1 | MODULE dynadv_cen2_tam |
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2 | #if defined key_tam |
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3 | !!====================================================================== |
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4 | !! *** MODULE dynadv_cen2_tam *** |
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5 | !! Ocean dynamics: Update the momentum trend with the flux form advection |
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6 | !! using a 2nd order centred scheme |
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7 | !!====================================================================== |
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8 | !! History of the direct module: |
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9 | !! 2.0 ! 2006-08 (G. Madec, S. Theetten) Original code |
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10 | !! 3.2 ! 2009-07 (R. Benshila) Suppression of rigid-lid option |
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11 | !! History ot the T&A module |
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12 | !! 3.2 ! 2011-01 (A. Vidard) Original version |
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13 | !! 3.4 ! 2012-07 (P.-A. bouttier) Phasing with 3.4 |
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14 | !!---------------------------------------------------------------------- |
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15 | !!---------------------------------------------------------------------- |
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16 | !! dyn_adv_cen2 : flux form momentum advection (ln_dynadv_cen2=T) |
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17 | !! trends using a 2nd order centred scheme |
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18 | !!---------------------------------------------------------------------- |
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19 | USE oce |
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20 | USE dom_oce |
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21 | USE oce_tam |
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22 | USE in_out_manager |
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23 | USE wrk_nemo ! Memory Allocation |
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24 | USE timing ! Timing |
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25 | |
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26 | IMPLICIT NONE |
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27 | PRIVATE |
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28 | |
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29 | !! * Routine accessibility |
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30 | PUBLIC dyn_adv_cen2_tan ! routine called by step_tam.F90 |
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31 | |
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32 | !! * Substitutions |
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33 | # include "domzgr_substitute.h90" |
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34 | # include "vectopt_loop_substitute.h90" |
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35 | !!---------------------------------------------------------------------- |
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36 | !! NEMO/OPA 3.2 , LODYC-IPSL (2009) |
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37 | !! $Id$ |
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38 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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39 | !!---------------------------------------------------------------------- |
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40 | CONTAINS |
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41 | SUBROUTINE dyn_adv_cen2_tan( kt ) |
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42 | !!---------------------------------------------------------------------- |
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43 | !! *** ROUTINE dyn_adv_cen2_tan *** |
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44 | !! |
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45 | !! ** Purpose : Compute the now momentum advection trend in flux form |
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46 | !! and the general trend of the momentum equation. |
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47 | !! |
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48 | !! ** Method : Trend evaluated using now fields (centered in time) |
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49 | !! |
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50 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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51 | !!---------------------------------------------------------------------- |
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52 | !! |
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53 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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54 | !! |
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55 | INTEGER :: ji, jj, jk ! dummy loop indices |
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56 | REAL(wp) :: zbu, zbv ! temporary scalars |
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57 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zfu_ttl, zfu_ftl, zfu_uwtl ! 3D workspace |
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58 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zfv_ttl, zfv_ftl, zfv_vwtl ! - - |
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59 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zfw, zfu, zfv ! - - |
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60 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zfwtl, zfutl, zfvtl ! - - |
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61 | !!---------------------------------------------------------------------- |
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62 | ! |
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63 | IF ( nn_timing == 1 ) CALL timing_start('dyn_adv_cen2_tan') |
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64 | ! |
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65 | CALL wrk_alloc( jpi, jpj, jpk, zfu_ttl, zfv_ttl, zfu_ftl, zfv_ftl, zfu_uwtl, zfv_vwtl, zfutl, zfvtl, zfwtl ) |
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66 | ! |
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67 | IF ( kt == nit000 ) THEN |
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68 | IF(lwp) WRITE(numout,*) |
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69 | IF(lwp) WRITE(numout,*) 'dyn_adv_cen2_tan : 2nd order flux form momentum advection' |
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70 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~~' |
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71 | ENDIF |
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72 | ! ! ====================== ! |
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73 | ! ! Horizontal advection ! |
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74 | DO jk = 1, jpkm1 ! ====================== ! |
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75 | ! ! horizontal volume fluxes |
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76 | zfu(:,:,jk) = 0.25 * e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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77 | zfv(:,:,jk) = 0.25 * e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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78 | zfutl(:,:,jk) = 0.25 * e2u(:,:) * fse3u(:,:,jk) * un_tl(:,:,jk) |
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79 | zfvtl(:,:,jk) = 0.25 * e1v(:,:) * fse3v(:,:,jk) * vn_tl(:,:,jk) |
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80 | ! |
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81 | DO jj = 1, jpjm1 ! horizontal momentum fluxes at T- and F-point |
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82 | DO ji = 1, fs_jpim1 ! vector opt. |
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83 | zfu_ttl(ji+1,jj ,jk) = ( zfutl(ji,jj,jk) + zfutl(ji+1,jj ,jk) ) * ( un(ji,jj,jk) + un(ji+1,jj ,jk) ) & |
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84 | & + ( zfu(ji,jj,jk) + zfu(ji+1,jj ,jk) ) * ( un_tl(ji,jj,jk) + un_tl(ji+1,jj ,jk) ) |
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85 | zfv_ftl(ji ,jj ,jk) = ( zfvtl(ji,jj,jk) + zfvtl(ji+1,jj ,jk) ) * ( un(ji,jj,jk) + un(ji ,jj+1,jk) ) & |
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86 | & + ( zfv(ji,jj,jk) + zfv(ji+1,jj ,jk) ) * ( un_tl(ji,jj,jk) + un_tl(ji ,jj+1,jk) ) |
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87 | zfu_ftl(ji ,jj ,jk) = ( zfutl(ji,jj,jk) + zfutl(ji ,jj+1,jk) ) * ( vn(ji,jj,jk) + vn(ji+1,jj ,jk) ) & |
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88 | & + ( zfu(ji,jj,jk) + zfu(ji ,jj+1,jk) ) * ( vn_tl(ji,jj,jk) + vn_tl(ji+1,jj ,jk) ) |
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89 | zfv_ttl(ji ,jj+1,jk) = ( zfvtl(ji,jj,jk) + zfvtl(ji ,jj+1,jk) ) * ( vn(ji,jj,jk) + vn(ji ,jj+1,jk) ) & |
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90 | & + ( zfv(ji,jj,jk) + zfv(ji ,jj+1,jk) ) * ( vn_tl(ji,jj,jk) + vn_tl(ji ,jj+1,jk) ) |
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91 | END DO |
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92 | END DO |
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93 | DO jj = 2, jpjm1 ! divergence of horizontal momentum fluxes |
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94 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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95 | zbu = e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) |
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96 | zbv = e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) |
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97 | ! |
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98 | ua_tl(ji,jj,jk) = ua_tl(ji,jj,jk) - ( zfu_ttl(ji+1,jj ,jk) - zfu_ttl(ji ,jj ,jk) & |
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99 | & + zfv_ftl(ji ,jj ,jk) - zfv_ftl(ji ,jj-1,jk) ) / zbu |
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100 | va_tl(ji,jj,jk) = va_tl(ji,jj,jk) - ( zfu_ftl(ji ,jj ,jk) - zfu_ftl(ji-1,jj ,jk) & |
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101 | & + zfv_ttl(ji ,jj+1,jk) - zfv_ttl(ji ,jj ,jk) ) / zbv |
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102 | END DO |
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103 | END DO |
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104 | END DO |
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105 | ! |
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106 | ! ! ==================== ! |
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107 | ! ! Vertical advection ! |
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108 | DO jk = 1, jpkm1 ! ==================== ! |
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109 | ! ! Vertical volume fluxes |
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110 | zfw(:,:,jk) = 0.25 * e1t(:,:) * e2t(:,:) * wn(:,:,jk) |
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111 | zfwtl(:,:,jk) = 0.25 * e1t(:,:) * e2t(:,:) * wn_tl(:,:,jk) |
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112 | ! |
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113 | IF( jk == 1 ) THEN ! surface/bottom advective fluxes |
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114 | zfu_uwtl(:,:,jpk) = 0.e0 ! Bottom value : flux set to zero |
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115 | zfv_vwtl(:,:,jpk) = 0.e0 |
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116 | ! ! Surface value : |
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117 | IF( lk_vvl ) THEN ! variable volume : flux set to zero |
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118 | zfu_uwtl(:,:, 1 ) = 0.e0 |
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119 | zfv_vwtl(:,:, 1 ) = 0.e0 |
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120 | ELSE ! constant volume : advection through the surface |
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121 | DO jj = 2, jpjm1 |
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122 | DO ji = fs_2, fs_jpim1 |
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123 | zfu_uwtl(ji,jj, 1 ) = 2.e0 * ( zfwtl(ji,jj,1) + zfwtl(ji+1,jj ,1) ) * un( ji,jj,1) & |
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124 | & + 2.e0 * ( zfw( ji,jj,1) + zfw( ji+1,jj ,1) ) * un_tl(ji,jj,1) |
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125 | zfv_vwtl(ji,jj, 1 ) = 2.e0 * ( zfwtl(ji,jj,1) + zfwtl(ji ,jj+1,1) ) * vn( ji,jj,1) & |
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126 | & + 2.e0 * ( zfw( ji,jj,1) + zfw( ji ,jj+1,1) ) * vn_tl(ji,jj,1) |
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127 | END DO |
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128 | END DO |
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129 | ENDIF |
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130 | ELSE ! interior fluxes |
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131 | DO jj = 2, jpjm1 |
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132 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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133 | zfu_uwtl(ji,jj,jk) = ( zfwtl(ji,jj,jk)+ zfwtl(ji+1,jj ,jk) ) * ( un( ji,jj,jk) + un( ji,jj,jk-1) ) & |
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134 | & + ( zfw( ji,jj,jk)+ zfw( ji+1,jj ,jk) ) * ( un_tl(ji,jj,jk) + un_tl(ji,jj,jk-1) ) |
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135 | zfv_vwtl(ji,jj,jk) = ( zfwtl(ji,jj,jk)+ zfwtl(ji ,jj+1,jk) ) * ( vn( ji,jj,jk) + vn( ji,jj,jk-1) ) & |
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136 | & + ( zfw( ji,jj,jk)+ zfw( ji ,jj+1,jk) ) * ( vn_tl(ji,jj,jk) + vn_tl(ji,jj,jk-1) ) |
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137 | END DO |
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138 | END DO |
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139 | ENDIF |
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140 | END DO |
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141 | DO jk = 1, jpkm1 ! divergence of vertical momentum flux divergence |
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142 | DO jj = 2, jpjm1 |
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143 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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144 | ua_tl(ji,jj,jk) = ua_tl(ji,jj,jk) - ( zfu_uwtl(ji,jj,jk) - zfu_uwtl(ji,jj,jk+1) ) & |
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145 | & / ( e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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146 | va_tl(ji,jj,jk) = va_tl(ji,jj,jk) - ( zfv_vwtl(ji,jj,jk) - zfv_vwtl(ji,jj,jk+1) ) & |
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147 | & / ( e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) ) |
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148 | END DO |
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149 | END DO |
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150 | END DO |
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151 | ! |
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152 | CALL wrk_dealloc( jpi, jpj, jpk, zfu_ttl, zfv_ttl, zfu_ftl, zfv_ftl, zfu_uwtl, zfv_vwtl, zfutl, zfvtl, zfwtl ) |
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153 | ! |
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154 | IF( nn_timing == 1 ) CALL timing_stop('dyn_adv_cen2_tan') |
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155 | ! |
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156 | END SUBROUTINE dyn_adv_cen2_tan |
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157 | #endif |
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158 | !!============================================================================== |
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159 | END MODULE dynadv_cen2_tam |
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