1 | MODULE traldf_bilap_tam |
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2 | #ifdef key_tam |
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3 | !!=========================================================================== |
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4 | !! *** MODULE dynldf_bilap_tam *** |
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5 | !! Ocean dynamics: lateral viscosity trend |
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6 | !! tangent and Adjoint Module |
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7 | !!=========================================================================== |
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8 | |
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9 | !!--------------------------------------------------------------------------- |
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10 | !! dyn_ldf_bilap_tan : update the momentum trend with the lateral diffusion |
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11 | !! using an iso-level bilaplacian operator (tangent) |
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12 | !! dyn_ldf_bilap_adj : update the momentum trend with the lateral diffusion |
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13 | !! using an iso-level bilaplacian operator (adjoint) |
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14 | !!--------------------------------------------------------------------------- |
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15 | |
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16 | !! * Modules used |
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17 | USE lbclnk |
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18 | USE lbclnk_tam |
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19 | USE par_oce |
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20 | USE oce_tam |
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21 | USE dom_oce |
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22 | USE ldftra_oce |
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23 | USE in_out_manager |
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24 | USE gridrandom |
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25 | USE dotprodfld |
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26 | USE tstool_tam |
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27 | USE paresp |
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28 | USE trc_oce |
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29 | USE lib_mpp |
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30 | USE wrk_nemo |
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31 | USE timing |
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32 | |
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33 | IMPLICIT NONE |
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34 | PRIVATE |
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35 | |
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36 | !! * Routine accessibility |
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37 | PUBLIC tra_ldf_bilap_tan ! called by dynldf_tam.F90 |
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38 | PUBLIC tra_ldf_bilap_adj ! called by dynldf_tam.F90 |
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39 | PUBLIC tra_ldf_bilap_adj_tst ! routine called by tradldf_tam.F90 |
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40 | !! * Substitutions |
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41 | # include "domzgr_substitute.h90" |
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42 | # include "ldftra_substitute.h90" |
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43 | # include "ldfeiv_substitute.h90" |
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44 | # include "vectopt_loop_substitute.h90" |
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45 | !!---------------------------------------------------------------------- |
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46 | |
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47 | CONTAINS |
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48 | SUBROUTINE tra_ldf_bilap_tan( kt, kit000, cdtype, pgu_tl, pgv_tl, & |
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49 | & ptb_tl, pta_tl, kjpt ) |
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50 | !!---------------------------------------------------------------------- |
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51 | !! *** ROUTINE tra_ldf_bilap *** |
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52 | !! |
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53 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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54 | !! trend and add it to the general trend of tracer equation. |
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55 | !! |
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56 | !! ** Method : 4th order diffusive operator along model level surfaces |
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57 | !! evaluated using before fields (forward time scheme). The hor. |
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58 | !! diffusive trends of temperature (idem for salinity) is given by: |
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59 | !! Laplacian of tb: |
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60 | !! zlt = 1/(e1t*e2t*e3t) { di-1[ e2u*e3u/e1u di(tb) ] |
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61 | !! + dj-1[ e1v*e3v/e2v dj(tb) ] } |
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62 | !! Multiply by the eddy diffusivity coef. and insure lateral bc: |
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63 | !! zlt = ahtt * zlt |
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64 | !! call to lbc_lnk |
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65 | !! Bilaplacian (laplacian of zlt): |
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66 | !! difft = 1/(e1t*e2t*e3t) { di-1[ e2u*e3u/e1u di(zlt) ] |
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67 | !! + dj-1[ e1v*e3v/e2v dj(zlt) ] } |
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68 | !! Note: if key_zco defined, e3t=e3u=e3v, they are simplified. |
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69 | !! |
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70 | !! Add this trend to the general trend (ta,sa): |
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71 | !! (ta,sa) = (ta,sa) + ( difft , diffs ) |
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72 | !! |
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73 | !! ** Action : - Update (ta,sa) arrays with the before iso-level |
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74 | !! biharmonic mixing trend. |
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75 | !! |
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76 | !! History : |
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77 | !! ! 91-11 (G. Madec) Original code |
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78 | !! ! 93-03 (M. Guyon) symetrical conditions |
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79 | !! ! 95-11 (G. Madec) suppress volumetric scale factors |
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80 | !! ! 96-01 (G. Madec) statement function for e3 |
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81 | !! ! 96-01 (M. Imbard) mpp exchange |
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82 | !! ! 97-07 (G. Madec) optimization, and ahtt |
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83 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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84 | !! 9.0 ! 04-08 (C. talandier) New trends organization |
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85 | !! ! 05-11 (G. Madec) zps or sco as default option |
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86 | !!---------------------------------------------------------------------- |
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87 | !! History of the tangent routine |
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88 | !! 9.0 ! 10-05 (P.A. Bouttier) tangent of 9.0 |
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89 | !!---------------------------------------------------------------------- |
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90 | !! * Modules used |
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91 | !! * Arguments |
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92 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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93 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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94 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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95 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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96 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT(in ) :: pgu_tl, pgv_tl ! tracer gradient at pstep levels |
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97 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb_tl ! before and now tracer fields |
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98 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta_tl ! tracer trend |
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99 | !! * Local declarations |
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100 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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101 | INTEGER :: iku, ikv ! temporary integers |
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102 | REAL(wp) :: ztatl, zsatl, zbtr ! temporary scalars |
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103 | REAL(wp), POINTER, DIMENSION(:,:) :: & |
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104 | & zeeu, zeev, & ! 2D workspace |
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105 | & zlttl |
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106 | REAL(wp), POINTER, DIMENSION(:,:,:) :: & |
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107 | & ztutl, ztvtl ! 3D workspace |
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108 | !!---------------------------------------------------------------------- |
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109 | ! |
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110 | IF( nn_timing == 1 ) CALL timing_start( 'tra_ldf_bilap_tan') |
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111 | ! |
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112 | CALL wrk_alloc( jpi, jpj, zeeu, zeev, zlttl ) |
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113 | CALL wrk_alloc( jpi, jpj, jpk, ztutl, ztvtl ) |
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114 | ! |
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115 | IF( kt == kit000 ) THEN |
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116 | IF(lwp) WRITE(numout,*) |
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117 | IF(lwp) WRITE(numout,*) 'tra_ldf_bilap_tan : iso-level biharmonic operator on ', cdtype |
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118 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~' |
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119 | ENDIF |
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120 | |
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121 | DO jn = 1, kjpt |
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122 | ! ! =============== |
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123 | DO jk = 1, jpkm1 ! Horizontal slab |
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124 | ! ! =============== |
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125 | |
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126 | ! 0. Initialization of metric arrays (for z- or s-coordinates) |
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127 | ! ---------------------------------- |
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128 | |
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129 | DO jj = 1, jpjm1 |
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130 | DO ji = 1, fs_jpim1 ! vector opt. |
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131 | zeeu(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) * umask(ji,jj,jk) |
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132 | zeev(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) * vmask(ji,jj,jk) |
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133 | END DO |
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134 | END DO |
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135 | |
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136 | ! 1. Laplacian |
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137 | ! ------------ |
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138 | |
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139 | ! First derivative (gradient) |
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140 | DO jj = 1, jpjm1 |
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141 | DO ji = 1, fs_jpim1 ! vector opt. |
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142 | ztutl(ji,jj,jk) = zeeu(ji,jj) * ( ptb_tl(ji+1,jj ,jk,jn) - ptb_tl(ji,jj,jk,jn) ) |
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143 | ztvtl(ji,jj,jk) = zeev(ji,jj) * ( ptb_tl(ji ,jj+1,jk,jn) - ptb_tl(ji,jj,jk,jn) ) |
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144 | END DO |
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145 | END DO |
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146 | IF( ln_zps ) THEN ! set gradient at partial step level |
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147 | DO jj = 1, jpjm1 |
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148 | DO ji = 1, jpim1 |
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149 | IF( mbku(ji,jj) == jk ) ztutl(ji,jj,jk) = zeeu(ji,jj) * pgu_tl(ji,jj,jn) |
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150 | IF( mbkv(ji,jj) == jk ) ztvtl(ji,jj,jk) = zeev(ji,jj) * pgv_tl(ji,jj,jn) |
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151 | END DO |
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152 | END DO |
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153 | ENDIF |
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154 | |
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155 | ! Second derivative (divergence) |
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156 | DO jj = 2, jpjm1 |
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157 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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158 | zbtr = 1.0 / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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159 | zlttl(ji,jj) = fsahtt(ji,jj,jk) * zbtr * ( ztutl(ji,jj,jk) - ztutl(ji-1,jj,jk) & |
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160 | & + ztvtl(ji,jj,jk) - ztvtl(ji,jj-1,jk) ) |
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161 | END DO |
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162 | END DO |
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163 | |
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164 | ! Lateral boundary conditions on the laplacian (zlttl,zlstl) (unchanged sgn) |
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165 | CALL lbc_lnk( zlttl, 'T', 1.0_wp ) |
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166 | |
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167 | ! 2. Bilaplacian |
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168 | ! -------------- |
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169 | |
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170 | ! third derivative (gradient) |
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171 | DO jj = 1, jpjm1 |
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172 | DO ji = 1, fs_jpim1 ! vector opt. |
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173 | ztutl(ji,jj,jk) = zeeu(ji,jj) * ( zlttl(ji+1,jj ) - zlttl(ji,jj) ) |
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174 | ztvtl(ji,jj,jk) = zeev(ji,jj) * ( zlttl(ji ,jj+1) - zlttl(ji,jj) ) |
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175 | END DO |
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176 | END DO |
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177 | |
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178 | ! fourth derivative (divergence) and add to the general tracer trend |
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179 | DO jj = 2, jpjm1 |
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180 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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181 | ! horizontal diffusive trends |
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182 | zbtr = 1.0 / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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183 | ztatl = zbtr * ( ztutl(ji,jj,jk) - ztutl(ji-1,jj,jk) + ztvtl(ji,jj,jk) - ztvtl(ji,jj-1,jk) ) |
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184 | ! add it to the general tracer trends |
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185 | pta_tl(ji,jj,jk,jn) = pta_tl(ji,jj,jk,jn) + ztatl |
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186 | END DO |
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187 | END DO |
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188 | ! ! =============== |
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189 | END DO ! Horizontal slab |
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190 | ! ! =============== |
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191 | END DO |
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192 | IF( nn_timing == 1 ) CALL timing_stop( 'tra_ldf_bilap_tan') |
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193 | ! |
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194 | CALL wrk_dealloc( jpi, jpj, zeeu, zeev, zlttl ) |
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195 | CALL wrk_dealloc( jpi, jpj, jpk, ztutl, ztvtl ) |
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196 | ! |
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197 | END SUBROUTINE tra_ldf_bilap_tan |
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198 | |
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199 | |
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200 | SUBROUTINE tra_ldf_bilap_adj( kt, kit000, cdtype, pgu_ad, pgv_ad, & |
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201 | & ptb_ad, pta_ad, kjpt ) |
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202 | !!---------------------------------------------------------------------- |
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203 | !! *** ROUTINE tra_ldf_bilap *** |
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204 | !! |
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205 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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206 | !! trend and add it to the general trend of tracer equation. |
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207 | !! |
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208 | !! ** Method : 4th order diffusive operator along model level surfaces |
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209 | !! evaluated using before fields (forward time scheme). The hor. |
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210 | !! diffusive trends of temperature (idem for salinity) is given by: |
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211 | !! Laplacian of tb: |
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212 | !! zlt = 1/(e1t*e2t*e3t) { di-1[ e2u*e3u/e1u di(tb) ] |
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213 | !! + dj-1[ e1v*e3v/e2v dj(tb) ] } |
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214 | !! Multiply by the eddy diffusivity coef. and insure lateral bc: |
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215 | !! zlt = ahtt * zlt |
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216 | !! call to lbc_lnk |
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217 | !! Bilaplacian (laplacian of zlt): |
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218 | !! difft = 1/(e1t*e2t*e3t) { di-1[ e2u*e3u/e1u di(zlt) ] |
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219 | !! + dj-1[ e1v*e3v/e2v dj(zlt) ] } |
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220 | !! Note: if key_zco defined, e3t=e3u=e3v, they are simplified. |
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221 | !! |
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222 | !! Add this trend to the general trend (ta,sa): |
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223 | !! (ta,sa) = (ta,sa) + ( difft , diffs ) |
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224 | !! |
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225 | !! ** Action : - Update (ta,sa) arrays with the before iso-level |
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226 | !! biharmonic mixing trend. |
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227 | !! |
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228 | !! History : |
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229 | !! ! 91-11 (G. Madec) Original code |
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230 | !! ! 93-03 (M. Guyon) symetrical conditions |
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231 | !! ! 95-11 (G. Madec) suppress volumetric scale factors |
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232 | !! ! 96-01 (G. Madec) statement function for e3 |
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233 | !! ! 96-01 (M. Imbard) mpp exchange |
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234 | !! ! 97-07 (G. Madec) optimization, and ahtt |
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235 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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236 | !! 9.0 ! 04-08 (C. talandier) New trends organization |
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237 | !! ! 05-11 (G. Madec) zps or sco as default option |
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238 | !!---------------------------------------------------------------------- |
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239 | !! History of the tangent routine |
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240 | !! 9.0 ! 10-05 (P.A. Bouttier) tangent of 9.0 |
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241 | !!---------------------------------------------------------------------- |
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242 | !! * Modules used |
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243 | !! * Arguments |
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244 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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245 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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246 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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247 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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248 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT(inout) :: pgu_ad, pgv_ad ! tracer gradient at pstep levels |
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249 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: ptb_ad ! before and now tracer fields |
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250 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta_ad ! tracer trend |
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251 | |
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252 | !! * Local declarations |
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253 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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254 | INTEGER :: iku, ikv ! temporary integers |
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255 | REAL(wp) :: ztaad, zsaad, ztmp, zbtr ! temporary scalars |
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256 | REAL(wp), POINTER, DIMENSION(:,:) :: & |
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257 | zeeu, zeev, & ! 2D workspace |
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258 | zltad |
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259 | REAL(wp), POINTER, DIMENSION(:,:,:) :: & |
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260 | ztuad, ztvad ! 3D workspace |
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261 | !!---------------------------------------------------------------------- |
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262 | ! |
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263 | IF( nn_timing == 1 ) CALL timing_start( 'tra_ldf_bilap_adj') |
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264 | ! |
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265 | CALL wrk_alloc( jpi, jpj, zeeu, zeev, zltad ) |
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266 | CALL wrk_alloc( jpi, jpj, jpk, ztuad, ztvad ) |
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267 | ! |
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268 | IF( kt == nit000 ) THEN |
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269 | IF(lwp) WRITE(numout,*) |
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270 | IF(lwp) WRITE(numout,*) 'tra_ldf_bilap_adj : iso-level biharmonic operator on ', cdtype |
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271 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~' |
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272 | ENDIF |
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273 | ztaad = 0.e0_wp |
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274 | zsaad = 0.e0_wp |
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275 | ztuad = 0.e0_wp |
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276 | ztvad = 0.e0_wp |
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277 | |
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278 | DO jn = 1, kjpt |
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279 | DO jk = jpkm1, 1, -1 |
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280 | ! 0. Initialization of metric arrays (for z- or s-coordinates) |
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281 | ! ---------------------------------- |
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282 | DO jj = jpjm1, 1, -1 |
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283 | DO ji = fs_jpim1, 1 ,-1 ! vector opt. |
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284 | zeeu(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) * umask(ji,jj,jk) |
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285 | zeev(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) * vmask(ji,jj,jk) |
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286 | END DO |
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287 | END DO |
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288 | ! |
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289 | ! 2. Bilaplacian |
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290 | ! -------------- |
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291 | ! fourth derivative (divergence) and add to the general tracer trend |
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292 | DO jj = jpjm1, 2, -1 |
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293 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
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294 | zbtr = 1.0 / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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295 | ! add it to the general tracer trends |
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296 | ztaad = pta_ad(ji,jj,jk,jn) * zbtr |
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297 | ! horizontal diffusive trends |
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298 | ztuad(ji ,jj ,jk) = ztuad(ji ,jj ,jk) + ztaad |
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299 | ztuad(ji-1,jj ,jk) = ztuad(ji-1,jj ,jk) - ztaad |
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300 | ztvad(ji ,jj ,jk) = ztvad(ji ,jj ,jk) + ztaad |
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301 | ztvad(ji ,jj-1,jk) = ztvad(ji ,jj-1,jk) - ztaad |
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302 | END DO |
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303 | END DO |
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304 | |
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305 | ! third derivative (gradient) |
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306 | DO jj = jpjm1, 1, -1 |
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307 | DO ji = fs_jpim1, 1 ,-1 ! vector opt. |
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308 | ztmp = zeev(ji,jj) * ztvad(ji,jj,jk) |
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309 | zltad(ji ,jj+1) = zltad(ji ,jj+1) + ztmp |
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310 | zltad(ji ,jj ) = zltad(ji ,jj ) - ztmp |
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311 | ztmp = zeeu(ji,jj) * ztuad(ji,jj,jk) |
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312 | zltad(ji+1,jj ) = zltad(ji+1,jj ) + ztmp |
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313 | zltad(ji ,jj ) = zltad(ji ,jj ) - ztmp |
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314 | ztuad(ji ,jj ,jk) = 0.0_wp |
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315 | ztvad(ji ,jj ,jk) = 0.0_wp |
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316 | END DO |
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317 | END DO |
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318 | ! Lateral boundary conditions on the laplacian (zltad,zlsad) (unchanged sgn) |
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319 | CALL lbc_lnk_adj( zltad, 'T', 1.0_wp ) |
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320 | ! Multiply by the eddy diffusivity coefficient |
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321 | DO jj = jpjm1, 2, -1 |
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322 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
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323 | zltad(ji,jj) = fsahtt(ji,jj,jk) * zltad(ji,jj) |
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324 | END DO |
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325 | END DO |
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326 | ! Second derivative (divergence) |
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327 | DO jj = jpjm1, 2, -1 |
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328 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
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329 | zbtr = 1.0 / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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330 | ztmp = zbtr * zltad(ji,jj) |
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331 | ztvad(ji ,jj-1,jk) = ztvad(ji ,jj-1,jk) - ztmp |
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332 | ztvad(ji ,jj ,jk) = ztvad(ji ,jj ,jk) + ztmp |
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333 | ztuad(ji-1,jj ,jk) = ztuad(ji-1,jj ,jk) - ztmp |
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334 | ztuad(ji ,jj ,jk) = ztuad(ji ,jj ,jk) + ztmp |
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335 | zltad(ji,jj) = 0.0_wp |
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336 | END DO |
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337 | END DO |
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338 | IF( ln_zps ) THEN ! set gradient at partial step level |
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339 | DO jj = jpjm1, 1, -1 |
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340 | DO ji = fs_jpim1, 1 ,-1 ! vector opt. |
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341 | ! last level |
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342 | IF( mbku(ji,jj) == jk ) THEN |
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343 | pgu_ad(ji,jj,jn) = pgu_ad(ji,jj,jn) + zeeu(ji,jj) * ztuad(ji,jj,jk) |
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344 | ztuad(ji,jj,jk) = 0.0_wp |
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345 | ENDIF |
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346 | IF( mbkv(ji,jj) == jk ) THEN |
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347 | pgv_ad(ji,jj,jn) = pgv_ad(ji,jj,jn) + zeev(ji,jj) * ztvad(ji,jj,jk) |
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348 | ztvad(ji,jj,jk) = 0.0_wp |
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349 | ENDIF |
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350 | END DO |
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351 | END DO |
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352 | ENDIF |
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353 | ! 1. Laplacian |
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354 | ! ------------ |
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355 | |
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356 | ! First derivative (gradient) |
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357 | DO jj = jpjm1, 1, -1 |
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358 | DO ji = fs_jpim1, 1 ,-1 ! vector opt. |
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359 | ztmp = zeev(ji,jj) * ztvad(ji,jj,jk) |
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360 | ptb_ad(ji ,jj ,jk,jn) = ptb_ad(ji ,jj ,jk,jn) - ztmp |
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361 | ptb_ad(ji ,jj+1,jk,jn) = ptb_ad(ji ,jj+1,jk,jn) + ztmp |
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362 | ztmp = zeeu(ji,jj) * ztuad(ji,jj,jk) |
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363 | ptb_ad(ji ,jj ,jk,jn) = ptb_ad(ji ,jj ,jk,jn) - ztmp |
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364 | ptb_ad(ji+1,jj ,jk,jn) = ptb_ad(ji+1,jj ,jk,jn) + ztmp |
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365 | ztuad(ji,jj,jk) = 0.0_wp |
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366 | ztvad(ji,jj,jk) = 0.0_wp |
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367 | END DO |
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368 | END DO |
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369 | END DO |
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370 | END DO |
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371 | ! |
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372 | CALL wrk_dealloc( jpi, jpj, zeeu, zeev, zltad ) |
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373 | CALL wrk_dealloc( jpi, jpj, jpk, ztuad, ztvad ) |
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374 | ! |
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375 | IF( nn_timing == 1 ) CALL timing_stop( 'tra_ldf_bilap_adj') |
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376 | ! |
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377 | END SUBROUTINE tra_ldf_bilap_adj |
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378 | |
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379 | SUBROUTINE tra_ldf_bilap_adj_tst ( kumadt ) |
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380 | !!----------------------------------------------------------------------- |
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381 | !! |
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382 | !! *** ROUTINE example_adj_tst *** |
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383 | !! |
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384 | !! ** Purpose : Test the adjoint routine. |
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385 | !! |
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386 | !! ** Method : Verify the scalar product |
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387 | !! |
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388 | !! ( L dx )^T W dy = dx^T L^T W dy |
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389 | !! |
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390 | !! where L = tangent routine |
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391 | !! L^T = adjoint routine |
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392 | !! W = diagonal matrix of scale factors |
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393 | !! dx = input perturbation (random field) |
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394 | !! dy = L dx |
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395 | !! |
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396 | !! History : |
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397 | !! ! 08-08 (A. Vidard) |
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398 | !!----------------------------------------------------------------------- |
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399 | !! * Modules used |
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400 | |
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401 | !! * Arguments |
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402 | INTEGER, INTENT(IN) :: & |
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403 | & kumadt ! Output unit |
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404 | |
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405 | !! * Local declarations |
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406 | INTEGER :: & |
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407 | & ji, & ! dummy loop indices |
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408 | & jj, & |
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409 | & jk |
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410 | INTEGER, DIMENSION(jpi,jpj) :: & |
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411 | & iseed_2d ! 2D seed for the random number generator |
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412 | REAL(KIND=wp) :: & |
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413 | & zsp1, & ! scalar product involving the tangent routine |
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414 | & zsp1_T, & |
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415 | & zsp1_S, & |
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416 | & zsp2, & ! scalar product involving the adjoint routine |
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417 | & zsp2_1, & |
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418 | & zsp2_2, & |
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419 | & zsp2_3, & |
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420 | & zsp2_4, & |
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421 | & zsp2_5, & |
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422 | & zsp2_6, & |
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423 | & zsp2_7, & |
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424 | & zsp2_8, & |
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425 | & zsp2_T, & |
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426 | & zsp2_S |
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427 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
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428 | & ztb_tlin , & ! Tangent input |
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429 | & zsb_tlin , & ! Tangent input |
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430 | & zta_tlin , & ! Tangent input |
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431 | & zsa_tlin , & ! Tangent input |
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432 | & zta_tlout, & ! Tangent output |
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433 | & zsa_tlout, & ! Tangent output |
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434 | & zta_adin, & ! Adjoint input |
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435 | & zsa_adin, & ! Adjoint input |
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436 | & ztb_adout , & ! Adjoint output |
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437 | & zsb_adout , & ! Adjoint output |
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438 | & zta_adout , & ! Adjoint output |
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439 | & zsa_adout , & ! Adjoint output |
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440 | & z3r ! 3D random field |
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441 | REAL(KIND=wp), DIMENSION(:,:), ALLOCATABLE :: & |
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442 | & zgtu_tlin , & ! Tangent input |
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443 | & zgsu_tlin , & ! Tangent input |
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444 | & zgtv_tlin , & ! Tangent input |
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445 | & zgsv_tlin , & ! Tangent input |
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446 | & zgtu_adout , & ! Adjoint output |
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447 | & zgsu_adout , & ! Adjoint output |
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448 | & zgtv_adout , & ! Adjoint output |
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449 | & zgsv_adout , & ! Adjoint output |
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450 | & z2r ! 2D random field |
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451 | CHARACTER(LEN=14) :: cl_name |
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452 | ! Allocate memory |
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453 | |
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454 | ALLOCATE( & |
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455 | & ztb_tlin(jpi,jpj,jpk), & |
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456 | & zsb_tlin(jpi,jpj,jpk), & |
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457 | & zta_tlin(jpi,jpj,jpk), & |
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458 | & zsa_tlin(jpi,jpj,jpk), & |
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459 | & zgtu_tlin(jpi,jpj), & |
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460 | & zgsu_tlin(jpi,jpj), & |
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461 | & zgtv_tlin(jpi,jpj), & |
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462 | & zgsv_tlin(jpi,jpj), & |
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463 | & zta_tlout(jpi,jpj,jpk), & |
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464 | & zsa_tlout(jpi,jpj,jpk), & |
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465 | & zta_adin(jpi,jpj,jpk), & |
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466 | & zsa_adin(jpi,jpj,jpk), & |
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467 | & ztb_adout(jpi,jpj,jpk), & |
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468 | & zsb_adout(jpi,jpj,jpk), & |
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469 | & zta_adout(jpi,jpj,jpk), & |
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470 | & zsa_adout(jpi,jpj,jpk), & |
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471 | & zgtu_adout(jpi,jpj), & |
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472 | & zgsu_adout(jpi,jpj), & |
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473 | & zgtv_adout(jpi,jpj), & |
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474 | & zgsv_adout(jpi,jpj), & |
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475 | & z3r(jpi,jpj,jpk), & |
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476 | & z2r(jpi,jpj) & |
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477 | & ) |
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478 | |
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479 | |
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480 | !======================================================================= |
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481 | ! 1) dx = ( tb_tl, ta_tl, sb_tl, sa_tl, gtu_tl, gtv_tl, gsu_tl, gsv_tl ) |
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482 | ! dy = ( ta_tl, sa_tl ) |
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483 | !======================================================================= |
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484 | |
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485 | !-------------------------------------------------------------------- |
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486 | ! Reset the tangent and adjoint variables |
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487 | !-------------------------------------------------------------------- |
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488 | |
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489 | ztb_tlin(:,:,:) = 0.0_wp |
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490 | zsb_tlin(:,:,:) = 0.0_wp |
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491 | zta_tlin(:,:,:) = 0.0_wp |
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492 | zsa_tlin(:,:,:) = 0.0_wp |
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493 | zgtu_tlin(:,:) = 0.0_wp |
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494 | zgsu_tlin(:,:) = 0.0_wp |
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495 | zgtv_tlin(:,:) = 0.0_wp |
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496 | zgsv_tlin(:,:) = 0.0_wp |
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497 | zta_tlout(:,:,:) = 0.0_wp |
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498 | zsa_tlout(:,:,:) = 0.0_wp |
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499 | zta_adin(:,:,:) = 0.0_wp |
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500 | zsa_adin(:,:,:) = 0.0_wp |
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501 | ztb_adout(:,:,:) = 0.0_wp |
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502 | zsb_adout(:,:,:) = 0.0_wp |
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503 | zta_adout(:,:,:) = 0.0_wp |
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504 | zsa_adout(:,:,:) = 0.0_wp |
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505 | zgtu_adout(:,:) = 0.0_wp |
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506 | zgsu_adout(:,:) = 0.0_wp |
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507 | zgtv_adout(:,:) = 0.0_wp |
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508 | zgsv_adout(:,:) = 0.0_wp |
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509 | |
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510 | tsb_tl(:,:,:,:) = 0.0_wp |
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511 | tsa_tl(:,:,:,:) = 0.0_wp |
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512 | gtsu_tl(:,:,:) = 0.0_wp |
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513 | gtsv_tl(:,:,:) = 0.0_wp |
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514 | tsb_ad(:,:,:,:) = 0.0_wp |
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515 | tsa_ad(:,:,:,:) = 0.0_wp |
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516 | gtsu_ad(:,:,:) = 0.0_wp |
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517 | gtsv_ad(:,:,:) = 0.0_wp |
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518 | |
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519 | !-------------------------------------------------------------------- |
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520 | ! Initialize the tangent input with random noise: dx |
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521 | !-------------------------------------------------------------------- |
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522 | |
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523 | CALL grid_random( z3r, 'T', 0.0_wp, stdt ) |
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524 | DO jk = 1, jpk |
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525 | DO jj = nldj, nlej |
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526 | DO ji = nldi, nlei |
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527 | ztb_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
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528 | END DO |
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529 | END DO |
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530 | END DO |
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531 | |
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532 | CALL grid_random( z3r, 'T', 0.0_wp, stds ) |
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533 | DO jk = 1, jpk |
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534 | DO jj = nldj, nlej |
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535 | DO ji = nldi, nlei |
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536 | zsb_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
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537 | END DO |
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538 | END DO |
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539 | END DO |
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540 | |
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541 | CALL grid_random( z3r, 'T', 0.0_wp, stdt ) |
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542 | DO jk = 1, jpk |
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543 | DO jj = nldj, nlej |
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544 | DO ji = nldi, nlei |
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545 | zta_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
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546 | END DO |
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547 | END DO |
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548 | END DO |
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549 | |
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550 | CALL grid_random( z3r, 'T', 0.0_wp, stds ) |
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551 | DO jk = 1, jpk |
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552 | DO jj = nldj, nlej |
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553 | DO ji = nldi, nlei |
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554 | zsa_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
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555 | END DO |
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556 | END DO |
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557 | END DO |
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558 | |
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559 | CALL grid_random( z2r, 'U', 0.0_wp, stds ) |
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560 | DO jj = nldj, nlej |
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561 | DO ji = nldi, nlei |
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562 | zgtu_tlin(ji,jj) = z2r(ji,jj) |
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563 | END DO |
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564 | END DO |
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565 | |
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566 | CALL grid_random( z2r, 'U', 0.0_wp, stds ) |
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567 | DO jj = nldj, nlej |
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568 | DO ji = nldi, nlei |
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569 | zgsu_tlin(ji,jj) = z2r(ji,jj) |
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570 | END DO |
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571 | END DO |
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572 | |
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573 | CALL grid_random( z2r, 'V', 0.0_wp, stds ) |
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574 | DO jj = nldj, nlej |
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575 | DO ji = nldi, nlei |
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576 | zgtv_tlin(ji,jj) = z2r(ji,jj) |
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577 | END DO |
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578 | END DO |
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579 | |
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580 | CALL grid_random( z2r, 'V', 0.0_wp, stds ) |
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581 | DO jj = nldj, nlej |
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582 | DO ji = nldi, nlei |
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583 | zgsv_tlin(ji,jj) = z2r(ji,jj) |
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584 | END DO |
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585 | END DO |
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586 | |
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587 | tsb_tl(:,:,:,jp_tem) = ztb_tlin(:,:,:) |
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588 | tsb_tl(:,:,:,jp_sal) = zsb_tlin(:,:,:) |
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589 | tsa_tl(:,:,:,jp_tem) = zta_tlin(:,:,:) |
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590 | tsa_tl(:,:,:,jp_sal) = zsa_tlin(:,:,:) |
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591 | gtsu_tl(:,:,jp_tem) = zgtu_tlin(:,:) |
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592 | gtsu_tl(:,:,jp_sal) = zgsu_tlin(:,:) |
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593 | gtsv_tl(:,:,jp_tem) = zgtv_tlin(:,:) |
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594 | gtsv_tl(:,:,jp_sal) = zgsv_tlin(:,:) |
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595 | |
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596 | CALL tra_ldf_bilap_tan( nit000, nit000, 'TRA', gtsu_tl, gtsv_tl,tsb_tl, tsa_tl, jpts ) |
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597 | |
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598 | zta_tlout(:,:,:) = tsa_tl(:,:,:,jp_tem) |
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599 | zsa_tlout(:,:,:) = tsa_tl(:,:,:,jp_sal) |
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600 | |
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601 | !-------------------------------------------------------------------- |
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602 | ! Initialize the adjoint variables: dy^* = W dy |
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603 | !-------------------------------------------------------------------- |
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604 | |
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605 | DO jk = 1, jpk |
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606 | DO jj = nldj, nlej |
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607 | DO ji = nldi, nlei |
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608 | zsa_adin(ji,jj,jk) = zsa_tlout(ji,jj,jk) & |
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609 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
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610 | & * tmask(ji,jj,jk) * wesp_s(jk) |
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611 | zta_adin(ji,jj,jk) = zta_tlout(ji,jj,jk) & |
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612 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
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613 | & * tmask(ji,jj,jk) * wesp_t(jk) |
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614 | END DO |
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615 | END DO |
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616 | END DO |
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617 | |
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618 | !-------------------------------------------------------------------- |
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619 | ! Compute the scalar product: ( L dx )^T W dy |
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620 | !------------------------------------------------------------------- |
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621 | |
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622 | zsp1_T = DOT_PRODUCT( zta_tlout, zta_adin ) |
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623 | zsp1_S = DOT_PRODUCT( zsa_tlout, zsa_adin ) |
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624 | zsp1 = zsp1_T + zsp1_S |
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625 | |
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626 | !-------------------------------------------------------------------- |
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627 | ! Call the adjoint routine: dx^* = L^T dy^* |
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628 | !-------------------------------------------------------------------- |
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629 | |
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630 | tsa_ad(:,:,:,jp_tem) = zta_adin(:,:,:) |
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631 | tsa_ad(:,:,:,jp_sal) = zsa_adin(:,:,:) |
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632 | |
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633 | CALL tra_ldf_bilap_adj( nit000 , nit000, 'TRA', gtsu_ad, gtsv_ad,tsb_ad, tsa_ad, jpts) |
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634 | |
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635 | ztb_adout(:,:,:) = tsb_ad(:,:,:,jp_tem) |
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636 | zsb_adout(:,:,:) = tsb_ad(:,:,:,jp_sal) |
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637 | zta_adout(:,:,:) = tsa_ad(:,:,:,jp_tem) |
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638 | zsa_adout(:,:,:) = tsa_ad(:,:,:,jp_sal) |
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639 | zgtu_adout(:,:) = gtsu_ad(:,:,jp_tem) |
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640 | zgsu_adout(:,:) = gtsu_ad(:,:,jp_sal) |
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641 | zgtv_adout(:,:) = gtsv_ad(:,:,jp_tem) |
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642 | zgsv_adout(:,:) = gtsv_ad(:,:,jp_sal) |
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643 | |
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644 | zsp2_1 = DOT_PRODUCT( ztb_tlin , ztb_adout ) |
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645 | zsp2_2 = DOT_PRODUCT( zta_tlin , zta_adout ) |
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646 | zsp2_3 = DOT_PRODUCT( zgtu_tlin, zgtu_adout ) |
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647 | zsp2_4 = DOT_PRODUCT( zgtv_tlin, zgtv_adout ) |
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648 | zsp2_5 = DOT_PRODUCT( zsb_tlin , zsb_adout ) |
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649 | zsp2_6 = DOT_PRODUCT( zsa_tlin , zsa_adout ) |
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650 | zsp2_7 = DOT_PRODUCT( zgsu_tlin, zgsu_adout ) |
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651 | zsp2_8 = DOT_PRODUCT( zgsv_tlin, zgsv_adout ) |
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652 | |
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653 | zsp2_T = zsp2_1 + zsp2_2 + zsp2_3 + zsp2_4 |
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654 | zsp2_S = zsp2_5 + zsp2_6 + zsp2_7 + zsp2_8 |
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655 | zsp2 = zsp2_T + zsp2_S |
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656 | |
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657 | cl_name = 'tra_ldf_bilap' |
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658 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
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659 | |
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660 | DEALLOCATE( & |
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661 | & ztb_tlin, & ! Tangent input |
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662 | & zsb_tlin, & ! Tangent input |
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663 | & zta_tlin, & ! Tangent input |
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664 | & zsa_tlin, & ! Tangent input |
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665 | & zgtu_tlin, & ! Tangent input |
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666 | & zgsu_tlin, & ! Tangent input |
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667 | & zgtv_tlin, & ! Tangent input |
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668 | & zgsv_tlin, & ! Tangent input |
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669 | & zta_tlout, & ! Tangent output |
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670 | & zsa_tlout, & ! Tangent output |
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671 | & zta_adin, & ! Adjoint input |
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672 | & zsa_adin, & ! Adjoint input |
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673 | & ztb_adout, & ! Adjoint output |
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674 | & zsb_adout, & ! Adjoint output |
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675 | & zta_adout, & ! Adjoint output |
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676 | & zsa_adout, & ! Adjoint output |
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677 | & zgtu_adout, & ! Adjoint output |
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678 | & zgsu_adout, & ! Adjoint output |
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679 | & zgtv_adout, & ! Adjoint output |
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680 | & zgsv_adout, & ! Adjoint output |
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681 | & z3r, & ! 3D random field |
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682 | & z2r & |
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683 | & ) |
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684 | |
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685 | |
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686 | END SUBROUTINE tra_ldf_bilap_adj_tst |
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687 | |
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688 | #endif |
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689 | END MODULE traldf_bilap_tam |
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