1 | MODULE trcadv_smolar |
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2 | !!============================================================================== |
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3 | !! *** MODULE trcadv_smolar *** |
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4 | !! Ocean passive tracers: horizontal & vertical advective trend |
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5 | !!============================================================================== |
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6 | #if defined key_passivetrc |
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7 | !!---------------------------------------------------------------------- |
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8 | !! trc_adv_smolar : update the passive tracer trend with the horizontal |
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9 | !! and vertical advection trends using a Smolarkiewicz |
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10 | !! FCT scheme |
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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 lbclnk ! ocean lateral boundary conditions (or mpp link) |
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16 | USE trcbbl ! advective passive tracers in the BBL |
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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 | !! * Accessibility |
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22 | PUBLIC trc_adv_smolar ! routine called by trcstp.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 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 | CONTAINS |
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36 | |
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37 | SUBROUTINE trc_adv_smolar( kt ) |
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38 | !!---------------------------------------------------------------------- |
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39 | !! *** ROUTINE trc_adv_smolar *** |
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40 | !! |
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41 | !! ** Purpose : Compute the now trend due to total advection of passi- |
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42 | !! ve tracer using a Smolarkiewicz FCT (Flux Corrected Transport ) |
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43 | !! scheme and add it to the general tracer trend. |
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44 | !! |
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45 | !! ** Method : Computation of not exactly the advection but the |
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46 | !! transport term, i.e. div(u*tra). |
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47 | !! Computes the now horizontal and vertical advection with |
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48 | !! the complete 3d method. |
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49 | !! |
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50 | !! note: - sc is an empirical factor to be used with care |
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51 | !! - this advection scheme needs an euler-forward time scheme |
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52 | !! |
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53 | !! ** Action : - update tra with the now advective tracer trends |
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54 | !! - save trends in trtrd ('key_trc_diatrd') |
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55 | !! |
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56 | !! References : |
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57 | !! Piotr K. Smolarkiewicz, 1983, |
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58 | !! "A simple positive definit advection |
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59 | !! scheme with small IMPLICIT diffusion" |
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60 | !! Monthly Weather Review, pp 479-486 |
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61 | !! |
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62 | !! History : |
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63 | !! ! 87-06 (pa-dl) Original |
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64 | !! ! 91-11 (G. Madec) |
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65 | !! ! 94-08 (A. Czaja) |
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66 | !! ! 95-09 (M. Levy) passive tracers |
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67 | !! ! 98-03 (M.A. Foujols) lateral boundary conditions |
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68 | !! ! 99-02 (M.A. Foujols) lbc in conjonction with ORCA |
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69 | !! ! 00-05 (MA Foujols) add lbc for tracer trends |
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70 | !! ! 00-10 (MA Foujols and E.Kestenare) INCLUDE instead of routine |
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71 | !! ! 01-05 (E.Kestenare) fix bug in trtrd indexes |
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72 | !! ! 02-05 (M-A Filiberti, and M.Levy) correction in trtrd computation |
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73 | !! 9.0 ! 03-04 (C. Ethe) F90: Free form and module |
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74 | !!---------------------------------------------------------------------- |
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75 | !! * modules used |
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76 | #if defined key_trcbbl_adv |
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77 | USE oce_trc , zun => ua, & ! use ua as workspace |
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78 | & zvn => va ! use va as workspace |
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79 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwn |
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80 | #else |
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81 | USE oce_trc , zun => un, & ! When no bbl, zun == un |
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82 | zvn => vn, & ! zvn == vn |
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83 | zwn => wn ! zwn == wn |
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84 | #endif |
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85 | !! * Arguments |
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86 | INTEGER, INTENT( in ) :: kt ! ocean time-step |
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87 | |
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88 | !! * Local declarations |
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89 | INTEGER :: ji, jj, jk,jt, jn ! dummy loop indices |
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90 | |
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91 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: & |
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92 | zti, ztj, & |
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93 | zaa, zbb, zcc, & |
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94 | zx , zy , zz , & |
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95 | zkx, zky, zkz, & |
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96 | zbuf |
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97 | |
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98 | REAL(wp) :: zbtr, ztra |
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99 | REAL(wp) :: zfp_ui, zfp_vj, zfm_ui, zfm_vj, zfp_w, zfm_w |
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100 | |
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101 | !!---------------------------------------------------------------------- |
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102 | |
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103 | |
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104 | IF( kt == nittrc000 .AND. lwp ) THEN |
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105 | WRITE(numout,*) |
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106 | WRITE(numout,*) 'trc_adv_smolar : SMOLARKIEWICZ advection scheme' |
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107 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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108 | rdttrc(:) = rdttra(:) * FLOAT(ndttrc) |
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109 | ENDIF |
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110 | |
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111 | |
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112 | #if defined key_trcbbl_adv |
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113 | ! Advective bottom boundary layer |
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114 | ! ------------------------------- |
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115 | zun(:,:,:) = un (:,:,:) - u_trc_bbl(:,:,:) |
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116 | zvn(:,:,:) = vn (:,:,:) - v_trc_bbl(:,:,:) |
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117 | zwn(:,:,:) = wn (:,:,:) + w_trc_bbl( :,:,:) |
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118 | #endif |
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119 | |
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120 | ! tracer loop parallelized (macrotasking) |
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121 | ! ======================================= |
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122 | |
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123 | DO jn = 1, jptra |
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124 | |
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125 | ! 1. tracer flux in the 3 directions |
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126 | ! ---------------------------------- |
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127 | |
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128 | ! 1.1 mass flux at u v and t-points and initialization |
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129 | |
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130 | DO jk = 1,jpk |
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131 | |
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132 | DO jj = 1,jpj |
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133 | DO ji = 1,jpi |
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134 | zaa(ji,jj,jk) = e2u(ji,jj)*fse3u(ji,jj,jk) * zun(ji,jj,jk) |
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135 | zbb(ji,jj,jk) = e1v(ji,jj)*fse3v(ji,jj,jk) * zvn(ji,jj,jk) |
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136 | zcc(ji,jj,jk) = e1t(ji,jj)*e2t(ji,jj) * zwn(ji,jj,jk) |
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137 | zbuf(ji,jj,jk) = 0. |
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138 | ztj(ji,jj,jk) = 0. |
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139 | zx(ji,jj,jk) = 0. |
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140 | zy(ji,jj,jk) = 0. |
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141 | zz(ji,jj,jk) = 0. |
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142 | zti(ji,jj,jk) = trn(ji,jj,jk,jn) |
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143 | #if defined key_trc_diatrd |
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144 | trtrd(ji,jj,jk,jn,1) = 0. |
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145 | trtrd(ji,jj,jk,jn,2) = 0. |
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146 | trtrd(ji,jj,jk,jn,3) = 0. |
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147 | #endif |
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148 | END DO |
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149 | END DO |
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150 | |
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151 | ! 1.2 calcul of intermediate field with an upstream advection scheme |
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152 | ! and mass fluxes calculated above |
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153 | |
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154 | ! calcul of tracer flux in the i and j direction |
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155 | |
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156 | DO jj=1,jpj |
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157 | zkx( 1,jj,jk)=0. |
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158 | zkx(jpi,jj,jk)=0. |
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159 | END DO |
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160 | |
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161 | DO ji=1,jpi |
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162 | zky(ji, 1,jk)=0. |
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163 | zky(ji,jpj,jk)=0. |
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164 | END DO |
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165 | |
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166 | DO jj = 2,jpjm1 |
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167 | DO ji = 2,jpim1 |
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168 | zfp_ui = 0.5 * ( zaa(ji,jj,jk) + ABS( zaa(ji,jj,jk) ) ) |
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169 | zfp_vj = 0.5 * ( zbb(ji,jj,jk) + ABS( zbb(ji,jj,jk) ) ) |
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170 | zfm_ui = 0.5 * ( zaa(ji,jj,jk) - ABS( zaa(ji,jj,jk) ) ) |
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171 | zfm_vj = 0.5 * ( zbb(ji,jj,jk) - ABS( zbb(ji,jj,jk) ) ) |
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172 | zkx(ji,jj,jk) = zfp_ui * zti(ji,jj,jk) + zfm_ui * zti(ji+1,jj ,jk) |
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173 | zky(ji,jj,jk) = zfp_vj * zti(ji,jj,jk) + zfm_vj * zti(ji ,jj+1,jk) |
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174 | END DO |
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175 | END DO |
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176 | |
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177 | END DO |
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178 | |
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179 | ! II. Vertical advection |
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180 | ! ---------------------- |
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181 | |
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182 | ! Surface value |
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183 | IF( lk_dynspg_fsc .OR. lk_dynspg_fsc_tsk ) THEN ! free surface-constant volume |
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184 | zkz(:,:, 1 ) = zwn(:,:,1) * trn(:,:,1,jn) * tmask(ji,jj,1) |
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185 | ELSE ! rigid lid : flux set to zero |
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186 | zkz(:,:, 1 ) = 0.e0 |
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187 | ENDIF |
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188 | |
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189 | DO jk = 2,jpk |
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190 | DO jj = 1,jpj |
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191 | DO ji = 1,jpi |
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192 | zfp_w = 0.5 * ( zcc(ji,jj,jk) + ABS( zcc(ji,jj,jk) ) ) |
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193 | zfm_w = 0.5 * ( zcc(ji,jj,jk) - ABS( zcc(ji,jj,jk) ) ) |
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194 | zkz(ji,jj,jk) = zfp_w * zti(ji,jj,jk) + zfm_w * zti(ji,jj,jk-1) |
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195 | END DO |
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196 | END DO |
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197 | END DO |
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198 | |
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199 | ! ... Lateral boundary conditions on zk[xy] |
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200 | CALL lbc_lnk( zkx, 'U', -1. ) |
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201 | CALL lbc_lnk( zky, 'V', -1. ) |
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202 | |
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203 | |
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204 | ! 2. calcul of after field using an upstream advection scheme |
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205 | ! ----------------------------------------------------------- |
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206 | |
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207 | DO jk = 1,jpkm1 |
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208 | DO jj = 2,jpjm1 |
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209 | DO ji = 2,jpim1 |
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210 | zbtr = 1./(e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk)) |
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211 | ztj(ji,jj,jk) = -zbtr* & |
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212 | & ( zkx(ji,jj,jk) - zkx(ji - 1,jj,jk) & |
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213 | & + zky(ji,jj,jk) - zky(ji,jj - 1,jk) & |
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214 | & + zkz(ji,jj,jk) - zkz(ji,jj,jk + 1) ) |
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215 | #if defined key_trc_diatrd |
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216 | trtrd(ji,jj,jk,jn,1) = trtrd(ji,jj,jk,jn,1) - & |
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217 | & zbtr*( zkx(ji,jj,jk) - zkx(ji - 1,jj,jk) ) |
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218 | |
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219 | trtrd(ji,jj,jk,jn,2) = trtrd(ji,jj,jk,jn,2) - & |
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220 | & zbtr*( zky(ji,jj,jk) - zky(ji,jj - 1,jk) ) |
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221 | |
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222 | trtrd(ji,jj,jk,jn,3) = trtrd(ji,jj,jk,jn,3) - & |
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223 | & zbtr*( zkz(ji,jj,jk) - zkz(ji,jj,jk + 1) ) |
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224 | #endif |
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225 | END DO |
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226 | END DO |
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227 | END DO |
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228 | |
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229 | ! 2.1 start of antidiffusive correction loop |
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230 | |
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231 | DO jt = 1,ncortrc |
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232 | |
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233 | ! 2.2 calcul of intermediary field zti |
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234 | |
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235 | DO jk = 1,jpkm1 |
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236 | DO jj = 2,jpjm1 |
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237 | DO ji = 2,jpim1 |
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238 | zti(ji,jj,jk) = zti(ji,jj,jk)+rdttrc(jk)*ztj(ji,jj,jk) |
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239 | zbuf(ji,jj,jk) = zbuf(ji,jj,jk) + ztj(ji,jj,jk) |
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240 | END DO |
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241 | END DO |
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242 | END DO |
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243 | |
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244 | ! ... Lateral boundary conditions on zti |
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245 | CALL lbc_lnk( zti, 'T', 1. ) |
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246 | |
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247 | |
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248 | ! 2.3 calcul of the antidiffusive flux |
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249 | |
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250 | DO jk = 1,jpkm1 |
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251 | DO jj = 2,jpjm1 |
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252 | DO ji = 2,jpim1 |
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253 | zx(ji,jj,jk) = ( abs(zaa(ji,jj,jk)) - rdttrc(jk) & |
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254 | & *zaa(ji,jj,jk)**2/ & |
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255 | & (e1u(ji,jj)*e2u(ji,jj)*fse3u(ji,jj,jk) ) ) & |
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256 | & *(zti(ji + 1,jj,jk) - zti( ji ,jj,jk)) & |
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257 | & /(zti( ji ,jj,jk) + zti(ji + 1,jj,jk) + rtrn) & |
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258 | & * rsc |
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259 | |
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260 | zy(ji,jj,jk) = ( abs(zbb(ji,jj,jk)) - rdttrc(jk) & |
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261 | & *zbb(ji,jj,jk)**2/ & |
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262 | & (e1v(ji,jj)*e2v(ji,jj)*fse3v(ji,jj,jk) ) ) & |
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263 | & *(zti(ji,jj + 1,jk) - zti(ji, jj ,jk)) & |
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264 | & /(zti(ji, jj ,jk) + zti(ji,jj + 1,jk) + rtrn) & |
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265 | & * rsc |
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266 | END DO |
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267 | END DO |
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268 | END DO |
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269 | |
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270 | DO jk = 2,jpkm1 |
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271 | DO jj = 2,jpjm1 |
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272 | DO ji = 2,jpim1 |
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273 | zz(ji,jj,jk) = ( abs(zcc(ji,jj,jk)) - rdttrc(jk)*zcc(ji,jj,jk)**2 & |
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274 | & /( e1t(ji,jj)*e2t(ji,jj)*fse3w(ji,jj,jk) ) ) & |
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275 | & *( zti(ji,jj,jk) - zti(ji,jj,jk - 1) )/ & |
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276 | & ( zti(ji,jj,jk) + zti(ji,jj,jk - 1) + rtrn )* rsc*( -1.) |
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277 | END DO |
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278 | END DO |
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279 | END DO |
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280 | |
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281 | ! 2.4 cross terms |
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282 | |
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283 | IF (crosster) THEN |
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284 | DO jk = 2,jpkm1 |
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285 | DO jj = 2,jpjm1 |
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286 | DO ji = 2,jpim1 |
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287 | zx(ji,jj,jk) = zx(ji,jj,jk) & |
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288 | & - 0.5*rdttrc(jk)*rsc*zaa(ji,jj,jk)*0.25* & |
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289 | & ( (zbb(ji ,jj - 1,jk ) + zbb(ji + 1,jj - 1 & |
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290 | & ,jk ) + zbb(ji + 1,jj ,jk ) + zbb(ji ,jj & |
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291 | & ,jk))* (zti(ji ,jj + 1,jk ) + zti(ji + 1,jj + & |
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292 | & 1,jk ) - zti(ji + 1,jj - 1,jk ) - zti(ji ,jj & |
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293 | & - 1,jk ))/ (zti(ji ,jj + 1,jk ) + zti(ji + 1 & |
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294 | & ,jj + 1,jk ) + zti(ji + 1,jj - 1,jk ) + zti(ji & |
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295 | & ,jj - 1,jk ) + rtrn) + (zcc(ji ,jj ,jk ) + & |
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296 | & zcc(ji + 1,jj ,jk ) + zcc(ji ,jj ,jk + 1) + & |
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297 | & zcc(ji + 1,jj ,jk + 1))* (zti(ji ,jj ,jk - 1) & |
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298 | & + zti(ji + 1,jj ,jk - 1) - zti(ji ,jj ,jk + 1 & |
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299 | & )- zti(ji + 1,jj ,jk + 1))/ (zti(ji ,jj ,jk - & |
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300 | & 1) + zti(ji + 1,jj ,jk - 1) + zti(ji ,jj ,jk & |
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301 | & +1) + zti(ji + 1,jj ,jk + 1) + rtrn))/(e1u(ji & |
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302 | & ,jj)*e2u(ji,jj)*fse3u(ji,jj,jk))*vmask(ji ,jj - & |
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303 | & 1,jk )*vmask(ji + 1,jj - 1,jk )*vmask(ji + 1 & |
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304 | & ,jj,jk)*vmask(ji ,jj ,jk )*tmask(ji ,jj ,jk & |
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305 | & )*tmask(ji + 1,jj ,jk )*tmask(ji ,jj ,jk + 1 & |
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306 | & )*tmask(ji + 1,jj ,jk + 1) |
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307 | |
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308 | zy(ji,jj,jk) = zy(ji,jj,jk) & |
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309 | & - 0.5*rdttrc(jk)*rsc*zbb(ji,jj,jk)*0.25* & |
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310 | & ( (zaa(ji - 1,jj ,jk ) + zaa(ji - 1,jj + 1 & |
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311 | & ,jk ) + zaa(ji ,jj ,jk ) + zaa(ji ,jj + 1 & |
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312 | & ,jk))* (zti(ji + 1,jj + 1,jk ) + zti(ji + 1,jj & |
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313 | & ,jk ) - zti(ji - 1,jj + 1,jk ) - zti(ji - 1,jj & |
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314 | & ,jk ))/ (zti(ji + 1,jj + 1,jk ) + zti(ji + 1 & |
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315 | & ,jj ,jk ) + zti(ji - 1,jj + 1,jk ) + zti(ji & |
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316 | & - 1,jj ,jk ) + rtrn) + (zcc(ji ,jj ,jk ) & |
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317 | & + zcc(ji ,jj ,jk + 1) + zcc(ji ,jj + 1,jk ) & |
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318 | & + zcc(ji ,jj + 1,jk + 1))* (zti(ji ,jj ,jk - & |
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319 | & 1) + zti(ji ,jj + 1,jk - 1) - zti(ji ,jj ,jk & |
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320 | & +1) - zti(ji ,jj + 1,jk + 1))/ (zti(ji ,jj & |
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321 | & ,jk- 1) + zti(ji ,jj + 1,jk - 1) + zti(ji ,jj & |
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322 | & ,jk+ 1) + zti(ji ,jj + 1,jk + 1) + rtrn)) & |
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323 | & /(e1v(ji,jj)*e2v(ji,jj)*fse3v(ji,jj,jk)) & |
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324 | & *umask(ji - 1,jj,jk )*umask(ji - 1,jj + 1,jk ) & |
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325 | & *umask(ji ,jj,jk )*umask(ji ,jj + 1,jk ) & |
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326 | & *tmask(ji ,jj,jk)*tmask(ji ,jj ,jk + 1) & |
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327 | & *tmask(ji ,jj + 1,jk)*tmask(ji ,jj + 1,jk + 1) |
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328 | |
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329 | zz(ji,jj,jk) = zz(ji,jj,jk) & |
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330 | & - 0.5*rdttrc(jk)*rsc*zcc(ji,jj,jk)*0.25* & |
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331 | & ( (zaa(ji - 1,jj ,jk ) + zaa(ji ,jj ,jk & |
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332 | & ) + zaa(ji ,jj ,jk - 1) + zaa(ji - 1,jj ,jk - & |
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333 | & 1))*(zti(ji + 1,jj ,jk - 1) + zti(ji + 1,jj & |
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334 | & ,jk ) - zti(ji - 1,jj ,jk ) - zti(ji - 1,jj & |
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335 | & ,jk - 1))/(zti(ji + 1,jj ,jk - 1) + zti(ji + 1 & |
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336 | & ,jj,jk ) + zti(ji - 1,jj ,jk ) + zti(ji - 1 & |
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337 | & ,jj,jk - 1) + rtrn) + (zbb(ji ,jj - 1,jk ) & |
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338 | & + zbb(ji ,jj ,jk ) + zbb(ji ,jj ,jk - 1) & |
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339 | & + zbb(ji ,jj - 1,jk - 1))*(zti(ji ,jj + 1,jk - & |
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340 | & 1) + zti(ji ,jj + 1,jk ) - zti(ji ,jj - 1,jk & |
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341 | & ) - zti(ji ,jj - 1,jk - 1))/(zti(ji ,jj + 1,jk & |
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342 | & - 1) + zti(ji ,jj + 1,jk ) + zti(ji ,jj - 1 & |
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343 | & ,jk ) + zti(ji ,jj - 1,jk - 1) + rtrn)) & |
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344 | & /(e1t(ji,jj)*e2t(ji,jj)*fse3w(ji,jj,jk)) & |
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345 | & *umask(ji - 1,jj,jk )*umask(ji ,jj ,jk ) & |
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346 | & *umask(ji ,jj,jk- 1)*umask(ji - 1,jj ,jk - 1) & |
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347 | & *vmask(ji ,jj- 1,jk)*vmask(ji ,jj ,jk ) & |
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348 | & *vmask(ji ,jj ,jk-1)*vmask(ji ,jj - 1,jk - 1) |
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349 | END DO |
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350 | END DO |
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351 | END DO |
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352 | |
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353 | DO jj = 2,jpjm1 |
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354 | DO ji = 2,jpim1 |
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355 | zx(ji,jj,1) = zx(ji,jj,1) & |
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356 | & - 0.5*rdttrc(jk)*rsc*zaa(ji,jj,1)*0.25* & |
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357 | & ( (zbb(ji ,jj - 1,1 ) + zbb(ji + 1,jj - 1,1 ) & |
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358 | & + zbb(ji + 1,jj ,1 ) + zbb(ji ,jj ,1 )) & |
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359 | & *(zti(ji ,jj + 1,1 ) + zti(ji + 1,jj + 1,1 ) & |
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360 | & - zti(ji + 1,jj - 1,1 ) - zti(ji ,jj - 1,1 )) & |
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361 | & /(zti(ji ,jj + 1,1 ) + zti(ji + 1,jj + 1,1 ) & |
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362 | & + zti(ji + 1,jj - 1,1 ) + zti(ji ,jj - 1,1 ) + & |
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363 | & rtrn))/(e1u(ji,jj)*e2u(ji,jj)*fse3u(ji,jj,1)) & |
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364 | & *vmask(ji ,jj - 1,1 )*vmask(ji + 1,jj - 1,1 ) & |
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365 | & *vmask(ji + 1,jj ,1 )*vmask(ji ,jj ,1 ) |
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366 | |
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367 | zy(ji,jj,1) = zy(ji,jj,1) & |
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368 | & - 0.5*rdttrc(jk)*rsc*zbb(ji,jj,1)*0.25* & |
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369 | & ( (zaa(ji-1 ,jj ,1 ) + zaa(ji - 1,jj + 1,1 ) & |
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370 | & + zaa(ji ,jj ,1 ) + zaa(ji ,jj + 1 ,1 )) & |
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371 | & *(zti(ji + 1,jj + 1,1 ) + zti(ji + 1,jj ,1 ) & |
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372 | & - zti(ji - 1,jj + 1,1 ) - zti(ji - 1,jj ,1 )) & |
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373 | & /(zti(ji + 1,jj + 1,1 ) + zti(ji + 1,jj ,1 ) & |
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374 | & + zti(ji - 1,jj + 1,1 ) + zti(ji - 1,jj ,1 ) + & |
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375 | & rtrn))/(e1v(ji,jj)*e2v(ji,jj)*fse3v(ji,jj,1)) & |
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376 | & *umask(ji - 1,jj,1 )*umask(ji - 1,jj + 1,1 ) & |
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377 | & *umask(ji ,jj,1 )*umask(ji ,jj + 1 ,1 ) |
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378 | |
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379 | END DO |
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380 | END DO |
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381 | ENDIF |
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382 | |
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383 | ! ... Lateral boundary conditions on z[xyz] |
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384 | CALL lbc_lnk( zx, 'U', -1. ) |
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385 | CALL lbc_lnk( zy, 'V', -1. ) |
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386 | CALL lbc_lnk( zz, 'W', 1. ) |
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387 | |
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388 | ! 2.4 reinitialization |
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389 | |
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390 | DO jk = 1,jpk |
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391 | DO jj = 1,jpj |
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392 | DO ji = 1,jpi |
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393 | zaa(ji,jj,jk) = zx(ji,jj,jk) |
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394 | zbb(ji,jj,jk) = zy(ji,jj,jk) |
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395 | zcc(ji,jj,jk) = zz(ji,jj,jk) |
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396 | END DO |
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397 | END DO |
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398 | END DO |
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399 | |
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400 | ! 2.5 calcul of the final field: |
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401 | ! advection by antidiffusive mass fluxes and an upstream scheme |
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402 | |
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403 | DO jk = 1,jpk |
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404 | DO jj = 2,jpjm1 |
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405 | DO ji = 2,jpim1 |
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406 | zfp_ui = 0.5 * ( zaa(ji,jj,jk) + ABS( zaa(ji,jj,jk) ) ) |
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407 | zfp_vj = 0.5 * ( zbb(ji,jj,jk) + ABS( zbb(ji,jj,jk) ) ) |
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408 | zfm_ui = 0.5 * ( zaa(ji,jj,jk) - ABS( zaa(ji,jj,jk) ) ) |
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409 | zfm_vj = 0.5 * ( zbb(ji,jj,jk) - ABS( zbb(ji,jj,jk) ) ) |
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410 | zkx(ji,jj,jk) = zfp_ui * zti(ji,jj,jk) + zfm_ui * zti(ji+1,jj ,jk) |
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411 | zky(ji,jj,jk) = zfp_vj * zti(ji,jj,jk) + zfm_vj * zti(ji ,jj+1,jk) |
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412 | END DO |
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413 | END DO |
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414 | END DO |
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415 | |
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416 | DO jk = 2,jpk |
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417 | DO jj = 1,jpj |
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418 | DO ji = 1,jpi |
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419 | zfp_w = 0.5 * ( zcc(ji,jj,jk) + ABS( zcc(ji,jj,jk) ) ) |
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420 | zfm_w = 0.5 * ( zcc(ji,jj,jk) - ABS( zcc(ji,jj,jk) ) ) |
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421 | zkz(ji,jj,jk) = zfp_w * zti(ji,jj,jk) + zfm_w * zti(ji,jj,jk-1) |
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422 | END DO |
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423 | END DO |
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424 | END DO |
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425 | |
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426 | |
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427 | ! ... Lateral boundary conditions on zk[xy] |
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428 | CALL lbc_lnk( zkx, 'U', -1. ) |
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429 | CALL lbc_lnk( zky, 'V', -1. ) |
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430 | |
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431 | |
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432 | ! 2.6. calcul of after field using an upstream advection scheme |
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433 | |
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434 | DO jk = 1,jpkm1 |
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435 | DO jj = 2,jpjm1 |
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436 | DO ji = 2,jpim1 |
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437 | zbtr = 1./(e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk)) |
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438 | ztj(ji,jj,jk) = -zbtr* & |
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439 | & ( zkx(ji,jj,jk) - zkx(ji - 1,jj,jk) & |
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440 | & + zky(ji,jj,jk) - zky(ji,jj - 1,jk) & |
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441 | & + zkz(ji,jj,jk) - zkz(ji,jj,jk + 1) ) |
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442 | #if defined key_trc_diatrd |
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443 | trtrd(ji,jj,jk,jn,1) = trtrd(ji,jj,jk,jn,1) - & |
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444 | & zbtr*( zkx(ji,jj,jk) - zkx(ji - 1,jj,jk) ) |
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445 | |
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446 | trtrd(ji,jj,jk,jn,2) = trtrd(ji,jj,jk,jn,2) - & |
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447 | & zbtr*( zky(ji,jj,jk) - zky(ji,jj - 1,jk) ) |
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448 | |
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449 | trtrd(ji,jj,jk,jn,3) = trtrd(ji,jj,jk,jn,3) - & |
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450 | & zbtr*( zkz(ji,jj,jk) - zkz(ji,jj,jk + 1) ) |
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451 | #endif |
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452 | END DO |
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453 | END DO |
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454 | END DO |
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455 | |
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456 | ! 2.6 END of antidiffusive correction loop |
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457 | |
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458 | END DO |
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459 | |
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460 | ! 3. trend due to horizontal and vertical advection of tracer jn |
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461 | ! -------------------------------------------------------------- |
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462 | |
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463 | DO jk = 1,jpk |
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464 | DO jj = 2,jpjm1 |
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465 | DO ji = 2,jpim1 |
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466 | ztra = ( zbuf(ji,jj,jk) + ztj(ji,jj,jk) ) * tmask(ji,jj,jk) |
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467 | tra(ji,jj,jk,jn) = tra(ji,jj,jk,jn) + ztra |
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468 | END DO |
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469 | END DO |
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470 | END DO |
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471 | |
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472 | ! 4.0 convert the transport trend into advection trend |
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473 | ! ---------------------------------------------------- |
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474 | |
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475 | #if defined key_trc_diatrd |
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476 | DO jk = 1,jpk |
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477 | DO jj = 2,jpjm1 |
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478 | DO ji = 2,jpim1 |
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479 | zbtr = 1./(e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk)) |
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480 | zgm = zbtr * trn(ji,jj,jk,jn) * & |
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481 | & ( zun(ji ,jj,jk) * e2u(ji ,jj) * fse3u(ji ,jj,jk) & |
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482 | & -zun(ji-1,jj,jk) * e2u(ji-1,jj) * fse3u(ji-1,jj,jk)) |
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483 | |
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484 | zgz = zbtr * trn(ji,jj,jk,jn) * & |
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485 | & ( zvn(ji,jj ,jk) * e1v(ji,jj ) * fse3v(ji,jj ,jk) & |
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486 | & -zvn(ji,jj-1,jk) * e1v(ji,jj-1) * fse3v(ji,jj-1,jk)) |
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487 | |
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488 | trtrd(ji,jj,jk,jn,1) = trtrd(ji,jj,jk,jn,1) + zgm |
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489 | trtrd(ji,jj,jk,jn,2) = trtrd(ji,jj,jk,jn,2) + zgz |
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490 | trtrd(ji,jj,jk,jn,3) = trtrd(ji,jj,jk,jn,3) & |
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491 | & - trn(ji,jj,jk,jn) * hdivn(ji,jj,jk) |
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492 | END DO |
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493 | END DO |
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494 | END DO |
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495 | |
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496 | ! Lateral boundary conditions on trtrd: |
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497 | |
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498 | CALL lbc_lnk( trtrd(1,1,1,jn,1), 'T', 1. ) |
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499 | CALL lbc_lnk( trtrd(1,1,1,jn,2), 'T', 1. ) |
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500 | CALL lbc_lnk( trtrd(1,1,1,jn,3), 'T', 1. ) |
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501 | #endif |
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502 | |
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503 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
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504 | ztra = SUM( tra(2:nictle,2:njctle,1:jpkm1,jn) * tmask(2:nictle,2:njctle,1:jpkm1) ) |
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505 | WRITE(numout,*) ' trc/zad - ',ctrcnm(jn),' : ', ztra-tra_ctl(jn), ' smolar' |
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506 | tra_ctl(jn) = ztra |
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507 | ENDIF |
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508 | ! END of tracer loop |
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509 | ! ================== |
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510 | ENDDO |
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511 | |
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512 | END SUBROUTINE trc_adv_smolar |
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513 | |
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514 | #else |
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515 | !!---------------------------------------------------------------------- |
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516 | !! Default option Empty module |
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517 | !!---------------------------------------------------------------------- |
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518 | CONTAINS |
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519 | SUBROUTINE trc_adv_smolar( kt ) |
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520 | INTEGER, INTENT(in) :: kt |
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521 | WRITE(*,*) 'trc_adv_smolar: You should not have seen this print! error?', kt |
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522 | END SUBROUTINE trc_adv_smolar |
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523 | #endif |
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524 | |
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525 | !!====================================================================== |
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526 | END MODULE trcadv_smolar |
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