1 | MODULE traldf_lap |
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2 | !!============================================================================== |
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3 | !! *** MODULE traldf_lap *** |
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4 | !! Ocean active tracers: horizontal component of the lateral tracer mixing trend |
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5 | !!============================================================================== |
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6 | |
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7 | !!---------------------------------------------------------------------- |
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8 | !! tra_ldf_lap : update the tracer trend with the horizontal diffusion |
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9 | !! using a iso-level harmonic (laplacien) operator. |
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10 | !!---------------------------------------------------------------------- |
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11 | !! * Modules used |
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12 | USE oce ! ocean dynamics and active tracers |
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13 | USE dom_oce ! ocean space and time domain |
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14 | USE ldftra_oce ! ocean active tracers: lateral physics |
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15 | USE trdtra_oce ! ocean active tracer trends |
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16 | USE in_out_manager ! I/O manager |
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17 | USE diaptr ! poleward transport diagnostics |
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18 | |
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19 | |
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20 | IMPLICIT NONE |
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21 | PRIVATE |
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22 | |
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23 | !! * Routine accessibility |
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24 | PUBLIC tra_ldf_lap ! routine called by step.F90 |
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25 | |
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26 | !! * Substitutions |
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27 | # include "domzgr_substitute.h90" |
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28 | # include "ldftra_substitute.h90" |
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29 | # include "vectopt_loop_substitute.h90" |
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30 | !!---------------------------------------------------------------------- |
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31 | !! OPA 9.0 , LODYC-IPSL (2003) |
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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 tra_ldf_lap( kt ) |
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37 | !!---------------------------------------------------------------------- |
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38 | !! *** ROUTINE tra_ldf_lap *** |
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39 | !! |
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40 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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41 | !! trend and add it to the general trend of tracer equation. |
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42 | !! |
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43 | !! ** Method : Second order diffusive operator evaluated using before |
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44 | !! fields (forward time scheme). The horizontal diffusive trends of |
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45 | !! temperature (idem for salinity) is given by: |
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46 | !! * s-coordinate ('key_s_coord' defined), the vertical scale |
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47 | !! factors e3. are inside the derivatives: |
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48 | !! difft = 1/(e1t*e2t*e3t) { di-1[ aht e2u*e3u/e1u di(tb) ] |
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49 | !! + dj-1[ aht e1v*e3v/e2v dj(tb) ] } |
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50 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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51 | !! difft = 1/(e1t*e2t) { di-1[ aht e2u/e1u di(tb) ] |
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52 | !! + dj-1[ aht e1v/e2v dj(tb) ] } |
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53 | !! Add this trend to the general tracer trend (ta,sa): |
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54 | !! (ta,sa) = (ta,sa) + ( difft , diffs ) |
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55 | !! |
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56 | !! ** Action : - Update (ta,sa) arrays with the before iso-level |
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57 | !! harmonic mixing trend. |
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58 | !! - Save the trends in (ttrd,strd) ('key_diatrends') |
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59 | !! |
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60 | !! History : |
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61 | !! 1.0 ! 87-06 (P. Andrich, D. L Hostis) Original code |
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62 | !! ! 91-11 (G. Madec) |
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63 | !! ! 95-11 (G. Madec) suppress volumetric scale factors |
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64 | !! ! 96-01 (G. Madec) statement function for e3 |
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65 | !! 8.5 ! 02-06 (G. Madec) F90: Free form and module |
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66 | !!---------------------------------------------------------------------- |
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67 | USE oce , ztu => ua, & ! use ua as workspace |
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68 | & zsu => va ! use va as workspace |
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69 | |
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70 | !! * Arguments |
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71 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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72 | |
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73 | !! * Local save |
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74 | REAL(wp), DIMENSION(jpi,jpj), SAVE :: & |
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75 | ze1ur, ze2vr, zbtr2 ! scale factor coefficients |
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76 | |
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77 | !! * Local declarations |
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78 | INTEGER :: ji, jj, jk ! dummy loop indices |
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79 | REAL(wp) :: & |
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80 | zabe1, zabe2, zbtr, zta, zsa ! temporary scalars |
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81 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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82 | ztv, zsv ! workspace |
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83 | !!---------------------------------------------------------------------- |
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84 | |
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85 | IF( kt == nit000 ) THEN |
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86 | IF(lwp) WRITE(numout,*) |
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87 | IF(lwp) WRITE(numout,*) 'tra_ldf_lap : iso-level laplacian diffusion' |
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88 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ ' |
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89 | ze1ur(:,:) = e2u(:,:) / e1u(:,:) |
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90 | ze2vr(:,:) = e1v(:,:) / e2v(:,:) |
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91 | zbtr2(:,:) = 1. / ( e1t(:,:) * e2t(:,:) ) |
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92 | ENDIF |
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93 | |
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94 | ! ! ============= |
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95 | DO jk = 1, jpkm1 ! Vertical slab |
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96 | ! ! ============= |
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97 | ! 1. First derivative (gradient) |
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98 | ! ------------------- |
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99 | DO jj = 1, jpjm1 |
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100 | DO ji = 1, fs_jpim1 ! vector opt. |
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101 | #if defined key_s_coord |
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102 | zabe1 = fsahtu(ji,jj,jk) * umask(ji,jj,jk) * ze1ur(ji,jj) * fse3u(ji,jj,jk) |
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103 | zabe2 = fsahtv(ji,jj,jk) * vmask(ji,jj,jk) * ze2vr(ji,jj) * fse3v(ji,jj,jk) |
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104 | #else |
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105 | zabe1 = fsahtu(ji,jj,jk) * umask(ji,jj,jk) * ze1ur(ji,jj) |
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106 | zabe2 = fsahtv(ji,jj,jk) * vmask(ji,jj,jk) * ze2vr(ji,jj) |
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107 | #endif |
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108 | ztu(ji,jj,jk) = zabe1 * ( tb(ji+1,jj ,jk) - tb(ji,jj,jk) ) |
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109 | zsu(ji,jj,jk) = zabe1 * ( sb(ji+1,jj ,jk) - sb(ji,jj,jk) ) |
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110 | ztv(ji,jj,jk) = zabe2 * ( tb(ji ,jj+1,jk) - tb(ji,jj,jk) ) |
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111 | zsv(ji,jj,jk) = zabe2 * ( sb(ji ,jj+1,jk) - sb(ji,jj,jk) ) |
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112 | END DO |
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113 | END DO |
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114 | |
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115 | |
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116 | ! 2. Second derivative (divergence) |
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117 | ! -------------------- |
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118 | DO jj = 2, jpjm1 |
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119 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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120 | #if defined key_s_coord |
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121 | zbtr = zbtr2(ji,jj) / fse3t(ji,jj,jk) |
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122 | #else |
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123 | zbtr = zbtr2(ji,jj) |
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124 | #endif |
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125 | ! horizontal diffusive trends |
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126 | zta = zbtr * ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) & |
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127 | & + ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) |
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128 | zsa = zbtr * ( zsu(ji,jj,jk) - zsu(ji-1,jj,jk) & |
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129 | & + zsv(ji,jj,jk) - zsv(ji,jj-1,jk) ) |
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130 | ! add it to the general tracer trends |
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131 | ta(ji,jj,jk) = ta(ji,jj,jk) + zta |
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132 | sa(ji,jj,jk) = sa(ji,jj,jk) + zsa |
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133 | #if defined key_trdtra || defined key_trdmld |
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134 | ! save the horizontal diffusive trends |
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135 | ttrd(ji,jj,jk,3) = zta |
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136 | strd(ji,jj,jk,3) = zsa |
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137 | #endif |
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138 | END DO |
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139 | END DO |
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140 | ! ! ============= |
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141 | END DO ! End of slab |
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142 | ! ! ============= |
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143 | |
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144 | IF(l_ctl) THEN ! print mean trends (used for debugging) |
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145 | zta = SUM( ta(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
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146 | zsa = SUM( sa(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
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147 | WRITE(numout,*) ' ldf - Ta: ', zta-t_ctl, ' Sa: ', zsa-s_ctl |
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148 | t_ctl = zta ; s_ctl = zsa |
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149 | ENDIF |
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150 | |
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151 | ! "zonal" mean lateral diffusive heat and salt transport |
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152 | IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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153 | # if defined key_s_coord || defined key_partial_steps |
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154 | pht_ldf(:) = ptr_vj( ztv(:,:,:) ) |
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155 | pst_ldf(:) = ptr_vj( zsv(:,:,:) ) |
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156 | # else |
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157 | DO jk = 1, jpkm1 |
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158 | DO jj = 2, jpjm1 |
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159 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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160 | ztv(ji,jj,jk) = ztv(ji,jj,jk) * fse3v(ji,jj,jk) |
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161 | zsv(ji,jj,jk) = zsv(ji,jj,jk) * fse3v(ji,jj,jk) |
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162 | END DO |
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163 | END DO |
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164 | END DO |
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165 | pht_ldf(:) = ptr_vj( ztv(:,:,:) ) |
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166 | pst_ldf(:) = ptr_vj( zsv(:,:,:) ) |
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167 | # endif |
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168 | ENDIF |
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169 | |
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170 | END SUBROUTINE tra_ldf_lap |
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171 | |
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172 | !!============================================================================== |
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173 | END MODULE traldf_lap |
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