1 | MODULE cla_div_tam |
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2 | #ifdef key_tam |
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3 | !!============================================================================== |
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4 | !! *** MODULE cla_div_tam *** |
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5 | !! Ocean diagnostic variable : specific update of the horizontal divergence |
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6 | !! CAUTION: Specific to ORCA_R2 |
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7 | !! Tangent and adjoint module |
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8 | !!============================================================================== |
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9 | # if defined key_orca_r2 |
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10 | !!---------------------------------------------------------------------- |
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11 | !! 'key_orca_r2' global ocean model R2 |
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12 | !!---------------------------------------------------------------------- |
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13 | !! div_cla : |
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14 | !! div_bab_el_mandeb |
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15 | !! div_gibraltar |
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16 | !! div_hormuz |
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17 | !! div_cla_init : |
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18 | !!---------------------------------------------------------------------- |
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19 | !! * Modules used |
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20 | USE par_kind, ONLY: & ! Precision variables |
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21 | & wp |
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22 | USE par_oce, ONLY: & ! Ocean space and time domain variables |
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23 | & jpi, & |
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24 | & jpj, & |
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25 | & jpk, & |
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26 | & jpiglo |
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27 | USE oce_tam, ONLY: & ! ocean dynamics and tracers |
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28 | & hdivn_tl, & |
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29 | & hdivn_ad |
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30 | USE sbc_oce_tam, ONLY: & ! surface variables |
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31 | & emp_tl, & |
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32 | & emp_ad |
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33 | USE dom_oce, ONLY: & ! ocean space and time domain |
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34 | & mi0, & |
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35 | & mi1, & |
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36 | & mj0, & |
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37 | & mj1, & |
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38 | & nldi, & |
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39 | & nldj, & |
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40 | & nlei, & |
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41 | & nlej, & |
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42 | & rdt, & |
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43 | & tmask, & |
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44 | & mig, & |
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45 | & mjg, & |
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46 | & e2u, & |
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47 | & e1v, & |
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48 | & e1t, & |
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49 | & e2t, & |
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50 | # if defined key_vvl |
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51 | & e3t_1, & |
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52 | # else |
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53 | # if defined key_zco |
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54 | & e3t_0, & |
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55 | # else |
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56 | & e3t, & |
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57 | # endif |
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58 | # endif |
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59 | # if defined key_zco |
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60 | & e3t_0, & |
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61 | # else |
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62 | & e3u, & |
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63 | & e3v |
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64 | # endif |
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65 | USE in_out_manager, ONLY: & ! I/O manager |
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66 | & nit000 |
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67 | USE phycst, ONLY: & ! Physical constants |
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68 | & rau0 |
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69 | USE lib_mpp, ONLY: & ! distributed memory computing library |
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70 | & lk_mpp, & |
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71 | & mpp_sum |
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72 | USE lbclnk, ONLY: & ! ocean lateral boundary conditions (or mpp link) |
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73 | & lbc_lnk |
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74 | USE lbclnk_tam, ONLY: & ! ocean lateral boundary conditions (or mpp link) |
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75 | & lbc_lnk_adj |
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76 | USE dotprodfld, ONLY: & ! Computes dot product for 3D and 2D fields |
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77 | & dot_product |
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78 | USE gridrandom, ONLY: & ! Random Gaussian noise on grids |
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79 | & grid_random |
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80 | USE tstool_tam, ONLY: & |
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81 | & prntst_adj, & ! |
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82 | & stdemp, & ! stdev for evaporation minus precip |
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83 | & stdh ! hdiv |
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84 | |
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85 | IMPLICIT NONE |
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86 | PRIVATE |
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87 | |
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88 | !! * Module variables |
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89 | REAL(wp) :: zempmed_tl, zempred_tl ! EMP of Mediterranean and Red Sea |
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90 | REAL(wp) :: zempmed_ad, zempred_ad ! EMP of Mediterranean and Red Sea |
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91 | !! * Routine accessibility |
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92 | PUBLIC div_cla_tan ! routine called by step_tam.F90 |
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93 | PUBLIC div_cla_adj ! routine called by step_tam.F90 |
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94 | PUBLIC div_cla_adj_tst ! routine called by tst.F90 |
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95 | |
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96 | !! * Substitutions |
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97 | # include "domzgr_substitute.h90" |
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98 | |
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99 | CONTAINS |
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100 | |
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101 | SUBROUTINE div_cla_tan ( kt ) |
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102 | !!---------------------------------------------------------------------- |
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103 | !! *** ROUTINE div_cla_tan *** |
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104 | !! |
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105 | !! ** Purpose of the direct routine: |
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106 | !! update the horizontal divergence of the velocity field |
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107 | !! for at some straits ( Gibraltar, Bab el Mandeb and Hormuz ). |
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108 | !! |
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109 | !! ** Method : With imposed transport at each strait, we compute |
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110 | !! corresponding velocities and update horizontal divergence. |
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111 | !! Apply lateral boundary conditions on hdivn through a call |
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112 | !! to routine lbc_lnk. |
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113 | !! |
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114 | !! ** Action : update hdivn array : the now horizontal divergence |
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115 | !! |
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116 | !! History of the direct routine: |
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117 | !! 8.5 ! 02-11 (A. Bozec) Free form, F90 |
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118 | !! History of the TAM routine: |
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119 | !! 9.0 ! 08-06 (A. Vidard) Skeleton |
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120 | !! 9.0 ! 08-09 (A. Vidard) tangent of the 02-11 version |
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121 | !! 9.0 ! 09-02 (A. Vidard) cosmetic changes |
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122 | !!---------------------------------------------------------------------- |
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123 | !! * Arguments |
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124 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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125 | !!---------------------------------------------------------------------- |
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126 | ! Correction of the Divergence at some straits |
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127 | |
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128 | CALL div_bab_el_mandeb_tan ! New divergence at Bab el Mandeb |
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129 | |
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130 | CALL div_gibraltar_tan ! New divergence at Gibraltar |
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131 | |
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132 | CALL div_hormuz_tan ! Hormuz Strait ( persian Gulf) |
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133 | |
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134 | ! Lateral boundary conditions on hdivn |
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135 | CALL lbc_lnk( hdivn_tl, 'T', 1.0_wp ) |
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136 | |
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137 | |
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138 | END SUBROUTINE div_cla_tan |
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139 | |
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140 | SUBROUTINE div_cla_adj ( kt ) |
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141 | !!---------------------------------------------------------------------- |
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142 | !! *** ROUTINE div_cla_adj *** |
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143 | !! |
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144 | !! ** Purpose of the direct routine: |
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145 | !! update the horizontal divergence of the velocity field |
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146 | !! for at some straits ( Gibraltar, Bab el Mandeb and Hormuz ). |
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147 | !! |
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148 | !! ** Method : With imposed transport at each strait, we compute |
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149 | !! corresponding velocities and update horizontal divergence. |
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150 | !! Apply lateral boundary conditions on hdivn through a call |
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151 | !! to routine lbc_lnk. |
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152 | !! |
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153 | !! ** Action : update hdivn array : the now horizontal divergence |
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154 | !! |
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155 | !! History of the direct routine: |
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156 | !! 8.5 ! 02-11 (A. Bozec) Free form, F90 |
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157 | !! History of the TAM routine: |
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158 | !! 9.0 ! 08-06 (A. Vidard) Skeleton |
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159 | !! 9.0 ! 08-09 (A. Vidard) adjoint of the 02-11 version |
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160 | !! 9.0 ! 09-02 (A. Vidard) cosmetic changes |
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161 | !!---------------------------------------------------------------------- |
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162 | !! * Arguments |
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163 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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164 | !!---------------------------------------------------------------------- |
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165 | ! Correction of the Divergence at some straits |
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166 | |
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167 | ! Lateral boundary conditions on hdivn |
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168 | CALL lbc_lnk_adj( hdivn_ad, 'T', 1.0_wp ) |
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169 | |
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170 | CALL div_hormuz_adj ! Hormuz Strait ( persian Gulf) |
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171 | |
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172 | CALL div_gibraltar_adj ! New divergence at Gibraltar |
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173 | |
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174 | CALL div_bab_el_mandeb_adj ! New divergence at Bab el Mandeb |
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175 | |
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176 | END SUBROUTINE div_cla_adj |
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177 | |
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178 | SUBROUTINE div_bab_el_mandeb_tan |
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179 | !!---------------------------------------------------------------------- |
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180 | !! *** ROUTINE div_bab_el_mandeb_tan *** |
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181 | !! |
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182 | !! ** Purpose of the direct routine: |
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183 | !! Update the now horizontal divergence of the velocity |
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184 | !! field in Bab el Mandeb ( Red Sea strait ). |
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185 | !! |
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186 | !! ** Method of the direct routine: |
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187 | !! Set the velocity field at each side of the strait : |
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188 | !! | |
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189 | !! |/ \| N |\ /| |
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190 | !! |_|_|______ | |___|______ |
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191 | !! 88 | |<- W - - E 88 | |<- |
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192 | !! 87 |___|______ | 87 |___|->____ |
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193 | !! 160 161 S 160 161 |
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194 | !! horizontal view horizontal view |
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195 | !! surface depth |
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196 | !! The now divergence is given by : |
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197 | !! hdivn = 1/(e1t*e2t) [ di(e2u un) + dj(e1v vn) ] |
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198 | !! |
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199 | !! ** History of the direct routine: |
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200 | !! ! (A. Bozec) Original code |
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201 | !! 8.5 ! 02-11 (A. Bozec) F90: Free form and module |
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202 | !! ** History of the tangent routine: |
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203 | !! ! 08-09 (A. Vidard) Tangent linear of the 02-11 version |
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204 | !! 9.0 ! 09-02 (A. Vidard) cosmetic changes |
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205 | !!---------------------------------------------------------------------- |
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206 | !! * Local declarations |
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207 | INTEGER :: ji, jj, jk ! dummy loop indices |
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208 | REAL(wp) :: zsu, zvt, zwei ! temporary scalar |
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209 | REAL(wp), DIMENSION (jpk) :: zu1_rs_tl, zu2_rs_tl, zu3_rs_tl |
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210 | !!--------------------------------------------------------------------- |
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211 | |
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212 | ! EMP on the Red Sea |
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213 | ! ------------------ |
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214 | |
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215 | zempred_tl = 0.e0 |
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216 | zwei = 0.e0 |
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217 | DO jj = mj0(87), mj1(96) |
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218 | DO ji = mi0(148), mi1(160) |
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219 | zwei = tmask(ji,jj,1) * e1t(ji,jj) * e2t(ji,jj) |
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220 | zempred_tl = zempred_tl + emp_tl(ji,jj) * zwei |
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221 | END DO |
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222 | END DO |
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223 | IF( lk_mpp ) CALL mpp_sum( zempred_tl ) ! sum with other processors value |
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224 | |
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225 | |
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226 | ! convert in m3 |
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227 | zempred_tl = zempred_tl * 1.e-3 |
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228 | |
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229 | ! Velocity profile at each point |
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230 | ! ------------------------------ |
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231 | |
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232 | zu1_rs_tl(:) = 0.0_wp |
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233 | zu2_rs_tl(:) = 0.0_wp |
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234 | zu3_rs_tl(:) = 0.0_wp |
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235 | |
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236 | ! velocity profile at 161,88 North point |
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237 | ! we imposed zisw_rs + EMP above the Red Sea |
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238 | DO jk = 1, 8 |
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239 | DO jj = mj0(88), mj1(88) |
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240 | DO ji = mi0(160), mi1(160) |
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241 | zu1_rs_tl(jk) = zu1_rs_tl(jk) - ( zempred_tl / 8. ) / ( e2u(ji, jj) * fse3u(ji, jj,jk) ) |
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242 | END DO |
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243 | END DO |
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244 | END DO |
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245 | |
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246 | ! velocity profile at 160,88 North point |
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247 | ! we imposed zisw_rs + EMP above the Red Sea |
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248 | DO jk = 1, 10 |
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249 | DO jj = mj0(88), mj1(88) |
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250 | DO ji = mi0(160), mi1(160) |
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251 | zu3_rs_tl(jk) = zu3_rs_tl(jk) + ( zempred_tl / 10. ) / ( e1v(ji, jj) * fse3v(ji, jj,jk) ) |
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252 | END DO |
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253 | END DO |
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254 | END DO |
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255 | |
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256 | ! Divergence at each point of the straits |
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257 | ! --------------------------------------- |
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258 | |
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259 | ! compute the new divergence at 161,88 |
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260 | DO jk = 1, 21 |
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261 | DO jj = mj0(88), mj1(88) |
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262 | DO ji = mi0(161), mi1(161) |
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263 | zvt = e1t(ji, jj) * e2t(ji, jj) * fse3t(ji, jj,jk) |
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264 | zsu = e2u(ji-1, jj) * fse3u(ji-1, jj,jk) |
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265 | hdivn_tl(ji, jj ,jk) = hdivn_tl(ji, jj ,jk) - ( 1. / zvt ) * zsu * zu1_rs_tl(jk) |
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266 | END DO |
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267 | END DO |
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268 | END DO |
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269 | |
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270 | ! compute the new divergence at 161,87 |
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271 | DO jk = 1, 21 |
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272 | DO jj = mj0(87), mj1(87) |
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273 | DO ji = mi0(161), mi1(161) |
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274 | zvt = e1t(ji, jj) * e2t(ji, jj) * fse3t(ji, jj,jk) |
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275 | zsu = e2u(ji-1, jj) * fse3u(ji-1, jj,jk) |
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276 | hdivn_tl(ji, jj,jk) = hdivn_tl(ji, jj,jk) - ( 1. / zvt ) * zsu * zu2_rs_tl(jk) |
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277 | END DO |
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278 | END DO |
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279 | END DO |
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280 | |
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281 | ! compute the divergence at 160,89 |
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282 | DO jk = 1, 18 |
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283 | DO jj = mj0(89), mj1(89) |
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284 | DO ji = mi0(160), mi1(160) |
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285 | zvt = e1t(ji, jj) * e2t(ji,jj) * fse3t(ji,jj,jk) |
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286 | zsu = e1v(ji, jj-1) * fse3v(ji, jj-1,jk) |
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287 | hdivn_tl(ji, jj,jk) = hdivn_tl(ji, jj,jk) - ( 1. / zvt ) * zsu * zu3_rs_tl(jk) |
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288 | END DO |
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289 | END DO |
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290 | END DO |
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291 | |
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292 | END SUBROUTINE div_bab_el_mandeb_tan |
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293 | |
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294 | |
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295 | SUBROUTINE div_bab_el_mandeb_adj |
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296 | !!---------------------------------------------------------------------- |
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297 | !! *** ROUTINE div_bab_el_mandeb_adj *** |
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298 | !! |
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299 | !! ** Purpose of the direct routine: |
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300 | !! Update the now horizontal divergence of the velocity |
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301 | !! field in Bab el Mandeb ( Red Sea strait ). |
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302 | !! |
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303 | !! ** Method of the direct routine: |
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304 | !! Set the velocity field at each side of the strait : |
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305 | !! | |
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306 | !! |/ \| N |\ /| |
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307 | !! |_|_|______ | |___|______ |
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308 | !! 88 | |<- W - - E 88 | |<- |
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309 | !! 87 |___|______ | 87 |___|->____ |
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310 | !! 160 161 S 160 161 |
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311 | !! horizontal view horizontal view |
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312 | !! surface depth |
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313 | !! The now divergence is given by : |
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314 | !! hdivn = 1/(e1t*e2t) [ di(e2u un) + dj(e1v vn) ] |
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315 | !! |
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316 | !! ** History of the direct routine: |
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317 | !! ! (A. Bozec) Original code |
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318 | !! 8.5 ! 02-11 (A. Bozec) F90: Free form and module |
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319 | !! ** History of the adjoint routine: |
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320 | !! ! 08-09 (A. Vidard) Adjoint of the 02-11 version |
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321 | !! 9.0 ! 09-02 (A. Vidard) cosmetic changes |
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322 | !!---------------------------------------------------------------------- |
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323 | !! * Local declarations |
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324 | INTEGER :: ji, jj, jk ! dummy loop indices |
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325 | REAL(wp) :: zsu, zvt, zwei ! temporary scalar |
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326 | REAL(wp), DIMENSION (jpk) :: zu1_rs_ad, zu2_rs_ad, zu3_rs_ad |
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327 | !!--------------------------------------------------------------------- |
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328 | |
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329 | zempred_ad = 0.e0 |
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330 | zu1_rs_ad(:) = 0.0_wp |
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331 | zu2_rs_ad(:) = 0.0_wp |
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332 | zu3_rs_ad(:) = 0.0_wp |
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333 | zwei = 0.e0 |
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334 | |
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335 | ! Divergence at each point of the straits |
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336 | ! --------------------------------------- |
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337 | |
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338 | ! compute the divergence at 160,89 |
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339 | DO jk = 18, 1, -1 |
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340 | DO jj = mj0(89), mj1(89) |
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341 | DO ji = mi0(160), mi1(160) |
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342 | zvt = e1t(ji, jj) * e2t(ji,jj) * fse3t(ji,jj,jk) |
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343 | zsu = e1v(ji, jj-1) * fse3v(ji, jj-1,jk) |
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344 | zu3_rs_ad(jk) = zu3_rs_ad(jk) - hdivn_ad(ji, jj,jk) * ( 1. / zvt ) * zsu |
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345 | END DO |
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346 | END DO |
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347 | END DO |
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348 | |
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349 | ! compute the new divergence at 161,87 |
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350 | DO jk = 21, 1, -1 |
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351 | DO jj = mj0(87), mj1(87) |
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352 | DO ji = mi0(161), mi1(161) |
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353 | zvt = e1t(ji, jj) * e2t(ji, jj) * fse3t(ji, jj,jk) |
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354 | zsu = e2u(ji-1, jj) * fse3u(ji-1, jj,jk) |
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355 | zu2_rs_ad(jk) = zu2_rs_ad(jk) - hdivn_ad(ji, jj,jk) * ( 1. / zvt ) * zsu |
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356 | END DO |
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357 | END DO |
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358 | END DO |
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359 | |
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360 | ! compute the new divergence at 161,88 |
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361 | DO jk = 21, 1, -1 |
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362 | DO jj = mj0(88), mj1(88) |
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363 | DO ji = mi0(161), mi1(161) |
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364 | zvt = e1t(ji, jj) * e2t(ji, jj) * fse3t(ji, jj,jk) |
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365 | zsu = e2u(ji-1, jj) * fse3u(ji-1, jj,jk) |
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366 | zu1_rs_ad(jk) = zu1_rs_ad(jk) - hdivn_ad(ji, jj ,jk) * ( 1. / zvt ) * zsu |
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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 | |
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371 | ! Velocity profile at each point |
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372 | ! ------------------------------ |
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373 | |
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374 | ! velocity profile at 160,88 North point |
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375 | ! we imposed zisw_rs + EMP above the Red Sea |
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376 | DO jk = 10, 1, -1 |
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377 | DO jj = mj0(88), mj1(88) |
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378 | DO ji = mi0(160), mi1(160) |
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379 | zempred_ad = zempred_ad + ( zu3_rs_ad(jk) / 10. ) / ( e1v(ji, jj) * fse3v(ji, jj,jk) ) |
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380 | END DO |
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381 | END DO |
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382 | END DO |
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383 | |
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384 | ! velocity profile at 161,88 North point |
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385 | ! we imposed zisw_rs + EMP above the Red Sea |
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386 | DO jk = 8, 1, -1 |
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387 | DO jj = mj0(88), mj1(88) |
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388 | DO ji = mi0(160), mi1(160) |
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389 | zempred_ad = zempred_ad - ( zu1_rs_ad(jk) / 8. ) / ( e2u(ji, jj) * fse3u(ji, jj,jk) ) |
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390 | END DO |
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391 | END DO |
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392 | END DO |
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393 | |
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394 | zu1_rs_ad(:) = 0.0_wp |
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395 | zu2_rs_ad(:) = 0.0_wp |
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396 | zu3_rs_ad(:) = 0.0_wp |
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397 | |
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398 | ! EMP on the Red Sea |
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399 | ! ------------------ |
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400 | |
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401 | ! convert in m3 |
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402 | zempred_ad = zempred_ad * 1.e-3 |
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403 | |
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404 | IF( lk_mpp ) CALL mpp_sum( zempred_ad ) ! sum with other processors value |
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405 | |
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406 | DO jj = mj1(96), mj0(87), -1 |
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407 | DO ji = mi1(160), mi0(148), -1 |
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408 | zwei = tmask(ji,jj,1) * e1t(ji,jj) * e2t(ji,jj) |
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409 | emp_ad(ji,jj) = emp_ad(ji,jj) + zempred_ad * zwei |
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410 | END DO |
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411 | END DO |
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412 | zempred_ad = 0.e0 |
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413 | |
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414 | END SUBROUTINE div_bab_el_mandeb_adj |
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415 | |
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416 | SUBROUTINE div_gibraltar_tan |
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417 | !! ------------------------------------------------------------------- |
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418 | !! *** ROUTINE div_gibraltar_tan *** |
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419 | !! |
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420 | !! ** Purpose of the direct routine: |
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421 | !! update the now horizontal divergence of the velocity |
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422 | !! field in Gibraltar. |
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423 | !! |
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424 | !! ** Method of the direct routine: |
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425 | !! ________________ N ________________ |
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426 | !! 102 | |-> | <-| |<- |
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427 | !! 101 ___->|____|_____ W - - E ___->|____|_____ |
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428 | !! 139 140 141 | 139 140 141 |
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429 | !! horizontal view S horizontal view |
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430 | !! surface depth |
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431 | !! The now divergence is given by : |
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432 | !! hdivn = 1/(e1t*e2t) [ di(e2u un) + dj(e1v vn) ] |
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433 | !! |
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434 | !! ** History of the direct routine: |
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435 | !! ! (A. Bozec) Original code |
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436 | !! 8.5 ! 02-10 (A. Bozec) F90: Free form and module |
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437 | !! ** History of the tangent routine: |
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438 | !! ! 08-09 (A. Vidard) Tangent linear of the 02-10 version |
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439 | !! 9.0 ! 09-02 (A. Vidard) cosmetic changes |
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440 | !!--------------------------------------------------------------------- |
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441 | !! * Local declarations |
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442 | INTEGER :: ji, jj, jk ! dummy loop indices |
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443 | REAL(wp) :: zsu, zvt |
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444 | REAL(wp) :: zwei |
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445 | REAL(wp), DIMENSION (jpk) :: zu1_ms_tl, zu2_ms_tl, zu3_ms_tl |
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446 | !!--------------------------------------------------------------------- |
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447 | |
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448 | ! EMP on the Mediterranean Sea |
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449 | ! ---------------------------- |
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450 | |
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451 | zempmed_tl = 0.e0 |
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452 | zwei = 0.e0 |
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453 | DO jj = mj0(96), mj1(110) |
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454 | DO ji = mi0(141),mi1(181) |
---|
455 | zwei = tmask(ji,jj,1) * e1t(ji,jj) * e2t(ji,jj) |
---|
456 | zempmed_tl = zempmed_tl + emp_tl(ji,jj) * zwei |
---|
457 | END DO |
---|
458 | END DO |
---|
459 | IF( lk_mpp ) CALL mpp_sum( zempmed_tl ) ! sum with other processors value |
---|
460 | |
---|
461 | ! minus 2 points in Red Sea and 3 in Atlantic |
---|
462 | DO jj = mj0(96), mj1(96) |
---|
463 | DO ji = mi0(148),mi1(148) |
---|
464 | zempmed_tl = zempmed_tl - emp_tl(ji , jj) * tmask(ji , jj,1) * e1t(ji , jj) * e2t(ji , jj) & |
---|
465 | - emp_tl(ji+1, jj) * tmask(ji+1, jj,1) * e1t(ji+1, jj) * e2t(ji+1, jj) |
---|
466 | END DO |
---|
467 | END DO |
---|
468 | |
---|
469 | ! convert in m3 |
---|
470 | zempmed_tl = zempmed_tl * 1.e-3 |
---|
471 | |
---|
472 | ! Velocity profile at each point |
---|
473 | ! ------------------------------ |
---|
474 | |
---|
475 | zu1_ms_tl(:) = 0.0_wp |
---|
476 | zu2_ms_tl(:) = 0.0_wp |
---|
477 | zu3_ms_tl(:) = 0.0_wp |
---|
478 | |
---|
479 | ! velocity profile at 139,101 South point |
---|
480 | ! we imposed zisw + EMP above the Mediterranean Sea |
---|
481 | DO jk = 1, 14 |
---|
482 | DO jj = mj0(102), mj1(102) |
---|
483 | DO ji = mi0(140), mi1(140) |
---|
484 | zu1_ms_tl(jk) = zu1_ms_tl(jk) + ( zempmed_tl / 14. ) / ( e2u(ji-1, jj-1) * fse3u(ji-1, jj-1,jk) ) |
---|
485 | END DO |
---|
486 | END DO |
---|
487 | END DO |
---|
488 | |
---|
489 | ! velocity profile at 141,102 East point |
---|
490 | ! flux in surface inflow of the Atlantic ocean + EMP |
---|
491 | DO jk = 1, 14 |
---|
492 | DO jj = mj0(102), mj1(102) |
---|
493 | DO ji = mi0(140), mi1(140) |
---|
494 | zu3_ms_tl(jk) = zu3_ms_tl(jk) + ( zempmed_tl / 14. ) / ( e2u(ji, jj) * fse3u(ji, jj,jk) ) |
---|
495 | END DO |
---|
496 | END DO |
---|
497 | END DO |
---|
498 | |
---|
499 | ! Divergence at each point of the straits |
---|
500 | ! --------------------------------------- |
---|
501 | |
---|
502 | ! compute the new divergence at 139,101 South point |
---|
503 | DO jk = 1, jpk |
---|
504 | DO jj = mj0(101), mj1(101) |
---|
505 | DO ji = mi0(139), mi1(139) |
---|
506 | zvt = e1t(ji, jj) * e2t(ji, jj) * fse3t(ji, jj,jk) |
---|
507 | zsu = e2u(ji, jj) * fse3u(ji, jj,jk) |
---|
508 | hdivn_tl(ji, jj,jk) = hdivn_tl(ji, jj,jk) + ( 1. / zvt ) * zsu * zu1_ms_tl(jk) |
---|
509 | END DO |
---|
510 | END DO |
---|
511 | END DO |
---|
512 | |
---|
513 | ! compute the new divergence at 139,102 deep North point |
---|
514 | DO jk = 1, jpk |
---|
515 | DO jj = mj0(102), mj1(102) |
---|
516 | DO ji = mi0(139), mi1(139) |
---|
517 | zvt = e1t(ji, jj) * e2t(ji, jj) * fse3t(ji, jj,jk) |
---|
518 | zsu = e2u(ji, jj) * fse3u(ji, jj,jk) |
---|
519 | hdivn_tl(ji, jj,jk) = hdivn_tl(ji, jj,jk) + ( 1. / zvt ) * zsu * zu2_ms_tl(jk) |
---|
520 | END DO |
---|
521 | END DO |
---|
522 | END DO |
---|
523 | |
---|
524 | ! compute the divergence at 141,102 East point |
---|
525 | DO jk = 1, jpk |
---|
526 | DO jj = mj0(102), mj1(102) |
---|
527 | DO ji = mi0(141), mi1(141) |
---|
528 | zvt = e1t(ji, jj) * e2t(ji, jj) * fse3t(ji, jj,jk) |
---|
529 | zsu = e2u(ji-1, jj) * fse3u(ji-1, jj,jk) |
---|
530 | hdivn_tl(ji, jj,jk) = hdivn_tl(ji, jj,jk) - ( 1. / zvt ) * zsu * zu3_ms_tl(jk) |
---|
531 | END DO |
---|
532 | END DO |
---|
533 | END DO |
---|
534 | |
---|
535 | END SUBROUTINE div_gibraltar_tan |
---|
536 | |
---|
537 | SUBROUTINE div_gibraltar_adj |
---|
538 | !! ------------------------------------------------------------------- |
---|
539 | !! *** ROUTINE div_gibraltar_adj *** |
---|
540 | !! |
---|
541 | !! ** Purpose of the direct routine: |
---|
542 | !! update the now horizontal divergence of the velocity |
---|
543 | !! field in Gibraltar. |
---|
544 | !! |
---|
545 | !! ** Method of the direct routine: |
---|
546 | !! ________________ N ________________ |
---|
547 | !! 102 | |-> | <-| |<- |
---|
548 | !! 101 ___->|____|_____ W - - E ___->|____|_____ |
---|
549 | !! 139 140 141 | 139 140 141 |
---|
550 | !! horizontal view S horizontal view |
---|
551 | !! surface depth |
---|
552 | !! The now divergence is given by : |
---|
553 | !! hdivn = 1/(e1t*e2t) [ di(e2u un) + dj(e1v vn) ] |
---|
554 | !! |
---|
555 | !! ** History of the direct routine: |
---|
556 | !! ! (A. Bozec) Original code |
---|
557 | !! 8.5 ! 02-10 (A. Bozec) F90: Free form and module |
---|
558 | !! ** History of the adjoint routine: |
---|
559 | !! ! 08-09 (A. Vidard) Adjoint of the 02-10 version |
---|
560 | !! 9.0 ! 09-02 (A. Vidard) cosmetic changes |
---|
561 | !!--------------------------------------------------------------------- |
---|
562 | !! * Local declarations |
---|
563 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
564 | REAL(wp) :: zsu, zvt |
---|
565 | REAL(wp) :: zwei |
---|
566 | REAL(wp), DIMENSION (jpk) :: zu1_ms_ad, zu2_ms_ad, zu3_ms_ad |
---|
567 | !!--------------------------------------------------------------------- |
---|
568 | |
---|
569 | zu1_ms_ad = 0.0_wp |
---|
570 | zu2_ms_ad = 0.0_wp |
---|
571 | zu3_ms_ad = 0.0_wp |
---|
572 | zempmed_ad = 0.e0 |
---|
573 | zwei = 0.e0 |
---|
574 | |
---|
575 | ! Divergence at each point of the straits |
---|
576 | ! --------------------------------------- |
---|
577 | |
---|
578 | ! compute the divergence at 141,102 East point |
---|
579 | DO jk = jpk, 1, -1 |
---|
580 | DO jj = mj0(102), mj1(102) |
---|
581 | DO ji = mi0(141), mi1(141) |
---|
582 | zvt = e1t(ji, jj) * e2t(ji, jj) * fse3t(ji, jj,jk) |
---|
583 | zsu = e2u(ji-1, jj) * fse3u(ji-1, jj,jk) |
---|
584 | zu3_ms_ad(jk) = zu3_ms_ad(jk) - hdivn_ad(ji, jj,jk) * ( 1. / zvt ) * zsu |
---|
585 | END DO |
---|
586 | END DO |
---|
587 | END DO |
---|
588 | |
---|
589 | ! compute the new divergence at 139,102 deep North point |
---|
590 | DO jk = jpk, 1, -1 |
---|
591 | DO jj = mj0(102), mj1(102) |
---|
592 | DO ji = mi0(139), mi1(139) |
---|
593 | zvt = e1t(ji, jj) * e2t(ji, jj) * fse3t(ji, jj,jk) |
---|
594 | zsu = e2u(ji, jj) * fse3u(ji, jj,jk) |
---|
595 | zu2_ms_ad(jk) = zu2_ms_ad(jk) + hdivn_ad(ji, jj,jk) * ( 1. / zvt ) * zsu |
---|
596 | END DO |
---|
597 | END DO |
---|
598 | END DO |
---|
599 | |
---|
600 | ! compute the new divergence at 139,101 South point |
---|
601 | DO jk = jpk, 1, -1 |
---|
602 | DO jj = mj0(101), mj1(101) |
---|
603 | DO ji = mi0(139), mi1(139) |
---|
604 | zvt = e1t(ji, jj) * e2t(ji, jj) * fse3t(ji, jj,jk) |
---|
605 | zsu = e2u(ji, jj) * fse3u(ji, jj,jk) |
---|
606 | zu1_ms_ad(jk) = zu1_ms_ad(jk) + hdivn_ad(ji, jj,jk) * ( 1. / zvt ) * zsu |
---|
607 | END DO |
---|
608 | END DO |
---|
609 | END DO |
---|
610 | |
---|
611 | ! Velocity profile at each point |
---|
612 | ! ------------------------------ |
---|
613 | |
---|
614 | ! velocity profile at 141,102 East point |
---|
615 | ! flux in surface inflow of the Aadantic ocean + EMP |
---|
616 | DO jk = 14, 1, -1 |
---|
617 | DO jj = mj0(102), mj1(102) |
---|
618 | DO ji = mi0(140), mi1(140) |
---|
619 | zempmed_ad = zempmed_ad + ( zu3_ms_ad(jk) / 14. ) / ( e2u(ji, jj) * fse3u(ji, jj,jk) ) |
---|
620 | END DO |
---|
621 | END DO |
---|
622 | END DO |
---|
623 | |
---|
624 | ! velocity profile at 139,101 South point |
---|
625 | ! we imposed zisw + EMP above the Mediterranean Sea |
---|
626 | DO jk = 14, 1, -1 |
---|
627 | DO jj = mj0(102), mj1(102) |
---|
628 | DO ji = mi0(140), mi1(140) |
---|
629 | zempmed_ad = zempmed_ad + ( zu1_ms_ad(jk) / 14. ) / ( e2u(ji-1, jj-1) * fse3u(ji-1, jj-1,jk) ) |
---|
630 | END DO |
---|
631 | END DO |
---|
632 | END DO |
---|
633 | zu1_ms_ad(:) = 0.0_wp |
---|
634 | zu2_ms_ad(:) = 0.0_wp |
---|
635 | zu3_ms_ad(:) = 0.0_wp |
---|
636 | |
---|
637 | ! EMP on the Mediterranean Sea |
---|
638 | ! ---------------------------- |
---|
639 | |
---|
640 | ! convert in m3 |
---|
641 | zempmed_ad = zempmed_ad * 1.e-3 |
---|
642 | |
---|
643 | ! minus 2 points in Red Sea and 3 in Aadantic |
---|
644 | DO jj = mj0(96), mj1(96) |
---|
645 | DO ji = mi0(148),mi1(148) |
---|
646 | emp_ad(ji , jj) = emp_ad(ji , jj) - zempmed_ad * tmask(ji , jj,1) * e1t(ji , jj) * e2t(ji , jj) |
---|
647 | emp_ad(ji+1, jj) = emp_ad(ji+1, jj) - zempmed_ad * tmask(ji+1, jj,1) * e1t(ji+1, jj) * e2t(ji+1, jj) |
---|
648 | END DO |
---|
649 | END DO |
---|
650 | IF( lk_mpp ) CALL mpp_sum( zempmed_ad ) ! sum with other processors value |
---|
651 | |
---|
652 | DO jj = mj1(110), mj0(96), -1 |
---|
653 | DO ji = mi1(181), mi0(141), -1 |
---|
654 | zwei = tmask(ji,jj,1) * e1t(ji,jj) * e2t(ji,jj) |
---|
655 | emp_ad(ji,jj) = emp_ad(ji,jj) + zempmed_ad * zwei |
---|
656 | END DO |
---|
657 | END DO |
---|
658 | zempmed_ad = 0.e0 |
---|
659 | |
---|
660 | END SUBROUTINE div_gibraltar_adj |
---|
661 | |
---|
662 | |
---|
663 | |
---|
664 | SUBROUTINE div_hormuz_tan |
---|
665 | !! ------------------------------------------------------------------- |
---|
666 | !! *** ROUTINE div_hormuz_tan *** |
---|
667 | !! |
---|
668 | !! ** Purpose of the direct routine: |
---|
669 | !! update the now horizontal divergence of the velocity |
---|
670 | !! field in Hormuz ( Persic Gulf strait ) . |
---|
671 | !! |
---|
672 | !! ** Method of the direct routine: |
---|
673 | !! The now divergence is given by : |
---|
674 | !! hdivn = 1/(e1t*e2t) [ di(e2u un) + dj(e1v vn) ] |
---|
675 | !! |
---|
676 | !! ** History of the direct routine |
---|
677 | !! ! (A. Bozec) Original code |
---|
678 | !! 8.5 ! 02-10 (A. Bozec) F90: Free form and module |
---|
679 | !! ** History of the tangent routine: |
---|
680 | !! ! 08-09 (A. Vidard) Tangent linear of the 02-10 version |
---|
681 | !! 9.0 ! 09-02 (A. Vidard) cosmetic changes |
---|
682 | !!--------------------------------------------------------------------- |
---|
683 | !! * Local declarations |
---|
684 | !... nothing |
---|
685 | |
---|
686 | END SUBROUTINE div_hormuz_tan |
---|
687 | SUBROUTINE div_hormuz_adj |
---|
688 | !! ------------------------------------------------------------------- |
---|
689 | !! *** ROUTINE div_hormuz_adj *** |
---|
690 | !! |
---|
691 | !! ** Purpose of the direct routine: |
---|
692 | !! update the now horizontal divergence of the velocity |
---|
693 | !! field in Hormuz ( Persic Gulf strait ) . |
---|
694 | !! |
---|
695 | !! ** Method of the direct routine: |
---|
696 | !! The now divergence is given by : |
---|
697 | !! hdivn = 1/(e1t*e2t) [ di(e2u un) + dj(e1v vn) ] |
---|
698 | !! |
---|
699 | !! ** History of the direct routine |
---|
700 | !! ! (A. Bozec) Original code |
---|
701 | !! 8.5 ! 02-10 (A. Bozec) F90: Free form and module |
---|
702 | !! ** History of the Adjoint routine: |
---|
703 | !! ! 08-09 (A. Vidard) Adjoint of the 02-10 version |
---|
704 | !! 9.0 ! 09-02 (A. Vidard) cosmetic changes |
---|
705 | !!--------------------------------------------------------------------- |
---|
706 | !! * Local declarations |
---|
707 | !... nothing |
---|
708 | |
---|
709 | END SUBROUTINE div_hormuz_adj |
---|
710 | |
---|
711 | SUBROUTINE div_cla_adj_tst( kumadt ) |
---|
712 | !!----------------------------------------------------------------------- |
---|
713 | !! |
---|
714 | !! *** ROUTINE dyn_adv_adj_tst *** |
---|
715 | !! |
---|
716 | !! ** Purpose : Test the adjoint routine. |
---|
717 | !! |
---|
718 | !! ** Method : Verify the scalar product |
---|
719 | !! |
---|
720 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
721 | !! |
---|
722 | !! where L = tangent routine |
---|
723 | !! L^T = adjoint routine |
---|
724 | !! W = diagonal matrix of scale factors |
---|
725 | !! dx = input perturbation (random field) |
---|
726 | !! dy = L dx |
---|
727 | !! |
---|
728 | !! ** Action : Separate tests are applied for the following dx and dy: |
---|
729 | !! |
---|
730 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
---|
731 | !! |
---|
732 | !! History : |
---|
733 | !! ! 08-08 (A. Vidard) |
---|
734 | !!----------------------------------------------------------------------- |
---|
735 | !! * Modules used |
---|
736 | |
---|
737 | !! * Arguments |
---|
738 | INTEGER, INTENT(IN) :: & |
---|
739 | & kumadt ! Output unit |
---|
740 | |
---|
741 | INTEGER :: & |
---|
742 | & ji, & ! dummy loop indices |
---|
743 | & jj, & |
---|
744 | & jk, & |
---|
745 | & jt, & |
---|
746 | & jii, & |
---|
747 | & jis, & |
---|
748 | & jji, & |
---|
749 | & jjs |
---|
750 | INTEGER, DIMENSION(jpi,jpj) :: & |
---|
751 | & iseed_2d ! 2D seed for the random number generator |
---|
752 | |
---|
753 | !! * Local declarations |
---|
754 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
755 | & zhdivn_tlin, & |
---|
756 | & zhdivn_tlout, & |
---|
757 | & zhdivn_adin, & |
---|
758 | & zhdivn_adout, & |
---|
759 | & zhdiv |
---|
760 | REAL(KIND=wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
761 | & zemp_tlin, & |
---|
762 | & zemp_adout, & |
---|
763 | & zemp |
---|
764 | REAL(KIND=wp) :: & |
---|
765 | & zsp1, & ! scalar product involving the tangent routine |
---|
766 | & zsp2, & ! scalar product involving the adjoint routine |
---|
767 | & zsp2_1, & ! scalar product components |
---|
768 | & zsp2_2, & |
---|
769 | & z2dt, & ! temporary scalars |
---|
770 | & zraur |
---|
771 | CHARACTER(LEN=14) :: cl_name |
---|
772 | |
---|
773 | ! Allocate memory |
---|
774 | |
---|
775 | ALLOCATE( & |
---|
776 | & zhdivn_tlin(jpi,jpj,jpk), & |
---|
777 | & zhdivn_tlout(jpi,jpj,jpk), & |
---|
778 | & zhdivn_adin(jpi,jpj,jpk), & |
---|
779 | & zhdivn_adout(jpi,jpj,jpk), & |
---|
780 | & zhdiv(jpi,jpj,jpk), & |
---|
781 | & zemp_tlin(jpi,jpj), & |
---|
782 | & zemp_adout(jpi,jpj), & |
---|
783 | & zemp (jpi,jpj) & |
---|
784 | & ) |
---|
785 | ! Initialize constants |
---|
786 | |
---|
787 | z2dt = 2.0_wp * rdt ! time step: leap-frog |
---|
788 | zraur = 1.0_wp / rau0 ! inverse density of pure water (m3/kg) |
---|
789 | !================================================================== |
---|
790 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
---|
791 | ! dy = ( hdivb_tl, hdivn_tl ) |
---|
792 | !================================================================== |
---|
793 | |
---|
794 | DO jt = 2, 1, -1 |
---|
795 | !-------------------------------------------------------------------- |
---|
796 | ! Reset the tangent and adjoint variables |
---|
797 | !-------------------------------------------------------------------- |
---|
798 | zhdivn_tlin(:,:,:) = 0.0_wp |
---|
799 | zhdivn_tlout(:,:,:) = 0.0_wp |
---|
800 | zhdivn_adin(:,:,:) = 0.0_wp |
---|
801 | zhdivn_adout(:,:,:) = 0.0_wp |
---|
802 | zemp_tlin(:,:) = 0.0_wp |
---|
803 | zemp_adout(:,:) = 0.0_wp |
---|
804 | |
---|
805 | emp_tl(:,:) = 0.0_wp |
---|
806 | emp_ad(:,:) = 0.0_wp |
---|
807 | hdivn_tl(:,:,:) = 0.0_wp |
---|
808 | hdivn_ad(:,:,:) = 0.0_wp |
---|
809 | |
---|
810 | SELECT CASE (jt) |
---|
811 | CASE(1) ! Bab el Madeb |
---|
812 | jji = mj0(86) |
---|
813 | jjs = mj1(97) |
---|
814 | jii = mi0(147) |
---|
815 | jis = mi1(162) |
---|
816 | CASE(2) ! Gibraltar |
---|
817 | jji = mj0(95) |
---|
818 | jjs = mj1(111) |
---|
819 | jii = mi0(138) |
---|
820 | jis = mi1(182) |
---|
821 | END SELECT |
---|
822 | |
---|
823 | !-------------------------------------------------------------------- |
---|
824 | ! Initialize the tangent input with random noise: dx |
---|
825 | !-------------------------------------------------------------------- |
---|
826 | |
---|
827 | DO jj = 1, jpj |
---|
828 | DO ji = 1, jpi |
---|
829 | iseed_2d(ji,jj) = - ( 596035 + & |
---|
830 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
831 | END DO |
---|
832 | END DO |
---|
833 | CALL grid_random( iseed_2d, zemp, 'T', 0.0_wp, stdemp ) |
---|
834 | |
---|
835 | DO jj = 1, jpj |
---|
836 | DO ji = 1, jpi |
---|
837 | iseed_2d(ji,jj) = - ( 523432 + & |
---|
838 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
839 | END DO |
---|
840 | END DO |
---|
841 | CALL grid_random( iseed_2d, zhdiv, 'T', 0.0_wp, stdh ) |
---|
842 | |
---|
843 | DO jk = 1, jpk |
---|
844 | DO jj = nldj, nlej |
---|
845 | DO ji = nldi, nlei |
---|
846 | zhdivn_tlin(ji,jj,jk) = zhdiv(ji,jj,jk) |
---|
847 | END DO |
---|
848 | END DO |
---|
849 | END DO |
---|
850 | DO jj = nldj, nlej |
---|
851 | DO ji = nldi, nlei |
---|
852 | zemp_tlin(ji,jj) = zemp(ji,jj) / ( z2dt * zraur ) |
---|
853 | END DO |
---|
854 | END DO |
---|
855 | ! hdivn_tl(:,:,:) = zhdivn_tlin(:,:,:) |
---|
856 | ! emp_tl(:,:) = zemp_tlin(:,:) |
---|
857 | |
---|
858 | DO jk = 1, jpk |
---|
859 | DO jj = jji, jjs |
---|
860 | DO ji = jii, jis |
---|
861 | hdivn_tl(ji,jj,jk) = zhdivn_tlin(ji,jj,jk) |
---|
862 | emp_tl(ji,jj) = zemp_tlin(ji,jj) |
---|
863 | END DO |
---|
864 | END DO |
---|
865 | END DO |
---|
866 | |
---|
867 | CALL div_cla_tan( nit000 ) |
---|
868 | |
---|
869 | zhdivn_tlout(:,:,:) = hdivn_tl(:,:,:) |
---|
870 | |
---|
871 | !-------------------------------------------------------------------- |
---|
872 | ! Initialize the adjoint variables: dy^* = W dy |
---|
873 | !-------------------------------------------------------------------- |
---|
874 | |
---|
875 | DO jk = 1, jpk |
---|
876 | DO jj = nldj, nlej |
---|
877 | DO ji = nldi, nlei |
---|
878 | zhdivn_adin(ji,jj,jk) = zhdivn_tlout(ji,jj,jk) & |
---|
879 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
---|
880 | & * tmask(ji,jj,jk) |
---|
881 | |
---|
882 | END DO |
---|
883 | END DO |
---|
884 | END DO |
---|
885 | !-------------------------------------------------------------------- |
---|
886 | ! Compute the scalar product: ( L dx )^T W dy |
---|
887 | !-------------------------------------------------------------------- |
---|
888 | |
---|
889 | zsp1 = DOT_PRODUCT( zhdivn_tlout, zhdivn_adin ) |
---|
890 | |
---|
891 | !-------------------------------------------------------------------- |
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892 | ! Call the adjoint routine: dx^* = L^T dy^* |
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893 | !-------------------------------------------------------------------- |
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894 | hdivn_ad(:,:,:) = zhdivn_adin(:,:,:) |
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895 | |
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896 | CALL div_cla_adj( nit000 ) |
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897 | |
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898 | DO jk = 1, jpk |
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899 | DO jj = jji, jjs ! tlin should be 0 outside these boundaries but is not by construction |
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900 | DO ji = jii, jis ! here it would insure that the dot product does not account for it |
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901 | zhdivn_adout(ji,jj,jk) = hdivn_ad(ji,jj,jk) |
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902 | zemp_adout(ji,jj) = emp_ad(ji,jj) |
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903 | END DO |
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904 | END DO |
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905 | END DO |
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906 | |
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907 | ! zhdivn_adout(:,:,:) = hdivn_ad(:,:,:) |
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908 | ! zemp_adout(:,:) = emp_ad(:,:) |
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909 | |
---|
910 | zsp2_1 = DOT_PRODUCT( zhdivn_tlin, zhdivn_adout ) |
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911 | zsp2_2 = DOT_PRODUCT( zemp_tlin, zemp_adout ) |
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912 | zsp2 = zsp2_1 + zsp2_2 |
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913 | |
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914 | ! Compare the scalar products |
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915 | |
---|
916 | ! 14 char:'12345678901234' |
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917 | SELECT CASE (jt) |
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918 | CASE(1) ! Bab el Madeb |
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919 | cl_name = 'div_cla_adj BM' |
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920 | CASE(2) ! Gibraltar |
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921 | cl_name = 'div_cla_adj Gi' |
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922 | END SELECT |
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923 | ! cl_name = 'div_cla_adj ' |
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924 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
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925 | |
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926 | END DO |
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927 | DEALLOCATE( & |
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928 | & zhdivn_tlin, & |
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929 | & zhdivn_tlout, & |
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930 | & zhdivn_adin, & |
---|
931 | & zhdivn_adout, & |
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932 | & zhdiv, & |
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933 | & zemp_tlin, & |
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934 | & zemp_adout, & |
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935 | & zemp & |
---|
936 | & ) |
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937 | |
---|
938 | |
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939 | END SUBROUTINE div_cla_adj_tst |
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940 | !!====================================================================== |
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941 | # else |
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942 | !!---------------------------------------------------------------------- |
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943 | !! Default key Dummy module |
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944 | !!---------------------------------------------------------------------- |
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945 | CONTAINS |
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946 | SUBROUTINE div_cla_tan( kt ) |
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947 | WRITE(*,*) 'div_cla: You should have not see this print! error?', kt |
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948 | END SUBROUTINE div_cla_tan |
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949 | SUBROUTINE div_cla_adj( kt ) |
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950 | WRITE(*,*) 'div_cla_adj: You should have not see this print! error?', kt |
---|
951 | END SUBROUTINE div_cla_adj |
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952 | SUBROUTINE div_cla_adj_tst( kt ) |
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953 | WRITE(*,*) 'div_cla_adj_tst: You should have not see this print! error?', kt |
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954 | END SUBROUTINE div_cla_adj_tst |
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955 | # endif |
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956 | #endif |
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957 | END MODULE cla_div_tam |
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