| 1 | MODULE dynzdf_tam |
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| 2 | #ifdef key_tam |
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| 3 | !!============================================================================== |
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| 4 | !! *** MODULE dynzdf_tam *** |
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| 5 | !! Ocean dynamics : vertical component of the momentum mixing trend |
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| 6 | !! Tangent and adjoint module |
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| 7 | !!============================================================================== |
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| 8 | !! History of the direct module: |
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| 9 | !! 9.0 ! 05-11 (G. Madec) Original code |
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| 10 | !! History of the T&A module: |
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| 11 | !! 9.0 ! 08-06 (A. Vidard) Skeleton |
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| 12 | !! 9.0 ! 08-08 (A. Vidard) tam of the 05-11 version |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | !! dyn_zdf : Update the momentum trend with the vertical diffusion |
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| 17 | !! zdf_ctl : initializations of the vertical diffusion scheme |
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| 18 | !!---------------------------------------------------------------------- |
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| 19 | USE par_kind , ONLY: & ! Precision variables |
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| 20 | & wp |
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| 21 | USE par_oce , ONLY: & ! Ocean space and time domain variables |
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| 22 | & jpi, & |
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| 23 | & jpj, & |
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| 24 | & jpk, & |
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| 25 | & jpiglo |
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| 26 | USE oce_tam , ONLY: & ! ocean dynamics and tracers tam variables |
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| 27 | & ub_tl, & |
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| 28 | & vb_tl, & |
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| 29 | & ub_ad, & |
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| 30 | & vb_ad, & |
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| 31 | & ua_tl, & |
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| 32 | & va_tl, & |
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| 33 | & ua_ad, & |
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| 34 | & va_ad |
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| 35 | USE dom_oce , ONLY: & ! ocean space and time domain variables |
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| 36 | & rdt, & |
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| 37 | & neuler, & |
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| 38 | & e1u, & |
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| 39 | & e2u, & |
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| 40 | & e1v, & |
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| 41 | & e2v, & |
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| 42 | #if defined key_zco |
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| 43 | & e3t_0, & |
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| 44 | #else |
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| 45 | & e3u, & |
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| 46 | & e3v, & |
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| 47 | #endif |
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| 48 | & mig, & |
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| 49 | & mjg, & |
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| 50 | & nldi, & |
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| 51 | & nldj, & |
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| 52 | & nlei, & |
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| 53 | & nlej, & |
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| 54 | & umask, & |
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| 55 | & vmask, & |
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| 56 | & ln_sco, & |
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| 57 | & lk_esopa |
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| 58 | USE zdf_oce , ONLY: & ! ocean vertical physics |
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| 59 | & avmu, & |
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| 60 | & avmv, & |
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| 61 | & avm0, & |
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| 62 | & ln_zdfexp |
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| 63 | USE dynzdf_exp_tam, ONLY: & ! vertical diffusion: explicit (dyn_zdf_exp routine) |
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| 64 | & dyn_zdf_exp_tan, & |
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| 65 | & dyn_zdf_exp_adj |
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| 66 | USE dynzdf_imp_tam, ONLY: & ! vertical diffusion: implicit (dyn_zdf_imp routine) |
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| 67 | & dyn_zdf_imp_tan, & |
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| 68 | & dyn_zdf_imp_adj |
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| 69 | USE ldfdyn_oce , ONLY: & ! ocean dynamics: lateral physics |
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| 70 | & ln_dynldf_iso, & |
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| 71 | & ln_dynldf_hor |
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| 72 | USE in_out_manager, ONLY: & ! I/O manager |
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| 73 | & numout, & |
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| 74 | & nit000, & |
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| 75 | & nitend, & |
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| 76 | & lwp |
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| 77 | USE gridrandom , ONLY: & ! Random Gaussian noise on grids |
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| 78 | & grid_random |
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| 79 | USE dotprodfld, ONLY: & ! Computes dot product for 3D and 2D fields |
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| 80 | & dot_product |
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| 81 | USE tstool_tam , ONLY: & |
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| 82 | & prntst_adj, & ! |
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| 83 | ! random field standard deviation for: |
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| 84 | & stdu, & ! u-velocity |
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| 85 | & stdv |
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| 86 | IMPLICIT NONE |
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| 87 | PRIVATE |
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| 88 | |
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| 89 | PUBLIC dyn_zdf_tan ! routine called by step_tam.F90 |
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| 90 | PUBLIC dyn_zdf_adj ! routine called by step_tam.F90 |
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| 91 | PUBLIC dyn_zdf_adj_tst! routine called by tst.F90 |
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| 92 | |
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| 93 | INTEGER :: nzdf = 0 ! type vertical diffusion algorithm used |
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| 94 | ! ! defined from ln_zdf... namlist logicals) |
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| 95 | |
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| 96 | REAL(wp) :: r2dt ! time-step, = 2 rdttra |
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| 97 | ! ! except at nit000 (=rdttra) if neuler=0 |
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| 98 | LOGICAL :: lfirst = .TRUE. |
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| 99 | |
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| 100 | !! * Substitutions |
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| 101 | # include "domzgr_substitute.h90" |
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| 102 | # include "zdfddm_substitute.h90" |
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| 103 | # include "vectopt_loop_substitute.h90" |
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| 104 | |
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| 105 | CONTAINS |
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| 106 | |
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| 107 | SUBROUTINE dyn_zdf_tan( kt ) |
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| 108 | !!---------------------------------------------------------------------- |
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| 109 | !! *** ROUTINE dyn_zdf_tan *** |
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| 110 | !! |
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| 111 | !! ** Purpose of the direct routine: |
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| 112 | !! compute the vertical ocean dynamics physics. |
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| 113 | !!--------------------------------------------------------------------- |
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| 114 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 115 | !! |
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| 116 | IF( kt == nit000 .AND. lfirst ) CALL zdf_ctl_tam ! initialisation & control of options |
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| 117 | |
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| 118 | ! ! set time step |
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| 119 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; r2dt = rdt ! = rdtra (restarting with Euler time stepping) |
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| 120 | ELSEIF( kt <= nit000 + 1) THEN ; r2dt = 2. * rdt ! = 2 rdttra (leapfrog) |
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| 121 | ENDIF |
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| 122 | SELECT CASE ( nzdf ) ! compute lateral mixing trend and add it to the general trend |
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| 123 | ! |
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| 124 | CASE ( 0 ) ; CALL dyn_zdf_exp_tan ( kt, r2dt ) ! explicit scheme |
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| 125 | CASE ( 1 ) ; CALL dyn_zdf_imp_tan ( kt, r2dt ) ! implicit scheme (k-j-i loop) |
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| 126 | ! |
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| 127 | END SELECT |
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| 128 | END SUBROUTINE dyn_zdf_tan |
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| 129 | |
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| 130 | SUBROUTINE dyn_zdf_adj( kt ) |
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| 131 | !!---------------------------------------------------------------------- |
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| 132 | !! *** ROUTINE dyn_zdf_adj *** |
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| 133 | !! |
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| 134 | !! ** Purpose of the direct routine: |
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| 135 | !! compute the vertical ocean dynamics physics. |
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| 136 | !!--------------------------------------------------------------------- |
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| 137 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 138 | !! |
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| 139 | IF( kt == nitend .AND. lfirst ) CALL zdf_ctl_tam ! initialisation & control of options |
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| 140 | |
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| 141 | ! ! set time step |
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| 142 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; r2dt = rdt ! = rdtra (restarting with Euler time stepping) |
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| 143 | ELSEIF( kt <= nit000 + 1) THEN ; r2dt = 2. * rdt ! = 2 rdttra (leapfrog) |
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| 144 | ELSEIF( kt == nitend ) THEN ; r2dt = 2. * rdt |
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| 145 | ENDIF |
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| 146 | SELECT CASE ( nzdf ) ! compute lateral mixing trend and add it to the general trend |
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| 147 | ! |
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| 148 | CASE ( 0 ) ; CALL dyn_zdf_exp_adj ( kt, r2dt ) ! explicit scheme |
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| 149 | CASE ( 1 ) ; CALL dyn_zdf_imp_adj ( kt, r2dt ) ! implicit scheme (k-j-i loop) |
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| 150 | ! |
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| 151 | END SELECT |
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| 152 | |
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| 153 | END SUBROUTINE dyn_zdf_adj |
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| 154 | SUBROUTINE zdf_ctl_tam |
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| 155 | !!---------------------------------------------------------------------- |
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| 156 | !! *** ROUTINE zdf_ctl_tam *** |
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| 157 | !! |
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| 158 | !! ** Purpose : initializations of the vertical diffusion scheme |
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| 159 | !! |
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| 160 | !! ** Method : implicit (euler backward) scheme (default) |
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| 161 | !! explicit (time-splitting) scheme if ln_zdfexp=T |
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| 162 | !!---------------------------------------------------------------------- |
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| 163 | USE zdftke, ONLY : lk_zdftke |
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| 164 | USE zdfkpp, ONLY : lk_zdfkpp |
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| 165 | !!---------------------------------------------------------------------- |
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| 166 | |
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| 167 | ! Choice from ln_zdfexp read in namelist in zdfini |
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| 168 | IF( ln_zdfexp ) THEN ; nzdf = 0 ! use explicit scheme |
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| 169 | ELSE ; nzdf = 1 ! use implicit scheme |
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| 170 | ENDIF |
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| 171 | |
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| 172 | ! Force implicit schemes |
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| 173 | IF( lk_zdftke .OR. lk_zdfkpp ) nzdf = 1 ! TKE or KPP physics |
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| 174 | IF( ln_dynldf_iso ) nzdf = 1 ! iso-neutral lateral physics |
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| 175 | IF( ln_dynldf_hor .AND. ln_sco ) nzdf = 1 ! horizontal lateral physics in s-coordinate |
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| 176 | |
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| 177 | |
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| 178 | IF( lk_esopa ) nzdf = -1 ! Esopa key: All schemes used |
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| 179 | |
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| 180 | IF(lwp) THEN ! Print the choice |
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| 181 | WRITE(numout,*) |
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| 182 | WRITE(numout,*) 'dyn:zdf_ctl_tam : vertical dynamics physics scheme' |
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| 183 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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| 184 | IF( nzdf == -1 ) WRITE(numout,*) ' ESOPA test All scheme used' |
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| 185 | IF( nzdf == 0 ) WRITE(numout,*) ' Explicit time-splitting scheme' |
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| 186 | IF( nzdf == 1 ) WRITE(numout,*) ' Implicit (euler backward) scheme' |
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| 187 | ENDIF |
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| 188 | ! |
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| 189 | lfirst = .FALSE. |
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| 190 | END SUBROUTINE zdf_ctl_tam |
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| 191 | SUBROUTINE dyn_zdf_adj_tst( kumadt ) |
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| 192 | !!----------------------------------------------------------------------- |
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| 193 | !! |
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| 194 | !! *** ROUTINE dyn_zdf_adj_tst *** |
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| 195 | !! |
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| 196 | !! ** Purpose : Test the adjoint routine. |
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| 197 | !! |
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| 198 | !! ** Method : Verify the scalar product |
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| 199 | !! |
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| 200 | !! ( L dx )^T W dy = dx^T L^T W dy |
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| 201 | !! |
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| 202 | !! where L = tangent routine |
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| 203 | !! L^T = adjoint routine |
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| 204 | !! W = diagonal matrix of scale factors |
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| 205 | !! dx = input perturbation (random field) |
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| 206 | !! dy = L dx |
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| 207 | !! |
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| 208 | !! ** Action : Separate tests are applied for the following dx and dy: |
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| 209 | !! |
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| 210 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
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| 211 | !! |
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| 212 | !! History : |
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| 213 | !! ! 08-08 (A. Vidard) |
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| 214 | !!----------------------------------------------------------------------- |
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| 215 | !! * Modules used |
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| 216 | |
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| 217 | !! * Arguments |
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| 218 | INTEGER, INTENT(IN) :: & |
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| 219 | & kumadt ! Output unit |
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| 220 | INTEGER :: & |
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| 221 | & ji, & ! dummy loop indices |
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| 222 | & jj, & |
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| 223 | & jk |
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| 224 | INTEGER, DIMENSION(jpi,jpj) :: & |
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| 225 | & iseed_2d ! 2D seed for the random number generator |
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| 226 | |
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| 227 | !! * Local declarations |
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| 228 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
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| 229 | & zub_tlin, & ! Tangent input: before u-velocity |
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| 230 | & zvb_tlin, & ! Tangent input: before v-velocity |
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| 231 | & zua_tlin, & ! Tangent input: after u-velocity |
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| 232 | & zva_tlin, & ! Tangent input: after v-velocity |
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| 233 | & zua_tlout, & ! Tangent output: after u-velocity |
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| 234 | & zva_tlout, & ! Tangent output: after v-velocity |
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| 235 | & zua_adin, & ! Adjoint input: after u-velocity |
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| 236 | & zva_adin, & ! Adjoint input: after v-velocity |
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| 237 | & zub_adout, & ! Adjoint output: before u-velocity |
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| 238 | & zvb_adout, & ! Adjoint output: before v-velocity |
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| 239 | & zua_adout, & ! Adjoint output: after u-velocity |
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| 240 | & zva_adout, & ! Adjoint output: after v-velocity |
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| 241 | & zau, & ! 3D random field for ua |
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| 242 | & zav, & ! 3D random field for va |
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| 243 | & zbu, & ! 3D random field for ub |
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| 244 | & zbv ! 3D random field for vb |
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| 245 | REAL(KIND=wp) :: & |
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| 246 | & zsp1, & ! scalar product involving the tangent routine |
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| 247 | & zsp1_1, & ! scalar product components |
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| 248 | & zsp1_2, & |
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| 249 | & zsp2, & ! scalar product involving the adjoint routine |
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| 250 | & zsp2_1, & ! scalar product components |
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| 251 | & zsp2_2, & |
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| 252 | & zsp2_3, & |
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| 253 | & zsp2_4 |
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| 254 | CHARACTER(LEN=14) :: cl_name |
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| 255 | ! Allocate memory |
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| 256 | |
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| 257 | ALLOCATE( & |
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| 258 | & zua_tlin(jpi,jpj,jpk), & |
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| 259 | & zva_tlin(jpi,jpj,jpk), & |
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| 260 | & zub_tlin(jpi,jpj,jpk), & |
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| 261 | & zvb_tlin(jpi,jpj,jpk), & |
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| 262 | & zua_tlout(jpi,jpj,jpk), & |
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| 263 | & zva_tlout(jpi,jpj,jpk), & |
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| 264 | & zua_adin(jpi,jpj,jpk), & |
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| 265 | & zva_adin(jpi,jpj,jpk), & |
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| 266 | & zua_adout(jpi,jpj,jpk), & |
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| 267 | & zva_adout(jpi,jpj,jpk), & |
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| 268 | & zub_adout(jpi,jpj,jpk), & |
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| 269 | & zvb_adout(jpi,jpj,jpk), & |
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| 270 | & zau(jpi,jpj,jpk), & |
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| 271 | & zav(jpi,jpj,jpk), & |
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| 272 | & zbu(jpi,jpj,jpk), & |
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| 273 | & zbv(jpi,jpj,jpk) & |
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| 274 | & ) |
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| 275 | |
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| 276 | ! Initialize the direct trajectory |
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| 277 | avmu(:,:,:) = avm0 * umask(:,:,:) |
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| 278 | avmv(:,:,:) = avm0 * vmask(:,:,:) |
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| 279 | |
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| 280 | !================================================================== |
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| 281 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
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| 282 | ! dy = ( hdivb_tl, hdivn_tl ) |
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| 283 | !================================================================== |
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| 284 | |
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| 285 | !-------------------------------------------------------------------- |
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| 286 | ! Reset the tangent and adjoint variables |
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| 287 | !-------------------------------------------------------------------- |
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| 288 | |
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| 289 | zua_tlin(:,:,:) = 0.0_wp |
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| 290 | zva_tlin(:,:,:) = 0.0_wp |
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| 291 | zub_tlin(:,:,:) = 0.0_wp |
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| 292 | zvb_tlin(:,:,:) = 0.0_wp |
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| 293 | zua_tlout(:,:,:) = 0.0_wp |
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| 294 | zva_tlout(:,:,:) = 0.0_wp |
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| 295 | zua_adin(:,:,:) = 0.0_wp |
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| 296 | zva_adin(:,:,:) = 0.0_wp |
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| 297 | zua_adout(:,:,:) = 0.0_wp |
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| 298 | zva_adout(:,:,:) = 0.0_wp |
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| 299 | zub_adout(:,:,:) = 0.0_wp |
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| 300 | zvb_adout(:,:,:) = 0.0_wp |
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| 301 | zau(:,:,:) = 0.0_wp |
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| 302 | zav(:,:,:) = 0.0_wp |
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| 303 | zbu(:,:,:) = 0.0_wp |
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| 304 | zbv(:,:,:) = 0.0_wp |
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| 305 | |
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| 306 | ub_tl(:,:,:) = 0.0_wp |
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| 307 | vb_tl(:,:,:) = 0.0_wp |
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| 308 | ua_tl(:,:,:) = 0.0_wp |
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| 309 | va_tl(:,:,:) = 0.0_wp |
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| 310 | ub_ad(:,:,:) = 0.0_wp |
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| 311 | vb_ad(:,:,:) = 0.0_wp |
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| 312 | ua_ad(:,:,:) = 0.0_wp |
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| 313 | va_ad(:,:,:) = 0.0_wp |
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| 314 | |
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| 315 | !-------------------------------------------------------------------- |
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| 316 | ! Initialize the tangent input with random noise: dx |
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| 317 | !-------------------------------------------------------------------- |
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| 318 | |
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| 319 | DO jj = 1, jpj |
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| 320 | DO ji = 1, jpi |
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| 321 | iseed_2d(ji,jj) = - ( 596035 + & |
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| 322 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
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| 323 | END DO |
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| 324 | END DO |
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| 325 | CALL grid_random( iseed_2d, zbu, 'U', 0.0_wp, stdu ) |
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| 326 | |
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| 327 | DO jj = 1, jpj |
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| 328 | DO ji = 1, jpi |
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| 329 | iseed_2d(ji,jj) = - ( 523432 + & |
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| 330 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
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| 331 | END DO |
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| 332 | END DO |
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| 333 | CALL grid_random( iseed_2d, zbv, 'V', 0.0_wp, stdv ) |
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| 334 | |
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| 335 | DO jj = 1, jpj |
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| 336 | DO ji = 1, jpi |
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| 337 | iseed_2d(ji,jj) = - ( 432545 + & |
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| 338 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
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| 339 | END DO |
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| 340 | END DO |
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| 341 | CALL grid_random( iseed_2d, zau, 'U', 0.0_wp, stdu ) |
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| 342 | |
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| 343 | DO jj = 1, jpj |
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| 344 | DO ji = 1, jpi |
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| 345 | iseed_2d(ji,jj) = - ( 287503 + & |
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| 346 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
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| 347 | END DO |
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| 348 | END DO |
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| 349 | CALL grid_random( iseed_2d, zav, 'V', 0.0_wp, stdv ) |
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| 350 | DO jk = 1, jpk |
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| 351 | DO jj = nldj, nlej |
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| 352 | DO ji = nldi, nlei |
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| 353 | zub_tlin(ji,jj,jk) = zbu(ji,jj,jk) |
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| 354 | zvb_tlin(ji,jj,jk) = zbv(ji,jj,jk) |
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| 355 | zua_tlin(ji,jj,jk) = zau(ji,jj,jk) |
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| 356 | zva_tlin(ji,jj,jk) = zav(ji,jj,jk) |
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| 357 | END DO |
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| 358 | END DO |
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| 359 | END DO |
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| 360 | |
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| 361 | ub_tl(:,:,:) = zub_tlin(:,:,:) |
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| 362 | vb_tl(:,:,:) = zvb_tlin(:,:,:) |
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| 363 | ua_tl(:,:,:) = zua_tlin(:,:,:) |
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| 364 | va_tl(:,:,:) = zva_tlin(:,:,:) |
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| 365 | |
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| 366 | CALL dyn_zdf_tan( nit000 ) |
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| 367 | |
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| 368 | zua_tlout(:,:,:) = ua_tl(:,:,:) |
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| 369 | zva_tlout(:,:,:) = va_tl(:,:,:) |
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| 370 | |
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| 371 | !-------------------------------------------------------------------- |
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| 372 | ! Initialize the adjoint variables: dy^* = W dy |
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| 373 | !-------------------------------------------------------------------- |
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| 374 | |
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| 375 | DO jk = 1, jpk |
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| 376 | DO jj = nldj, nlej |
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| 377 | DO ji = nldi, nlei |
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| 378 | zua_adin(ji,jj,jk) = zua_tlout(ji,jj,jk) & |
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| 379 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) & |
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| 380 | & * umask(ji,jj,jk) |
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| 381 | zva_adin(ji,jj,jk) = zva_tlout(ji,jj,jk) & |
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| 382 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) & |
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| 383 | & * vmask(ji,jj,jk) |
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| 384 | END DO |
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| 385 | END DO |
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| 386 | END DO |
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| 387 | !-------------------------------------------------------------------- |
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| 388 | ! Compute the scalar product: ( L dx )^T W dy |
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| 389 | !-------------------------------------------------------------------- |
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| 390 | |
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| 391 | zsp1_1 = DOT_PRODUCT( zua_tlout, zua_adin ) |
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| 392 | zsp1_2 = DOT_PRODUCT( zva_tlout, zva_adin ) |
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| 393 | zsp1 = zsp1_1 + zsp1_2 |
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| 394 | |
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| 395 | !-------------------------------------------------------------------- |
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| 396 | ! Call the adjoint routine: dx^* = L^T dy^* |
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| 397 | !-------------------------------------------------------------------- |
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| 398 | |
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| 399 | ua_ad(:,:,:) = zua_adin(:,:,:) |
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| 400 | va_ad(:,:,:) = zva_adin(:,:,:) |
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| 401 | |
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| 402 | CALL dyn_zdf_adj ( nit000 ) |
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| 403 | zub_adout(:,:,:) = ub_ad(:,:,:) |
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| 404 | zvb_adout(:,:,:) = vb_ad(:,:,:) |
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| 405 | zua_adout(:,:,:) = ua_ad(:,:,:) |
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| 406 | zva_adout(:,:,:) = va_ad(:,:,:) |
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| 407 | |
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| 408 | zsp2_1 = DOT_PRODUCT( zub_tlin, zub_adout ) |
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| 409 | zsp2_2 = DOT_PRODUCT( zvb_tlin, zvb_adout ) |
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| 410 | zsp2_3 = DOT_PRODUCT( zua_tlin, zua_adout ) |
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| 411 | zsp2_4 = DOT_PRODUCT( zva_tlin, zva_adout ) |
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| 412 | zsp2 = zsp2_1 + zsp2_2 + zsp2_3 + zsp2_4 |
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| 413 | |
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| 414 | ! Compare the scalar products |
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| 415 | |
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| 416 | ! 14 char:'12345678901234' |
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| 417 | cl_name = 'dyn_zdf_adj ' |
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| 418 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
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| 419 | |
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| 420 | DEALLOCATE( & |
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| 421 | & zua_tlin, & |
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| 422 | & zva_tlin, & |
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| 423 | & zub_tlin, & |
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| 424 | & zvb_tlin, & |
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| 425 | & zua_tlout, & |
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| 426 | & zva_tlout, & |
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| 427 | & zua_adin, & |
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| 428 | & zva_adin, & |
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| 429 | & zua_adout, & |
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| 430 | & zva_adout, & |
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| 431 | & zub_adout, & |
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| 432 | & zvb_adout, & |
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| 433 | & zau, & |
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| 434 | & zav, & |
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| 435 | & zbu, & |
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| 436 | & zbv & |
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| 437 | & ) |
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| 438 | |
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| 439 | END SUBROUTINE dyn_zdf_adj_tst |
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| 440 | !!============================================================================== |
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| 441 | #endif |
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| 442 | END MODULE dynzdf_tam |
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