3] [mmm/s] [SV] " |
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250 | !IF ( kt == nitend ) CLOSE( numhsb ) |
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251 | |
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252 | !9010 FORMAT(A80,A45,A45) |
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253 | ENDIF |
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254 | !- check conservation (C Rousset) |
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255 | ! ------------------------------- |
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256 | |
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257 | CALL wrk_dealloc( jpi, jpj, zu_io, zv_io ) |
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258 | CALL wrk_dealloc( jpj, zind, zmsk ) |
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259 | ! |
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260 | END SUBROUTINE lim_dyn |
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261 | |
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262 | |
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263 | SUBROUTINE lim_dyn_init |
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264 | !!------------------------------------------------------------------- |
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265 | !! *** ROUTINE lim_dyn_init *** |
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266 | !! |
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267 | !! ** Purpose : Physical constants and parameters linked to the ice |
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268 | !! dynamics |
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269 | !! |
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270 | !! ** Method : Read the namicedyn namelist and check the ice-dynamic |
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271 | !! parameter values called at the first timestep (nit000) |
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272 | !! |
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273 | !! ** input : Namelist namicedyn |
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274 | !!------------------------------------------------------------------- |
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275 | NAMELIST/namicedyn/ epsd, alpha, & |
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276 | & dm, nbiter, nbitdr, om, resl, cw, angvg, pstar, & |
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277 | & c_rhg, etamn, creepl, ecc, ahi0, & |
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278 | & nevp, telast, alphaevp, hminrhg |
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279 | !!------------------------------------------------------------------- |
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280 | |
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281 | REWIND( numnam_ice ) ! Read Namelist namicedyn |
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282 | READ ( numnam_ice , namicedyn ) |
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283 | |
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284 | IF(lwp) THEN ! control print |
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285 | WRITE(numout,*) |
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286 | WRITE(numout,*) 'lim_dyn_init : ice parameters for ice dynamics ' |
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287 | WRITE(numout,*) '~~~~~~~~~~~~' |
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288 | WRITE(numout,*) ' tolerance parameter epsd = ', epsd |
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289 | WRITE(numout,*) ' coefficient for semi-implicit coriolis alpha = ', alpha |
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290 | WRITE(numout,*) ' diffusion constant for dynamics dm = ', dm |
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291 | WRITE(numout,*) ' number of sub-time steps for relaxation nbiter = ', nbiter |
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292 | WRITE(numout,*) ' maximum number of iterations for relaxation nbitdr = ', nbitdr |
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293 | WRITE(numout,*) ' relaxation constant om = ', om |
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294 | WRITE(numout,*) ' maximum value for the residual of relaxation resl = ', resl |
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295 | WRITE(numout,*) ' drag coefficient for oceanic stress cw = ', cw |
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296 | WRITE(numout,*) ' turning angle for oceanic stress angvg = ', angvg |
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297 | WRITE(numout,*) ' first bulk-rheology parameter pstar = ', pstar |
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298 | WRITE(numout,*) ' second bulk-rhelogy parameter c_rhg = ', c_rhg |
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299 | WRITE(numout,*) ' minimun value for viscosity etamn = ', etamn |
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300 | WRITE(numout,*) ' creep limit creepl = ', creepl |
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301 | WRITE(numout,*) ' eccentricity of the elliptical yield curve ecc = ', ecc |
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302 | WRITE(numout,*) ' horizontal diffusivity coeff. for sea-ice ahi0 = ', ahi0 |
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303 | WRITE(numout,*) ' number of iterations for subcycling nevp = ', nevp |
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304 | WRITE(numout,*) ' timescale for elastic waves telast = ', telast |
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305 | WRITE(numout,*) ' coefficient for the solution of int. stresses alphaevp = ', alphaevp |
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306 | WRITE(numout,*) ' min ice thickness for rheology calculations hminrhg = ', hminrhg |
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307 | ENDIF |
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308 | ! |
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309 | IF( angvg /= 0._wp ) THEN |
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310 | CALL ctl_warn( 'lim_dyn_init: turning angle for oceanic stress not properly coded for EVP ', & |
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311 | & '(see limsbc module). We force angvg = 0._wp' ) |
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312 | angvg = 0._wp |
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313 | ENDIF |
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314 | |
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315 | usecc2 = 1._wp / ( ecc * ecc ) |
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316 | rhoco = rau0 * cw |
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317 | angvg = angvg * rad |
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318 | sangvg = SIN( angvg ) |
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319 | cangvg = COS( angvg ) |
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320 | pstarh = pstar * 0.5_wp |
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321 | |
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322 | ! Diffusion coefficients. |
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323 | ahiu(:,:) = ahi0 * umask(:,:,1) |
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324 | ahiv(:,:) = ahi0 * vmask(:,:,1) |
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325 | ! |
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326 | END SUBROUTINE lim_dyn_init |
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327 | |
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328 | #else |
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329 | !!---------------------------------------------------------------------- |
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330 | !! Default option Empty module NO LIM sea-ice model |
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331 | !!---------------------------------------------------------------------- |
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332 | CONTAINS |
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333 | SUBROUTINE lim_dyn ! Empty routine |
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334 | END SUBROUTINE lim_dyn |
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335 | #endif |
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336 | |
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337 | !!====================================================================== |
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338 | END MODULE limdyn |
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