1 | MODULE limtrp_2 |
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2 | !!====================================================================== |
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3 | !! *** MODULE limtrp_2 *** |
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4 | !! LIM 2.0 transport ice model : sea-ice advection/diffusion |
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5 | !!====================================================================== |
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6 | !! History : LIM ! 2000-01 (LIM) Original code |
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7 | !! 1.0 ! 2001-05 (G. Madec, R. Hordoir) opa norm |
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8 | !! 2.0 ! 2004-01 (G. Madec, C. Ethe) F90, mpp |
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9 | !!---------------------------------------------------------------------- |
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10 | #if defined key_lim2 |
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11 | !!---------------------------------------------------------------------- |
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12 | !! 'key_lim2' : LIM 2.0 sea-ice model |
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13 | !!---------------------------------------------------------------------- |
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14 | !! lim_trp_2 : advection/diffusion process of sea ice |
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15 | !! lim_trp_init_2 : initialization and namelist read |
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16 | !!---------------------------------------------------------------------- |
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17 | USE phycst |
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18 | USE dom_oce |
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19 | USE in_out_manager ! I/O manager |
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20 | USE dom_ice_2 |
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21 | USE ice_2 |
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22 | USE limistate_2 |
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23 | USE limadv_2 |
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24 | USE limhdf_2 |
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25 | USE lbclnk |
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26 | USE lib_mpp |
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27 | |
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28 | IMPLICIT NONE |
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29 | PRIVATE |
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30 | |
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31 | PUBLIC lim_trp_2 ! called by sbc_ice_lim_2 |
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32 | |
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33 | REAL(wp), PUBLIC :: bound = 0.e0 !: boundary condit. (0.0 no-slip, 1.0 free-slip) |
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34 | |
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35 | REAL(wp) :: epsi06 = 1.e-06 ! constant values |
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36 | REAL(wp) :: epsi03 = 1.e-03 ! |
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37 | REAL(wp) :: epsi16 = 1.e-16 ! |
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38 | REAL(wp) :: rzero = 0.e0 ! |
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39 | REAL(wp) :: rone = 1.e0 ! |
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40 | |
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41 | !! * Substitution |
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42 | # include "vectopt_loop_substitute.h90" |
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43 | !!---------------------------------------------------------------------- |
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44 | !! NEMO/LIM 3.3, UCL-LOCEAN-IPSL (2010) |
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45 | !! $Id$ |
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46 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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47 | !!---------------------------------------------------------------------- |
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48 | |
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49 | CONTAINS |
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50 | |
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51 | SUBROUTINE lim_trp_2( kt ) |
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52 | !!------------------------------------------------------------------- |
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53 | !! *** ROUTINE lim_trp_2 *** |
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54 | !! |
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55 | !! ** purpose : advection/diffusion process of sea ice |
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56 | !! |
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57 | !! ** method : variables included in the process are scalar, |
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58 | !! other values are considered as second order. |
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59 | !! For advection, a second order Prather scheme is used. |
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60 | !! |
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61 | !! ** action : |
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62 | !!--------------------------------------------------------------------- |
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63 | INTEGER, INTENT(in) :: kt ! number of iteration |
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64 | !! |
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65 | INTEGER :: ji, jj, jk ! dummy loop indices |
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66 | INTEGER :: initad ! number of sub-timestep for the advection |
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67 | REAL(wp) :: zindb , zacrith, zindsn , zignm , zvbord, zrtt, ztic1, zusnit |
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68 | REAL(wp) :: zindic, zusvosn, zusvoic, zindhe, zcfl , ztsn, ztic2 |
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69 | REAL(wp), DIMENSION(jpi,jpj) :: zui_u , zs0sn, zs0c0, zs0a , zsm ! 2D workspace |
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70 | REAL(wp), DIMENSION(jpi,jpj) :: zvi_v , zs0st, zs0c1, zs0c2, zs0ice ! - - |
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71 | !--------------------------------------------------------------------- |
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72 | |
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73 | IF( kt == nit000 ) CALL lim_trp_init_2 ! Initialization (first time-step only) |
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74 | |
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75 | zsm(:,:) = area(:,:) |
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76 | |
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77 | ! !-------------------------------------! |
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78 | IF( ln_limdyn ) THEN ! Advection of sea ice properties ! |
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79 | ! !-------------------------------------! |
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80 | |
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81 | ! ice velocities at ocean U- and V-points (zui_u,zvi_v) |
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82 | ! --------------------------------------- |
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83 | ! zvbord factor between 1 and 2 to take into account slip or no-slip boundary conditions. |
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84 | zvbord = 1.0 + ( 1.0 - bound ) |
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85 | DO jj = 1, jpjm1 |
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86 | DO ji = 1, jpim1 ! NO vector opt. |
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87 | zui_u(ji,jj) = ( u_ice(ji+1,jj ) + u_ice(ji+1,jj+1) ) / ( MAX( tmu(ji+1,jj ) + tmu(ji+1,jj+1), zvbord ) ) |
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88 | zvi_v(ji,jj) = ( v_ice(ji ,jj+1) + v_ice(ji+1,jj+1) ) / ( MAX( tmu(ji ,jj+1) + tmu(ji+1,jj+1), zvbord ) ) |
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89 | END DO |
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90 | END DO |
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91 | CALL lbc_lnk( zui_u, 'U', -1. ) ; CALL lbc_lnk( zvi_v, 'V', -1. ) ! Lateral boundary conditions |
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92 | |
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93 | ! CFL test for stability |
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94 | ! ---------------------- |
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95 | zcfl = 0.e0 |
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96 | zcfl = MAX( zcfl, MAXVAL( ABS( zui_u(1:jpim1, : ) ) * rdt_ice / e1u(1:jpim1, : ) ) ) |
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97 | zcfl = MAX( zcfl, MAXVAL( ABS( zvi_v( : ,1:jpjm1) ) * rdt_ice / e2v( : ,1:jpjm1) ) ) |
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98 | |
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99 | IF( lk_mpp ) CALL mpp_max( zcfl ) |
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100 | |
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101 | IF( zcfl > 0.5 .AND. lwp ) WRITE(numout,*) 'lim_trp_2 : CFL violation at the ',nday,'th day, cfl = ',zcfl |
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102 | |
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103 | ! content of properties |
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104 | ! --------------------- |
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105 | zs0sn (:,:) = hsnm(:,:) * area(:,:) ! Snow volume. |
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106 | zs0ice(:,:) = hicm (:,:) * area(:,:) ! Ice volume. |
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107 | zs0a (:,:) = ( 1.0 - frld(:,:) ) * area(:,:) ! Surface covered by ice. |
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108 | zs0c0 (:,:) = tbif(:,:,1) / rt0_snow * zs0sn(:,:) ! Heat content of the snow layer. |
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109 | zs0c1 (:,:) = tbif(:,:,2) / rt0_ice * zs0ice(:,:) ! Heat content of the first ice layer. |
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110 | zs0c2 (:,:) = tbif(:,:,3) / rt0_ice * zs0ice(:,:) ! Heat content of the second ice layer. |
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111 | zs0st (:,:) = qstoif(:,:) / xlic * zs0a(:,:) ! Heat reservoir for brine pockets. |
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112 | |
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113 | |
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114 | ! Advection |
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115 | ! --------- |
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116 | ! If ice drift field is too fast, use an appropriate time step for advection. |
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117 | initad = 1 + INT( MAX( rzero, SIGN( rone, zcfl-0.5 ) ) ) |
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118 | zusnit = 1.0 / REAL( initad ) |
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119 | |
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120 | IF( MOD( nday , 2 ) == 0) THEN |
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121 | DO jk = 1,initad |
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122 | CALL lim_adv_x_2( zusnit, zui_u, rone , zsm, zs0ice, sxice, sxxice, syice, syyice, sxyice ) |
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123 | CALL lim_adv_y_2( zusnit, zvi_v, rzero, zsm, zs0ice, sxice, sxxice, syice, syyice, sxyice ) |
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124 | CALL lim_adv_x_2( zusnit, zui_u, rone , zsm, zs0sn , sxsn , sxxsn , sysn , syysn , sxysn ) |
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125 | CALL lim_adv_y_2( zusnit, zvi_v, rzero, zsm, zs0sn , sxsn , sxxsn , sysn , syysn , sxysn ) |
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126 | CALL lim_adv_x_2( zusnit, zui_u, rone , zsm, zs0a , sxa , sxxa , sya , syya , sxya ) |
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127 | CALL lim_adv_y_2( zusnit, zvi_v, rzero, zsm, zs0a , sxa , sxxa , sya , syya , sxya ) |
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128 | CALL lim_adv_x_2( zusnit, zui_u, rone , zsm, zs0c0 , sxc0 , sxxc0 , syc0 , syyc0 , sxyc0 ) |
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129 | CALL lim_adv_y_2( zusnit, zvi_v, rzero, zsm, zs0c0 , sxc0 , sxxc0 , syc0 , syyc0 , sxyc0 ) |
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130 | CALL lim_adv_x_2( zusnit, zui_u, rone , zsm, zs0c1 , sxc1 , sxxc1 , syc1 , syyc1 , sxyc1 ) |
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131 | CALL lim_adv_y_2( zusnit, zvi_v, rzero, zsm, zs0c1 , sxc1 , sxxc1 , syc1 , syyc1 , sxyc1 ) |
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132 | CALL lim_adv_x_2( zusnit, zui_u, rone , zsm, zs0c2 , sxc2 , sxxc2 , syc2 , syyc2 , sxyc2 ) |
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133 | CALL lim_adv_y_2( zusnit, zvi_v, rzero, zsm, zs0c2 , sxc2 , sxxc2 , syc2 , syyc2 , sxyc2 ) |
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134 | CALL lim_adv_x_2( zusnit, zui_u, rone , zsm, zs0st , sxst , sxxst , syst , syyst , sxyst ) |
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135 | CALL lim_adv_y_2( zusnit, zvi_v, rzero, zsm, zs0st , sxst , sxxst , syst , syyst , sxyst ) |
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136 | END DO |
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137 | ELSE |
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138 | DO jk = 1, initad |
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139 | CALL lim_adv_y_2( zusnit, zvi_v, rone , zsm, zs0ice, sxice, sxxice, syice, syyice, sxyice ) |
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140 | CALL lim_adv_x_2( zusnit, zui_u, rzero, zsm, zs0ice, sxice, sxxice, syice, syyice, sxyice ) |
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141 | CALL lim_adv_y_2( zusnit, zvi_v, rone , zsm, zs0sn , sxsn , sxxsn , sysn , syysn , sxysn ) |
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142 | CALL lim_adv_x_2( zusnit, zui_u, rzero, zsm, zs0sn , sxsn , sxxsn , sysn , syysn , sxysn ) |
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143 | CALL lim_adv_y_2( zusnit, zvi_v, rone , zsm, zs0a , sxa , sxxa , sya , syya , sxya ) |
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144 | CALL lim_adv_x_2( zusnit, zui_u, rzero, zsm, zs0a , sxa , sxxa , sya , syya , sxya ) |
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145 | CALL lim_adv_y_2( zusnit, zvi_v, rone , zsm, zs0c0 , sxc0 , sxxc0 , syc0 , syyc0 , sxyc0 ) |
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146 | CALL lim_adv_x_2( zusnit, zui_u, rzero, zsm, zs0c0 , sxc0 , sxxc0 , syc0 , syyc0 , sxyc0 ) |
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147 | CALL lim_adv_y_2( zusnit, zvi_v, rone , zsm, zs0c1 , sxc1 , sxxc1 , syc1 , syyc1 , sxyc1 ) |
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148 | CALL lim_adv_x_2( zusnit, zui_u, rzero, zsm, zs0c1 , sxc1 , sxxc1 , syc1 , syyc1 , sxyc1 ) |
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149 | CALL lim_adv_y_2( zusnit, zvi_v, rone , zsm, zs0c2 , sxc2 , sxxc2 , syc2 , syyc2 , sxyc2 ) |
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150 | CALL lim_adv_x_2( zusnit, zui_u, rzero, zsm, zs0c2 , sxc2 , sxxc2 , syc2 , syyc2 , sxyc2 ) |
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151 | CALL lim_adv_y_2( zusnit, zvi_v, rone , zsm, zs0st , sxst , sxxst , syst , syyst , sxyst ) |
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152 | CALL lim_adv_x_2( zusnit, zui_u, rzero, zsm, zs0st , sxst , sxxst , syst , syyst , sxyst ) |
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153 | END DO |
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154 | ENDIF |
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155 | |
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156 | ! recover the properties from their contents |
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157 | ! ------------------------------------------ |
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158 | zs0ice(:,:) = zs0ice(:,:) / area(:,:) |
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159 | zs0sn (:,:) = zs0sn (:,:) / area(:,:) |
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160 | zs0a (:,:) = zs0a (:,:) / area(:,:) |
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161 | zs0c0 (:,:) = zs0c0 (:,:) / area(:,:) |
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162 | zs0c1 (:,:) = zs0c1 (:,:) / area(:,:) |
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163 | zs0c2 (:,:) = zs0c2 (:,:) / area(:,:) |
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164 | zs0st (:,:) = zs0st (:,:) / area(:,:) |
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165 | |
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166 | |
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167 | !-------------------------------------! |
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168 | ! Diffusion of sea ice properties ! |
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169 | !-------------------------------------! |
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170 | |
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171 | ! Masked eddy diffusivity coefficient at ocean U- and V-points |
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172 | ! ------------------------------------------------------------ |
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173 | DO jj = 1, jpjm1 ! NB: has not to be defined on jpj line and jpi row |
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174 | DO ji = 1 , fs_jpim1 ! vector opt. |
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175 | pahu(ji,jj) = ( 1.0 - MAX( rzero, SIGN( rone, -zs0a(ji ,jj) ) ) ) & |
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176 | & * ( 1.0 - MAX( rzero, SIGN( rone, -zs0a(ji+1,jj) ) ) ) * ahiu(ji,jj) |
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177 | pahv(ji,jj) = ( 1.0 - MAX( rzero, SIGN( rone, -zs0a(ji,jj ) ) ) ) & |
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178 | & * ( 1.0 - MAX( rzero, SIGN( rone,- zs0a(ji,jj+1) ) ) ) * ahiv(ji,jj) |
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179 | END DO |
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180 | END DO |
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181 | |
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182 | ! diffusion |
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183 | ! --------- |
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184 | CALL lim_hdf_2( zs0ice ) |
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185 | CALL lim_hdf_2( zs0sn ) |
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186 | CALL lim_hdf_2( zs0a ) |
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187 | CALL lim_hdf_2( zs0c0 ) |
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188 | CALL lim_hdf_2( zs0c1 ) |
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189 | CALL lim_hdf_2( zs0c2 ) |
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190 | CALL lim_hdf_2( zs0st ) |
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191 | |
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192 | zs0ice(:,:) = MAX( rzero, zs0ice(:,:) * area(:,:) ) !!bug: est-ce utile |
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193 | zs0sn (:,:) = MAX( rzero, zs0sn (:,:) * area(:,:) ) !!bug: cf /area juste apres |
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194 | zs0a (:,:) = MAX( rzero, zs0a (:,:) * area(:,:) ) !! suppression des 2 change le resultat... |
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195 | zs0c0 (:,:) = MAX( rzero, zs0c0 (:,:) * area(:,:) ) |
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196 | zs0c1 (:,:) = MAX( rzero, zs0c1 (:,:) * area(:,:) ) |
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197 | zs0c2 (:,:) = MAX( rzero, zs0c2 (:,:) * area(:,:) ) |
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198 | zs0st (:,:) = MAX( rzero, zs0st (:,:) * area(:,:) ) |
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199 | |
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200 | |
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201 | ! -------------------------------------------------------------------! |
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202 | ! Up-dating and limitation of sea ice properties after transport ! |
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203 | ! -------------------------------------------------------------------! |
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204 | DO jj = 1, jpj |
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205 | zindhe = MAX( 0.e0, SIGN( 1.e0, fcor(1,jj) ) ) ! = 0 for SH, =1 for NH |
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206 | DO ji = 1, jpi |
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207 | ! ! Recover mean values over the grid squares. |
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208 | zs0sn (ji,jj) = MAX( rzero, zs0sn (ji,jj)/area(ji,jj) ) |
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209 | zs0ice(ji,jj) = MAX( rzero, zs0ice(ji,jj)/area(ji,jj) ) |
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210 | zs0a (ji,jj) = MAX( rzero, zs0a (ji,jj)/area(ji,jj) ) |
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211 | zs0c0 (ji,jj) = MAX( rzero, zs0c0 (ji,jj)/area(ji,jj) ) |
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212 | zs0c1 (ji,jj) = MAX( rzero, zs0c1 (ji,jj)/area(ji,jj) ) |
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213 | zs0c2 (ji,jj) = MAX( rzero, zs0c2 (ji,jj)/area(ji,jj) ) |
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214 | zs0st (ji,jj) = MAX( rzero, zs0st (ji,jj)/area(ji,jj) ) |
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215 | ! ! Recover in situ values. |
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216 | zindb = MAX( rzero, SIGN( rone, zs0a(ji,jj) - epsi06 ) ) |
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217 | zacrith = 1.0 - ( zindhe * acrit(1) + ( 1.0 - zindhe ) * acrit(2) ) |
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218 | zs0a (ji,jj) = zindb * MIN( zs0a(ji,jj), zacrith ) |
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219 | hsnif(ji,jj) = zindb * ( zs0sn(ji,jj) /MAX( zs0a(ji,jj), epsi16 ) ) |
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220 | hicif(ji,jj) = zindb * ( zs0ice(ji,jj)/MAX( zs0a(ji,jj), epsi16 ) ) |
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221 | zindsn = MAX( rzero, SIGN( rone, hsnif(ji,jj) - epsi06 ) ) |
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222 | zindic = MAX( rzero, SIGN( rone, hicif(ji,jj) - epsi03 ) ) |
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223 | zindb = MAX( zindsn, zindic ) |
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224 | zs0a (ji,jj) = zindb * zs0a(ji,jj) |
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225 | frld (ji,jj) = 1.0 - zs0a(ji,jj) |
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226 | hsnif(ji,jj) = zindsn * hsnif(ji,jj) |
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227 | hicif(ji,jj) = zindic * hicif(ji,jj) |
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228 | zusvosn = 1.0/MAX( hsnif(ji,jj) * zs0a(ji,jj), epsi16 ) |
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229 | zusvoic = 1.0/MAX( hicif(ji,jj) * zs0a(ji,jj), epsi16 ) |
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230 | zignm = MAX( rzero, SIGN( rone, hsndif - hsnif(ji,jj) ) ) |
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231 | zrtt = 173.15 * rone |
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232 | ztsn = zignm * tbif(ji,jj,1) & |
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233 | & + ( 1.0 - zignm ) * MIN( MAX( zrtt, rt0_snow * zusvosn * zs0c0(ji,jj)) , tfu(ji,jj) ) |
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234 | ztic1 = MIN( MAX( zrtt, rt0_ice * zusvoic * zs0c1(ji,jj) ) , tfu(ji,jj) ) |
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235 | ztic2 = MIN( MAX( zrtt, rt0_ice * zusvoic * zs0c2(ji,jj) ) , tfu(ji,jj) ) |
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236 | ! |
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237 | tbif(ji,jj,1) = zindsn * ztsn + ( 1.0 - zindsn ) * tfu(ji,jj) |
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238 | tbif(ji,jj,2) = zindic * ztic1 + ( 1.0 - zindic ) * tfu(ji,jj) |
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239 | tbif(ji,jj,3) = zindic * ztic2 + ( 1.0 - zindic ) * tfu(ji,jj) |
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240 | qstoif(ji,jj) = zindb * xlic * zs0st(ji,jj) / MAX( zs0a(ji,jj), epsi16 ) |
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241 | END DO |
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242 | END DO |
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243 | ! |
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244 | ENDIF |
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245 | ! |
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246 | END SUBROUTINE lim_trp_2 |
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247 | |
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248 | |
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249 | SUBROUTINE lim_trp_init_2 |
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250 | !!------------------------------------------------------------------- |
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251 | !! *** ROUTINE lim_trp_init_2 *** |
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252 | !! |
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253 | !! ** Purpose : initialization of ice advection parameters |
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254 | !! |
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255 | !! ** Method : Read the namicetrp namelist and check the parameter |
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256 | !! values called at the first timestep (nit000) |
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257 | !! |
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258 | !! ** input : Namelist namicetrp |
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259 | !!------------------------------------------------------------------- |
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260 | NAMELIST/namicetrp/ bound |
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261 | !!------------------------------------------------------------------- |
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262 | ! |
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263 | REWIND ( numnam_ice ) ! Read Namelist namicetrp |
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264 | READ ( numnam_ice , namicetrp ) |
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265 | IF(lwp) THEN ! control print |
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266 | WRITE(numout,*) |
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267 | WRITE(numout,*) 'lim_trp_init_2 : Ice parameters for advection ' |
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268 | WRITE(numout,*) '~~~~~~~~~~~~~~' |
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269 | WRITE(numout,*) ' boundary conditions (0. no-slip, 1. free-slip) bound = ', bound |
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270 | ENDIF |
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271 | ! |
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272 | END SUBROUTINE lim_trp_init_2 |
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273 | |
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274 | #else |
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275 | !!---------------------------------------------------------------------- |
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276 | !! Default option Empty Module No sea-ice model |
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277 | !!---------------------------------------------------------------------- |
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278 | #endif |
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279 | |
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280 | !!====================================================================== |
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281 | END MODULE limtrp_2 |
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