| 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 | |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! dyn_nxt_tan : update the horizontal velocity from the momentum trend |
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| 11 | !! dyn_nxt_adj : update the horizontal velocity from the momentum trend |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | !! * Modules used |
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| 14 | USE par_kind , ONLY: & ! Precision variables |
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| 15 | & wp |
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| 16 | USE par_oce , ONLY: & ! Ocean space and time domain variables |
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| 17 | & jpi, & |
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| 18 | & jpj, & |
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| 19 | & jpk, & |
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| 20 | & jpkm1, & |
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| 21 | & jpiglo |
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| 22 | USE oce_tam , ONLY: & ! ocean dynamics and tracers |
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| 23 | & un_tl, & |
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| 24 | & vn_tl, & |
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| 25 | & ub_tl, & |
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| 26 | & vb_tl, & |
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| 27 | & ua_tl, & |
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| 28 | & va_tl, & |
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| 29 | & un_ad, & |
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| 30 | & vn_ad, & |
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| 31 | & ub_ad, & |
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| 32 | & vb_ad, & |
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| 33 | & ua_ad, & |
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| 34 | & va_ad |
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| 35 | USE dom_oce , ONLY: & ! ocean space and time domain |
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| 36 | & umask, & |
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| 37 | & vmask, & |
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| 38 | & lk_vvl, & |
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| 39 | & neuler, & |
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| 40 | & rdt, & |
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| 41 | & atfp, & |
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| 42 | & atfp1, & |
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| 43 | & e1u, & |
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| 44 | & e2u, & |
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| 45 | & e1v, & |
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| 46 | & e2v, & |
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| 47 | #if defined key_zco |
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| 48 | & e3t_0, & |
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| 49 | #else |
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| 50 | & e3v, & |
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| 51 | & e3u, & |
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| 52 | #endif |
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| 53 | & mig, & |
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| 54 | & mjg, & |
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| 55 | & nldi, & |
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| 56 | & nldj, & |
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| 57 | & nlei, & |
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| 58 | & nlej |
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| 59 | USE in_out_manager, ONLY: & ! I/O manager |
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| 60 | & lwp, & |
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| 61 | & nit000, & |
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| 62 | & nitend, & |
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| 63 | & numout, & |
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| 64 | & ctl_stop |
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| 65 | USE dynspg_oce , ONLY: & ! type of surface pressure gradient |
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| 66 | & lk_dynspg_flt |
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| 67 | USE lbclnk , ONLY: & ! lateral boundary condition (or mpp link) |
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| 68 | & lbc_lnk |
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| 69 | USE lbclnk_tam , ONLY: & ! lateral boundary condition (or mpp link) |
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| 70 | & lbc_lnk_adj |
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| 71 | USE gridrandom , ONLY: & ! Random Gaussian noise on grids |
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| 72 | & grid_random |
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| 73 | USE dotprodfld, ONLY: & ! Computes dot product for 3D and 2D fields |
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| 74 | & dot_product |
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| 75 | USE tstool_tam , ONLY: & |
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| 76 | & prntst_adj, & ! |
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| 77 | ! random field standard deviation for: |
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| 78 | & stdu, & ! u-velocity |
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| 79 | & stdv ! v-velocity |
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| 80 | |
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| 81 | !VERIF |
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| 82 | ! USE bdy_oce ! unstructured open boundary conditions |
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| 83 | ! USE bdydta ! unstructured open boundary conditions |
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| 84 | ! USE bdydyn ! unstructured open boundary conditions |
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| 85 | !!!!! |
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| 86 | |
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| 87 | IMPLICIT NONE |
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| 88 | PRIVATE |
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| 89 | |
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| 90 | !! * Accessibility |
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| 91 | PUBLIC dyn_nxt_tan ! routine called by step.F90 |
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| 92 | PUBLIC dyn_nxt_adj ! routine called by step.F90 |
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| 93 | PUBLIC dyn_nxt_adj_tst ! routine called by step.F90 |
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| 94 | !! * Substitutions |
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| 95 | # include "domzgr_substitute.h90" |
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| 96 | !!---------------------------------------------------------------------- |
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| 97 | |
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| 98 | CONTAINS |
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| 99 | |
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| 100 | SUBROUTINE dyn_nxt_tan ( kt ) |
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| 101 | !!---------------------------------------------------------------------- |
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| 102 | !! *** ROUTINE dyn_nxt_tan *** |
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| 103 | !! |
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| 104 | !! ** Purpose of the direct routine: |
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| 105 | !! Compute the after horizontal velocity from the |
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| 106 | !! momentum trend. |
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| 107 | !! |
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| 108 | !! ** Method : Apply lateral boundary conditions on the trends (ua,va) |
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| 109 | !! through calls to routine lbc_lnk. |
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| 110 | !! After velocity is compute using a leap-frog scheme environment: |
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| 111 | !! (ua,va) = (ub,vb) + 2 rdt (ua,va) |
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| 112 | !! Note that if lk_dynspg_flt=T, the time stepping has already been |
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| 113 | !! performed in dynspg module |
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| 114 | !! Time filter applied on now horizontal velocity to avoid the |
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| 115 | !! divergence of two consecutive time-steps and swap of dynamics |
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| 116 | !! arrays to start the next time step: |
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| 117 | !! (ub,vb) = (un,vn) + atfp [ (ub,vb) + (ua,va) - 2 (un,vn) ] |
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| 118 | !! (un,vn) = (ua,va) |
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| 119 | !! |
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| 120 | !! ** Action : - Update ub,vb arrays, the before horizontal velocity |
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| 121 | !! - Update un,vn arrays, the now horizontal velocity |
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| 122 | !! |
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| 123 | !! History of the direct routine: |
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| 124 | !! ! 87-02 (P. Andrich, D. L Hostis) Original code |
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| 125 | !! ! 90-10 (C. Levy, G. Madec) |
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| 126 | !! ! 93-03 (M. Guyon) symetrical conditions |
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| 127 | !! ! 97-02 (G. Madec & M. Imbard) opa, release 8.0 |
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| 128 | !! ! 97-04 (A. Weaver) Euler forward step |
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| 129 | !! ! 97-06 (G. Madec) lateral boudary cond., lbc routine |
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| 130 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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| 131 | !! ! 02-10 (C. Talandier, A-M. Treguier) Open boundary cond. |
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| 132 | !! 9.0 ! 05-11 (V. Garnier) Surface pressure gradient organization |
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| 133 | !! ! 07-07 (D. Storkey) Calls to BDY routines. |
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| 134 | !! History of the TAM routine: |
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| 135 | !! 9.0 ! 08-06 (A. Vidard) Skeleton |
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| 136 | !! ! 08-08 (A. Vidard) tangent of the 05-11 version |
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| 137 | !! ! 08-08 (A. Vidard) tangent of the 07-07 version |
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| 138 | !!---------------------------------------------------------------------- |
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| 139 | !! * Arguments |
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| 140 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 141 | |
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| 142 | !! * Local declarations |
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| 143 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 144 | REAL(wp) :: z2dt ! temporary scalar |
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| 145 | REAL(wp) :: zsshun1, zsshvn1 ! temporary scalar |
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| 146 | !!---------------------------------------------------------------------- |
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| 147 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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| 148 | !! $Header$ |
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| 149 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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| 150 | !!---------------------------------------------------------------------- |
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| 151 | |
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| 152 | IF( kt == nit000 ) THEN |
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| 153 | IF(lwp) WRITE(numout,*) |
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| 154 | IF(lwp) WRITE(numout,*) 'dyn_nxt_tan : time stepping' |
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| 155 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 156 | ENDIF |
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| 157 | |
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| 158 | ! Local constant initialization |
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| 159 | z2dt = 2. * rdt |
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| 160 | IF( neuler == 0 .AND. kt == nit000 ) z2dt = rdt |
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| 161 | |
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| 162 | !! Explicit physics with thickness weighted updates |
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| 163 | IF( lk_vvl .AND. .NOT. lk_dynspg_flt ) THEN |
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| 164 | CALL ctl_stop ('vvl not available for tangent') |
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| 165 | ENDIF |
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| 166 | |
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| 167 | ! Lateral boundary conditions on ( ua, va ) |
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| 168 | CALL lbc_lnk( ua_tl, 'U', -1. ) |
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| 169 | CALL lbc_lnk( va_tl, 'V', -1. ) |
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| 170 | |
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| 171 | ! ! =============== |
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| 172 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 173 | ! ! =============== |
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| 174 | ! Next velocity |
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| 175 | ! ------------- |
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| 176 | #if defined key_dynspg_flt |
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| 177 | ! Leap-frog time stepping already done in dynspg.F routine |
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| 178 | #else |
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| 179 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
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| 180 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
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| 181 | ! Leap-frog time stepping |
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| 182 | ua_tl(ji,jj,jk) = ( ub_tl(ji,jj,jk) + z2dt * ua_tl(ji,jj,jk) ) * umask(ji,jj,jk) |
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| 183 | va_tl(ji,jj,jk) = ( vb_tl(ji,jj,jk) + z2dt * va_tl(ji,jj,jk) ) * vmask(ji,jj,jk) |
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| 184 | END DO |
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| 185 | END DO |
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| 186 | |
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| 187 | IF( lk_vvl ) THEN |
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| 188 | CALL ctl_stop ('key_vvl not available yet for tangent') |
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| 189 | ENDIF |
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| 190 | # if defined key_obc |
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| 191 | ! ! =============== |
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| 192 | END DO ! End of slab |
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| 193 | ! ! =============== |
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| 194 | CALL ctl_stop ('key_obc not available yet for tangent') |
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| 195 | |
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| 196 | |
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| 197 | ! ! =============== |
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| 198 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 199 | ! ! =============== |
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| 200 | # elif defined key_bdy |
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| 201 | ! ! =============== |
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| 202 | END DO ! End of slab |
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| 203 | ! ! =============== |
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| 204 | CALL ctl_stop ('key_bdy not available yet for tangent') |
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| 205 | |
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| 206 | ! ! =============== |
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| 207 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 208 | ! ! =============== |
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| 209 | # endif |
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| 210 | # if defined key_agrif |
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| 211 | ! ! =============== |
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| 212 | END DO ! End of slab |
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| 213 | ! ! =============== |
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| 214 | CALL ctl_stop ('key_agrif not available yet for tangent') |
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| 215 | ! ! =============== |
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| 216 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 217 | ! ! =============== |
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| 218 | # endif |
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| 219 | #endif |
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| 220 | |
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| 221 | ! Time filter and swap of dynamics arrays |
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| 222 | ! ------------------------------------------ |
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| 223 | IF( neuler == 0 .AND. kt == nit000 ) THEN |
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| 224 | IF( (lk_vvl .AND. .NOT. lk_dynspg_flt) ) THEN ! Varying levels |
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| 225 | CALL ctl_stop ('vvl not available for tangent') |
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| 226 | ELSE ! Fixed levels |
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| 227 | DO jj = 1, jpj |
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| 228 | DO ji = 1, jpi |
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| 229 | ! Euler (forward) time stepping |
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| 230 | ub_tl(ji,jj,jk) = un_tl(ji,jj,jk) |
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| 231 | vb_tl(ji,jj,jk) = vn_tl(ji,jj,jk) |
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| 232 | un_tl(ji,jj,jk) = ua_tl(ji,jj,jk) |
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| 233 | vn_tl(ji,jj,jk) = va_tl(ji,jj,jk) |
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| 234 | END DO |
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| 235 | END DO |
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| 236 | ENDIF |
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| 237 | ELSE |
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| 238 | IF( (lk_vvl .AND. .NOT. lk_dynspg_flt) ) THEN ! Varying levels |
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| 239 | CALL ctl_stop ('vvl not available for tangent') |
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| 240 | ELSE ! Fixed levels |
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| 241 | DO jj = 1, jpj |
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| 242 | DO ji = 1, jpi |
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| 243 | ! Leap-frog time stepping |
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| 244 | ub_tl(ji,jj,jk) = atfp * ( ub_tl(ji,jj,jk) + ua_tl(ji,jj,jk) ) + atfp1 * un_tl(ji,jj,jk) |
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| 245 | vb_tl(ji,jj,jk) = atfp * ( vb_tl(ji,jj,jk) + va_tl(ji,jj,jk) ) + atfp1 * vn_tl(ji,jj,jk) |
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| 246 | un_tl(ji,jj,jk) = ua_tl(ji,jj,jk) |
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| 247 | vn_tl(ji,jj,jk) = va_tl(ji,jj,jk) |
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| 248 | END DO |
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| 249 | END DO |
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| 250 | ENDIF |
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| 251 | ENDIF |
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| 252 | ! ! =============== |
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| 253 | END DO ! End of slab |
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| 254 | ! ! =============== |
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| 255 | |
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| 256 | #if defined key_agrif |
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| 257 | CALL ctl_stop ('key_agrif not available yet for tangent') |
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| 258 | |
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| 259 | ! IF (.NOT.Agrif_Root()) CALL Agrif_Update_Dyn( kt ) |
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| 260 | #endif |
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| 261 | |
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| 262 | END SUBROUTINE dyn_nxt_tan |
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| 263 | SUBROUTINE dyn_nxt_adj ( kt ) |
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| 264 | !!---------------------------------------------------------------------- |
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| 265 | !! *** ROUTINE dyn_nxt_adj *** |
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| 266 | !! |
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| 267 | !! ** Purpose of the direct routine: |
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| 268 | !! Compute the after horizontal velocity from the |
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| 269 | !! momentum trend. |
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| 270 | !! |
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| 271 | !! ** Method : Apply lateral boundary conditions on the trends (ua,va) |
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| 272 | !! through calls to routine lbc_lnk. |
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| 273 | !! After velocity is compute using a leap-frog scheme environment: |
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| 274 | !! (ua,va) = (ub,vb) + 2 rdt (ua,va) |
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| 275 | !! Note that if lk_dynspg_flt=T, the time stepping has already been |
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| 276 | !! performed in dynspg module |
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| 277 | !! Time filter applied on now horizontal velocity to avoid the |
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| 278 | !! divergence of two consecutive time-steps and swap of dynamics |
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| 279 | !! arrays to start the next time step: |
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| 280 | !! (ub,vb) = (un,vn) + atfp [ (ub,vb) + (ua,va) - 2 (un,vn) ] |
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| 281 | !! (un,vn) = (ua,va) |
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| 282 | !! |
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| 283 | !! ** Action : - Update ub,vb arrays, the before horizontal velocity |
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| 284 | !! - Update un,vn arrays, the now horizontal velocity |
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| 285 | !! |
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| 286 | !! History of the direct routine: |
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| 287 | !! ! 87-02 (P. Andrich, D. L Hostis) Original code |
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| 288 | !! ! 90-10 (C. Levy, G. Madec) |
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| 289 | !! ! 93-03 (M. Guyon) symetrical conditions |
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| 290 | !! ! 97-02 (G. Madec & M. Imbard) opa, release 8.0 |
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| 291 | !! ! 97-04 (A. Weaver) Euler forward step |
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| 292 | !! ! 97-06 (G. Madec) lateral boudary cond., lbc routine |
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| 293 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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| 294 | !! ! 02-10 (C. Talandier, A-M. Treguier) Open boundary cond. |
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| 295 | !! 9.0 ! 05-11 (V. Garnier) Surface pressure gradient organization |
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| 296 | !! History of the TAM routine: |
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| 297 | !! 9.0 ! 08-06 (A. Vidard) Skeleton |
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| 298 | !! ! 08-08 (A. Vidard) Adjoint of the 02-10 version |
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| 299 | !! ! 08-11 (A. Vidard) Adjoint of the 05-12 version |
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| 300 | !!---------------------------------------------------------------------- |
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| 301 | !! * Arguments |
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| 302 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 303 | |
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| 304 | !! * Local declarations |
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| 305 | !! * Local declarations |
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| 306 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 307 | REAL(wp) :: z2dt ! temporary scalar |
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| 308 | |
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| 309 | IF( kt == nit000 ) THEN |
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| 310 | IF(lwp) WRITE(numout,*) |
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| 311 | IF(lwp) WRITE(numout,*) 'dyn_nxt_adj : time stepping' |
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| 312 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 313 | ENDIF |
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| 314 | |
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| 315 | ! Local constant initialization |
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| 316 | z2dt = 2. * rdt |
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| 317 | IF( neuler == 0 .AND. kt == nit000 ) z2dt = rdt |
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| 318 | |
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| 319 | #if defined key_agrif |
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| 320 | CALL ctl_stop ('key_agrif not available yet for tangent') |
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| 321 | |
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| 322 | ! IF (.NOT.Agrif_Root()) CALL Agrif_Update_Dyn( kt ) |
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| 323 | #endif |
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| 324 | |
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| 325 | |
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| 326 | ! ! =============== |
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| 327 | DO jk = jpkm1, 1, -1 ! Horizontal slab |
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| 328 | ! ! =============== |
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| 329 | ! Next velocity |
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| 330 | ! ------------- |
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| 331 | |
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| 332 | ! Time filter and swap of dynamics arrays |
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| 333 | ! ------------------------------------------ |
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| 334 | IF( neuler == 0 .AND. kt == nit000 ) THEN |
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| 335 | IF( (lk_vvl .AND. .NOT. lk_dynspg_flt) ) THEN ! Varying levels |
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| 336 | CALL ctl_stop ('vvl not available for tangent') |
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| 337 | ELSE ! Fixed levels |
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| 338 | DO jj = 1, jpj |
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| 339 | DO ji = 1, jpi |
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| 340 | ! Euler (forward) time stepping |
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| 341 | ua_ad(ji,jj,jk) = ua_ad(ji,jj,jk) + un_ad(ji,jj,jk) |
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| 342 | va_ad(ji,jj,jk) = va_ad(ji,jj,jk) + vn_ad(ji,jj,jk) |
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| 343 | un_ad(ji,jj,jk) = 0.0_wp |
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| 344 | vn_ad(ji,jj,jk) = 0.0_wp |
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| 345 | un_ad(ji,jj,jk) = un_ad(ji,jj,jk) + ub_ad(ji,jj,jk) |
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| 346 | vn_ad(ji,jj,jk) = vn_ad(ji,jj,jk) + vb_ad(ji,jj,jk) |
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| 347 | ub_ad(ji,jj,jk) = 0.0_wp |
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| 348 | vb_ad(ji,jj,jk) = 0.0_wp |
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| 349 | END DO |
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| 350 | END DO |
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| 351 | ENDIF |
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| 352 | ELSE |
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| 353 | IF( (lk_vvl .AND. .NOT. lk_dynspg_flt) ) THEN ! Varying levels |
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| 354 | CALL ctl_stop ('vvl not available for tangent') |
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| 355 | ELSE ! Fixed levels |
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| 356 | DO jj = 1, jpj |
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| 357 | DO ji = 1, jpi |
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| 358 | ! Leap-frog time stepping |
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| 359 | ua_ad(ji,jj,jk) = ua_ad(ji,jj,jk) + un_ad(ji,jj,jk) |
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| 360 | un_ad(ji,jj,jk) = 0.0_wp |
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| 361 | va_ad(ji,jj,jk) = va_ad(ji,jj,jk) + vn_ad(ji,jj,jk) |
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| 362 | vn_ad(ji,jj,jk) = 0.0_wp |
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| 363 | ua_ad(ji,jj,jk) = ua_ad(ji,jj,jk) + atfp * ub_ad(ji,jj,jk) |
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| 364 | un_ad(ji,jj,jk) = un_ad(ji,jj,jk) + atfp1 * ub_ad(ji,jj,jk) |
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| 365 | ub_ad(ji,jj,jk) = atfp * ub_ad(ji,jj,jk) |
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| 366 | |
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| 367 | va_ad(ji,jj,jk) = va_ad(ji,jj,jk) + atfp * vb_ad(ji,jj,jk) |
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| 368 | vn_ad(ji,jj,jk) = vn_ad(ji,jj,jk) + atfp1 * vb_ad(ji,jj,jk) |
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| 369 | vb_ad(ji,jj,jk) = atfp * vb_ad(ji,jj,jk) |
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| 370 | |
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| 371 | END DO |
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| 372 | END DO |
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| 373 | ENDIF |
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| 374 | ENDIF |
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| 375 | |
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| 376 | #if defined key_dynspg_flt |
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| 377 | ! Leap-frog time stepping already done in dynspg.F routine |
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| 378 | #else |
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| 379 | # if defined key_agrif |
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| 380 | ! ! =============== |
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| 381 | END DO ! End of slab |
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| 382 | ! ! =============== |
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| 383 | CALL ctl_stop ('key_agrif not available yet for adjoint') |
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| 384 | ! ! =============== |
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| 385 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 386 | ! ! =============== |
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| 387 | # endif |
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| 388 | # if defined key_bdy |
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| 389 | ! ! =============== |
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| 390 | END DO ! End of slab |
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| 391 | ! ! =============== |
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| 392 | CALL ctl_stop ('key_bdy not available yet for adjoint') |
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| 393 | |
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| 394 | ! ! =============== |
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| 395 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 396 | ! ! =============== |
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| 397 | # elif defined key_obc |
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| 398 | ! ! =============== |
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| 399 | END DO ! End of slab |
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| 400 | ! ! =============== |
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| 401 | CALL ctl_stop ('key_obc not available yet for adjoint') |
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| 402 | |
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| 403 | |
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| 404 | ! ! =============== |
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| 405 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 406 | ! ! =============== |
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| 407 | # endif |
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| 408 | IF( lk_vvl ) THEN |
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| 409 | CALL ctl_stop ('key_vvl not available yet for adjoint') |
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| 410 | ENDIF |
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| 411 | |
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| 412 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
|---|
| 413 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
|---|
| 414 | ! Leap-frog time stepping |
|---|
| 415 | ub_ad(ji,jj,jk) = ub_ad(ji,jj,jk) + ua_ad(ji,jj,jk) * umask(ji,jj,jk) |
|---|
| 416 | ua_ad(ji,jj,jk) = z2dt * ua_ad(ji,jj,jk) * umask(ji,jj,jk) |
|---|
| 417 | vb_ad(ji,jj,jk) = vb_ad(ji,jj,jk) + va_ad(ji,jj,jk) * vmask(ji,jj,jk) |
|---|
| 418 | va_ad(ji,jj,jk) = z2dt * va_ad(ji,jj,jk) * vmask(ji,jj,jk) |
|---|
| 419 | END DO |
|---|
| 420 | END DO |
|---|
| 421 | #endif |
|---|
| 422 | ! ! =============== |
|---|
| 423 | END DO ! End of slab |
|---|
| 424 | ! ! =============== |
|---|
| 425 | ! Lateral boundary conditions on ( ua, va ) |
|---|
| 426 | CALL lbc_lnk_adj( ua_ad, 'U', -1. ) |
|---|
| 427 | CALL lbc_lnk_adj( va_ad, 'V', -1. ) |
|---|
| 428 | |
|---|
| 429 | !! Explicit physics with thickness weighted updates |
|---|
| 430 | IF( lk_vvl .AND. .NOT. lk_dynspg_flt ) THEN |
|---|
| 431 | CALL ctl_stop ('vvl not available for tangent') |
|---|
| 432 | ENDIF |
|---|
| 433 | |
|---|
| 434 | END SUBROUTINE dyn_nxt_adj |
|---|
| 435 | SUBROUTINE dyn_nxt_adj_tst( kumadt ) |
|---|
| 436 | !!----------------------------------------------------------------------- |
|---|
| 437 | !! |
|---|
| 438 | !! *** ROUTINE dyn_nxt_adj_tst *** |
|---|
| 439 | !! |
|---|
| 440 | !! ** Purpose : Test the adjoint routine. |
|---|
| 441 | !! |
|---|
| 442 | !! ** Method : Verify the scalar product |
|---|
| 443 | !! |
|---|
| 444 | !! ( L dx )^T W dy = dx^T L^T W dy |
|---|
| 445 | !! |
|---|
| 446 | !! where L = tangent routine |
|---|
| 447 | !! L^T = adjoint routine |
|---|
| 448 | !! W = diagonal matrix of scale factors |
|---|
| 449 | !! dx = input perturbation (random field) |
|---|
| 450 | !! dy = L dx |
|---|
| 451 | !! |
|---|
| 452 | !! ** Action : Separate tests are applied for the following dx and dy: |
|---|
| 453 | !! |
|---|
| 454 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
|---|
| 455 | !! |
|---|
| 456 | !! History : |
|---|
| 457 | !! ! 08-08 (A. Vidard) |
|---|
| 458 | !!----------------------------------------------------------------------- |
|---|
| 459 | !! * Modules used |
|---|
| 460 | |
|---|
| 461 | !! * Arguments |
|---|
| 462 | INTEGER, INTENT(IN) :: & |
|---|
| 463 | & kumadt ! Output unit |
|---|
| 464 | |
|---|
| 465 | INTEGER :: & |
|---|
| 466 | & ji, & ! dummy loop indices |
|---|
| 467 | & jj, & |
|---|
| 468 | & jk |
|---|
| 469 | INTEGER, DIMENSION(jpi,jpj) :: & |
|---|
| 470 | & iseed_2d ! 2D seed for the random number generator |
|---|
| 471 | |
|---|
| 472 | !! * Local declarations |
|---|
| 473 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
|---|
| 474 | & zun_tlin, & ! Tangent input: now u-velocity |
|---|
| 475 | & zvn_tlin, & ! Tangent input: now v-velocity |
|---|
| 476 | & zua_tlin, & ! Tangent input: after u-velocity |
|---|
| 477 | & zva_tlin, & ! Tangent input: after u-velocity |
|---|
| 478 | & zub_tlin, & ! Tangent input: before u-velocity |
|---|
| 479 | & zvb_tlin, & ! Tangent input: before u-velocity |
|---|
| 480 | & zun_adin, & ! Adjoint input: now u-velocity |
|---|
| 481 | & zvn_adin, & ! Adjoint input: now v-velocity |
|---|
| 482 | & zua_adin, & ! Adjoint input: after u-velocity |
|---|
| 483 | & zva_adin, & ! Adjoint input: after u-velocity |
|---|
| 484 | & zub_adin, & ! Adjoint input: before u-velocity |
|---|
| 485 | & zvb_adin, & ! Adjoint input: before u-velocity |
|---|
| 486 | & zun_tlout, & ! Tangent output: now u-velocity |
|---|
| 487 | & zvn_tlout, & ! Tangent output: now v-velocity |
|---|
| 488 | & zua_tlout, & ! Tangent output: after u-velocity |
|---|
| 489 | & zva_tlout, & ! Tangent output: after u-velocity |
|---|
| 490 | & zub_tlout, & ! Tangent output: before u-velocity |
|---|
| 491 | & zvb_tlout, & ! Tangent output: before u-velocity |
|---|
| 492 | & zun_adout, & ! Adjoint output: now u-velocity |
|---|
| 493 | & zvn_adout, & ! Adjoint output: now v-velocity |
|---|
| 494 | & zua_adout, & ! Adjoint output: after u-velocity |
|---|
| 495 | & zva_adout, & ! Adjoint output: after u-velocity |
|---|
| 496 | & zub_adout, & ! Adjoint output: before u-velocity |
|---|
| 497 | & zvb_adout, & ! Adjoint output: before u-velocity |
|---|
| 498 | & znu, & ! 3D random field for u |
|---|
| 499 | & znv, & ! 3D random field for v |
|---|
| 500 | & zbu, & ! 3D random field for u |
|---|
| 501 | & zbv, & ! 3D random field for v |
|---|
| 502 | & zau, & ! 3D random field for u |
|---|
| 503 | & zav ! 3D random field for v |
|---|
| 504 | |
|---|
| 505 | REAL(KIND=wp) :: & |
|---|
| 506 | & zsp1, & ! scalar product involving the tangent routine |
|---|
| 507 | & zsp1_1, & ! scalar product components |
|---|
| 508 | & zsp1_2, & |
|---|
| 509 | & zsp1_3, & |
|---|
| 510 | & zsp1_4, & |
|---|
| 511 | & zsp1_5, & |
|---|
| 512 | & zsp1_6, & |
|---|
| 513 | & zsp2, & ! scalar product involving the adjoint routine |
|---|
| 514 | & zsp2_1, & ! scalar product components |
|---|
| 515 | & zsp2_2, & |
|---|
| 516 | & zsp2_3, & |
|---|
| 517 | & zsp2_4, & |
|---|
| 518 | & zsp2_5, & |
|---|
| 519 | & zsp2_6 |
|---|
| 520 | CHARACTER(LEN=14) :: cl_name |
|---|
| 521 | |
|---|
| 522 | ! Allocate memory |
|---|
| 523 | |
|---|
| 524 | ALLOCATE( & |
|---|
| 525 | & zun_tlin(jpi,jpj,jpk), & |
|---|
| 526 | & zvn_tlin(jpi,jpj,jpk), & |
|---|
| 527 | & zua_tlin(jpi,jpj,jpk), & |
|---|
| 528 | & zva_tlin(jpi,jpj,jpk), & |
|---|
| 529 | & zub_tlin(jpi,jpj,jpk), & |
|---|
| 530 | & zvb_tlin(jpi,jpj,jpk), & |
|---|
| 531 | & zun_adin(jpi,jpj,jpk), & |
|---|
| 532 | & zvn_adin(jpi,jpj,jpk), & |
|---|
| 533 | & zua_adin(jpi,jpj,jpk), & |
|---|
| 534 | & zva_adin(jpi,jpj,jpk), & |
|---|
| 535 | & zub_adin(jpi,jpj,jpk), & |
|---|
| 536 | & zvb_adin(jpi,jpj,jpk), & |
|---|
| 537 | & zun_tlout(jpi,jpj,jpk), & |
|---|
| 538 | & zvn_tlout(jpi,jpj,jpk), & |
|---|
| 539 | & zua_tlout(jpi,jpj,jpk), & |
|---|
| 540 | & zva_tlout(jpi,jpj,jpk), & |
|---|
| 541 | & zub_tlout(jpi,jpj,jpk), & |
|---|
| 542 | & zvb_tlout(jpi,jpj,jpk), & |
|---|
| 543 | & zun_adout(jpi,jpj,jpk), & |
|---|
| 544 | & zvn_adout(jpi,jpj,jpk), & |
|---|
| 545 | & zua_adout(jpi,jpj,jpk), & |
|---|
| 546 | & zva_adout(jpi,jpj,jpk), & |
|---|
| 547 | & zub_adout(jpi,jpj,jpk), & |
|---|
| 548 | & zvb_adout(jpi,jpj,jpk), & |
|---|
| 549 | & znu(jpi,jpj,jpk), & |
|---|
| 550 | & znv(jpi,jpj,jpk), & |
|---|
| 551 | & zbu(jpi,jpj,jpk), & |
|---|
| 552 | & zbv(jpi,jpj,jpk), & |
|---|
| 553 | & zau(jpi,jpj,jpk), & |
|---|
| 554 | & zav(jpi,jpj,jpk) & |
|---|
| 555 | & ) |
|---|
| 556 | |
|---|
| 557 | |
|---|
| 558 | !================================================================== |
|---|
| 559 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
|---|
| 560 | ! dy = ( hdivb_tl, hdivn_tl ) |
|---|
| 561 | !================================================================== |
|---|
| 562 | |
|---|
| 563 | !-------------------------------------------------------------------- |
|---|
| 564 | ! Reset the tangent and adjoint variables |
|---|
| 565 | !-------------------------------------------------------------------- |
|---|
| 566 | |
|---|
| 567 | zun_tlin(:,:,:) = 0.0_wp |
|---|
| 568 | zvn_tlin(:,:,:) = 0.0_wp |
|---|
| 569 | zua_tlin(:,:,:) = 0.0_wp |
|---|
| 570 | zva_tlin(:,:,:) = 0.0_wp |
|---|
| 571 | zub_tlin(:,:,:) = 0.0_wp |
|---|
| 572 | zvb_tlin(:,:,:) = 0.0_wp |
|---|
| 573 | zun_adin(:,:,:) = 0.0_wp |
|---|
| 574 | zvn_adin(:,:,:) = 0.0_wp |
|---|
| 575 | zua_adin(:,:,:) = 0.0_wp |
|---|
| 576 | zva_adin(:,:,:) = 0.0_wp |
|---|
| 577 | zub_adin(:,:,:) = 0.0_wp |
|---|
| 578 | zvb_adin(:,:,:) = 0.0_wp |
|---|
| 579 | zun_tlout(:,:,:) = 0.0_wp |
|---|
| 580 | zvn_tlout(:,:,:) = 0.0_wp |
|---|
| 581 | zua_tlout(:,:,:) = 0.0_wp |
|---|
| 582 | zva_tlout(:,:,:) = 0.0_wp |
|---|
| 583 | zub_tlout(:,:,:) = 0.0_wp |
|---|
| 584 | zvb_tlout(:,:,:) = 0.0_wp |
|---|
| 585 | zun_adout(:,:,:) = 0.0_wp |
|---|
| 586 | zvn_adout(:,:,:) = 0.0_wp |
|---|
| 587 | zua_adout(:,:,:) = 0.0_wp |
|---|
| 588 | zva_adout(:,:,:) = 0.0_wp |
|---|
| 589 | zub_adout(:,:,:) = 0.0_wp |
|---|
| 590 | zvb_adout(:,:,:) = 0.0_wp |
|---|
| 591 | znu(:,:,:) = 0.0_wp |
|---|
| 592 | znv(:,:,:) = 0.0_wp |
|---|
| 593 | zbu(:,:,:) = 0.0_wp |
|---|
| 594 | zbv(:,:,:) = 0.0_wp |
|---|
| 595 | zau(:,:,:) = 0.0_wp |
|---|
| 596 | zav(:,:,:) = 0.0_wp |
|---|
| 597 | |
|---|
| 598 | un_tl(:,:,:) = 0.0_wp |
|---|
| 599 | vn_tl(:,:,:) = 0.0_wp |
|---|
| 600 | ua_tl(:,:,:) = 0.0_wp |
|---|
| 601 | va_tl(:,:,:) = 0.0_wp |
|---|
| 602 | ub_tl(:,:,:) = 0.0_wp |
|---|
| 603 | vb_tl(:,:,:) = 0.0_wp |
|---|
| 604 | un_ad(:,:,:) = 0.0_wp |
|---|
| 605 | vn_ad(:,:,:) = 0.0_wp |
|---|
| 606 | ua_ad(:,:,:) = 0.0_wp |
|---|
| 607 | va_ad(:,:,:) = 0.0_wp |
|---|
| 608 | ub_ad(:,:,:) = 0.0_wp |
|---|
| 609 | vb_ad(:,:,:) = 0.0_wp |
|---|
| 610 | |
|---|
| 611 | |
|---|
| 612 | !-------------------------------------------------------------------- |
|---|
| 613 | ! Initialize the tangent input with random noise: dx |
|---|
| 614 | !-------------------------------------------------------------------- |
|---|
| 615 | |
|---|
| 616 | DO jj = 1, jpj |
|---|
| 617 | DO ji = 1, jpi |
|---|
| 618 | iseed_2d(ji,jj) = - ( 596035 + & |
|---|
| 619 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 620 | END DO |
|---|
| 621 | END DO |
|---|
| 622 | CALL grid_random( iseed_2d, znu, 'U', 0.0_wp, stdu ) |
|---|
| 623 | |
|---|
| 624 | DO jj = 1, jpj |
|---|
| 625 | DO ji = 1, jpi |
|---|
| 626 | iseed_2d(ji,jj) = - ( 523432 + & |
|---|
| 627 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 628 | END DO |
|---|
| 629 | END DO |
|---|
| 630 | CALL grid_random( iseed_2d, znv, 'V', 0.0_wp, stdv ) |
|---|
| 631 | |
|---|
| 632 | DO jj = 1, jpj |
|---|
| 633 | DO ji = 1, jpi |
|---|
| 634 | iseed_2d(ji,jj) = - ( 456953 + & |
|---|
| 635 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 636 | END DO |
|---|
| 637 | END DO |
|---|
| 638 | CALL grid_random( iseed_2d, zbu, 'U', 0.0_wp, stdu ) |
|---|
| 639 | |
|---|
| 640 | DO jj = 1, jpj |
|---|
| 641 | DO ji = 1, jpi |
|---|
| 642 | iseed_2d(ji,jj) = - ( 267406 + & |
|---|
| 643 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 644 | END DO |
|---|
| 645 | END DO |
|---|
| 646 | CALL grid_random( iseed_2d, zbv, 'V', 0.0_wp, stdv ) |
|---|
| 647 | |
|---|
| 648 | DO jj = 1, jpj |
|---|
| 649 | DO ji = 1, jpi |
|---|
| 650 | iseed_2d(ji,jj) = - ( 432545 + & |
|---|
| 651 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 652 | END DO |
|---|
| 653 | END DO |
|---|
| 654 | CALL grid_random( iseed_2d, zau, 'U', 0.0_wp, stdu ) |
|---|
| 655 | |
|---|
| 656 | DO jj = 1, jpj |
|---|
| 657 | DO ji = 1, jpi |
|---|
| 658 | iseed_2d(ji,jj) = - ( 287503 + & |
|---|
| 659 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 660 | END DO |
|---|
| 661 | END DO |
|---|
| 662 | CALL grid_random( iseed_2d, zav, 'V', 0.0_wp, stdv ) |
|---|
| 663 | |
|---|
| 664 | DO jk = 1, jpk |
|---|
| 665 | DO jj = nldj, nlej |
|---|
| 666 | DO ji = nldi, nlei |
|---|
| 667 | zun_tlin(ji,jj,jk) = znu(ji,jj,jk) |
|---|
| 668 | zvn_tlin(ji,jj,jk) = znv(ji,jj,jk) |
|---|
| 669 | zub_tlin(ji,jj,jk) = zbu(ji,jj,jk) |
|---|
| 670 | zvb_tlin(ji,jj,jk) = zbv(ji,jj,jk) |
|---|
| 671 | zua_tlin(ji,jj,jk) = zau(ji,jj,jk) |
|---|
| 672 | zva_tlin(ji,jj,jk) = zav(ji,jj,jk) |
|---|
| 673 | END DO |
|---|
| 674 | END DO |
|---|
| 675 | END DO |
|---|
| 676 | |
|---|
| 677 | un_tl(:,:,:) = zun_tlin(:,:,:) |
|---|
| 678 | vn_tl(:,:,:) = zvn_tlin(:,:,:) |
|---|
| 679 | ub_tl(:,:,:) = zub_tlin(:,:,:) |
|---|
| 680 | vb_tl(:,:,:) = zvb_tlin(:,:,:) |
|---|
| 681 | ua_tl(:,:,:) = zua_tlin(:,:,:) |
|---|
| 682 | va_tl(:,:,:) = zva_tlin(:,:,:) |
|---|
| 683 | |
|---|
| 684 | call dyn_nxt_tan ( nit000 ) |
|---|
| 685 | |
|---|
| 686 | zun_tlout(:,:,:) = un_tl(:,:,:) |
|---|
| 687 | zvn_tlout(:,:,:) = vn_tl(:,:,:) |
|---|
| 688 | zub_tlout(:,:,:) = ub_tl(:,:,:) |
|---|
| 689 | zvb_tlout(:,:,:) = vb_tl(:,:,:) |
|---|
| 690 | zua_tlout(:,:,:) = ua_tl(:,:,:) |
|---|
| 691 | zva_tlout(:,:,:) = va_tl(:,:,:) |
|---|
| 692 | |
|---|
| 693 | !-------------------------------------------------------------------- |
|---|
| 694 | ! Initialize the adjoint variables: dy^* = W dy |
|---|
| 695 | !-------------------------------------------------------------------- |
|---|
| 696 | |
|---|
| 697 | DO jk = 1, jpk |
|---|
| 698 | DO jj = nldj, nlej |
|---|
| 699 | DO ji = nldi, nlei |
|---|
| 700 | zun_adin(ji,jj,jk) = zun_tlout(ji,jj,jk) & |
|---|
| 701 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) & |
|---|
| 702 | & * umask(ji,jj,jk) |
|---|
| 703 | zvn_adin(ji,jj,jk) = zvn_tlout(ji,jj,jk) & |
|---|
| 704 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) & |
|---|
| 705 | & * vmask(ji,jj,jk) |
|---|
| 706 | zub_adin(ji,jj,jk) = zub_tlout(ji,jj,jk) & |
|---|
| 707 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) & |
|---|
| 708 | & * umask(ji,jj,jk) |
|---|
| 709 | zvb_adin(ji,jj,jk) = zvb_tlout(ji,jj,jk) & |
|---|
| 710 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) & |
|---|
| 711 | & * vmask(ji,jj,jk) |
|---|
| 712 | zua_adin(ji,jj,jk) = zua_tlout(ji,jj,jk) & |
|---|
| 713 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) & |
|---|
| 714 | & * umask(ji,jj,jk) |
|---|
| 715 | zva_adin(ji,jj,jk) = zva_tlout(ji,jj,jk) & |
|---|
| 716 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) & |
|---|
| 717 | & * vmask(ji,jj,jk) |
|---|
| 718 | END DO |
|---|
| 719 | END DO |
|---|
| 720 | END DO |
|---|
| 721 | !-------------------------------------------------------------------- |
|---|
| 722 | ! Compute the scalar product: ( L dx )^T W dy |
|---|
| 723 | !-------------------------------------------------------------------- |
|---|
| 724 | |
|---|
| 725 | zsp1_1 = DOT_PRODUCT( zun_tlout, zun_adin ) |
|---|
| 726 | zsp1_2 = DOT_PRODUCT( zvn_tlout, zvn_adin ) |
|---|
| 727 | zsp1_3 = DOT_PRODUCT( zub_tlout, zub_adin ) |
|---|
| 728 | zsp1_4 = DOT_PRODUCT( zvb_tlout, zvb_adin ) |
|---|
| 729 | zsp1_5 = DOT_PRODUCT( zua_tlout, zua_adin ) |
|---|
| 730 | zsp1_6 = DOT_PRODUCT( zva_tlout, zva_adin ) |
|---|
| 731 | zsp1 = zsp1_1 + zsp1_2 + zsp1_3 + zsp1_4 + zsp1_5 + zsp1_6 |
|---|
| 732 | |
|---|
| 733 | !-------------------------------------------------------------------- |
|---|
| 734 | ! Call the adjoint routine: dx^* = L^T dy^* |
|---|
| 735 | !-------------------------------------------------------------------- |
|---|
| 736 | |
|---|
| 737 | un_ad(:,:,:) = zun_adin(:,:,:) |
|---|
| 738 | vn_ad(:,:,:) = zvn_adin(:,:,:) |
|---|
| 739 | ub_ad(:,:,:) = zub_adin(:,:,:) |
|---|
| 740 | vb_ad(:,:,:) = zvb_adin(:,:,:) |
|---|
| 741 | ua_ad(:,:,:) = zua_adin(:,:,:) |
|---|
| 742 | va_ad(:,:,:) = zva_adin(:,:,:) |
|---|
| 743 | |
|---|
| 744 | CALL dyn_nxt_adj ( nit000 ) |
|---|
| 745 | |
|---|
| 746 | zun_adout(:,:,:) = un_ad(:,:,:) |
|---|
| 747 | zvn_adout(:,:,:) = vn_ad(:,:,:) |
|---|
| 748 | zub_adout(:,:,:) = ub_ad(:,:,:) |
|---|
| 749 | zvb_adout(:,:,:) = vb_ad(:,:,:) |
|---|
| 750 | zua_adout(:,:,:) = ua_ad(:,:,:) |
|---|
| 751 | zva_adout(:,:,:) = va_ad(:,:,:) |
|---|
| 752 | |
|---|
| 753 | zsp2_1 = DOT_PRODUCT( zun_tlin, zun_adout ) |
|---|
| 754 | zsp2_2 = DOT_PRODUCT( zvn_tlin, zvn_adout ) |
|---|
| 755 | zsp2_3 = DOT_PRODUCT( zub_tlin, zub_adout ) |
|---|
| 756 | zsp2_4 = DOT_PRODUCT( zvb_tlin, zvb_adout ) |
|---|
| 757 | zsp2_5 = DOT_PRODUCT( zua_tlin, zua_adout ) |
|---|
| 758 | zsp2_6 = DOT_PRODUCT( zva_tlin, zva_adout ) |
|---|
| 759 | zsp2 = zsp2_1 + zsp2_2 + zsp2_3 + zsp2_4 + zsp2_5 + zsp2_6 |
|---|
| 760 | |
|---|
| 761 | ! Compare the scalar products |
|---|
| 762 | ! 14 char:'12345678901234' |
|---|
| 763 | cl_name = 'dyn_nxt_adj ' |
|---|
| 764 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
|---|
| 765 | |
|---|
| 766 | DEALLOCATE( & |
|---|
| 767 | & zun_tlin, & |
|---|
| 768 | & zvn_tlin, & |
|---|
| 769 | & zua_tlin, & |
|---|
| 770 | & zva_tlin, & |
|---|
| 771 | & zub_tlin, & |
|---|
| 772 | & zvb_tlin, & |
|---|
| 773 | & zun_adin, & |
|---|
| 774 | & zvn_adin, & |
|---|
| 775 | & zua_adin, & |
|---|
| 776 | & zva_adin, & |
|---|
| 777 | & zub_adin, & |
|---|
| 778 | & zvb_adin, & |
|---|
| 779 | & zun_tlout, & |
|---|
| 780 | & zvn_tlout, & |
|---|
| 781 | & zua_tlout, & |
|---|
| 782 | & zva_tlout, & |
|---|
| 783 | & zub_tlout, & |
|---|
| 784 | & zvb_tlout, & |
|---|
| 785 | & zun_adout, & |
|---|
| 786 | & zvn_adout, & |
|---|
| 787 | & zua_adout, & |
|---|
| 788 | & zva_adout, & |
|---|
| 789 | & zub_adout, & |
|---|
| 790 | & zvb_adout, & |
|---|
| 791 | & znu, & |
|---|
| 792 | & znv, & |
|---|
| 793 | & zbu, & |
|---|
| 794 | & zbv, & |
|---|
| 795 | & zau, & |
|---|
| 796 | & zav & |
|---|
| 797 | & ) |
|---|
| 798 | |
|---|
| 799 | |
|---|
| 800 | END SUBROUTINE dyn_nxt_adj_tst |
|---|
| 801 | !!====================================================================== |
|---|
| 802 | #endif |
|---|
| 803 | END MODULE dynnxt_tam |
|---|
