1 | MODULE trczdf_exp |
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2 | !!============================================================================== |
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3 | !! *** MODULE trczdf_exp *** |
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4 | !! Ocean passive tracers: vertical component of the tracer mixing trend using |
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5 | !! an explicit time-stepping (time spllitting scheme) |
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6 | !!============================================================================== |
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7 | #if defined key_passivetrc |
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8 | !!---------------------------------------------------------------------- |
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9 | !! trc_zdf_exp : update the tracer trend with the vertical diffusion |
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10 | !! using an explicit time stepping |
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11 | !!---------------------------------------------------------------------- |
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12 | !! * Modules used |
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13 | USE oce_trc ! ocean dynamics and active tracers variables |
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14 | USE trc ! ocean passive tracers variables |
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15 | USE trctrp_lec ! passive tracers transport |
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16 | USE prtctl_trc ! Print control for debbuging |
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17 | |
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18 | IMPLICIT NONE |
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19 | PRIVATE |
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20 | |
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21 | !! * Routine accessibility |
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22 | PUBLIC trc_zdf_exp ! routine called by step.F90 |
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23 | |
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24 | !! * Module variable |
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25 | REAL(wp), DIMENSION(jpk) :: & |
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26 | rdttrc ! vertical profile of 2 x tracer time-step |
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27 | |
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28 | !! * Substitutions |
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29 | # include "passivetrc_substitute.h90" |
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30 | !!---------------------------------------------------------------------- |
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31 | !! TOP 1.0 , LOCEAN-IPSL (2005) |
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32 | !! $Header$ |
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33 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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34 | !!---------------------------------------------------------------------- |
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35 | |
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36 | CONTAINS |
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37 | |
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38 | SUBROUTINE trc_zdf_exp( kt ) |
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39 | !!---------------------------------------------------------------------- |
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40 | !! *** ROUTINE trc_zdf_exp *** |
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41 | !! |
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42 | !! ** Purpose : Compute the trend due to the vertical tracer mixing |
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43 | !! using an explicit time stepping and add it to the general trend |
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44 | !! of the tracer equations. |
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45 | !! |
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46 | !! ** Method : The vertical diffusion of tracers is given by: |
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47 | !! difft = dz( avt dz(trb) ) = 1/e3t dk+1( avt/e3w dk(trb) ) |
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48 | !! It is evaluated with an Euler scheme, using a time splitting |
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49 | !! technique. |
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50 | !! Surface and bottom boundary conditions: no diffusive flux on |
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51 | !! both tracers (bottom, applied through the masked field avt). |
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52 | !! Add this trend to the general trend tra : |
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53 | !! tra = tra + dz( avt dz(t) ) if lk_zdfddm= T) |
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54 | !! |
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55 | !! ** Action : - Update tra with the before vertical diffusion trend |
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56 | !! - Save the trends in trtrd ('key_trc_diatrd') |
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57 | !! |
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58 | !! History : |
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59 | !! 6.0 ! 90-10 (B. Blanke) Original code |
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60 | !! 7.0 ! 91-11 (G. Madec) |
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61 | !! ! 92-06 (M. Imbard) correction on tracer trend loops |
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62 | !! ! 96-01 (G. Madec) statement function for e3 |
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63 | !! ! 97-05 (G. Madec) vertical component of isopycnal |
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64 | !! ! 97-07 (G. Madec) geopotential diffusion in s-coord |
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65 | !! ! 98-03 (L. Bopp MA Foujols) passive tracer generalisation |
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66 | !! ! 00-05 (MA Foujols) add lbc for tracer trends |
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67 | !! ! 00-06 (O Aumont) correct isopycnal scheme suppress |
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68 | !! ! avt multiple correction |
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69 | !! ! 00-08 (G. Madec) double diffusive mixing |
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70 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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71 | !! 9.0 ! 04-03 (C. Ethe ) adapted for passive tracers |
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72 | !!--------------------------------------------------------------------- |
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73 | !! * Arguments |
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74 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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75 | |
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76 | !! * Local declarations |
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77 | INTEGER :: ji, jj, jk, jl, jn ! dummy loop indices |
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78 | REAL(wp) :: & |
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79 | zlavmr, & ! ??? |
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80 | zave3r, ze3tr, & ! ??? |
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81 | ztra ! |
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82 | REAL(wp), DIMENSION(jpi,jpk) :: & |
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83 | zwx, zwy |
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84 | CHARACTER (len=22) :: charout |
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85 | !!--------------------------------------------------------------------- |
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86 | |
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87 | IF( kt == nittrc000 ) THEN |
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88 | WRITE(numout,*) |
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89 | WRITE(numout,*) 'trc_zdf_exp : vertical tracer mixing' |
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90 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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91 | ENDIF |
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92 | |
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93 | ! 0. Local constant initialization |
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94 | ! -------------------------------- |
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95 | IF( ln_trcadv_cen2 .OR. ln_trcadv_tvd ) THEN |
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96 | ! time step = 2 rdttra with Arakawa or TVD advection scheme |
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97 | IF( neuler == 0 .AND. kt == nittrc000 ) THEN |
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98 | rdttrc(:) = rdttra(:) * FLOAT(ndttrc) ! restarting with Euler time stepping |
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99 | ELSEIF( kt <= nittrc000 + ndttrc ) THEN |
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100 | rdttrc(:) = 2. * rdttra(:) * FLOAT(ndttrc) ! leapfrog |
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101 | ENDIF |
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102 | ELSE |
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103 | rdttrc(:) = rdttra(:) * FLOAT(ndttrc) |
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104 | ENDIF |
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105 | |
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106 | |
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107 | zlavmr = 1. / FLOAT( n_trczdf_exp ) |
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108 | |
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109 | DO jn = 1, jptra |
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110 | |
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111 | ! ! =============== |
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112 | DO jj = 2, jpjm1 ! Vertical slab |
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113 | ! ! =============== |
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114 | ! 1. Initializations |
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115 | ! ------------------ |
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116 | |
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117 | ! Surface & bottom boundary conditions: no flux |
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118 | DO ji = 2, jpim1 |
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119 | zwy(ji, 1 ) = 0.e0 |
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120 | zwy(ji,jpk) = 0.e0 |
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121 | END DO |
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122 | |
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123 | ! zwx and zwz arrays set to before tracer values |
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124 | DO jk = 1, jpk |
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125 | DO ji = 2, jpim1 |
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126 | zwx(ji,jk) = trb(ji,jj,jk,jn) |
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127 | END DO |
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128 | END DO |
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129 | |
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130 | |
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131 | ! 2. Time splitting loop |
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132 | ! ---------------------- |
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133 | |
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134 | DO jl = 1, n_trczdf_exp |
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135 | |
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136 | ! first vertical derivative |
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137 | ! double diffusion: fstravs(ji,jj,jk) = avt(ji,jj,jk) /= avs (key_trc_zdfddm) |
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138 | ! fstravs(ji,jj,jk) = avs(ji,jj,jk) = avt |
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139 | DO jk = 2, jpk |
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140 | DO ji = 2, jpim1 |
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141 | zave3r = 1.e0 / fse3w(ji,jj,jk) |
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142 | zwy(ji,jk) = fstravs(ji,jj,jk) * ( zwx(ji,jk-1) - zwx(ji,jk) ) * zave3r |
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143 | END DO |
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144 | END DO |
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145 | |
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146 | |
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147 | ! trend estimation at kt+l*2*rdt/n_zdfexp |
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148 | DO jk = 1, jpkm1 |
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149 | DO ji = 2, jpim1 |
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150 | ze3tr = zlavmr / fse3t(ji,jj,jk) |
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151 | ! 2nd vertical derivative |
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152 | ztra = ( zwy(ji,jk) - zwy(ji,jk+1) ) * ze3tr |
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153 | ! update the tracer trends |
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154 | tra(ji,jj,jk,jn) = tra(ji,jj,jk,jn) + ztra |
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155 | ! update tracer fields at kt+l*2*rdt/n_trczdf_exp |
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156 | zwx(ji,jk) = zwx(ji,jk) + rdttrc(jk) * ztra * tmask(ji,jj,jk) |
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157 | END DO |
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158 | END DO |
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159 | END DO |
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160 | ! ! =============== |
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161 | END DO ! End of slab |
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162 | ! ! =============== |
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163 | END DO |
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164 | |
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165 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
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166 | WRITE(charout, FMT="('zdf - exp')") |
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167 | CALL prt_ctl_trc_info(charout) |
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168 | CALL prt_ctl_trc(tab4d=tra, mask=tmask, clinfo=ctrcnm,clinfo2='trd') |
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169 | ENDIF |
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170 | |
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171 | END SUBROUTINE trc_zdf_exp |
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172 | |
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173 | #else |
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174 | !!---------------------------------------------------------------------- |
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175 | !! Dummy module : NO passive tracer |
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176 | !!---------------------------------------------------------------------- |
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177 | CONTAINS |
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178 | SUBROUTINE trc_zdf_exp (kt ) ! Empty routine |
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179 | INTEGER, INTENT(in) :: kt |
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180 | WRITE(*,*) 'trc_zdf_exp: You should not have seen this print! error?', kt |
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181 | END SUBROUTINE trc_zdf_exp |
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182 | #endif |
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183 | |
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184 | !!============================================================================== |
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185 | END MODULE trczdf_exp |
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