1 | MODULE trczdf_imp |
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2 | !!============================================================================== |
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3 | !! *** MODULE trczdf_imp *** |
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4 | !! Ocean passive tracers: vertical component of the tracer mixing trend |
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5 | !!============================================================================== |
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6 | |
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7 | !!---------------------------------------------------------------------- |
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8 | !! trc_zdf_imp : update the tracer trend with the vertical diffusion |
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9 | !! using an implicit time-stepping. |
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10 | !!---------------------------------------------------------------------- |
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11 | !! * Modules used |
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12 | USE oce_trc ! ocean dynamics and active tracers |
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13 | USE trc ! ocean space and time domain |
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14 | USE trctrp_lec |
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15 | |
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16 | IMPLICIT NONE |
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17 | PRIVATE |
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18 | |
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19 | !! * Routine accessibility |
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20 | PUBLIC trc_zdf_imp ! routine called by step.F90 |
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21 | |
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22 | !! * Module variable |
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23 | REAL(wp), DIMENSION(jpk) :: & |
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24 | rdttrc ! vertical profile of 2 x tracer time-step |
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25 | |
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26 | !! * Substitutions |
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27 | # include "passivetrc_substitute.h90" |
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28 | !!---------------------------------------------------------------------- |
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29 | !! TOP 1.0, LOCEAN-IPSL (2005) |
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30 | !! $Header$ |
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31 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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32 | !!---------------------------------------------------------------------- |
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33 | |
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34 | CONTAINS |
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35 | |
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36 | SUBROUTINE trc_zdf_imp( kt ) |
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37 | !!---------------------------------------------------------------------- |
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38 | !! *** ROUTINE trc_zdf_imp *** |
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39 | !! |
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40 | !! ** Purpose : Compute the trend due to the vertical tracer mixing |
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41 | !! using an implicit time stepping and add it to the general trend |
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42 | !! of the tracer equations. |
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43 | !! |
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44 | !! ** Method : The vertical diffusion of tracers tra is given by: |
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45 | !! difft = dz( avt dz(t) ) = 1/e3t dk+1( avt/e3w dk(tra) ) |
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46 | !! It is thus evaluated using a backward time scheme |
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47 | !! Surface and bottom boundary conditions: no diffusive flux on |
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48 | !! both tracers (bottom, applied through the masked field avt). |
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49 | !! Add this trend to the general trend tra : |
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50 | !! tra = tra + dz( avt dz(t) ) |
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51 | !! (tra = tra + dz( avs dz(t) ) if lk_zdfddmtrc=T) |
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52 | !! |
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53 | !! ** Action : - Update tra with the before vertical diffusion trend |
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54 | !! - save the trends in trtrd ('key_trc_diatrd') |
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55 | !! |
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56 | !! History : |
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57 | !! 6.0 ! 90-10 (B. Blanke) Original code |
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58 | !! 7.0 ! 91-11 (G. Madec) |
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59 | !! ! 92-06 (M. Imbard) correction on tracer trend loops |
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60 | !! ! 96-01 (G. Madec) statement function for e3 |
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61 | !! ! 97-05 (G. Madec) vertical component of isopycnal |
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62 | !! ! 97-07 (G. Madec) geopotential diffusion in s-coord |
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63 | !! ! 98-03 (L. Bopp MA Foujols) passive tracer generalisation |
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64 | !! ! 00-05 (MA Foujols) add lbc for tracer trends |
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65 | !! ! 00-06 (O Aumont) correct isopycnal scheme suppress |
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66 | !! ! avt multiple correction |
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67 | !! ! 00-08 (G. Madec) double diffusive mixing |
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68 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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69 | !! 9.0 ! 04-03 (C. Ethe ) adapted for passive tracers |
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70 | !!--------------------------------------------------------------------- |
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71 | !! * Arguments |
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72 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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73 | INTEGER :: ikst, ikenm2, ikstp1 |
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74 | !! * Local declarations |
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75 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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76 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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77 | zwd, zws, zwi, & ! ??? |
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78 | zwx, zwy, zwt, zwz ! ??? |
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79 | REAL(wp) :: ztra ! temporary scalars |
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80 | |
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81 | REAL(wp), DIMENSION(jpi,jpj,jpk,jptra) :: & |
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82 | ztrd |
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83 | !!--------------------------------------------------------------------- |
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84 | |
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85 | IF( kt == nittrc000 ) THEN |
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86 | WRITE(numout,*) |
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87 | WRITE(numout,*) 'trc_zdf_implicit : vertical tracer mixing' |
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88 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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89 | ENDIF |
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90 | |
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91 | ! 0. Local constant initialization |
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92 | ! -------------------------------- |
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93 | IF( ln_trcadv_cen2 .OR. ln_trcadv_tvd ) THEN |
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94 | ! time step = 2 rdttra with Arakawa or TVD advection scheme |
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95 | IF( neuler == 0 .AND. kt == nittrc000 ) THEN |
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96 | rdttrc(:) = rdttra(:) * FLOAT(ndttrc) ! restarting with Euler time stepping |
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97 | ELSEIF( kt <= nittrc000 + 1 ) THEN |
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98 | rdttrc(:) = 2. * rdttra(:) * FLOAT(ndttrc) ! leapfrog |
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99 | ENDIF |
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100 | ELSE |
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101 | rdttrc(:) = rdttra(:) * FLOAT(ndttrc) |
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102 | ENDIF |
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103 | |
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104 | DO jn = 1 , jptra |
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105 | |
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106 | ! Initialisation |
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107 | zwd( 1 ,:,:) = 0.e0 ; zwd(jpi,:,:) = 0.e0 |
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108 | zws( 1 ,:,:) = 0.e0 ; zws(jpi,:,:) = 0.e0 |
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109 | zwi( 1 ,:,:) = 0.e0 ; zwi(jpi,:,:) = 0.e0 |
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110 | zwt( 1 ,:,:) = 0.e0 ; zwt(jpi,:,:) = 0.e0 |
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111 | zwt( :,:,1) = 0.e0 ; zwt( :,:,jpk) = 0.e0 |
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112 | ! |
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113 | ! 0. Matrix construction |
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114 | ! ---------------------- |
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115 | |
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116 | ! Diagonal, inferior, superior |
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117 | ! (including the bottom boundary condition via avs masked |
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118 | DO jk = 1, jpkm1 |
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119 | DO jj = 2, jpjm1 |
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120 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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121 | zwi(ji,jj,jk) = - rdttrc(jk) * fstravs(ji,jj,jk ) /( fse3t(ji,jj,jk) * fse3w(ji,jj,jk ) ) |
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122 | zws(ji,jj,jk) = - rdttrc(jk) * fstravs(ji,jj,jk+1) /( fse3t(ji,jj,jk) * fse3w(ji,jj,jk+1) ) |
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123 | zwd(ji,jj,jk) = 1. - zwi(ji,jj,jk) - zws(ji,jj,jk) |
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124 | END DO |
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125 | END DO |
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126 | ENDDO |
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127 | |
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128 | ! Surface boudary conditions |
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129 | DO jj = 2, jpjm1 |
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130 | DO ji = fs_2, fs_jpim1 |
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131 | zwi(ji,jj,1) = 0.e0 |
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132 | zwd(ji,jj,1) = 1. - zws(ji,jj,1) |
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133 | END DO |
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134 | END DO |
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135 | |
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136 | ! Second member construction |
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137 | DO jk = 1, jpkm1 |
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138 | DO jj = 2, jpjm1 |
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139 | DO ji = fs_2, fs_jpim1 |
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140 | zwy(ji,jj,jk) = trb(ji,jj,jk,jn) + rdttrc(jk) * tra(ji,jj,jk,jn) |
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141 | END DO |
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142 | END DO |
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143 | END DO |
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144 | |
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145 | |
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146 | ! Matrix inversion from the first level |
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147 | ikst = 1 |
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148 | |
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149 | # include "zdf.matrixsolver.vopt.h90" |
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150 | |
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151 | |
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152 | #if defined key_trc_diatrd |
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153 | ! Compute and save the vertical diffusive of tracers trends |
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154 | # if defined key_trc_ldfiso |
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155 | DO jk = 1, jpkm1 |
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156 | DO jj = 2, jpjm1 |
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157 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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158 | ztra = ( zwx(ji,jj,jk) - trb(ji,jj,jk,jn) ) / rdttrc(jk) |
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159 | trtrd(ji,jj,jk,jn,6) = ztra - tra(ji,jj,jk,jn) + trtrd(ji,jj,jk,jn,6) |
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160 | END DO |
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161 | END DO |
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162 | END DO |
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163 | # else |
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164 | DO jk = 1, jpkm1 |
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165 | DO jj = 2, jpjm1 |
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166 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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167 | ztra = ( zwx(ji,jj,jk) - trb(ji,jj,jk,jn) ) / rdttrc(jk) |
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168 | trtrd(ji,jj,jk,jn,6) = ztra - tra(ji,jj,jk,jn) |
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169 | END DO |
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170 | END DO |
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171 | END DO |
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172 | # endif |
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173 | #endif |
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174 | ! Save the masked passive tracer after in tra |
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175 | ! (c a u t i o n: tracer not its trend, Leap-frog scheme done |
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176 | ! it will not be done in tranxt) |
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177 | DO jk = 1, jpkm1 |
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178 | DO jj = 2, jpjm1 |
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179 | DO ji = fs_2, fs_jpim1 |
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180 | tra(ji,jj,jk,jn) = zwx(ji,jj,jk) * tmask(ji,jj,jk) |
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181 | END DO |
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182 | END DO |
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183 | END DO |
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184 | |
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185 | IF( ln_ctl .AND. lwp ) THEN |
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186 | DO jk = 1, jpkm1 |
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187 | DO jj = 2, jpjm1 |
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188 | DO ji = fs_2, fs_jpim1 |
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189 | ztrd(ji,jj,jk,jn) = ( zwx(ji,jj,jk) - trb(ji,jj,jk,jn) ) / rdttrc(jk) |
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190 | END DO |
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191 | END DO |
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192 | END DO |
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193 | ENDIF |
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194 | |
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195 | IF( ln_ctl .AND. lwp ) THEN ! print mean trends (used for debugging) |
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196 | ztra = SUM( ztrd(2:jpim1,2:jpjm1,1:jpkm1,jn) * tmask(2:jpim1,2:jpjm1,1:jpkm1) ) |
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197 | WRITE(numout,*) ' trc/zdf - ',ctrcnm(jn),' : ', ztra-tra_ctl(jn) |
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198 | tra_ctl(jn) = ztra |
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199 | ENDIF |
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200 | |
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201 | END DO |
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202 | |
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203 | END SUBROUTINE trc_zdf_imp |
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204 | |
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205 | !!============================================================================== |
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206 | END MODULE trczdf_imp |
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