1 | MODULE dynnxt_tam |
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2 | #ifdef key_tam |
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3 | !!====================================================================== |
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4 | !! *** MODULE dynnxt_tam *** |
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5 | !! Ocean dynamics: time stepping |
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6 | !! Tangent and Adjoint Module |
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7 | !!====================================================================== |
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8 | !! History of the direct module: |
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9 | !! OPA ! 1987-02 (P. Andrich, D. L Hostis) Original code |
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10 | !! ! 1990-10 (C. Levy, G. Madec) |
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11 | !! 7.0 ! 1993-03 (M. Guyon) symetrical conditions |
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12 | !! 8.0 ! 1997-02 (G. Madec & M. Imbard) opa, release 8.0 |
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13 | !! 8.2 ! 1997-04 (A. Weaver) Euler forward step |
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14 | !! - ! 1997-06 (G. Madec) lateral boudary cond., lbc routine |
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15 | !! NEMO 1.0 ! 2002-08 (G. Madec) F90: Free form and module |
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16 | !! - ! 2002-10 (C. Talandier, A-M. Treguier) Open boundary cond. |
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17 | !! 2.0 ! 2005-11 (V. Garnier) Surface pressure gradient organization |
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18 | !! 2.3 ! 2007-07 (D. Storkey) Calls to BDY routines. |
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19 | !! 3.2 ! 2009-06 (G. Madec, R.Benshila) re-introduce the vvl option |
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20 | !! History of the TAM routine: |
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21 | !! 9.0 ! 2008-06 (A. Vidard) Skeleton |
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22 | !! ! 2008-08 (A. Vidard) tangent of the 05-11 version |
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23 | !! ! 2008-08 (A. Vidard) tangent of the 07-07 version |
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24 | !! 3.2 ! 2010-04 (F. Vigilant) 3.2 conversion |
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25 | !! 3.4 ! 2012-07 (P.-A. Bouttier) 3.4 conversion |
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26 | !!------------------------------------------------------------------------- |
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27 | !!---------------------------------------------------------------------- |
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28 | !! dyn_nxt_tan : update the horizontal velocity from the momentum trend |
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29 | !! dyn_nxt_adj : update the horizontal velocity from the momentum trend |
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30 | !!---------------------------------------------------------------------- |
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31 | !! * Modules used |
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32 | USE par_kind |
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33 | USE par_oce |
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34 | USE oce_tam |
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35 | USE dom_oce |
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36 | USE in_out_manager |
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37 | USE dynspg_oce |
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38 | USE dynadv |
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39 | USE lbclnk |
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40 | USE lbclnk_tam |
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41 | USE gridrandom |
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42 | USE dotprodfld |
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43 | USE tstool_tam |
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44 | USE lib_mpp |
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45 | USE wrk_nemo |
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46 | USE timing |
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47 | |
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48 | IMPLICIT NONE |
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49 | PRIVATE |
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50 | |
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51 | !! * Accessibility |
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52 | PUBLIC dyn_nxt_tan ! routine called by step.F90 |
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53 | PUBLIC dyn_nxt_adj ! routine called by step.F90 |
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54 | PUBLIC dyn_nxt_adj_tst ! routine called by step.F90 |
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55 | !! * Substitutions |
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56 | # include "domzgr_substitute.h90" |
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57 | !!---------------------------------------------------------------------- |
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58 | |
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59 | CONTAINS |
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60 | |
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61 | SUBROUTINE dyn_nxt_tan ( kt ) |
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62 | !!---------------------------------------------------------------------- |
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63 | !! *** ROUTINE dyn_nxt_tan *** |
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64 | !! |
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65 | !! ** Purpose : Compute the after horizontal velocity. Apply the boundary |
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66 | !! condition on the after velocity, achieved the time stepping |
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67 | !! by applying the Asselin filter on now fields and swapping |
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68 | !! the fields. |
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69 | !! |
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70 | !! ** Method : * After velocity is compute using a leap-frog scheme: |
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71 | !! (ua,va) = (ub,vb) + 2 rdt (ua,va) |
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72 | !! Note that with flux form advection and variable volume layer |
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73 | !! (lk_vvl=T), the leap-frog is applied on thickness weighted |
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74 | !! velocity. |
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75 | !! Note also that in filtered free surface (lk_dynspg_flt=T), |
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76 | !! the time stepping has already been done in dynspg module |
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77 | !! |
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78 | !! * Apply lateral boundary conditions on after velocity |
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79 | !! at the local domain boundaries through lbc_lnk call, |
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80 | !! at the radiative open boundaries (lk_obc=T), |
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81 | !! at the relaxed open boundaries (lk_bdy=T), and |
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82 | !! at the AGRIF zoom boundaries (lk_agrif=T) |
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83 | !! |
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84 | !! * Apply the time filter applied and swap of the dynamics |
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85 | !! arrays to start the next time step: |
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86 | !! (ub,vb) = (un,vn) + atfp [ (ub,vb) + (ua,va) - 2 (un,vn) ] |
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87 | !! (un,vn) = (ua,va). |
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88 | !! Note that with flux form advection and variable volume layer |
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89 | !! (lk_vvl=T), the time filter is applied on thickness weighted |
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90 | !! velocity. |
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91 | !! |
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92 | !! ** Action : ub,vb filtered before horizontal velocity of next time-step |
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93 | !! un,vn now horizontal velocity of next time-step |
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94 | !!---------------------------------------------------------------------- |
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95 | !! * Arguments |
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96 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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97 | !! * Local declarations |
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98 | #if ! defined key_dynspg_flt |
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99 | REAL(wp) :: z2dt ! temporary scalar |
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100 | #endif |
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101 | INTEGER :: ji, jj, jk, iku, ikv ! dummy loop indices |
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102 | REAL(wp) :: zue3atl , zue3ntl , zue3btl ! temporary scalar |
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103 | REAL(wp) :: zve3atl , zve3ntl , zve3btl ! - - |
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104 | REAL(wp) :: zuftl , zvftl ! - - |
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105 | !!---------------------------------------------------------------------- |
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106 | ! |
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107 | ! |
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108 | IF( nn_timing == 1 ) CALL timing_start('dyn_nxt_tan') |
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109 | ! |
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110 | IF( kt == nit000 ) THEN |
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111 | IF(lwp) WRITE(numout,*) |
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112 | IF(lwp) WRITE(numout,*) 'dyn_nxt_tan : time stepping' |
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113 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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114 | ENDIF |
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115 | |
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116 | #if defined key_dynspg_flt |
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117 | ! |
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118 | ! Next velocity : Leap-frog time stepping already done in dynspg_flt.F routine |
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119 | ! ------------- |
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120 | |
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121 | ! Update after velocity on domain lateral boundaries (only local domain required) |
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122 | ! -------------------------------------------------- |
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123 | CALL lbc_lnk( ua_tl, 'U', -1.0_wp ) ! local domain boundaries |
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124 | CALL lbc_lnk( va_tl, 'V', -1.0_wp ) |
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125 | ! |
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126 | #else |
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127 | ! Next velocity : Leap-frog time stepping |
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128 | ! ------------- |
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129 | z2dt = 2. * rdt ! Euler or leap-frog time step |
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130 | IF( neuler == 0 .AND. kt == nit000 ) z2dt = rdt |
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131 | ! |
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132 | IF( ln_dynadv_vec .OR. .NOT. lk_vvl ) THEN ! applied on velocity |
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133 | DO jk = 1, jpkm1 |
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134 | ua_tl(:,:,jk) = ( ub_tl(:,:,jk) + z2dt * ua_tl(:,:,jk) ) * umask(:,:,jk) |
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135 | va_tl(:,:,jk) = ( vb_tl(:,:,jk) + z2dt * va_tl(:,:,jk) ) * vmask(:,:,jk) |
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136 | END DO |
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137 | ELSE ! applied on thickness weighted velocity |
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138 | DO jk = 1, jpkm1 |
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139 | ua_tl(:,:,jk) = ( ub_tl(:,:,jk) * fse3u_b(:,:,jk) & |
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140 | & + z2dt * ua_tl(:,:,jk) * fse3u_n(:,:,jk) ) & |
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141 | & / fse3u_a(:,:,jk) * umask(:,:,jk) |
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142 | va_tl(:,:,jk) = ( vb_tl(:,:,jk) * fse3v_b(:,:,jk) & |
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143 | & + z2dt * va_tl(:,:,jk) * fse3v_n(:,:,jk) ) & |
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144 | & / fse3v_a(:,:,jk) * vmask(:,:,jk) |
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145 | END DO |
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146 | ENDIF |
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147 | |
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148 | ! Update after velocity on domain lateral boundaries |
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149 | ! -------------------------------------------------- |
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150 | CALL lbc_lnk( ua_tl, 'U', -1.0_wp ) !* local domain boundaries |
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151 | CALL lbc_lnk( va_tl, 'V', -1.0_wp ) |
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152 | ! |
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153 | #endif |
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154 | ! Time filter and swap of dynamics arrays |
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155 | ! ------------------------------------------ |
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156 | IF( neuler == 0 .AND. kt == nit000 ) THEN !* Euler at first time-step: only swap |
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157 | DO jk = 1, jpkm1 |
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158 | un_tl(:,:,jk) = ua_tl(:,:,jk) ! un <-- ua |
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159 | vn_tl(:,:,jk) = va_tl(:,:,jk) |
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160 | END DO |
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161 | ELSE !* Leap-Frog : Asselin filter and swap |
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162 | IF( .NOT. lk_vvl ) THEN ! applied on velocity |
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163 | DO jk = 1, jpkm1 |
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164 | DO jj = 1, jpj |
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165 | DO ji = 1, jpi |
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166 | zuftl = un_tl(ji,jj,jk) + atfp * ( ub_tl(ji,jj,jk) - 2._wp * un_tl(ji,jj,jk) + ua_tl(ji,jj,jk) ) |
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167 | zvftl = vn_tl(ji,jj,jk) + atfp * ( vb_tl(ji,jj,jk) - 2._wp * vn_tl(ji,jj,jk) + va_tl(ji,jj,jk) ) |
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168 | ! |
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169 | ub_tl(ji,jj,jk) = zuftl ! ub <-- filtered velocity |
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170 | vb_tl(ji,jj,jk) = zvftl |
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171 | un_tl(ji,jj,jk) = ua_tl(ji,jj,jk) ! un <-- ua |
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172 | vn_tl(ji,jj,jk) = va_tl(ji,jj,jk) |
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173 | END DO |
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174 | END DO |
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175 | END DO |
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176 | ELSE ! applied on thickness weighted velocity |
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177 | CALL ctl_stop ( 'dyn_nxt_tan: key_vvl not available yet in TAM' ) |
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178 | ENDIF |
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179 | ENDIF |
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180 | ! |
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181 | IF( nn_timing == 1 ) CALL timing_stop('dyn_nxt_tan') |
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182 | ! |
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183 | END SUBROUTINE dyn_nxt_tan |
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184 | |
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185 | SUBROUTINE dyn_nxt_adj ( kt ) |
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186 | !!---------------------------------------------------------------------- |
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187 | !! *** ROUTINE dyn_nxt_tan *** |
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188 | !! |
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189 | !! ** Purpose : Compute the after horizontal velocity. Apply the boundary |
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190 | !! condition on the after velocity, achieved the time stepping |
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191 | !! by applying the Asselin filter on now fields and swapping |
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192 | !! the fields. |
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193 | !! |
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194 | !! ** Method : * After velocity is compute using a leap-frog scheme: |
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195 | !! (ua,va) = (ub,vb) + 2 rdt (ua,va) |
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196 | !! Note that with flux form advection and variable volume layer |
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197 | !! (lk_vvl=T), the leap-frog is applied on thickness weighted |
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198 | !! velocity. |
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199 | !! Note also that in filtered free surface (lk_dynspg_flt=T), |
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200 | !! the time stepping has already been done in dynspg module |
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201 | !! |
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202 | !! * Apply lateral boundary conditions on after velocity |
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203 | !! at the local domain boundaries through lbc_lnk call, |
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204 | !! at the radiative open boundaries (lk_obc=T), |
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205 | !! at the relaxed open boundaries (lk_bdy=T), and |
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206 | !! at the AGRIF zoom boundaries (lk_agrif=T) |
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207 | !! |
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208 | !! * Apply the time filter applied and swap of the dynamics |
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209 | !! arrays to start the next time step: |
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210 | !! (ub,vb) = (un,vn) + atfp [ (ub,vb) + (ua,va) - 2 (un,vn) ] |
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211 | !! (un,vn) = (ua,va). |
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212 | !! Note that with flux form advection and variable volume layer |
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213 | !! (lk_vvl=T), the time filter is applied on thickness weighted |
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214 | !! velocity. |
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215 | !! |
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216 | !! ** Action : ub,vb filtered before horizontal velocity of next time-step |
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217 | !! un,vn now horizontal velocity of next time-step |
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218 | !!---------------------------------------------------------------------- |
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219 | !! * Arguments |
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220 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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221 | #if ! defined key_dynspg_flt |
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222 | REAL(wp) :: z2dt ! temporary scalar |
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223 | #endif |
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224 | INTEGER :: ji, jj, jk, iku, ikv ! dummy loop indices |
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225 | REAL(wp) :: zue3aad , zue3nad , zue3bad ! temporary scalar |
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226 | REAL(wp) :: zve3aad , zve3nad , zve3bad ! - - |
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227 | REAL(wp) :: zufad , zvfad ! - - |
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228 | !!---------------------------------------------------------------------- |
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229 | ! |
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230 | IF( nn_timing == 1 ) CALL timing_start('dyn_nxt_adj') |
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231 | ! |
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232 | ! adjoint local variables initialization |
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233 | zue3aad = 0.0_wp ; zue3nad = 0.0_wp ; zue3bad = 0.0_wp |
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234 | zve3aad = 0.0_wp ; zve3nad = 0.0_wp ; zve3bad = 0.0_wp |
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235 | zufad = 0.0_wp ; zvfad = 0.0_wp |
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236 | |
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237 | IF( kt == nitend ) THEN |
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238 | IF(lwp) WRITE(numout,*) |
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239 | IF(lwp) WRITE(numout,*) 'dyn_nxt_adj : time stepping' |
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240 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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241 | ENDIF |
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242 | ! |
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243 | ! Time filter and swap of dynamics arrays |
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244 | ! ------------------------------------------ |
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245 | IF( neuler == 0 .AND. kt == nit000 ) THEN !* Euler at first time-step: only swap |
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246 | DO jk = 1, jpkm1 |
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247 | ua_ad(:,:,jk) = ua_ad(:,:,jk) + un_ad(:,:,jk) ! un_ad <-- ua_ad |
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248 | va_ad(:,:,jk) = va_ad(:,:,jk) + vn_ad(:,:,jk) |
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249 | un_ad(:,:,jk) = 0.0_wp |
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250 | vn_ad(:,:,jk) = 0.0_wp |
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251 | END DO |
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252 | ELSE !* Leap-Frog : Asselin filter and swap |
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253 | IF( .NOT. lk_vvl ) THEN ! applied on velocity |
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254 | DO jk = 1, jpkm1 |
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255 | DO jj = 1, jpj |
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256 | DO ji = 1, jpi |
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257 | va_ad(ji,jj,jk) = va_ad(ji,jj,jk) + vn_ad(ji,jj,jk) |
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258 | ua_ad(ji,jj,jk) = ua_ad(ji,jj,jk) + un_ad(ji,jj,jk) |
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259 | un_ad(ji,jj,jk) = 0.0_wp |
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260 | vn_ad(ji,jj,jk) = 0.0_wp |
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261 | zvfad = zvfad + vb_ad(ji,jj,jk) |
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262 | zufad = zufad + ub_ad(ji,jj,jk) |
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263 | ub_ad(ji,jj,jk) = 0.0_wp |
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264 | vb_ad(ji,jj,jk) = 0.0_wp |
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265 | |
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266 | ub_ad(ji,jj,jk) = ub_ad(ji,jj,jk) + atfp * zufad |
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267 | ua_ad(ji,jj,jk) = ua_ad(ji,jj,jk) + atfp * zufad |
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268 | un_ad(ji,jj,jk) = un_ad(ji,jj,jk) + ( 1 - 2._wp * atfp ) * zufad |
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269 | vb_ad(ji,jj,jk) = vb_ad(ji,jj,jk) + atfp * zvfad |
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270 | va_ad(ji,jj,jk) = va_ad(ji,jj,jk) + atfp * zvfad |
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271 | vn_ad(ji,jj,jk) = vn_ad(ji,jj,jk) + ( 1 - 2._wp * atfp ) * zvfad |
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272 | zufad = 0.0_wp |
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273 | zvfad = 0.0_wp |
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274 | END DO |
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275 | END DO |
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276 | END DO |
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277 | ELSE ! applied on thickness weighted velocity |
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278 | CALL ctl_stop ( 'dyn_nxt_adj: key_vvl not available yet in TAM' ) |
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279 | ENDIF |
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280 | ENDIF |
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281 | |
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282 | #if defined key_dynspg_flt |
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283 | ! |
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284 | ! Next velocity : Leap-frog time stepping already done in dynspg_flt.F routine |
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285 | ! ------------- |
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286 | |
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287 | ! Update after velocity on domain lateral boundaries (only local domain required) |
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288 | ! -------------------------------------------------- |
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289 | CALL lbc_lnk_adj( ua_ad, 'U', -1.0_wp ) ! local domain boundaries |
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290 | CALL lbc_lnk_adj( va_ad, 'V', -1.0_wp ) |
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291 | ! |
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292 | #else |
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293 | ! |
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294 | ! Update after velocity on domain lateral boundaries |
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295 | ! |
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296 | ! Update after velocity on domain lateral boundaries |
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297 | ! -------------------------------------------------- |
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298 | CALL lbc_lnk_adj( va_ad, 'U', -1.0_wp ) !* local domain boundaries |
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299 | CALL lbc_lnk_adj( ua_ad, 'V', -1.0_wp ) |
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300 | ! Next velocity : Leap-frog time stepping |
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301 | ! ------------- |
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302 | z2dt = 2. * rdt ! Euler or leap-frog time step |
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303 | IF( neuler == 0 .AND. kt == nit000 ) z2dt = rdt |
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304 | ! |
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305 | IF( ln_dynadv_vec .OR. .NOT. lk_vvl ) THEN ! applied on velocity |
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306 | DO jk = 1, jpkm1 |
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307 | ua_ad(:,:,jk) = ua_ad(:,:,jk) * umask(:,:,jk) |
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308 | va_ad(:,:,jk) = va_ad(:,:,jk) * vmask(:,:,jk) |
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309 | ub_ad(:,:,jk) = ub_ad(:,:,jk) + ua_ad(:,:,jk) |
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310 | vb_ad(:,:,jk) = vb_ad(:,:,jk) + va_ad(:,:,jk) |
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311 | ua_ad(:,:,jk) = ua_ad(:,:,jk) * z2dt |
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312 | va_ad(:,:,jk) = va_ad(:,:,jk) * z2dt |
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313 | END DO |
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314 | ELSE ! applied on thickness weighted velocity |
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315 | DO jk = 1, jpkm1 |
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316 | ua_ad(:,:,jk) = ua_ad(:,:,jk) / fse3u_a(:,:,jk) * umask(:,:,jk) |
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317 | va_ad(:,:,jk) = va_ad(:,:,jk) / fse3v_a(:,:,jk) * vmask(:,:,jk) |
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318 | ub_ad(:,:,jk) = ub_ad(:,:,jk) + ua_ad(:,:,jk) * fse3u_b(:,:,jk) |
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319 | vb_ad(:,:,jk) = vb_ad(:,:,jk) + va_ad(:,:,jk) * fse3v_b(:,:,jk) |
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320 | ua_ad(:,:,jk) = ua_ad(:,:,jk) * z2dt *fse3u_n(:,:,jk) |
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321 | va_ad(:,:,jk) = va_ad(:,:,jk) * z2dt *fse3v_n(:,:,jk) |
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322 | END DO |
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323 | ENDIF |
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324 | #endif |
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325 | ! |
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326 | IF( nn_timing == 1 ) CALL timing_stop('dyn_nxt_adj') |
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327 | ! |
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328 | END SUBROUTINE dyn_nxt_adj |
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329 | |
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330 | SUBROUTINE dyn_nxt_adj_tst( kumadt ) |
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331 | !!----------------------------------------------------------------------- |
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332 | !! |
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333 | !! *** ROUTINE dyn_nxt_adj_tst *** |
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334 | !! |
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335 | !! ** Purpose : Test the adjoint routine. |
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336 | !! |
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337 | !! ** Method : Verify the scalar product |
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338 | !! |
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339 | !! ( L dx )^T W dy = dx^T L^T W dy |
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340 | !! |
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341 | !! where L = tangent routine |
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342 | !! L^T = adjoint routine |
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343 | !! W = diagonal matrix of scale factors |
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344 | !! dx = input perturbation (random field) |
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345 | !! dy = L dx |
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346 | !! |
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347 | !! ** Action : Separate tests are applied for the following dx and dy: |
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348 | !! |
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349 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
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350 | !! |
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351 | !! History : |
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352 | !! ! 08-08 (A. Vidard) |
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353 | !!----------------------------------------------------------------------- |
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354 | !! * Modules used |
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355 | |
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356 | !! * Arguments |
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357 | INTEGER, INTENT(IN) :: & |
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358 | & kumadt ! Output unit |
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359 | |
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360 | INTEGER :: & |
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361 | & ji, & ! dummy loop indices |
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362 | & jj, & |
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363 | & jk |
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364 | INTEGER, DIMENSION(jpi,jpj) :: & |
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365 | & iseed_2d ! 2D seed for the random number generator |
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366 | |
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367 | !! * Local declarations |
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368 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
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369 | & zun_tlin, & ! Tangent input: now u-velocity |
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370 | & zvn_tlin, & ! Tangent input: now v-velocity |
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371 | & zua_tlin, & ! Tangent input: after u-velocity |
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372 | & zva_tlin, & ! Tangent input: after u-velocity |
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373 | & zub_tlin, & ! Tangent input: before u-velocity |
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374 | & zvb_tlin, & ! Tangent input: before u-velocity |
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375 | & zun_adin, & ! Adjoint input: now u-velocity |
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376 | & zvn_adin, & ! Adjoint input: now v-velocity |
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377 | & zua_adin, & ! Adjoint input: after u-velocity |
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378 | & zva_adin, & ! Adjoint input: after u-velocity |
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379 | & zub_adin, & ! Adjoint input: before u-velocity |
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380 | & zvb_adin, & ! Adjoint input: before u-velocity |
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381 | & zun_tlout, & ! Tangent output: now u-velocity |
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382 | & zvn_tlout, & ! Tangent output: now v-velocity |
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383 | & zua_tlout, & ! Tangent output: after u-velocity |
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384 | & zva_tlout, & ! Tangent output: after u-velocity |
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385 | & zub_tlout, & ! Tangent output: before u-velocity |
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386 | & zvb_tlout, & ! Tangent output: before u-velocity |
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387 | & zun_adout, & ! Adjoint output: now u-velocity |
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388 | & zvn_adout, & ! Adjoint output: now v-velocity |
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389 | & zua_adout, & ! Adjoint output: after u-velocity |
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390 | & zva_adout, & ! Adjoint output: after u-velocity |
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391 | & zub_adout, & ! Adjoint output: before u-velocity |
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392 | & zvb_adout, & ! Adjoint output: before u-velocity |
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393 | & znu, & ! 3D random field for u |
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394 | & znv, & ! 3D random field for v |
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395 | & zbu, & ! 3D random field for u |
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396 | & zbv, & ! 3D random field for v |
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397 | & zau, & ! 3D random field for u |
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398 | & zav ! 3D random field for v |
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399 | |
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400 | REAL(KIND=wp) :: & |
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401 | & zsp1, & ! scalar product involving the tangent routine |
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402 | & zsp1_1, & ! scalar product components |
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403 | & zsp1_2, & |
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404 | & zsp1_3, & |
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405 | & zsp1_4, & |
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406 | & zsp1_5, & |
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407 | & zsp1_6, & |
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408 | & zsp2, & ! scalar product involving the adjoint routine |
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409 | & zsp2_1, & ! scalar product components |
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410 | & zsp2_2, & |
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411 | & zsp2_3, & |
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412 | & zsp2_4, & |
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413 | & zsp2_5, & |
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414 | & zsp2_6 |
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415 | CHARACTER(LEN=14) :: cl_name |
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416 | |
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417 | ! Allocate memory |
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418 | |
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419 | ALLOCATE( & |
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420 | & zun_tlin(jpi,jpj,jpk), & |
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421 | & zvn_tlin(jpi,jpj,jpk), & |
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422 | & zua_tlin(jpi,jpj,jpk), & |
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423 | & zva_tlin(jpi,jpj,jpk), & |
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424 | & zub_tlin(jpi,jpj,jpk), & |
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425 | & zvb_tlin(jpi,jpj,jpk), & |
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426 | & zun_adin(jpi,jpj,jpk), & |
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427 | & zvn_adin(jpi,jpj,jpk), & |
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428 | & zua_adin(jpi,jpj,jpk), & |
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429 | & zva_adin(jpi,jpj,jpk), & |
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430 | & zub_adin(jpi,jpj,jpk), & |
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431 | & zvb_adin(jpi,jpj,jpk), & |
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432 | & zun_tlout(jpi,jpj,jpk), & |
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433 | & zvn_tlout(jpi,jpj,jpk), & |
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434 | & zua_tlout(jpi,jpj,jpk), & |
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435 | & zva_tlout(jpi,jpj,jpk), & |
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436 | & zub_tlout(jpi,jpj,jpk), & |
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437 | & zvb_tlout(jpi,jpj,jpk), & |
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438 | & zun_adout(jpi,jpj,jpk), & |
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439 | & zvn_adout(jpi,jpj,jpk), & |
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440 | & zua_adout(jpi,jpj,jpk), & |
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441 | & zva_adout(jpi,jpj,jpk), & |
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442 | & zub_adout(jpi,jpj,jpk), & |
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443 | & zvb_adout(jpi,jpj,jpk), & |
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444 | & znu(jpi,jpj,jpk), & |
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445 | & znv(jpi,jpj,jpk), & |
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446 | & zbu(jpi,jpj,jpk), & |
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447 | & zbv(jpi,jpj,jpk), & |
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448 | & zau(jpi,jpj,jpk), & |
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449 | & zav(jpi,jpj,jpk) & |
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450 | & ) |
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451 | |
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452 | |
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453 | !================================================================== |
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454 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
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455 | ! dy = ( hdivb_tl, hdivn_tl ) |
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456 | !================================================================== |
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457 | |
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458 | !-------------------------------------------------------------------- |
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459 | ! Reset the tangent and adjoint variables |
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460 | !-------------------------------------------------------------------- |
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461 | |
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462 | zun_tlin(:,:,:) = 0.0_wp |
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463 | zvn_tlin(:,:,:) = 0.0_wp |
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464 | zua_tlin(:,:,:) = 0.0_wp |
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465 | zva_tlin(:,:,:) = 0.0_wp |
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466 | zub_tlin(:,:,:) = 0.0_wp |
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467 | zvb_tlin(:,:,:) = 0.0_wp |
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468 | zun_adin(:,:,:) = 0.0_wp |
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469 | zvn_adin(:,:,:) = 0.0_wp |
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470 | zua_adin(:,:,:) = 0.0_wp |
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471 | zva_adin(:,:,:) = 0.0_wp |
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472 | zub_adin(:,:,:) = 0.0_wp |
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473 | zvb_adin(:,:,:) = 0.0_wp |
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474 | zun_tlout(:,:,:) = 0.0_wp |
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475 | zvn_tlout(:,:,:) = 0.0_wp |
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476 | zua_tlout(:,:,:) = 0.0_wp |
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477 | zva_tlout(:,:,:) = 0.0_wp |
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478 | zub_tlout(:,:,:) = 0.0_wp |
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479 | zvb_tlout(:,:,:) = 0.0_wp |
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480 | zun_adout(:,:,:) = 0.0_wp |
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481 | zvn_adout(:,:,:) = 0.0_wp |
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482 | zua_adout(:,:,:) = 0.0_wp |
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483 | zva_adout(:,:,:) = 0.0_wp |
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484 | zub_adout(:,:,:) = 0.0_wp |
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485 | zvb_adout(:,:,:) = 0.0_wp |
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486 | znu(:,:,:) = 0.0_wp |
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487 | znv(:,:,:) = 0.0_wp |
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488 | zbu(:,:,:) = 0.0_wp |
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489 | zbv(:,:,:) = 0.0_wp |
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490 | zau(:,:,:) = 0.0_wp |
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491 | zav(:,:,:) = 0.0_wp |
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492 | |
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493 | un_tl(:,:,:) = 0.0_wp |
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494 | vn_tl(:,:,:) = 0.0_wp |
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495 | ua_tl(:,:,:) = 0.0_wp |
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496 | va_tl(:,:,:) = 0.0_wp |
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497 | ub_tl(:,:,:) = 0.0_wp |
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498 | vb_tl(:,:,:) = 0.0_wp |
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499 | un_ad(:,:,:) = 0.0_wp |
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500 | vn_ad(:,:,:) = 0.0_wp |
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501 | ua_ad(:,:,:) = 0.0_wp |
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502 | va_ad(:,:,:) = 0.0_wp |
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503 | ub_ad(:,:,:) = 0.0_wp |
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504 | vb_ad(:,:,:) = 0.0_wp |
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505 | |
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506 | |
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507 | !-------------------------------------------------------------------- |
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508 | ! Initialize the tangent input with random noise: dx |
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509 | !-------------------------------------------------------------------- |
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510 | |
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511 | CALL grid_random( znu, 'U', 0.0_wp, stdu ) |
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512 | CALL grid_random( znv, 'V', 0.0_wp, stdv ) |
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513 | CALL grid_random( zbu, 'U', 0.0_wp, stdu ) |
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514 | CALL grid_random( zbv, 'V', 0.0_wp, stdv ) |
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515 | CALL grid_random( zau, 'U', 0.0_wp, stdu ) |
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516 | CALL grid_random( zav, 'V', 0.0_wp, stdv ) |
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517 | |
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518 | DO jk = 1, jpk |
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519 | DO jj = nldj, nlej |
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520 | DO ji = nldi, nlei |
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521 | zun_tlin(ji,jj,jk) = znu(ji,jj,jk) |
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522 | zvn_tlin(ji,jj,jk) = znv(ji,jj,jk) |
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523 | zub_tlin(ji,jj,jk) = zbu(ji,jj,jk) |
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524 | zvb_tlin(ji,jj,jk) = zbv(ji,jj,jk) |
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525 | zua_tlin(ji,jj,jk) = zau(ji,jj,jk) |
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526 | zva_tlin(ji,jj,jk) = zav(ji,jj,jk) |
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527 | END DO |
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528 | END DO |
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529 | END DO |
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530 | |
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531 | un_tl(:,:,:) = zun_tlin(:,:,:) |
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532 | vn_tl(:,:,:) = zvn_tlin(:,:,:) |
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533 | ub_tl(:,:,:) = zub_tlin(:,:,:) |
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534 | vb_tl(:,:,:) = zvb_tlin(:,:,:) |
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535 | ua_tl(:,:,:) = zua_tlin(:,:,:) |
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536 | va_tl(:,:,:) = zva_tlin(:,:,:) |
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537 | |
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538 | call dyn_nxt_tan ( nit000 ) |
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539 | |
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540 | zun_tlout(:,:,:) = un_tl(:,:,:) |
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541 | zvn_tlout(:,:,:) = vn_tl(:,:,:) |
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542 | zub_tlout(:,:,:) = ub_tl(:,:,:) |
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543 | zvb_tlout(:,:,:) = vb_tl(:,:,:) |
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544 | zua_tlout(:,:,:) = ua_tl(:,:,:) |
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545 | zva_tlout(:,:,:) = va_tl(:,:,:) |
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546 | |
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547 | !-------------------------------------------------------------------- |
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548 | ! Initialize the adjoint variables: dy^* = W dy |
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549 | !-------------------------------------------------------------------- |
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550 | |
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551 | DO jk = 1, jpk |
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552 | DO jj = nldj, nlej |
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553 | DO ji = nldi, nlei |
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554 | zun_adin(ji,jj,jk) = zun_tlout(ji,jj,jk) & |
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555 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) & |
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556 | & * umask(ji,jj,jk) |
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557 | zvn_adin(ji,jj,jk) = zvn_tlout(ji,jj,jk) & |
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558 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) & |
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559 | & * vmask(ji,jj,jk) |
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560 | zub_adin(ji,jj,jk) = zub_tlout(ji,jj,jk) & |
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561 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) & |
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562 | & * umask(ji,jj,jk) |
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563 | zvb_adin(ji,jj,jk) = zvb_tlout(ji,jj,jk) & |
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564 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) & |
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565 | & * vmask(ji,jj,jk) |
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566 | zua_adin(ji,jj,jk) = zua_tlout(ji,jj,jk) & |
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567 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) & |
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568 | & * umask(ji,jj,jk) |
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569 | zva_adin(ji,jj,jk) = zva_tlout(ji,jj,jk) & |
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570 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) & |
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571 | & * vmask(ji,jj,jk) |
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572 | END DO |
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573 | END DO |
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574 | END DO |
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575 | !-------------------------------------------------------------------- |
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576 | ! Compute the scalar product: ( L dx )^T W dy |
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577 | !-------------------------------------------------------------------- |
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578 | |
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579 | zsp1_1 = DOT_PRODUCT( zun_tlout, zun_adin ) |
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580 | zsp1_2 = DOT_PRODUCT( zvn_tlout, zvn_adin ) |
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581 | zsp1_3 = DOT_PRODUCT( zub_tlout, zub_adin ) |
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582 | zsp1_4 = DOT_PRODUCT( zvb_tlout, zvb_adin ) |
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583 | zsp1_5 = DOT_PRODUCT( zua_tlout, zua_adin ) |
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584 | zsp1_6 = DOT_PRODUCT( zva_tlout, zva_adin ) |
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585 | zsp1 = zsp1_1 + zsp1_2 + zsp1_3 + zsp1_4 + zsp1_5 + zsp1_6 |
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586 | |
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587 | !-------------------------------------------------------------------- |
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588 | ! Call the adjoint routine: dx^* = L^T dy^* |
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589 | !-------------------------------------------------------------------- |
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590 | |
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591 | un_ad(:,:,:) = zun_adin(:,:,:) |
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592 | vn_ad(:,:,:) = zvn_adin(:,:,:) |
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593 | ub_ad(:,:,:) = zub_adin(:,:,:) |
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594 | vb_ad(:,:,:) = zvb_adin(:,:,:) |
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595 | ua_ad(:,:,:) = zua_adin(:,:,:) |
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596 | va_ad(:,:,:) = zva_adin(:,:,:) |
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597 | |
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598 | CALL dyn_nxt_adj ( nit000 ) |
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599 | |
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600 | zun_adout(:,:,:) = un_ad(:,:,:) |
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601 | zvn_adout(:,:,:) = vn_ad(:,:,:) |
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602 | zub_adout(:,:,:) = ub_ad(:,:,:) |
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603 | zvb_adout(:,:,:) = vb_ad(:,:,:) |
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604 | zua_adout(:,:,:) = ua_ad(:,:,:) |
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605 | zva_adout(:,:,:) = va_ad(:,:,:) |
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606 | |
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607 | zsp2_1 = DOT_PRODUCT( zun_tlin, zun_adout ) |
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608 | zsp2_2 = DOT_PRODUCT( zvn_tlin, zvn_adout ) |
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609 | zsp2_3 = DOT_PRODUCT( zub_tlin, zub_adout ) |
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610 | zsp2_4 = DOT_PRODUCT( zvb_tlin, zvb_adout ) |
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611 | zsp2_5 = DOT_PRODUCT( zua_tlin, zua_adout ) |
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612 | zsp2_6 = DOT_PRODUCT( zva_tlin, zva_adout ) |
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613 | zsp2 = zsp2_1 + zsp2_2 + zsp2_3 + zsp2_4 + zsp2_5 + zsp2_6 |
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614 | |
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615 | ! Compare the scalar products |
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616 | ! 14 char:'12345678901234' |
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617 | cl_name = 'dyn_nxt_adj ' |
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618 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
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619 | |
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620 | DEALLOCATE( & |
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621 | & zun_tlin, & |
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622 | & zvn_tlin, & |
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623 | & zua_tlin, & |
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624 | & zva_tlin, & |
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625 | & zub_tlin, & |
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626 | & zvb_tlin, & |
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627 | & zun_adin, & |
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628 | & zvn_adin, & |
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629 | & zua_adin, & |
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630 | & zva_adin, & |
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631 | & zub_adin, & |
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632 | & zvb_adin, & |
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633 | & zun_tlout, & |
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634 | & zvn_tlout, & |
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635 | & zua_tlout, & |
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636 | & zva_tlout, & |
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637 | & zub_tlout, & |
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638 | & zvb_tlout, & |
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639 | & zun_adout, & |
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640 | & zvn_adout, & |
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641 | & zua_adout, & |
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642 | & zva_adout, & |
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643 | & zub_adout, & |
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644 | & zvb_adout, & |
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645 | & znu, & |
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646 | & znv, & |
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647 | & zbu, & |
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648 | & zbv, & |
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649 | & zau, & |
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650 | & zav & |
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651 | & ) |
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652 | |
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653 | |
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654 | END SUBROUTINE dyn_nxt_adj_tst |
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655 | !!====================================================================== |
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656 | #endif |
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657 | END MODULE dynnxt_tam |
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