1 | MODULE traldf_iso_tam |
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2 | #if defined key_tam |
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3 | !!====================================================================== |
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4 | !! *** MODULE traldf_iso_tam *** |
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5 | !! Ocean active tracers: horizontal component of the lateral tracer mixing trend |
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6 | !! Tangent and adjoint module |
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7 | !!====================================================================== |
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8 | !! History of the direct module: |
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9 | !! ! 94-08 (G. Madec, M. Imbard) |
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10 | !! ! 97-05 (G. Madec) split into traldf and trazdf |
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11 | !! 8.5 ! 02-08 (G. Madec) Free form, F90 |
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12 | !! 9.0 ! 05-11 (G. Madec) merge traldf and trazdf :-) |
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13 | !! History of the T&A module: |
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14 | !! 9.0 ! 2008-12 (A. Vidard) original version |
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15 | !! - ! 2009-01 (A. Weaver) misc. bug fixes |
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16 | !! NEMO 3.2 ! 2010-04 (F. Vigilant) 3.2 version |
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17 | !! NEMO 3.4 ! 2012-07 (P.-A. Bouttier) 3.4 version |
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18 | !!---------------------------------------------------------------------- |
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19 | # if defined key_ldfslp || defined key_esopa |
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20 | !!---------------------------------------------------------------------- |
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21 | !! 'key_ldfslp' slope of the lateral diffusive direction |
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22 | !!---------------------------------------------------------------------- |
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23 | !!---------------------------------------------------------------------- |
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24 | !! tra_ldf_iso : update the tracer trend with the horizontal |
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25 | !! component of a iso-neutral laplacian operator |
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26 | !! and with the vertical part of |
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27 | !! the isopycnal or geopotential s-coord. operator |
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28 | !!---------------------------------------------------------------------- |
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29 | USE par_oce |
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30 | USE oce_tam |
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31 | USE dom_oce |
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32 | USE ldftra_oce |
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33 | ! USE zdf_oce ! ocean vertical physics |
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34 | USE in_out_manager |
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35 | USE ldfslp |
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36 | USE gridrandom |
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37 | USE dotprodfld |
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38 | USE tstool_tam |
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39 | USE paresp |
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40 | USE wrk_nemo ! Memory Allocation |
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41 | USE timing ! Timing |
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42 | USE trc_oce |
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43 | |
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44 | IMPLICIT NONE |
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45 | PRIVATE |
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46 | |
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47 | PUBLIC tra_ldf_iso_tan ! routine called by tralfd_tam.F90 |
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48 | PUBLIC tra_ldf_iso_adj ! routine called by traldf_tam.F90 |
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49 | PUBLIC tra_ldf_iso_adj_tst ! routine called by traldf_tam.F90 |
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50 | |
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51 | !! * Substitutions |
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52 | # include "domzgr_substitute.h90" |
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53 | # include "ldftra_substitute.h90" |
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54 | # include "vectopt_loop_substitute.h90" |
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55 | !!---------------------------------------------------------------------- |
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56 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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57 | !!---------------------------------------------------------------------- |
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58 | |
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59 | CONTAINS |
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60 | |
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61 | SUBROUTINE tra_ldf_iso_tan( kt, kit000, cdtype, pgu_tl, pgv_tl, & |
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62 | & ptb_tl, pta_tl, kjpt, pahtb0 ) |
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63 | !!---------------------------------------------------------------------- |
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64 | !! *** ROUTINE tra_ldf_iso_tan *** |
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65 | !! |
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66 | !! ** Purpose of the direct routine: |
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67 | !! Compute the before horizontal tracer (t & s) diffusive |
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68 | !! trend for a laplacian tensor (ezxcept the dz[ dz[.] ] term) and |
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69 | !! add it to the general trend of tracer equation. |
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70 | !! |
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71 | !! ** Method of the direct routine: |
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72 | !! The horizontal component of the lateral diffusive trends |
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73 | !! is provided by a 2nd order operator rotated along neural or geopo- |
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74 | !! tential surfaces to which an eddy induced advection can be added |
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75 | !! It is computed using before fields (forward in time) and isopyc- |
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76 | !! nal or geopotential slopes computed in routine ldfslp. |
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77 | !! |
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78 | !! 1st part : masked horizontal derivative of T & S ( di[ t ] ) |
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79 | !! ======== with partial cell update if ln_zps=T. |
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80 | !! |
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81 | !! 2nd part : horizontal fluxes of the lateral mixing operator |
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82 | !! ======== |
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83 | !! zftu = (aht+ahtb0) e2u*e3u/e1u di[ tb ] |
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84 | !! - aht e2u*uslp dk[ mi(mk(tb)) ] |
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85 | !! zftv = (aht+ahtb0) e1v*e3v/e2v dj[ tb ] |
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86 | !! - aht e2u*vslp dk[ mj(mk(tb)) ] |
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87 | !! take the horizontal divergence of the fluxes: |
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88 | !! difft = 1/(e1t*e2t*e3t) { di-1[ zftu ] + dj-1[ zftv ] } |
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89 | !! Add this trend to the general trend (ta,sa): |
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90 | !! ta = ta + difft |
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91 | !! |
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92 | !! 3rd part: vertical trends of the lateral mixing operator |
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93 | !! ======== (excluding the vertical flux proportional to dk[t] ) |
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94 | !! vertical fluxes associated with the rotated lateral mixing: |
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95 | !! zftw =-aht { e2t*wslpi di[ mi(mk(tb)) ] |
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96 | !! + e1t*wslpj dj[ mj(mk(tb)) ] } |
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97 | !! take the horizontal divergence of the fluxes: |
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98 | !! difft = 1/(e1t*e2t*e3t) dk[ zftw ] |
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99 | !! Add this trend to the general trend (ta,sa): |
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100 | !! ta = ta + difft |
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101 | !! |
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102 | !! ** Action : Update (ta,sa) arrays with the before rotated diffusion |
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103 | !! trend (except the dk[ dk[.] ] term) |
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104 | !!---------------------------------------------------------------------- |
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105 | |
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106 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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107 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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108 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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109 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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110 | REAL(wp), DIMENSION(jpi,jpj ,kjpt), INTENT(in ) :: pgu_tl, pgv_tl ! tracer gradient at pstep levels |
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111 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb_tl ! before and now tracer fields |
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112 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta_tl ! tracer trend |
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113 | REAL(wp) , INTENT(in ) :: pahtb0 ! background diffusion coef |
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114 | !! |
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115 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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116 | INTEGER :: iku, ikv ! temporary integer |
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117 | REAL(wp) :: zmsku, zabe1, zcof1, zcoef3, ztatl ! temporary scalars |
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118 | REAL(wp) :: zmskv, zabe2, zcof2, zcoef4, zsatl ! " " |
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119 | REAL(wp) :: zcoef0, zbtr ! " " |
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120 | REAL(wp), POINTER, DIMENSION(:,:) :: zdkttl , zdk1ttl, zftutl, zftvtl ! 2D workspace |
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121 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zdittl, zdjttl, ztfwtl ! 3D workspace |
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122 | !!---------------------------------------------------------------------- |
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123 | ! |
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124 | IF( nn_timing == 1 ) CALL timing_start('tra_ldf_iso_tan') |
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125 | ! |
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126 | CALL wrk_alloc( jpi, jpj, zdkttl, zdk1ttl, zftutl, zftvtl ) |
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127 | CALL wrk_alloc( jpi, jpj, jpk, zdittl, zdjttl, ztfwtl ) |
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128 | ! |
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129 | IF( kt == nit000 ) THEN |
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130 | IF(lwp) WRITE(numout,*) |
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131 | IF(lwp) WRITE(numout,*) 'tra_ldf_iso_tan : rotated laplacian diffusion operator on ', cdtype |
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132 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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133 | ENDIF |
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134 | |
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135 | DO jn = 1, kjpt |
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136 | !!---------------------------------------------------------------------- |
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137 | !! I - masked horizontal derivative of T & S |
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138 | !!---------------------------------------------------------------------- |
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139 | !!bug ajout.... why? ( 1,jpj,:) and (jpi,1,:) should be sufficient.... |
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140 | zdittl (1,:,:) = 0.e0 ; zdittl (jpi,:,:) = 0.e0 |
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141 | zdjttl (1,:,:) = 0.e0 ; zdjttl (jpi,:,:) = 0.e0 |
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142 | !!end |
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143 | |
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144 | ! Horizontal temperature and salinity gradient |
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145 | DO jk = 1, jpkm1 |
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146 | DO jj = 1, jpjm1 |
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147 | DO ji = 1, fs_jpim1 ! vector opt. |
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148 | zdittl(ji,jj,jk) = ( ptb_tl(ji+1,jj ,jk, jn) - ptb_tl(ji,jj,jk, jn) ) * umask(ji,jj,jk) |
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149 | zdjttl(ji,jj,jk) = ( ptb_tl(ji ,jj+1,jk, jn) - ptb_tl(ji,jj,jk, jn) ) * vmask(ji,jj,jk) |
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150 | END DO |
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151 | END DO |
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152 | END DO |
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153 | IF( ln_zps ) THEN ! partial steps correction at the last level |
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154 | DO jj = 1, jpjm1 |
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155 | DO ji = 1, fs_jpim1 ! vector opt. |
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156 | ! last level |
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157 | zdittl(ji,jj,mbku(ji,jj)) = pgu_tl(ji,jj,jn) |
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158 | zdjttl(ji,jj,mbkv(ji,jj)) = pgv_tl(ji,jj,jn) |
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159 | END DO |
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160 | END DO |
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161 | ENDIF |
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162 | |
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163 | !!---------------------------------------------------------------------- |
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164 | !! II - horizontal trend of T & S (full) |
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165 | !!---------------------------------------------------------------------- |
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166 | |
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167 | ! ! =============== |
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168 | DO jk = 1, jpkm1 ! Horizontal slab |
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169 | ! ! =============== |
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170 | ! 1. Vertical tracer gradient at level jk and jk+1 |
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171 | ! ------------------------------------------------ |
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172 | ! surface boundary condition: zdkt(jk=1)=zdkt(jk=2) |
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173 | |
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174 | zdk1ttl(:,:) = ( ptb_tl(:,:,jk,jn) - ptb_tl(:,:,jk+1,jn) ) * tmask(:,:,jk+1) |
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175 | |
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176 | IF( jk == 1 ) THEN |
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177 | zdkttl(:,:) = zdk1ttl(:,:) |
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178 | ELSE |
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179 | zdkttl(:,:) = ( ptb_tl(:,:,jk-1,jn) - ptb_tl(:,:,jk,jn) ) * tmask(:,:,jk) |
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180 | ENDIF |
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181 | |
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182 | ! 2. Horizontal fluxes |
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183 | ! -------------------- |
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184 | |
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185 | DO jj = 1 , jpjm1 |
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186 | DO ji = 1, fs_jpim1 ! vector opt. |
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187 | |
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188 | zabe1 = ( fsahtu(ji,jj,jk) + pahtb0 ) * e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) |
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189 | zabe2 = ( fsahtv(ji,jj,jk) + pahtb0 ) * e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) |
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190 | |
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191 | zmsku = 1.0_wp / MAX( tmask(ji+1,jj,jk ) + tmask(ji,jj,jk+1) & |
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192 | & + tmask(ji+1,jj,jk+1) + tmask(ji,jj,jk ), 1.0_wp ) |
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193 | |
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194 | zmskv = 1.0_wp / MAX( tmask(ji,jj+1,jk ) + tmask(ji,jj,jk+1) & |
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195 | & + tmask(ji,jj+1,jk+1) + tmask(ji,jj,jk ), 1.0_wp ) |
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196 | |
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197 | ! *** NOTE *** uslp() and vslp() are not linearized. |
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198 | |
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199 | zcof1 = -fsahtu(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku |
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200 | zcof2 = -fsahtv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv |
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201 | |
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202 | zftutl(ji,jj) = ( zabe1 * zdittl(ji,jj,jk) & |
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203 | & + zcof1 * ( zdkttl (ji+1,jj) + zdk1ttl(ji,jj) & |
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204 | & + zdk1ttl(ji+1,jj) + zdkttl (ji,jj) ) ) * umask(ji,jj,jk) |
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205 | zftvtl(ji,jj) = ( zabe2 * zdjttl(ji,jj,jk) & |
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206 | & + zcof2 * ( zdkttl (ji,jj+1) + zdk1ttl(ji,jj) & |
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207 | & + zdk1ttl(ji,jj+1) + zdkttl (ji,jj) ) ) * vmask(ji,jj,jk) |
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208 | END DO |
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209 | END DO |
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210 | |
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211 | |
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212 | ! II.4 Second derivative (divergence) and add to the general trend |
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213 | ! ---------------------------------------------------------------- |
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214 | DO jj = 2 , jpjm1 |
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215 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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216 | zbtr= 1.0_wp / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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217 | ztatl = zbtr * ( zftutl(ji,jj) - zftutl(ji-1,jj ) & |
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218 | & + zftvtl(ji,jj) - zftvtl(ji ,jj-1) ) |
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219 | pta_tl(ji,jj,jk,jn) = pta_tl(ji,jj,jk,jn) + ztatl |
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220 | END DO |
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221 | END DO |
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222 | ! ! =============== |
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223 | END DO ! End of slab |
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224 | ! ! =============== |
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225 | |
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226 | !!---------------------------------------------------------------------- |
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227 | !! III - vertical trend of T & S (extra diagonal terms only) |
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228 | !!---------------------------------------------------------------------- |
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229 | |
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230 | ! Local constant initialization |
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231 | ! ----------------------------- |
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232 | ztfwtl(1,:,:) = 0.0_wp ; ztfwtl(jpi,:,:) = 0.0_wp |
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233 | |
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234 | |
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235 | ! Vertical fluxes |
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236 | ! --------------- |
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237 | |
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238 | ! Surface and bottom vertical fluxes set to zero |
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239 | ztfwtl(:,:, 1 ) = 0.0_wp ; ztfwtl(:,:,jpk) = 0.0_wp |
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240 | |
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241 | ! interior (2=<jk=<jpk-1) |
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242 | DO jk = 2, jpkm1 |
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243 | DO jj = 2, jpjm1 |
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244 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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245 | zcoef0 = - fsahtw(ji,jj,jk) * tmask(ji,jj,jk) |
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246 | |
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247 | zmsku = 1.0_wp / MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
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248 | & + umask(ji-1,jj,jk-1) + umask(ji ,jj,jk), 1.0_wp ) |
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249 | |
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250 | zmskv = 1.0_wp / MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
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251 | & + vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk), 1.0_wp ) |
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252 | |
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253 | ! *** NOTE *** wslpi() and wslpj() are not linearized. |
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254 | |
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255 | zcoef3 = zcoef0 * e2t(ji,jj) * zmsku * wslpi(ji,jj,jk) |
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256 | zcoef4 = zcoef0 * e1t(ji,jj) * zmskv * wslpj(ji,jj,jk) |
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257 | |
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258 | ztfwtl(ji,jj,jk) = zcoef3 * ( zdittl(ji ,jj ,jk-1) + zdittl(ji-1,jj ,jk) & |
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259 | & + zdittl(ji-1,jj ,jk-1) + zdittl(ji ,jj ,jk) ) & |
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260 | & + zcoef4 * ( zdjttl(ji ,jj ,jk-1) + zdjttl(ji ,jj-1,jk) & |
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261 | & + zdjttl(ji ,jj-1,jk-1) + zdjttl(ji ,jj ,jk) ) |
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262 | END DO |
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263 | END DO |
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264 | END DO |
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265 | |
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266 | |
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267 | ! I.5 Divergence of vertical fluxes added to the general tracer trend |
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268 | ! ------------------------------------------------------------------- |
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269 | |
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270 | DO jk = 1, jpkm1 |
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271 | DO jj = 2, jpjm1 |
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272 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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273 | zbtr = 1.0_wp / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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274 | |
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275 | ztatl = ( ztfwtl(ji,jj,jk) - ztfwtl(ji,jj,jk+1) ) * zbtr |
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276 | pta_tl(ji,jj,jk,jn) = pta_tl(ji,jj,jk,jn) + ztatl |
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277 | END DO |
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278 | END DO |
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279 | END DO |
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280 | END DO |
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281 | ! |
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282 | IF( nn_timing == 1 ) CALL timing_stop('tra_ldf_iso_tan') |
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283 | ! |
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284 | CALL wrk_dealloc( jpi, jpj, zdkttl, zdk1ttl ) |
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285 | CALL wrk_dealloc( jpi, jpj, jpk, zdittl, zdjttl, ztfwtl ) |
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286 | ! |
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287 | END SUBROUTINE tra_ldf_iso_tan |
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288 | |
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289 | SUBROUTINE tra_ldf_iso_adj( kt, kit000, cdtype, pgu_ad, pgv_ad, & |
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290 | & ptb_ad, pta_ad, kjpt, pahtb0 ) |
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291 | !!---------------------------------------------------------------------- |
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292 | !! *** ROUTINE tra_ldf_iso_adj *** |
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293 | !! |
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294 | !! ** Purpose of the direct routine: |
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295 | !! Compute the before horizontal tracer (t & s) diffusive |
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296 | !! trend for a laplacian tensor (ezxcept the dz[ dz[.] ] term) and |
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297 | !! add it to the general trend of tracer equation. |
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298 | !! |
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299 | !! ** Method of the direct routine: |
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300 | !! The horizontal component of the lateral diffusive trends |
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301 | !! is provided by a 2nd order operator rotated along neural or geopo- |
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302 | !! tential surfaces to which an eddy induced advection can be added |
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303 | !! It is computed using before fields (forward in time) and isopyc- |
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304 | !! nal or geopotential slopes computed in routine ldfslp. |
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305 | !! |
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306 | !! 1st part : masked horizontal derivative of T & S ( di[ t ] ) |
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307 | !! ======== with partial cell update if ln_zps=T. |
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308 | !! |
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309 | !! 2nd part : horizontal fluxes of the lateral mixing operator |
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310 | !! ======== |
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311 | !! zftu = (aht+ahtb0) e2u*e3u/e1u di[ tb ] |
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312 | !! - aht e2u*uslp dk[ mi(mk(tb)) ] |
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313 | !! zftv = (aht+ahtb0) e1v*e3v/e2v dj[ tb ] |
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314 | !! - aht e2u*vslp dk[ mj(mk(tb)) ] |
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315 | !! take the horizontal divergence of the fluxes: |
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316 | !! difft = 1/(e1t*e2t*e3t) { di-1[ zftu ] + dj-1[ zftv ] } |
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317 | !! Add this trend to the general trend (ta,sa): |
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318 | !! ta = ta + difft |
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319 | !! |
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320 | !! 3rd part: vertical trends of the lateral mixing operator |
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321 | !! ======== (excluding the vertical flux proportional to dk[t] ) |
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322 | !! vertical fluxes associated with the rotated lateral mixing: |
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323 | !! zftw =-aht { e2t*wslpi di[ mi(mk(tb)) ] |
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324 | !! + e1t*wslpj dj[ mj(mk(tb)) ] } |
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325 | !! take the horizontal divergence of the fluxes: |
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326 | !! difft = 1/(e1t*e2t*e3t) dk[ zftw ] |
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327 | !! Add this trend to the general trend (ta,sa): |
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328 | !! ta = ta + difft |
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329 | !! |
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330 | !! ** Action : Update (ta,sa) arrays with the before rotated diffusion |
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331 | !! trend (except the dk[ dk[.] ] term) |
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332 | !!---------------------------------------------------------------------- |
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333 | |
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334 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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335 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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336 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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337 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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338 | REAL(wp), DIMENSION(jpi,jpj ,kjpt), INTENT(inout ) :: pgu_ad, pgv_ad ! tracer gradient at pstep levels |
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339 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout ) :: ptb_ad ! before and now tracer fields |
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340 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout ) :: pta_ad ! tracer trend |
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341 | REAL(wp) , INTENT(in ) :: pahtb0 ! background diffusion coef |
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342 | !! |
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343 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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344 | INTEGER :: iku, ikv ! temporary integer |
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345 | REAL(wp) :: zmsku, zabe1, zcof1, zcoef3, ztaad ! temporary scalars |
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346 | REAL(wp) :: zmskv, zabe2, zcof2, zcoef4, zsaad ! " " |
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347 | REAL(wp) :: ztf3, ztf4, zsf3, zsf4 ! |
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348 | REAL(wp) :: zcoef0, zbtr ! " " |
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349 | REAL(wp), POINTER, DIMENSION(:,:) :: zdktad , zdk1tad, zftuad, zftvad ! 2D workspace |
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350 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zditad, zdjtad, zdisad, zdjsad, ztfwad ! 3D workspace |
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351 | !!---------------------------------------------------------------------- |
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352 | ! |
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353 | IF( nn_timing == 1 ) CALL timing_start('tra_ldf_iso_adj') |
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354 | ! |
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355 | CALL wrk_alloc( jpi, jpj, zdktad, zdk1tad, zftuad, zftvad ) |
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356 | CALL wrk_alloc( jpi, jpj, jpk, zditad, zdjtad, ztfwad, zdjsad, zdisad ) |
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357 | ! |
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358 | zditad(:,:,:) = 0.0_wp ; zdjtad(:,:,:) = 0.0_wp ; ztfwad(:,:,:) = 0.0_wp |
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359 | zdktad(:,:) = 0.0_wp ; zdk1tad(:,:) = 0.0_wp |
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360 | zftuad(:,:) = 0.0_wp ; zftvad (:,:) = 0.0_wp |
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361 | |
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362 | IF( kt == nitend ) THEN |
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363 | IF(lwp) WRITE(numout,*) |
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364 | IF(lwp) WRITE(numout,*) 'tra_ldf_iso_adj : rotated laplacian diffusion operator on ', cdtype |
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365 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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366 | ENDIF |
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367 | |
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368 | DO jn = 1, kjpt |
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369 | !!---------------------------------------------------------------------- |
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370 | !! III - vertical trend of T & S (extra diagonal terms only) |
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371 | !!---------------------------------------------------------------------- |
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372 | ! I.5 Divergence of vertical fluxes added to the general tracer trend |
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373 | ! ------------------------------------------------------------------- |
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374 | |
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375 | DO jk = jpkm1, 1, -1 |
---|
376 | DO jj = jpjm1, 2, -1 |
---|
377 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
---|
378 | zbtr = 1.0_wp / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
---|
379 | ztaad = pta_ad(ji,jj,jk,jn) * zbtr |
---|
380 | ztfwad(ji,jj,jk ) = ztfwad(ji,jj,jk ) + ztaad |
---|
381 | ztfwad(ji,jj,jk+1) = ztfwad(ji,jj,jk+1) - ztaad |
---|
382 | END DO |
---|
383 | END DO |
---|
384 | END DO |
---|
385 | ! interior (2=<jk=<jpk-1) |
---|
386 | DO jk = jpkm1, 2, -1 |
---|
387 | DO jj = jpjm1, 2, -1 |
---|
388 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
---|
389 | zcoef0 = - fsahtw(ji,jj,jk) * tmask(ji,jj,jk) |
---|
390 | |
---|
391 | zmsku = 1.0_wp / MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
---|
392 | & + umask(ji-1,jj,jk-1) + umask(ji ,jj,jk), 1.0_wp ) |
---|
393 | |
---|
394 | zmskv = 1.0_wp / MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
---|
395 | & + vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk), 1.0_wp ) |
---|
396 | |
---|
397 | ! *** NOTE *** wslpi() and wslpj() are not linearized. |
---|
398 | |
---|
399 | zcoef3 = zcoef0 * e2t(ji,jj) * zmsku * wslpi(ji,jj,jk) |
---|
400 | zcoef4 = zcoef0 * e1t(ji,jj) * zmskv * wslpj(ji,jj,jk) |
---|
401 | |
---|
402 | ztf3 = ztfwad(ji,jj,jk) * zcoef3 |
---|
403 | ztf4 = ztfwad(ji,jj,jk) * zcoef4 |
---|
404 | |
---|
405 | zditad(ji ,jj ,jk-1) = zditad(ji ,jj ,jk-1) + ztf3 |
---|
406 | zditad(ji-1,jj ,jk ) = zditad(ji-1,jj ,jk ) + ztf3 |
---|
407 | zditad(ji-1,jj ,jk-1) = zditad(ji-1,jj ,jk-1) + ztf3 |
---|
408 | zditad(ji ,jj ,jk ) = zditad(ji ,jj ,jk ) + ztf3 |
---|
409 | |
---|
410 | zdjtad(ji ,jj ,jk-1) = zdjtad(ji ,jj ,jk-1) + ztf4 |
---|
411 | zdjtad(ji ,jj-1,jk ) = zdjtad(ji ,jj-1,jk ) + ztf4 |
---|
412 | zdjtad(ji ,jj-1,jk-1) = zdjtad(ji ,jj-1,jk-1) + ztf4 |
---|
413 | zdjtad(ji ,jj ,jk ) = zdjtad(ji ,jj ,jk ) + ztf4 |
---|
414 | |
---|
415 | ztfwad(ji,jj,jk) = 0.0_wp |
---|
416 | END DO |
---|
417 | END DO |
---|
418 | END DO |
---|
419 | |
---|
420 | ! Local constant initialization |
---|
421 | ! ----------------------------- |
---|
422 | ztfwad(1,:,:) = 0.0_wp ; ztfwad(jpi,:,:) = 0.0_wp |
---|
423 | |
---|
424 | ! Vertical fluxes |
---|
425 | ! --------------- |
---|
426 | |
---|
427 | ! Surface and bottom vertical fluxes set to zero |
---|
428 | ztfwad(:,:, 1 ) = 0.0_wp ; ztfwad(:,:,jpk) = 0.0_wp |
---|
429 | |
---|
430 | !!---------------------------------------------------------------------- |
---|
431 | !! II - horizontal trend of T & S (full) |
---|
432 | !!---------------------------------------------------------------------- |
---|
433 | |
---|
434 | ! ! =============== |
---|
435 | DO jk = jpkm1, 1, -1 ! Horizontal slab |
---|
436 | ! ! =============== |
---|
437 | ! II.4 Second derivative (divergence) and add to the general trend |
---|
438 | ! ---------------------------------------------------------------- |
---|
439 | DO jj = jpjm1, 2, -1 |
---|
440 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
---|
441 | |
---|
442 | zbtr= 1.0_wp / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
---|
443 | ztaad = pta_ad(ji,jj,jk,jn) * zbtr |
---|
444 | |
---|
445 | zftuad(ji ,jj ) = zftuad(ji ,jj ) + ztaad |
---|
446 | zftuad(ji-1,jj ) = zftuad(ji-1,jj ) - ztaad |
---|
447 | zftvad(ji ,jj ) = zftvad(ji ,jj ) + ztaad |
---|
448 | zftvad(ji ,jj-1) = zftvad(ji ,jj-1) - ztaad |
---|
449 | END DO |
---|
450 | END DO |
---|
451 | |
---|
452 | ! 2. Horizontal fluxes |
---|
453 | ! -------------------- |
---|
454 | DO jj = jpjm1, 1, -1 |
---|
455 | DO ji = fs_jpim1, 1, -1 ! vector opt. |
---|
456 | zabe1 = umask(ji,jj,jk) * ( fsahtu(ji,jj,jk) + ahtb0 ) & |
---|
457 | & * e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) |
---|
458 | zabe2 = vmask(ji,jj,jk) * ( fsahtv(ji,jj,jk) + ahtb0 ) & |
---|
459 | & * e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) |
---|
460 | |
---|
461 | zmsku = 1.0_wp / MAX( tmask(ji+1,jj,jk ) + tmask(ji,jj,jk+1) & |
---|
462 | & + tmask(ji+1,jj,jk+1) + tmask(ji,jj,jk ), 1.0_wp ) |
---|
463 | |
---|
464 | zmskv = 1.0_wp / MAX( tmask(ji,jj+1,jk ) + tmask(ji,jj,jk+1) & |
---|
465 | & + tmask(ji,jj+1,jk+1) + tmask(ji,jj,jk ), 1.0_wp ) |
---|
466 | |
---|
467 | ! *** NOTE *** uslp() and vslp() are not linearized. |
---|
468 | |
---|
469 | zcof1 = -fsahtu(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku * umask(ji,jj,jk) |
---|
470 | zcof2 = -fsahtv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv * vmask(ji,jj,jk) |
---|
471 | |
---|
472 | zditad(ji,jj,jk) = zditad(ji,jj,jk) + zftuad(ji,jj) * zabe1 |
---|
473 | |
---|
474 | zdktad (ji+1,jj) = zdktad (ji+1,jj) + zftuad(ji,jj) * zcof1 |
---|
475 | zdktad (ji ,jj) = zdktad (ji ,jj) + zftuad(ji,jj) * zcof1 |
---|
476 | zdk1tad(ji ,jj) = zdk1tad(ji ,jj) + zftuad(ji,jj) * zcof1 |
---|
477 | zdk1tad(ji+1,jj) = zdk1tad(ji+1,jj) + zftuad(ji,jj) * zcof1 |
---|
478 | zftuad (ji ,jj) = 0.0_wp |
---|
479 | ! |
---|
480 | zdjtad(ji,jj,jk) = zdjtad(ji,jj,jk) + zftvad(ji,jj) * zabe2 |
---|
481 | |
---|
482 | zdktad (ji,jj+1) = zdktad (ji,jj+1) + zftvad(ji,jj) * zcof2 |
---|
483 | zdktad (ji,jj ) = zdktad (ji,jj ) + zftvad(ji,jj) * zcof2 |
---|
484 | zdk1tad(ji,jj ) = zdk1tad(ji,jj ) + zftvad(ji,jj) * zcof2 |
---|
485 | zdk1tad(ji,jj+1) = zdk1tad(ji,jj+1) + zftvad(ji,jj) * zcof2 |
---|
486 | zftvad (ji,jj ) = 0.0_wp |
---|
487 | ! |
---|
488 | END DO |
---|
489 | END DO |
---|
490 | |
---|
491 | ! 1. Vertical tracer gradient at level jk and jk+1 |
---|
492 | ! ------------------------------------------------ |
---|
493 | ! surface boundary condition: zdkt(jk=1)=zdkt(jk=2) |
---|
494 | |
---|
495 | IF( jk == 1 ) THEN |
---|
496 | zdk1tad(:,:) = zdk1tad(:,:) + zdktad(:,:) |
---|
497 | zdktad(:,:) = 0.0_wp |
---|
498 | ELSE |
---|
499 | ptb_ad(:,:,jk-1,jn) = ptb_ad(:,:,jk-1,jn) + zdktad(:,:) * tmask(:,:,jk) |
---|
500 | ptb_ad(:,:,jk,jn ) = ptb_ad(:,:,jk, jn ) - zdktad(:,:) * tmask(:,:,jk) |
---|
501 | zdktad(:,:) = 0.0_wp |
---|
502 | ENDIF |
---|
503 | ptb_ad(:,:,jk,jn ) = ptb_ad(:,:,jk,jn ) + zdk1tad(:,:) * tmask(:,:,jk+1) |
---|
504 | ptb_ad(:,:,jk+1,jn) = ptb_ad(:,:,jk+1,jn) - zdk1tad(:,:) * tmask(:,:,jk+1) |
---|
505 | zdk1tad(:,:) = 0.0_wp |
---|
506 | ! ! =============== |
---|
507 | END DO ! End of slab |
---|
508 | ! ! =============== |
---|
509 | !!---------------------------------------------------------------------- |
---|
510 | !! I - masked horizontal derivative of T & S |
---|
511 | !!---------------------------------------------------------------------- |
---|
512 | IF( ln_zps ) THEN ! partial steps correction at the last level |
---|
513 | DO jj = jpjm1, 1, -1 |
---|
514 | DO ji = fs_jpim1, 1, -1 ! vector opt. |
---|
515 | ! last level |
---|
516 | pgu_ad(ji,jj,jn) = pgu_ad(ji,jj,jn) + zditad(ji,jj,mbku(ji,jj)) |
---|
517 | pgv_ad(ji,jj,jn) = pgv_ad(ji,jj,jn) + zdjtad(ji,jj,mbkv(ji,jj)) |
---|
518 | |
---|
519 | zditad(ji,jj,mbku(ji,jj)) = 0.0_wp |
---|
520 | zdjtad(ji,jj,mbkv(ji,jj)) = 0.0_wp |
---|
521 | |
---|
522 | zdisad(ji,jj,mbku(ji,jj)) = 0.0_wp |
---|
523 | zdjsad(ji,jj,mbkv(ji,jj)) = 0.0_wp |
---|
524 | END DO |
---|
525 | END DO |
---|
526 | ENDIF |
---|
527 | |
---|
528 | ! Horizontal temperature and salinity gradient |
---|
529 | DO jk = jpkm1, 1, -1 |
---|
530 | DO jj = jpjm1, 1, -1 |
---|
531 | DO ji = fs_jpim1, 1, -1 ! vector opt. |
---|
532 | zditad(ji,jj,jk) = zditad(ji,jj,jk) * umask(ji,jj,jk) |
---|
533 | zdjtad(ji,jj,jk) = zdjtad(ji,jj,jk) * vmask(ji,jj,jk) |
---|
534 | ptb_ad(ji+1,jj ,jk,jn) = ptb_ad(ji+1,jj ,jk,jn) + zditad(ji,jj,jk) |
---|
535 | ptb_ad(ji ,jj ,jk,jn) = ptb_ad(ji ,jj ,jk,jn) - zditad(ji,jj,jk) |
---|
536 | ptb_ad(ji ,jj+1,jk,jn) = ptb_ad(ji ,jj+1,jk,jn) + zdjtad(ji,jj,jk) |
---|
537 | ptb_ad(ji ,jj ,jk,jn) = ptb_ad(ji ,jj ,jk,jn) - zdjtad(ji,jj,jk) |
---|
538 | END DO |
---|
539 | END DO |
---|
540 | END DO |
---|
541 | END DO |
---|
542 | ! |
---|
543 | IF( nn_timing == 1 ) CALL timing_stop('tra_ldf_iso_adj') |
---|
544 | ! |
---|
545 | CALL wrk_dealloc( jpi, jpj, zdktad, zdk1tad, zftuad, zftvad ) |
---|
546 | CALL wrk_dealloc( jpi, jpj, jpk, zditad, zdjtad, ztfwad ) |
---|
547 | ! |
---|
548 | END SUBROUTINE tra_ldf_iso_adj |
---|
549 | |
---|
550 | SUBROUTINE tra_ldf_iso_adj_tst ( kumadt ) |
---|
551 | !!----------------------------------------------------------------------- |
---|
552 | !! |
---|
553 | !! *** ROUTINE example_adj_tst *** |
---|
554 | !! |
---|
555 | !! ** Purpose : Test the adjoint routine. |
---|
556 | !! |
---|
557 | !! ** Method : Verify the scalar product |
---|
558 | !! |
---|
559 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
560 | !! |
---|
561 | !! where L = tangent routine |
---|
562 | !! L^T = adjoint routine |
---|
563 | !! W = diagonal matrix of scale factors |
---|
564 | !! dx = input perturbation (random field) |
---|
565 | !! dy = L dx |
---|
566 | !! |
---|
567 | !! History : |
---|
568 | !! ! 08-08 (A. Vidard) |
---|
569 | !!----------------------------------------------------------------------- |
---|
570 | !! * Modules used |
---|
571 | |
---|
572 | !! * Arguments |
---|
573 | INTEGER, INTENT(IN) :: & |
---|
574 | & kumadt ! Output unit |
---|
575 | |
---|
576 | !! * Local declarations |
---|
577 | INTEGER :: & |
---|
578 | & ji, & ! dummy loop indices |
---|
579 | & jj, & |
---|
580 | & jk |
---|
581 | INTEGER, DIMENSION(jpi,jpj) :: & |
---|
582 | & iseed_2d ! 2D seed for the random number generator |
---|
583 | REAL(KIND=wp) :: & |
---|
584 | & zsp1, & ! scalar product involving the tangent routine |
---|
585 | & zsp1_T, & |
---|
586 | & zsp1_S, & |
---|
587 | & zsp2, & ! scalar product involving the adjoint routine |
---|
588 | & zsp2_1, & |
---|
589 | & zsp2_2, & |
---|
590 | & zsp2_3, & |
---|
591 | & zsp2_4, & |
---|
592 | & zsp2_5, & |
---|
593 | & zsp2_6, & |
---|
594 | & zsp2_7, & |
---|
595 | & zsp2_8, & |
---|
596 | & zsp2_T, & |
---|
597 | & zsp2_S |
---|
598 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
599 | & ztb_tlin , & ! Tangent input |
---|
600 | & zsb_tlin , & ! Tangent input |
---|
601 | & zta_tlin , & ! Tangent input |
---|
602 | & zsa_tlin , & ! Tangent input |
---|
603 | & zta_tlout, & ! Tangent output |
---|
604 | & zsa_tlout, & ! Tangent output |
---|
605 | & zta_adin, & ! Adjoint input |
---|
606 | & zsa_adin, & ! Adjoint input |
---|
607 | & ztb_adout , & ! Adjoint output |
---|
608 | & zsb_adout , & ! Adjoint output |
---|
609 | & zta_adout , & ! Adjoint output |
---|
610 | & zsa_adout , & ! Adjoint output |
---|
611 | & z3r ! 3D random field |
---|
612 | REAL(KIND=wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
613 | & zgtu_tlin , & ! Tangent input |
---|
614 | & zgsu_tlin , & ! Tangent input |
---|
615 | & zgtv_tlin , & ! Tangent input |
---|
616 | & zgsv_tlin , & ! Tangent input |
---|
617 | & zgtu_adout , & ! Adjoint output |
---|
618 | & zgsu_adout , & ! Adjoint output |
---|
619 | & zgtv_adout , & ! Adjoint output |
---|
620 | & zgsv_adout , & ! Adjoint output |
---|
621 | & z2r ! 2D random field |
---|
622 | CHARACTER(LEN=14) :: cl_name |
---|
623 | ! Allocate memory |
---|
624 | |
---|
625 | ALLOCATE( & |
---|
626 | & ztb_tlin(jpi,jpj,jpk), & |
---|
627 | & zsb_tlin(jpi,jpj,jpk), & |
---|
628 | & zta_tlin(jpi,jpj,jpk), & |
---|
629 | & zsa_tlin(jpi,jpj,jpk), & |
---|
630 | & zgtu_tlin(jpi,jpj), & |
---|
631 | & zgsu_tlin(jpi,jpj), & |
---|
632 | & zgtv_tlin(jpi,jpj), & |
---|
633 | & zgsv_tlin(jpi,jpj), & |
---|
634 | & zta_tlout(jpi,jpj,jpk), & |
---|
635 | & zsa_tlout(jpi,jpj,jpk), & |
---|
636 | & zta_adin(jpi,jpj,jpk), & |
---|
637 | & zsa_adin(jpi,jpj,jpk), & |
---|
638 | & ztb_adout(jpi,jpj,jpk), & |
---|
639 | & zsb_adout(jpi,jpj,jpk), & |
---|
640 | & zta_adout(jpi,jpj,jpk), & |
---|
641 | & zsa_adout(jpi,jpj,jpk), & |
---|
642 | & zgtu_adout(jpi,jpj), & |
---|
643 | & zgsu_adout(jpi,jpj), & |
---|
644 | & zgtv_adout(jpi,jpj), & |
---|
645 | & zgsv_adout(jpi,jpj), & |
---|
646 | & z3r(jpi,jpj,jpk), & |
---|
647 | & z2r(jpi,jpj) & |
---|
648 | & ) |
---|
649 | |
---|
650 | ! Initialize the reference state |
---|
651 | uslp (:,:,:) = 2.0_wp |
---|
652 | vslp (:,:,:) = 3.0_wp |
---|
653 | wslpi(:,:,:) = 4.0_wp |
---|
654 | wslpj(:,:,:) = 5.0_wp |
---|
655 | |
---|
656 | !======================================================================= |
---|
657 | ! 1) dx = ( tb_tl, ta_tl, sb_tl, sa_tl, gtu_tl, gtv_tl, gsu_tl, gsv_tl ) |
---|
658 | ! dy = ( ta_tl, sa_tl ) |
---|
659 | !======================================================================= |
---|
660 | |
---|
661 | !-------------------------------------------------------------------- |
---|
662 | ! Reset the tangent and adjoint variables |
---|
663 | !-------------------------------------------------------------------- |
---|
664 | |
---|
665 | ztb_tlin(:,:,:) = 0.0_wp |
---|
666 | zsb_tlin(:,:,:) = 0.0_wp |
---|
667 | zta_tlin(:,:,:) = 0.0_wp |
---|
668 | zsa_tlin(:,:,:) = 0.0_wp |
---|
669 | zgtu_tlin(:,:) = 0.0_wp |
---|
670 | zgsu_tlin(:,:) = 0.0_wp |
---|
671 | zgtv_tlin(:,:) = 0.0_wp |
---|
672 | zgsv_tlin(:,:) = 0.0_wp |
---|
673 | zta_tlout(:,:,:) = 0.0_wp |
---|
674 | zsa_tlout(:,:,:) = 0.0_wp |
---|
675 | zta_adin(:,:,:) = 0.0_wp |
---|
676 | zsa_adin(:,:,:) = 0.0_wp |
---|
677 | ztb_adout(:,:,:) = 0.0_wp |
---|
678 | zsb_adout(:,:,:) = 0.0_wp |
---|
679 | zta_adout(:,:,:) = 0.0_wp |
---|
680 | zsa_adout(:,:,:) = 0.0_wp |
---|
681 | zgtu_adout(:,:) = 0.0_wp |
---|
682 | zgsu_adout(:,:) = 0.0_wp |
---|
683 | zgtv_adout(:,:) = 0.0_wp |
---|
684 | zgsv_adout(:,:) = 0.0_wp |
---|
685 | |
---|
686 | tsb_tl(:,:,:,:) = 0.0_wp |
---|
687 | tsa_tl(:,:,:,:) = 0.0_wp |
---|
688 | gtsu_tl(:,:,:) = 0.0_wp |
---|
689 | gtsv_tl(:,:,:) = 0.0_wp |
---|
690 | tsb_ad(:,:,:,:) = 0.0_wp |
---|
691 | tsa_ad(:,:,:,:) = 0.0_wp |
---|
692 | gtsu_ad(:,:,:) = 0.0_wp |
---|
693 | gtsv_ad(:,:,:) = 0.0_wp |
---|
694 | |
---|
695 | !-------------------------------------------------------------------- |
---|
696 | ! Initialize the tangent input with random noise: dx |
---|
697 | !-------------------------------------------------------------------- |
---|
698 | |
---|
699 | CALL grid_random( z3r, 'T', 0.0_wp, stdt ) |
---|
700 | DO jk = 1, jpk |
---|
701 | DO jj = nldj, nlej |
---|
702 | DO ji = nldi, nlei |
---|
703 | ztb_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
704 | END DO |
---|
705 | END DO |
---|
706 | END DO |
---|
707 | CALL grid_random( z3r, 'T', 0.0_wp, stds ) |
---|
708 | DO jk = 1, jpk |
---|
709 | DO jj = nldj, nlej |
---|
710 | DO ji = nldi, nlei |
---|
711 | zsb_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
712 | END DO |
---|
713 | END DO |
---|
714 | END DO |
---|
715 | CALL grid_random( z3r, 'T', 0.0_wp, stdt ) |
---|
716 | DO jk = 1, jpk |
---|
717 | DO jj = nldj, nlej |
---|
718 | DO ji = nldi, nlei |
---|
719 | zta_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
720 | END DO |
---|
721 | END DO |
---|
722 | END DO |
---|
723 | CALL grid_random( z3r, 'T', 0.0_wp, stds ) |
---|
724 | DO jk = 1, jpk |
---|
725 | DO jj = nldj, nlej |
---|
726 | DO ji = nldi, nlei |
---|
727 | zsa_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
728 | END DO |
---|
729 | END DO |
---|
730 | END DO |
---|
731 | CALL grid_random( z2r, 'U', 0.0_wp, stds ) |
---|
732 | DO jj = nldj, nlej |
---|
733 | DO ji = nldi, nlei |
---|
734 | zgtu_tlin(ji,jj) = z2r(ji,jj) |
---|
735 | END DO |
---|
736 | END DO |
---|
737 | CALL grid_random( z2r, 'U', 0.0_wp, stds ) |
---|
738 | DO jj = nldj, nlej |
---|
739 | DO ji = nldi, nlei |
---|
740 | zgsu_tlin(ji,jj) = z2r(ji,jj) |
---|
741 | END DO |
---|
742 | END DO |
---|
743 | CALL grid_random( z2r, 'V', 0.0_wp, stds ) |
---|
744 | DO jj = nldj, nlej |
---|
745 | DO ji = nldi, nlei |
---|
746 | zgtv_tlin(ji,jj) = z2r(ji,jj) |
---|
747 | END DO |
---|
748 | END DO |
---|
749 | CALL grid_random( z2r, 'V', 0.0_wp, stds ) |
---|
750 | DO jj = nldj, nlej |
---|
751 | DO ji = nldi, nlei |
---|
752 | zgsv_tlin(ji,jj) = z2r(ji,jj) |
---|
753 | END DO |
---|
754 | END DO |
---|
755 | |
---|
756 | tsb_tl(:,:,:,jp_tem) = ztb_tlin(:,:,:) |
---|
757 | tsb_tl(:,:,:,jp_sal) = zsb_tlin(:,:,:) |
---|
758 | tsa_tl(:,:,:,jp_tem) = zta_tlin(:,:,:) |
---|
759 | tsa_tl(:,:,:,jp_sal) = zsa_tlin(:,:,:) |
---|
760 | gtsu_tl(:,:,jp_tem) = zgtu_tlin(:,:) |
---|
761 | gtsu_tl(:,:,jp_sal) = zgsu_tlin(:,:) |
---|
762 | gtsv_tl(:,:,jp_tem) = zgtv_tlin(:,:) |
---|
763 | gtsv_tl(:,:,jp_sal) = zgsv_tlin(:,:) |
---|
764 | |
---|
765 | CALL tra_ldf_iso_tan( nit000, nit000, 'TRA', gtsu_tl, gtsv_tl, tsb_tl, tsa_tl, jpts, ahtb0 ) |
---|
766 | |
---|
767 | zta_tlout(:,:,:) = tsa_tl(:,:,:,jp_tem) |
---|
768 | zsa_tlout(:,:,:) = tsa_tl(:,:,:,jp_sal) |
---|
769 | |
---|
770 | !-------------------------------------------------------------------- |
---|
771 | ! Initialize the adjoint variables: dy^* = W dy |
---|
772 | !-------------------------------------------------------------------- |
---|
773 | |
---|
774 | DO jk = 1, jpk |
---|
775 | DO jj = nldj, nlej |
---|
776 | DO ji = nldi, nlei |
---|
777 | zsa_adin(ji,jj,jk) = zsa_tlout(ji,jj,jk) & |
---|
778 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
---|
779 | & * tmask(ji,jj,jk) * wesp_s(jk) |
---|
780 | zta_adin(ji,jj,jk) = zta_tlout(ji,jj,jk) & |
---|
781 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
---|
782 | & * tmask(ji,jj,jk) * wesp_t(jk) |
---|
783 | END DO |
---|
784 | END DO |
---|
785 | END DO |
---|
786 | |
---|
787 | !-------------------------------------------------------------------- |
---|
788 | ! Compute the scalar product: ( L dx )^T W dy |
---|
789 | !-------------------------------------------------------------------- |
---|
790 | |
---|
791 | zsp1_T = DOT_PRODUCT( zta_tlout, zta_adin ) |
---|
792 | zsp1_S = DOT_PRODUCT( zsa_tlout, zsa_adin ) |
---|
793 | zsp1 = zsp1_T + zsp1_S |
---|
794 | |
---|
795 | !-------------------------------------------------------------------- |
---|
796 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
797 | !-------------------------------------------------------------------- |
---|
798 | |
---|
799 | tsa_ad(:,:,:,jp_tem) = zta_adin(:,:,:) |
---|
800 | tsa_ad(:,:,:,jp_sal) = zsa_adin(:,:,:) |
---|
801 | |
---|
802 | CALL tra_ldf_iso_adj( nit000, nit000, 'TRA', gtsu_ad, gtsv_ad, tsb_ad, tsa_ad, jpts, ahtb0 ) |
---|
803 | |
---|
804 | ztb_adout(:,:,:) = tsb_ad(:,:,:,jp_tem) |
---|
805 | zsb_adout(:,:,:) = tsb_ad(:,:,:,jp_sal) |
---|
806 | zta_adout(:,:,:) = tsa_ad(:,:,:,jp_tem) |
---|
807 | zsa_adout(:,:,:) = tsa_ad(:,:,:,jp_sal) |
---|
808 | zgtu_adout(:,:) = gtsu_ad(:,:,jp_tem) |
---|
809 | zgsu_adout(:,:) = gtsu_ad(:,:,jp_sal) |
---|
810 | zgtv_adout(:,:) = gtsv_ad(:,:,jp_tem) |
---|
811 | zgsv_adout(:,:) = gtsv_ad(:,:,jp_sal) |
---|
812 | |
---|
813 | zsp2_1 = DOT_PRODUCT( ztb_tlin , ztb_adout ) |
---|
814 | zsp2_2 = DOT_PRODUCT( zta_tlin , zta_adout ) |
---|
815 | zsp2_3 = DOT_PRODUCT( zgtu_tlin, zgtu_adout ) |
---|
816 | zsp2_4 = DOT_PRODUCT( zgtv_tlin, zgtv_adout ) |
---|
817 | zsp2_5 = DOT_PRODUCT( zsb_tlin , zsb_adout ) |
---|
818 | zsp2_6 = DOT_PRODUCT( zsa_tlin , zsa_adout ) |
---|
819 | zsp2_7 = DOT_PRODUCT( zgsu_tlin, zgsu_adout ) |
---|
820 | zsp2_8 = DOT_PRODUCT( zgsv_tlin, zgsv_adout ) |
---|
821 | |
---|
822 | zsp2_T = zsp2_1 + zsp2_2 + zsp2_3 + zsp2_4 |
---|
823 | zsp2_S = zsp2_5 + zsp2_6 + zsp2_7 + zsp2_8 |
---|
824 | zsp2 = zsp2_T + zsp2_S |
---|
825 | |
---|
826 | cl_name = 'tra_ldf_iso_ad' |
---|
827 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
828 | |
---|
829 | DEALLOCATE( & |
---|
830 | & ztb_tlin, & ! Tangent input |
---|
831 | & zsb_tlin, & ! Tangent input |
---|
832 | & zta_tlin, & ! Tangent input |
---|
833 | & zsa_tlin, & ! Tangent input |
---|
834 | & zgtu_tlin, & ! Tangent input |
---|
835 | & zgsu_tlin, & ! Tangent input |
---|
836 | & zgtv_tlin, & ! Tangent input |
---|
837 | & zgsv_tlin, & ! Tangent input |
---|
838 | & zta_tlout, & ! Tangent output |
---|
839 | & zsa_tlout, & ! Tangent output |
---|
840 | & zta_adin, & ! Adjoint input |
---|
841 | & zsa_adin, & ! Adjoint input |
---|
842 | & ztb_adout, & ! Adjoint output |
---|
843 | & zsb_adout, & ! Adjoint output |
---|
844 | & zta_adout, & ! Adjoint output |
---|
845 | & zsa_adout, & ! Adjoint output |
---|
846 | & zgtu_adout, & ! Adjoint output |
---|
847 | & zgsu_adout, & ! Adjoint output |
---|
848 | & zgtv_adout, & ! Adjoint output |
---|
849 | & zgsv_adout, & ! Adjoint output |
---|
850 | & z3r, & ! 3D random field |
---|
851 | & z2r & |
---|
852 | & ) |
---|
853 | |
---|
854 | END SUBROUTINE tra_ldf_iso_adj_tst |
---|
855 | # else |
---|
856 | !!---------------------------------------------------------------------- |
---|
857 | !! default option : Dummy code NO rotation of the diffusive tensor |
---|
858 | !!---------------------------------------------------------------------- |
---|
859 | CONTAINS |
---|
860 | SUBROUTINE tra_ldf_iso_tan( kt, kit000, cdtype, pgu_tl, pgv_tl, & |
---|
861 | & ptb_tl, pta_tl, kjpt, pahtb0 ) ! Empty routine |
---|
862 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
---|
863 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
---|
864 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
865 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
866 | REAL, DIMENSION(:,:,:), INTENT(in ) :: pgu_tl, pgv_tl ! tracer gradient at pstep levels |
---|
867 | REAL, DIMENSION(:,:,:,:), INTENT(in ) :: ptb_tl ! before and now tracer fields |
---|
868 | REAL, DIMENSION(:,:,:,:), INTENT(inout) :: pta_tl ! tracer trend |
---|
869 | REAL , INTENT(in ) :: pahtb0 ! background diffusion coef |
---|
870 | !! |
---|
871 | WRITE(*,*) 'tra_ldf_iso_tan: You should not have seen this print! error?', kt |
---|
872 | END SUBROUTINE tra_ldf_iso_tan |
---|
873 | SUBROUTINE tra_ldf_iso_adj( kt, kit000, cdtype, pgu_ad, pgv_ad, & |
---|
874 | & ptb_ad, pta_ad, kjpt, pahtb0 ) ! Empty routine |
---|
875 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
876 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
---|
877 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
878 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
879 | REAL, DIMENSION(:,:,:), INTENT(inout ) :: pgu_ad, pgv_ad ! tracer gradient at pstep levels |
---|
880 | REAL, DIMENSION(:,:,:,:), INTENT(inout ) :: ptb_ad ! before and now tracer fields |
---|
881 | REAL, DIMENSION(:,:,:,:), INTENT(inout ) :: pta_ad ! tracer trend |
---|
882 | REAL , INTENT(in ) :: pahtb0 ! background diffusion coef |
---|
883 | !! |
---|
884 | WRITE(*,*) 'tra_ldf_iso_adj: You should not have seen this print! error?', kt |
---|
885 | END SUBROUTINE tra_ldf_iso_adj |
---|
886 | SUBROUTINE tra_ldf_iso_adj_tst ( kumadt ) |
---|
887 | WRITE(*,*) 'tra_ldf_iso_adj_tst: You should not have seen this print! error?', kt |
---|
888 | END SUBROUTINE tra_ldf_iso_adj_tst |
---|
889 | # endif |
---|
890 | #endif |
---|
891 | |
---|
892 | !!============================================================================== |
---|
893 | END MODULE traldf_iso_tam |
---|