| 1 | MODULE dynadv_tam |
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| 2 | #ifdef key_tam |
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| 3 | !!============================================================================== |
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| 4 | !! *** MODULE dynadv_tam *** |
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| 5 | !! Ocean active tracers: advection scheme control |
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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 ! 06-11 (G. Madec) Original code |
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| 10 | !! History of the TAM module: |
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| 11 | !! 9.0 ! 08-08 (A. Vidard) first version |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | |
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| 14 | !!---------------------------------------------------------------------- |
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| 15 | !! dyn_adv : compute the momentum advection trend |
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| 16 | !! dyn_adv_ctl : control the different options of advection scheme |
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| 17 | !!---------------------------------------------------------------------- |
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| 18 | USE par_kind, ONLY: & ! Precision variables |
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| 19 | & wp |
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| 20 | USE par_oce, ONLY: & ! Ocean space and time domain variables |
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| 21 | & jpi, & |
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| 22 | & jpj, & |
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| 23 | & jpk, & |
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| 24 | & jpiglo |
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| 25 | USE oce, ONLY: & |
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| 26 | & un, & |
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| 27 | & vn, & |
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| 28 | & wn, & |
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| 29 | & ua, & |
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| 30 | & va |
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| 31 | USE dom_oce, ONLY: & ! ocean space and time domain |
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| 32 | & umask, & |
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| 33 | & vmask, & |
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| 34 | & mig, & |
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| 35 | & mjg, & |
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| 36 | & e1u, & |
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| 37 | & e2u, & |
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| 38 | & e1v, & |
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| 39 | & e2v, & |
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| 40 | # if defined key_zco |
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| 41 | & e3t_0, & |
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| 42 | # else |
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| 43 | & e3u, & |
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| 44 | & e3v, & |
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| 45 | # endif |
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| 46 | & nldi, & |
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| 47 | & nldj, & |
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| 48 | & nlei, & |
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| 49 | & nlej |
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| 50 | USE oce_tam, ONLY: & |
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| 51 | & un_tl, & |
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| 52 | & vn_tl, & |
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| 53 | & wn_tl, & |
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| 54 | & ua_tl, & |
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| 55 | & va_tl, & |
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| 56 | & un_ad, & |
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| 57 | & vn_ad, & |
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| 58 | & wn_ad, & |
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| 59 | & ua_ad, & |
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| 60 | & va_ad |
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| 61 | |
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| 62 | USE in_out_manager, ONLY: & ! I/O manager |
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| 63 | & ctl_stop, & |
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| 64 | & lwp, & |
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| 65 | & lk_esopa, & |
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| 66 | & numout, & |
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| 67 | & numnam, & |
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| 68 | & nit000, & |
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| 69 | & nitend |
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| 70 | USE gridrandom, ONLY: & ! Random Gaussian noise on grids |
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| 71 | & grid_random |
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| 72 | USE dotprodfld, ONLY: & ! Computes dot product for 3D and 2D fields |
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| 73 | & dot_product |
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| 74 | USE tstool_tam, ONLY: & |
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| 75 | & prntst_adj, & ! |
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| 76 | & prntst_tlm, & ! |
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| 77 | & stdu, & ! stdev for u-velocity |
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| 78 | & stdv, & ! v-velocity |
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| 79 | & stdw ! w-velocity |
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| 80 | |
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| 81 | USE dynadv, ONLY: & |
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| 82 | & dyn_adv_ctl, & |
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| 83 | & ln_dynadv_vec, & ! vector form flag |
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| 84 | & ln_dynadv_cen2, & ! flux form - 2nd order centered scheme flag |
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| 85 | & ln_dynadv_ubs ! flux form - 3rd order UBS s |
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| 86 | |
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| 87 | ! USE dynadv_cen2_tam ! centred flux form advection (dyn_adv_cen2 routine) |
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| 88 | ! USE dynadv_ubs_tam ! UBS flux form advection (dyn_adv_ubs routine) |
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| 89 | USE dynkeg_tam, ONLY: & ! kinetic energy gradient (dyn_keg routine) |
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| 90 | & dyn_keg_tan, & |
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| 91 | & dyn_keg_adj |
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| 92 | USE dynzad_tam, ONLY: & ! vertical advection (dyn_zad routine) |
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| 93 | & dyn_zad_tan, & |
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| 94 | & dyn_zad_adj |
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| 95 | |
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| 96 | USE wzvmod , ONLY: & |
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| 97 | & wzv |
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| 98 | USE divcur , ONLY: & |
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| 99 | & div_cur |
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| 100 | USE wzvmod_tam , ONLY: & |
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| 101 | & wzv_tan |
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| 102 | USE divcur_tam , ONLY: & |
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| 103 | & div_cur_tan |
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| 104 | |
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| 105 | |
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| 106 | IMPLICIT NONE |
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| 107 | PRIVATE |
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| 108 | |
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| 109 | PUBLIC dyn_adv_tan ! routine called by steptan module |
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| 110 | PUBLIC dyn_adv_adj ! routine called by stepadj module |
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| 111 | PUBLIC dyn_adv_adj_tst ! routine called by the tst module |
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| 112 | PUBLIC dyn_adv_tlm_tst ! routine called by tamtst.F90 |
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| 113 | |
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| 114 | INTEGER :: nadv ! choice of the formulation and scheme for the advection |
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| 115 | LOGICAL :: lfirst=.TRUE. |
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| 116 | !! * Substitutions |
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| 117 | # include "domzgr_substitute.h90" |
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| 118 | # include "vectopt_loop_substitute.h90" |
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| 119 | |
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| 120 | CONTAINS |
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| 121 | |
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| 122 | SUBROUTINE dyn_adv_tan( kt ) |
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| 123 | !!--------------------------------------------------------------------- |
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| 124 | !! *** ROUTINE dyn_adv_tan *** |
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| 125 | !! |
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| 126 | !! ** Purpose of the direct routine: |
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| 127 | !! compute the ocean momentum advection trend. |
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| 128 | !! |
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| 129 | !! ** Method : - Update (ua,va) with the advection term following nadv |
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| 130 | !! NB: in flux form advection (ln_dynadv_cen2 or ln_dynadv_ubs=T) |
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| 131 | !! a metric term is add to the coriolis term while in vector form |
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| 132 | !! it is the relative vorticity which is added to coriolis term |
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| 133 | !! (see dynvor module). |
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| 134 | !!---------------------------------------------------------------------- |
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| 135 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 136 | !!---------------------------------------------------------------------- |
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| 137 | ! |
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| 138 | IF( kt == nit000 ) CALL dyn_adv_ctl_tam! initialisation & control of options |
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| 139 | |
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| 140 | SELECT CASE ( nadv ) ! compute advection trend and add it to general trend |
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| 141 | CASE ( 0 ) |
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| 142 | CALL dyn_keg_tan ( kt ) ! vector form : horizontal gradient of kinetic energy |
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| 143 | CALL dyn_zad_tan ( kt ) ! vector form : vertical advection |
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| 144 | CASE ( 1 ) |
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| 145 | IF (lwp) WRITE(numout,*) 'dyn_adv_cen2_tan not available yet' |
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| 146 | CALL abort |
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| 147 | ! CALL dyn_adv_cen2_tan( kt ) ! 2nd order centered scheme |
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| 148 | CASE ( 2 ) |
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| 149 | IF (lwp) WRITE(numout,*) 'dyn_adv_ubs_tan not available yet' |
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| 150 | CALL abort |
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| 151 | ! CALL dyn_adv_ubs_tan ( kt ) ! 3rd order UBS scheme |
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| 152 | ! |
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| 153 | CASE (-1 ) ! esopa: test all possibility with control print |
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| 154 | CALL dyn_keg_tan ( kt ) |
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| 155 | CALL dyn_zad_tan ( kt ) |
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| 156 | ! CALL dyn_adv_cen2_tan( kt ) |
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| 157 | ! CALL dyn_adv_ubs_tan ( kt ) |
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| 158 | END SELECT |
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| 159 | ! |
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| 160 | END SUBROUTINE dyn_adv_tan |
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| 161 | |
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| 162 | SUBROUTINE dyn_adv_adj( kt ) |
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| 163 | !!--------------------------------------------------------------------- |
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| 164 | !! *** ROUTINE dyn_adv_adj *** |
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| 165 | !! |
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| 166 | !! ** Purpose of the direct routine: |
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| 167 | !! compute the ocean momentum advection trend. |
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| 168 | !! |
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| 169 | !! ** Method : - Update (ua,va) with the advection term following nadv |
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| 170 | !! NB: in flux form advection (ln_dynadv_cen2 or ln_dynadv_ubs=T) |
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| 171 | !! a metric term is add to the coriolis term while in vector form |
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| 172 | !! it is the relative vorticity which is added to coriolis term |
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| 173 | !! (see dynvor module). |
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| 174 | !!---------------------------------------------------------------------- |
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| 175 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 176 | !!---------------------------------------------------------------------- |
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| 177 | ! |
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| 178 | IF ( kt == nitend ) CALL dyn_adv_ctl_tam |
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| 179 | |
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| 180 | SELECT CASE ( nadv ) ! compute advection trend and add it to general trend |
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| 181 | CASE ( 0 ) |
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| 182 | CALL dyn_zad_adj ( kt ) ! vector form : vertical advection |
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| 183 | CALL dyn_keg_adj ( kt ) ! vector form : horizontal gradient of kinetic energy |
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| 184 | CASE ( 1 ) |
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| 185 | IF (lwp) WRITE(numout,*) 'dyn_adv_cen2_adj not available yet' |
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| 186 | CALL abort |
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| 187 | ! CALL dyn_adv_cen2_adj( kt ) ! 2nd order centered scheme |
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| 188 | CASE ( 2 ) |
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| 189 | IF (lwp) WRITE(numout,*) 'dyn_adv_ubs_adj not available yet' |
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| 190 | CALL abort |
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| 191 | ! CALL dyn_adv_ubs_adj ( kt ) ! 3rd order UBS scheme |
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| 192 | ! |
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| 193 | CASE (-1 ) ! esopa: test all possibility with control print |
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| 194 | ! CALL dyn_adv_ubs_adj ( kt ) |
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| 195 | ! CALL dyn_adv_cen2_adj( kt ) |
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| 196 | CALL dyn_zad_adj ( kt ) |
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| 197 | CALL dyn_keg_adj ( kt ) |
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| 198 | END SELECT |
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| 199 | ! |
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| 200 | END SUBROUTINE dyn_adv_adj |
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| 201 | |
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| 202 | SUBROUTINE dyn_adv_adj_tst( kumadt ) |
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| 203 | !!----------------------------------------------------------------------- |
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| 204 | !! |
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| 205 | !! *** ROUTINE dyn_adv_adj_tst *** |
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| 206 | !! |
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| 207 | !! ** Purpose : Test the adjoint routine. |
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| 208 | !! |
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| 209 | !! ** Method : Verify the scalar product |
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| 210 | !! |
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| 211 | !! ( L dx )^T W dy = dx^T L^T W dy |
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| 212 | !! |
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| 213 | !! where L = tangent routine |
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| 214 | !! L^T = adjoint routine |
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| 215 | !! W = diagonal matrix of scale factors |
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| 216 | !! dx = input perturbation (random field) |
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| 217 | !! dy = L dx |
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| 218 | !! |
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| 219 | !! |
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| 220 | !! History : |
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| 221 | !! ! 08-08 (A. Vidard) |
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| 222 | !!----------------------------------------------------------------------- |
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| 223 | !! * Modules used |
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| 224 | |
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| 225 | !! * Arguments |
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| 226 | INTEGER, INTENT(IN) :: & |
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| 227 | & kumadt ! Output unit |
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| 228 | |
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| 229 | !! * Local declarations |
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| 230 | INTEGER :: & |
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| 231 | & ji, & ! dummy loop indices |
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| 232 | & jj, & |
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| 233 | & jk |
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| 234 | INTEGER, DIMENSION(jpi,jpj) :: & |
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| 235 | & iseed_2d ! 2D seed for the random number generator |
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| 236 | |
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| 237 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
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| 238 | & zun_tlin, & ! Tangent input: now u-velocity |
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| 239 | & zvn_tlin, & ! Tangent input: now v-velocity |
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| 240 | & zwn_tlin, & ! Tangent input: now w-velocity |
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| 241 | & zua_tlin, & ! Tangent input: after u-velocity |
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| 242 | & zva_tlin, & ! Tangent input: after u-velocity |
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| 243 | & zua_tlout, & ! Tangent output:after u-velocity |
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| 244 | & zva_tlout, & ! Tangent output:after v-velocity |
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| 245 | & zua_adin, & ! adjoint input: after u-velocity |
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| 246 | & zva_adin, & ! adjoint input: after v-velocity |
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| 247 | & zun_adout, & ! adjoint output: now u-velocity |
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| 248 | & zvn_adout, & ! adjoint output: now v-velocity |
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| 249 | & zwn_adout, & ! adjoint output: now u-velocity |
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| 250 | & zua_adout, & ! adjoint output:after v-velocity |
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| 251 | & zva_adout, & ! adjoint output:after u-velocity |
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| 252 | & zuvw ! 3D random field for u, v and w |
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| 253 | |
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| 254 | REAL(KIND=wp) :: & |
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| 255 | & zsp1, & ! scalar product involving the tangent routine |
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| 256 | & zsp1_1, & ! scalar product components |
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| 257 | & zsp1_2, & |
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| 258 | & zsp2, & ! scalar product involving the adjoint routine |
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| 259 | & zsp2_1, & ! scalar product components |
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| 260 | & zsp2_2, & |
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| 261 | & zsp2_3, & |
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| 262 | & zsp2_4, & |
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| 263 | & zsp2_5 |
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| 264 | |
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| 265 | CHARACTER(LEN=14) :: cl_name |
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| 266 | |
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| 267 | |
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| 268 | ! Allocate memory |
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| 269 | |
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| 270 | ALLOCATE( & |
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| 271 | & zun_tlin(jpi,jpj,jpk), & |
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| 272 | & zvn_tlin(jpi,jpj,jpk), & |
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| 273 | & zwn_tlin(jpi,jpj,jpk), & |
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| 274 | & zua_tlin(jpi,jpj,jpk), & |
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| 275 | & zva_tlin(jpi,jpj,jpk), & |
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| 276 | & zua_tlout(jpi,jpj,jpk), & |
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| 277 | & zva_tlout(jpi,jpj,jpk), & |
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| 278 | & zua_adin(jpi,jpj,jpk), & |
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| 279 | & zva_adin(jpi,jpj,jpk), & |
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| 280 | & zun_adout(jpi,jpj,jpk), & |
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| 281 | & zvn_adout(jpi,jpj,jpk), & |
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| 282 | & zwn_adout(jpi,jpj,jpk), & |
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| 283 | & zua_adout(jpi,jpj,jpk), & |
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| 284 | & zva_adout(jpi,jpj,jpk), & |
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| 285 | & zuvw(jpi,jpj,jpk) & |
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| 286 | & ) |
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| 287 | |
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| 288 | |
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| 289 | !================================================================== |
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| 290 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
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| 291 | ! dy = ( hdivb_tl, hdivn_tl ) |
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| 292 | !================================================================== |
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| 293 | |
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| 294 | !-------------------------------------------------------------------- |
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| 295 | ! Reset the tangent and adjoint variables |
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| 296 | !-------------------------------------------------------------------- |
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| 297 | zun_tlin(:,:,:) = 0.0_wp |
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| 298 | zvn_tlin(:,:,:) = 0.0_wp |
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| 299 | zwn_tlin(:,:,:) = 0.0_wp |
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| 300 | zua_tlin(:,:,:) = 0.0_wp |
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| 301 | zva_tlin(:,:,:) = 0.0_wp |
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| 302 | zua_tlout(:,:,:) = 0.0_wp |
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| 303 | zva_tlout(:,:,:) = 0.0_wp |
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| 304 | zua_adin(:,:,:) = 0.0_wp |
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| 305 | zva_adin(:,:,:) = 0.0_wp |
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| 306 | zun_adout(:,:,:) = 0.0_wp |
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| 307 | zvn_adout(:,:,:) = 0.0_wp |
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| 308 | zwn_adout(:,:,:) = 0.0_wp |
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| 309 | zua_adout(:,:,:) = 0.0_wp |
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| 310 | zva_adout(:,:,:) = 0.0_wp |
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| 311 | zuvw(:,:,:) = 0.0_wp |
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| 312 | |
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| 313 | un_tl(:,:,:) = 0.0_wp |
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| 314 | vn_tl(:,:,:) = 0.0_wp |
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| 315 | wn_tl(:,:,:) = 0.0_wp |
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| 316 | ua_tl(:,:,:) = 0.0_wp |
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| 317 | va_tl(:,:,:) = 0.0_wp |
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| 318 | un_ad(:,:,:) = 0.0_wp |
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| 319 | vn_ad(:,:,:) = 0.0_wp |
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| 320 | wn_ad(:,:,:) = 0.0_wp |
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| 321 | ua_ad(:,:,:) = 0.0_wp |
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| 322 | va_ad(:,:,:) = 0.0_wp |
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| 323 | |
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| 324 | !recompute wn from un and vn |
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| 325 | CALL div_cur( nit000 ) |
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| 326 | CALL wzv( nit000 ) |
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| 327 | |
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| 328 | !-------------------------------------------------------------------- |
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| 329 | ! Initialize the tangent input with random noise: dx |
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| 330 | !-------------------------------------------------------------------- |
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| 331 | |
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| 332 | DO jj = 1, jpj |
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| 333 | DO ji = 1, jpi |
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| 334 | iseed_2d(ji,jj) = - ( 596035 + & |
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| 335 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
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| 336 | END DO |
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| 337 | END DO |
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| 338 | CALL grid_random( iseed_2d, zuvw, 'U', 0.0_wp, stdu ) |
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| 339 | DO jk = 1, jpk |
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| 340 | DO jj = nldj, nlej |
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| 341 | DO ji = nldi, nlei |
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| 342 | zun_tlin(ji,jj,jk) = zuvw(ji,jj,jk) |
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| 343 | END DO |
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| 344 | END DO |
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| 345 | END DO |
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| 346 | DO jj = 1, jpj |
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| 347 | DO ji = 1, jpi |
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| 348 | iseed_2d(ji,jj) = - ( 523432 + & |
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| 349 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
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| 350 | END DO |
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| 351 | END DO |
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| 352 | CALL grid_random( iseed_2d, zuvw, 'V', 0.0_wp, stdv ) |
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| 353 | DO jk = 1, jpk |
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| 354 | DO jj = nldj, nlej |
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| 355 | DO ji = nldi, nlei |
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| 356 | zvn_tlin(ji,jj,jk) = zuvw(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 | DO jj = 1, jpj |
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| 362 | DO ji = 1, jpi |
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| 363 | iseed_2d(ji,jj) = - ( 456953 + & |
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| 364 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
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| 365 | END DO |
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| 366 | END DO |
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| 367 | CALL grid_random( iseed_2d, zuvw, 'W', 0.0_wp, stdw ) |
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| 368 | DO jk = 1, jpk |
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| 369 | DO jj = nldj, nlej |
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| 370 | DO ji = nldi, nlei |
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| 371 | zwn_tlin(ji,jj,jk) = zuvw(ji,jj,jk) |
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| 372 | END DO |
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| 373 | END DO |
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| 374 | END DO |
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| 375 | |
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| 376 | DO jj = 1, jpj |
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| 377 | DO ji = 1, jpi |
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| 378 | iseed_2d(ji,jj) = - ( 432545 + & |
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| 379 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
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| 380 | END DO |
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| 381 | END DO |
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| 382 | CALL grid_random( iseed_2d, zuvw, 'U', 0.0_wp, stdu ) |
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| 383 | DO jk = 1, jpk |
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| 384 | DO jj = nldj, nlej |
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| 385 | DO ji = nldi, nlei |
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| 386 | zua_tlin(ji,jj,jk) = zuvw(ji,jj,jk) |
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| 387 | END DO |
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| 388 | END DO |
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| 389 | END DO |
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| 390 | |
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| 391 | DO jj = 1, jpj |
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| 392 | DO ji = 1, jpi |
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| 393 | iseed_2d(ji,jj) = - ( 287503 + & |
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| 394 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
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| 395 | END DO |
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| 396 | END DO |
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| 397 | CALL grid_random( iseed_2d, zuvw, 'V', 0.0_wp, stdv ) |
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| 398 | DO jk = 1, jpk |
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| 399 | DO jj = nldj, nlej |
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| 400 | DO ji = nldi, nlei |
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| 401 | zva_tlin(ji,jj,jk) = zuvw(ji,jj,jk) |
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| 402 | END DO |
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| 403 | END DO |
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| 404 | END DO |
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| 405 | |
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| 406 | un_tl(:,:,:) = zun_tlin(:,:,:) |
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| 407 | vn_tl(:,:,:) = zvn_tlin(:,:,:) |
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| 408 | !recompute wn_tl from un_tl and vn_tl |
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| 409 | CALL div_cur_tan( nit000 ) |
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| 410 | CALL wzv_tan( nit000 ) |
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| 411 | DO jk = 1, jpk |
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| 412 | DO jj = nldj, nlej |
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| 413 | DO ji = nldi, nlei |
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| 414 | zwn_tlin(ji,jj,jk) = wn_tl(ji,jj,jk) |
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| 415 | END DO |
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| 416 | END DO |
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| 417 | END DO |
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| 418 | wn_tl(:,:,:) = zwn_tlin(:,:,:) |
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| 419 | ua_tl(:,:,:) = zua_tlin(:,:,:) |
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| 420 | va_tl(:,:,:) = zva_tlin(:,:,:) |
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| 421 | |
|---|
| 422 | CALL dyn_adv_tan ( nit000 ) |
|---|
| 423 | zua_tlout(:,:,:) = ua_tl(:,:,:) |
|---|
| 424 | zva_tlout(:,:,:) = va_tl(:,:,:) |
|---|
| 425 | |
|---|
| 426 | !-------------------------------------------------------------------- |
|---|
| 427 | ! Initialize the adjoint variables: dy^* = W dy |
|---|
| 428 | !-------------------------------------------------------------------- |
|---|
| 429 | |
|---|
| 430 | DO jk = 1, jpk |
|---|
| 431 | DO jj = nldj, nlej |
|---|
| 432 | DO ji = nldi, nlei |
|---|
| 433 | zua_adin(ji,jj,jk) = zua_tlout(ji,jj,jk) & |
|---|
| 434 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) & |
|---|
| 435 | & * umask(ji,jj,jk) |
|---|
| 436 | zva_adin(ji,jj,jk) = zva_tlout(ji,jj,jk) & |
|---|
| 437 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) & |
|---|
| 438 | & * vmask(ji,jj,jk) |
|---|
| 439 | END DO |
|---|
| 440 | END DO |
|---|
| 441 | END DO |
|---|
| 442 | !-------------------------------------------------------------------- |
|---|
| 443 | ! Compute the scalar product: ( L dx )^T W dy |
|---|
| 444 | !-------------------------------------------------------------------- |
|---|
| 445 | |
|---|
| 446 | zsp1_1 = DOT_PRODUCT( zua_tlout, zua_adin ) |
|---|
| 447 | zsp1_2 = DOT_PRODUCT( zva_tlout, zva_adin ) |
|---|
| 448 | zsp1 = zsp1_1 + zsp1_2 |
|---|
| 449 | |
|---|
| 450 | !-------------------------------------------------------------------- |
|---|
| 451 | ! Call the adjoint routine: dx^* = L^T dy^* |
|---|
| 452 | !-------------------------------------------------------------------- |
|---|
| 453 | |
|---|
| 454 | ua_ad(:,:,:) = zua_adin(:,:,:) |
|---|
| 455 | va_ad(:,:,:) = zva_adin(:,:,:) |
|---|
| 456 | |
|---|
| 457 | CALL dyn_adv_adj ( nit000 ) |
|---|
| 458 | |
|---|
| 459 | zun_adout(:,:,:) = un_ad(:,:,:) |
|---|
| 460 | zvn_adout(:,:,:) = vn_ad(:,:,:) |
|---|
| 461 | zwn_adout(:,:,:) = wn_ad(:,:,:) |
|---|
| 462 | zua_adout(:,:,:) = ua_ad(:,:,:) |
|---|
| 463 | zva_adout(:,:,:) = va_ad(:,:,:) |
|---|
| 464 | |
|---|
| 465 | zsp2_1 = DOT_PRODUCT( zun_tlin, zun_adout ) |
|---|
| 466 | zsp2_2 = DOT_PRODUCT( zvn_tlin, zvn_adout ) |
|---|
| 467 | zsp2_3 = DOT_PRODUCT( zwn_tlin, zwn_adout ) |
|---|
| 468 | zsp2_4 = DOT_PRODUCT( zua_tlin, zua_adout ) |
|---|
| 469 | zsp2_5 = DOT_PRODUCT( zva_tlin, zva_adout ) |
|---|
| 470 | zsp2 = zsp2_1 + zsp2_2 + zsp2_3 + zsp2_4 + zsp2_5 |
|---|
| 471 | |
|---|
| 472 | ! Compare the scalar products |
|---|
| 473 | |
|---|
| 474 | cl_name = 'dyn_adv_adj ' |
|---|
| 475 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
|---|
| 476 | |
|---|
| 477 | DEALLOCATE( & |
|---|
| 478 | & zun_tlin, & |
|---|
| 479 | & zvn_tlin, & |
|---|
| 480 | & zwn_tlin, & |
|---|
| 481 | & zua_tlin, & |
|---|
| 482 | & zva_tlin, & |
|---|
| 483 | & zua_tlout, & |
|---|
| 484 | & zva_tlout, & |
|---|
| 485 | & zua_adin, & |
|---|
| 486 | & zva_adin, & |
|---|
| 487 | & zun_adout, & |
|---|
| 488 | & zvn_adout, & |
|---|
| 489 | & zwn_adout, & |
|---|
| 490 | & zua_adout, & |
|---|
| 491 | & zva_adout, & |
|---|
| 492 | & zuvw & |
|---|
| 493 | & ) |
|---|
| 494 | |
|---|
| 495 | END SUBROUTINE dyn_adv_adj_tst |
|---|
| 496 | !!====================================================================== |
|---|
| 497 | SUBROUTINE dyn_adv_ctl_tam |
|---|
| 498 | !!--------------------------------------------------------------------- |
|---|
| 499 | !! *** ROUTINE dyn_adv_ctl *** |
|---|
| 500 | !! |
|---|
| 501 | !! ** Purpose : Control the consistency between namelist options for |
|---|
| 502 | !! momentum advection formulation & scheme and set nadv |
|---|
| 503 | !!---------------------------------------------------------------------- |
|---|
| 504 | INTEGER :: ioptio |
|---|
| 505 | |
|---|
| 506 | NAMELIST/nam_dynadv/ ln_dynadv_vec, ln_dynadv_cen2 , ln_dynadv_ubs |
|---|
| 507 | !!---------------------------------------------------------------------- |
|---|
| 508 | |
|---|
| 509 | IF (lfirst) THEN |
|---|
| 510 | |
|---|
| 511 | REWIND ( numnam ) ! Read Namelist nam_dynadv : momentum advection scheme |
|---|
| 512 | READ ( numnam, nam_dynadv ) |
|---|
| 513 | |
|---|
| 514 | IF(lwp) THEN ! Namelist print |
|---|
| 515 | WRITE(numout,*) |
|---|
| 516 | WRITE(numout,*) 'dyn_adv_ctl : choice/control of the momentum advection scheme' |
|---|
| 517 | WRITE(numout,*) '~~~~~~~~~~~' |
|---|
| 518 | WRITE(numout,*) ' Namelist nam_dynadv : chose a advection formulation & scheme for momentum' |
|---|
| 519 | WRITE(numout,*) ' Vector/flux form (T/F) ln_dynadv_vec = ', ln_dynadv_vec |
|---|
| 520 | WRITE(numout,*) ' 2nd order centred advection scheme ln_dynadv_cen2 = ', ln_dynadv_cen2 |
|---|
| 521 | WRITE(numout,*) ' 3rd order UBS advection scheme ln_dynadv_ubs = ', ln_dynadv_ubs |
|---|
| 522 | ENDIF |
|---|
| 523 | |
|---|
| 524 | ioptio = 0 ! Parameter control |
|---|
| 525 | IF( ln_dynadv_vec ) ioptio = ioptio + 1 |
|---|
| 526 | IF( ln_dynadv_cen2 ) ioptio = ioptio + 1 |
|---|
| 527 | IF( ln_dynadv_ubs ) ioptio = ioptio + 1 |
|---|
| 528 | IF( lk_esopa ) ioptio = 1 |
|---|
| 529 | |
|---|
| 530 | IF( ioptio /= 1 ) CALL ctl_stop( 'Choose ONE advection scheme in namelist nam_dynadv' ) |
|---|
| 531 | |
|---|
| 532 | ! ! Set nadv |
|---|
| 533 | IF( ln_dynadv_vec ) nadv = 0 |
|---|
| 534 | IF( ln_dynadv_cen2 ) nadv = 1 |
|---|
| 535 | IF( ln_dynadv_ubs ) nadv = 2 |
|---|
| 536 | IF( lk_esopa ) nadv = -1 |
|---|
| 537 | |
|---|
| 538 | IF(lwp) THEN ! Print the choice |
|---|
| 539 | WRITE(numout,*) |
|---|
| 540 | IF( nadv == 0 ) WRITE(numout,*) ' vector form : keg + zad + vor is used' |
|---|
| 541 | IF( nadv == 1 ) WRITE(numout,*) ' flux form : 2nd order scheme is used' |
|---|
| 542 | IF( nadv == 2 ) WRITE(numout,*) ' flux form : UBS scheme is used' |
|---|
| 543 | IF( nadv == -1 ) WRITE(numout,*) ' esopa test: use all advection formulation' |
|---|
| 544 | ENDIF |
|---|
| 545 | ! |
|---|
| 546 | lfirst = .FALSE. |
|---|
| 547 | END IF |
|---|
| 548 | END SUBROUTINE dyn_adv_ctl_tam |
|---|
| 549 | #if defined key_tst_tlm |
|---|
| 550 | SUBROUTINE dyn_adv_tlm_tst( kumadt ) |
|---|
| 551 | !!----------------------------------------------------------------------- |
|---|
| 552 | !! |
|---|
| 553 | !! *** ROUTINE dyn_adv_tlm_tst *** |
|---|
| 554 | !! |
|---|
| 555 | !! ** Purpose : Test the adjoint routine. |
|---|
| 556 | !! |
|---|
| 557 | !! ** Method : Verify the tangent with Taylor expansion |
|---|
| 558 | !! |
|---|
| 559 | !! M(x+hdx) = M(x) + L(hdx) + O(h^2) |
|---|
| 560 | !! |
|---|
| 561 | !! where L = tangent routine |
|---|
| 562 | !! M = direct routine |
|---|
| 563 | !! dx = input perturbation (random field) |
|---|
| 564 | !! h = ration on perturbation |
|---|
| 565 | !! |
|---|
| 566 | !! In the tangent test we verify that: |
|---|
| 567 | !! M(x+h*dx) - M(x) |
|---|
| 568 | !! g(h) = ------------------ ---> 1 as h ---> 0 |
|---|
| 569 | !! L(h*dx) |
|---|
| 570 | !! and |
|---|
| 571 | !! g(h) - 1 |
|---|
| 572 | !! f(h) = ---------- ---> k (costant) as h ---> 0 |
|---|
| 573 | !! p |
|---|
| 574 | !! |
|---|
| 575 | !! History : |
|---|
| 576 | !! ! 09-08 (A. Vigilant) |
|---|
| 577 | !!----------------------------------------------------------------------- |
|---|
| 578 | !! * Modules used |
|---|
| 579 | USE dynadv |
|---|
| 580 | USE tamtrj ! writing out state trajectory |
|---|
| 581 | USE par_tlm, ONLY: & |
|---|
| 582 | & tlm_bch, & |
|---|
| 583 | & cur_loop, & |
|---|
| 584 | & h_ratio |
|---|
| 585 | USE istate_mod |
|---|
| 586 | USE divcur ! horizontal divergence and relative vorticity |
|---|
| 587 | USE wzvmod ! vertical velocity |
|---|
| 588 | USE gridrandom, ONLY: & |
|---|
| 589 | & grid_rd_sd |
|---|
| 590 | USE trj_tam |
|---|
| 591 | USE oce , ONLY: & ! ocean dynamics and tracers variables |
|---|
| 592 | & ua, va |
|---|
| 593 | USE opatam_tst_ini, ONLY: & |
|---|
| 594 | & tlm_namrd |
|---|
| 595 | USE tamctl, ONLY: & ! Control parameters |
|---|
| 596 | & numtan, numtan_sc |
|---|
| 597 | !! * Arguments |
|---|
| 598 | INTEGER, INTENT(IN) :: & |
|---|
| 599 | & kumadt ! Output unit |
|---|
| 600 | |
|---|
| 601 | !! * Local declarations |
|---|
| 602 | INTEGER :: & |
|---|
| 603 | & ji, & ! dummy loop indices |
|---|
| 604 | & jj, & |
|---|
| 605 | & jk |
|---|
| 606 | |
|---|
| 607 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
|---|
| 608 | & zun_tlin, & ! Tangent input: now u-velocity |
|---|
| 609 | & zvn_tlin, & ! Tangent input: now v-velocity |
|---|
| 610 | & zwn_tlin, & ! Tangent input: now w-velocity |
|---|
| 611 | & zua_tlin, & ! Tangent input: after u-velocity |
|---|
| 612 | & zva_tlin, & ! Tangent input: after u-velocity |
|---|
| 613 | & zua_out, & ! Tangent output:after u-velocity |
|---|
| 614 | & zva_out, & ! Tangent output:after v-velocity |
|---|
| 615 | & zua_wop, & ! Tangent output:after u-velocity |
|---|
| 616 | & zva_wop, & ! Tangent output:after v-velocity |
|---|
| 617 | & z3r ! 3D field |
|---|
| 618 | |
|---|
| 619 | REAL(KIND=wp) :: & |
|---|
| 620 | & zsp1, & ! scalar product |
|---|
| 621 | & zsp1_1, & ! scalar product |
|---|
| 622 | & zsp1_2, & |
|---|
| 623 | & zsp2, & ! scalar product |
|---|
| 624 | & zsp2_1, & ! scalar product |
|---|
| 625 | & zsp2_2, & |
|---|
| 626 | & zsp3, & ! scalar product |
|---|
| 627 | & zsp3_1, & ! scalar product |
|---|
| 628 | & zsp3_2, & |
|---|
| 629 | & zsp2_3, & |
|---|
| 630 | & zsp2_4, & |
|---|
| 631 | & zzsp, & |
|---|
| 632 | & zzsp_1, & |
|---|
| 633 | & zzsp_2, & |
|---|
| 634 | & gamma, & |
|---|
| 635 | & zgsp1, & |
|---|
| 636 | & zgsp2, & |
|---|
| 637 | & zgsp3, & |
|---|
| 638 | & zgsp4, & |
|---|
| 639 | & zgsp5, & |
|---|
| 640 | & zgsp6, & |
|---|
| 641 | & zgsp7 |
|---|
| 642 | |
|---|
| 643 | CHARACTER(LEN=14) :: cl_name |
|---|
| 644 | CHARACTER (LEN=128) :: file_out, file_wop, file_xdx |
|---|
| 645 | CHARACTER (LEN=90) :: FMT |
|---|
| 646 | REAL(KIND=wp), DIMENSION(100):: & |
|---|
| 647 | & zscua, zscva, & |
|---|
| 648 | & zscerrua, & |
|---|
| 649 | & zscerrva |
|---|
| 650 | INTEGER, DIMENSION(100):: & |
|---|
| 651 | & iiposua, iiposva, & |
|---|
| 652 | & ijposua, ijposva, & |
|---|
| 653 | & ikposua, ikposva |
|---|
| 654 | INTEGER:: & |
|---|
| 655 | & ii, & |
|---|
| 656 | & isamp=40, & |
|---|
| 657 | & jsamp=40, & |
|---|
| 658 | & ksamp=10, & |
|---|
| 659 | & numsctlm |
|---|
| 660 | REAL(KIND=wp), DIMENSION(jpi,jpj,jpk) :: & |
|---|
| 661 | & zerrua, zerrva |
|---|
| 662 | ! Allocate memory |
|---|
| 663 | |
|---|
| 664 | ALLOCATE( & |
|---|
| 665 | & zun_tlin(jpi,jpj,jpk), & |
|---|
| 666 | & zvn_tlin(jpi,jpj,jpk), & |
|---|
| 667 | & zwn_tlin(jpi,jpj,jpk), & |
|---|
| 668 | & zua_tlin(jpi,jpj,jpk), & |
|---|
| 669 | & zva_tlin(jpi,jpj,jpk), & |
|---|
| 670 | & zua_out(jpi,jpj,jpk), & |
|---|
| 671 | & zva_out(jpi,jpj,jpk), & |
|---|
| 672 | & zua_wop(jpi,jpj,jpk), & |
|---|
| 673 | & zva_wop(jpi,jpj,jpk), & |
|---|
| 674 | & z3r (jpi,jpj,jpk) & |
|---|
| 675 | & ) |
|---|
| 676 | |
|---|
| 677 | !-------------------------------------------------------------------- |
|---|
| 678 | ! Reset variables |
|---|
| 679 | !-------------------------------------------------------------------- |
|---|
| 680 | zun_tlin( :,:,:) = 0.0_wp |
|---|
| 681 | zvn_tlin( :,:,:) = 0.0_wp |
|---|
| 682 | zwn_tlin( :,:,:) = 0.0_wp |
|---|
| 683 | zua_tlin( :,:,:) = 0.0_wp |
|---|
| 684 | zva_tlin( :,:,:) = 0.0_wp |
|---|
| 685 | zua_out ( :,:,:) = 0.0_wp |
|---|
| 686 | zva_out ( :,:,:) = 0.0_wp |
|---|
| 687 | zua_wop ( :,:,:) = 0.0_wp |
|---|
| 688 | zva_wop ( :,:,:) = 0.0_wp |
|---|
| 689 | |
|---|
| 690 | zscua(:) = 0.0_wp |
|---|
| 691 | zscva(:) = 0.0_wp |
|---|
| 692 | zscerrua(:) = 0.0_wp |
|---|
| 693 | zscerrva(:) = 0.0_wp |
|---|
| 694 | zerrua(:,:,:) = 0.0_wp |
|---|
| 695 | zerrva(:,:,:) = 0.0_wp |
|---|
| 696 | !-------------------------------------------------------------------- |
|---|
| 697 | ! Output filename Xn=F(X0) |
|---|
| 698 | !-------------------------------------------------------------------- |
|---|
| 699 | CALL tlm_namrd |
|---|
| 700 | gamma = h_ratio |
|---|
| 701 | file_wop='trj_wop_dynadv' |
|---|
| 702 | file_xdx='trj_xdx_dynadv' |
|---|
| 703 | !-------------------------------------------------------------------- |
|---|
| 704 | ! Initialize the tangent input with random noise: dx |
|---|
| 705 | !-------------------------------------------------------------------- |
|---|
| 706 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
|---|
| 707 | CALL grid_rd_sd( 596035, z3r, 'U', 0.0_wp, stdu) |
|---|
| 708 | DO jk = 1, jpk |
|---|
| 709 | DO jj = nldj, nlej |
|---|
| 710 | DO ji = nldi, nlei |
|---|
| 711 | zun_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
|---|
| 712 | END DO |
|---|
| 713 | END DO |
|---|
| 714 | END DO |
|---|
| 715 | CALL grid_rd_sd( 523432, z3r, 'V', 0.0_wp, stdv) |
|---|
| 716 | DO jk = 1, jpk |
|---|
| 717 | DO jj = nldj, nlej |
|---|
| 718 | DO ji = nldi, nlei |
|---|
| 719 | zvn_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
|---|
| 720 | END DO |
|---|
| 721 | END DO |
|---|
| 722 | END DO |
|---|
| 723 | CALL grid_rd_sd( 432545, z3r, 'U', 0.0_wp, stdu) |
|---|
| 724 | DO jk = 1, jpk |
|---|
| 725 | DO jj = nldj, nlej |
|---|
| 726 | DO ji = nldi, nlei |
|---|
| 727 | zua_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
|---|
| 728 | END DO |
|---|
| 729 | END DO |
|---|
| 730 | END DO |
|---|
| 731 | CALL grid_rd_sd( 287503, z3r, 'V', 0.0_wp, stdv) |
|---|
| 732 | DO jk = 1, jpk |
|---|
| 733 | DO jj = nldj, nlej |
|---|
| 734 | DO ji = nldi, nlei |
|---|
| 735 | zva_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
|---|
| 736 | END DO |
|---|
| 737 | END DO |
|---|
| 738 | END DO |
|---|
| 739 | ENDIF |
|---|
| 740 | !-------------------------------------------------------------------- |
|---|
| 741 | ! Complete Init for Direct |
|---|
| 742 | !------------------------------------------------------------------- |
|---|
| 743 | IF ( tlm_bch /= 2 ) CALL istate_p |
|---|
| 744 | |
|---|
| 745 | ! *** initialize the reference trajectory |
|---|
| 746 | ! ------------ |
|---|
| 747 | CALL trj_rea( nit000-1, 1 ) |
|---|
| 748 | CALL trj_rea( nit000, 1 ) |
|---|
| 749 | ua(:,:,:) = un(:,:,:) |
|---|
| 750 | va(:,:,:) = vn(:,:,:) |
|---|
| 751 | |
|---|
| 752 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
|---|
| 753 | zun_tlin(:,:,:) = gamma * zun_tlin(:,:,:) |
|---|
| 754 | un(:,:,:) = un(:,:,:) + zun_tlin(:,:,:) |
|---|
| 755 | |
|---|
| 756 | zvn_tlin(:,:,:) = gamma * zvn_tlin(:,:,:) |
|---|
| 757 | vn(:,:,:) = vn(:,:,:) + zvn_tlin(:,:,:) |
|---|
| 758 | |
|---|
| 759 | zua_tlin(:,:,:) = gamma * zua_tlin(:,:,:) |
|---|
| 760 | ua(:,:,:) = ua(:,:,:) + zua_tlin(:,:,:) |
|---|
| 761 | |
|---|
| 762 | zva_tlin(:,:,:) = gamma * zva_tlin(:,:,:) |
|---|
| 763 | va(:,:,:) = va(:,:,:) + zva_tlin(:,:,:) |
|---|
| 764 | !recompute wn from un and vn |
|---|
| 765 | CALL div_cur( nit000) |
|---|
| 766 | CALL wzv( nit000) |
|---|
| 767 | ENDIF |
|---|
| 768 | !-------------------------------------------------------------------- |
|---|
| 769 | ! Compute the direct model F(X0,t=n) = Xn |
|---|
| 770 | !-------------------------------------------------------------------- |
|---|
| 771 | IF ( tlm_bch /= 2 ) CALL dyn_adv(nit000) |
|---|
| 772 | IF ( tlm_bch == 0 ) CALL trj_wri_spl(file_wop) |
|---|
| 773 | IF ( tlm_bch == 1 ) CALL trj_wri_spl(file_xdx) |
|---|
| 774 | !-------------------------------------------------------------------- |
|---|
| 775 | ! Compute the Tangent |
|---|
| 776 | !-------------------------------------------------------------------- |
|---|
| 777 | IF ( tlm_bch == 2 ) THEN |
|---|
| 778 | !-------------------------------------------------------------------- |
|---|
| 779 | ! Initialize the tangent variables |
|---|
| 780 | !-------------------------------------------------------------------- |
|---|
| 781 | CALL trj_rea( nit000-1, 1 ) |
|---|
| 782 | CALL trj_rea( nit000, 1 ) |
|---|
| 783 | ua(:,:,:) = un(:,:,:) |
|---|
| 784 | va(:,:,:) = vn(:,:,:) |
|---|
| 785 | un_tl (:,:,:) = zun_tlin (:,:,:) |
|---|
| 786 | vn_tl (:,:,:) = zvn_tlin (:,:,:) |
|---|
| 787 | !recompute wn_tl from un_tl and vn_tl |
|---|
| 788 | CALL div_cur_tan( nit000 ) |
|---|
| 789 | CALL wzv_tan( nit000 ) |
|---|
| 790 | ua_tl (:,:,:) = zua_tlin (:,:,:) |
|---|
| 791 | va_tl (:,:,:) = zva_tlin (:,:,:) |
|---|
| 792 | |
|---|
| 793 | CALL dyn_adv_tan(nit000) |
|---|
| 794 | |
|---|
| 795 | !-------------------------------------------------------------------- |
|---|
| 796 | ! Compute the scalar product: ( L(t0,tn) gamma dx0 ) ) |
|---|
| 797 | !-------------------------------------------------------------------- |
|---|
| 798 | |
|---|
| 799 | zsp2_1 = DOT_PRODUCT( ua_tl, ua_tl ) |
|---|
| 800 | zsp2_2 = DOT_PRODUCT( va_tl, va_tl ) |
|---|
| 801 | |
|---|
| 802 | zsp2 = zsp2_1 + zsp2_2 |
|---|
| 803 | !-------------------------------------------------------------------- |
|---|
| 804 | ! Storing data |
|---|
| 805 | !-------------------------------------------------------------------- |
|---|
| 806 | CALL trj_rd_spl(file_wop) |
|---|
| 807 | zua_wop (:,:,:) = ua (:,:,:) |
|---|
| 808 | zva_wop (:,:,:) = va (:,:,:) |
|---|
| 809 | CALL trj_rd_spl(file_xdx) |
|---|
| 810 | zua_out (:,:,:) = ua (:,:,:) |
|---|
| 811 | zva_out (:,:,:) = va (:,:,:) |
|---|
| 812 | !-------------------------------------------------------------------- |
|---|
| 813 | ! Compute the Linearization Error |
|---|
| 814 | ! Nn = M( X0+gamma.dX0, t0,tn) - M(X0, t0,tn) |
|---|
| 815 | ! and |
|---|
| 816 | ! Compute the Linearization Error |
|---|
| 817 | ! En = Nn -TL(gamma.dX0, t0,tn) |
|---|
| 818 | !-------------------------------------------------------------------- |
|---|
| 819 | ! Warning: Here we re-use local variables z()_out and z()_wop |
|---|
| 820 | ii=0 |
|---|
| 821 | DO jk = 1, jpk |
|---|
| 822 | DO jj = 1, jpj |
|---|
| 823 | DO ji = 1, jpi |
|---|
| 824 | zua_out (ji,jj,jk) = zua_out (ji,jj,jk) - zua_wop (ji,jj,jk) |
|---|
| 825 | zua_wop (ji,jj,jk) = zua_out (ji,jj,jk) - ua_tl (ji,jj,jk) |
|---|
| 826 | IF ( ua_tl(ji,jj,jk) .NE. 0.0_wp ) & |
|---|
| 827 | & zerrua(ji,jj,jk) = zua_out(ji,jj,jk)/ua_tl(ji,jj,jk) |
|---|
| 828 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
|---|
| 829 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
|---|
| 830 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
|---|
| 831 | ii = ii+1 |
|---|
| 832 | iiposua(ii) = ji |
|---|
| 833 | ijposua(ii) = jj |
|---|
| 834 | ikposua(ii) = jk |
|---|
| 835 | IF ( INT(umask(ji,jj,jk)) .NE. 0) THEN |
|---|
| 836 | zscua (ii) = zua_wop(ji,jj,jk) |
|---|
| 837 | zscerrua (ii) = ( zerrua(ji,jj,jk) - 1.0_wp ) / gamma |
|---|
| 838 | ENDIF |
|---|
| 839 | ENDIF |
|---|
| 840 | END DO |
|---|
| 841 | END DO |
|---|
| 842 | END DO |
|---|
| 843 | ii=0 |
|---|
| 844 | DO jk = 1, jpk |
|---|
| 845 | DO jj = 1, jpj |
|---|
| 846 | DO ji = 1, jpi |
|---|
| 847 | zva_out (ji,jj,jk) = zva_out (ji,jj,jk) - zva_wop (ji,jj,jk) |
|---|
| 848 | zva_wop (ji,jj,jk) = zva_out (ji,jj,jk) - va_tl (ji,jj,jk) |
|---|
| 849 | IF ( va_tl(ji,jj,jk) .NE. 0.0_wp ) & |
|---|
| 850 | & zerrva(ji,jj,jk) = zva_out(ji,jj,jk)/va_tl(ji,jj,jk) |
|---|
| 851 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
|---|
| 852 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
|---|
| 853 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
|---|
| 854 | ii = ii+1 |
|---|
| 855 | iiposva(ii) = ji |
|---|
| 856 | ijposva(ii) = jj |
|---|
| 857 | ikposva(ii) = jk |
|---|
| 858 | IF ( INT(vmask(ji,jj,jk)) .NE. 0) THEN |
|---|
| 859 | zscva (ii) = zua_wop(ji,jj,jk) |
|---|
| 860 | zscerrva (ii) = ( zerrva(ji,jj,jk) - 1.0_wp ) / gamma |
|---|
| 861 | ENDIF |
|---|
| 862 | ENDIF |
|---|
| 863 | END DO |
|---|
| 864 | END DO |
|---|
| 865 | END DO |
|---|
| 866 | |
|---|
| 867 | zsp1_1 = DOT_PRODUCT( zua_out, zua_out ) |
|---|
| 868 | zsp1_2 = DOT_PRODUCT( zva_out, zva_out ) |
|---|
| 869 | zsp1 = zsp1_1 + zsp1_2 |
|---|
| 870 | |
|---|
| 871 | zsp3_1 = DOT_PRODUCT( zua_wop, zua_wop ) |
|---|
| 872 | zsp3_2 = DOT_PRODUCT( zva_wop, zva_wop ) |
|---|
| 873 | zsp3 = zsp3_1 + zsp3_2 |
|---|
| 874 | !-------------------------------------------------------------------- |
|---|
| 875 | ! Print the linearization error En - norme 2 |
|---|
| 876 | !-------------------------------------------------------------------- |
|---|
| 877 | ! 14 char:'12345678901234' |
|---|
| 878 | cl_name = 'dynadv_tam:En ' |
|---|
| 879 | zzsp = SQRT(zsp3) |
|---|
| 880 | zzsp_1 = SQRT(zsp3_1) |
|---|
| 881 | zzsp_2 = SQRT(zsp3_2) |
|---|
| 882 | zgsp5 = zzsp |
|---|
| 883 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
|---|
| 884 | !-------------------------------------------------------------------- |
|---|
| 885 | ! Compute TLM norm2 |
|---|
| 886 | !-------------------------------------------------------------------- |
|---|
| 887 | zzsp = SQRT(zsp2) |
|---|
| 888 | zzsp_1 = SQRT(zsp2_1) |
|---|
| 889 | zzsp_2 = SQRT(zsp2_2) |
|---|
| 890 | zgsp4 = zzsp |
|---|
| 891 | cl_name = 'dynadv_tam:Ln2' |
|---|
| 892 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
|---|
| 893 | !-------------------------------------------------------------------- |
|---|
| 894 | ! Print the linearization error Nn - norme 2 |
|---|
| 895 | !-------------------------------------------------------------------- |
|---|
| 896 | zzsp = SQRT(zsp1) |
|---|
| 897 | zzsp_1 = SQRT(zsp1_1) |
|---|
| 898 | zzsp_2 = SQRT(zsp1_2) |
|---|
| 899 | cl_name = 'dynadv:Mhdx-Mx' |
|---|
| 900 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
|---|
| 901 | zgsp3 = SQRT( zsp3/zsp2 ) |
|---|
| 902 | zgsp7 = zgsp3/gamma |
|---|
| 903 | zgsp1 = zzsp |
|---|
| 904 | zgsp2 = zgsp1 / zgsp4 |
|---|
| 905 | zgsp6 = (zgsp2 - 1.0_wp)/gamma |
|---|
| 906 | |
|---|
| 907 | FMT = "(A8,2X,I4.4,2X,E6.1,2X,E20.13,2X,E20.13,2X,E20.13,2X,E20.13,2X,E20.13,2X,E20.13,2X,E20.13)" |
|---|
| 908 | WRITE(numtan,FMT) 'dynadv ', cur_loop, h_ratio, zgsp1, zgsp2, zgsp3, zgsp4, zgsp5, zgsp6, zgsp7 |
|---|
| 909 | !-------------------------------------------------------------------- |
|---|
| 910 | ! Unitary calculus |
|---|
| 911 | !-------------------------------------------------------------------- |
|---|
| 912 | FMT = "(A8,2X,A8,2X,I4.4,2X,E6.1,2X,I4.4,2X,I4.4,2X,I4.4,2X,E20.13,1X)" |
|---|
| 913 | cl_name = 'dynadv ' |
|---|
| 914 | IF (lwp) THEN |
|---|
| 915 | DO ii=1, 100, 1 |
|---|
| 916 | IF ( zscua(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscua ', & |
|---|
| 917 | & cur_loop, h_ratio, ii, iiposua(ii), ijposua(ii), zscua(ii) |
|---|
| 918 | ENDDO |
|---|
| 919 | DO ii=1, 100, 1 |
|---|
| 920 | IF ( zscva(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscva ', & |
|---|
| 921 | & cur_loop, h_ratio, ii, iiposva(ii), ijposva(ii), zscva(ii) |
|---|
| 922 | ENDDO |
|---|
| 923 | DO ii=1, 100, 1 |
|---|
| 924 | IF ( zscerrua(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrua ', & |
|---|
| 925 | & cur_loop, h_ratio, ii, iiposua(ii), ijposua(ii), zscerrua(ii) |
|---|
| 926 | ENDDO |
|---|
| 927 | DO ii=1, 100, 1 |
|---|
| 928 | IF ( zscerrva(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrva ', & |
|---|
| 929 | & cur_loop, h_ratio, ii, iiposva(ii), ijposva(ii), zscerrva(ii) |
|---|
| 930 | ENDDO |
|---|
| 931 | ! write separator |
|---|
| 932 | WRITE(numtan_sc,"(A4)") '====' |
|---|
| 933 | ENDIF |
|---|
| 934 | ENDIF |
|---|
| 935 | DEALLOCATE( & |
|---|
| 936 | & zun_tlin, zvn_tlin, zwn_tlin, & |
|---|
| 937 | & zua_tlin, zva_tlin, & |
|---|
| 938 | & zua_out, zva_out, & |
|---|
| 939 | & zua_wop, zva_wop, & |
|---|
| 940 | & z3r & |
|---|
| 941 | & ) |
|---|
| 942 | END SUBROUTINE dyn_adv_tlm_tst |
|---|
| 943 | #endif |
|---|
| 944 | #endif |
|---|
| 945 | END MODULE dynadv_tam |
|---|
