1 | MODULE icedyn_rhg_vp |
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2 | !!====================================================================== |
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3 | !! *** MODULE icedyn_rhg_vp *** |
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4 | !! Sea-Ice dynamics : Viscous-plastic rheology with LSR technique |
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5 | !!====================================================================== |
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6 | !! |
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7 | !! History : - ! 1997-20 (J. Zhang, M. Losch) Original code, implementation into mitGCM |
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8 | !! 4.0 ! 2020-09 (M. Vancoppenolle) Adaptation to SI3 |
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9 | !! |
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10 | !!---------------------------------------------------------------------- |
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11 | #if defined key_si3 |
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12 | !!---------------------------------------------------------------------- |
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13 | !! 'key_si3' SI3 sea-ice model |
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14 | !!---------------------------------------------------------------------- |
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15 | !! ice_dyn_rhg_vp : computes ice velocities from VP rheolog with LSR solvery |
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16 | !!---------------------------------------------------------------------- |
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17 | USE phycst ! Physical constants |
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18 | USE dom_oce ! Ocean domain |
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19 | USE sbc_oce , ONLY : ln_ice_embd, nn_fsbc, ssh_m |
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20 | USE sbc_ice , ONLY : utau_ice, vtau_ice, snwice_mass, snwice_mass_b |
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21 | USE ice ! sea-ice: ice variables |
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22 | USE icevar ! ice_var_sshdyn |
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23 | USE icedyn_rdgrft ! sea-ice: ice strength |
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24 | USE bdy_oce , ONLY : ln_bdy |
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25 | USE bdyice |
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26 | #if defined key_agrif |
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27 | USE agrif_ice_interp |
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28 | #endif |
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29 | ! |
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30 | USE in_out_manager ! I/O manager |
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31 | USE iom ! I/O manager library |
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32 | USE lib_mpp ! MPP library |
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33 | USE lib_fortran ! fortran utilities (glob_sum + no signed zero) |
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34 | USE lbclnk ! lateral boundary conditions (or mpp links) |
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35 | USE prtctl ! Print control |
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36 | |
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37 | USE netcdf ! NetCDF library for convergence test |
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38 | IMPLICIT NONE |
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39 | PRIVATE |
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40 | |
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41 | PUBLIC ice_dyn_rhg_vp ! called by icedyn_rhg.F90 |
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42 | |
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43 | !! for convergence tests |
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44 | INTEGER :: ncvgid ! netcdf file id |
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45 | INTEGER :: nvarid_ucvg ! netcdf variable id |
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46 | INTEGER :: nvarid_ures |
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47 | INTEGER :: nvarid_vres |
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48 | INTEGER :: nvarid_velres |
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49 | INTEGER :: nvarid_udif |
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50 | INTEGER :: nvarid_vdif |
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51 | INTEGER :: nvarid_mke |
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52 | INTEGER :: nvarid_usub, nvarid_vsub |
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53 | |
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54 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zmsk00, zmsk15 |
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55 | |
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56 | !!---------------------------------------------------------------------- |
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57 | !! NEMO/ICE 4.0 , NEMO Consortium (2018) |
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58 | !! $Id: icedyn_rhg_vp.F90 13279 2020-07-09 10:39:43Z clem $ |
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59 | !! Software governed by the CeCILL license (see ./LICENSE) |
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60 | !!---------------------------------------------------------------------- |
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61 | |
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62 | CONTAINS |
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63 | |
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64 | SUBROUTINE ice_dyn_rhg_vp( kt, pshear_i, pdivu_i, pdelta_i ) |
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65 | !!------------------------------------------------------------------- |
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66 | !! |
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67 | !! *** SUBROUTINE ice_dyn_rhg_vp *** |
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68 | !! VP-LSR-C-grid |
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69 | !! |
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70 | !! ** Purpose : determines sea ice drift from wind stress, ice-ocean |
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71 | !! stress and sea-surface slope. Internal forces assume viscous-plastic rheology (Hibler, 1979) |
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72 | !! |
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73 | !! ** Method |
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74 | !! |
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75 | !! The resolution algorithm follows from Zhang and Hibler (1997) and Losch (2010) |
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76 | !! with elements from Lemieux and Tremblay (2008) and Lemieux and Tremblay (2009) |
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77 | !! |
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78 | !! The components of the momentum equations are arranged following the ideas of Zhang and Hibler (1997) |
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79 | !! |
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80 | !! f1(u) = g1(v) |
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81 | !! f2(v) = g2(v) |
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82 | !! |
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83 | !! The right-hand side (RHS) is explicit |
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84 | !! The left-hand side (LHS) is implicit |
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85 | !! Coriolis is part of explicit terms, whereas ice-ocean drag is implicit |
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86 | !! |
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87 | !! Two iteration levels (outer and inner loops) are used to solve the equations |
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88 | !! |
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89 | !! The outer loop (OL, typically 10 iterations) is there to deal with the (strong) non-linearities in the equation |
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90 | !! |
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91 | !! The inner loop (IL, typically 1500 iterations) is there to solve the linear problem with a line-successive-relaxation algorithm |
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92 | !! |
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93 | !! The velocity used in the non-linear terms uses a "modified euler time step" (not sure its the correct term), |
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94 | !!! with uk = ( uk-1 + uk-2 ) / 2. |
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95 | !! |
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96 | !! * Spatial discretization |
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97 | !! |
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98 | !! Assumes a C-grid |
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99 | !! |
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100 | !! The points in the C-grid look like this, my darling |
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101 | !! |
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102 | !! (ji,jj) |
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103 | !! | |
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104 | !! | |
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105 | !! (ji-1,jj) | (ji,jj) |
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106 | !! --------- |
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107 | !! | | |
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108 | !! | (ji,jj) |------(ji,jj) |
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109 | !! | | |
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110 | !! --------- |
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111 | !! (ji-1,jj-1) (ji,jj-1) |
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112 | !! |
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113 | !! ** Inputs : - wind forcing (stress), oceanic currents |
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114 | !! ice total volume (vt_i) per unit area |
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115 | !! snow total volume (vt_s) per unit area |
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116 | !! |
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117 | !! ** Action : |
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118 | !! |
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119 | !! ** Steps : |
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120 | !! |
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121 | !! ** Notes : |
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122 | !! |
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123 | !! References : Zhang and Hibler, JGR 1997; Losch et al., OM 2010., Lemieux et al., 2008, 2009, ... |
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124 | !! |
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125 | !! |
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126 | !!------------------------------------------------------------------- |
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127 | !! |
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128 | INTEGER , INTENT(in ) :: kt ! time step |
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129 | REAL(wp), DIMENSION(:,:), INTENT( out) :: pshear_i , pdivu_i , pdelta_i ! |
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130 | !! |
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131 | LOGICAL :: ll_u_iterate, ll_v_iterate ! continue iteration or not |
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132 | ! |
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133 | INTEGER :: ji, ji2, jj, jj2, jn ! dummy loop indices |
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134 | INTEGER :: jter, i_out, i_inn ! |
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135 | INTEGER :: ji_min, jj_min ! |
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136 | INTEGER :: nn_zebra_vp ! number of zebra steps |
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137 | |
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138 | INTEGER :: nn_thomas ! tridiagonal system version (1=mitgcm, 2=martin) |
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139 | |
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140 | INTEGER :: nn_nvp ! total number of VP iterations (n_out_vp*n_inn_vp) |
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141 | ! |
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142 | REAL(wp) :: zrhoco ! rau0 * rn_cio |
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143 | REAL(wp) :: ecc2, z1_ecc2 ! square of yield ellipse eccenticity |
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144 | REAL(wp) :: zglob_area ! global ice area for diagnostics |
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145 | REAL(wp) :: zkt ! isotropic tensile strength for landfast ice |
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146 | REAL(wp) :: zm2, zm3, zmassU, zmassV ! ice/snow mass and volume |
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147 | REAL(wp) :: zdeltat, zds2, zdt, zdt2, zdiv, zdiv2 ! temporary scalars |
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148 | REAL(wp) :: zp_deltastar_f ! |
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149 | REAL(wp) :: zu_cV, zv_cU ! |
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150 | REAL(wp) :: zfac, zfac1, zfac2, zfac3 |
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151 | REAL(wp) :: zt12U, zt11U, zt22U, zt21U, zt122U, zt121U |
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152 | REAL(wp) :: zt12V, zt11V, zt22V, zt21V, zt122V, zt121V |
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153 | REAL(wp) :: zAA3, zw, ztau, zuerr_max, zverr_max |
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154 | ! |
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155 | REAL(wp), DIMENSION(jpi,jpj) :: zfmask ! mask at F points for the ice |
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156 | REAL(wp), DIMENSION(jpi,jpj) :: za_iU , za_iV ! ice fraction on U/V points |
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157 | REAL(wp), DIMENSION(jpi,jpj) :: zmU_t, zmV_t ! Acceleration term contribution to RHS |
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158 | REAL(wp), DIMENSION(jpi,jpj) :: zmassU_t, zmassV_t ! Mass per unit area divided by time step |
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159 | ! |
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160 | REAL(wp), DIMENSION(jpi,jpj) :: zdeltastar_t ! Delta* at T-points |
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161 | REAL(wp), DIMENSION(jpi,jpj) :: zten_i ! Tension |
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162 | REAL(wp), DIMENSION(jpi,jpj) :: zp_deltastar_t ! P/delta* at T points |
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163 | REAL(wp), DIMENSION(jpi,jpj) :: zzt, zet ! Viscosity pre-factors at T points |
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164 | REAL(wp), DIMENSION(jpi,jpj) :: zef ! Viscosity pre-factor at F point |
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165 | ! |
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166 | REAL(wp), DIMENSION(jpi,jpj) :: zmt ! Mass per unit area at t-point |
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167 | REAL(wp), DIMENSION(jpi,jpj) :: zmf ! Coriolis factor (m*f) at t-point |
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168 | REAL(wp), DIMENSION(jpi,jpj) :: v_oceU, u_oceV, v_iceU, u_iceV ! ocean/ice u/v component on V/U points |
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169 | REAL(wp), DIMENSION(jpi,jpj) :: zu_c, zv_c ! "current" ice velocity (m/s), average of previous two OL iterates |
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170 | REAL(wp), DIMENSION(jpi,jpj) :: zu_b, zv_b ! velocity at previous sub-iterate |
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171 | REAL(wp), DIMENSION(jpi,jpj) :: zuerr, zverr ! absolute U/Vvelocity difference between current and previous sub-iterates |
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172 | ! |
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173 | REAL(wp), DIMENSION(jpi,jpj) :: zds ! shear |
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174 | REAL(wp), DIMENSION(jpi,jpj) :: zsshdyn ! array used for the calculation of ice surface slope: |
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175 | ! ! ocean surface (ssh_m) if ice is not embedded |
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176 | ! ! ice bottom surface if ice is embedded |
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177 | REAL(wp), DIMENSION(jpi,jpj) :: zCwU, zCwV ! ice-ocean drag pre-factor (rho*c*module(u)) |
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178 | REAL(wp), DIMENSION(jpi,jpj) :: zspgU, zspgV ! surface pressure gradient at U/V points |
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179 | REAL(wp), DIMENSION(jpi,jpj) :: zCorU, zCorV ! Coriolis stress array |
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180 | REAL(wp), DIMENSION(jpi,jpj) :: ztaux_ai, ztauy_ai ! ice-atm. stress at U-V points |
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181 | REAL(wp), DIMENSION(jpi,jpj) :: ztaux_oi_rhsu, ztauy_oi_rhsv ! ice-ocean stress RHS contribution at U-V points |
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182 | REAL(wp), DIMENSION(jpi,jpj) :: zs1_rhsu, zs2_rhsu, zs12_rhsu ! internal stress contributions to RHSU |
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183 | REAL(wp), DIMENSION(jpi,jpj) :: zs1_rhsv, zs2_rhsv, zs12_rhsv ! internal stress contributions to RHSV |
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184 | REAL(wp), DIMENSION(jpi,jpj) :: zf_rhsu, zf_rhsv ! U- and V- components of internal force RHS contributions |
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185 | REAL(wp), DIMENSION(jpi,jpj) :: zrhsu, zrhsv ! U and V RHS |
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186 | REAL(wp), DIMENSION(jpi,jpj) :: zAU, zBU, zCU, zDU, zEU ! Linear system coefficients, U equation |
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187 | REAL(wp), DIMENSION(jpi,jpj) :: zAV, zBV, zCV, zDV, zEV ! Linear system coefficients, V equation |
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188 | REAL(wp), DIMENSION(jpi,jpj) :: zFU, zFU_prime, zBU_prime ! Rearranged linear system coefficients, U equation |
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189 | REAL(wp), DIMENSION(jpi,jpj) :: zFV, zFV_prime, zBV_prime ! Rearranged linear system coefficients, V equation |
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190 | REAL(wp), DIMENSION(jpi,jpj) :: zCU_prime, zCV_prime ! Rearranged linear system coefficients, V equation |
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191 | !!! REAL(wp), DIMENSION(jpi,jpj) :: ztaux_bi, ztauy_bi ! ice-OceanBottom stress at U-V points (landfast) |
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192 | !!! REAL(wp), DIMENSION(jpi,jpj) :: ztaux_base, ztauy_base ! ice-bottom stress at U-V points (landfast) |
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193 | ! |
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194 | REAL(wp), DIMENSION(jpi,jpj) :: zmsk01x, zmsk01y ! mask for lots of ice (1), little ice (0) |
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195 | REAL(wp), DIMENSION(jpi,jpj) :: zmsk00x, zmsk00y ! mask for ice presence (1), no ice (0) |
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196 | ! |
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197 | REAL(wp), PARAMETER :: zepsi = 1.0e-20_wp ! tolerance parameter |
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198 | REAL(wp), PARAMETER :: zmmin = 1._wp ! ice mass (kg/m2) below which ice velocity becomes very small |
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199 | REAL(wp), PARAMETER :: zamin = 0.001_wp ! ice concentration below which ice velocity becomes very small |
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200 | !! --- diags |
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201 | REAL(wp) :: zsig1, zsig2, zsig12, zdelta, z1_strength, zfac_x, zfac_y |
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202 | REAL(wp), DIMENSION(jpi,jpj) :: zs1, zs2, zs12, zs12f ! stress tensor components |
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203 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zsig_I, zsig_II, zsig1_p, zsig2_p |
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204 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: ztaux_oi, ztauy_oi |
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205 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_xmtrp_ice, zdiag_ymtrp_ice ! X/Y-component of ice mass transport (kg/s, SIMIP) |
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206 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_xmtrp_snw, zdiag_ymtrp_snw ! X/Y-component of snow mass transport (kg/s, SIMIP) |
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207 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_xatrp, zdiag_yatrp ! X/Y-component of area transport (m2/s, SIMIP) |
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208 | |
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209 | !!---------------------------------------------------------------------------------------------------------------------- |
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210 | ! DEBUG put all forcing terms to zero |
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211 | ! air-ice drag |
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212 | utau_ice(:,:) = 0._wp |
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213 | vtau_ice(:,:) = 0._wp |
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214 | ! coriolis |
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215 | ff_t(:,:) = 0._wp |
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216 | ! ice-ocean drag |
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217 | rn_cio = 0._wp |
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218 | ! ssh |
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219 | ! done line 330 !!! dont forget to act there |
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220 | ! END DEBUG |
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221 | |
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222 | IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_dyn_rhg_vp: VP sea-ice rheology (LSR solver)' |
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223 | IF( lwp ) WRITE(numout,*) '-- ice_dyn_rhg_vp: VP sea-ice rheology (LSR solver)' |
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224 | |
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225 | !------------------------------------------------------------------------------! |
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226 | ! |
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227 | ! --- Initialization |
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228 | ! |
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229 | !------------------------------------------------------------------------------! |
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230 | |
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231 | ! for diagnostics and convergence tests |
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232 | ALLOCATE( zmsk00(jpi,jpj), zmsk15(jpi,jpj) ) |
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233 | DO jj = 1, jpj |
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234 | DO ji = 1, jpi |
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235 | zmsk00(ji,jj) = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi06 ) ) ! 1 if ice , 0 if no ice |
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236 | zmsk15(ji,jj) = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - 0.15_wp ) ) ! 1 if 15% ice, 0 if less |
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237 | END DO |
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238 | END DO |
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239 | |
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240 | IF ( ln_zebra_vp ) THEN; nn_zebra_vp = 2 |
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241 | ELSE; nn_zebra_vp = 1; ENDIF |
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242 | |
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243 | nn_nvp = nn_nout_vp * nn_ninn_vp ! maximum number of iterations |
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244 | |
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245 | IF( lwp ) WRITE(numout,*) ' ln_zebra_vp : ', ln_zebra_vp |
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246 | IF( lwp ) WRITE(numout,*) ' nn_zebra_vp : ', nn_zebra_vp |
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247 | IF( lwp ) WRITE(numout,*) ' nn_nvp : ', nn_nvp |
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248 | |
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249 | zrhoco = rau0 * rn_cio |
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250 | |
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251 | ! ecc2: square of yield ellipse eccentricity |
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252 | ecc2 = rn_ecc * rn_ecc |
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253 | z1_ecc2 = 1._wp / ecc2 |
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254 | |
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255 | ! Initialise convergence checks |
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256 | IF( ln_rhg_chkcvg ) THEN |
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257 | |
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258 | ! ice area for global mean kinetic energy |
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259 | zglob_area = glob_sum( 'ice_rhg_vp', at_i(:,:) * e1e2t(:,:) ) ! global ice area (km2) |
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260 | |
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261 | ENDIF |
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262 | |
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263 | ! Landfast param from Lemieux(2016): add isotropic tensile strength (following Konig Beatty and Holland, 2010) |
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264 | ! MV: Not working yet... |
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265 | IF( ln_landfast_L16 ) THEN ; zkt = rn_lf_tensile |
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266 | ELSE ; zkt = 0._wp |
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267 | ENDIF |
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268 | |
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269 | zs1_rhsu(:,:) = 0._wp; zs2_rhsu(:,:) = 0._wp; zs1_rhsv(:,:) = 0._wp; zs2_rhsv(:,:) = 0._wp |
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270 | zAU(:,:) = 0._wp; zBU(:,:) = 0._wp; zCU(:,:) = 0._wp; zDU(:,:) = 0._wp; zEU(:,:) = 0._wp; |
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271 | zAV(:,:) = 0._wp; zBV(:,:) = 0._wp; zCV(:,:) = 0._wp; zDV(:,:) = 0._wp; zEV(:,:) = 0._wp; |
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272 | zrhsu(:,:) = 0._wp; zrhsv(:,:) = 0._wp |
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273 | zf_rhsu(:,:) = 0._wp; zf_rhsv(:,:) = 0._wp |
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274 | |
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275 | !------------------------------------------------------------------------------! |
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276 | ! |
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277 | ! --- Time-independent quantities |
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278 | ! |
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279 | !------------------------------------------------------------------------------! |
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280 | |
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281 | CALL ice_strength ! strength at T points |
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282 | |
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283 | !------------------------------ |
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284 | ! -- F-mask (code from EVP) |
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285 | !------------------------------ |
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286 | ! MartinV: |
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287 | ! In EVP routine, zfmask is applied on shear at F-points, in order to enforce the lateral boundary condition (no-slip, ..., free-slip) |
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288 | ! I am not sure the same recipe applies here |
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289 | |
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290 | ! - ocean/land mask |
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291 | DO jj = 1, jpj - 1 |
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292 | DO ji = 1, jpi - 1 |
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293 | zfmask(ji,jj) = tmask(ji,jj,1) * tmask(ji+1,jj,1) * tmask(ji,jj+1,1) * tmask(ji+1,jj+1,1) |
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294 | END DO |
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295 | END DO |
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296 | CALL lbc_lnk( 'icedyn_rhg_vp', zfmask, 'F', 1._wp ) |
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297 | |
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298 | ! Lateral boundary conditions on velocity (modify zfmask) |
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299 | ! Can be computed once for all, at first time step, for all rheologies |
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300 | DO jj = 2, jpj - 1 |
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301 | DO ji = 2, jpi - 1 ! vector opt. |
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302 | IF( zfmask(ji,jj) == 0._wp ) THEN |
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303 | zfmask(ji,jj) = rn_ishlat * MIN( 1._wp , MAX( umask(ji,jj,1), umask(ji,jj+1,1), & |
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304 | & vmask(ji,jj,1), vmask(ji+1,jj,1) ) ) |
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305 | ENDIF |
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306 | END DO |
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307 | END DO |
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308 | DO jj = 2, jpj - 1 |
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309 | IF( zfmask(1,jj) == 0._wp ) THEN |
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310 | zfmask(1 ,jj) = rn_ishlat * MIN( 1._wp , MAX( vmask(2,jj,1), umask(1,jj+1,1), umask(1,jj,1) ) ) |
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311 | ENDIF |
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312 | IF( zfmask(jpi,jj) == 0._wp ) THEN |
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313 | zfmask(jpi,jj) = rn_ishlat * MIN( 1._wp , MAX( umask(jpi,jj+1,1), vmask(jpi - 1,jj,1), umask(jpi,jj-1,1) ) ) |
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314 | ENDIF |
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315 | END DO |
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316 | DO ji = 2, jpi - 1 |
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317 | IF( zfmask(ji,1) == 0._wp ) THEN |
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318 | zfmask(ji, 1 ) = rn_ishlat * MIN( 1._wp , MAX( vmask(ji+1,1,1), umask(ji,2,1), vmask(ji,1,1) ) ) |
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319 | ENDIF |
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320 | IF( zfmask(ji,jpj) == 0._wp ) THEN |
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321 | zfmask(ji,jpj) = rn_ishlat * MIN( 1._wp , MAX( vmask(ji+1,jpj,1), vmask(ji-1,jpj,1), umask(ji,jpj - 1,1) ) ) |
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322 | ENDIF |
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323 | END DO |
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324 | |
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325 | CALL lbc_lnk( 'icedyn_rhg_vp', zfmask, 'F', 1._wp ) |
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326 | |
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327 | !---------------------------------------------------------------------------------------------------------- |
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328 | ! -- Time-independent pre-factors for acceleration, ocean drag, coriolis, atmospheric drag, surface tilt |
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329 | !---------------------------------------------------------------------------------------------------------- |
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330 | ! Compute all terms & factors independent of velocities, or only depending on velocities at previous time step |
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331 | |
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332 | ! sea surface height |
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333 | ! embedded sea ice: compute representative ice top surface |
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334 | ! non-embedded sea ice: use ocean surface for slope calculation |
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335 | zsshdyn(:,:) = ice_var_sshdyn( ssh_m, snwice_mass, snwice_mass_b) |
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336 | zsshdyn(:,:) = 0._wp ! DEBUG CAREFUL !!! |
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337 | |
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338 | DO jj = 2, jpj - 1 |
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339 | DO ji = 2, jpi - 1 |
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340 | |
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341 | ! Ice fraction at U-V points |
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342 | za_iU(ji,jj) = 0.5_wp * ( at_i(ji,jj) * e1e2t(ji,jj) + at_i(ji+1,jj) * e1e2t(ji+1,jj) ) * r1_e1e2u(ji,jj) * umask(ji,jj,1) |
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343 | za_iV(ji,jj) = 0.5_wp * ( at_i(ji,jj) * e1e2t(ji,jj) + at_i(ji,jj+1) * e1e2t(ji,jj+1) ) * r1_e1e2v(ji,jj) * vmask(ji,jj,1) |
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344 | |
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345 | ! Snow and ice mass at U-V points |
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346 | zmt(ji,jj) = ( rhos * vt_s(ji ,jj ) + rhoi * vt_i(ji ,jj ) ) |
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347 | zm2 = ( rhos * vt_s(ji+1,jj ) + rhoi * vt_i(ji+1,jj ) ) |
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348 | zm3 = ( rhos * vt_s(ji ,jj+1) + rhoi * vt_i(ji ,jj+1) ) |
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349 | |
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350 | zmassU = 0.5_wp * ( zmt(ji,jj) * e1e2t(ji,jj) + zm2 * e1e2t(ji+1,jj) ) * r1_e1e2u(ji,jj) * umask(ji,jj,1) |
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351 | zmassV = 0.5_wp * ( zmt(ji,jj) * e1e2t(ji,jj) + zm3 * e1e2t(ji,jj+1) ) * r1_e1e2v(ji,jj) * vmask(ji,jj,1) |
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352 | |
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353 | ! Mass per unit area divided by time step |
---|
354 | zmassU_t(ji,jj) = zmassU * r1_rdtice |
---|
355 | zmassV_t(ji,jj) = zmassV * r1_rdtice |
---|
356 | |
---|
357 | ! Acceleration term contribution to RHS (depends on velocity at previous time step) |
---|
358 | zmU_t(ji,jj) = zmassU_t(ji,jj) * u_ice(ji,jj) |
---|
359 | zmV_t(ji,jj) = zmassV_t(ji,jj) * v_ice(ji,jj) |
---|
360 | |
---|
361 | ! Ocean currents at U-V points |
---|
362 | v_oceU(ji,jj) = 0.25_wp * ( v_oce(ji,jj) + v_oce(ji,jj-1) + v_oce(ji+1,jj) + v_oce(ji+1,jj-1) ) * umask(ji,jj,1) |
---|
363 | u_oceV(ji,jj) = 0.25_wp * ( u_oce(ji,jj) + u_oce(ji-1,jj) + u_oce(ji,jj+1) + u_oce(ji-1,jj+1) ) * vmask(ji,jj,1) |
---|
364 | |
---|
365 | ! Coriolis factor at T points (m*f) |
---|
366 | zmf(ji,jj) = zmt(ji,jj) * ff_t(ji,jj) |
---|
367 | |
---|
368 | ! Wind stress |
---|
369 | ztaux_ai(ji,jj) = za_iU(ji,jj) * utau_ice(ji,jj) |
---|
370 | ztauy_ai(ji,jj) = za_iV(ji,jj) * vtau_ice(ji,jj) |
---|
371 | |
---|
372 | ! Force due to sea surface tilt(- m*g*GRAD(ssh)) |
---|
373 | zspgU(ji,jj) = - zmassU * grav * ( zsshdyn(ji+1,jj) - zsshdyn(ji,jj) ) * r1_e1u(ji,jj) |
---|
374 | zspgV(ji,jj) = - zmassV * grav * ( zsshdyn(ji,jj+1) - zsshdyn(ji,jj) ) * r1_e2v(ji,jj) |
---|
375 | |
---|
376 | ! Mask for ice presence (1) or absence (0) |
---|
377 | zmsk00x(ji,jj) = 1._wp - MAX( 0._wp, SIGN( 1._wp, -zmassU ) ) ! 0 if no ice |
---|
378 | zmsk00y(ji,jj) = 1._wp - MAX( 0._wp, SIGN( 1._wp, -zmassV ) ) ! 0 if no ice |
---|
379 | |
---|
380 | ! Mask for lots of ice (1) or little ice (0) |
---|
381 | IF( zmassU <= zmmin .AND. za_iU(ji,jj) <= zamin ) THEN ; zmsk01x(ji,jj) = 0._wp |
---|
382 | ELSE ; zmsk01x(ji,jj) = 1._wp ; ENDIF |
---|
383 | IF( zmassV <= zmmin .AND. za_iV(ji,jj) <= zamin ) THEN ; zmsk01y(ji,jj) = 0._wp |
---|
384 | ELSE ; zmsk01y(ji,jj) = 1._wp ; ENDIF |
---|
385 | |
---|
386 | END DO |
---|
387 | END DO |
---|
388 | |
---|
389 | CALL iom_put( 'zmsk00x' , zmsk00x ) ! MV DEBUG |
---|
390 | CALL iom_put( 'zmsk00y' , zmsk00y ) ! MV DEBUG |
---|
391 | CALL iom_put( 'zmsk01x' , zmsk01x ) ! MV DEBUG |
---|
392 | CALL iom_put( 'zmsk01y' , zmsk01y ) ! MV DEBUG |
---|
393 | CALL iom_put( 'ztauy_ai' , ztauy_ai ) ! MV DEBUG |
---|
394 | CALL iom_put( 'ztaux_ai' , ztaux_ai ) ! MV DEBUG |
---|
395 | CALL iom_put( 'ztauy_ai' , ztauy_ai ) ! MV DEBUG |
---|
396 | CALL iom_put( 'zspgU' , zspgU ) ! MV DEBUG |
---|
397 | CALL iom_put( 'zspgV' , zspgV ) ! MV DEBUG |
---|
398 | |
---|
399 | !------------------------------------------------------------------------------! |
---|
400 | ! |
---|
401 | ! --- Start outer loop |
---|
402 | ! |
---|
403 | !------------------------------------------------------------------------------! |
---|
404 | |
---|
405 | zu_c(:,:) = u_ice(:,:) |
---|
406 | zv_c(:,:) = v_ice(:,:) |
---|
407 | |
---|
408 | jter = 0 |
---|
409 | |
---|
410 | DO i_out = 1, nn_nout_vp |
---|
411 | |
---|
412 | IF( lwp ) WRITE(numout,*) ' outer loop i_out : ', i_out |
---|
413 | |
---|
414 | ! Velocities used in the non linear terms are the average of the past two iterates |
---|
415 | ! u_it = 0.5 * ( u_{it-1} + u_{it-2}) |
---|
416 | ! Also used in Hibler and Ackley (1983); Zhang and Hibler (1997); Lemieux and Tremblay (2009) |
---|
417 | zu_c(:,:) = 0.5_wp * ( u_ice(:,:) + zu_c(:,:) ) |
---|
418 | zv_c(:,:) = 0.5_wp * ( v_ice(:,:) + zv_c(:,:) ) |
---|
419 | |
---|
420 | !------------------------------------------------------------------------------! |
---|
421 | ! |
---|
422 | ! --- Right-hand side (RHS) of the linear problem |
---|
423 | ! |
---|
424 | !------------------------------------------------------------------------------! |
---|
425 | ! In the outer loop, one needs to update all RHS terms |
---|
426 | ! with explicit velocity dependencies (viscosities, coriolis, ocean stress) |
---|
427 | ! as a function of uc |
---|
428 | ! |
---|
429 | |
---|
430 | !------------------------------------------ |
---|
431 | ! -- Strain rates, viscosities and P/Delta |
---|
432 | !------------------------------------------ |
---|
433 | |
---|
434 | ! --- divergence, tension & shear (Appendix B of Hunke & Dukowicz, 2002) --- ! |
---|
435 | DO jj = 1, jpj - 1 ! loops start at 1 since there is no boundary condition (lbc_lnk) at i=1 and j=1 for F points |
---|
436 | DO ji = 1, jpi - 1 |
---|
437 | |
---|
438 | ! shear at F points |
---|
439 | zds(ji,jj) = ( ( zu_c(ji,jj+1) * r1_e1u(ji,jj+1) - zu_c(ji,jj) * r1_e1u(ji,jj) ) * e1f(ji,jj) * e1f(ji,jj) & |
---|
440 | & + ( zv_c(ji+1,jj) * r1_e2v(ji+1,jj) - zv_c(ji,jj) * r1_e2v(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) & |
---|
441 | & ) * r1_e1e2f(ji,jj) * zfmask(ji,jj) |
---|
442 | |
---|
443 | END DO |
---|
444 | END DO |
---|
445 | |
---|
446 | CALL lbc_lnk( 'icedyn_rhg_vp', zds, 'F', 1. ) ! MV TEST could be un-necessary according to Gurvan |
---|
447 | CALL iom_put( 'zds' , zds ) ! MV DEBUG |
---|
448 | |
---|
449 | IF( lwp ) WRITE(numout,*) ' outer loop 1a i_out : ', i_out |
---|
450 | |
---|
451 | DO jj = 2, jpj - 1 ! loop to jpi,jpj to avoid making a communication for zs1,zs2,zs12 |
---|
452 | DO ji = 2, jpi - 1 ! |
---|
453 | |
---|
454 | ! shear**2 at T points (doc eq. A16) |
---|
455 | zds2 = ( zds(ji,jj ) * zds(ji,jj ) * e1e2f(ji,jj ) + zds(ji-1,jj ) * zds(ji-1,jj ) * e1e2f(ji-1,jj ) & |
---|
456 | & + zds(ji,jj-1) * zds(ji,jj-1) * e1e2f(ji,jj-1) + zds(ji-1,jj-1) * zds(ji-1,jj-1) * e1e2f(ji-1,jj-1) & |
---|
457 | & ) * 0.25_wp * r1_e1e2t(ji,jj) |
---|
458 | |
---|
459 | ! divergence at T points |
---|
460 | zdiv = ( e2u(ji,jj) * zu_c(ji,jj) - e2u(ji-1,jj) * zu_c(ji-1,jj) & |
---|
461 | & + e1v(ji,jj) * zv_c(ji,jj) - e1v(ji,jj-1) * zv_c(ji,jj-1) & |
---|
462 | & ) * r1_e1e2t(ji,jj) |
---|
463 | zdiv2 = zdiv * zdiv |
---|
464 | |
---|
465 | ! tension at T points |
---|
466 | zdt = ( ( zu_c(ji,jj) * r1_e2u(ji,jj) - zu_c(ji-1,jj) * r1_e2u(ji-1,jj) ) * e2t(ji,jj) * e2t(ji,jj) & |
---|
467 | & - ( zv_c(ji,jj) * r1_e1v(ji,jj) - zv_c(ji,jj-1) * r1_e1v(ji,jj-1) ) * e1t(ji,jj) * e1t(ji,jj) & |
---|
468 | & ) * r1_e1e2t(ji,jj) |
---|
469 | zdt2 = zdt * zdt |
---|
470 | |
---|
471 | ! delta at T points |
---|
472 | zdeltat = SQRT( zdiv2 + ( zdt2 + zds2 ) * z1_ecc2 ) |
---|
473 | |
---|
474 | ! delta* at T points (following Lemieux and Dupont, GMD 2020) |
---|
475 | zdeltastar_t(ji,jj) = zdeltat + rn_creepl |
---|
476 | |
---|
477 | ! P/delta at T-points |
---|
478 | zp_deltastar_t(ji,jj) = strength(ji,jj) / zdeltastar_t(ji,jj) |
---|
479 | |
---|
480 | ! Temporary zzt and zet factors at T-points |
---|
481 | zzt(ji,jj) = zp_deltastar_t(ji,jj) * r1_e1e2t(ji,jj) |
---|
482 | zet(ji,jj) = zzt(ji,jj) * z1_ecc2 |
---|
483 | |
---|
484 | END DO |
---|
485 | END DO |
---|
486 | |
---|
487 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zp_deltastar_t , 'T', 1. , zzt , 'T', 1., zet, 'T', 1. ) |
---|
488 | |
---|
489 | CALL iom_put( 'zzt' , zzt ) ! MV DEBUG |
---|
490 | CALL iom_put( 'zet' , zet ) ! MV DEBUG |
---|
491 | CALL iom_put( 'zp_deltastar_t', zp_deltastar_t ) ! MV DEBUG |
---|
492 | |
---|
493 | IF( lwp ) WRITE(numout,*) ' outer loop 1b i_out : ', i_out |
---|
494 | |
---|
495 | DO jj = 1, jpj - 1 |
---|
496 | DO ji = 1, jpi - 1 |
---|
497 | |
---|
498 | ! P/delta* at F points |
---|
499 | zp_deltastar_f = 0.25_wp * ( zp_deltastar_t(ji,jj) + zp_deltastar_t(ji+1,jj) + zp_deltastar_t(ji,jj+1) + zp_deltastar_t(ji+1,jj+1) ) |
---|
500 | |
---|
501 | ! Temporary zef factor at F-point |
---|
502 | zef(ji,jj) = zp_deltastar_f * r1_e1e2f(ji,jj) * z1_ecc2 |
---|
503 | |
---|
504 | END DO |
---|
505 | END DO |
---|
506 | |
---|
507 | CALL lbc_lnk( 'icedyn_rhg_vp', zef, 'F', 1. ) |
---|
508 | CALL iom_put( 'zef' , zef ) ! MV DEBUG |
---|
509 | IF( lwp ) WRITE(numout,*) ' outer loop 1c i_out : ', i_out |
---|
510 | |
---|
511 | !--------------------------------------------------- |
---|
512 | ! -- Ocean-ice drag and Coriolis RHS contributions |
---|
513 | !--------------------------------------------------- |
---|
514 | |
---|
515 | DO jj = 2, jpj - 1 |
---|
516 | DO ji = 2, jpi - 1 |
---|
517 | |
---|
518 | !--- ice u-velocity @V points, v-velocity @U points (for non-linear drag computation) |
---|
519 | zu_cV = 0.25_wp * ( zu_c(ji,jj) + zu_c(ji-1,jj) + zu_c(ji,jj+1) + zu_c(ji-1,jj+1) ) * vmask(ji,jj,1) |
---|
520 | zv_cU = 0.25_wp * ( zv_c(ji,jj) + zv_c(ji,jj-1) + zv_c(ji+1,jj) + zv_c(ji+1,jj-1) ) * umask(ji,jj,1) |
---|
521 | |
---|
522 | !--- non-linear drag coefficients (need to be updated at each outer loop, see Lemieux and Tremblay JGR09, p.3, beginning of Section 3) |
---|
523 | zCwU(ji,jj) = za_iU(ji,jj) * zrhoco * SQRT( ( zu_c (ji,jj) - u_oce (ji,jj) ) * ( zu_c (ji,jj) - u_oce (ji,jj) ) & |
---|
524 | & + ( zv_cU - v_oceU(ji,jj) ) * ( zv_cU - v_oceU(ji,jj) ) ) |
---|
525 | zCwV(ji,jj) = za_iV(ji,jj) * zrhoco * SQRT( ( zv_c (ji,jj) - v_oce (ji,jj) ) * ( zv_c (ji,jj) - v_oce (ji,jj) ) & |
---|
526 | & + ( zu_cV - u_oceV(ji,jj) ) * ( zu_cV - u_oceV(ji,jj) ) ) |
---|
527 | |
---|
528 | !--- Ocean-ice drag contributions to RHS |
---|
529 | ztaux_oi_rhsu(ji,jj) = zCwU(ji,jj) * u_oce(ji,jj) |
---|
530 | ztauy_oi_rhsv(ji,jj) = zCwV(ji,jj) * v_oce(ji,jj) |
---|
531 | |
---|
532 | ! --- U-component of Coriolis Force (energy conserving formulation) |
---|
533 | ! Note Lemieux et al 2008 recommend to do that implicitly, but I don't really see how this could be done |
---|
534 | zCorU(ji,jj) = 0.25_wp * r1_e1u(ji,jj) * & |
---|
535 | & ( zmf(ji ,jj) * ( e1v(ji ,jj) * zv_c(ji ,jj) + e1v(ji ,jj-1) * zv_c(ji ,jj-1) ) & |
---|
536 | & + zmf(ji+1,jj) * ( e1v(ji+1,jj) * zv_c(ji+1,jj) + e1v(ji+1,jj-1) * zv_c(ji+1,jj-1) ) ) |
---|
537 | |
---|
538 | ! --- V-component of Coriolis Force (energy conserving formulation) |
---|
539 | zCorV(ji,jj) = - 0.25_wp * r1_e2v(ji,jj) * & |
---|
540 | & ( zmf(ji,jj ) * ( e2u(ji,jj ) * zu_c(ji,jj ) + e2u(ji-1,jj ) * zu_c(ji-1,jj ) ) & |
---|
541 | & + zmf(ji,jj+1) * ( e2u(ji,jj+1) * zu_c(ji,jj+1) + e2u(ji-1,jj+1) * zu_c(ji-1,jj+1) ) ) |
---|
542 | |
---|
543 | END DO |
---|
544 | END DO |
---|
545 | |
---|
546 | IF( lwp ) WRITE(numout,*) ' outer loop 1d i_out : ', i_out |
---|
547 | CALL lbc_lnk( 'icedyn_rhg_vp', zCwU, 'U', 1. ) |
---|
548 | CALL lbc_lnk( 'icedyn_rhg_vp', zCwV, 'V', 1. ) |
---|
549 | |
---|
550 | CALL iom_put( 'zCwU' , zCwU ) ! MV DEBUG |
---|
551 | CALL iom_put( 'zCwV' , zCwV ) ! MV DEBUG |
---|
552 | IF( lwp ) WRITE(numout,*) ' outer loop 1e i_out : ', i_out |
---|
553 | CALL iom_put( 'zCorU' , zCorU ) ! MV DEBUG |
---|
554 | CALL iom_put( 'zCorV' , zCorV ) ! MV DEBUG |
---|
555 | IF( lwp ) WRITE(numout,*) ' outer loop 1f i_out : ', i_out |
---|
556 | |
---|
557 | ! a priori, Coriolis and drag terms only affect diagonal or independent term of the linear system, |
---|
558 | ! so there is no need for lbclnk on drag and coriolis |
---|
559 | |
---|
560 | !------------------------------------- |
---|
561 | ! -- Internal stress RHS contribution |
---|
562 | !------------------------------------- |
---|
563 | |
---|
564 | ! --- Stress contributions at T-points |
---|
565 | DO jj = 2, jpj ! loop to jpi,jpj to avoid making a communication for zs1,zs2,zs12 |
---|
566 | DO ji = 2, jpi ! |
---|
567 | |
---|
568 | ! sig1 contribution to RHS of U-equation at T-points |
---|
569 | zs1_rhsu(ji,jj) = zzt(ji,jj) * ( e1v(ji,jj) * zv_c(ji,jj) - e1v(ji,jj-1) * zv_c(ji,jj-1) - 1.0_wp ) |
---|
570 | |
---|
571 | ! sig2 contribution to RHS of U-equation at T-points |
---|
572 | zs2_rhsu(ji,jj) = - zet(ji,jj) * ( r1_e1v(ji,jj) * zv_c(ji,jj) - r1_e1v(ji,jj-1) * zv_c(ji,jj-1) ) * e1t(ji,jj) * e1t(ji,jj) |
---|
573 | |
---|
574 | ! sig1 contribution to RHS of V-equation at T-points |
---|
575 | zs1_rhsv(ji,jj) = zzt(ji,jj) * ( e2u(ji,jj) * zu_c(ji,jj) - e2u(ji-1,jj) * zu_c(ji-1,jj) - 1.0_wp ) |
---|
576 | |
---|
577 | ! sig2 contribution to RHS of V-equation at T-points |
---|
578 | zs2_rhsv(ji,jj) = zet(ji,jj) * ( r1_e2u(ji,jj) * zu_c(ji,jj) - r1_e2u(ji-1,jj) * zu_c(ji-1,jj) ) * e2t(ji,jj) * e2t(ji,jj) |
---|
579 | |
---|
580 | END DO |
---|
581 | END DO |
---|
582 | |
---|
583 | CALL iom_put( 'zs1_rhsu' , zs1_rhsu ) ! MV DEBUG |
---|
584 | CALL iom_put( 'zs2_rhsu' , zs2_rhsu ) ! MV DEBUG |
---|
585 | CALL iom_put( 'zs1_rhsv' , zs1_rhsv ) ! MV DEBUG |
---|
586 | CALL iom_put( 'zs2_rhsv' , zs2_rhsv ) ! MV DEBUG |
---|
587 | |
---|
588 | ! a priori, no lbclnk, because rhsu is only used in the inner domain |
---|
589 | |
---|
590 | ! --- Stress contributions at f-points |
---|
591 | ! MV NOTE: I applied zfmask on zds, by mimetism on EVP, but without deep understanding of what I was doing |
---|
592 | ! My guess is that this is the way to enforce boundary conditions on strain rate tensor |
---|
593 | |
---|
594 | IF( lwp ) WRITE(numout,*) ' outer loop 2 i_out : ', i_out |
---|
595 | |
---|
596 | DO jj = 1, jpj - 1 |
---|
597 | DO ji = 1, jpi - 1 |
---|
598 | |
---|
599 | ! sig12 contribution to RHS of U equation at F-points |
---|
600 | zs12_rhsu(ji,jj) = - zef(ji,jj) * ( r1_e2v(ji+1,jj) * zv_c(ji+1,jj) - r1_e2v(ji,jj) * zv_c(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) * zfmask(ji,jj) |
---|
601 | |
---|
602 | ! sig12 contribution to RHS of V equation at F-points |
---|
603 | zs12_rhsv(ji,jj) = zef(ji,jj) * ( r1_e1u(ji,jj+1) * zu_c(ji,jj+1) - r1_e1u(ji,jj) * zu_c(ji,jj) ) * e1f(ji,jj) * e1f(ji,jj) * zfmask(ji,jj) |
---|
604 | |
---|
605 | END DO |
---|
606 | END DO |
---|
607 | |
---|
608 | CALL lbc_lnk( 'icedyn_rhg_vp', zs12_rhsu, 'F', 1. ) |
---|
609 | CALL lbc_lnk( 'icedyn_rhg_vp', zs12_rhsv, 'F', 1. ) |
---|
610 | |
---|
611 | CALL iom_put( 'zs12_rhsu' , zs12_rhsu ) ! MV DEBUG |
---|
612 | CALL iom_put( 'zs12_rhsv' , zs12_rhsv ) ! MV DEBUG |
---|
613 | |
---|
614 | ! a priori, no lbclnk, because rhsu are only used in the inner domain |
---|
615 | |
---|
616 | ! --- Internal force contributions to RHS, taken as divergence of stresses (Appendix C of Hunke and Dukowicz, 2002) |
---|
617 | ! OPT: merge with next loop and use intermediate scalars for zf_rhsu |
---|
618 | |
---|
619 | DO jj = 2, jpj - 1 |
---|
620 | DO ji = 2, jpi - 1 |
---|
621 | ! --- U component of internal force contribution to RHS at U points |
---|
622 | zf_rhsu(ji,jj) = 0.5_wp * r1_e1e2u(ji,jj) * & |
---|
623 | ( e2u(ji,jj) * ( zs1_rhsu(ji+1,jj) - zs1_rhsu(ji,jj) ) & |
---|
624 | & + r1_e2u(ji,jj) * ( e2t(ji+1,jj) * e2t(ji+1,jj) * zs2_rhsu(ji+1,jj) - e2t(ji,jj) * e2t(ji,jj) * zs2_rhsu(ji,jj) ) & |
---|
625 | & + 2._wp * r1_e1u(ji,jj) * ( e1f(ji,jj) * e1f(ji,jj) * zs12_rhsu(ji,jj) - e1f(ji,jj-1) * e1f(ji,jj-1) * zs12_rhsu(ji,jj-1) ) ) |
---|
626 | |
---|
627 | ! --- V component of internal force contribution to RHS at V points |
---|
628 | zf_rhsv(ji,jj) = 0.5_wp * r1_e1e2v(ji,jj) * & |
---|
629 | & ( e1v(ji,jj) * ( zs1_rhsv(ji,jj+1) - zs1_rhsv(ji,jj) ) & |
---|
630 | & + r1_e1v(ji,jj) * ( e1t(ji,jj+1) * e1t(ji,jj+1) * zs2_rhsv(ji,jj+1) - e1t(ji,jj) * e1t(ji,jj) * zs2_rhsv(ji,jj) ) & |
---|
631 | & + 2._wp * r1_e2v(ji,jj) * ( e2f(ji,jj) * e2f(ji,jj) * zs12_rhsv(ji,jj) - e2f(ji-1,jj) * e2f(ji-1,jj) * zs12_rhsv(ji-1,jj) ) ) |
---|
632 | |
---|
633 | END DO |
---|
634 | END DO |
---|
635 | |
---|
636 | CALL iom_put( 'zf_rhsu' , zf_rhsu ) ! MV DEBUG |
---|
637 | CALL iom_put( 'zf_rhsv' , zf_rhsv ) ! MV DEBUG |
---|
638 | |
---|
639 | !--------------------------- |
---|
640 | ! -- Sum RHS contributions |
---|
641 | !--------------------------- |
---|
642 | ! |
---|
643 | ! OPT: could use intermediate scalars to reduce memory access |
---|
644 | DO jj = 2, jpj - 1 |
---|
645 | DO ji = 2, jpi - 1 |
---|
646 | |
---|
647 | ! still miss ice ocean stress and acceleration contribution |
---|
648 | zrhsu(ji,jj) = zmU_t(ji,jj) + ztaux_ai(ji,jj) + ztaux_oi_rhsu(ji,jj) + zspgU(ji,jj) + zCorU(ji,jj) + zf_rhsu(ji,jj) |
---|
649 | zrhsv(ji,jj) = zmV_t(ji,jj) + ztauy_ai(ji,jj) + ztauy_oi_rhsv(ji,jj) + zspgV(ji,jj) + zCorV(ji,jj) + zf_rhsu(ji,jj) |
---|
650 | |
---|
651 | END DO |
---|
652 | END DO |
---|
653 | |
---|
654 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zrhsu, 'U', 1., zrhsv, 'V', 1. ) |
---|
655 | |
---|
656 | CALL iom_put( 'zrhsu' , zrhsu ) ! MV DEBUG |
---|
657 | CALL iom_put( 'zrhsv' , zrhsv ) ! MV DEBUG |
---|
658 | |
---|
659 | ! inner domain calculations -> no lbclnk |
---|
660 | |
---|
661 | IF( lwp ) WRITE(numout,*) ' outer loop 4 i_out : ', i_out |
---|
662 | |
---|
663 | !---------------------------------------------------------------------------------------! |
---|
664 | ! |
---|
665 | ! --- Linear system matrix |
---|
666 | ! |
---|
667 | !---------------------------------------------------------------------------------------! |
---|
668 | |
---|
669 | ! Linear system matrix contains all implicit contributions |
---|
670 | ! 1) internal forces, 2) acceleration, 3) ice-ocean drag |
---|
671 | |
---|
672 | ! The linear system equation is written as follows |
---|
673 | ! AU * u_{i-1,j} + BU * u_{i,j} + CU * u_{i+1,j} |
---|
674 | ! = DU * u_{i,j-1} + EU * u_{i,j+1} + RHS (! my convention, not the same as ZH97 ) |
---|
675 | |
---|
676 | ! MV Note 1: martin losch applies boundary condition to BU in mitGCM - check whether it is necessary here ? |
---|
677 | ! MV Note 2: "T" factor calculations can be optimized by putting things out of the loop |
---|
678 | ! only zzt and zet are iteration-dependent, other only depend on scale factors |
---|
679 | |
---|
680 | DO ji = 2, jpi - 1 ! internal domain do loop |
---|
681 | DO jj = 2, jpj - 1 |
---|
682 | |
---|
683 | !------------------------------------- |
---|
684 | ! -- Internal forces LHS contribution |
---|
685 | !------------------------------------- |
---|
686 | ! |
---|
687 | ! --- U-component |
---|
688 | ! |
---|
689 | ! "T" factors (intermediate results) |
---|
690 | ! |
---|
691 | zfac = 0.5_wp * r1_e1e2u(ji,jj) |
---|
692 | zfac1 = zfac * e2u(ji,jj) |
---|
693 | zfac2 = zfac * r1_e2u(ji,jj) |
---|
694 | zfac3 = 2._wp * zfac * r1_e1u(ji,jj) |
---|
695 | |
---|
696 | zt12U = - zfac1 * zzt(ji+1,jj) |
---|
697 | zt11U = zfac1 * zzt(ji,jj) |
---|
698 | |
---|
699 | zt22U = - zfac2 * zet(ji+1,jj) * e2t(ji+1,jj) * e2t(ji+1,jj) * e2t(ji+1,jj) * e2t(ji+1,jj) |
---|
700 | zt21U = zfac2 * zet(ji,jj) * e2t(ji,jj) * e2t(ji,jj) * e2t(ji,jj) * e2t(ji,jj) |
---|
701 | |
---|
702 | zt122U = - zfac3 * zef(ji,jj) * e1f(ji,jj) * e1f(ji,jj) * e1f(ji,jj) * e1f(ji,jj) |
---|
703 | zt121U = zfac3 * zef(ji,jj-1) * e1f(ji,jj-1) * e1f(ji,jj-1) * e1f(ji,jj-1) * e1f(ji,jj-1) |
---|
704 | |
---|
705 | ! |
---|
706 | ! Linear system coefficients |
---|
707 | ! |
---|
708 | zAU(ji,jj) = - zt11U * e2u(ji-1,jj) - zt21U * r1_e2u(ji-1,jj) |
---|
709 | zBU(ji,jj) = ( zt12U + zt11U ) * e2u(ji,jj) + ( zt22U + zt21U ) * r1_e2u(ji,jj) + ( zt122U + zt121U ) * r1_e1u(ji,jj) |
---|
710 | zCU(ji,jj) = - zt12U * e2u(ji+1,jj) - zt22U * r1_e2u(ji+1,jj) |
---|
711 | |
---|
712 | zDU(ji,jj) = zt121U * r1_e1u(ji,jj-1) |
---|
713 | zEU(ji,jj) = zt122U * r1_e1u(ji,jj+1) |
---|
714 | |
---|
715 | ! |
---|
716 | ! --- V-component |
---|
717 | ! |
---|
718 | ! "T" factors (intermediate results) |
---|
719 | ! |
---|
720 | zfac = 0.5_wp * r1_e1e2v(ji,jj) |
---|
721 | zfac1 = zfac * e2v(ji,jj) |
---|
722 | zfac2 = zfac * r1_e1v(ji,jj) |
---|
723 | zfac3 = 2._wp * zfac * r1_e2v(ji,jj) |
---|
724 | |
---|
725 | zt12V = - zfac1 * zzt(ji,jj+1) |
---|
726 | zt11V = zfac1 * zzt(ji,jj) |
---|
727 | |
---|
728 | zt22V = zfac2 * zet(ji,jj+1) * e1t(ji,jj+1) * e1t(ji,jj+1) * e1t(ji,jj+1) * e1t(ji,jj+1) |
---|
729 | zt21V = - zfac2 * zet(ji,jj) * e1t(ji,jj) * e1t(ji,jj) * e1t(ji,jj) * e1t(ji,jj) |
---|
730 | |
---|
731 | zt122V = zfac3 * zef(ji,jj) * e2f(ji,jj) * e2f(ji,jj) * e2f(ji,jj) * e2f(ji,jj) |
---|
732 | zt121V = - zfac3 * zef(ji-1,jj) * e2f(ji-1,jj) * e2f(ji-1,jj) * e2f(ji-1,jj) * e2f(ji-1,jj) |
---|
733 | |
---|
734 | ! |
---|
735 | ! Linear system coefficients |
---|
736 | ! |
---|
737 | zAV(ji,jj) = - zt11V * e1v(ji,jj-1) + zt21V * r1_e1v(ji,jj-1) |
---|
738 | zBV(ji,jj) = ( zt12V + zt11V ) * e1v(ji,jj) - ( zt22V + zt21V ) * r1_e1v(ji,jj) - ( zt122V + zt121V ) * r1_e2v(ji,jj) |
---|
739 | zCV(ji,jj) = - zt12V * e1v(ji,jj+1) + zt22V * r1_e1v(ji,jj+1) |
---|
740 | |
---|
741 | zDV(ji,jj) = - zt121V * r1_e2v(ji-1,jj) ! mistake is in the pdf notes not here |
---|
742 | zEV(ji,jj) = - zt122V * r1_e2v(ji+1,jj) |
---|
743 | |
---|
744 | !----------------------------------------------------- |
---|
745 | ! -- Ocean-ice drag and acceleration LHS contribution |
---|
746 | !----------------------------------------------------- |
---|
747 | zBU(ji,jj) = zBU(ji,jj) + zCwU(ji,jj) + zmassU_t(ji,jj) |
---|
748 | zBV(ji,jj) = ZBV(ji,jj) + zCwV(ji,jj) + zmassV_t(ji,jj) |
---|
749 | |
---|
750 | END DO |
---|
751 | END DO |
---|
752 | |
---|
753 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zAU , 'U', 1., zAV , 'V', 1. ) |
---|
754 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zBU , 'U', 1., zBV , 'V', 1. ) |
---|
755 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zCU , 'U', 1., zCV , 'V', 1. ) |
---|
756 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zDU , 'U', 1., zDV , 'V', 1. ) |
---|
757 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zEU , 'U', 1., zEV , 'V', 1. ) |
---|
758 | |
---|
759 | CALL iom_put( 'zAU' , zAU ) ! MV DEBUG |
---|
760 | CALL iom_put( 'zBU' , zBU ) ! MV DEBUG |
---|
761 | CALL iom_put( 'zCU' , zCU ) ! MV DEBUG |
---|
762 | CALL iom_put( 'zDU' , zDU ) ! MV DEBUG |
---|
763 | CALL iom_put( 'zEU' , zEU ) ! MV DEBUG |
---|
764 | CALL iom_put( 'zAV' , zAV ) ! MV DEBUG |
---|
765 | CALL iom_put( 'zBV' , zBV ) ! MV DEBUG |
---|
766 | CALL iom_put( 'zCV' , zCV ) ! MV DEBUG |
---|
767 | CALL iom_put( 'zDV' , zDV ) ! MV DEBUG |
---|
768 | CALL iom_put( 'zEV' , zEV ) ! MV DEBUG |
---|
769 | |
---|
770 | !------------------------------------------------------------------------------! |
---|
771 | ! |
---|
772 | ! --- Inner loop: solve linear system, check convergence |
---|
773 | ! |
---|
774 | !------------------------------------------------------------------------------! |
---|
775 | |
---|
776 | ! Inner loop solves the linear problem .. requires 1500 iterations |
---|
777 | ll_u_iterate = .TRUE. |
---|
778 | ll_v_iterate = .TRUE. |
---|
779 | |
---|
780 | ! nn_thomas = 2 ! Type of Thomas algorithm for tridiagonal system. 1 = martin, 2 = mitgcm ! ---> not working for now |
---|
781 | nn_thomas = 1 ! Type of Thomas algorithm for tridiagonal system. 1 = martin, 2 = mitgcm ! ---> BUG MPP!!! |
---|
782 | |
---|
783 | DO i_inn = 1, nn_ninn_vp ! inner loop iterations |
---|
784 | |
---|
785 | IF( lwp ) WRITE(numout,*) ' inner loop 1 i_inn : ', i_inn |
---|
786 | |
---|
787 | !--- mitgcm computes initial value of residual here... |
---|
788 | |
---|
789 | jter = jter + 1 |
---|
790 | ! l_full_nf_update = jter == nn_nvp ! false: disable full North fold update (performances) for iter = 1 to nn_nevp-1 |
---|
791 | |
---|
792 | zu_b(:,:) = u_ice(:,:) ! velocity at previous sub-iterate |
---|
793 | zv_b(:,:) = v_ice(:,:) |
---|
794 | |
---|
795 | ! zAU(:,:) = 0._wp; zBU(:,:) = 0._wp; zCU(:,:) = 0._wp; zDU(:,:) = 0._wp; zEU(:,:) = 0._wp |
---|
796 | ! zAV(:,:) = 0._wp; zBV(:,:) = 0._wp; zCV(:,:) = 0._wp; zDV(:,:) = 0._wp; zEV(:,:) = 0._wp |
---|
797 | |
---|
798 | IF ( ll_u_iterate .OR. ll_v_iterate ) THEN |
---|
799 | |
---|
800 | ! ---------------------------- ! |
---|
801 | IF ( ll_u_iterate ) THEN ! --- Solve for u-velocity --- ! |
---|
802 | ! ---------------------------- ! |
---|
803 | |
---|
804 | ! What follows could be subroutinized... |
---|
805 | |
---|
806 | ! Thomas Algorithm for tridiagonal solver |
---|
807 | ! A*u(i-1,j)+B*u(i,j)+C*u(i+1,j) = F |
---|
808 | |
---|
809 | zFU(:,:) = 0._wp ; zFU_prime(:,:) = 0._wp ; zBU_prime(:,:) = 0._wp; zCU_prime(:,:) = 0._wp |
---|
810 | |
---|
811 | DO jn = 1, nn_zebra_vp ! "zebra" loop (! red-black-sor!!! ) |
---|
812 | |
---|
813 | ! OPT: could be even better optimized with a true red-black SOR |
---|
814 | |
---|
815 | IF ( jn == 1 ) THEN ; jj_min = 2 |
---|
816 | ELSE ; jj_min = 3 |
---|
817 | ENDIF |
---|
818 | |
---|
819 | IF ( lwp ) WRITE(numout,*) ' Into the U-zebra loop at step jn = ', jn, ', with jj_min = ', jj_min |
---|
820 | |
---|
821 | DO jj = jj_min, jpj - 1, nn_zebra_vp |
---|
822 | |
---|
823 | !------------------------ |
---|
824 | ! Independent term (zFU) |
---|
825 | !------------------------ |
---|
826 | DO ji = 2, jpi - 1 |
---|
827 | |
---|
828 | ! boundary condition substitution |
---|
829 | ! see Zhang and Hibler, 1997, Appendix B |
---|
830 | zAA3 = 0._wp |
---|
831 | IF ( ji == 2 ) zAA3 = zAA3 - zAU(ji,jj) * u_ice(ji-1,jj) |
---|
832 | IF ( ji == jpi - 1 ) zAA3 = zAA3 - zCU(ji,jj) * u_ice(ji+1,jj) |
---|
833 | |
---|
834 | ! right hand side |
---|
835 | zFU(ji,jj) = ( zrhsu(ji,jj) & ! right-hand side terms |
---|
836 | & + zAA3 & ! boundary condition translation |
---|
837 | & + zDU(ji,jj) * u_ice(ji,jj-1) & ! internal force, j-1 |
---|
838 | & + zEU(ji,jj) * u_ice(ji,jj+1) ) * umask(ji,jj,1) ! internal force, j+1 |
---|
839 | |
---|
840 | END DO |
---|
841 | |
---|
842 | !--------------- |
---|
843 | ! Forward sweep |
---|
844 | !--------------- |
---|
845 | |
---|
846 | IF ( nn_thomas == 1 ) THEN ! MV version seemingly more than mitGCM algorithm |
---|
847 | |
---|
848 | DO ji = 3, jpi - 1 |
---|
849 | |
---|
850 | zfac = SIGN( 1._wp , zBU(ji-1,jj) ) * MAX( 0._wp , SIGN( 1._wp , ABS( zBU(ji-1,jj) ) - epsi20 ) ) |
---|
851 | zw = zfac * zAU(ji,jj) / MAX ( ABS( zBU(ji-1,jj) ) , epsi20 ) |
---|
852 | zBU_prime(ji,jj) = zBU(ji,jj) - zw * zCU(ji-1,jj) |
---|
853 | zFU_prime(ji,jj) = zFU(ji,jj) - zw * zFU(ji-1,jj) |
---|
854 | |
---|
855 | END DO |
---|
856 | |
---|
857 | ELSE ! nn_thomas == 2 ! mitGCM algorithm |
---|
858 | |
---|
859 | ! --- ji = 2 |
---|
860 | zw = zBU(2,jj) |
---|
861 | zfac = SIGN( 1._wp , zw ) * MAX( 0._wp , SIGN( 1._wp , ABS(zw) - epsi20 ) ) |
---|
862 | zw = zfac / MAX ( ABS( zw ) , epsi20 ) |
---|
863 | zCU_prime(2,jj) = zw * zCU(2,jj) |
---|
864 | zFU_prime(2,jj) = zw * zFU(2,jj) |
---|
865 | |
---|
866 | ! --- ji = 3 --> jpi-1 |
---|
867 | DO ji = 3, jpi - 1 |
---|
868 | |
---|
869 | zw = zBU(ji,jj) - zAU(ji,jj) * zCU_prime(ji-1,jj) |
---|
870 | zfac = SIGN( 1._wp , zw ) * MAX( 0._wp , SIGN( 1._wp , ABS(zw) - epsi20 ) ) |
---|
871 | zw = zfac / MAX ( ABS( zw ) , epsi20 ) |
---|
872 | zCU_prime(ji,jj) = zw * zCU(ji,jj) |
---|
873 | zFU_prime(ji,jj) = zw * ( zFU(ji,jj) - zAU(ji,jj) * zFU_prime(ji-1,jj) ) |
---|
874 | |
---|
875 | END DO |
---|
876 | |
---|
877 | ENDIF |
---|
878 | |
---|
879 | !----------------------------- |
---|
880 | ! Backward sweep & relaxation |
---|
881 | !----------------------------- |
---|
882 | |
---|
883 | ! --- Backward sweep |
---|
884 | IF ( nn_thomas == 1 ) THEN ! MV version |
---|
885 | |
---|
886 | ! last row |
---|
887 | zfac = SIGN( 1._wp , zBU_prime(jpi-1,jj) ) * MAX( 0._wp , SIGN( 1._wp , ABS( zBU_prime(jpi-1,jj) ) - epsi20 ) ) |
---|
888 | u_ice(jpi-1,jj) = zfac * zFU_prime(jpi-1,jj) / MAX( ABS ( zBU_prime(jpi-1,jj) ) , epsi20 ) & |
---|
889 | & * umask(jpi-1,jj,1) |
---|
890 | |
---|
891 | DO ji2 = 2 , jpi-2 ! all other rows |
---|
892 | !DO ji = jpi-2 , 2, -1 ! all other rows ! ---> original backward loop |
---|
893 | ji = jpi - ji2 |
---|
894 | ! ji2 = 2 -> ji = jpi - 2 |
---|
895 | ! ji2 = jpi - 2 -> ji = 2 |
---|
896 | zfac = SIGN( 1._wp , zBU_prime(ji,jj) ) * MAX( 0._wp , SIGN( 1._wp , ABS( zBU_prime(ji,jj) ) - epsi20 ) ) |
---|
897 | u_ice(ji,jj) = zfac * ( zFU_prime(ji,jj) - zCU(ji,jj) * u_ice(ji+1,jj) ) * umask(ji,jj,1) & ! this |
---|
898 | ! line is guilty |
---|
899 | & / MAX ( ABS ( zBU_prime(ji,jj) ) , epsi20 ) |
---|
900 | END DO |
---|
901 | |
---|
902 | ELSE ! nn_thomas == 2 ! mitGCM version |
---|
903 | |
---|
904 | u_ice(jpi-1,jj) = zFU_prime(jpi-1,jj) * umask(jpi-1,jj,1) |
---|
905 | |
---|
906 | DO ji2 = 2 , jpi-2 ! all other rows ! MV OPT: could be turned into forward loop (by substituting ji) |
---|
907 | ji = jpi - ji2 |
---|
908 | ! ji2 = 2, ji = jpi - 2 |
---|
909 | ! ji2 = jpi- 2, ji = 2 |
---|
910 | u_ice(ji,jj) = ( zFU_prime(ji,jj) - zCU_prime(ji,jj) * u_ice(ji+1,jj) ) * umask(ji,jj,1) |
---|
911 | END DO |
---|
912 | |
---|
913 | ENDIF |
---|
914 | |
---|
915 | !--- Relaxation |
---|
916 | ! and velocity masking for little-ice and no-ice cases |
---|
917 | DO ji = 2, jpi - 1 |
---|
918 | |
---|
919 | u_ice(ji,jj) = zu_b(ji,jj) + rn_relaxu_vp * ( u_ice(ji,jj) - zu_b(ji,jj) ) ! relaxation |
---|
920 | |
---|
921 | u_ice(ji,jj) = zmsk00x(ji,jj) & ! masking |
---|
922 | & * ( zmsk01x(ji,jj) * u_ice(ji,jj) & |
---|
923 | & + ( 1._wp - zmsk01x(ji,jj) ) * u_oce(ji,jj) * 0.01_wp ) * umask(ji,jj,1) |
---|
924 | |
---|
925 | END DO |
---|
926 | |
---|
927 | END DO ! jj |
---|
928 | |
---|
929 | END DO ! zebra loop |
---|
930 | |
---|
931 | ENDIF ! ll_u_iterate |
---|
932 | |
---|
933 | ! ! ---------------------------- ! |
---|
934 | IF ( ll_v_iterate ) THEN ! --- Solve for V-velocity --- ! |
---|
935 | ! ! ---------------------------- ! |
---|
936 | |
---|
937 | ! MV OPT: what follows could be subroutinized... |
---|
938 | ! Thomas Algorithm for tridiagonal solver |
---|
939 | ! A*v(i,j-1)+B*v(i,j)+C*v(i,j+1) = F |
---|
940 | ! It is intentional to have a ji then jj loop for V-velocity |
---|
941 | !!! ZH97 explain it is critical for convergence speed |
---|
942 | |
---|
943 | zFV(:,:) = 0._wp ; zFV_prime(:,:) = 0._wp ; zBV_prime(:,:) = 0._wp; zCV_prime(:,:) = 0._wp |
---|
944 | |
---|
945 | DO jn = 1, nn_zebra_vp ! "zebra" loop |
---|
946 | |
---|
947 | IF ( jn == 1 ) THEN ; ji_min = 2 |
---|
948 | ELSE ; ji_min = 3 |
---|
949 | ENDIF |
---|
950 | |
---|
951 | IF ( lwp ) WRITE(numout,*) ' Into the V-zebra loop at step jn = ', jn, ', with ji_min = ', ji_min |
---|
952 | |
---|
953 | DO ji = ji_min, jpi - 1, nn_zebra_vp |
---|
954 | |
---|
955 | !------------------------ |
---|
956 | ! Independent term (zFV) |
---|
957 | !------------------------ |
---|
958 | DO jj = 2, jpj - 1 |
---|
959 | |
---|
960 | ! boundary condition substitution (check it is correctly applied !!!) |
---|
961 | ! see Zhang and Hibler, 1997, Appendix B |
---|
962 | zAA3 = 0._wp |
---|
963 | IF ( jj == 2 ) zAA3 = zAA3 - zAV(ji,jj) * v_ice(ji,jj-1) |
---|
964 | IF ( jj == jpj - 1 ) zAA3 = zAA3 - zCV(ji,jj) * v_ice(ji,jj+1) |
---|
965 | |
---|
966 | ! right hand side |
---|
967 | zFV(ji,jj) = ( zrhsv(ji,jj) & ! right-hand side terms |
---|
968 | & + zAA3 & ! boundary condition translation |
---|
969 | & + zDV(ji,jj) * v_ice(ji-1,jj) & ! internal force, j-1 |
---|
970 | & + zEV(ji,jj) * v_ice(ji+1,jj) ) * vmask(ji,jj,1) ! internal force, j+1 |
---|
971 | |
---|
972 | END DO |
---|
973 | |
---|
974 | !--------------- |
---|
975 | ! Forward sweep |
---|
976 | !--------------- |
---|
977 | |
---|
978 | IF ( nn_thomas == 1 ) THEN ! MV version seemingly more than mitGCM algorithm |
---|
979 | |
---|
980 | DO jj = 3, jpj - 1 |
---|
981 | zfac = SIGN( 1._wp , zBV(ji,jj-1) ) * MAX( 0._wp , SIGN( 1._wp , ABS( zBV(ji,jj-1) ) - epsi20 ) ) |
---|
982 | zw = zfac * zAV(ji,jj) / MAX ( ABS( zBV(ji,jj-1) ) , epsi20 ) |
---|
983 | zBV_prime(ji,jj) = zBV(ji,jj) - zw * zCV(ji,jj-1) |
---|
984 | zFV_prime(ji,jj) = zFV(ji,jj) - zw * zFV(ji,jj-1) |
---|
985 | END DO |
---|
986 | |
---|
987 | ELSE ! nn_thomas == 2 ! mitGCM algorithm |
---|
988 | |
---|
989 | ! jj = 2 |
---|
990 | zw = zBV(ji,2) |
---|
991 | zfac = SIGN( 1._wp , zw ) * MAX( 0._wp , SIGN( 1._wp , ABS(zw) - epsi20 ) ) |
---|
992 | zw = zfac / MAX ( ABS( zw ) , epsi20 ) |
---|
993 | zCV_prime(ji,2) = zw * zCV(ji,2) |
---|
994 | zFV_prime(ji,2) = zw * zFV(ji,2) |
---|
995 | |
---|
996 | DO jj = 3, jpj - 1 |
---|
997 | zw = zBV(ji,jj) - zAV(ji,jj) * zCV_prime(ji,jj-1) |
---|
998 | zfac = SIGN( 1._wp , zw ) * MAX( 0._wp , SIGN( 1._wp , ABS(zw) - epsi20 ) ) |
---|
999 | zw = zfac / MAX ( ABS( zw ) , epsi20 ) |
---|
1000 | zCV_prime(ji,jj) = zw * zCV(ji,jj) |
---|
1001 | zFV_prime(ji,jj) = zw * ( zFV(ji,jj) - zAV(ji,jj) * zFV_prime(ji,jj-1) ) |
---|
1002 | END DO |
---|
1003 | |
---|
1004 | ENDIF |
---|
1005 | |
---|
1006 | !----------------------------- |
---|
1007 | ! Backward sweep & relaxation |
---|
1008 | !----------------------------- |
---|
1009 | |
---|
1010 | ! --- Backward sweep |
---|
1011 | IF ( nn_thomas == 1 ) THEN ! nn_thomas = 1 ! --- MV version seemingly more than mitGCM algorithm |
---|
1012 | |
---|
1013 | ! last row |
---|
1014 | zfac = SIGN( 1._wp , zBV_prime(ji,jpj-1) ) * MAX( 0._wp , SIGN( 1._wp , ABS( zBV_prime(ji,jpj-1) ) - epsi20 ) ) |
---|
1015 | v_ice(ji,jpj-1) = zfac * zFV_prime(ji,jpj-1) / MAX ( ABS(zBV_prime(ji,jpj-1) ) , epsi20 ) & |
---|
1016 | & * vmask(ji,jpj-1,1) ! last row |
---|
1017 | |
---|
1018 | ! other rows |
---|
1019 | !DO jj = jpj-2, 2, -1 ! original back loop |
---|
1020 | DO jj2 = 2 , jpj-2 ! modified forward loop |
---|
1021 | jj = jpj - jj2 ! index swap |
---|
1022 | zfac = SIGN( 1._wp , zBV_prime(ji,jj) ) * MAX( 0._wp , SIGN( 1._wp , ABS( zBV_prime(ji,jj) ) - epsi20 ) ) |
---|
1023 | v_ice(ji,jj) = zfac * ( zFV_prime(ji,jj) - zCV(ji,jj) * v_ice(ji,jj+1) ) * vmask(ji,jj,1) & |
---|
1024 | & / MAX ( ABS( zBV_prime(ji,jj) ) , epsi20 ) |
---|
1025 | END DO |
---|
1026 | |
---|
1027 | ELSE ! nn_thomas == 2 ! --- mitGCM algorithm |
---|
1028 | |
---|
1029 | ! last row |
---|
1030 | v_ice(ji,jpj-1) = zFV_prime(ji,jpj-1) * vmask(ji,jpj-1,1) |
---|
1031 | |
---|
1032 | ! other rows |
---|
1033 | DO jj2 = 2 , jpj-2 ! all other rows |
---|
1034 | jj = jpj - jj2 |
---|
1035 | v_ice(ji,jj) = ( zFV_prime(ji,jj) - zCV_prime(ji,jj) * v_ice(ji,jj+1) ) * vmask(ji,jj,1) |
---|
1036 | END DO |
---|
1037 | |
---|
1038 | ENDIF ! nn_thomas |
---|
1039 | |
---|
1040 | ! --- Relaxation & masking (should it be now or later) |
---|
1041 | DO jj = 2, jpj - 1 |
---|
1042 | |
---|
1043 | v_ice(ji,jj) = zv_b(ji,jj) + rn_relaxv_vp * ( v_ice(ji,jj) - zv_b(ji,jj) ) ! relaxation |
---|
1044 | |
---|
1045 | v_ice(ji,jj) = zmsk00y(ji,jj) & ! masking |
---|
1046 | & * ( zmsk01y(ji,jj) * v_ice(ji,jj) & |
---|
1047 | & + ( 1._wp - zmsk01y(ji,jj) ) * v_oce(ji,jj) * 0.01_wp ) * vmask(ji,jj,1) |
---|
1048 | |
---|
1049 | END DO ! jj |
---|
1050 | |
---|
1051 | END DO ! ji |
---|
1052 | |
---|
1053 | END DO ! zebra loop |
---|
1054 | |
---|
1055 | ENDIF ! ll_v_iterate |
---|
1056 | |
---|
1057 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', u_ice, 'U', -1., v_ice, 'V', -1. ) |
---|
1058 | |
---|
1059 | !-------------------------------------------------------------------------------------- |
---|
1060 | ! -- Check convergence based on maximum velocity difference, continue or stop the loop |
---|
1061 | !-------------------------------------------------------------------------------------- |
---|
1062 | |
---|
1063 | !------ |
---|
1064 | ! on U |
---|
1065 | !------ |
---|
1066 | ! MV OPT: if the number of iterations to convergence is really variable, and keep the convergence check |
---|
1067 | ! then we must optimize the use of the mpp_max, which is prohibitive |
---|
1068 | zuerr_max = 0._wp |
---|
1069 | |
---|
1070 | IF ( ll_u_iterate .AND. MOD ( i_inn, nn_cvgchk_vp ) == 0 ) THEN |
---|
1071 | |
---|
1072 | ! - Maximum U-velocity difference |
---|
1073 | zuerr(:,:) = 0._wp |
---|
1074 | DO jj = 2, jpj - 1 |
---|
1075 | DO ji = 2, jpi - 1 |
---|
1076 | zuerr(ji,jj) = ABS ( ( u_ice(ji,jj) - zu_b(ji,jj) ) ) * umask(ji,jj,1) |
---|
1077 | END DO |
---|
1078 | END DO |
---|
1079 | zuerr_max = MAXVAL( zuerr ) |
---|
1080 | CALL mpp_max( 'icedyn_rhg_evp', zuerr_max ) ! max over the global domain - damned! |
---|
1081 | |
---|
1082 | ! - Stop if error is too large ("safeguard against bad forcing" of original Zhang routine) |
---|
1083 | IF ( i_inn > 1 .AND. zuerr_max > rn_uerr_max_vp ) THEN |
---|
1084 | IF ( lwp ) WRITE(numout,*) " VP rheology error was too large : ", zuerr_max, " in outer U-iteration ", i_out, " after ", i_inn, " iterations, we stopped " |
---|
1085 | ll_u_iterate = .FALSE. |
---|
1086 | ENDIF |
---|
1087 | |
---|
1088 | ! - Stop if error small enough |
---|
1089 | IF ( zuerr_max < rn_uerr_min_vp ) THEN |
---|
1090 | IF ( lwp ) WRITE(numout,*) " VP rheology nicely done in outer U-iteration ", i_out, " after ", i_inn, " iterations, finished! " |
---|
1091 | ll_u_iterate = .FALSE. |
---|
1092 | ENDIF |
---|
1093 | |
---|
1094 | ENDIF ! ll_u_iterate |
---|
1095 | |
---|
1096 | !------ |
---|
1097 | ! on V |
---|
1098 | !------ |
---|
1099 | zverr_max = 0._wp |
---|
1100 | |
---|
1101 | IF ( ll_v_iterate .AND. MOD ( i_inn, nn_cvgchk_vp ) == 0 ) THEN |
---|
1102 | |
---|
1103 | ! - Maximum V-velocity difference |
---|
1104 | zverr(:,:) = 0._wp |
---|
1105 | DO jj = 2, jpj - 1 |
---|
1106 | DO ji = 2, jpi - 1 |
---|
1107 | zverr(ji,jj) = ABS ( ( v_ice(ji,jj) - zv_b(ji,jj) ) ) * vmask(ji,jj,1) |
---|
1108 | END DO |
---|
1109 | END DO |
---|
1110 | |
---|
1111 | zverr_max = MAXVAL( zverr ) |
---|
1112 | CALL mpp_max( 'icedyn_rhg_evp', zverr_max ) ! max over the global domain - damned! |
---|
1113 | |
---|
1114 | ! - Stop if error is too large ("safeguard against bad forcing" of original Zhang routine) |
---|
1115 | IF ( i_inn > 1 .AND. zverr_max > rn_uerr_max_vp ) THEN |
---|
1116 | IF ( lwp ) WRITE(numout,*) " VP rheology error was too large : ", zverr_max, " in outer V-iteration ", i_out, " after ", i_inn, " iterations, we stopped " |
---|
1117 | ll_v_iterate = .FALSE. |
---|
1118 | ENDIF |
---|
1119 | |
---|
1120 | ! - Stop if error small enough |
---|
1121 | IF ( zverr_max < rn_uerr_min_vp ) THEN |
---|
1122 | IF ( lwp ) WRITE(numout,*) " VP rheology nicely done in outer V-iteration ", i_out, " after ", i_inn, " iterations, finished! " |
---|
1123 | ll_v_iterate = .FALSE. |
---|
1124 | ENDIF |
---|
1125 | |
---|
1126 | ENDIF ! ll_v_iterate |
---|
1127 | |
---|
1128 | !--------------------------------------------------------------------------------------- |
---|
1129 | ! |
---|
1130 | ! --- Calculate extra convergence diagnostics and save them |
---|
1131 | ! |
---|
1132 | !--------------------------------------------------------------------------------------- |
---|
1133 | IF( ln_rhg_chkcvg .AND. MOD ( i_inn - 1, nn_cvgchk_vp ) == 0 ) CALL rhg_cvg_vp( kt, jter, nn_nvp, u_ice, v_ice, zmt, zuerr_max, zverr_max, zglob_area, & |
---|
1134 | & zrhsu, zAU, zBU, zCU, zDU, zEU, zrhsv, zAV, zBV, zCV, zDV, zEV ) |
---|
1135 | |
---|
1136 | IF ( lwp ) WRITE(numout,*) ' Done convergence tests ' |
---|
1137 | |
---|
1138 | ENDIF ! --- end ll_u_iterate or ll_v_iterate |
---|
1139 | |
---|
1140 | END DO ! i_inn, end of inner loop |
---|
1141 | |
---|
1142 | END DO ! End of outer loop (i_out) ============================================================================================= |
---|
1143 | |
---|
1144 | IF ( lwp ) WRITE(numout,*) ' We are out of outer loop ' |
---|
1145 | |
---|
1146 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zFU , 'U', 1., zFV , 'V', 1. ) |
---|
1147 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zBU_prime , 'U', 1., zBV_prime , 'V', 1. ) |
---|
1148 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zFU_prime , 'U', 1., zFV_prime , 'V', 1. ) |
---|
1149 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zCU_prime , 'U', 1., zCV_prime , 'V', 1. ) |
---|
1150 | |
---|
1151 | CALL iom_put( 'zFU' , zFU ) ! MV DEBUG |
---|
1152 | CALL iom_put( 'zBU_prime' , zBU_prime ) ! MV DEBUG |
---|
1153 | CALL iom_put( 'zCU_prime' , zCU_prime ) ! MV DEBUG |
---|
1154 | CALL iom_put( 'zFU_prime' , zFU_prime ) ! MV DEBUG |
---|
1155 | |
---|
1156 | CALL iom_put( 'zFV' , zFV ) ! MV DEBUG |
---|
1157 | CALL iom_put( 'zBV_prime' , zBV_prime ) ! MV DEBUG |
---|
1158 | CALL iom_put( 'zCV_prime' , zCV_prime ) ! MV DEBUG |
---|
1159 | CALL iom_put( 'zFV_prime' , zFV_prime ) ! MV DEBUG |
---|
1160 | |
---|
1161 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', u_ice, 'U', -1., v_ice, 'V', -1. ) |
---|
1162 | |
---|
1163 | IF ( lwp ) WRITE(numout,*) ' We are about to output uice_dbg ' |
---|
1164 | IF( iom_use('uice_dbg' ) ) CALL iom_put( 'uice_dbg' , u_ice ) ! ice velocity u after solver |
---|
1165 | IF( iom_use('vice_dbg' ) ) CALL iom_put( 'vice_dbg' , v_ice ) ! ice velocity v after solver |
---|
1166 | |
---|
1167 | !------------------------------------------------------------------------------! |
---|
1168 | ! |
---|
1169 | ! --- Convergence diagnostics |
---|
1170 | ! |
---|
1171 | !------------------------------------------------------------------------------! |
---|
1172 | |
---|
1173 | IF( ln_rhg_chkcvg ) THEN |
---|
1174 | |
---|
1175 | IF( iom_use('uice_cvg') ) THEN |
---|
1176 | CALL iom_put( 'uice_cvg', MAX( ABS( u_ice(:,:) - zu_b(:,:) ) * umask(:,:,1) , & ! ice velocity difference at last iteration |
---|
1177 | & ABS( v_ice(:,:) - zv_b(:,:) ) * vmask(:,:,1) ) * zmsk15(:,:) ) |
---|
1178 | ENDIF |
---|
1179 | |
---|
1180 | ENDIF ! ln_rhg_chkcvg |
---|
1181 | |
---|
1182 | ! MV DEBUG test - replace ice velocity by ocean current to give the model the means to go ahead |
---|
1183 | DO jj = 2, jpj - 1 |
---|
1184 | DO ji = 2, jpi - 1 |
---|
1185 | |
---|
1186 | u_ice(ji,jj) = zmsk00x(ji,jj) & |
---|
1187 | & * ( zmsk01x(ji,jj) * u_oce(ji,jj) * 0.01_wp & |
---|
1188 | + ( 1._wp - zmsk01x(ji,jj) ) * u_oce(ji,jj) * 0.01_wp ) |
---|
1189 | |
---|
1190 | v_ice(ji,jj) = zmsk00y(ji,jj) & |
---|
1191 | & * ( zmsk01y(ji,jj) * v_oce(ji,jj) * 0.01_wp & |
---|
1192 | + ( 1._wp - zmsk01y(ji,jj) ) * v_oce(ji,jj) * 0.01_wp ) |
---|
1193 | |
---|
1194 | END DO |
---|
1195 | END DO |
---|
1196 | |
---|
1197 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', u_ice, 'U', -1., v_ice, 'V', -1. ) |
---|
1198 | |
---|
1199 | IF ( lwp ) WRITE(numout,*) ' Velocity replaced ' |
---|
1200 | |
---|
1201 | ! END DEBUG |
---|
1202 | |
---|
1203 | !------------------------------------------------------------------------------! |
---|
1204 | ! |
---|
1205 | ! --- Recompute delta, shear and div (inputs for mechanical redistribution) |
---|
1206 | ! |
---|
1207 | !------------------------------------------------------------------------------! |
---|
1208 | ! |
---|
1209 | ! MV OPT: subroutinize ? |
---|
1210 | |
---|
1211 | DO jj = 1, jpj - 1 |
---|
1212 | DO ji = 1, jpi - 1 |
---|
1213 | |
---|
1214 | ! shear at F points |
---|
1215 | 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) & |
---|
1216 | & + ( v_ice(ji+1,jj) * r1_e2v(ji+1,jj) - v_ice(ji,jj) * r1_e2v(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) & |
---|
1217 | & ) * r1_e1e2f(ji,jj) * zfmask(ji,jj) |
---|
1218 | |
---|
1219 | END DO |
---|
1220 | END DO |
---|
1221 | |
---|
1222 | DO jj = 2, jpj - 1 |
---|
1223 | DO ji = 2, jpi - 1 ! |
---|
1224 | |
---|
1225 | ! tension**2 at T points |
---|
1226 | zdt = ( ( u_ice(ji,jj) * r1_e2u(ji,jj) - u_ice(ji-1,jj) * r1_e2u(ji-1,jj) ) * e2t(ji,jj) * e2t(ji,jj) & |
---|
1227 | & - ( v_ice(ji,jj) * r1_e1v(ji,jj) - v_ice(ji,jj-1) * r1_e1v(ji,jj-1) ) * e1t(ji,jj) * e1t(ji,jj) & |
---|
1228 | & ) * r1_e1e2t(ji,jj) |
---|
1229 | zdt2 = zdt * zdt |
---|
1230 | |
---|
1231 | zten_i(ji,jj) = zdt |
---|
1232 | |
---|
1233 | ! shear**2 at T points (doc eq. A16) |
---|
1234 | zds2 = ( zds(ji,jj ) * zds(ji,jj ) * e1e2f(ji,jj ) + zds(ji-1,jj ) * zds(ji-1,jj ) * e1e2f(ji-1,jj ) & |
---|
1235 | & + zds(ji,jj-1) * zds(ji,jj-1) * e1e2f(ji,jj-1) + zds(ji-1,jj-1) * zds(ji-1,jj-1) * e1e2f(ji-1,jj-1) & |
---|
1236 | & ) * 0.25_wp * r1_e1e2t(ji,jj) |
---|
1237 | |
---|
1238 | ! shear at T points |
---|
1239 | pshear_i(ji,jj) = SQRT( zdt2 + zds2 ) |
---|
1240 | |
---|
1241 | ! divergence at T points |
---|
1242 | pdivu_i(ji,jj) = ( e2u(ji,jj) * u_ice(ji,jj) - e2u(ji-1,jj) * u_ice(ji-1,jj) & |
---|
1243 | & + e1v(ji,jj) * v_ice(ji,jj) - e1v(ji,jj-1) * v_ice(ji,jj-1) & |
---|
1244 | & ) * r1_e1e2t(ji,jj) |
---|
1245 | |
---|
1246 | ! delta at T points |
---|
1247 | zdelta = SQRT( pdivu_i(ji,jj) * pdivu_i(ji,jj) + ( zdt2 + zds2 ) * z1_ecc2 ) |
---|
1248 | rswitch = 1._wp - MAX( 0._wp, SIGN( 1._wp, -zdelta ) ) ! 0 if delta=0 |
---|
1249 | |
---|
1250 | !pdelta_i(ji,jj) = zdelta + rn_creepl * rswitch |
---|
1251 | pdelta_i(ji,jj) = zdelta + rn_creepl |
---|
1252 | |
---|
1253 | END DO |
---|
1254 | END DO |
---|
1255 | |
---|
1256 | IF ( lwp ) WRITE(numout,*) ' Deformation recalculated ' |
---|
1257 | |
---|
1258 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', pshear_i, 'T', 1., pdivu_i, 'T', 1., pdelta_i, 'T', 1. ) |
---|
1259 | |
---|
1260 | !------------------------------------------------------------------------------! |
---|
1261 | ! |
---|
1262 | ! --- Diagnostics |
---|
1263 | ! |
---|
1264 | !------------------------------------------------------------------------------! |
---|
1265 | ! |
---|
1266 | ! MV OPT: subroutinize ? |
---|
1267 | ! |
---|
1268 | !---------------------------------- |
---|
1269 | ! --- Recompute stresses if needed |
---|
1270 | !---------------------------------- |
---|
1271 | ! |
---|
1272 | ! ---- Sea ice stresses at T-points |
---|
1273 | IF ( iom_use('normstr') .OR. iom_use('sheastr') .OR. iom_use('intstrx') .OR. iom_use('intstry') ) THEN |
---|
1274 | |
---|
1275 | DO jj = 2, jpj - 1 |
---|
1276 | DO ji = 2, jpi - 1 |
---|
1277 | zp_deltastar_t(ji,jj) = strength(ji,jj) / pdelta_i(ji,jj) |
---|
1278 | zfac = zp_deltastar_t(ji,jj) |
---|
1279 | zs1(ji,jj) = zfac * ( pdivu_i(ji,jj) - pdelta_i(ji,jj) ) |
---|
1280 | zs2(ji,jj) = zfac * z1_ecc2 * zten_i(ji,jj) |
---|
1281 | zs12(ji,jj) = zfac * z1_ecc2 * pshear_i(ji,jj) |
---|
1282 | END DO |
---|
1283 | END DO |
---|
1284 | |
---|
1285 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zs1, 'T', 1., zs2, 'T', 1., zs12, 'T', 1. ) |
---|
1286 | |
---|
1287 | ENDIF |
---|
1288 | |
---|
1289 | ! ---- s12 at F-points |
---|
1290 | IF ( iom_use('intstrx') .OR. iom_use('intstry') ) THEN |
---|
1291 | |
---|
1292 | DO jj = 1, jpj - 1 |
---|
1293 | DO ji = 1, jpi - 1 |
---|
1294 | |
---|
1295 | ! P/delta* at F points |
---|
1296 | zp_deltastar_f = 0.25_wp * ( zp_deltastar_t(ji,jj) + zp_deltastar_t(ji+1,jj) + zp_deltastar_t(ji,jj+1) + zp_deltastar_t(ji+1,jj+1) ) |
---|
1297 | |
---|
1298 | ! s12 at F-points |
---|
1299 | zs12f(ji,jj) = zp_deltastar_f * z1_ecc2 * zds(ji,jj) |
---|
1300 | |
---|
1301 | END DO |
---|
1302 | END DO |
---|
1303 | |
---|
1304 | CALL lbc_lnk( 'icedyn_rhg_vp', zs12f, 'F', 1. ) |
---|
1305 | |
---|
1306 | ENDIF |
---|
1307 | |
---|
1308 | IF ( lwp ) WRITE(numout,*) ' zs12f recalculated ' |
---|
1309 | |
---|
1310 | ! |
---|
1311 | !----------------------- |
---|
1312 | ! --- Store diagnostics |
---|
1313 | !----------------------- |
---|
1314 | ! |
---|
1315 | ! --- Ice-ocean, ice-atm. & ice-ocean bottom (landfast) stresses --- ! |
---|
1316 | IF( iom_use('utau_oi') .OR. iom_use('vtau_oi') .OR. iom_use('utau_ai') .OR. iom_use('vtau_ai') .OR. & |
---|
1317 | & iom_use('utau_bi') .OR. iom_use('vtau_bi') ) THEN |
---|
1318 | |
---|
1319 | ALLOCATE( ztaux_oi(jpi,jpj) , ztauy_oi(jpi,jpj) ) |
---|
1320 | |
---|
1321 | !--- Recalculate oceanic stress at last inner iteration |
---|
1322 | DO jj = 2, jpj - 1 |
---|
1323 | DO ji = 2, jpi - 1 |
---|
1324 | |
---|
1325 | !--- ice u-velocity @V points, v-velocity @U points (for non-linear drag computation) |
---|
1326 | zu_cV = 0.25_wp * ( u_ice(ji,jj) + u_ice(ji-1,jj) + u_ice(ji,jj+1) + u_ice(ji-1,jj+1) ) * vmask(ji,jj,1) |
---|
1327 | zv_cU = 0.25_wp * ( v_ice(ji,jj) + v_ice(ji,jj-1) + v_ice(ji+1,jj) + v_ice(ji+1,jj-1) ) * umask(ji,jj,1) |
---|
1328 | |
---|
1329 | !--- non-linear drag coefficients (need to be updated at each outer loop, see Lemieux and Tremblay JGR09, p.3, beginning of Section 3) |
---|
1330 | zCwU(ji,jj) = za_iU(ji,jj) * zrhoco * SQRT( ( u_ice(ji,jj) - u_oce (ji,jj) ) * ( u_ice(ji,jj) - u_oce (ji,jj) ) & |
---|
1331 | & + ( zv_cU - v_oceU(ji,jj) ) * ( zv_cU - v_oceU(ji,jj) ) ) |
---|
1332 | zCwV(ji,jj) = za_iV(ji,jj) * zrhoco * SQRT( ( v_ice(ji,jj) - v_oce (ji,jj) ) * ( v_ice(ji,jj) - v_oce (ji,jj) ) & |
---|
1333 | & + ( zu_cV - u_oceV(ji,jj) ) * ( zu_cV - u_oceV(ji,jj) ) ) |
---|
1334 | |
---|
1335 | !--- Ocean-ice stress |
---|
1336 | ztaux_oi(ji,jj) = zCwU(ji,jj) * ( u_oce(ji,jj) - u_ice(ji,jj) ) |
---|
1337 | ztauy_oi(ji,jj) = zCwV(ji,jj) * ( v_oce(ji,jj) - v_ice(ji,jj) ) |
---|
1338 | |
---|
1339 | END DO |
---|
1340 | END DO |
---|
1341 | |
---|
1342 | ! |
---|
1343 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', ztaux_oi, 'U', -1., ztauy_oi, 'V', -1., ztaux_ai, 'U', -1., ztauy_ai, 'V', -1. ) !, & |
---|
1344 | ! & ztaux_bi, 'U', -1., ztauy_bi, 'V', -1. ) |
---|
1345 | ! |
---|
1346 | CALL iom_put( 'utau_oi' , ztaux_oi * zmsk00 ) |
---|
1347 | CALL iom_put( 'vtau_oi' , ztauy_oi * zmsk00 ) |
---|
1348 | CALL iom_put( 'utau_ai' , ztaux_ai * zmsk00 ) |
---|
1349 | CALL iom_put( 'vtau_ai' , ztauy_ai * zmsk00 ) |
---|
1350 | ! CALL iom_put( 'utau_bi' , ztaux_bi * zmsk00 ) |
---|
1351 | ! CALL iom_put( 'vtau_bi' , ztauy_bi * zmsk00 ) |
---|
1352 | |
---|
1353 | DEALLOCATE( ztaux_oi , ztauy_oi ) |
---|
1354 | |
---|
1355 | ENDIF |
---|
1356 | |
---|
1357 | ! --- Divergence, shear and strength --- ! |
---|
1358 | IF( iom_use('icediv') ) CALL iom_put( 'icediv' , pdivu_i * zmsk00 ) ! divergence |
---|
1359 | IF( iom_use('iceshe') ) CALL iom_put( 'iceshe' , pshear_i * zmsk00 ) ! shear |
---|
1360 | IF( iom_use('icedlt') ) CALL iom_put( 'icedlt' , pdelta_i * zmsk00 ) ! delta |
---|
1361 | IF( iom_use('icestr') ) CALL iom_put( 'icestr' , strength * zmsk00 ) ! strength |
---|
1362 | |
---|
1363 | IF ( lwp ) WRITE(numout,*) 'Some terms recalculated ' |
---|
1364 | |
---|
1365 | ! --- Stress tensor invariants (SIMIP diags) --- ! |
---|
1366 | IF( iom_use('normstr') .OR. iom_use('sheastr') ) THEN |
---|
1367 | ! |
---|
1368 | ! Stress tensor invariants (normal and shear stress N/m) - SIMIP diags. |
---|
1369 | ! Definitions following Coon (1974) and Feltham (2008) |
---|
1370 | ! |
---|
1371 | ! sigma1, sigma2, sigma12 are useful (Hunke and Dukowicz MWR 2002, Bouillon et al., OM2013) |
---|
1372 | ! however these are NOT stress tensor components, neither stress invariants, nor stress principal components |
---|
1373 | ! |
---|
1374 | ALLOCATE( zsig_I(jpi,jpj) , zsig_II(jpi,jpj) ) |
---|
1375 | ! |
---|
1376 | DO jj = 2, jpj - 1 |
---|
1377 | DO ji = 2, jpi - 1 |
---|
1378 | ! Stress invariants |
---|
1379 | zsig_I(ji,jj) = zs1(ji,jj) * 0.5_wp ! 1st invariant, aka average normal stress aka negative pressure |
---|
1380 | zsig_II(ji,jj) = SQRT ( zs2(ji,jj) * zs2(ji,jj) * 0.25_wp + zs12(ji,jj) ) ! 2nd invariant, aka maximum shear stress |
---|
1381 | END DO |
---|
1382 | END DO |
---|
1383 | |
---|
1384 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zsig_I, 'T', 1., zsig_II, 'T', 1.) |
---|
1385 | |
---|
1386 | IF( iom_use('normstr') ) CALL iom_put( 'normstr' , zsig_I(:,:) * zmsk00(:,:) ) ! Normal stress |
---|
1387 | IF( iom_use('sheastr') ) CALL iom_put( 'sheastr' , zsig_II(:,:) * zmsk00(:,:) ) ! Maximum shear stress |
---|
1388 | |
---|
1389 | DEALLOCATE ( zsig_I, zsig_II ) |
---|
1390 | |
---|
1391 | ENDIF |
---|
1392 | |
---|
1393 | IF ( lwp ) WRITE(numout,*) 'SIMIP work done' |
---|
1394 | |
---|
1395 | ! --- Normalized stress tensor principal components --- ! |
---|
1396 | ! These are used to plot the normalized yield curve (Lemieux & Dupont, GMD 2020) |
---|
1397 | ! To plot the yield curve and evaluate physical convergence, they have two recommendations |
---|
1398 | ! Recommendation 1 : Use ice strength, not replacement pressure |
---|
1399 | ! Recommendation 2 : Need to use deformations at PREVIOUS iterate for viscosities (see p. 1765) |
---|
1400 | ! R2 means we need to recompute stresses |
---|
1401 | |
---|
1402 | IF( iom_use('sig1_pnorm') .OR. iom_use('sig2_pnorm') ) THEN |
---|
1403 | ! |
---|
1404 | ALLOCATE( zsig1_p(jpi,jpj) , zsig2_p(jpi,jpj) , zsig_I(jpi,jpj) , zsig_II(jpi,jpj) ) |
---|
1405 | ! |
---|
1406 | DO jj = 2, jpj - 1 |
---|
1407 | DO ji = 2, jpi - 1 |
---|
1408 | ! Ice stresses computed with **viscosities** (delta, p/delta) at **previous** iterates |
---|
1409 | ! and **deformations** at current iterates |
---|
1410 | ! following Lemieux & Dupont (2020) |
---|
1411 | zfac = zp_deltastar_t(ji,jj) |
---|
1412 | zsig1 = zfac * ( pdivu_i(ji,jj) - zdeltastar_t(ji,jj) ) |
---|
1413 | zsig1 = 0._wp !!! FUCKING DEBUG TEST !!! |
---|
1414 | zsig2 = zfac * z1_ecc2 * zten_i(ji,jj) |
---|
1415 | zsig12 = zfac * z1_ecc2 * pshear_i(ji,jj) |
---|
1416 | |
---|
1417 | ! Stress invariants (sigma_I, sigma_II, Coon 1974, Feltham 2008), T-point |
---|
1418 | zsig_I(ji,jj) = zsig1 * 0.5_wp ! 1st invariant |
---|
1419 | zsig_II(ji,jj) = SQRT ( zsig2 * zsig2 * 0.25_wp + zsig12 ) ! 2nd invariant |
---|
1420 | |
---|
1421 | ! Normalized principal stresses (used to display the ellipse) |
---|
1422 | z1_strength = 1._wp / MAX ( 1._wp , strength(ji,jj) ) |
---|
1423 | zsig1_p(ji,jj) = ( zsig_I(ji,jj) + zsig_II(ji,jj) ) * z1_strength |
---|
1424 | zsig2_p(ji,jj) = ( zsig_I(ji,jj) - zsig_II(ji,jj) ) * z1_strength |
---|
1425 | END DO |
---|
1426 | END DO |
---|
1427 | IF ( lwp ) WRITE(numout,*) 'Some shitty stress work done' |
---|
1428 | ! |
---|
1429 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zsig1_p, 'T', 1., zsig2_p, 'T', 1.) |
---|
1430 | ! |
---|
1431 | IF ( lwp ) WRITE(numout,*) ' Beauaaaarflblbllll ' |
---|
1432 | ! |
---|
1433 | CALL iom_put( 'sig1_pnorm' , zsig1_p ) |
---|
1434 | CALL iom_put( 'sig2_pnorm' , zsig2_p ) |
---|
1435 | |
---|
1436 | DEALLOCATE( zsig1_p , zsig2_p , zsig_I , zsig_II ) |
---|
1437 | |
---|
1438 | IF ( lwp ) WRITE(numout,*) ' So what ??? ' |
---|
1439 | |
---|
1440 | ENDIF |
---|
1441 | |
---|
1442 | ! --- SIMIP, terms of tendency for momentum equation --- ! |
---|
1443 | IF( iom_use('dssh_dx') .OR. iom_use('dssh_dy') .OR. & |
---|
1444 | & iom_use('corstrx') .OR. iom_use('corstry') ) THEN |
---|
1445 | |
---|
1446 | ! --- Recalculate Coriolis stress at last inner iteration |
---|
1447 | DO jj = 2, jpj - 1 |
---|
1448 | DO ji = 2, jpi - 1 |
---|
1449 | ! --- U-component |
---|
1450 | zCorU(ji,jj) = 0.25_wp * r1_e1u(ji,jj) * & |
---|
1451 | & ( zmf(ji ,jj) * ( e1v(ji ,jj) * v_ice(ji ,jj) + e1v(ji ,jj-1) * v_ice(ji ,jj-1) ) & |
---|
1452 | & + zmf(ji+1,jj) * ( e1v(ji+1,jj) * v_ice(ji+1,jj) + e1v(ji+1,jj-1) * v_ice(ji+1,jj-1) ) ) |
---|
1453 | zCorV(ji,jj) = - 0.25_wp * r1_e2v(ji,jj) * & |
---|
1454 | & ( zmf(ji,jj ) * ( e2u(ji,jj ) * u_ice(ji,jj ) + e2u(ji-1,jj ) * u_ice(ji-1,jj ) ) & |
---|
1455 | & + zmf(ji,jj+1) * ( e2u(ji,jj+1) * u_ice(ji,jj+1) + e2u(ji-1,jj+1) * u_ice(ji-1,jj+1) ) ) |
---|
1456 | END DO |
---|
1457 | END DO |
---|
1458 | ! |
---|
1459 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zspgU, 'U', -1., zspgV, 'V', -1., & |
---|
1460 | & zCorU, 'U', -1., zCorV, 'V', -1. ) |
---|
1461 | ! |
---|
1462 | CALL iom_put( 'dssh_dx' , zspgU * zmsk00 ) ! Sea-surface tilt term in force balance (x) |
---|
1463 | CALL iom_put( 'dssh_dy' , zspgV * zmsk00 ) ! Sea-surface tilt term in force balance (y) |
---|
1464 | CALL iom_put( 'corstrx' , zCorU * zmsk00 ) ! Coriolis force term in force balance (x) |
---|
1465 | CALL iom_put( 'corstry' , zCorV * zmsk00 ) ! Coriolis force term in force balance (y) |
---|
1466 | |
---|
1467 | ENDIF |
---|
1468 | |
---|
1469 | IF ( iom_use('intstrx') .OR. iom_use('intstry') ) THEN |
---|
1470 | |
---|
1471 | ! Recalculate internal forces (divergence of stress tensor) at last inner iteration |
---|
1472 | DO jj = 2, jpj - 1 |
---|
1473 | DO ji = 2, jpi - 1 |
---|
1474 | zfU(ji,jj) = 0.5_wp * ( ( zs1(ji+1,jj) - zs1(ji,jj) ) * e2u(ji,jj) & |
---|
1475 | & + ( zs2(ji+1,jj) * e2t(ji+1,jj) * e2t(ji+1,jj) - zs2(ji,jj) * e2t(ji,jj) * e2t(ji,jj) & |
---|
1476 | & ) * r1_e2u(ji,jj) & |
---|
1477 | & + ( zs12f(ji,jj) * e1f(ji,jj) * e1f(ji,jj) - zs12f(ji,jj-1) * e1f(ji,jj-1) * e1f(ji,jj-1) & |
---|
1478 | & ) * 2._wp * r1_e1u(ji,jj) & |
---|
1479 | & ) * r1_e1e2u(ji,jj) |
---|
1480 | zfV(ji,jj) = 0.5_wp * ( ( zs1(ji,jj+1) - zs1(ji,jj) ) * e1v(ji,jj) & |
---|
1481 | & - ( zs2(ji,jj+1) * e1t(ji,jj+1) * e1t(ji,jj+1) - zs2(ji,jj) * e1t(ji,jj) * e1t(ji,jj) & |
---|
1482 | & ) * r1_e1v(ji,jj) & |
---|
1483 | & + ( zs12f(ji,jj) * e2f(ji,jj) * e2f(ji,jj) - zs12f(ji-1,jj) * e2f(ji-1,jj) * e2f(ji-1,jj) & |
---|
1484 | & ) * 2._wp * r1_e2v(ji,jj) & |
---|
1485 | & ) * r1_e1e2v(ji,jj) |
---|
1486 | END DO |
---|
1487 | END DO |
---|
1488 | |
---|
1489 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zfU, 'U', -1., zfV, 'V', -1. ) |
---|
1490 | |
---|
1491 | CALL iom_put( 'intstrx' , zfU * zmsk00 ) ! Internal force term in force balance (x) |
---|
1492 | CALL iom_put( 'intstry' , zfV * zmsk00 ) ! Internal force term in force balance (y) |
---|
1493 | |
---|
1494 | ENDIF |
---|
1495 | |
---|
1496 | ! --- Ice & snow mass and ice area transports |
---|
1497 | IF( iom_use('xmtrpice') .OR. iom_use('ymtrpice') .OR. & |
---|
1498 | & iom_use('xmtrpsnw') .OR. iom_use('ymtrpsnw') .OR. iom_use('xatrp') .OR. iom_use('yatrp') ) THEN |
---|
1499 | ! |
---|
1500 | ALLOCATE( zdiag_xmtrp_ice(jpi,jpj) , zdiag_ymtrp_ice(jpi,jpj) , & |
---|
1501 | & zdiag_xmtrp_snw(jpi,jpj) , zdiag_ymtrp_snw(jpi,jpj) , zdiag_xatrp(jpi,jpj) , zdiag_yatrp(jpi,jpj) ) |
---|
1502 | ! |
---|
1503 | DO jj = 2, jpj - 1 |
---|
1504 | DO ji = 2, jpi - 1 |
---|
1505 | ! 2D ice mass, snow mass, area transport arrays (X, Y) |
---|
1506 | zfac_x = 0.5 * u_ice(ji,jj) * e2u(ji,jj) * zmsk00(ji,jj) |
---|
1507 | zfac_y = 0.5 * v_ice(ji,jj) * e1v(ji,jj) * zmsk00(ji,jj) |
---|
1508 | |
---|
1509 | zdiag_xmtrp_ice(ji,jj) = rhoi * zfac_x * ( vt_i(ji+1,jj) + vt_i(ji,jj) ) ! ice mass transport, X-component |
---|
1510 | zdiag_ymtrp_ice(ji,jj) = rhoi * zfac_y * ( vt_i(ji,jj+1) + vt_i(ji,jj) ) ! '' Y- '' |
---|
1511 | |
---|
1512 | zdiag_xmtrp_snw(ji,jj) = rhos * zfac_x * ( vt_s(ji+1,jj) + vt_s(ji,jj) ) ! snow mass transport, X-component |
---|
1513 | zdiag_ymtrp_snw(ji,jj) = rhos * zfac_y * ( vt_s(ji,jj+1) + vt_s(ji,jj) ) ! '' Y- '' |
---|
1514 | |
---|
1515 | zdiag_xatrp(ji,jj) = zfac_x * ( at_i(ji+1,jj) + at_i(ji,jj) ) ! area transport, X-component |
---|
1516 | zdiag_yatrp(ji,jj) = zfac_y * ( at_i(ji,jj+1) + at_i(ji,jj) ) ! '' Y- '' |
---|
1517 | |
---|
1518 | END DO |
---|
1519 | END DO |
---|
1520 | |
---|
1521 | CALL lbc_lnk_multi( 'icedyn_rhg_vp', zdiag_xmtrp_ice, 'U', -1., zdiag_ymtrp_ice, 'V', -1., & |
---|
1522 | & zdiag_xmtrp_snw, 'U', -1., zdiag_ymtrp_snw, 'V', -1., & |
---|
1523 | & zdiag_xatrp , 'U', -1., zdiag_yatrp , 'V', -1. ) |
---|
1524 | |
---|
1525 | CALL iom_put( 'xmtrpice' , zdiag_xmtrp_ice ) ! X-component of sea-ice mass transport (kg/s) |
---|
1526 | CALL iom_put( 'ymtrpice' , zdiag_ymtrp_ice ) ! Y-component of sea-ice mass transport |
---|
1527 | CALL iom_put( 'xmtrpsnw' , zdiag_xmtrp_snw ) ! X-component of snow mass transport (kg/s) |
---|
1528 | CALL iom_put( 'ymtrpsnw' , zdiag_ymtrp_snw ) ! Y-component of snow mass transport |
---|
1529 | CALL iom_put( 'xatrp' , zdiag_xatrp ) ! X-component of ice area transport |
---|
1530 | CALL iom_put( 'yatrp' , zdiag_yatrp ) ! Y-component of ice area transport |
---|
1531 | |
---|
1532 | DEALLOCATE( zdiag_xmtrp_ice , zdiag_ymtrp_ice , & |
---|
1533 | & zdiag_xmtrp_snw , zdiag_ymtrp_snw , zdiag_xatrp , zdiag_yatrp ) |
---|
1534 | |
---|
1535 | ENDIF |
---|
1536 | |
---|
1537 | DEALLOCATE( zmsk00, zmsk15 ) |
---|
1538 | |
---|
1539 | END SUBROUTINE ice_dyn_rhg_vp |
---|
1540 | |
---|
1541 | |
---|
1542 | |
---|
1543 | SUBROUTINE rhg_cvg_vp( kt, kiter, kitermax, pu, pv, pmt, puerr_max, pverr_max, pglob_area, & |
---|
1544 | & prhsu, pAU, pBU, pCU, pDU, pEU, prhsv, pAV, pBV, pCV, pDV, pEV ) |
---|
1545 | |
---|
1546 | !!---------------------------------------------------------------------- |
---|
1547 | !! *** ROUTINE rhg_cvg_vp *** |
---|
1548 | !! |
---|
1549 | !! ** Purpose : check convergence of VP ice rheology |
---|
1550 | !! |
---|
1551 | !! ** Method : create a file ice_cvg.nc containing a few convergence diagnostics |
---|
1552 | !! This routine is called every sub-iteration, so it is cpu expensive |
---|
1553 | !! |
---|
1554 | !! Calculates / stores |
---|
1555 | !! - maximum absolute U-V difference (uice_cvg, u_dif, v_dif, m/s) |
---|
1556 | !! - residuals in U, V and UV-mean taken as square-root of area-weighted mean square residual (u_res, v_res, vel_res, N/m2) |
---|
1557 | !! - mean kinetic energy (mke_ice, J/m2) |
---|
1558 | !! |
---|
1559 | !! ** Note : for the first sub-iteration, uice_cvg is set to 0 (too large otherwise) |
---|
1560 | !!---------------------------------------------------------------------- |
---|
1561 | INTEGER , INTENT(in) :: kt, kiter, kitermax ! ocean time-step index |
---|
1562 | REAL(wp), DIMENSION(:,:), INTENT(in) :: pu, pv, pmt ! now velocity and mass per unit area |
---|
1563 | REAL(wp), INTENT(in) :: puerr_max, pverr_max ! absolute mean velocity difference |
---|
1564 | REAL(wp), INTENT(in) :: pglob_area ! global ice area |
---|
1565 | REAL(wp), DIMENSION(:,:), INTENT(in) :: prhsu, pAU, pBU, pCU, pDU, pEU ! linear system coefficients |
---|
1566 | REAL(wp), DIMENSION(:,:), INTENT(in) :: prhsv, pAV, pBV, pCV, pDV, pEV |
---|
1567 | !! |
---|
1568 | INTEGER :: it, idtime, istatus, ix_dim, iy_dim |
---|
1569 | INTEGER :: ji, jj ! dummy loop indices |
---|
1570 | REAL(wp) :: zveldif, zu_res_mean, zv_res_mean, zvelres, zmke, zu, zv ! local scalars |
---|
1571 | REAL(wp) :: z1_pglob_area |
---|
1572 | REAL(wp), DIMENSION(jpi,jpj) :: zu_res, zv_res, zvel2 ! local arrays |
---|
1573 | |
---|
1574 | CHARACTER(len=20) :: clname |
---|
1575 | !!---------------------------------------------------------------------- |
---|
1576 | |
---|
1577 | IF( lwp ) THEN |
---|
1578 | WRITE(numout,*) |
---|
1579 | WRITE(numout,*) 'rhg_cvg_vp : ice rheology convergence control' |
---|
1580 | WRITE(numout,*) '~~~~~~~~~~~' |
---|
1581 | WRITE(numout,*) ' kiter = : ', kiter |
---|
1582 | WRITE(numout,*) ' kitermax = : ', kitermax |
---|
1583 | ENDIF |
---|
1584 | |
---|
1585 | ! create file |
---|
1586 | IF( kt == nit000 .AND. kiter == 1 ) THEN |
---|
1587 | ! |
---|
1588 | IF( lwm ) THEN |
---|
1589 | |
---|
1590 | clname = 'ice_cvg.nc' |
---|
1591 | IF( .NOT. Agrif_Root() ) clname = TRIM(Agrif_CFixed())//"_"//TRIM(clname) |
---|
1592 | istatus = NF90_CREATE( TRIM(clname), NF90_CLOBBER, ncvgid ) |
---|
1593 | |
---|
1594 | istatus = NF90_DEF_DIM( ncvgid, 'time' , NF90_UNLIMITED, idtime ) |
---|
1595 | istatus = NF90_DEF_DIM( ncvgid, 'x' , jpi, ix_dim ) |
---|
1596 | istatus = NF90_DEF_DIM( ncvgid, 'y' , jpj, iy_dim ) |
---|
1597 | |
---|
1598 | istatus = NF90_DEF_VAR( ncvgid, 'uice_cvg', NF90_DOUBLE , (/ idtime /), nvarid_ucvg ) ! the name uice_cvg sucks, no ? |
---|
1599 | ! i suggest vel_dif instead |
---|
1600 | istatus = NF90_DEF_VAR( ncvgid, 'u_res', NF90_DOUBLE , (/ idtime /), nvarid_ures ) |
---|
1601 | istatus = NF90_DEF_VAR( ncvgid, 'v_res', NF90_DOUBLE , (/ idtime /), nvarid_vres ) |
---|
1602 | istatus = NF90_DEF_VAR( ncvgid, 'vel_res', NF90_DOUBLE , (/ idtime /), nvarid_velres ) |
---|
1603 | istatus = NF90_DEF_VAR( ncvgid, 'u_dif', NF90_DOUBLE , (/ idtime /), nvarid_udif ) |
---|
1604 | istatus = NF90_DEF_VAR( ncvgid, 'v_dif', NF90_DOUBLE , (/ idtime /), nvarid_vdif ) |
---|
1605 | istatus = NF90_DEF_VAR( ncvgid, 'mke_ice', NF90_DOUBLE , (/ idtime /), nvarid_mke ) |
---|
1606 | |
---|
1607 | istatus = NF90_DEF_VAR( ncvgid, 'usub' , NF90_DOUBLE, (/ ix_dim, iy_dim, idtime /), nvarid_usub) ! --> u-velocity in sub-iterations |
---|
1608 | istatus = NF90_DEF_VAR( ncvgid, 'vsub' , NF90_DOUBLE, (/ ix_dim, iy_dim, idtime /), nvarid_vsub) ! --> v-velocity in sub-iterations |
---|
1609 | |
---|
1610 | istatus = NF90_ENDDEF(ncvgid) |
---|
1611 | |
---|
1612 | ENDIF |
---|
1613 | ! |
---|
1614 | ENDIF |
---|
1615 | |
---|
1616 | IF ( lwp ) WRITE(numout,*) ' File created ' |
---|
1617 | |
---|
1618 | ! --- Max absolute velocity difference with previous iterate (zveldif) |
---|
1619 | zveldif = MAX( puerr_max, pverr_max ) ! velocity difference with previous iterate, should nearly be equivalent to evp code |
---|
1620 | ! if puerrmask and pverrmax are masked at 15% (TEST) |
---|
1621 | |
---|
1622 | IF ( lwp ) WRITE(numout,*) ' zfeldif : ', zveldif |
---|
1623 | |
---|
1624 | ! --- Mean residual and kinetic energy |
---|
1625 | IF ( kiter == 1 ) THEN |
---|
1626 | |
---|
1627 | zu_res_mean = 0._wp |
---|
1628 | zv_res_mean = 0._wp |
---|
1629 | zvelres = 0._wp |
---|
1630 | zmke = 0._wp |
---|
1631 | |
---|
1632 | ELSE |
---|
1633 | |
---|
1634 | ! -- Mean residual (N/m^2), zu_res_mean |
---|
1635 | ! Here we take the residual of the linear system (N/m^2), |
---|
1636 | ! We define it as in mitgcm: square-root of area-weighted mean square residual |
---|
1637 | ! Local residual r = Ax - B expresses to which extent the momentum balance is verified |
---|
1638 | ! i.e., how close we are to a solution |
---|
1639 | |
---|
1640 | IF ( lwp ) WRITE(numout,*) ' TEST 1 ' |
---|
1641 | |
---|
1642 | z1_pglob_area = 1._wp / pglob_area |
---|
1643 | |
---|
1644 | DO jj = 2, jpj - 1 |
---|
1645 | DO ji = 2, jpi - 1 |
---|
1646 | zu_res(ji,jj) = ( prhsu(ji,jj) + pDU(ji,jj) * pu(ji,jj-1) + pEU(ji,jj) * pu(ji,jj+1) & |
---|
1647 | & - pAU(ji,jj) * pu(ji-1,jj) - pBU(ji,jj) * pu(ji,jj) - pCU(ji,jj) * pu(ji+1,jj) ) |
---|
1648 | |
---|
1649 | zv_res(ji,jj) = ( prhsv(ji,jj) + pDV(ji,jj) * pv(ji-1,jj) + pEV(ji,jj) * pv(ji+1,jj) & |
---|
1650 | & - pAV(ji,jj) * pv(ji,jj-1) - pBV(ji,jj) * pv(ji,jj) - pCV(ji,jj) * pv(ji,jj+1) ) |
---|
1651 | |
---|
1652 | zu_res(ji,jj) = SQRT( zu_res(ji,jj) * zu_res(ji,jj) ) * umask(ji,jj,1) * e1e2u(ji,jj) * z1_pglob_area |
---|
1653 | zv_res(ji,jj) = SQRT( zv_res(ji,jj) * zv_res(ji,jj) ) * vmask(ji,jj,1) * e1e2v(ji,jj) * z1_pglob_area |
---|
1654 | |
---|
1655 | END DO |
---|
1656 | END DO |
---|
1657 | |
---|
1658 | IF ( lwp ) WRITE(numout,*) ' TEST 2 ' |
---|
1659 | zu_res_mean = glob_sum( 'ice_rhg_vp', zu_res(:,:) ) |
---|
1660 | zv_res_mean = glob_sum( 'ice_rhg_vp', zv_res(:,:) ) |
---|
1661 | IF ( lwp ) WRITE(numout,*) ' TEST 3 ' |
---|
1662 | zvelres = 0.5_wp * ( zu_res_mean + zv_res_mean ) |
---|
1663 | |
---|
1664 | IF ( lwp ) WRITE(numout,*) ' TEST 4 ' |
---|
1665 | |
---|
1666 | ! -- Global mean kinetic energy per unit area (J/m2) |
---|
1667 | DO jj = 2, jpj - 1 |
---|
1668 | DO ji = 2, jpi - 1 |
---|
1669 | zu = 0.5_wp * ( pu(ji-1,jj) + pu(ji,jj) ) ! u-vel at T-point |
---|
1670 | zv = 0.5_wp * ( pv(ji,jj-1) + pv(ji,jj) ) |
---|
1671 | zvel2(:,:) = zu*zu + zv*zv ! square of ice velocity at T-point |
---|
1672 | END DO |
---|
1673 | END DO |
---|
1674 | |
---|
1675 | IF ( lwp ) WRITE(numout,*) ' TEST 5 ' |
---|
1676 | zmke = 0.5_wp * glob_sum( 'ice_rhg_vp', pmt(:,:) * e1e2t(:,:) * zvel2(:,:) ) / pglob_area |
---|
1677 | IF ( lwp ) WRITE(numout,*) ' TEST 6 ' |
---|
1678 | |
---|
1679 | ENDIF |
---|
1680 | |
---|
1681 | ! ! ==================== ! |
---|
1682 | |
---|
1683 | ! time |
---|
1684 | it = ( kt - 1 ) * kitermax + kiter |
---|
1685 | |
---|
1686 | |
---|
1687 | IF( lwm ) THEN |
---|
1688 | ! write variables |
---|
1689 | istatus = NF90_PUT_VAR( ncvgid, nvarid_ucvg, (/zveldif/), (/it/), (/1/) ) ! max U or V velocity diff between subiterations |
---|
1690 | istatus = NF90_PUT_VAR( ncvgid, nvarid_ures, (/zu_res_mean/), (/it/), (/1/) ) ! U-residual of the linear system |
---|
1691 | istatus = NF90_PUT_VAR( ncvgid, nvarid_vres, (/zv_res_mean/), (/it/), (/1/) ) ! V-residual of the linear system |
---|
1692 | istatus = NF90_PUT_VAR( ncvgid, nvarid_velres, (/zvelres/), (/it/), (/1/) ) ! average of u- and v- residuals |
---|
1693 | istatus = NF90_PUT_VAR( ncvgid, nvarid_udif, (/puerr_max/), (/it/), (/1/) ) ! max U velocity difference, inner iterations |
---|
1694 | istatus = NF90_PUT_VAR( ncvgid, nvarid_vdif, (/pverr_max/), (/it/), (/1/) ) ! max V velocity difference, inner iterations |
---|
1695 | istatus = NF90_PUT_VAR( ncvgid, nvarid_mke, (/zmke/), (/it/), (/1/) ) ! mean kinetic energy |
---|
1696 | |
---|
1697 | istatus = NF90_PUT_VAR( ncvgid, nvarid_usub, (/pu/), (/it/) ) ! u-velocity |
---|
1698 | istatus = NF90_PUT_VAR( ncvgid, nvarid_vsub, (/pv/), (/it/) ) ! v-velocity |
---|
1699 | |
---|
1700 | ! close file |
---|
1701 | IF( kt == nitend ) istatus = NF90_CLOSE( ncvgid ) |
---|
1702 | ENDIF |
---|
1703 | |
---|
1704 | END SUBROUTINE rhg_cvg_vp |
---|
1705 | |
---|
1706 | |
---|
1707 | |
---|
1708 | #else |
---|
1709 | !!---------------------------------------------------------------------- |
---|
1710 | !! Default option Empty module NO SI3 sea-ice model |
---|
1711 | !!---------------------------------------------------------------------- |
---|
1712 | #endif |
---|
1713 | |
---|
1714 | !!============================================================================== |
---|
1715 | END MODULE icedyn_rhg_vp |
---|
1716 | |
---|