1 | MODULE iceadv_prather |
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2 | !!====================================================================== |
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3 | !! *** MODULE iceadv_prather *** |
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4 | !! LIM sea-ice model : sea-ice advection => Prather scheme |
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5 | !!====================================================================== |
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6 | !! History : LIM ! 2008-03 (M. Vancoppenolle) LIM-3 from LIM-2 code |
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7 | !! 3.2 ! 2009-06 (F. Dupont) correct a error in the North fold b.c. |
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8 | !! 4.0 ! 2011-02 (G. Madec) dynamical allocation |
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9 | !!-------------------------------------------------------------------- |
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10 | #if defined key_lim3 |
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11 | !!---------------------------------------------------------------------- |
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12 | !! 'key_lim3' LIM3 sea-ice model |
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13 | !!---------------------------------------------------------------------- |
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14 | !! ice_adv_prather : advection of sea ice using Prather scheme |
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15 | !!---------------------------------------------------------------------- |
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16 | USE dom_oce ! ocean domain |
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17 | USE ice ! sea-ice variables |
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18 | USE sbc_oce , ONLY : nn_fsbc ! frequency of sea-ice call |
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19 | ! |
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20 | USE lbclnk ! lateral boundary condition - MPP exchanges |
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21 | USE in_out_manager ! I/O manager |
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22 | USE prtctl ! Print control |
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23 | USE lib_mpp ! MPP library |
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24 | USE lib_fortran ! to use key_nosignedzero |
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25 | |
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26 | IMPLICIT NONE |
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27 | PRIVATE |
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28 | |
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29 | PUBLIC ice_adv_prather ! called by iceadv |
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30 | |
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31 | !! * Substitutions |
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32 | # include "vectopt_loop_substitute.h90" |
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33 | !!---------------------------------------------------------------------- |
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34 | !! NEMO/ICE 4.0 , NEMO Consortium (2017) |
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35 | !! $Id: iceadv.F90 6746 2016-06-27 17:20:57Z clem $ |
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36 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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37 | !!---------------------------------------------------------------------- |
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38 | CONTAINS |
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39 | |
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40 | SUBROUTINE ice_adv_prather( kt, pu_ice, pv_ice, & |
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41 | & pato_i, pv_i, pv_s, psmv_i, poa_i, pa_i, pa_ip, pv_ip, pe_s, pe_i ) |
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42 | !!---------------------------------------------------------------------- |
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43 | !! ** routine ice_adv_prather ** |
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44 | !! |
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45 | !! ** purpose : Computes and adds the advection trend to sea-ice |
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46 | !! |
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47 | !! ** method : Uses Prather second order scheme that advects tracers |
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48 | !! but also their quadratic forms. The method preserves |
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49 | !! tracer structures by conserving second order moments. |
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50 | !! |
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51 | !! Reference: Prather, 1986, JGR, 91, D6. 6671-6681. |
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52 | !!---------------------------------------------------------------------- |
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53 | INTEGER , INTENT(in ) :: kt ! time step |
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54 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pu_ice ! ice i-velocity |
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55 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pv_ice ! ice j-velocity |
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56 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pato_i ! open water area |
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57 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i ! ice volume |
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58 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_s ! snw volume |
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59 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: psmv_i ! salt content |
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60 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: poa_i ! age content |
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61 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_i ! ice concentration |
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62 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_ip ! melt pond fraction |
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63 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_ip ! melt pond volume |
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64 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s ! snw heat content |
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65 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_i ! ice heat content |
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66 | ! |
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67 | INTEGER :: jk, jl, jt ! dummy loop indices |
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68 | INTEGER :: initad ! number of sub-timestep for the advection |
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69 | REAL(wp) :: zcfl , zusnit ! - - |
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70 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zarea |
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71 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: z0opw |
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72 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: z0ice, z0snw, z0ai, z0es , z0smi , z0oi |
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73 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: z0ap , z0vp |
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74 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:,:) :: z0ei |
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75 | !!---------------------------------------------------------------------- |
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76 | ! |
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77 | IF( kt == nit000 .AND. lwp ) THEN |
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78 | WRITE(numout,*) |
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79 | WRITE(numout,*) 'ice_adv_prather: Prather advection scheme' |
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80 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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81 | ENDIF |
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82 | ! |
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83 | ALLOCATE( zarea(jpi,jpj) , z0opw(jpi,jpj, 1 ) , & |
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84 | & z0ice(jpi,jpj,jpl) , z0snw(jpi,jpj,jpl) , z0ai(jpi,jpj,jpl) , z0es(jpi,jpj,jpl) , & |
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85 | & z0smi(jpi,jpj,jpl) , z0oi (jpi,jpj,jpl) , z0ap(jpi,jpj,jpl) , z0vp(jpi,jpj,jpl) , & |
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86 | & z0ei (jpi,jpj,nlay_i,jpl) ) |
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87 | ! |
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88 | ! --- If ice drift field is too fast, use an appropriate time step for advection (CFL test for stability) --- ! |
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89 | zcfl = MAXVAL( ABS( pu_ice(:,:) ) * rdt_ice * r1_e1u(:,:) ) |
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90 | zcfl = MAX( zcfl, MAXVAL( ABS( pv_ice(:,:) ) * rdt_ice * r1_e2v(:,:) ) ) |
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91 | IF( lk_mpp ) CALL mpp_max( zcfl ) |
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92 | |
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93 | IF( zcfl > 0.5 ) THEN ; initad = 2 ; zusnit = 0.5_wp |
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94 | ELSE ; initad = 1 ; zusnit = 1.0_wp |
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95 | ENDIF |
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96 | |
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97 | zarea(:,:) = e1e2t(:,:) |
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98 | !------------------------- |
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99 | ! transported fields |
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100 | !------------------------- |
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101 | z0opw(:,:,1) = pato_i(:,:) * e1e2t(:,:) ! Open water area |
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102 | DO jl = 1, jpl |
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103 | z0snw(:,:,jl) = pv_s (:,:, jl) * e1e2t(:,:) ! Snow volume |
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104 | z0ice(:,:,jl) = pv_i (:,:, jl) * e1e2t(:,:) ! Ice volume |
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105 | z0ai (:,:,jl) = pa_i (:,:, jl) * e1e2t(:,:) ! Ice area |
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106 | z0smi(:,:,jl) = psmv_i(:,:, jl) * e1e2t(:,:) ! Salt content |
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107 | z0oi (:,:,jl) = poa_i (:,:, jl) * e1e2t(:,:) ! Age content |
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108 | z0es (:,:,jl) = pe_s (:,:,1,jl) * e1e2t(:,:) ! Snow heat content |
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109 | DO jk = 1, nlay_i |
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110 | z0ei(:,:,jk,jl) = pe_i(:,:,jk,jl) * e1e2t(:,:) ! Ice heat content |
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111 | END DO |
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112 | IF ( nn_pnd_scheme > 0 ) THEN |
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113 | z0ap(:,:,jl) = pa_ip(:,:,jl) * e1e2t(:,:) ! Melt pond fraction |
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114 | z0vp(:,:,jl) = pv_ip(:,:,jl) * e1e2t(:,:) ! Melt pond volume |
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115 | ENDIF |
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116 | END DO |
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117 | |
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118 | ! !--------------------------------------------! |
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119 | IF( MOD( ( kt - 1) / nn_fsbc , 2 ) == 0 ) THEN !== odd ice time step: adv_x then adv_y ==! |
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120 | ! !--------------------------------------------! |
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121 | DO jt = 1, initad |
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122 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0opw (:,:,1), sxopw(:,:), & !--- ice open water area |
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123 | & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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124 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0opw (:,:,1), sxopw(:,:), & |
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125 | & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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126 | DO jl = 1, jpl |
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127 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & !--- ice volume --- |
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128 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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129 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & |
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130 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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131 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & !--- snow volume --- |
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132 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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133 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & |
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134 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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135 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & !--- ice salinity --- |
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136 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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137 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & |
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138 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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139 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & !--- ice age --- |
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140 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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141 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & |
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142 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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143 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & !--- ice concentrations --- |
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144 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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145 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & |
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146 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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147 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents --- |
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148 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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149 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & |
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150 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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151 | DO jk = 1, nlay_i !--- ice heat contents --- |
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152 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), & |
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153 | & sxxe(:,:,jk,jl), sye (:,:,jk,jl), & |
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154 | & syye(:,:,jk,jl), sxye(:,:,jk,jl) ) |
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155 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), & |
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156 | & sxxe(:,:,jk,jl), sye (:,:,jk,jl), & |
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157 | & syye(:,:,jk,jl), sxye(:,:,jk,jl) ) |
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158 | END DO |
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159 | IF ( nn_pnd_scheme > 0 ) THEN |
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160 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), & !--- melt pond fraction -- |
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161 | & sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) ) |
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162 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), & |
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163 | & sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) ) |
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164 | CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), & !--- melt pond volume -- |
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165 | & sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) ) |
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166 | CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), & |
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167 | & sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) ) |
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168 | ENDIF |
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169 | END DO |
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170 | END DO |
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171 | ! !--------------------------------------------! |
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172 | ELSE !== even ice time step: adv_y then adv_x ==! |
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173 | ! !--------------------------------------------! |
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174 | DO jt = 1, initad |
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175 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0opw (:,:,1), sxopw(:,:), & !--- ice open water area |
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176 | & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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177 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0opw (:,:,1), sxopw(:,:), & |
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178 | & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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179 | DO jl = 1, jpl |
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180 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & !--- ice volume --- |
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181 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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182 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & |
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183 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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184 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & !--- snow volume --- |
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185 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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186 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & |
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187 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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188 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & !--- ice salinity --- |
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189 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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190 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & |
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191 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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192 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & !--- ice age --- |
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193 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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194 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & |
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195 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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196 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & !--- ice concentrations --- |
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197 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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198 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & |
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199 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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200 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents --- |
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201 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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202 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0es (:,:,jl), sxc0 (:,:,jl), & |
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203 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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204 | DO jk = 1, nlay_i !--- ice heat contents --- |
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205 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), & |
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206 | & sxxe(:,:,jk,jl), sye (:,:,jk,jl), & |
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207 | & syye(:,:,jk,jl), sxye(:,:,jk,jl) ) |
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208 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0ei(:,:,jk,jl), sxe (:,:,jk,jl), & |
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209 | & sxxe(:,:,jk,jl), sye (:,:,jk,jl), & |
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210 | & syye(:,:,jk,jl), sxye(:,:,jk,jl) ) |
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211 | END DO |
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212 | IF ( nn_pnd_scheme > 0 ) THEN |
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213 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), & !--- melt pond fraction --- |
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214 | & sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) ) |
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215 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), & |
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216 | & sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) ) |
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217 | CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), & !--- melt pond volume --- |
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218 | & sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) ) |
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219 | CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), & |
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220 | & sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) ) |
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221 | ENDIF |
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222 | END DO |
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223 | END DO |
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224 | ENDIF |
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225 | |
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226 | !------------------------------------------- |
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227 | ! Recover the properties from their contents |
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228 | !------------------------------------------- |
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229 | pato_i(:,:) = z0opw(:,:,1) * r1_e1e2t(:,:) |
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230 | DO jl = 1, jpl |
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231 | pv_i (:,:, jl) = z0ice(:,:,jl) * r1_e1e2t(:,:) |
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232 | pv_s (:,:, jl) = z0snw(:,:,jl) * r1_e1e2t(:,:) |
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233 | psmv_i(:,:, jl) = z0smi(:,:,jl) * r1_e1e2t(:,:) |
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234 | poa_i (:,:, jl) = z0oi (:,:,jl) * r1_e1e2t(:,:) |
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235 | pa_i (:,:, jl) = z0ai (:,:,jl) * r1_e1e2t(:,:) |
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236 | pe_s (:,:,1,jl) = z0es (:,:,jl) * r1_e1e2t(:,:) |
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237 | DO jk = 1, nlay_i |
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238 | pe_i(:,:,jk,jl) = z0ei(:,:,jk,jl) * r1_e1e2t(:,:) |
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239 | END DO |
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240 | ! MV MP 2016 |
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241 | IF ( nn_pnd_scheme > 0 ) THEN |
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242 | pa_ip (:,:,jl) = z0ap (:,:,jl) * r1_e1e2t(:,:) |
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243 | pv_ip (:,:,jl) = z0vp (:,:,jl) * r1_e1e2t(:,:) |
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244 | ENDIF |
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245 | ! END MV MP 2016 |
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246 | END DO |
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247 | ! |
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248 | DEALLOCATE( zarea , z0opw , z0ice, z0snw , z0ai , z0es , z0smi , z0oi , z0ap , z0vp , z0ei ) |
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249 | ! |
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250 | END SUBROUTINE ice_adv_prather |
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251 | |
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252 | SUBROUTINE adv_x( pdf, put , pcrh, psm , ps0 , & |
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253 | & psx, psxx, psy , psyy, psxy ) |
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254 | !!---------------------------------------------------------------------- |
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255 | !! ** routine adv_x ** |
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256 | !! |
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257 | !! ** purpose : Computes and adds the advection trend to sea-ice |
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258 | !! variable on x axis |
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259 | !!---------------------------------------------------------------------- |
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260 | REAL(wp) , INTENT(in ) :: pdf ! reduction factor for the time step |
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261 | REAL(wp) , INTENT(in ) :: pcrh ! call adv_x then adv_y (=1) or the opposite (=0) |
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262 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: put ! i-direction ice velocity at U-point [m/s] |
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263 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psm ! area |
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264 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: ps0 ! field to be advected |
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265 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psx , psy ! 1st moments |
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266 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psxx, psyy, psxy ! 2nd moments |
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267 | !! |
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268 | INTEGER :: ji, jj ! dummy loop indices |
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269 | REAL(wp) :: zs1max, zrdt, zslpmax, ztemp ! local scalars |
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270 | REAL(wp) :: zs1new, zalf , zalfq , zbt ! - - |
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271 | REAL(wp) :: zs2new, zalf1, zalf1q, zbt1 ! - - |
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272 | REAL(wp), DIMENSION(jpi,jpj) :: zf0 , zfx , zfy , zbet ! 2D workspace |
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273 | REAL(wp), DIMENSION(jpi,jpj) :: zfm , zfxx , zfyy , zfxy ! - - |
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274 | REAL(wp), DIMENSION(jpi,jpj) :: zalg, zalg1, zalg1q ! - - |
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275 | !----------------------------------------------------------------------- |
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276 | |
---|
277 | ! Limitation of moments. |
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278 | |
---|
279 | zrdt = rdt_ice * pdf ! If ice drift field is too fast, use an appropriate time step for advection. |
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280 | |
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281 | DO jj = 1, jpj |
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282 | DO ji = 1, jpi |
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283 | zslpmax = MAX( 0._wp, ps0(ji,jj) ) |
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284 | zs1max = 1.5 * zslpmax |
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285 | zs1new = MIN( zs1max, MAX( -zs1max, psx(ji,jj) ) ) |
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286 | zs2new = MIN( 2.0 * zslpmax - 0.3334 * ABS( zs1new ), & |
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287 | & MAX( ABS( zs1new ) - zslpmax, psxx(ji,jj) ) ) |
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288 | rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zslpmax) ) ) * tmask(ji,jj,1) ! Case of empty boxes & Apply mask |
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289 | |
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290 | ps0 (ji,jj) = zslpmax |
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291 | psx (ji,jj) = zs1new * rswitch |
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292 | psxx(ji,jj) = zs2new * rswitch |
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293 | psy (ji,jj) = psy (ji,jj) * rswitch |
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294 | psyy(ji,jj) = psyy(ji,jj) * rswitch |
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295 | psxy(ji,jj) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj) ) ) * rswitch |
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296 | END DO |
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297 | END DO |
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298 | |
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299 | ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) |
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300 | psm (:,:) = MAX( pcrh * e1e2t(:,:) + ( 1.0 - pcrh ) * psm(:,:) , epsi20 ) |
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301 | |
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302 | ! Calculate fluxes and moments between boxes i<-->i+1 |
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303 | DO jj = 1, jpj ! Flux from i to i+1 WHEN u GT 0 |
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304 | DO ji = 1, jpi |
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305 | zbet(ji,jj) = MAX( 0._wp, SIGN( 1._wp, put(ji,jj) ) ) |
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306 | zalf = MAX( 0._wp, put(ji,jj) ) * zrdt * e2u(ji,jj) / psm(ji,jj) |
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307 | zalfq = zalf * zalf |
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308 | zalf1 = 1.0 - zalf |
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309 | zalf1q = zalf1 * zalf1 |
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310 | ! |
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311 | zfm (ji,jj) = zalf * psm (ji,jj) |
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312 | zf0 (ji,jj) = zalf * ( ps0 (ji,jj) + zalf1 * ( psx(ji,jj) + (zalf1 - zalf) * psxx(ji,jj) ) ) |
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313 | zfx (ji,jj) = zalfq * ( psx (ji,jj) + 3.0 * zalf1 * psxx(ji,jj) ) |
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314 | zfxx(ji,jj) = zalf * psxx(ji,jj) * zalfq |
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315 | zfy (ji,jj) = zalf * ( psy (ji,jj) + zalf1 * psxy(ji,jj) ) |
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316 | zfxy(ji,jj) = zalfq * psxy(ji,jj) |
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317 | zfyy(ji,jj) = zalf * psyy(ji,jj) |
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318 | |
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319 | ! Readjust moments remaining in the box. |
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320 | psm (ji,jj) = psm (ji,jj) - zfm(ji,jj) |
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321 | ps0 (ji,jj) = ps0 (ji,jj) - zf0(ji,jj) |
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322 | psx (ji,jj) = zalf1q * ( psx(ji,jj) - 3.0 * zalf * psxx(ji,jj) ) |
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323 | psxx(ji,jj) = zalf1 * zalf1q * psxx(ji,jj) |
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324 | psy (ji,jj) = psy (ji,jj) - zfy(ji,jj) |
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325 | psyy(ji,jj) = psyy(ji,jj) - zfyy(ji,jj) |
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326 | psxy(ji,jj) = zalf1q * psxy(ji,jj) |
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327 | END DO |
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328 | END DO |
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329 | |
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330 | DO jj = 1, jpjm1 ! Flux from i+1 to i when u LT 0. |
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331 | DO ji = 1, fs_jpim1 |
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332 | zalf = MAX( 0._wp, -put(ji,jj) ) * zrdt * e2u(ji,jj) / psm(ji+1,jj) |
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333 | zalg (ji,jj) = zalf |
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334 | zalfq = zalf * zalf |
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335 | zalf1 = 1.0 - zalf |
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336 | zalg1 (ji,jj) = zalf1 |
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337 | zalf1q = zalf1 * zalf1 |
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338 | zalg1q(ji,jj) = zalf1q |
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339 | ! |
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340 | zfm (ji,jj) = zfm (ji,jj) + zalf * psm (ji+1,jj) |
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341 | zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0 (ji+1,jj) - zalf1 * ( psx(ji+1,jj) - (zalf1 - zalf ) * psxx(ji+1,jj) ) ) |
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342 | zfx (ji,jj) = zfx (ji,jj) + zalfq * ( psx (ji+1,jj) - 3.0 * zalf1 * psxx(ji+1,jj) ) |
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343 | zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji+1,jj) * zalfq |
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344 | zfy (ji,jj) = zfy (ji,jj) + zalf * ( psy (ji+1,jj) - zalf1 * psxy(ji+1,jj) ) |
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345 | zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji+1,jj) |
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346 | zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji+1,jj) |
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347 | END DO |
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348 | END DO |
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349 | |
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350 | DO jj = 2, jpjm1 ! Readjust moments remaining in the box. |
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351 | DO ji = fs_2, fs_jpim1 |
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352 | zbt = zbet(ji-1,jj) |
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353 | zbt1 = 1.0 - zbet(ji-1,jj) |
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354 | ! |
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355 | psm (ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) - zfm(ji-1,jj) ) |
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356 | ps0 (ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) - zf0(ji-1,jj) ) |
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357 | psx (ji,jj) = zalg1q(ji-1,jj) * ( psx(ji,jj) + 3.0 * zalg(ji-1,jj) * psxx(ji,jj) ) |
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358 | psxx(ji,jj) = zalg1 (ji-1,jj) * zalg1q(ji-1,jj) * psxx(ji,jj) |
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359 | psy (ji,jj) = zbt * psy (ji,jj) + zbt1 * ( psy (ji,jj) - zfy (ji-1,jj) ) |
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360 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( psyy(ji,jj) - zfyy(ji-1,jj) ) |
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361 | psxy(ji,jj) = zalg1q(ji-1,jj) * psxy(ji,jj) |
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362 | END DO |
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363 | END DO |
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364 | |
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365 | ! Put the temporary moments into appropriate neighboring boxes. |
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366 | DO jj = 2, jpjm1 ! Flux from i to i+1 IF u GT 0. |
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367 | DO ji = fs_2, fs_jpim1 |
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368 | zbt = zbet(ji-1,jj) |
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369 | zbt1 = 1.0 - zbet(ji-1,jj) |
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370 | psm(ji,jj) = zbt * ( psm(ji,jj) + zfm(ji-1,jj) ) + zbt1 * psm(ji,jj) |
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371 | zalf = zbt * zfm(ji-1,jj) / psm(ji,jj) |
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372 | zalf1 = 1.0 - zalf |
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373 | ztemp = zalf * ps0(ji,jj) - zalf1 * zf0(ji-1,jj) |
---|
374 | ! |
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375 | ps0 (ji,jj) = zbt * ( ps0(ji,jj) + zf0(ji-1,jj) ) + zbt1 * ps0(ji,jj) |
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376 | psx (ji,jj) = zbt * ( zalf * zfx(ji-1,jj) + zalf1 * psx(ji,jj) + 3.0 * ztemp ) + zbt1 * psx(ji,jj) |
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377 | psxx(ji,jj) = zbt * ( zalf * zalf * zfxx(ji-1,jj) + zalf1 * zalf1 * psxx(ji,jj) & |
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378 | & + 5.0 * ( zalf * zalf1 * ( psx (ji,jj) - zfx(ji-1,jj) ) - ( zalf1 - zalf ) * ztemp ) ) & |
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379 | & + zbt1 * psxx(ji,jj) |
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380 | psxy(ji,jj) = zbt * ( zalf * zfxy(ji-1,jj) + zalf1 * psxy(ji,jj) & |
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381 | & + 3.0 * (- zalf1*zfy(ji-1,jj) + zalf * psy(ji,jj) ) ) & |
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382 | & + zbt1 * psxy(ji,jj) |
---|
383 | psy (ji,jj) = zbt * ( psy (ji,jj) + zfy (ji-1,jj) ) + zbt1 * psy (ji,jj) |
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384 | psyy(ji,jj) = zbt * ( psyy(ji,jj) + zfyy(ji-1,jj) ) + zbt1 * psyy(ji,jj) |
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385 | END DO |
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386 | END DO |
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387 | |
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388 | DO jj = 2, jpjm1 ! Flux from i+1 to i IF u LT 0. |
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389 | DO ji = fs_2, fs_jpim1 |
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390 | zbt = zbet(ji,jj) |
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391 | zbt1 = 1.0 - zbet(ji,jj) |
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392 | psm(ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) + zfm(ji,jj) ) |
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393 | zalf = zbt1 * zfm(ji,jj) / psm(ji,jj) |
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394 | zalf1 = 1.0 - zalf |
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395 | ztemp = - zalf * ps0(ji,jj) + zalf1 * zf0(ji,jj) |
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396 | ! |
---|
397 | ps0(ji,jj) = zbt * ps0 (ji,jj) + zbt1 * ( ps0(ji,jj) + zf0(ji,jj) ) |
---|
398 | psx(ji,jj) = zbt * psx (ji,jj) + zbt1 * ( zalf * zfx(ji,jj) + zalf1 * psx(ji,jj) + 3.0 * ztemp ) |
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399 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( zalf * zalf * zfxx(ji,jj) + zalf1 * zalf1 * psxx(ji,jj) & |
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400 | & + 5.0 *( zalf * zalf1 * ( - psx(ji,jj) + zfx(ji,jj) ) & |
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401 | & + ( zalf1 - zalf ) * ztemp ) ) |
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402 | psxy(ji,jj) = zbt * psxy(ji,jj) + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj) & |
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403 | & + 3.0 * ( zalf1 * zfy(ji,jj) - zalf * psy(ji,jj) ) ) |
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404 | psy(ji,jj) = zbt * psy (ji,jj) + zbt1 * ( psy (ji,jj) + zfy (ji,jj) ) |
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405 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( psyy(ji,jj) + zfyy(ji,jj) ) |
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406 | END DO |
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407 | END DO |
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408 | |
---|
409 | !-- Lateral boundary conditions |
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410 | CALL lbc_lnk_multi( psm , 'T', 1., ps0 , 'T', 1. & |
---|
411 | & , psx , 'T', -1., psy , 'T', -1. & ! caution gradient ==> the sign changes |
---|
412 | & , psxx, 'T', 1., psyy, 'T', 1. & |
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413 | & , psxy, 'T', 1. ) |
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414 | |
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415 | IF(ln_ctl) THEN |
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416 | CALL prt_ctl(tab2d_1=psm , clinfo1=' adv_x: psm :', tab2d_2=ps0 , clinfo2=' ps0 : ') |
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417 | CALL prt_ctl(tab2d_1=psx , clinfo1=' adv_x: psx :', tab2d_2=psxx, clinfo2=' psxx : ') |
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418 | CALL prt_ctl(tab2d_1=psy , clinfo1=' adv_x: psy :', tab2d_2=psyy, clinfo2=' psyy : ') |
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419 | CALL prt_ctl(tab2d_1=psxy , clinfo1=' adv_x: psxy :') |
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420 | ENDIF |
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421 | ! |
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422 | END SUBROUTINE adv_x |
---|
423 | |
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424 | |
---|
425 | SUBROUTINE adv_y( pdf, pvt , pcrh, psm , ps0 , & |
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426 | & psx, psxx, psy , psyy, psxy ) |
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427 | !!--------------------------------------------------------------------- |
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428 | !! ** routine adv_y ** |
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429 | !! |
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430 | !! ** purpose : Computes and adds the advection trend to sea-ice |
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431 | !! variable on y axis |
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432 | !!--------------------------------------------------------------------- |
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433 | REAL(wp) , INTENT(in ) :: pdf ! reduction factor for the time step |
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434 | REAL(wp) , INTENT(in ) :: pcrh ! call adv_x then adv_y (=1) or the opposite (=0) |
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435 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pvt ! j-direction ice velocity at V-point [m/s] |
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436 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psm ! area |
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437 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: ps0 ! field to be advected |
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438 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psx , psy ! 1st moments |
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439 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psxx, psyy, psxy ! 2nd moments |
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440 | !! |
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441 | INTEGER :: ji, jj ! dummy loop indices |
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442 | REAL(wp) :: zs1max, zrdt, zslpmax, ztemp ! temporary scalars |
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443 | REAL(wp) :: zs1new, zalf , zalfq , zbt ! - - |
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444 | REAL(wp) :: zs2new, zalf1, zalf1q, zbt1 ! - - |
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445 | REAL(wp), DIMENSION(jpi,jpj) :: zf0, zfx , zfy , zbet ! 2D workspace |
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446 | REAL(wp), DIMENSION(jpi,jpj) :: zfm, zfxx, zfyy, zfxy ! - - |
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447 | REAL(wp), DIMENSION(jpi,jpj) :: zalg, zalg1, zalg1q ! - - |
---|
448 | !--------------------------------------------------------------------- |
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449 | |
---|
450 | ! Limitation of moments. |
---|
451 | |
---|
452 | zrdt = rdt_ice * pdf ! If ice drift field is too fast, use an appropriate time step for advection. |
---|
453 | |
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454 | DO jj = 1, jpj |
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455 | DO ji = 1, jpi |
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456 | zslpmax = MAX( 0._wp, ps0(ji,jj) ) |
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457 | zs1max = 1.5 * zslpmax |
---|
458 | zs1new = MIN( zs1max, MAX( -zs1max, psy(ji,jj) ) ) |
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459 | zs2new = MIN( ( 2.0 * zslpmax - 0.3334 * ABS( zs1new ) ), & |
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460 | & MAX( ABS( zs1new )-zslpmax, psyy(ji,jj) ) ) |
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461 | rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zslpmax) ) ) * tmask(ji,jj,1) ! Case of empty boxes & Apply mask |
---|
462 | ! |
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463 | ps0 (ji,jj) = zslpmax |
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464 | psx (ji,jj) = psx (ji,jj) * rswitch |
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465 | psxx(ji,jj) = psxx(ji,jj) * rswitch |
---|
466 | psy (ji,jj) = zs1new * rswitch |
---|
467 | psyy(ji,jj) = zs2new * rswitch |
---|
468 | psxy(ji,jj) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj) ) ) * rswitch |
---|
469 | END DO |
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470 | END DO |
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471 | |
---|
472 | ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) |
---|
473 | psm(:,:) = MAX( pcrh * e1e2t(:,:) + ( 1.0 - pcrh ) * psm(:,:) , epsi20 ) |
---|
474 | |
---|
475 | ! Calculate fluxes and moments between boxes j<-->j+1 |
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476 | DO jj = 1, jpj ! Flux from j to j+1 WHEN v GT 0 |
---|
477 | DO ji = 1, jpi |
---|
478 | zbet(ji,jj) = MAX( 0._wp, SIGN( 1._wp, pvt(ji,jj) ) ) |
---|
479 | zalf = MAX( 0._wp, pvt(ji,jj) ) * zrdt * e1v(ji,jj) / psm(ji,jj) |
---|
480 | zalfq = zalf * zalf |
---|
481 | zalf1 = 1.0 - zalf |
---|
482 | zalf1q = zalf1 * zalf1 |
---|
483 | ! |
---|
484 | zfm (ji,jj) = zalf * psm(ji,jj) |
---|
485 | zf0 (ji,jj) = zalf * ( ps0(ji,jj) + zalf1 * ( psy(ji,jj) + (zalf1-zalf) * psyy(ji,jj) ) ) |
---|
486 | zfy (ji,jj) = zalfq *( psy(ji,jj) + 3.0*zalf1*psyy(ji,jj) ) |
---|
487 | zfyy(ji,jj) = zalf * zalfq * psyy(ji,jj) |
---|
488 | zfx (ji,jj) = zalf * ( psx(ji,jj) + zalf1 * psxy(ji,jj) ) |
---|
489 | zfxy(ji,jj) = zalfq * psxy(ji,jj) |
---|
490 | zfxx(ji,jj) = zalf * psxx(ji,jj) |
---|
491 | ! |
---|
492 | ! Readjust moments remaining in the box. |
---|
493 | psm (ji,jj) = psm (ji,jj) - zfm(ji,jj) |
---|
494 | ps0 (ji,jj) = ps0 (ji,jj) - zf0(ji,jj) |
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495 | psy (ji,jj) = zalf1q * ( psy(ji,jj) -3.0 * zalf * psyy(ji,jj) ) |
---|
496 | psyy(ji,jj) = zalf1 * zalf1q * psyy(ji,jj) |
---|
497 | psx (ji,jj) = psx (ji,jj) - zfx(ji,jj) |
---|
498 | psxx(ji,jj) = psxx(ji,jj) - zfxx(ji,jj) |
---|
499 | psxy(ji,jj) = zalf1q * psxy(ji,jj) |
---|
500 | END DO |
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501 | END DO |
---|
502 | ! |
---|
503 | DO jj = 1, jpjm1 ! Flux from j+1 to j when v LT 0. |
---|
504 | DO ji = 1, jpi |
---|
505 | zalf = ( MAX(0._wp, -pvt(ji,jj) ) * zrdt * e1v(ji,jj) ) / psm(ji,jj+1) |
---|
506 | zalg (ji,jj) = zalf |
---|
507 | zalfq = zalf * zalf |
---|
508 | zalf1 = 1.0 - zalf |
---|
509 | zalg1 (ji,jj) = zalf1 |
---|
510 | zalf1q = zalf1 * zalf1 |
---|
511 | zalg1q(ji,jj) = zalf1q |
---|
512 | ! |
---|
513 | zfm (ji,jj) = zfm (ji,jj) + zalf * psm (ji,jj+1) |
---|
514 | zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0 (ji,jj+1) - zalf1 * (psy(ji,jj+1) - (zalf1 - zalf ) * psyy(ji,jj+1) ) ) |
---|
515 | zfy (ji,jj) = zfy (ji,jj) + zalfq * ( psy (ji,jj+1) - 3.0 * zalf1 * psyy(ji,jj+1) ) |
---|
516 | zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji,jj+1) * zalfq |
---|
517 | zfx (ji,jj) = zfx (ji,jj) + zalf * ( psx (ji,jj+1) - zalf1 * psxy(ji,jj+1) ) |
---|
518 | zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji,jj+1) |
---|
519 | zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji,jj+1) |
---|
520 | END DO |
---|
521 | END DO |
---|
522 | |
---|
523 | ! Readjust moments remaining in the box. |
---|
524 | DO jj = 2, jpj |
---|
525 | DO ji = 1, jpi |
---|
526 | zbt = zbet(ji,jj-1) |
---|
527 | zbt1 = ( 1.0 - zbet(ji,jj-1) ) |
---|
528 | ! |
---|
529 | psm (ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) - zfm(ji,jj-1) ) |
---|
530 | ps0 (ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) - zf0(ji,jj-1) ) |
---|
531 | psy (ji,jj) = zalg1q(ji,jj-1) * ( psy(ji,jj) + 3.0 * zalg(ji,jj-1) * psyy(ji,jj) ) |
---|
532 | psyy(ji,jj) = zalg1 (ji,jj-1) * zalg1q(ji,jj-1) * psyy(ji,jj) |
---|
533 | psx (ji,jj) = zbt * psx (ji,jj) + zbt1 * ( psx (ji,jj) - zfx (ji,jj-1) ) |
---|
534 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( psxx(ji,jj) - zfxx(ji,jj-1) ) |
---|
535 | psxy(ji,jj) = zalg1q(ji,jj-1) * psxy(ji,jj) |
---|
536 | END DO |
---|
537 | END DO |
---|
538 | |
---|
539 | ! Put the temporary moments into appropriate neighboring boxes. |
---|
540 | DO jj = 2, jpjm1 ! Flux from j to j+1 IF v GT 0. |
---|
541 | DO ji = 1, jpi |
---|
542 | zbt = zbet(ji,jj-1) |
---|
543 | zbt1 = ( 1.0 - zbet(ji,jj-1) ) |
---|
544 | psm(ji,jj) = zbt * ( psm(ji,jj) + zfm(ji,jj-1) ) + zbt1 * psm(ji,jj) |
---|
545 | zalf = zbt * zfm(ji,jj-1) / psm(ji,jj) |
---|
546 | zalf1 = 1.0 - zalf |
---|
547 | ztemp = zalf * ps0(ji,jj) - zalf1 * zf0(ji,jj-1) |
---|
548 | ! |
---|
549 | ps0(ji,jj) = zbt * ( ps0(ji,jj) + zf0(ji,jj-1) ) + zbt1 * ps0(ji,jj) |
---|
550 | psy(ji,jj) = zbt * ( zalf * zfy(ji,jj-1) + zalf1 * psy(ji,jj) + 3.0 * ztemp ) & |
---|
551 | & + zbt1 * psy(ji,jj) |
---|
552 | psyy(ji,jj) = zbt * ( zalf * zalf * zfyy(ji,jj-1) + zalf1 * zalf1 * psyy(ji,jj) & |
---|
553 | & + 5.0 * ( zalf * zalf1 * ( psy(ji,jj) - zfy(ji,jj-1) ) - ( zalf1 - zalf ) * ztemp ) ) & |
---|
554 | & + zbt1 * psyy(ji,jj) |
---|
555 | psxy(ji,jj) = zbt * ( zalf * zfxy(ji,jj-1) + zalf1 * psxy(ji,jj) & |
---|
556 | & + 3.0 * (- zalf1 * zfx(ji,jj-1) + zalf * psx(ji,jj) ) ) & |
---|
557 | & + zbt1 * psxy(ji,jj) |
---|
558 | psx (ji,jj) = zbt * ( psx (ji,jj) + zfx (ji,jj-1) ) + zbt1 * psx (ji,jj) |
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559 | psxx(ji,jj) = zbt * ( psxx(ji,jj) + zfxx(ji,jj-1) ) + zbt1 * psxx(ji,jj) |
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560 | END DO |
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561 | END DO |
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562 | |
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563 | DO jj = 2, jpjm1 ! Flux from j+1 to j IF v LT 0. |
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564 | DO ji = 1, jpi |
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565 | zbt = zbet(ji,jj) |
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566 | zbt1 = ( 1.0 - zbet(ji,jj) ) |
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567 | psm(ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) + zfm(ji,jj) ) |
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568 | zalf = zbt1 * zfm(ji,jj) / psm(ji,jj) |
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569 | zalf1 = 1.0 - zalf |
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570 | ztemp = - zalf * ps0 (ji,jj) + zalf1 * zf0(ji,jj) |
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571 | ps0 (ji,jj) = zbt * ps0 (ji,jj) + zbt1 * ( ps0(ji,jj) + zf0(ji,jj) ) |
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572 | psy (ji,jj) = zbt * psy (ji,jj) + zbt1 * ( zalf * zfy(ji,jj) + zalf1 * psy(ji,jj) + 3.0 * ztemp ) |
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573 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( zalf * zalf * zfyy(ji,jj) + zalf1 * zalf1 * psyy(ji,jj) & |
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574 | & + 5.0 *( zalf *zalf1 *( -psy(ji,jj) + zfy(ji,jj) ) & |
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575 | & + ( zalf1 - zalf ) * ztemp ) ) |
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576 | psxy(ji,jj) = zbt * psxy(ji,jj) + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj) & |
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577 | & + 3.0 * ( zalf1 * zfx(ji,jj) - zalf * psx(ji,jj) ) ) |
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578 | psx (ji,jj) = zbt * psx (ji,jj) + zbt1 * ( psx (ji,jj) + zfx (ji,jj) ) |
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579 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( psxx(ji,jj) + zfxx(ji,jj) ) |
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580 | END DO |
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581 | END DO |
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582 | |
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583 | !-- Lateral boundary conditions |
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584 | CALL lbc_lnk_multi( psm , 'T', 1., ps0 , 'T', 1. & |
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585 | & , psx , 'T', -1., psy , 'T', -1. & ! caution gradient ==> the sign changes |
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586 | & , psxx, 'T', 1., psyy, 'T', 1. & |
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587 | & , psxy, 'T', 1. ) |
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588 | |
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589 | IF(ln_ctl) THEN |
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590 | CALL prt_ctl(tab2d_1=psm , clinfo1=' adv_y: psm :', tab2d_2=ps0 , clinfo2=' ps0 : ') |
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591 | CALL prt_ctl(tab2d_1=psx , clinfo1=' adv_y: psx :', tab2d_2=psxx, clinfo2=' psxx : ') |
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592 | CALL prt_ctl(tab2d_1=psy , clinfo1=' adv_y: psy :', tab2d_2=psyy, clinfo2=' psyy : ') |
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593 | CALL prt_ctl(tab2d_1=psxy , clinfo1=' adv_y: psxy :') |
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594 | ENDIF |
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595 | ! |
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596 | END SUBROUTINE adv_y |
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597 | |
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598 | #else |
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599 | !!---------------------------------------------------------------------- |
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600 | !! Default option Dummy module NO LIM sea-ice model |
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601 | !!---------------------------------------------------------------------- |
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602 | #endif |
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603 | |
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604 | !!====================================================================== |
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605 | END MODULE iceadv_prather |
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