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