1 | MODULE dynbfr_tam |
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2 | #ifdef key_tam |
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3 | !!============================================================================== |
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4 | !! *** MODULE dynbfr *** |
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5 | !! Ocean dynamics : bottom friction component of the momentum mixing trend |
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6 | !!============================================================================== |
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7 | !! History of the drect module: |
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8 | !! 9.0 ! 2008-11 (A. C. Coward) Original code |
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9 | !! History of the TAM module: |
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10 | !! NEMO 3.2 ! 2010-04 (F. Vigilant) Original code |
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11 | !! NEMO 3.4 ! 2012-07 (P.-A. bouttier) Phasing with 3.4 |
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12 | !!---------------------------------------------------------------------- |
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13 | |
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14 | !!---------------------------------------------------------------------- |
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15 | !! dyn_bfr : Update the momentum trend with the bottom friction contribution |
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16 | !!---------------------------------------------------------------------- |
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17 | USE oce |
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18 | USE oce_tam |
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19 | USE par_oce |
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20 | USE dom_oce |
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21 | USE zdf_oce ! ocean vertical physics variables |
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22 | USE zdfbfr |
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23 | USE zdf_oce_tam |
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24 | USE in_out_manager |
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25 | USE gridrandom |
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26 | USE dotprodfld |
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27 | USE tstool_tam |
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28 | USE timing |
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29 | USE wrk_nemo |
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30 | |
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31 | IMPLICIT NONE |
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32 | PRIVATE |
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33 | |
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34 | PUBLIC dyn_bfr_tan ! routine called by step_tam.F90 |
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35 | PUBLIC dyn_bfr_adj ! routine called by step_tam.F90 |
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36 | PUBLIC dyn_bfr_adj_tst ! routine called by the tst.F90 |
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37 | |
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38 | !! * Substitutions |
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39 | # include "domzgr_substitute.h90" |
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40 | # include "zdfddm_substitute.h90" |
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41 | # include "vectopt_loop_substitute.h90" |
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42 | |
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43 | CONTAINS |
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44 | |
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45 | SUBROUTINE dyn_bfr_tan( kt ) |
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46 | !!---------------------------------------------------------------------- |
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47 | !! *** ROUTINE dyn_bfr_tan *** |
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48 | !! |
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49 | !! ** Purpose of direct routine: |
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50 | !! compute the bottom friction ocean dynamics physics. |
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51 | !! |
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52 | !! ** Action : (ua,va) momentum trend increased by bottom friction trend |
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53 | !!--------------------------------------------------------------------- |
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54 | !! |
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55 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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56 | !! |
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57 | INTEGER :: ji, jj ! dummy loop indexes |
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58 | INTEGER :: ikbu , ikbv ! temporary integers |
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59 | REAL(wp) :: zm1_2dt, zbfru, zbfrv ! temporary scalar |
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60 | REAL(wp) :: zbfrutl, zbfrvtl ! temporary scalar |
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61 | !!--------------------------------------------------------------------- |
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62 | ! |
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63 | ! |
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64 | IF( nn_timing == 1 ) CALL timing_start('dyn_bfr_tan') |
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65 | ! |
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66 | IF ( .NOT. ln_bfrimp ) THEN |
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67 | zm1_2dt = -1._wp / ( 2._wp * rdt ) |
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68 | # if defined key_vectopt_loop |
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69 | DO jj = 1, 1 |
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70 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
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71 | # else |
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72 | DO jj = 2, jpjm1 |
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73 | DO ji = 2, jpim1 |
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74 | # endif |
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75 | ikbu = mbku(ji,jj) |
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76 | ikbv = mbkv(ji,jj) |
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77 | ! |
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78 | ! Apply stability criteria on absolute value : Min abs(bfr) => Max (bfr) |
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79 | IF ( bfrua(ji,jj) >= fse3u(ji,jj,ikbu)*zm1_2dt ) THEN |
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80 | zbfru = bfrua( ji,jj) |
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81 | zbfrutl = bfrua_tl(ji,jj) |
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82 | ELSE |
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83 | zbfru = fse3u(ji,jj,ikbu)*zm1_2dt |
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84 | zbfrutl = 0.0_wp |
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85 | END IF |
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86 | |
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87 | IF ( bfrva(ji,jj) >= fse3v(ji,jj,ikbv)*zm1_2dt ) THEN |
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88 | zbfrv = bfrva( ji,jj) |
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89 | zbfrvtl = bfrva_tl(ji,jj) |
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90 | ELSE |
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91 | zbfrv = fse3v(ji,jj,ikbv)*zm1_2dt |
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92 | zbfrvtl = 0.0_wp |
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93 | END IF |
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94 | ! |
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95 | ua_tl(ji,jj,ikbu) = ua_tl(ji,jj,ikbu) & |
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96 | & + ( zbfru * ub_tl(ji,jj,ikbu) + zbfrutl * ub(ji,jj,ikbu) ) & |
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97 | & / fse3u(ji,jj,ikbu) |
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98 | va_tl(ji,jj,ikbv) = va_tl(ji,jj,ikbv) & |
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99 | & + ( zbfrv * vb_tl(ji,jj,ikbv) + zbfrvtl * vb(ji,jj,ikbv) ) & |
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100 | & / fse3v(ji,jj,ikbv) |
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101 | ! |
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102 | END DO |
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103 | END DO |
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104 | ENDIF |
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105 | ! |
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106 | IF( nn_timing == 1 ) CALL timing_stop('dyn_bfr_tan') |
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107 | ! |
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108 | END SUBROUTINE dyn_bfr_tan |
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109 | |
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110 | SUBROUTINE dyn_bfr_adj( kt ) |
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111 | !!---------------------------------------------------------------------- |
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112 | !! *** ROUTINE dyn_bfr_adj *** |
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113 | !! |
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114 | !! ** Purpose of direct routine: |
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115 | !! compute the bottom friction ocean dynamics physics. |
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116 | !! |
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117 | !! ** Action : (ua,va) momentum trend increased by bottom friction trend |
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118 | !!--------------------------------------------------------------------- |
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119 | !! |
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120 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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121 | !! |
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122 | INTEGER :: ji, jj ! dummy loop indexes |
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123 | INTEGER :: ikbu , ikbv ! temporary integers |
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124 | REAL(wp) :: zm1_2dt, zbfru, zbfrv ! temporary scalar |
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125 | REAL(wp) :: zbfruad, zbfrvad ! temporary scalar |
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126 | !!--------------------------------------------------------------------- |
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127 | ! |
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128 | IF( nn_timing == 1 ) CALL timing_start('dyn_bfr_adj') |
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129 | ! |
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130 | IF( .NOT.ln_bfrimp) THEN |
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131 | zm1_2dt = -1._wp / ( 2._wp * rdt ) |
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132 | zbfruad = 0.0_wp ; zbfrvad = 0.0_wp |
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133 | # if defined key_vectopt_loop |
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134 | DO jj = 1, 1 |
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135 | DO ji = jpij-jpj-1, jpi+2, -1 ! vector opt. (forced unrolling) |
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136 | # else |
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137 | DO jj = jpjm1, 2, -1 |
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138 | DO ji = jpim1, 2, -1 |
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139 | # endif |
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140 | ikbu = mbku(ji,jj) |
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141 | ikbv = mbkv(ji,jj) |
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142 | ! |
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143 | ! Apply stability criteria on absolute value : Min abs(bfr) => Max (bfr) |
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144 | zbfru = MAX( bfrua(ji,jj), fse3u(ji,jj,ikbu)*zm1_2dt ) |
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145 | zbfrv = MAX( bfrva(ji,jj), fse3v(ji,jj,ikbv)*zm1_2dt ) |
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146 | ! |
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147 | ub_ad(ji,jj,ikbu) = ub_ad(ji,jj,ikbu) + zbfru * ua_ad(ji,jj,ikbu) / fse3u(ji,jj,ikbu) |
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148 | zbfruad = zbfruad + ub(ji,jj,ikbu) * ua_ad(ji,jj,ikbu) / fse3u(ji,jj,ikbu) |
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149 | vb_ad(ji,jj,ikbv) = vb_ad(ji,jj,ikbv) + zbfrv * va_ad(ji,jj,ikbv) / fse3v(ji,jj,ikbv) |
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150 | zbfrvad = zbfrvad + vb(ji,jj,ikbv) * va_ad(ji,jj,ikbv) / fse3v(ji,jj,ikbv) |
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151 | ! |
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152 | ! Apply stability criteria on absolute value : Min abs(bfr) => Max (bfr) |
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153 | IF ( bfrua(ji,jj) >= fse3u(ji,jj,ikbu)*zm1_2dt ) THEN |
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154 | bfrua_ad(ji,jj) = bfrua_ad(ji,jj) + zbfruad |
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155 | zbfruad = 0.0_wp |
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156 | ELSE |
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157 | zbfruad = 0.0_wp |
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158 | END IF |
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159 | ! |
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160 | IF ( bfrva(ji,jj) >= fse3v(ji,jj,ikbv)*zm1_2dt ) THEN |
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161 | bfrva_ad(ji,jj) = bfrva_ad(ji,jj) + zbfrvad |
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162 | zbfrvad = 0.0_wp |
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163 | ELSE |
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164 | zbfrvad = 0.0_wp |
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165 | END IF |
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166 | ! |
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167 | END DO |
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168 | END DO |
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169 | ENDIF |
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170 | ! |
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171 | IF( nn_timing == 1 ) CALL timing_stop('dyn_bfr_adj') |
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172 | ! |
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173 | END SUBROUTINE dyn_bfr_adj |
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174 | |
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175 | SUBROUTINE dyn_bfr_adj_tst( kumadt ) |
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176 | !!----------------------------------------------------------------------- |
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177 | !! |
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178 | !! *** ROUTINE dyn_bfr_adj_tst *** |
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179 | !! |
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180 | !! ** Purpose : Test the adjoint routine. |
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181 | !! |
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182 | !! ** Method : Verify the scalar product |
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183 | !! |
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184 | !! ( L dx )^T W dy = dx^T L^T W dy |
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185 | !! |
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186 | !! where L = tangent routine |
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187 | !! L^T = adjoint routine |
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188 | !! W = diagonal matrix of scale factors |
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189 | !! dx = input perturbation (random field) |
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190 | !! dy = L dx |
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191 | !! |
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192 | !! ** Action : |
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193 | !! |
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194 | !! History : |
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195 | !! ! 2010-04 (F. Vigilant) |
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196 | !!----------------------------------------------------------------------- |
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197 | !! * Modules used |
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198 | |
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199 | !! * Arguments |
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200 | INTEGER, INTENT(IN) :: & |
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201 | & kumadt ! Output unit |
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202 | |
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203 | !! * Local declarations |
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204 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
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205 | & zua_tlin, & ! Tangent input: ua_tl |
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206 | & zva_tlin, & ! Tangent input: va_tl |
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207 | & zub_tlin, & ! Tangent input: ub_tl |
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208 | & zvb_tlin, & ! Tangent input: vb_tl |
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209 | & zua_tlout, & ! Tangent output: ua_tl |
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210 | & zva_tlout, & ! Tangent output: va_tl |
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211 | & zua_adin, & ! Adjoint input: ua_ad |
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212 | & zva_adin, & ! Adjoint input: va_ad |
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213 | & zua_adout, & ! Adjoint output: ua_ad |
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214 | & zva_adout, & ! Adjoint output: va_ad |
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215 | & zub_adout, & ! Adjoint oputput: ub_ad |
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216 | & zvb_adout, & ! Adjoint output: vb_ad |
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217 | & znu ! 3D random field for u |
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218 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
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219 | & zbu_tlin, & ! Tangent input: bfrua_tl |
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220 | & zbv_tlin, & ! Tangent input: bfrva_tl |
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221 | & zbu_adout, & ! Adjoint output: bfrua_ad |
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222 | & zbv_adout ! Adjoint output: bfrva_ad |
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223 | REAL(wp) :: & |
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224 | & zsp1, & ! scalar product involving the tangent routine |
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225 | & zsp2 ! scalar product involving the adjoint routine |
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226 | INTEGER, DIMENSION(jpi,jpj) :: & |
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227 | & iseed_2d ! 2D seed for the random number generator |
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228 | INTEGER :: & |
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229 | & ji, & |
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230 | & jj, & |
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231 | & jk |
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232 | CHARACTER (LEN=14) :: & |
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233 | & cl_name |
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234 | |
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235 | ! Allocate memory |
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236 | |
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237 | ALLOCATE( & |
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238 | & zua_tlin(jpi,jpj,jpk), & |
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239 | & zva_tlin(jpi,jpj,jpk), & |
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240 | & zub_tlin(jpi,jpj,jpk), & |
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241 | & zvb_tlin(jpi,jpj,jpk), & |
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242 | & zua_tlout(jpi,jpj,jpk), & |
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243 | & zva_tlout(jpi,jpj,jpk), & |
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244 | & zua_adin(jpi,jpj,jpk), & |
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245 | & zva_adin(jpi,jpj,jpk), & |
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246 | & zua_adout(jpi,jpj,jpk), & |
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247 | & zva_adout(jpi,jpj,jpk), & |
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248 | & zub_adout(jpi,jpj,jpk), & |
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249 | & zvb_adout(jpi,jpj,jpk), & |
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250 | & znu(jpi,jpj,jpk) & |
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251 | & ) |
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252 | ALLOCATE( & |
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253 | & zbu_tlin(jpi,jpj), & |
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254 | & zbv_tlin(jpi,jpj), & |
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255 | & zbu_adout(jpi,jpj), & |
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256 | & zbv_adout(jpi,jpj) & |
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257 | & ) |
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258 | |
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259 | !========================================================================= |
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260 | ! dx = ( ub_tl, ua_tl, vb_tl, va_tl ) |
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261 | ! and dy = ( ua_tl, va_tl ) |
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262 | !========================================================================= |
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263 | |
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264 | !-------------------------------------------------------------------- |
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265 | ! Reset the tangent and adjoint variables |
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266 | !-------------------------------------------------------------------- |
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267 | |
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268 | zub_tlin (:,:,:) = 0.0_wp |
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269 | zvb_tlin (:,:,:) = 0.0_wp |
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270 | zua_tlin (:,:,:) = 0.0_wp |
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271 | zva_tlin (:,:,:) = 0.0_wp |
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272 | zua_tlout(:,:,:) = 0.0_wp |
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273 | zva_tlout(:,:,:) = 0.0_wp |
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274 | zua_adin (:,:,:) = 0.0_wp |
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275 | zva_adin (:,:,:) = 0.0_wp |
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276 | zub_adout(:,:,:) = 0.0_wp |
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277 | zvb_adout(:,:,:) = 0.0_wp |
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278 | zua_adout(:,:,:) = 0.0_wp |
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279 | zva_adout(:,:,:) = 0.0_wp |
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280 | |
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281 | ub_tl(:,:,:) = 0.0_wp |
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282 | vb_tl(:,:,:) = 0.0_wp |
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283 | ua_tl(:,:,:) = 0.0_wp |
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284 | va_tl(:,:,:) = 0.0_wp |
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285 | ub_ad(:,:,:) = 0.0_wp |
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286 | vb_ad(:,:,:) = 0.0_wp |
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287 | ua_ad(:,:,:) = 0.0_wp |
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288 | va_ad(:,:,:) = 0.0_wp |
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289 | !-------------------------------------------------------------------- |
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290 | ! Initialize the tangent input with random noise: dx |
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291 | !-------------------------------------------------------------------- |
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292 | |
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293 | CALL grid_random( znu, 'U', 0.0_wp, stdu ) |
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294 | |
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295 | DO jk = 1, jpk |
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296 | DO jj = nldj, nlej |
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297 | DO ji = nldi, nlei |
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298 | zua_tlin(ji,jj,jk) = znu(ji,jj,jk) |
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299 | END DO |
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300 | END DO |
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301 | END DO |
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302 | |
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303 | CALL grid_random( znu, 'V', 0.0_wp, stdv ) |
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304 | |
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305 | DO jk = 1, jpk |
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306 | DO jj = nldj, nlej |
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307 | DO ji = nldi, nlei |
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308 | zva_tlin(ji,jj,jk) = znu(ji,jj,jk) |
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309 | END DO |
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310 | END DO |
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311 | END DO |
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312 | CALL grid_random( znu, 'U', 0.0_wp, stdu ) |
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313 | |
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314 | DO jk = 1, jpk |
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315 | DO jj = nldj, nlej |
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316 | DO ji = nldi, nlei |
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317 | zub_tlin(ji,jj,jk) = znu(ji,jj,jk) |
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318 | END DO |
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319 | END DO |
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320 | END DO |
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321 | CALL grid_random( znu, 'V', 0.0_wp, stdv ) |
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322 | |
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323 | DO jk = 1, jpk |
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324 | DO jj = nldj, nlej |
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325 | DO ji = nldi, nlei |
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326 | zvb_tlin(ji,jj,jk) = znu(ji,jj,jk) |
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327 | END DO |
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328 | END DO |
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329 | END DO |
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330 | CALL grid_random( znu, 'U', 0.0_wp, stdv ) |
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331 | |
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332 | DO jj = nldj, nlej |
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333 | DO ji = nldi, nlei |
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334 | zbu_tlin(ji,jj) = znu(ji,jj,1) |
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335 | END DO |
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336 | END DO |
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337 | CALL grid_random( znu, 'V', 0.0_wp, stdv ) |
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338 | |
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339 | DO jj = nldj, nlej |
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340 | DO ji = nldi, nlei |
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341 | zbv_tlin(ji,jj) = znu(ji,jj,1) |
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342 | END DO |
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343 | END DO |
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344 | |
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345 | !-------------------------------------------------------------------- |
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346 | ! Call the tangent routine: dy = L dx |
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347 | !-------------------------------------------------------------------- |
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348 | |
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349 | ua_tl(:,:,:) = zua_tlin(:,:,:) |
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350 | va_tl(:,:,:) = zva_tlin(:,:,:) |
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351 | ub_tl(:,:,:) = zub_tlin(:,:,:) |
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352 | vb_tl(:,:,:) = zvb_tlin(:,:,:) |
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353 | bfrua_tl(:,:) = zbu_tlin(:,:) |
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354 | bfrva_tl(:,:) = zbv_tlin(:,:) |
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355 | |
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356 | CALL dyn_bfr_tan( nit000 ) |
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357 | |
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358 | zua_tlout(:,:,:) = ua_tl(:,:,:) |
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359 | zva_tlout(:,:,:) = va_tl(:,:,:) |
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360 | !-------------------------------------------------------------------- |
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361 | ! Initialize the adjoint variables: dy^* = W dy |
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362 | !-------------------------------------------------------------------- |
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363 | |
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364 | DO jk = 1, jpk |
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365 | DO jj = nldj, nlej |
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366 | DO ji = nldi, nlei |
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367 | zua_adin(ji,jj,jk) = zua_tlout(ji,jj,jk) & |
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368 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) & |
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369 | & * umask(ji,jj,jk) |
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370 | zva_adin(ji,jj,jk) = zva_tlout(ji,jj,jk) & |
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371 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) & |
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372 | & * vmask(ji,jj,jk) |
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373 | END DO |
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374 | END DO |
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375 | END DO |
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376 | |
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377 | !-------------------------------------------------------------------- |
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378 | ! Compute the scalar product: ( L dx )^T W dy |
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379 | !-------------------------------------------------------------------- |
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380 | |
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381 | zsp1 = DOT_PRODUCT( zua_tlout , zua_adin ) + DOT_PRODUCT( zva_tlout , zva_adin ) |
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382 | |
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383 | |
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384 | !-------------------------------------------------------------------- |
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385 | ! Call the adjoint routine: dx^* = L^T dy^* |
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386 | !-------------------------------------------------------------------- |
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387 | |
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388 | ua_ad(:,:,:) = zua_adin(:,:,:) |
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389 | va_ad(:,:,:) = zva_adin(:,:,:) |
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390 | |
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391 | CALL dyn_bfr_adj( nit000 ) |
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392 | |
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393 | zua_adout(:,:,:) = ua_ad(:,:,:) |
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394 | zva_adout(:,:,:) = va_ad(:,:,:) |
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395 | zub_adout(:,:,:) = ub_ad(:,:,:) |
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396 | zvb_adout(:,:,:) = vb_ad(:,:,:) |
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397 | zbu_adout(:,:) = bfrua_ad(:,:) |
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398 | zbv_adout(:,:) = bfrva_ad(:,:) |
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399 | |
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400 | !-------------------------------------------------------------------- |
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401 | ! Compute the scalar product: dx^T L^T W dy |
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402 | !-------------------------------------------------------------------- |
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403 | |
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404 | zsp2 = DOT_PRODUCT( zua_tlin , zua_adout ) & |
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405 | & + DOT_PRODUCT( zva_tlin , zva_adout ) & |
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406 | & + DOT_PRODUCT( zub_tlin , zub_adout ) & |
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407 | & + DOT_PRODUCT( zvb_tlin , zvb_adout ) & |
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408 | & + DOT_PRODUCT( zbu_tlin , zbu_adout ) & |
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409 | & + DOT_PRODUCT( zbv_tlin , zbv_adout ) |
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410 | |
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411 | ! Compare the scalar products |
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412 | |
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413 | ! 14 char:'12345678901234' |
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414 | cl_name = 'dyn_bfr_adj ' |
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415 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
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416 | |
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417 | ! Deallocate memory |
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418 | |
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419 | DEALLOCATE( & |
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420 | & zua_tlin, & |
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421 | & zva_tlin, & |
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422 | & zub_tlin, & |
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423 | & zvb_tlin, & |
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424 | & zua_tlout, & |
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425 | & zva_tlout, & |
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426 | & zua_adin, & |
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427 | & zva_adin, & |
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428 | & zua_adout, & |
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429 | & zva_adout, & |
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430 | & zub_adout, & |
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431 | & zvb_adout, & |
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432 | & znu & |
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433 | & ) |
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434 | DEALLOCATE( & |
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435 | & zbu_tlin, & |
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436 | & zbv_tlin, & |
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437 | & zbu_adout, & |
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438 | & zbv_adout & |
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439 | & ) |
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440 | |
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441 | END SUBROUTINE dyn_bfr_adj_tst |
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442 | !!============================================================================== |
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443 | #endif |
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444 | END MODULE dynbfr_tam |
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