1 | MODULE limrhg |
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2 | !!====================================================================== |
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3 | !! *** MODULE limrhg *** |
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4 | !! Ice rheology : sea ice rheology |
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5 | !!====================================================================== |
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6 | !! History : - ! 2007-03 (M.A. Morales Maqueda, S. Bouillon) Original code |
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7 | !! 3.0 ! 2008-03 (M. Vancoppenolle) LIM3 |
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8 | !! - ! 2008-11 (M. Vancoppenolle, S. Bouillon, Y. Aksenov) add surface tilt in ice rheolohy |
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9 | !! 3.3 ! 2009-05 (G.Garric) addition of the lim2_evp cas |
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10 | !! 3.4 ! 2011-01 (A. Porter) dynamical allocation |
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11 | !! 3.5 ! 2012-08 (R. Benshila) AGRIF |
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12 | !!---------------------------------------------------------------------- |
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13 | #if defined key_lim3 || ( defined key_lim2 && ! defined key_lim2_vp ) |
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14 | !!---------------------------------------------------------------------- |
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15 | !! 'key_lim3' OR LIM-3 sea-ice model |
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16 | !! 'key_lim2' AND NOT 'key_lim2_vp' EVP LIM-2 sea-ice model |
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17 | !!---------------------------------------------------------------------- |
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18 | !! lim_rhg : computes ice velocities |
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19 | !!---------------------------------------------------------------------- |
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20 | USE phycst ! Physical constant |
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21 | USE oce , ONLY : snwice_mass, snwice_mass_b |
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22 | USE par_oce ! Ocean parameters |
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23 | USE dom_oce ! Ocean domain |
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24 | USE sbc_oce ! Surface boundary condition: ocean fields |
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25 | USE sbc_ice ! Surface boundary condition: ice fields |
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26 | #if defined key_lim3 |
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27 | USE ice ! LIM-3: ice variables |
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28 | USE dom_ice ! LIM-3: ice domain |
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29 | USE limitd_me ! LIM-3: |
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30 | #else |
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31 | USE ice_2 ! LIM-2: ice variables |
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32 | USE dom_ice_2 ! LIM-2: ice domain |
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33 | #endif |
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34 | USE lbclnk ! Lateral Boundary Condition / MPP link |
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35 | USE lib_mpp ! MPP library |
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36 | USE wrk_nemo ! work arrays |
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37 | USE in_out_manager ! I/O manager |
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38 | USE prtctl ! Print control |
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39 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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40 | #if defined key_agrif && defined key_lim2 |
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41 | USE agrif_lim2_interp |
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42 | #endif |
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43 | #if defined key_bdy |
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44 | USE bdyice_lim |
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45 | #endif |
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46 | |
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47 | IMPLICIT NONE |
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48 | PRIVATE |
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49 | |
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50 | PUBLIC lim_rhg ! routine called by lim_dyn (or lim_dyn_2) |
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51 | |
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52 | !! * Substitutions |
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53 | # include "vectopt_loop_substitute.h90" |
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54 | !!---------------------------------------------------------------------- |
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55 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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56 | !! $Id$ |
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57 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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58 | !!---------------------------------------------------------------------- |
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59 | CONTAINS |
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60 | |
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61 | SUBROUTINE lim_rhg( k_j1, k_jpj ) |
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62 | !!------------------------------------------------------------------- |
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63 | !! *** SUBROUTINE lim_rhg *** |
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64 | !! EVP-C-grid |
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65 | !! |
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66 | !! ** purpose : determines sea ice drift from wind stress, ice-ocean |
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67 | !! stress and sea-surface slope. Ice-ice interaction is described by |
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68 | !! a non-linear elasto-viscous-plastic (EVP) law including shear |
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69 | !! strength and a bulk rheology (Hunke and Dukowicz, 2002). |
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70 | !! |
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71 | !! The points in the C-grid look like this, dear reader |
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72 | !! |
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73 | !! (ji,jj) |
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74 | !! | |
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75 | !! | |
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76 | !! (ji-1,jj) | (ji,jj) |
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77 | !! --------- |
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78 | !! | | |
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79 | !! | (ji,jj) |------(ji,jj) |
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80 | !! | | |
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81 | !! --------- |
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82 | !! (ji-1,jj-1) (ji,jj-1) |
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83 | !! |
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84 | !! ** Inputs : - wind forcing (stress), oceanic currents |
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85 | !! ice total volume (vt_i) per unit area |
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86 | !! snow total volume (vt_s) per unit area |
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87 | !! |
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88 | !! ** Action : - compute u_ice, v_ice : the components of the |
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89 | !! sea-ice velocity vector |
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90 | !! - compute delta_i, shear_i, divu_i, which are inputs |
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91 | !! of the ice thickness distribution |
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92 | !! |
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93 | !! ** Steps : 1) Compute ice snow mass, ice strength |
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94 | !! 2) Compute wind, oceanic stresses, mass terms and |
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95 | !! coriolis terms of the momentum equation |
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96 | !! 3) Solve the momentum equation (iterative procedure) |
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97 | !! 4) Prevent high velocities if the ice is thin |
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98 | !! 5) Recompute invariants of the strain rate tensor |
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99 | !! which are inputs of the ITD, store stress |
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100 | !! for the next time step |
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101 | !! 6) Control prints of residual (convergence) |
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102 | !! and charge ellipse. |
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103 | !! The user should make sure that the parameters |
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104 | !! nn_nevp, elastic time scale and rn_creepl maintain stress state |
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105 | !! on the charge ellipse for plastic flow |
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106 | !! e.g. in the Canadian Archipelago |
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107 | !! |
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108 | !! References : Hunke and Dukowicz, JPO97 |
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109 | !! Bouillon et al., Ocean Modelling 2009 |
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110 | !!------------------------------------------------------------------- |
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111 | INTEGER, INTENT(in) :: k_j1 ! southern j-index for ice computation |
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112 | INTEGER, INTENT(in) :: k_jpj ! northern j-index for ice computation |
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113 | !! |
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114 | INTEGER :: ji, jj ! dummy loop indices |
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115 | INTEGER :: jter ! local integers |
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116 | CHARACTER (len=50) :: charout |
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117 | REAL(wp) :: zt11, zt12, zt21, zt22, ztagnx, ztagny, delta ! |
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118 | REAL(wp) :: za, zstms ! local scalars |
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119 | REAL(wp) :: zc1, zc2, zc3 ! ice mass |
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120 | |
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121 | REAL(wp) :: dtevp , z1_dtevp ! time step for subcycling |
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122 | REAL(wp) :: dtotel, z1_dtotel, ecc2, ecci ! square of yield ellipse eccenticity |
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123 | REAL(wp) :: z0, zr, zcca, zccb ! temporary scalars |
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124 | REAL(wp) :: zu_ice2, zv_ice1 ! |
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125 | REAL(wp) :: zddc, zdtc ! delta on corners and on centre |
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126 | REAL(wp) :: zdst ! shear at the center of the grid point |
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127 | REAL(wp) :: zdsshx, zdsshy ! term for the gradient of ocean surface |
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128 | REAL(wp) :: sigma1, sigma2 ! internal ice stress |
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129 | |
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130 | REAL(wp) :: zresm ! Maximal error on ice velocity |
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131 | REAL(wp) :: zintb, zintn ! dummy argument |
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132 | |
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133 | REAL(wp), POINTER, DIMENSION(:,:) :: zpresh ! temporary array for ice strength |
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134 | REAL(wp), POINTER, DIMENSION(:,:) :: zpreshc ! Ice strength on grid cell corners (zpreshc) |
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135 | REAL(wp), POINTER, DIMENSION(:,:) :: zfrld1, zfrld2 ! lead fraction on U/V points |
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136 | REAL(wp), POINTER, DIMENSION(:,:) :: zmass1, zmass2 ! ice/snow mass on U/V points |
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137 | REAL(wp), POINTER, DIMENSION(:,:) :: zcorl1, zcorl2 ! coriolis parameter on U/V points |
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138 | REAL(wp), POINTER, DIMENSION(:,:) :: za1ct , za2ct ! temporary arrays |
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139 | REAL(wp), POINTER, DIMENSION(:,:) :: v_oce1 ! ocean u/v component on U points |
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140 | REAL(wp), POINTER, DIMENSION(:,:) :: u_oce2 ! ocean u/v component on V points |
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141 | REAL(wp), POINTER, DIMENSION(:,:) :: u_ice2, v_ice1 ! ice u/v component on V/U point |
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142 | REAL(wp), POINTER, DIMENSION(:,:) :: zf1 , zf2 ! arrays for internal stresses |
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143 | REAL(wp), POINTER, DIMENSION(:,:) :: zmask ! mask ocean grid points |
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144 | |
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145 | REAL(wp), POINTER, DIMENSION(:,:) :: zdt ! tension at centre of grid cells |
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146 | REAL(wp), POINTER, DIMENSION(:,:) :: zds ! Shear on northeast corner of grid cells |
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147 | REAL(wp), POINTER, DIMENSION(:,:) :: zs1 , zs2 ! Diagonal stress tensor components zs1 and zs2 |
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148 | REAL(wp), POINTER, DIMENSION(:,:) :: zs12 ! Non-diagonal stress tensor component zs12 |
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149 | REAL(wp), POINTER, DIMENSION(:,:) :: zu_ice, zv_ice, zresr ! Local error on velocity |
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150 | REAL(wp), POINTER, DIMENSION(:,:) :: zpice ! array used for the calculation of ice surface slope: |
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151 | ! ocean surface (ssh_m) if ice is not embedded |
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152 | ! ice top surface if ice is embedded |
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153 | |
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154 | REAL(wp), PARAMETER :: zepsi = 1.0e-20_wp ! tolerance parameter |
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155 | REAL(wp), PARAMETER :: zvmin = 1.0e-03_wp ! ice volume below which ice velocity equals ocean velocity |
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156 | !!------------------------------------------------------------------- |
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157 | |
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158 | CALL wrk_alloc( jpi,jpj, zpresh, zfrld1, zmass1, zcorl1, za1ct , zpreshc, zfrld2, zmass2, zcorl2, za2ct ) |
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159 | CALL wrk_alloc( jpi,jpj, u_oce2, u_ice2, v_oce1 , v_ice1 , zmask ) |
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160 | CALL wrk_alloc( jpi,jpj, zf1 , zu_ice, zf2 , zv_ice , zdt , zds ) |
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161 | CALL wrk_alloc( jpi,jpj, zdt , zds , zs1 , zs2 , zs12 , zresr , zpice ) |
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162 | |
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163 | #if defined key_lim2 && ! defined key_lim2_vp |
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164 | # if defined key_agrif |
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165 | USE ice_2, vt_s => hsnm |
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166 | USE ice_2, vt_i => hicm |
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167 | # else |
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168 | vt_s => hsnm |
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169 | vt_i => hicm |
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170 | # endif |
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171 | at_i(:,:) = 1. - frld(:,:) |
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172 | #endif |
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173 | #if defined key_agrif && defined key_lim2 |
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174 | CALL agrif_rhg_lim2_load ! First interpolation of coarse values |
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175 | #endif |
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176 | ! |
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177 | !------------------------------------------------------------------------------! |
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178 | ! 1) Ice strength (zpresh) ! |
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179 | !------------------------------------------------------------------------------! |
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180 | ! |
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181 | ! Put every vector to 0 |
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182 | delta_i(:,:) = 0._wp ; |
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183 | zpresh (:,:) = 0._wp ; |
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184 | zpreshc(:,:) = 0._wp |
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185 | u_ice2 (:,:) = 0._wp ; v_ice1(:,:) = 0._wp |
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186 | divu_i (:,:) = 0._wp ; zdt (:,:) = 0._wp ; zds(:,:) = 0._wp |
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187 | shear_i(:,:) = 0._wp |
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188 | |
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189 | #if defined key_lim3 |
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190 | CALL lim_itd_me_icestrength( nn_icestr ) ! LIM-3: Ice strength on T-points |
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191 | #endif |
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192 | |
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193 | DO jj = k_j1 , k_jpj ! Ice mass and temp variables |
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194 | DO ji = 1 , jpi |
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195 | #if defined key_lim3 |
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196 | zpresh(ji,jj) = tmask(ji,jj,1) * strength(ji,jj) |
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197 | #endif |
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198 | #if defined key_lim2 |
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199 | zpresh(ji,jj) = tmask(ji,jj,1) * pstar * vt_i(ji,jj) * EXP( -c_rhg * (1. - at_i(ji,jj) ) ) |
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200 | #endif |
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201 | ! zmask = 1 where there is ice or on land |
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202 | zmask(ji,jj) = 1._wp - ( 1._wp - MAX( 0._wp , SIGN ( 1._wp , vt_i(ji,jj) - zepsi ) ) ) * tmask(ji,jj,1) |
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203 | END DO |
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204 | END DO |
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205 | |
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206 | ! Ice strength on grid cell corners (zpreshc) |
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207 | ! needed for calculation of shear stress |
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208 | DO jj = k_j1+1, k_jpj-1 |
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209 | DO ji = 2, jpim1 !RB caution no fs_ (ji+1,jj+1) |
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210 | zstms = tmask(ji+1,jj+1,1) * wght(ji+1,jj+1,2,2) + tmask(ji,jj+1,1) * wght(ji+1,jj+1,1,2) + & |
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211 | & tmask(ji+1,jj,1) * wght(ji+1,jj+1,2,1) + tmask(ji,jj,1) * wght(ji+1,jj+1,1,1) |
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212 | zpreshc(ji,jj) = ( zpresh(ji+1,jj+1) * wght(ji+1,jj+1,2,2) + zpresh(ji,jj+1) * wght(ji+1,jj+1,1,2) + & |
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213 | & zpresh(ji+1,jj) * wght(ji+1,jj+1,2,1) + zpresh(ji,jj) * wght(ji+1,jj+1,1,1) & |
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214 | & ) / MAX( zstms, zepsi ) |
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215 | END DO |
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216 | END DO |
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217 | CALL lbc_lnk( zpreshc(:,:), 'F', 1. ) |
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218 | ! |
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219 | !------------------------------------------------------------------------------! |
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220 | ! 2) Wind / ocean stress, mass terms, coriolis terms |
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221 | !------------------------------------------------------------------------------! |
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222 | ! |
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223 | ! Wind stress, coriolis and mass terms on the sides of the squares |
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224 | ! zfrld1: lead fraction on U-points |
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225 | ! zfrld2: lead fraction on V-points |
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226 | ! zmass1: ice/snow mass on U-points |
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227 | ! zmass2: ice/snow mass on V-points |
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228 | ! zcorl1: Coriolis parameter on U-points |
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229 | ! zcorl2: Coriolis parameter on V-points |
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230 | ! (ztagnx,ztagny): wind stress on U/V points |
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231 | ! v_oce1: ocean v component on u points |
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232 | ! u_oce2: ocean u component on v points |
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233 | |
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234 | IF( nn_ice_embd == 2 ) THEN !== embedded sea ice: compute representative ice top surface ==! |
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235 | ! |
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236 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[n/nn_fsbc], n=0,nn_fsbc-1} |
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237 | ! = (1/nn_fsbc)^2 * {SUM[n], n=0,nn_fsbc-1} |
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238 | zintn = REAL( nn_fsbc - 1 ) / REAL( nn_fsbc ) * 0.5_wp |
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239 | ! |
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240 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[1-n/nn_fsbc], n=0,nn_fsbc-1} |
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241 | ! = (1/nn_fsbc)^2 * (nn_fsbc^2 - {SUM[n], n=0,nn_fsbc-1}) |
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242 | zintb = REAL( nn_fsbc + 1 ) / REAL( nn_fsbc ) * 0.5_wp |
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243 | ! |
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244 | zpice(:,:) = ssh_m(:,:) + ( zintn * snwice_mass(:,:) + zintb * snwice_mass_b(:,:) ) * r1_rau0 |
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245 | ! |
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246 | ELSE !== non-embedded sea ice: use ocean surface for slope calculation ==! |
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247 | zpice(:,:) = ssh_m(:,:) |
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248 | ENDIF |
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249 | |
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250 | DO jj = k_j1+1, k_jpj-1 |
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251 | DO ji = fs_2, fs_jpim1 |
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252 | |
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253 | zc1 = tmask(ji ,jj ,1) * ( rhosn * vt_s(ji ,jj ) + rhoic * vt_i(ji ,jj ) ) |
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254 | zc2 = tmask(ji+1,jj ,1) * ( rhosn * vt_s(ji+1,jj ) + rhoic * vt_i(ji+1,jj ) ) |
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255 | zc3 = tmask(ji ,jj+1,1) * ( rhosn * vt_s(ji ,jj+1) + rhoic * vt_i(ji ,jj+1) ) |
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256 | |
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257 | zt11 = tmask(ji ,jj,1) * e1t(ji ,jj) |
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258 | zt12 = tmask(ji+1,jj,1) * e1t(ji+1,jj) |
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259 | zt21 = tmask(ji,jj ,1) * e2t(ji,jj ) |
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260 | zt22 = tmask(ji,jj+1,1) * e2t(ji,jj+1) |
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261 | |
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262 | ! Leads area. |
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263 | zfrld1(ji,jj) = ( zt12 * ( 1.0 - at_i(ji,jj) ) + zt11 * ( 1.0 - at_i(ji+1,jj) ) ) / ( zt11 + zt12 + zepsi ) |
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264 | zfrld2(ji,jj) = ( zt22 * ( 1.0 - at_i(ji,jj) ) + zt21 * ( 1.0 - at_i(ji,jj+1) ) ) / ( zt21 + zt22 + zepsi ) |
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265 | |
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266 | ! Mass, coriolis coeff. and currents |
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267 | zmass1(ji,jj) = ( zt12 * zc1 + zt11 * zc2 ) / ( zt11 + zt12 + zepsi ) |
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268 | zmass2(ji,jj) = ( zt22 * zc1 + zt21 * zc3 ) / ( zt21 + zt22 + zepsi ) |
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269 | zcorl1(ji,jj) = zmass1(ji,jj) * ( e1t(ji+1,jj) * fcor(ji,jj) + e1t(ji,jj) * fcor(ji+1,jj) ) & |
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270 | & / ( e1t(ji,jj) + e1t(ji+1,jj) + zepsi ) |
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271 | zcorl2(ji,jj) = zmass2(ji,jj) * ( e2t(ji,jj+1) * fcor(ji,jj) + e2t(ji,jj) * fcor(ji,jj+1) ) & |
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272 | & / ( e2t(ji,jj+1) + e2t(ji,jj) + zepsi ) |
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273 | ! |
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274 | ! Ocean has no slip boundary condition |
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275 | v_oce1(ji,jj) = 0.5 * ( ( v_oce(ji ,jj) + v_oce(ji ,jj-1) ) * e1t(ji,jj) & |
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276 | & + ( v_oce(ji+1,jj) + v_oce(ji+1,jj-1) ) * e1t(ji+1,jj) ) & |
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277 | & / ( e1t(ji+1,jj) + e1t(ji,jj) ) * umask(ji,jj,1) |
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278 | |
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279 | u_oce2(ji,jj) = 0.5 * ( ( u_oce(ji,jj ) + u_oce(ji-1,jj ) ) * e2t(ji,jj) & |
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280 | & + ( u_oce(ji,jj+1) + u_oce(ji-1,jj+1) ) * e2t(ji,jj+1) ) & |
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281 | & / ( e2t(ji,jj+1) + e2t(ji,jj) ) * vmask(ji,jj,1) |
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282 | |
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283 | ! Wind stress at U,V-point |
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284 | ztagnx = ( 1. - zfrld1(ji,jj) ) * utau_ice(ji,jj) |
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285 | ztagny = ( 1. - zfrld2(ji,jj) ) * vtau_ice(ji,jj) |
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286 | |
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287 | ! Computation of the velocity field taking into account the ice internal interaction. |
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288 | ! Terms that are independent of the velocity field. |
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289 | |
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290 | ! SB On utilise maintenant le gradient de la pente de l'ocean |
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291 | ! include it later |
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292 | |
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293 | zdsshx = ( zpice(ji+1,jj) - zpice(ji,jj) ) * r1_e1u(ji,jj) |
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294 | zdsshy = ( zpice(ji,jj+1) - zpice(ji,jj) ) * r1_e2v(ji,jj) |
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295 | |
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296 | za1ct(ji,jj) = ztagnx - zmass1(ji,jj) * grav * zdsshx |
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297 | za2ct(ji,jj) = ztagny - zmass2(ji,jj) * grav * zdsshy |
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298 | |
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299 | END DO |
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300 | END DO |
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301 | |
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302 | ! |
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303 | !------------------------------------------------------------------------------! |
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304 | ! 3) Solution of the momentum equation, iterative procedure |
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305 | !------------------------------------------------------------------------------! |
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306 | ! |
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307 | ! Time step for subcycling |
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308 | dtevp = rdt_ice / nn_nevp |
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309 | #if defined key_lim3 |
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310 | dtotel = dtevp / ( 2._wp * rn_relast * rdt_ice ) |
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311 | #else |
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312 | dtotel = dtevp / ( 2._wp * telast ) |
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313 | #endif |
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314 | z1_dtotel = 1._wp / ( 1._wp + dtotel ) |
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315 | z1_dtevp = 1._wp / dtevp |
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316 | !-ecc2: square of yield ellipse eccenticrity (reminder: must become a namelist parameter) |
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317 | ecc2 = rn_ecc * rn_ecc |
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318 | ecci = 1. / ecc2 |
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319 | |
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320 | !-Initialise stress tensor |
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321 | zs1 (:,:) = stress1_i (:,:) |
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322 | zs2 (:,:) = stress2_i (:,:) |
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323 | zs12(:,:) = stress12_i(:,:) |
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324 | |
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325 | ! !----------------------! |
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326 | DO jter = 1 , nn_nevp ! loop over jter ! |
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327 | ! !----------------------! |
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328 | DO jj = k_j1, k_jpj-1 |
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329 | zu_ice(:,jj) = u_ice(:,jj) ! velocity at previous time step |
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330 | zv_ice(:,jj) = v_ice(:,jj) |
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331 | END DO |
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332 | |
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333 | DO jj = k_j1+1, k_jpj-1 |
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334 | DO ji = fs_2, fs_jpim1 !RB bug no vect opt due to zmask |
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335 | |
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336 | ! |
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337 | !- Divergence, tension and shear (Section a. Appendix B of Hunke & Dukowicz, 2002) |
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338 | !- divu_i(:,:), zdt(:,:): divergence and tension at centre of grid cells |
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339 | !- zds(:,:): shear on northeast corner of grid cells |
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340 | ! |
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341 | !- IMPORTANT REMINDER: Dear Gurvan, note that, the way these terms are coded, |
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342 | ! there are many repeated calculations. |
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343 | ! Speed could be improved by regrouping terms. For |
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344 | ! the moment, however, the stress is on clarity of coding to avoid |
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345 | ! bugs (Martin, for Miguel). |
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346 | ! |
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347 | !- ALSO: arrays zdt, zds and delta could |
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348 | ! be removed in the future to minimise memory demand. |
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349 | ! |
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350 | !- MORE NOTES: Note that we are calculating deformation rates and stresses on the corners of |
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351 | ! grid cells, exactly as in the B grid case. For simplicity, the indexation on |
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352 | ! the corners is the same as in the B grid. |
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353 | ! |
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354 | ! |
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355 | divu_i(ji,jj) = ( e2u(ji,jj) * u_ice(ji,jj) - e2u(ji-1,jj) * u_ice(ji-1,jj) & |
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356 | & + e1v(ji,jj) * v_ice(ji,jj) - e1v(ji,jj-1) * v_ice(ji,jj-1) & |
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357 | & ) * r1_e1e2t(ji,jj) |
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358 | |
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359 | zdt(ji,jj) = ( ( u_ice(ji,jj) * r1_e2u(ji,jj) - u_ice(ji-1,jj) * r1_e2u(ji-1,jj) ) * e2t(ji,jj) * e2t(ji,jj) & |
---|
360 | & - ( v_ice(ji,jj) * r1_e1v(ji,jj) - v_ice(ji,jj-1) * r1_e1v(ji,jj-1) ) * e1t(ji,jj) * e1t(ji,jj) & |
---|
361 | & ) * r1_e1e2t(ji,jj) |
---|
362 | |
---|
363 | ! |
---|
364 | zds(ji,jj) = ( ( u_ice(ji,jj+1) * r1_e1u(ji,jj+1) - u_ice(ji,jj) * r1_e1u(ji,jj) ) * e1f(ji,jj) * e1f(ji,jj) & |
---|
365 | & + ( v_ice(ji+1,jj) * r1_e2v(ji+1,jj) - v_ice(ji,jj) * r1_e2v(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) & |
---|
366 | & ) * r1_e1e2f(ji,jj) * ( 2._wp - fmask(ji,jj,1) ) & |
---|
367 | & * zmask(ji,jj) * zmask(ji,jj+1) * zmask(ji+1,jj) * zmask(ji+1,jj+1) |
---|
368 | |
---|
369 | |
---|
370 | v_ice1(ji,jj) = 0.5_wp * ( ( v_ice(ji ,jj) + v_ice(ji ,jj-1) ) * e1t(ji+1,jj) & |
---|
371 | & + ( v_ice(ji+1,jj) + v_ice(ji+1,jj-1) ) * e1t(ji ,jj) ) & |
---|
372 | & / ( e1t(ji+1,jj) + e1t(ji,jj) ) * umask(ji,jj,1) |
---|
373 | |
---|
374 | u_ice2(ji,jj) = 0.5_wp * ( ( u_ice(ji,jj ) + u_ice(ji-1,jj ) ) * e2t(ji,jj+1) & |
---|
375 | & + ( u_ice(ji,jj+1) + u_ice(ji-1,jj+1) ) * e2t(ji,jj ) ) & |
---|
376 | & / ( e2t(ji,jj+1) + e2t(ji,jj) ) * vmask(ji,jj,1) |
---|
377 | END DO |
---|
378 | END DO |
---|
379 | |
---|
380 | CALL lbc_lnk_multi( v_ice1, 'U', -1., u_ice2, 'V', -1. ) ! lateral boundary cond. |
---|
381 | |
---|
382 | DO jj = k_j1+1, k_jpj-1 |
---|
383 | DO ji = fs_2, fs_jpim1 |
---|
384 | |
---|
385 | !- Calculate Delta at centre of grid cells |
---|
386 | zdst = ( e2u(ji,jj) * v_ice1(ji,jj) - e2u(ji-1,jj ) * v_ice1(ji-1,jj ) & |
---|
387 | & + e1v(ji,jj) * u_ice2(ji,jj) - e1v(ji ,jj-1) * u_ice2(ji ,jj-1) & |
---|
388 | & ) * r1_e1e2t(ji,jj) |
---|
389 | |
---|
390 | delta = SQRT( divu_i(ji,jj)**2 + ( zdt(ji,jj)**2 + zdst**2 ) * usecc2 ) |
---|
391 | delta_i(ji,jj) = delta + rn_creepl |
---|
392 | |
---|
393 | !- Calculate Delta on corners |
---|
394 | zddc = ( ( v_ice1(ji,jj+1) * r1_e1u(ji,jj+1) - v_ice1(ji,jj) * r1_e1u(ji,jj) ) * e1f(ji,jj) * e1f(ji,jj) & |
---|
395 | & + ( u_ice2(ji+1,jj) * r1_e2v(ji+1,jj) - u_ice2(ji,jj) * r1_e2v(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) & |
---|
396 | & ) * r1_e1e2f(ji,jj) |
---|
397 | |
---|
398 | zdtc = (- ( v_ice1(ji,jj+1) * r1_e1u(ji,jj+1) - v_ice1(ji,jj) * r1_e1u(ji,jj) ) * e1f(ji,jj) * e1f(ji,jj) & |
---|
399 | & + ( u_ice2(ji+1,jj) * r1_e2v(ji+1,jj) - u_ice2(ji,jj) * r1_e2v(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) & |
---|
400 | & ) * r1_e1e2f(ji,jj) |
---|
401 | |
---|
402 | zddc = SQRT( zddc**2 + ( zdtc**2 + zds(ji,jj)**2 ) * usecc2 ) + rn_creepl |
---|
403 | |
---|
404 | !-Calculate stress tensor components zs1 and zs2 at centre of grid cells (see section 3.5 of CICE user's guide). |
---|
405 | zs1(ji,jj) = ( zs1 (ji,jj) + dtotel * ( divu_i(ji,jj) - delta ) / delta_i(ji,jj) * zpresh(ji,jj) & |
---|
406 | & ) * z1_dtotel |
---|
407 | zs2(ji,jj) = ( zs2 (ji,jj) + dtotel * ecci * zdt(ji,jj) / delta_i(ji,jj) * zpresh(ji,jj) & |
---|
408 | & ) * z1_dtotel |
---|
409 | !-Calculate stress tensor component zs12 at corners |
---|
410 | zs12(ji,jj) = ( zs12(ji,jj) + dtotel * ecci * zds(ji,jj) / ( 2._wp * zddc ) * zpreshc(ji,jj) & |
---|
411 | & ) * z1_dtotel |
---|
412 | |
---|
413 | END DO |
---|
414 | END DO |
---|
415 | |
---|
416 | CALL lbc_lnk_multi( zs1 , 'T', 1., zs2, 'T', 1., zs12, 'F', 1. ) |
---|
417 | |
---|
418 | ! Ice internal stresses (Appendix C of Hunke and Dukowicz, 2002) |
---|
419 | DO jj = k_j1+1, k_jpj-1 |
---|
420 | DO ji = fs_2, fs_jpim1 |
---|
421 | !- contribution of zs1, zs2 and zs12 to zf1 |
---|
422 | zf1(ji,jj) = 0.5 * ( ( zs1(ji+1,jj) - zs1(ji,jj) ) * e2u(ji,jj) & |
---|
423 | & + ( zs2(ji+1,jj) * e2t(ji+1,jj)**2 - zs2(ji,jj) * e2t(ji,jj)**2 ) * r1_e2u(ji,jj) & |
---|
424 | & + 2.0 * ( zs12(ji,jj) * e1f(ji,jj)**2 - zs12(ji,jj-1) * e1f(ji,jj-1)**2 ) * r1_e1u(ji,jj) & |
---|
425 | & ) * r1_e1e2u(ji,jj) |
---|
426 | ! contribution of zs1, zs2 and zs12 to zf2 |
---|
427 | zf2(ji,jj) = 0.5 * ( ( zs1(ji,jj+1) - zs1(ji,jj) ) * e1v(ji,jj) & |
---|
428 | & - ( zs2(ji,jj+1) * e1t(ji,jj+1)**2 - zs2(ji,jj) * e1t(ji,jj)**2 ) * r1_e1v(ji,jj) & |
---|
429 | & + 2.0 * ( zs12(ji,jj) * e2f(ji,jj)**2 - zs12(ji-1,jj) * e2f(ji-1,jj)**2 ) * r1_e2v(ji,jj) & |
---|
430 | & ) * r1_e1e2v(ji,jj) |
---|
431 | END DO |
---|
432 | END DO |
---|
433 | ! |
---|
434 | ! Computation of ice velocity |
---|
435 | ! |
---|
436 | ! Both the Coriolis term and the ice-ocean drag are solved semi-implicitly. |
---|
437 | ! |
---|
438 | IF (MOD(jter,2).eq.0) THEN |
---|
439 | |
---|
440 | DO jj = k_j1+1, k_jpj-1 |
---|
441 | DO ji = fs_2, fs_jpim1 |
---|
442 | rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zmass1(ji,jj) ) ) ) * umask(ji,jj,1) |
---|
443 | z0 = zmass1(ji,jj) * z1_dtevp |
---|
444 | |
---|
445 | ! SB modif because ocean has no slip boundary condition |
---|
446 | zv_ice1 = 0.5 * ( ( v_ice(ji ,jj) + v_ice(ji ,jj-1) ) * e1t(ji ,jj) & |
---|
447 | & + ( v_ice(ji+1,jj) + v_ice(ji+1,jj-1) ) * e1t(ji+1,jj) ) & |
---|
448 | & / ( e1t(ji+1,jj) + e1t(ji,jj) ) * umask(ji,jj,1) |
---|
449 | za = rhoco * SQRT( ( u_ice(ji,jj) - u_oce(ji,jj) )**2 + & |
---|
450 | & ( zv_ice1 - v_oce1(ji,jj) )**2 ) * ( 1.0 - zfrld1(ji,jj) ) |
---|
451 | zr = z0 * u_ice(ji,jj) + zf1(ji,jj) + za1ct(ji,jj) + za * u_oce(ji,jj) |
---|
452 | zcca = z0 + za |
---|
453 | zccb = zcorl1(ji,jj) |
---|
454 | u_ice(ji,jj) = ( zr + zccb * zv_ice1 ) / ( zcca + zepsi ) * rswitch |
---|
455 | END DO |
---|
456 | END DO |
---|
457 | |
---|
458 | CALL lbc_lnk( u_ice(:,:), 'U', -1. ) |
---|
459 | #if defined key_agrif && defined key_lim2 |
---|
460 | CALL agrif_rhg_lim2( jter, nn_nevp, 'U' ) |
---|
461 | #endif |
---|
462 | #if defined key_bdy |
---|
463 | CALL bdy_ice_lim_dyn( 'U' ) |
---|
464 | #endif |
---|
465 | |
---|
466 | DO jj = k_j1+1, k_jpj-1 |
---|
467 | DO ji = fs_2, fs_jpim1 |
---|
468 | |
---|
469 | rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zmass2(ji,jj) ) ) ) * vmask(ji,jj,1) |
---|
470 | z0 = zmass2(ji,jj) * z1_dtevp |
---|
471 | ! SB modif because ocean has no slip boundary condition |
---|
472 | zu_ice2 = 0.5 * ( ( u_ice(ji,jj ) + u_ice(ji-1,jj ) ) * e2t(ji,jj) & |
---|
473 | & + ( u_ice(ji,jj+1) + u_ice(ji-1,jj+1) ) * e2t(ji,jj+1) ) & |
---|
474 | & / ( e2t(ji,jj+1) + e2t(ji,jj) ) * vmask(ji,jj,1) |
---|
475 | za = rhoco * SQRT( ( zu_ice2 - u_oce2(ji,jj) )**2 + & |
---|
476 | & ( v_ice(ji,jj) - v_oce(ji,jj))**2 ) * ( 1.0 - zfrld2(ji,jj) ) |
---|
477 | zr = z0 * v_ice(ji,jj) + zf2(ji,jj) + za2ct(ji,jj) + za * v_oce(ji,jj) |
---|
478 | zcca = z0 + za |
---|
479 | zccb = zcorl2(ji,jj) |
---|
480 | v_ice(ji,jj) = ( zr - zccb * zu_ice2 ) / ( zcca + zepsi ) * rswitch |
---|
481 | END DO |
---|
482 | END DO |
---|
483 | |
---|
484 | CALL lbc_lnk( v_ice(:,:), 'V', -1. ) |
---|
485 | #if defined key_agrif && defined key_lim2 |
---|
486 | CALL agrif_rhg_lim2( jter, nn_nevp, 'V' ) |
---|
487 | #endif |
---|
488 | #if defined key_bdy |
---|
489 | CALL bdy_ice_lim_dyn( 'V' ) |
---|
490 | #endif |
---|
491 | |
---|
492 | ELSE |
---|
493 | DO jj = k_j1+1, k_jpj-1 |
---|
494 | DO ji = fs_2, fs_jpim1 |
---|
495 | rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zmass2(ji,jj) ) ) ) * vmask(ji,jj,1) |
---|
496 | z0 = zmass2(ji,jj) * z1_dtevp |
---|
497 | ! SB modif because ocean has no slip boundary condition |
---|
498 | zu_ice2 = 0.5 * ( ( u_ice(ji,jj ) + u_ice(ji-1,jj ) ) * e2t(ji,jj) & |
---|
499 | & +( u_ice(ji,jj+1) + u_ice(ji-1,jj+1) ) * e2t(ji,jj+1) ) & |
---|
500 | & / ( e2t(ji,jj+1) + e2t(ji,jj) ) * vmask(ji,jj,1) |
---|
501 | |
---|
502 | za = rhoco * SQRT( ( zu_ice2 - u_oce2(ji,jj) )**2 + & |
---|
503 | & ( v_ice(ji,jj) - v_oce(ji,jj) )**2 ) * ( 1.0 - zfrld2(ji,jj) ) |
---|
504 | zr = z0 * v_ice(ji,jj) + zf2(ji,jj) + za2ct(ji,jj) + za * v_oce(ji,jj) |
---|
505 | zcca = z0 + za |
---|
506 | zccb = zcorl2(ji,jj) |
---|
507 | v_ice(ji,jj) = ( zr - zccb * zu_ice2 ) / ( zcca + zepsi ) * rswitch |
---|
508 | END DO |
---|
509 | END DO |
---|
510 | |
---|
511 | CALL lbc_lnk( v_ice(:,:), 'V', -1. ) |
---|
512 | #if defined key_agrif && defined key_lim2 |
---|
513 | CALL agrif_rhg_lim2( jter, nn_nevp, 'V' ) |
---|
514 | #endif |
---|
515 | #if defined key_bdy |
---|
516 | CALL bdy_ice_lim_dyn( 'V' ) |
---|
517 | #endif |
---|
518 | |
---|
519 | DO jj = k_j1+1, k_jpj-1 |
---|
520 | DO ji = fs_2, fs_jpim1 |
---|
521 | rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zmass1(ji,jj) ) ) ) * umask(ji,jj,1) |
---|
522 | z0 = zmass1(ji,jj) * z1_dtevp |
---|
523 | zv_ice1 = 0.5 * ( ( v_ice(ji ,jj) + v_ice(ji ,jj-1) ) * e1t(ji,jj) & |
---|
524 | & + ( v_ice(ji+1,jj) + v_ice(ji+1,jj-1) ) * e1t(ji+1,jj) ) & |
---|
525 | & / ( e1t(ji+1,jj) + e1t(ji,jj) ) * umask(ji,jj,1) |
---|
526 | |
---|
527 | za = rhoco * SQRT( ( u_ice(ji,jj) - u_oce(ji,jj) )**2 + & |
---|
528 | & ( zv_ice1 - v_oce1(ji,jj) )**2 ) * ( 1.0 - zfrld1(ji,jj) ) |
---|
529 | zr = z0 * u_ice(ji,jj) + zf1(ji,jj) + za1ct(ji,jj) + za * u_oce(ji,jj) |
---|
530 | zcca = z0 + za |
---|
531 | zccb = zcorl1(ji,jj) |
---|
532 | u_ice(ji,jj) = ( zr + zccb * zv_ice1 ) / ( zcca + zepsi ) * rswitch |
---|
533 | END DO |
---|
534 | END DO |
---|
535 | |
---|
536 | CALL lbc_lnk( u_ice(:,:), 'U', -1. ) |
---|
537 | #if defined key_agrif && defined key_lim2 |
---|
538 | CALL agrif_rhg_lim2( jter, nn_nevp, 'U' ) |
---|
539 | #endif |
---|
540 | #if defined key_bdy |
---|
541 | CALL bdy_ice_lim_dyn( 'U' ) |
---|
542 | #endif |
---|
543 | |
---|
544 | ENDIF |
---|
545 | |
---|
546 | IF(ln_ctl) THEN |
---|
547 | !--- Convergence test. |
---|
548 | DO jj = k_j1+1 , k_jpj-1 |
---|
549 | zresr(:,jj) = MAX( ABS( u_ice(:,jj) - zu_ice(:,jj) ), ABS( v_ice(:,jj) - zv_ice(:,jj) ) ) |
---|
550 | END DO |
---|
551 | zresm = MAXVAL( zresr( 1:jpi, k_j1+1:k_jpj-1 ) ) |
---|
552 | IF( lk_mpp ) CALL mpp_max( zresm ) ! max over the global domain |
---|
553 | ENDIF |
---|
554 | |
---|
555 | ! ! ==================== ! |
---|
556 | END DO ! end loop over jter ! |
---|
557 | ! ! ==================== ! |
---|
558 | ! |
---|
559 | !------------------------------------------------------------------------------! |
---|
560 | ! 4) Prevent ice velocities when the ice is thin |
---|
561 | !------------------------------------------------------------------------------! |
---|
562 | ! If the ice volume is below zvmin then ice velocity should equal the |
---|
563 | ! ocean velocity. This prevents high velocity when ice is thin |
---|
564 | DO jj = k_j1+1, k_jpj-1 |
---|
565 | DO ji = fs_2, fs_jpim1 |
---|
566 | IF ( vt_i(ji,jj) <= zvmin ) THEN |
---|
567 | u_ice(ji,jj) = u_oce(ji,jj) |
---|
568 | v_ice(ji,jj) = v_oce(ji,jj) |
---|
569 | ENDIF |
---|
570 | END DO |
---|
571 | END DO |
---|
572 | |
---|
573 | CALL lbc_lnk_multi( u_ice(:,:), 'U', -1., v_ice(:,:), 'V', -1. ) |
---|
574 | |
---|
575 | #if defined key_agrif && defined key_lim2 |
---|
576 | CALL agrif_rhg_lim2( nn_nevp , nn_nevp, 'U' ) |
---|
577 | CALL agrif_rhg_lim2( nn_nevp , nn_nevp, 'V' ) |
---|
578 | #endif |
---|
579 | #if defined key_bdy |
---|
580 | CALL bdy_ice_lim_dyn( 'U' ) |
---|
581 | CALL bdy_ice_lim_dyn( 'V' ) |
---|
582 | #endif |
---|
583 | |
---|
584 | DO jj = k_j1+1, k_jpj-1 |
---|
585 | DO ji = fs_2, fs_jpim1 |
---|
586 | IF ( vt_i(ji,jj) <= zvmin ) THEN |
---|
587 | v_ice1(ji,jj) = 0.5_wp * ( ( v_ice(ji ,jj) + v_ice(ji, jj-1) ) * e1t(ji+1,jj) & |
---|
588 | & + ( v_ice(ji+1,jj) + v_ice(ji+1,jj-1) ) * e1t(ji ,jj) ) & |
---|
589 | & / ( e1t(ji+1,jj) + e1t(ji,jj) ) * umask(ji,jj,1) |
---|
590 | |
---|
591 | u_ice2(ji,jj) = 0.5_wp * ( ( u_ice(ji,jj ) + u_ice(ji-1,jj ) ) * e2t(ji,jj+1) & |
---|
592 | & + ( u_ice(ji,jj+1) + u_ice(ji-1,jj+1) ) * e2t(ji,jj ) ) & |
---|
593 | & / ( e2t(ji,jj+1) + e2t(ji,jj) ) * vmask(ji,jj,1) |
---|
594 | ENDIF |
---|
595 | END DO |
---|
596 | END DO |
---|
597 | |
---|
598 | CALL lbc_lnk_multi( u_ice2(:,:), 'V', -1., v_ice1(:,:), 'U', -1. ) |
---|
599 | |
---|
600 | ! Recompute delta, shear and div, inputs for mechanical redistribution |
---|
601 | DO jj = k_j1+1, k_jpj-1 |
---|
602 | DO ji = fs_2, jpim1 !RB bug no vect opt due to zmask |
---|
603 | !- divu_i(:,:), zdt(:,:): divergence and tension at centre |
---|
604 | !- zds(:,:): shear on northeast corner of grid cells |
---|
605 | IF ( vt_i(ji,jj) <= zvmin ) THEN |
---|
606 | |
---|
607 | divu_i(ji,jj) = ( e2u(ji,jj) * u_ice(ji,jj) - e2u(ji-1,jj ) * u_ice(ji-1,jj ) & |
---|
608 | & + e1v(ji,jj) * v_ice(ji,jj) - e1v(ji ,jj-1) * v_ice(ji ,jj-1) & |
---|
609 | & ) * r1_e1e2t(ji,jj) |
---|
610 | |
---|
611 | zdt(ji,jj) = ( ( u_ice(ji,jj) * r1_e2u(ji,jj) - u_ice(ji-1,jj) * r1_e2u(ji-1,jj) ) * e2t(ji,jj) * e2t(ji,jj) & |
---|
612 | & -( v_ice(ji,jj) * r1_e1v(ji,jj) - v_ice(ji,jj-1) * r1_e1v(ji,jj-1) ) * e1t(ji,jj) * e1t(ji,jj) & |
---|
613 | & ) * r1_e1e2t(ji,jj) |
---|
614 | ! |
---|
615 | ! SB modif because ocean has no slip boundary condition |
---|
616 | zds(ji,jj) = ( ( u_ice(ji,jj+1) * r1_e1u(ji,jj+1) - u_ice(ji,jj) * r1_e1u(ji,jj) ) * e1f(ji,jj) * e1f(ji,jj) & |
---|
617 | & +( v_ice(ji+1,jj) * r1_e2v(ji+1,jj) - v_ice(ji,jj) * r1_e2v(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) & |
---|
618 | & ) * r1_e1e2f(ji,jj) * ( 2.0 - fmask(ji,jj,1) ) & |
---|
619 | & * zmask(ji,jj) * zmask(ji,jj+1) * zmask(ji+1,jj) * zmask(ji+1,jj+1) |
---|
620 | |
---|
621 | zdst = ( e2u(ji,jj) * v_ice1(ji,jj) - e2u(ji-1,jj ) * v_ice1(ji-1,jj ) & |
---|
622 | & + e1v(ji,jj) * u_ice2(ji,jj) - e1v(ji ,jj-1) * u_ice2(ji ,jj-1) ) * r1_e1e2t(ji,jj) |
---|
623 | |
---|
624 | delta = SQRT( divu_i(ji,jj)**2 + ( zdt(ji,jj)**2 + zdst**2 ) * usecc2 ) |
---|
625 | delta_i(ji,jj) = delta + rn_creepl |
---|
626 | |
---|
627 | ENDIF |
---|
628 | END DO |
---|
629 | END DO |
---|
630 | ! |
---|
631 | !------------------------------------------------------------------------------! |
---|
632 | ! 5) Store stress tensor and its invariants |
---|
633 | !------------------------------------------------------------------------------! |
---|
634 | ! * Invariants of the stress tensor are required for limitd_me |
---|
635 | ! (accelerates convergence and improves stability) |
---|
636 | DO jj = k_j1+1, k_jpj-1 |
---|
637 | DO ji = fs_2, fs_jpim1 |
---|
638 | zdst = ( e2u(ji,jj) * v_ice1(ji,jj) - e2u( ji-1, jj ) * v_ice1(ji-1,jj) & |
---|
639 | & + e1v(ji,jj) * u_ice2(ji,jj) - e1v( ji , jj-1 ) * u_ice2(ji,jj-1) ) * r1_e1e2t(ji,jj) |
---|
640 | shear_i(ji,jj) = SQRT( zdt(ji,jj) * zdt(ji,jj) + zdst * zdst ) |
---|
641 | END DO |
---|
642 | END DO |
---|
643 | |
---|
644 | ! Lateral boundary condition |
---|
645 | CALL lbc_lnk_multi( divu_i (:,:), 'T', 1., delta_i(:,:), 'T', 1., shear_i(:,:), 'T', 1. ) |
---|
646 | |
---|
647 | ! * Store the stress tensor for the next time step |
---|
648 | stress1_i (:,:) = zs1 (:,:) |
---|
649 | stress2_i (:,:) = zs2 (:,:) |
---|
650 | stress12_i(:,:) = zs12(:,:) |
---|
651 | |
---|
652 | ! |
---|
653 | !------------------------------------------------------------------------------! |
---|
654 | ! 6) Control prints of residual and charge ellipse |
---|
655 | !------------------------------------------------------------------------------! |
---|
656 | ! |
---|
657 | ! print the residual for convergence |
---|
658 | IF(ln_ctl) THEN |
---|
659 | WRITE(charout,FMT="('lim_rhg : res =',D23.16, ' iter =',I4)") zresm, jter |
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660 | CALL prt_ctl_info(charout) |
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661 | CALL prt_ctl(tab2d_1=u_ice, clinfo1=' lim_rhg : u_ice :', tab2d_2=v_ice, clinfo2=' v_ice :') |
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662 | ENDIF |
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663 | |
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664 | ! print charge ellipse |
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665 | ! This can be desactivated once the user is sure that the stress state |
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666 | ! lie on the charge ellipse. See Bouillon et al. 08 for more details |
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667 | IF(ln_ctl) THEN |
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668 | CALL prt_ctl_info('lim_rhg : numit :',ivar1=numit) |
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669 | CALL prt_ctl_info('lim_rhg : nwrite :',ivar1=nwrite) |
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670 | CALL prt_ctl_info('lim_rhg : MOD :',ivar1=MOD(numit,nwrite)) |
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671 | IF( MOD(numit,nwrite) .EQ. 0 ) THEN |
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672 | WRITE(charout,FMT="('lim_rhg :', I4, I6, I1, I1, A10)") 1000, numit, 0, 0, ' ch. ell. ' |
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673 | CALL prt_ctl_info(charout) |
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674 | DO jj = k_j1+1, k_jpj-1 |
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675 | DO ji = 2, jpim1 |
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676 | IF (zpresh(ji,jj) > 1.0) THEN |
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677 | sigma1 = ( zs1(ji,jj) + (zs2(ji,jj)**2 + 4*zs12(ji,jj)**2 )**0.5 ) / ( 2*zpresh(ji,jj) ) |
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678 | sigma2 = ( zs1(ji,jj) - (zs2(ji,jj)**2 + 4*zs12(ji,jj)**2 )**0.5 ) / ( 2*zpresh(ji,jj) ) |
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679 | WRITE(charout,FMT="('lim_rhg :', I4, I4, D23.16, D23.16, D23.16, D23.16, A10)") |
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680 | CALL prt_ctl_info(charout) |
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681 | ENDIF |
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682 | END DO |
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683 | END DO |
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684 | WRITE(charout,FMT="('lim_rhg :', I4, I6, I1, I1, A10)") 2000, numit, 0, 0, ' ch. ell. ' |
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685 | CALL prt_ctl_info(charout) |
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686 | ENDIF |
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687 | ENDIF |
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688 | ! |
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689 | CALL wrk_dealloc( jpi,jpj, zpresh, zfrld1, zmass1, zcorl1, za1ct , zpreshc, zfrld2, zmass2, zcorl2, za2ct ) |
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690 | CALL wrk_dealloc( jpi,jpj, u_oce2, u_ice2, v_oce1 , v_ice1 , zmask ) |
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691 | CALL wrk_dealloc( jpi,jpj, zf1 , zu_ice, zf2 , zv_ice , zdt , zds ) |
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692 | CALL wrk_dealloc( jpi,jpj, zdt , zds , zs1 , zs2 , zs12 , zresr , zpice ) |
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693 | |
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694 | END SUBROUTINE lim_rhg |
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695 | |
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696 | #else |
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697 | !!---------------------------------------------------------------------- |
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698 | !! Default option Dummy module NO LIM sea-ice model |
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699 | !!---------------------------------------------------------------------- |
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700 | CONTAINS |
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701 | SUBROUTINE lim_rhg( k1 , k2 ) ! Dummy routine |
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702 | WRITE(*,*) 'lim_rhg: You should not have seen this print! error?', k1, k2 |
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703 | END SUBROUTINE lim_rhg |
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704 | #endif |
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705 | |
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706 | !!============================================================================== |
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707 | END MODULE limrhg |
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