1 | MODULE limcons |
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2 | !!====================================================================== |
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3 | !! *** MODULE limcons *** |
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4 | !! LIM-3 Sea Ice : conservation check |
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5 | !!====================================================================== |
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6 | !! History : - ! Original code from William H. Lipscomb, LANL |
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7 | !! 3.0 ! 2004-06 (M. Vancoppenolle) Energy Conservation |
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8 | !! 3.5 ! 2011-02 (G. Madec) add mpp considerations |
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9 | !! - ! 2014-05 (C. Rousset) add lim_cons_hsm |
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10 | !! - ! 2015-03 (C. Rousset) add lim_cons_final |
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11 | !!---------------------------------------------------------------------- |
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12 | #if defined key_lim3 |
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13 | !!---------------------------------------------------------------------- |
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14 | !! 'key_lim3' LIM-3 sea-ice model |
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15 | !!---------------------------------------------------------------------- |
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16 | !! lim_cons : checks whether energy, mass and salt are conserved |
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17 | !!---------------------------------------------------------------------- |
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18 | USE phycst ! physical constants |
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19 | USE ice ! LIM-3 variables |
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20 | USE dom_oce ! ocean domain |
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21 | USE in_out_manager ! I/O manager |
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22 | USE lib_mpp ! MPP library |
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23 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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24 | USE sbc_oce , ONLY : sfx ! Surface boundary condition: ocean fields |
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25 | USE sbc_ice , ONLY : qevap_ice |
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26 | |
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27 | IMPLICIT NONE |
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28 | PRIVATE |
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29 | |
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30 | PUBLIC lim_column_sum |
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31 | PUBLIC lim_column_sum_energy |
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32 | PUBLIC lim_cons_check |
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33 | PUBLIC lim_cons_hsm |
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34 | PUBLIC lim_cons_final |
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35 | |
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36 | !!---------------------------------------------------------------------- |
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37 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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38 | !! $Id$ |
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39 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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40 | !!---------------------------------------------------------------------- |
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41 | CONTAINS |
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42 | |
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43 | SUBROUTINE lim_column_sum( ksum, pin, pout ) |
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44 | !!------------------------------------------------------------------- |
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45 | !! *** ROUTINE lim_column_sum *** |
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46 | !! |
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47 | !! ** Purpose : Compute the sum of xin over nsum categories |
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48 | !! |
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49 | !! ** Method : Arithmetics |
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50 | !! |
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51 | !! ** Action : Gets xin(ji,jj,jl) and computes xout(ji,jj) |
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52 | !!--------------------------------------------------------------------- |
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53 | INTEGER , INTENT(in ) :: ksum ! number of categories/layers |
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54 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pin ! input field |
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55 | REAL(wp), DIMENSION(:,:) , INTENT( out) :: pout ! output field |
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56 | ! |
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57 | INTEGER :: jl ! dummy loop indices |
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58 | !!--------------------------------------------------------------------- |
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59 | ! |
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60 | pout(:,:) = pin(:,:,1) |
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61 | DO jl = 2, ksum |
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62 | pout(:,:) = pout(:,:) + pin(:,:,jl) |
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63 | END DO |
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64 | ! |
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65 | END SUBROUTINE lim_column_sum |
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66 | |
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67 | |
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68 | SUBROUTINE lim_column_sum_energy( ksum, klay, pin, pout) |
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69 | !!------------------------------------------------------------------- |
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70 | !! *** ROUTINE lim_column_sum_energy *** |
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71 | !! |
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72 | !! ** Purpose : Compute the sum of xin over nsum categories |
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73 | !! and nlay layers |
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74 | !! |
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75 | !! ** Method : Arithmetics |
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76 | !!--------------------------------------------------------------------- |
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77 | INTEGER , INTENT(in ) :: ksum !: number of categories |
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78 | INTEGER , INTENT(in ) :: klay !: number of vertical layers |
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79 | REAL(wp), DIMENSION(jpi,jpj,nlay_i,jpl), INTENT(in ) :: pin !: input field |
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80 | REAL(wp), DIMENSION(jpi,jpj) , INTENT( out) :: pout !: output field |
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81 | ! |
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82 | INTEGER :: jk, jl ! dummy loop indices |
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83 | !!--------------------------------------------------------------------- |
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84 | ! |
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85 | pout(:,:) = 0._wp |
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86 | DO jl = 1, ksum |
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87 | DO jk = 2, klay |
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88 | pout(:,:) = pout(:,:) + pin(:,:,jk,jl) |
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89 | END DO |
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90 | END DO |
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91 | ! |
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92 | END SUBROUTINE lim_column_sum_energy |
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93 | |
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94 | |
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95 | SUBROUTINE lim_cons_check( px1, px2, pmax_err, cd_fieldid ) |
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96 | !!------------------------------------------------------------------- |
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97 | !! *** ROUTINE lim_cons_check *** |
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98 | !! |
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99 | !! ** Purpose : Test the conservation of a certain variable |
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100 | !! For each physical grid cell, check that initial |
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101 | !! and final values |
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102 | !! of a conserved field are equal to within a small value. |
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103 | !! |
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104 | !! ** Method : |
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105 | !!--------------------------------------------------------------------- |
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106 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: px1 !: initial field |
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107 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: px2 !: final field |
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108 | REAL(wp) , INTENT(in ) :: pmax_err !: max allowed error |
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109 | CHARACTER(len=15) , INTENT(in ) :: cd_fieldid !: field identifyer |
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110 | ! |
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111 | INTEGER :: ji, jj ! dummy loop indices |
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112 | INTEGER :: inb_error ! number of g.c where there is a cons. error |
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113 | LOGICAL :: llconserv_err ! = .true. if conservation check failed |
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114 | REAL(wp) :: zmean_error ! mean error on error points |
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115 | !!--------------------------------------------------------------------- |
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116 | ! |
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117 | IF(lwp) WRITE(numout,*) ' lim_cons_check ' |
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118 | IF(lwp) WRITE(numout,*) ' ~~~~~~~~~~~~~~ ' |
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119 | |
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120 | llconserv_err = .FALSE. |
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121 | inb_error = 0 |
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122 | zmean_error = 0._wp |
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123 | IF( MAXVAL( px2(:,:) - px1(:,:) ) > pmax_err ) llconserv_err = .TRUE. |
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124 | |
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125 | IF( llconserv_err ) THEN |
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126 | DO jj = 1, jpj |
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127 | DO ji = 1, jpi |
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128 | IF( ABS( px2(ji,jj) - px1(ji,jj) ) > pmax_err ) THEN |
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129 | inb_error = inb_error + 1 |
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130 | zmean_error = zmean_error + ABS( px2(ji,jj) - px1(ji,jj) ) |
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131 | ! |
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132 | IF(lwp) THEN |
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133 | WRITE (numout,*) ' ALERTE 99 ' |
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134 | WRITE (numout,*) ' Conservation error: ', cd_fieldid |
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135 | WRITE (numout,*) ' Point : ', ji, jj |
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136 | WRITE (numout,*) ' lat, lon : ', gphit(ji,jj), glamt(ji,jj) |
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137 | WRITE (numout,*) ' Initial value : ', px1(ji,jj) |
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138 | WRITE (numout,*) ' Final value : ', px2(ji,jj) |
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139 | WRITE (numout,*) ' Difference : ', px2(ji,jj) - px1(ji,jj) |
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140 | ENDIF |
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141 | ENDIF |
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142 | END DO |
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143 | END DO |
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144 | ! |
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145 | ENDIF |
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146 | IF(lk_mpp) CALL mpp_sum( inb_error ) |
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147 | IF(lk_mpp) CALL mpp_sum( zmean_error ) |
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148 | ! |
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149 | IF( inb_error > 0 .AND. lwp ) THEN |
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150 | zmean_error = zmean_error / REAL( inb_error, wp ) |
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151 | WRITE(numout,*) ' Conservation check for : ', cd_fieldid |
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152 | WRITE(numout,*) ' Number of error points : ', inb_error |
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153 | WRITE(numout,*) ' Mean error on these pts: ', zmean_error |
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154 | ENDIF |
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155 | ! |
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156 | END SUBROUTINE lim_cons_check |
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157 | |
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158 | |
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159 | SUBROUTINE lim_cons_hsm( icount, cd_routine, zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b ) |
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160 | !!-------------------------------------------------------------------------------------------------------- |
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161 | !! *** ROUTINE lim_cons_hsm *** |
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162 | !! |
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163 | !! ** Purpose : Test the conservation of heat, salt and mass for each ice routine |
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164 | !! + test if ice concentration and volume are > 0 |
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165 | !! |
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166 | !! ** Method : This is an online diagnostics which can be activated with ln_limdiachk=true |
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167 | !! It prints in ocean.output if there is a violation of conservation at each time-step |
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168 | !! The thresholds (zv_sill, zs_sill, zh_sill) which determine violations are set to |
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169 | !! a minimum of 1 mm of ice (over the ice area) that is lost/gained spuriously during 100 years. |
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170 | !! For salt and heat thresholds, ice is considered to have a salinity of 10 |
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171 | !! and a heat content of 3e5 J/kg (=latent heat of fusion) |
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172 | !!-------------------------------------------------------------------------------------------------------- |
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173 | INTEGER , INTENT(in) :: icount ! determine wether this is the beggining of the routine (0) or the end (1) |
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174 | CHARACTER(len=*), INTENT(in) :: cd_routine ! name of the routine |
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175 | REAL(wp) , INTENT(inout) :: zvi_b, zsmv_b, zei_b, zfs_b, zfw_b, zft_b |
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176 | REAL(wp) :: zvi, zsmv, zei, zfs, zfw, zft |
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177 | REAL(wp) :: zvmin, zamin, zamax |
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178 | REAL(wp) :: zvtrp, zetrp |
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179 | REAL(wp) :: zarea, zv_sill, zs_sill, zh_sill |
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180 | REAL(wp), PARAMETER :: zconv = 1.e-9 ! convert W to GW and kg to Mt |
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181 | |
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182 | IF( icount == 0 ) THEN |
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183 | |
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184 | ! salt flux |
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185 | zfs_b = glob_sum( ( sfx_bri(:,:) + sfx_bog(:,:) + sfx_bom(:,:) + sfx_sum(:,:) + sfx_sni(:,:) + & |
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186 | & sfx_opw(:,:) + sfx_res(:,:) + sfx_dyn(:,:) + sfx_sub(:,:) + sfx_lam(:,:) & |
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187 | & ) * e12t(:,:) * tmask(:,:,1) * zconv ) |
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188 | |
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189 | ! water flux |
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190 | zfw_b = glob_sum( -( wfx_bog(:,:) + wfx_bom(:,:) + wfx_sum(:,:) + wfx_sni(:,:) + wfx_opw(:,:) + & |
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191 | & wfx_res(:,:) + wfx_dyn(:,:) + wfx_snw(:,:) + wfx_sub(:,:) + wfx_spr(:,:) + wfx_lam(:,:) & |
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192 | & ) * e12t(:,:) * tmask(:,:,1) * zconv ) |
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193 | |
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194 | ! heat flux |
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195 | zft_b = glob_sum( ( hfx_sum(:,:) + hfx_bom(:,:) + hfx_bog(:,:) + hfx_dif(:,:) + hfx_opw(:,:) + hfx_snw(:,:) & |
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196 | & - hfx_thd(:,:) - hfx_dyn(:,:) - hfx_res(:,:) - hfx_sub(:,:) - hfx_spr(:,:) & |
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197 | & ) * e12t(:,:) * tmask(:,:,1) * zconv ) |
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198 | |
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199 | zvi_b = glob_sum( SUM( v_i * rhoic + v_s * rhosn, dim=3 ) * e12t * tmask(:,:,1) * zconv ) |
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200 | |
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201 | zsmv_b = glob_sum( SUM( smv_i * rhoic , dim=3 ) * e12t * tmask(:,:,1) * zconv ) |
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202 | |
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203 | zei_b = glob_sum( ( SUM( SUM( e_i(:,:,1:nlay_i,:), dim=4 ), dim=3 ) + & |
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204 | & SUM( SUM( e_s(:,:,1:nlay_s,:), dim=4 ), dim=3 ) & |
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205 | ) * e12t * tmask(:,:,1) * zconv ) |
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206 | |
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207 | ELSEIF( icount == 1 ) THEN |
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208 | |
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209 | ! salt flux |
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210 | zfs = glob_sum( ( sfx_bri(:,:) + sfx_bog(:,:) + sfx_bom(:,:) + sfx_sum(:,:) + sfx_sni(:,:) + & |
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211 | & sfx_opw(:,:) + sfx_res(:,:) + sfx_dyn(:,:) + sfx_sub(:,:) + sfx_lam(:,:) & |
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212 | & ) * e12t(:,:) * tmask(:,:,1) * zconv ) - zfs_b |
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213 | |
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214 | ! water flux |
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215 | zfw = glob_sum( -( wfx_bog(:,:) + wfx_bom(:,:) + wfx_sum(:,:) + wfx_sni(:,:) + wfx_opw(:,:) + & |
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216 | & wfx_res(:,:) + wfx_dyn(:,:) + wfx_snw(:,:) + wfx_sub(:,:) + wfx_spr(:,:) + wfx_lam(:,:) & |
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217 | & ) * e12t(:,:) * tmask(:,:,1) * zconv ) - zfw_b |
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218 | |
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219 | ! heat flux |
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220 | zft = glob_sum( ( hfx_sum(:,:) + hfx_bom(:,:) + hfx_bog(:,:) + hfx_dif(:,:) + hfx_opw(:,:) + hfx_snw(:,:) & |
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221 | & - hfx_thd(:,:) - hfx_dyn(:,:) - hfx_res(:,:) - hfx_sub(:,:) - hfx_spr(:,:) & |
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222 | & ) * e12t(:,:) * tmask(:,:,1) * zconv ) - zft_b |
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223 | |
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224 | ! outputs |
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225 | zvi = ( ( glob_sum( SUM( v_i * rhoic + v_s * rhosn, dim=3 ) & |
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226 | & * e12t * tmask(:,:,1) * zconv ) - zvi_b ) * r1_rdtice - zfw ) * rday |
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227 | |
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228 | zsmv = ( ( glob_sum( SUM( smv_i * rhoic , dim=3 ) & |
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229 | & * e12t * tmask(:,:,1) * zconv ) - zsmv_b ) * r1_rdtice + zfs ) * rday |
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230 | |
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231 | zei = glob_sum( ( SUM( SUM( e_i(:,:,1:nlay_i,:), dim=4 ), dim=3 ) + & |
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232 | & SUM( SUM( e_s(:,:,1:nlay_s,:), dim=4 ), dim=3 ) & |
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233 | & ) * e12t * tmask(:,:,1) * zconv ) * r1_rdtice - zei_b * r1_rdtice + zft |
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234 | |
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235 | ! zvtrp and zetrp must be close to 0 if the advection scheme is conservative |
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236 | zvtrp = glob_sum( ( diag_trp_vi * rhoic + diag_trp_vs * rhosn ) * e12t * tmask(:,:,1) * zconv ) * rday |
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237 | zetrp = glob_sum( ( diag_trp_ei + diag_trp_es ) * e12t * tmask(:,:,1) * zconv ) |
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238 | |
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239 | zvmin = glob_min( v_i ) |
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240 | zamax = glob_max( SUM( a_i, dim=3 ) ) |
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241 | zamin = glob_min( a_i ) |
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242 | |
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243 | ! set threshold values and calculate the ice area (+epsi10 to set a threshold > 0 when there is no ice) |
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244 | zarea = glob_sum( SUM( a_i + epsi10, dim=3 ) * e12t * zconv ) ! in 1.e9 m2 |
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245 | zv_sill = zarea * 2.5e-5 |
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246 | zs_sill = zarea * 25.e-5 |
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247 | zh_sill = zarea * 10.e-5 |
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248 | |
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249 | IF(lwp) THEN |
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250 | IF ( ABS( zvi ) > zv_sill ) WRITE(numout,*) 'violation volume [Mt/day] (',cd_routine,') = ',zvi |
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251 | IF ( ABS( zsmv ) > zs_sill ) WRITE(numout,*) 'violation saline [psu*Mt/day] (',cd_routine,') = ',zsmv |
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252 | IF ( ABS( zei ) > zh_sill ) WRITE(numout,*) 'violation enthalpy [GW] (',cd_routine,') = ',zei |
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253 | IF ( ABS(zvtrp ) > zv_sill .AND. cd_routine == 'limtrp' ) THEN |
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254 | WRITE(numout,*) 'violation vtrp [Mt/day] (',cd_routine,') = ',zvtrp |
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255 | WRITE(numout,*) 'violation etrp [GW] (',cd_routine,') = ',zetrp |
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256 | ENDIF |
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257 | IF ( zvmin < -epsi10 ) WRITE(numout,*) 'violation v_i<0 [m] (',cd_routine,') = ',zvmin |
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258 | IF ( zamax > MAX( rn_amax_n, rn_amax_s ) + epsi10 .AND. & |
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259 | & cd_routine /= 'limtrp' .AND. cd_routine /= 'limitd_me' ) THEN |
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260 | WRITE(numout,*) 'violation a_i>amax (',cd_routine,') = ',zamax |
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261 | IF ( zamax > 1._wp ) WRITE(numout,*) 'violation a_i>1 (',cd_routine,') = ',zamax |
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262 | ENDIF |
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263 | IF ( zamin < -epsi10 ) WRITE(numout,*) 'violation a_i<0 (',cd_routine,') = ',zamin |
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264 | ENDIF |
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265 | |
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266 | ENDIF |
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267 | |
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268 | END SUBROUTINE lim_cons_hsm |
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269 | |
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270 | SUBROUTINE lim_cons_final( cd_routine ) |
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271 | !!--------------------------------------------------------------------------------------------------------- |
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272 | !! *** ROUTINE lim_cons_final *** |
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273 | !! |
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274 | !! ** Purpose : Test the conservation of heat, salt and mass at the end of each ice time-step |
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275 | !! |
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276 | !! ** Method : This is an online diagnostics which can be activated with ln_limdiachk=true |
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277 | !! It prints in ocean.output if there is a violation of conservation at each time-step |
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278 | !! The thresholds (zv_sill, zs_sill, zh_sill) which determine the violation are set to |
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279 | !! a minimum of 1 mm of ice (over the ice area) that is lost/gained spuriously during 100 years. |
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280 | !! For salt and heat thresholds, ice is considered to have a salinity of 10 |
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281 | !! and a heat content of 3e5 J/kg (=latent heat of fusion) |
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282 | !!-------------------------------------------------------------------------------------------------------- |
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283 | CHARACTER(len=*), INTENT(in) :: cd_routine ! name of the routine |
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284 | REAL(wp) :: zhfx, zsfx, zvfx |
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285 | REAL(wp) :: zarea, zv_sill, zs_sill, zh_sill |
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286 | REAL(wp), PARAMETER :: zconv = 1.e-9 ! convert W to GW and kg to Mt |
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287 | |
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288 | #if ! defined key_bdy |
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289 | ! heat flux |
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290 | zhfx = glob_sum( ( hfx_in - hfx_out - diag_heat - diag_trp_ei - diag_trp_es & |
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291 | ! & - SUM( qevap_ice * a_i_b, dim=3 ) & !!clem: I think this line must be commented (but need check) |
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292 | & ) * e12t * tmask(:,:,1) * zconv ) |
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293 | ! salt flux |
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294 | zsfx = glob_sum( ( sfx + diag_smvi ) * e12t * tmask(:,:,1) * zconv ) * rday |
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295 | ! water flux |
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296 | zvfx = glob_sum( ( wfx_ice + wfx_snw + wfx_spr + wfx_sub + diag_vice + diag_vsnw ) * e12t * tmask(:,:,1) * zconv ) * rday |
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297 | |
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298 | ! set threshold values and calculate the ice area (+epsi10 to set a threshold > 0 when there is no ice) |
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299 | zarea = glob_sum( SUM( a_i + epsi10, dim=3 ) * e12t * zconv ) ! in 1.e9 m2 |
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300 | zv_sill = zarea * 2.5e-5 |
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301 | zs_sill = zarea * 25.e-5 |
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302 | zh_sill = zarea * 10.e-5 |
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303 | |
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304 | IF( ABS( zvfx ) > zv_sill ) WRITE(numout,*) 'violation vfx [Mt/day] (',cd_routine,') = ',(zvfx) |
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305 | IF( ABS( zsfx ) > zs_sill ) WRITE(numout,*) 'violation sfx [psu*Mt/day] (',cd_routine,') = ',(zsfx) |
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306 | IF( ABS( zhfx ) > zh_sill ) WRITE(numout,*) 'violation hfx [GW] (',cd_routine,') = ',(zhfx) |
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307 | #endif |
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308 | |
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309 | END SUBROUTINE lim_cons_final |
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310 | |
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311 | #else |
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312 | !!---------------------------------------------------------------------- |
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313 | !! Default option Empty module NO LIM sea-ice model |
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314 | !!---------------------------------------------------------------------- |
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315 | #endif |
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316 | !!====================================================================== |
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317 | END MODULE limcons |
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