| 1 | MODULE trazdf_exp_tam |
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| 2 | #ifdef key_tam |
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| 3 | !!============================================================================== |
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| 4 | !! *** MODULE trazdf_exp_tam *** |
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| 5 | !! Ocean active tracers: vertical component of the tracer mixing trend using |
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| 6 | !! a split-explicit time-stepping |
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| 7 | !! Tangent and Adjoint module |
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| 8 | !!============================================================================== |
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| 9 | !! History of the direct module : |
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| 10 | !! OPA ! 1990-10 (B. Blanke) Original code |
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| 11 | !! 7.0 ! 1991-11 (G. Madec) |
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| 12 | !! ! 1992-06 (M. Imbard) correction on tracer trend loops |
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| 13 | !! ! 1996-01 (G. Madec) statement function for e3 |
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| 14 | !! ! 1997-05 (G. Madec) vertical component of isopycnal |
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| 15 | !! ! 1997-07 (G. Madec) geopotential diffusion in s-coord |
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| 16 | !! ! 2000-08 (G. Madec) double diffusive mixing |
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| 17 | !! NEMO 1.0 ! 2002-08 (G. Madec) F90: Free form and module |
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| 18 | !! - ! 2004-08 (C. Talandier) New trends organisation |
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| 19 | !! - ! 2005-11 (G. Madec) New organisation |
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| 20 | !! 3.0 ! 2008-04 (G. Madec) leap-frog time stepping done in trazdf |
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| 21 | !! History of the T&A module : |
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| 22 | !! ! 2009-01 (A. Vidard) tam of the 2008-04 version |
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| 23 | !!---------------------------------------------------------------------- |
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| 24 | |
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| 25 | !!---------------------------------------------------------------------- |
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| 26 | !! tra_zdf_exp_tan : compute the tracer the vertical diffusion trend using a |
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| 27 | !! split-explicit time stepping and provide the after tracer (tangent) |
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| 28 | !! tra_zdf_exp_adj : compute the tracer the vertical diffusion trend using a |
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| 29 | !! split-explicit time stepping and provide the after tracer (adjoint) |
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| 30 | !!---------------------------------------------------------------------- |
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| 31 | USE par_kind , ONLY: & ! Precision variables |
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| 32 | & wp |
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| 33 | USE par_oce , ONLY: & ! Ocean space and time domain variables |
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| 34 | & jpi, & |
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| 35 | & jpj, & |
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| 36 | & jpk, & |
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| 37 | & jpim1, & |
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| 38 | & jpjm1, & |
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| 39 | & jpkm1, & |
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| 40 | & jpiglo |
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| 41 | USE oce_tam , ONLY: & ! ocean dynamics and active tracers |
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| 42 | & tb_tl, & |
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| 43 | & sb_tl, & |
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| 44 | & ta_tl, & |
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| 45 | & sa_tl, & |
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| 46 | & tb_ad, & |
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| 47 | & sb_ad, & |
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| 48 | & ta_ad, & |
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| 49 | & sa_ad |
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| 50 | USE dom_oce , ONLY: & ! ocean space and time domain |
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| 51 | & e1t, & |
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| 52 | & e2t, & |
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| 53 | # if defined key_vvl |
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| 54 | & e3t_1, & |
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| 55 | # else |
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| 56 | # if defined key_zco |
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| 57 | & e3t_0, & |
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| 58 | & e3w_0, & |
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| 59 | # else |
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| 60 | & e3t, & |
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| 61 | & e3w, & |
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| 62 | # endif |
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| 63 | # endif |
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| 64 | & tmask, & |
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| 65 | & lk_vvl, & |
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| 66 | & mig, & |
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| 67 | & mjg, & |
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| 68 | & nldi, & |
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| 69 | & nldj, & |
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| 70 | & nlei, & |
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| 71 | & nlej, & |
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| 72 | & rdttra |
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| 73 | USE zdf_oce , ONLY: & ! ocean vertical physics |
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| 74 | & avt, & |
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| 75 | & n_zdfexp |
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| 76 | #if defined key_zdfddm |
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| 77 | USE zdfddm , ONLY: & |
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| 78 | & avs |
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| 79 | #endif |
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| 80 | USE in_out_manager, ONLY: & ! I/O manager |
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| 81 | & lwp, & |
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| 82 | & numout, & |
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| 83 | & nitend, & |
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| 84 | & nit000 |
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| 85 | USE gridrandom , ONLY: & ! Random Gaussian noise on grids |
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| 86 | & grid_random |
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| 87 | USE dotprodfld , ONLY: & ! Computes dot product for 3D and 2D fields |
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| 88 | & dot_product |
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| 89 | USE paresp , ONLY: & ! Weights for an energy-type scalar product |
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| 90 | & wesp_t, & |
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| 91 | & wesp_s |
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| 92 | USE tstool_tam , ONLY: & |
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| 93 | & prntst_adj, & ! |
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| 94 | & stdt, & ! stdev for s-velocity |
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| 95 | & stds ! t-velocity |
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| 96 | |
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| 97 | #if defined key_obc |
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| 98 | USE obc_oce |
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| 99 | #endif |
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| 100 | |
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| 101 | IMPLICIT NONE |
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| 102 | PRIVATE |
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| 103 | |
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| 104 | PUBLIC tra_zdf_exp_tan ! routine called by tra_zdf_tan.F90 |
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| 105 | PUBLIC tra_zdf_exp_adj ! routine called by tra_zdf_adj.F90 |
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| 106 | PUBLIC tra_zdf_exp_adj_tst ! routine called by tst.F90 |
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| 107 | |
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| 108 | !! * Substitutions |
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| 109 | # include "domzgr_substitute.h90" |
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| 110 | # include "zdfddm_substitute.h90" |
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| 111 | # include "vectopt_loop_substitute.h90" |
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| 112 | !!---------------------------------------------------------------------- |
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| 113 | !! NEMO/OPA 3.0 , LOCEAN-IPSL (2008) |
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| 114 | !! $Id: trazdf_exp.F90 1146 2008-06-25 11:42:56Z rblod $ |
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| 115 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 116 | !!---------------------------------------------------------------------- |
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| 117 | |
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| 118 | CONTAINS |
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| 119 | |
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| 120 | SUBROUTINE tra_zdf_exp_tan( kt, p2dt ) |
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| 121 | !!---------------------------------------------------------------------- |
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| 122 | !! *** ROUTINE tra_zdf_exp_tan *** |
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| 123 | !! |
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| 124 | !! ** Purpose of the direct routine: |
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| 125 | !! Compute the after tracer fields due to the vertical |
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| 126 | !! tracer mixing alone, and then due to the whole tracer trend. |
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| 127 | !! |
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| 128 | !! ** Method of the direct routine : |
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| 129 | !! - The after tracer fields due to the vertical diffusion |
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| 130 | !! of tracers alone is given by: |
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| 131 | !! zwx = tb + p2dt difft |
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| 132 | !! where difft = dz( avt dz(tb) ) = 1/e3t dk+1( avt/e3w dk(tb) ) |
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| 133 | !! (if lk_zdfddm=T use avs on salinity instead of avt) |
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| 134 | !! difft is evaluated with an Euler split-explit scheme using a |
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| 135 | !! no flux boundary condition at both surface and bottomi boundaries. |
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| 136 | !! (N.B. bottom condition is applied through the masked field avt). |
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| 137 | !! - the after tracer fields due to the whole trend is |
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| 138 | !! obtained in leap-frog environment by : |
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| 139 | !! ta = zwx + p2dt ta |
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| 140 | !! - in case of variable level thickness (lk_vvl=T) the |
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| 141 | !! the leap-frog is applied on thickness weighted tracer. That is: |
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| 142 | !! ta = [ tb*e3tb + e3tn*( zwx - tb + p2dt ta ) ] / e3tn |
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| 143 | !! |
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| 144 | !! ** Action : - after tracer fields (ta,sa) |
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| 145 | !!--------------------------------------------------------------------- |
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| 146 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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| 147 | REAL(wp), INTENT(in), DIMENSION(jpk) :: p2dt ! vertical profile of tracer time-step |
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| 148 | !! |
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| 149 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 150 | REAL(wp) :: zlavmr, zave3r, ze3tr ! temporary scalars |
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| 151 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwxtl, zwytl, zwztl, zwwtl ! 3D workspace |
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| 152 | !!--------------------------------------------------------------------- |
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| 153 | |
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| 154 | IF( kt == nit000 ) THEN |
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| 155 | IF(lwp) WRITE(numout,*) |
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| 156 | IF(lwp) WRITE(numout,*) 'tra_zdf_exp_tan : explicit vertical mixing' |
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| 157 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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| 158 | ENDIF |
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| 159 | |
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| 160 | ! Initializations |
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| 161 | ! --------------- |
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| 162 | zlavmr = 1. / float( n_zdfexp ) ! Local constant |
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| 163 | ! |
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| 164 | zwytl(:,:, 1 ) = 0.e0 ; zwwtl(:,:, 1 ) = 0.e0 ! surface boundary conditions: no flux |
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| 165 | zwytl(:,:,jpk) = 0.e0 ; zwwtl(:,:,jpk) = 0.e0 ! bottom boundary conditions: no flux |
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| 166 | ! |
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| 167 | zwxtl(:,:,:) = tb_tl(:,:,:) ; zwztl(:,:,:) = sb_tl(:,:,:) ! zwx and zwz arrays set to before tracer values |
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| 168 | |
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| 169 | ! Split-explicit loop (after tracer due to the vertical diffusion alone) |
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| 170 | ! ------------------- |
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| 171 | ! |
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| 172 | DO jl = 1, n_zdfexp |
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| 173 | ! ! first vertical derivative |
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| 174 | DO jk = 2, jpk |
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| 175 | DO jj = 2, jpjm1 |
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| 176 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 177 | zave3r = 1.e0 / fse3w(ji,jj,jk) |
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| 178 | zwytl(ji,jj,jk) = avt(ji,jj,jk) * ( zwxtl(ji,jj,jk-1) - zwxtl(ji,jj,jk) ) * zave3r |
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| 179 | zwwtl(ji,jj,jk) = fsavs(ji,jj,jk) * ( zwztl(ji,jj,jk-1) - zwztl(ji,jj,jk) ) * zave3r |
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| 180 | END DO |
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| 181 | END DO |
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| 182 | END DO |
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| 183 | ! |
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| 184 | DO jk = 1, jpkm1 ! second vertical derivative ==> tracer at kt+l*2*rdt/n_zdfexp |
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| 185 | DO jj = 2, jpjm1 |
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| 186 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 187 | ze3tr = zlavmr / fse3t(ji,jj,jk) |
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| 188 | zwxtl(ji,jj,jk) = zwxtl(ji,jj,jk) + p2dt(jk) * ( zwytl(ji,jj,jk) - zwytl(ji,jj,jk+1) ) * ze3tr |
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| 189 | zwztl(ji,jj,jk) = zwztl(ji,jj,jk) + p2dt(jk) * ( zwwtl(ji,jj,jk) - zwwtl(ji,jj,jk+1) ) * ze3tr |
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| 190 | END DO |
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| 191 | END DO |
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| 192 | END DO |
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| 193 | ! |
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| 194 | END DO |
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| 195 | |
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| 196 | ! After tracer due to all trends |
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| 197 | ! ------------------------------ |
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| 198 | IF( lk_vvl ) THEN ! variable level thickness : leap-frog on tracer*e3t |
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| 199 | IF(lwp) WRITE(numout,*) "key_vvl net available in tangent yet" |
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| 200 | CALL abort |
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| 201 | ELSE ! fixed level thickness : leap-frog on tracers |
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| 202 | DO jk = 1, jpkm1 |
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| 203 | DO jj = 2, jpjm1 |
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| 204 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 205 | ta_tl(ji,jj,jk) = ( zwxtl(ji,jj,jk) + p2dt(jk) * ta_tl(ji,jj,jk) ) *tmask(ji,jj,jk) |
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| 206 | sa_tl(ji,jj,jk) = ( zwztl(ji,jj,jk) + p2dt(jk) * sa_tl(ji,jj,jk) ) *tmask(ji,jj,jk) |
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| 207 | END DO |
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| 208 | END DO |
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| 209 | END DO |
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| 210 | ENDIF |
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| 211 | ! |
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| 212 | END SUBROUTINE tra_zdf_exp_tan |
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| 213 | |
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| 214 | SUBROUTINE tra_zdf_exp_adj( kt, p2dt ) |
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| 215 | !!---------------------------------------------------------------------- |
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| 216 | !! *** ROUTINE tra_zdf_exp_adj *** |
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| 217 | !! |
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| 218 | !! ** Purpose of the direct routine: |
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| 219 | !! Compute the after tracer fields due to the vertical |
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| 220 | !! tracer mixing alone, and then due to the whole tracer trend. |
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| 221 | !! |
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| 222 | !! ** Method of the direct routine : |
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| 223 | !! - The after tracer fields due to the vertical diffusion |
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| 224 | !! of tracers alone is given by: |
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| 225 | !! zwx = tb + p2dt difft |
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| 226 | !! where difft = dz( avt dz(tb) ) = 1/e3t dk+1( avt/e3w dk(tb) ) |
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| 227 | !! (if lk_zdfddm=T use avs on salinity instead of avt) |
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| 228 | !! difft is evaluated with an Euler split-explit scheme using a |
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| 229 | !! no flux boundary condition at both surface and bottomi boundaries. |
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| 230 | !! (N.B. bottom condition is applied through the masked field avt). |
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| 231 | !! - the after tracer fields due to the whole trend is |
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| 232 | !! obtained in leap-frog environment by : |
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| 233 | !! ta = zwx + p2dt ta |
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| 234 | !! - in case of variable level thickness (lk_vvl=T) the |
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| 235 | !! the leap-frog is applied on thickness weighted tracer. That is: |
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| 236 | !! ta = [ tb*e3tb + e3tn*( zwx - tb + p2dt ta ) ] / e3tn |
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| 237 | !! |
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| 238 | !! ** Action : - after tracer fields (ta,sa) |
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| 239 | !!--------------------------------------------------------------------- |
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| 240 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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| 241 | REAL(wp), INTENT(in), DIMENSION(jpk) :: p2dt ! vertical profile of tracer time-step |
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| 242 | !! |
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| 243 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 244 | REAL(wp) :: zlavmr, zave3r, ze3tr ! temporary scalars |
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| 245 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwxad, zwyad, zwzad, zwwad ! 3D workspace |
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| 246 | !!--------------------------------------------------------------------- |
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| 247 | |
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| 248 | IF( kt == nit000 ) THEN |
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| 249 | IF(lwp) WRITE(numout,*) |
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| 250 | IF(lwp) WRITE(numout,*) 'tra_zdf_exp_adj : explicit vertical mixing' |
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| 251 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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| 252 | ENDIF |
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| 253 | |
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| 254 | ! Initializations |
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| 255 | ! --------------- |
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| 256 | zlavmr = 1. / float( n_zdfexp ) ! Local constant |
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| 257 | ! |
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| 258 | zwwad(:,:,:) = 0.0_wp ; zwxad(:,:,:) = 0.0_wp |
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| 259 | zwyad(:,:,:) = 0.0_wp ; zwzad(:,:,:) = 0.0_wp |
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| 260 | ! After tracer due to all trends |
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| 261 | ! ------------------------------ |
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| 262 | IF( lk_vvl ) THEN ! variable level thickness : leap-frog on tracer*e3t |
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| 263 | IF(lwp) WRITE(numout,*) "key_vvl net available in adjoint yet" |
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| 264 | CALL abort |
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| 265 | ELSE ! fixed level thickness : leap-frog on tracers |
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| 266 | DO jk = 1, jpkm1 |
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| 267 | DO jj = 2, jpjm1 |
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| 268 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 269 | zwxad(ji,jj,jk) = zwxad(ji,jj,jk) + ta_ad(ji,jj,jk) * tmask(ji,jj,jk) |
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| 270 | ta_ad(ji,jj,jk) = p2dt(jk) * ta_ad(ji,jj,jk) * tmask(ji,jj,jk) |
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| 271 | zwzad(ji,jj,jk) = zwzad(ji,jj,jk) + sa_ad(ji,jj,jk) * tmask(ji,jj,jk) |
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| 272 | sa_ad(ji,jj,jk) = p2dt(jk) * sa_ad(ji,jj,jk) * tmask(ji,jj,jk) |
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| 273 | END DO |
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| 274 | END DO |
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| 275 | END DO |
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| 276 | ENDIF |
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| 277 | ! |
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| 278 | |
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| 279 | ! Split-explicit loop (after tracer due to the vertical diffusion alone) |
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| 280 | ! ------------------- |
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| 281 | ! |
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| 282 | DO jl = 1, n_zdfexp |
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| 283 | DO jk = jpkm1, 1, -1 ! second vertical derivative ==> tracer at kt+l*2*rdt/n_zdfexp |
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| 284 | DO jj = 2, jpjm1 |
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| 285 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 286 | ze3tr = zlavmr / fse3t(ji,jj,jk) |
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| 287 | zwyad(ji,jj,jk ) = zwyad(ji,jj,jk ) + p2dt(jk) * zwxad(ji,jj,jk) * ze3tr |
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| 288 | zwyad(ji,jj,jk+1) = zwyad(ji,jj,jk+1) - p2dt(jk) * zwxad(ji,jj,jk) * ze3tr |
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| 289 | zwwad(ji,jj,jk ) = zwwad(ji,jj,jk ) + p2dt(jk) * zwzad(ji,jj,jk) * ze3tr |
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| 290 | zwwad(ji,jj,jk+1) = zwwad(ji,jj,jk+1) - p2dt(jk) * zwzad(ji,jj,jk) * ze3tr |
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| 291 | END DO |
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| 292 | END DO |
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| 293 | END DO |
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| 294 | ! ! first vertical derivative |
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| 295 | DO jk = jpk, 2, -1 |
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| 296 | DO jj = 2, jpjm1 |
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| 297 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 298 | zave3r = 1.e0 / fse3w(ji,jj,jk) |
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| 299 | zwxad(ji,jj,jk-1) = zwxad(ji,jj,jk-1) + avt(ji,jj,jk) * zwyad(ji,jj,jk) * zave3r |
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| 300 | zwxad(ji,jj,jk ) = zwxad(ji,jj,jk ) - avt(ji,jj,jk) * zwyad(ji,jj,jk) * zave3r |
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| 301 | zwyad(ji,jj,jk ) = 0.0_wp |
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| 302 | zwzad(ji,jj,jk-1) = zwzad(ji,jj,jk-1) + fsavs(ji,jj,jk) * zwwad(ji,jj,jk) * zave3r |
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| 303 | zwzad(ji,jj,jk ) = zwzad(ji,jj,jk ) - fsavs(ji,jj,jk) * zwwad(ji,jj,jk) * zave3r |
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| 304 | zwwad(ji,jj,jk ) = 0.0_wp |
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| 305 | END DO |
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| 306 | END DO |
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| 307 | END DO |
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| 308 | ! |
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| 309 | ! |
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| 310 | END DO |
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| 311 | |
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| 312 | tb_ad(:,:,:) = tb_ad(:,:,:) + zwxad(:,:,:) |
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| 313 | sb_ad(:,:,:) = sb_ad(:,:,:) + zwzad(:,:,:) |
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| 314 | |
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| 315 | END SUBROUTINE tra_zdf_exp_adj |
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| 316 | |
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| 317 | SUBROUTINE tra_zdf_exp_adj_tst( kumadt ) |
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| 318 | !!----------------------------------------------------------------------- |
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| 319 | !! |
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| 320 | !! *** ROUTINE tra_zdf_exp_adj_tst *** |
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| 321 | !! |
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| 322 | !! ** Purpose : Test the adjoint routine. |
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| 323 | !! |
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| 324 | !! ** Method : Verify the scalar product |
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| 325 | !! |
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| 326 | !! ( L dx )^T W dy = dx^T L^T W dy |
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| 327 | !! |
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| 328 | !! where L = tangent routine |
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| 329 | !! L^T = adjoint routine |
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| 330 | !! W = diagonal matrix of scale factors |
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| 331 | !! dx = input perturbation (random field) |
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| 332 | !! dy = L dx |
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| 333 | !! |
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| 334 | !! |
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| 335 | !! History : |
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| 336 | !! ! 08-08 (A. Vidard) |
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| 337 | !!----------------------------------------------------------------------- |
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| 338 | !! * Modules used |
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| 339 | |
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| 340 | !! * Arguments |
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| 341 | INTEGER, INTENT(IN) :: & |
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| 342 | & kumadt ! Output unit |
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| 343 | |
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| 344 | !! * Local declarations |
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| 345 | INTEGER :: & |
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| 346 | & ji, & ! dummy loop indices |
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| 347 | & jj, & |
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| 348 | & jk |
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| 349 | INTEGER, DIMENSION(jpi,jpj) :: & |
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| 350 | & iseed_2d ! 2D seed for the random number generator |
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| 351 | REAL(KIND=wp) :: & |
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| 352 | & zsp1, & ! scalar product involving the tangent routine |
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| 353 | & zsp2 ! scalar product involving the adjoint routine |
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| 354 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
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| 355 | & zta_tlin , & ! Tangent input |
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| 356 | & ztb_tlin , & ! Tangent input |
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| 357 | #if defined key_obc |
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| 358 | & ztb_tlout, zsb_tlout, ztb_adin, zsb_adin, & |
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| 359 | #endif |
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| 360 | & zsa_tlin , & ! Tangent input |
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| 361 | & zsb_tlin , & ! Tangent input |
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| 362 | & zta_tlout, & ! Tangent output |
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| 363 | & zsa_tlout, & ! Tangent output |
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| 364 | & zta_adin , & ! Adjoint input |
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| 365 | & zsa_adin , & ! Adjoint input |
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| 366 | & zta_adout, & ! Adjoint output |
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| 367 | & ztb_adout, & ! Adjoint output |
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| 368 | & zsa_adout, & ! Adjoint output |
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| 369 | & zsb_adout, & ! Adjoint output |
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| 370 | & zr ! 3D random field |
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| 371 | CHARACTER(LEN=14) :: cl_name |
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| 372 | ! Allocate memory |
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| 373 | |
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| 374 | ALLOCATE( & |
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| 375 | & zta_tlin( jpi,jpj,jpk), & |
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| 376 | & zsa_tlin( jpi,jpj,jpk), & |
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| 377 | & ztb_tlin( jpi,jpj,jpk), & |
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| 378 | & zsb_tlin( jpi,jpj,jpk), & |
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| 379 | & zta_tlout(jpi,jpj,jpk), & |
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| 380 | & zsa_tlout(jpi,jpj,jpk), & |
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| 381 | & zta_adin( jpi,jpj,jpk), & |
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| 382 | & zsa_adin( jpi,jpj,jpk), & |
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| 383 | & zta_adout(jpi,jpj,jpk), & |
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| 384 | & zsa_adout(jpi,jpj,jpk), & |
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| 385 | & ztb_adout(jpi,jpj,jpk), & |
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| 386 | & zsb_adout(jpi,jpj,jpk), & |
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| 387 | & zr( jpi,jpj,jpk) & |
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| 388 | & ) |
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| 389 | |
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| 390 | #if defined key_obc |
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| 391 | ALLOCATE( ztb_tlout(jpi,jpj,jpk), zsb_tlout(jpi,jpj,jpk), & |
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| 392 | & ztb_adin (jpi,jpj,jpk), zsb_adin (jpi,jpj,jpk) ) |
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| 393 | #endif |
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| 394 | |
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| 395 | !================================================================== |
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| 396 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
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| 397 | ! dy = ( hdivb_tl, hdivn_tl ) |
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| 398 | !================================================================== |
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| 399 | |
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| 400 | !-------------------------------------------------------------------- |
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| 401 | ! Reset the tangent and adjoint variables |
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| 402 | !-------------------------------------------------------------------- |
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| 403 | zta_tlin( :,:,:) = 0.0_wp |
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| 404 | ztb_tlin( :,:,:) = 0.0_wp |
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| 405 | zsa_tlin( :,:,:) = 0.0_wp |
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| 406 | zsb_tlin( :,:,:) = 0.0_wp |
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| 407 | zta_tlout(:,:,:) = 0.0_wp |
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| 408 | zsa_tlout(:,:,:) = 0.0_wp |
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| 409 | zta_adin( :,:,:) = 0.0_wp |
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| 410 | zsa_adin( :,:,:) = 0.0_wp |
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| 411 | zta_adout(:,:,:) = 0.0_wp |
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| 412 | zsa_adout(:,:,:) = 0.0_wp |
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| 413 | ztb_adout(:,:,:) = 0.0_wp |
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| 414 | zsb_adout(:,:,:) = 0.0_wp |
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| 415 | zr( :,:,:) = 0.0_wp |
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| 416 | !-------------------------------------------------------------------- |
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| 417 | ! Initialize the tangent input with random noise: dx |
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| 418 | !-------------------------------------------------------------------- |
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| 419 | |
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| 420 | DO jj = 1, jpj |
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| 421 | DO ji = 1, jpi |
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| 422 | iseed_2d(ji,jj) = - ( 596035 + & |
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| 423 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
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| 424 | END DO |
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| 425 | END DO |
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| 426 | CALL grid_random( iseed_2d, zr, 'T', 0.0_wp, stdt ) |
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| 427 | DO jk = 1, jpk |
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| 428 | DO jj = nldj, nlej |
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| 429 | DO ji = nldi, nlei |
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| 430 | zta_tlin(ji,jj,jk) = zr(ji,jj,jk) |
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| 431 | END DO |
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| 432 | END DO |
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| 433 | END DO |
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| 434 | |
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| 435 | DO jj = 1, jpj |
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| 436 | DO ji = 1, jpi |
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| 437 | iseed_2d(ji,jj) = - ( 352791 + & |
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| 438 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
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| 439 | END DO |
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| 440 | END DO |
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| 441 | CALL grid_random( iseed_2d, zr, 'T', 0.0_wp, stdt ) |
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| 442 | DO jk = 1, jpk |
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| 443 | DO jj = nldj, nlej |
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| 444 | DO ji = nldi, nlei |
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| 445 | ztb_tlin(ji,jj,jk) = zr(ji,jj,jk) |
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| 446 | END DO |
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| 447 | END DO |
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| 448 | END DO |
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| 449 | |
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| 450 | DO jj = 1, jpj |
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| 451 | DO ji = 1, jpi |
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| 452 | iseed_2d(ji,jj) = - ( 142746 + & |
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| 453 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
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| 454 | END DO |
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| 455 | END DO |
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| 456 | CALL grid_random( iseed_2d, zr, 'T', 0.0_wp, stds ) |
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| 457 | DO jk = 1, jpk |
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| 458 | DO jj = nldj, nlej |
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| 459 | DO ji = nldi, nlei |
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| 460 | zsa_tlin(ji,jj,jk) = zr(ji,jj,jk) |
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| 461 | END DO |
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| 462 | END DO |
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| 463 | END DO |
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| 464 | DO jj = 1, jpj |
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| 465 | DO ji = 1, jpi |
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| 466 | iseed_2d(ji,jj) = - ( 214934 + & |
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| 467 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
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| 468 | END DO |
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| 469 | END DO |
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| 470 | CALL grid_random( iseed_2d, zr, 'T', 0.0_wp, stds ) |
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| 471 | DO jk = 1, jpk |
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| 472 | DO jj = nldj, nlej |
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| 473 | DO ji = nldi, nlei |
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| 474 | zsb_tlin(ji,jj,jk) = zr(ji,jj,jk) |
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| 475 | END DO |
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| 476 | END DO |
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| 477 | END DO |
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| 478 | ta_tl(:,:,:) = zta_tlin(:,:,:) |
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| 479 | sa_tl(:,:,:) = zsa_tlin(:,:,:) |
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| 480 | tb_tl(:,:,:) = ztb_tlin(:,:,:) |
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| 481 | sb_tl(:,:,:) = zsb_tlin(:,:,:) |
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| 482 | CALL tra_zdf_exp_tan ( nit000, rdttra ) |
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| 483 | zta_tlout(:,:,:) = ta_tl(:,:,:) |
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| 484 | zsa_tlout(:,:,:) = sa_tl(:,:,:) |
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| 485 | #if defined key_obc |
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| 486 | ztb_tlout(:,:,:) = tb_tl(:,:,:) |
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| 487 | zsb_tlout(:,:,:) = sb_tl(:,:,:) |
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| 488 | #endif |
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| 489 | |
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| 490 | !-------------------------------------------------------------------- |
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| 491 | ! Initialize the adjoint variables: dy^* = W dy |
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| 492 | !-------------------------------------------------------------------- |
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| 493 | |
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| 494 | DO jk = 1, jpk |
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| 495 | DO jj = nldj, nlej |
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| 496 | DO ji = nldi, nlei |
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| 497 | zta_adin(ji,jj,jk) = zta_tlout(ji,jj,jk) & |
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| 498 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
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| 499 | & * tmask(ji,jj,jk) * wesp_t(jk) |
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| 500 | zsa_adin(ji,jj,jk) = zsa_tlout(ji,jj,jk) & |
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| 501 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
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| 502 | & * tmask(ji,jj,jk) * wesp_s(jk) |
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| 503 | #if defined key_obc |
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| 504 | ztb_adin(ji,jj,jk) = ztb_tlout(ji,jj,jk) & |
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| 505 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
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| 506 | & * tmask(ji,jj,jk) * wesp_t(jk) |
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| 507 | zsb_adin(ji,jj,jk) = zsb_tlout(ji,jj,jk) & |
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| 508 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
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| 509 | & * tmask(ji,jj,jk) * wesp_s(jk) |
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| 510 | |
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| 511 | #endif |
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| 512 | END DO |
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| 513 | END DO |
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| 514 | END DO |
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| 515 | !-------------------------------------------------------------------- |
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| 516 | ! Compute the scalar product: ( L dx )^T W dy |
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| 517 | !-------------------------------------------------------------------- |
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| 518 | |
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| 519 | zsp1 = DOT_PRODUCT( zta_tlout, zta_adin ) & |
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| 520 | & + DOT_PRODUCT( zsa_tlout, zsa_adin ) |
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| 521 | |
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| 522 | #if defined key_obc |
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| 523 | zsp1 = zsp1 + DOT_PRODUCT( ztb_tlout, ztb_adin ) & |
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| 524 | & + DOT_PRODUCT( zsb_tlout, zsb_adin ) |
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| 525 | #endif |
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| 526 | |
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| 527 | !-------------------------------------------------------------------- |
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| 528 | ! Call the adjoint routine: dx^* = L^T dy^* |
|---|
| 529 | !-------------------------------------------------------------------- |
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| 530 | |
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| 531 | ta_ad(:,:,:) = zta_adin(:,:,:) |
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| 532 | sa_ad(:,:,:) = zsa_adin(:,:,:) |
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| 533 | |
|---|
| 534 | #if defined key_obc |
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| 535 | tb_ad(:,:,:) = ztb_adin(:,:,:) |
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| 536 | sb_ad(:,:,:) = zsb_adin(:,:,:) |
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| 537 | #endif |
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| 538 | |
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| 539 | CALL tra_zdf_exp_adj ( nit000, rdttra ) |
|---|
| 540 | |
|---|
| 541 | zta_adout(:,:,:) = ta_ad(:,:,:) |
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| 542 | zsa_adout(:,:,:) = sa_ad(:,:,:) |
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| 543 | ztb_adout(:,:,:) = tb_ad(:,:,:) |
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| 544 | zsb_adout(:,:,:) = sb_ad(:,:,:) |
|---|
| 545 | |
|---|
| 546 | zsp2 = DOT_PRODUCT( zta_tlin, zta_adout ) & |
|---|
| 547 | & + DOT_PRODUCT( zsa_tlin, zsa_adout ) & |
|---|
| 548 | & + DOT_PRODUCT( ztb_tlin, ztb_adout ) & |
|---|
| 549 | & + DOT_PRODUCT( zsb_tlin, zsb_adout ) |
|---|
| 550 | |
|---|
| 551 | ! 14 char:'12345678901234' |
|---|
| 552 | cl_name = 'trazdf_exp_adj' |
|---|
| 553 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
|---|
| 554 | |
|---|
| 555 | DEALLOCATE( & |
|---|
| 556 | & zta_tlin, & |
|---|
| 557 | & ztb_tlin, & |
|---|
| 558 | & zsa_tlin, & |
|---|
| 559 | & zsb_tlin, & |
|---|
| 560 | & zta_tlout, & |
|---|
| 561 | & zsa_tlout, & |
|---|
| 562 | & zta_adin, & |
|---|
| 563 | & zsa_adin, & |
|---|
| 564 | & zta_adout, & |
|---|
| 565 | & ztb_adout, & |
|---|
| 566 | & zsa_adout, & |
|---|
| 567 | & zsb_adout, & |
|---|
| 568 | & zr & |
|---|
| 569 | & ) |
|---|
| 570 | |
|---|
| 571 | |
|---|
| 572 | |
|---|
| 573 | END SUBROUTINE tra_zdf_exp_adj_tst |
|---|
| 574 | |
|---|
| 575 | !!============================================================================== |
|---|
| 576 | #endif |
|---|
| 577 | END MODULE trazdf_exp_tam |
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