| 1 | MODULE dynhpg_tam |
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| 2 | #ifdef key_tam |
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| 3 | !!====================================================================== |
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| 4 | !! *** MODULE dynhpg_tam *** |
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| 5 | !! Ocean dynamics: hydrostatic pressure gradient trend |
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| 6 | !! Tangent and Adjoint module |
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| 7 | !!====================================================================== |
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| 8 | !! History of the direct module: |
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| 9 | !! 1.0 ! 87-09 (P. Andrich, M.-A. Foujols) hpg_zco: Original code |
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| 10 | !! 5.0 ! 91-11 (G. Madec) |
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| 11 | !! 7.0 ! 96-01 (G. Madec) hpg_sco: Original code for s-coordinates |
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| 12 | !! 8.0 ! 97-05 (G. Madec) split dynber into dynkeg and dynhpg |
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| 13 | !! 8.5 ! 02-07 (G. Madec) F90: Free form and module |
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| 14 | !! 8.5 ! 02-08 (A. Bozec) hpg_zps: Original code |
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| 15 | !! 9.0 ! 05-10 (A. Beckmann, B.W. An) various s-coordinate options |
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| 16 | !! Original code for hpg_ctl, hpg_hel hpg_wdj, hpg_djc, hpg_rot |
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| 17 | !! 9.0 ! 05-11 (G. Madec) style & small optimisation |
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| 18 | !! History of the TAM module: |
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| 19 | !! 9.0 ! 08-06 (A. Vidard) Skeleton |
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| 20 | !! ! 08-11 (A. Vidard) Nemo v3 |
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| 21 | !! ! 12-07 (P.-A. Bouttier) 3.4 version |
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| 22 | !!---------------------------------------------------------------------- |
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| 23 | |
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| 24 | !!---------------------------------------------------------------------- |
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| 25 | !! dyn_hpg : update the momentum trend with the now horizontal |
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| 26 | !! gradient of the hydrostatic pressure |
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| 27 | !! hpg_ctl : initialisation and control of options |
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| 28 | !! hpg_zco : z-coordinate scheme |
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| 29 | !! hpg_zps : z-coordinate plus partial steps (interpolation) |
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| 30 | !! hpg_sco : s-coordinate (standard jacobian formulation) |
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| 31 | !! hpg_hel : s-coordinate (helsinki modification) |
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| 32 | !! hpg_wdj : s-coordinate (weighted density jacobian) |
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| 33 | !! hpg_djc : s-coordinate (Density Jacobian with Cubic polynomial) |
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| 34 | !! hpg_rot : s-coordinate (ROTated axes scheme) |
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| 35 | !!---------------------------------------------------------------------- |
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| 36 | USE par_kind |
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| 37 | USE par_oce |
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| 38 | USE oce_tam |
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| 39 | USE dom_oce |
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| 40 | USE dynhpg |
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| 41 | USE phycst |
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| 42 | USE in_out_manager |
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| 43 | USE gridrandom |
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| 44 | USE dotprodfld |
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| 45 | USE tstool_tam |
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| 46 | USE lib_mpp |
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| 47 | USE wrk_nemo |
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| 48 | USE timing |
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| 49 | |
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| 50 | IMPLICIT NONE |
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| 51 | PRIVATE |
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| 52 | |
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| 53 | PUBLIC dyn_hpg_tan ! routine called by step_tam module |
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| 54 | PUBLIC dyn_hpg_adj ! routine called by step_tam module |
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| 55 | PUBLIC dyn_hpg_init_tam |
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| 56 | PUBLIC dyn_hpg_adj_tst! routine called by test module |
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| 57 | |
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| 58 | !! * Substitutions |
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| 59 | # include "domzgr_substitute.h90" |
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| 60 | # include "vectopt_loop_substitute.h90" |
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| 61 | |
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| 62 | CONTAINS |
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| 63 | |
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| 64 | SUBROUTINE dyn_hpg_tan( kt ) |
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| 65 | !!--------------------------------------------------------------------- |
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| 66 | !! *** ROUTINE dyn_hpg_tan *** |
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| 67 | !! |
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| 68 | !! ** Method of the direct routine: |
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| 69 | !! Call the hydrostatic pressure gradient routine |
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| 70 | !! using the scheme defined in the namelist |
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| 71 | !! |
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| 72 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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| 73 | !! - Save the trend (l_trddyn=T) |
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| 74 | !!---------------------------------------------------------------------- |
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| 75 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 76 | !! |
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| 77 | !!---------------------------------------------------------------------- |
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| 78 | ! |
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| 79 | IF( nn_timing == 1 ) CALL timing_start('dyn_hpg_tan') |
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| 80 | ! |
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| 81 | SELECT CASE ( nhpg ) ! Hydrastatic pressure gradient computation |
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| 82 | CASE ( 0 ) ; CALL hpg_zco_tan ( kt ) ! z-coordinate |
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| 83 | CASE ( 1 ) ; CALL hpg_zps_tan ( kt ) ! z-coordinate plus partial steps (interpolation) |
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| 84 | CASE ( 2 ) ; CALL hpg_sco_tan ( kt ) ! s-coordinate (standard jacobian formulation) |
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| 85 | CASE ( 3 ) ; CALL hpg_djc_tan ( kt ) ! s-coordinate (helsinki modification) |
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| 86 | CASE ( 4 ) ; CALL hpg_prj_tan ( kt ) ! s-coordinate (weighted density jacobian) |
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| 87 | END SELECT |
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| 88 | ! |
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| 89 | IF( nn_timing == 1 ) CALL timing_stop('dyn_hpg_tan') |
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| 90 | ! |
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| 91 | END SUBROUTINE dyn_hpg_tan |
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| 92 | SUBROUTINE dyn_hpg_adj( kt ) |
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| 93 | !!--------------------------------------------------------------------- |
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| 94 | !! *** ROUTINE dyn_hpg_adj *** |
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| 95 | !! |
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| 96 | !! ** Method of the direct routine: |
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| 97 | !! call the hydrostatic pressure gradient routine |
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| 98 | !! using the scheme defined in the namelist |
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| 99 | !! |
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| 100 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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| 101 | !! - Save the trend (l_trddyn=T) |
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| 102 | !!---------------------------------------------------------------------- |
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| 103 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 104 | !! |
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| 105 | !!---------------------------------------------------------------------- |
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| 106 | ! |
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| 107 | IF( nn_timing == 1 ) CALL timing_start('dyn_hpg_adj') |
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| 108 | ! |
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| 109 | SELECT CASE ( nhpg ) ! Hydrastatic pressure gradient computation |
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| 110 | CASE ( 0 ) ; CALL hpg_zco_adj ( kt ) ! z-coordinate |
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| 111 | CASE ( 1 ) ; CALL hpg_zps_adj ( kt ) ! z-coordinate plus partial steps (interpolation) |
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| 112 | CASE ( 2 ) ; CALL hpg_sco_adj ( kt ) ! s-coordinate (standard jacobian formulation) |
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| 113 | CASE ( 3 ) ; CALL hpg_djc_adj ( kt ) ! s-coordinate (helsinki modification) |
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| 114 | CASE ( 4 ) ; CALL hpg_prj_adj ( kt ) ! s-coordinate (weighted density jacobian) |
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| 115 | END SELECT |
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| 116 | ! |
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| 117 | IF( nn_timing == 1 ) CALL timing_stop('dyn_hpg_adj') |
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| 118 | ! |
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| 119 | END SUBROUTINE dyn_hpg_adj |
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| 120 | |
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| 121 | SUBROUTINE dyn_hpg_init_tam |
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| 122 | !!---------------------------------------------------------------------- |
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| 123 | !! *** ROUTINE hpg_ctl_tam *** |
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| 124 | !! |
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| 125 | !! ** Purpose : initializations for the hydrostatic pressure gradient |
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| 126 | !! computation and consistency control |
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| 127 | !! |
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| 128 | !! ** Action : Read the namelist namdyn_hpg and check the consistency |
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| 129 | !! with the type of vertical coordinate used (zco, zps, sco) |
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| 130 | !!---------------------------------------------------------------------- |
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| 131 | INTEGER :: ioptio = 0 ! temporary integer |
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| 132 | |
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| 133 | NAMELIST/namdyn_hpg/ ln_hpg_zco, ln_hpg_zps, ln_hpg_sco, & |
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| 134 | & ln_hpg_djc, ln_hpg_prj, ln_dynhpg_imp |
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| 135 | !!---------------------------------------------------------------------- |
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| 136 | |
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| 137 | REWIND ( numnam ) ! Read Namelist nam_dynhpg : pressure gradient calculation options |
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| 138 | READ ( numnam, namdyn_hpg ) |
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| 139 | |
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| 140 | IF(lwp) THEN ! Control print |
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| 141 | WRITE(numout,*) |
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| 142 | WRITE(numout,*) 'dyn_ctl_tam : hydrostatic pressure gradient' |
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| 143 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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| 144 | WRITE(numout,*) ' Namelist namdyn_hpg : choice of hpg scheme' |
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| 145 | WRITE(numout,*) ' z-coord. - full steps ln_hpg_zco = ', ln_hpg_zco |
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| 146 | WRITE(numout,*) ' z-coord. - partial steps (interpolation) ln_hpg_zps = ', ln_hpg_zps |
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| 147 | WRITE(numout,*) ' s-coord. (standard jacobian formulation) ln_hpg_sco = ', ln_hpg_sco |
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| 148 | WRITE(numout,*) ' s-coord. (Density Jacobian: Cubic polynomial) ln_hpg_djc = ', ln_hpg_djc |
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| 149 | WRITE(numout,*) ' s-coord. (Pressure Jacobian: Cubic polynomial) ln_hpg_prj = ', ln_hpg_prj |
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| 150 | WRITE(numout,*) ' time stepping: centered (F) or semi-implicit (T) ln_dynhpg_imp = ', ln_dynhpg_imp |
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| 151 | ENDIF |
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| 152 | ! |
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| 153 | IF( ln_hpg_djc ) & |
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| 154 | & CALL ctl_stop('dyn_hpg_init_tam : Density Jacobian: Cubic polynominal method & |
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| 155 | & currently disabled (bugs under investigation). Please select & |
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| 156 | & either ln_hpg_sco or ln_hpg_prj instead') |
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| 157 | IF( lk_vvl .AND. .NOT. ln_hpg_sco ) THEN |
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| 158 | CALL ctl_stop( 'dyn_hpg_init_tam : variable volume key_vvl compatible only with the standard jacobian formulation hpg_sco') |
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| 159 | ENDIF |
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| 160 | ! ! Set nhpg from ln_hpg_... flags |
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| 161 | IF( ln_hpg_zco ) nhpg = 0 |
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| 162 | IF( ln_hpg_zps ) nhpg = 1 |
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| 163 | IF( ln_hpg_sco ) nhpg = 2 |
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| 164 | IF( ln_hpg_djc ) nhpg = 3 |
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| 165 | IF( ln_hpg_prj ) nhpg = 4 |
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| 166 | ! ! Consitency check |
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| 167 | ioptio = 0 |
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| 168 | IF( ln_hpg_zco ) ioptio = ioptio + 1 |
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| 169 | IF( ln_hpg_zps ) ioptio = ioptio + 1 |
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| 170 | IF( ln_hpg_sco ) ioptio = ioptio + 1 |
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| 171 | IF( ln_hpg_djc ) ioptio = ioptio + 1 |
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| 172 | IF( ln_hpg_prj ) ioptio = ioptio + 1 |
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| 173 | IF ( ioptio /= 1 ) CALL ctl_stop( ' NO or several hydrostatic pressure gradient options used' ) |
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| 174 | ! |
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| 175 | END SUBROUTINE dyn_hpg_init_tam |
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| 176 | SUBROUTINE hpg_zco_tan( kt ) |
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| 177 | !!--------------------------------------------------------------------- |
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| 178 | !! *** ROUTINE hpg_zco_tan *** |
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| 179 | !! |
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| 180 | !! ** Method of the direct routine: |
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| 181 | !! z-coordinate case, levels are horizontal surfaces. |
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| 182 | !! The now hydrostatic pressure gradient at a given level, jk, |
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| 183 | !! is computed by taking the vertical integral of the in-situ |
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| 184 | !! density gradient along the model level from the suface to that |
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| 185 | !! level: zhpi = grav ..... |
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| 186 | !! zhpj = grav ..... |
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| 187 | !! add it to the general momentum trend (ua,va). |
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| 188 | !! ua = ua - 1/e1u * zhpi |
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| 189 | !! va = va - 1/e2v * zhpj |
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| 190 | !! |
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| 191 | !! ** Action : - Update (ua_tl,va_tl) with the now hydrastatic pressure trend |
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| 192 | !!---------------------------------------------------------------------- |
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| 193 | !! |
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| 194 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 195 | !! |
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| 196 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 197 | REAL(wp) :: zcoef0, zcoef1 ! temporary scalars |
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| 198 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zhpitl, zhpjtl |
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| 199 | !!---------------------------------------------------------------------- |
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| 200 | ! |
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| 201 | CALL wrk_alloc( jpi,jpj,jpk, zhpitl, zhpjtl ) |
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| 202 | ! |
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| 203 | IF( kt == nit000 ) THEN |
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| 204 | IF(lwp) WRITE(numout,*) |
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| 205 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zco_tan : hydrostatic pressure gradient trend' |
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| 206 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinate case ' |
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| 207 | ENDIF |
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| 208 | ! Local constant initialization |
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| 209 | zcoef0 = - grav * 0.5_wp |
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| 210 | ! Surface value |
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| 211 | DO jj = 2, jpjm1 |
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| 212 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 213 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
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| 214 | ! hydrostatic pressure gradient |
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| 215 | zhpitl(ji,jj,1) = zcoef1 * ( rhd_tl(ji+1,jj ,1) - rhd_tl(ji,jj,1) ) / e1u(ji,jj) |
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| 216 | zhpjtl(ji,jj,1) = zcoef1 * ( rhd_tl(ji ,jj+1,1) - rhd_tl(ji,jj,1) ) / e2v(ji,jj) |
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| 217 | ! add to the general momentum trend |
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| 218 | ua_tl(ji,jj,1) = ua_tl(ji,jj,1) + zhpitl(ji,jj,1) |
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| 219 | va_tl(ji,jj,1) = va_tl(ji,jj,1) + zhpjtl(ji,jj,1) |
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| 220 | END DO |
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| 221 | END DO |
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| 222 | ! |
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| 223 | ! interior value (2=<jk=<jpkm1) |
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| 224 | DO jk = 2, jpkm1 |
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| 225 | DO jj = 2, jpjm1 |
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| 226 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 227 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
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| 228 | ! hydrostatic pressure gradient |
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| 229 | zhpitl(ji,jj,jk) = zhpitl(ji,jj,jk-1) & |
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| 230 | & + zcoef1 * ( ( rhd_tl(ji+1,jj,jk)+rhd_tl(ji+1,jj,jk-1) ) & |
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| 231 | & - ( rhd_tl(ji ,jj,jk)+rhd_tl(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
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| 232 | |
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| 233 | zhpjtl(ji,jj,jk) = zhpjtl(ji,jj,jk-1) & |
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| 234 | & + zcoef1 * ( ( rhd_tl(ji,jj+1,jk)+rhd_tl(ji,jj+1,jk-1) ) & |
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| 235 | & - ( rhd_tl(ji,jj, jk)+rhd_tl(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
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| 236 | ! add to the general momentum trend |
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| 237 | ua_tl(ji,jj,jk) = ua_tl(ji,jj,jk) + zhpitl(ji,jj,jk) |
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| 238 | va_tl(ji,jj,jk) = va_tl(ji,jj,jk) + zhpjtl(ji,jj,jk) |
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| 239 | END DO |
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| 240 | END DO |
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| 241 | END DO |
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| 242 | ! |
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| 243 | CALL wrk_dealloc( jpi,jpj,jpk, zhpitl, zhpjtl ) |
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| 244 | ! |
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| 245 | END SUBROUTINE hpg_zco_tan |
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| 246 | SUBROUTINE hpg_zco_adj( kt ) |
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| 247 | !!--------------------------------------------------------------------- |
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| 248 | !! *** ROUTINE hpg_zco_tan *** |
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| 249 | !! |
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| 250 | !! ** Method of the direct routine: |
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| 251 | !! z-coordinate case, levels are horizontal surfaces. |
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| 252 | !! The now hydrostatic pressure gradient at a given level, jk, |
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| 253 | !! is computed by taking the vertical integral of the in-situ |
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| 254 | !! density gradient along the model level from the suface to that |
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| 255 | !! level: zhpi = grav ..... |
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| 256 | !! zhpj = grav ..... |
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| 257 | !! add it to the general momentum trend (ua,va). |
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| 258 | !! ua = ua - 1/e1u * zhpi |
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| 259 | !! va = va - 1/e2v * zhpj |
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| 260 | !! |
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| 261 | !! ** Action : - Update (ua_tl,va_tl) with the now hydrastatic pressure trend |
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| 262 | !!---------------------------------------------------------------------- |
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| 263 | !! |
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| 264 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 265 | !! |
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| 266 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 267 | REAL(wp) :: zcoef0, zcoef1 ! temporary scalars |
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| 268 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zhpiad, zhpjad |
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| 269 | !!---------------------------------------------------------------------- |
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| 270 | ! |
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| 271 | CALL wrk_alloc( jpi,jpj,jpk, zhpiad, zhpjad ) |
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| 272 | ! |
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| 273 | IF( kt == nitend ) THEN |
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| 274 | IF(lwp) WRITE(numout,*) |
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| 275 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zco_adj : hydrostatic pressure gradient trend' |
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| 276 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinate case ' |
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| 277 | ENDIF |
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| 278 | ! adjoint variables initialization |
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| 279 | zhpiad = 0.0_wp |
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| 280 | zhpjad = 0.0_wp |
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| 281 | ! Local constant initialization |
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| 282 | zcoef0 = - grav * 0.5 |
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| 283 | |
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| 284 | ! interior value (2=<jk=<jpkm1) |
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| 285 | DO jk = jpkm1, 2, -1 |
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| 286 | DO jj = jpjm1, 2, -1 |
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| 287 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
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| 288 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
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| 289 | ! add to the general momentum trend |
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| 290 | zhpiad(ji,jj,jk) = zhpiad(ji,jj,jk) + ua_ad(ji,jj,jk) |
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| 291 | zhpjad(ji,jj,jk) = zhpjad(ji,jj,jk) + va_ad(ji,jj,jk) |
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| 292 | ! hydrostatic pressure gradient |
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| 293 | rhd_ad(ji,jj+1,jk ) = rhd_ad(ji,jj+1,jk ) + zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
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| 294 | rhd_ad(ji,jj+1,jk-1) = rhd_ad(ji,jj+1,jk-1) + zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
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| 295 | rhd_ad(ji,jj ,jk ) = rhd_ad(ji,jj ,jk ) - zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
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| 296 | rhd_ad(ji,jj ,jk-1) = rhd_ad(ji,jj ,jk-1) - zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
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| 297 | zhpjad(ji,jj ,jk-1) = zhpjad(ji,jj ,jk-1) + zhpjad(ji,jj,jk) |
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| 298 | zhpjad(ji,jj ,jk ) = 0.0_wp |
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| 299 | ! |
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| 300 | rhd_ad(ji+1,jj,jk ) = rhd_ad(ji+1,jj,jk ) + zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
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| 301 | rhd_ad(ji+1,jj,jk-1) = rhd_ad(ji+1,jj,jk-1) + zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
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| 302 | rhd_ad(ji ,jj,jk ) = rhd_ad(ji ,jj,jk ) - zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
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| 303 | rhd_ad(ji ,jj,jk-1) = rhd_ad(ji ,jj,jk-1) - zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
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| 304 | zhpiad(ji ,jj,jk-1) = zhpiad(ji ,jj,jk-1) + zhpiad(ji,jj,jk) |
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| 305 | zhpiad(ji ,jj,jk ) = 0.0_wp |
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| 306 | ! |
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| 307 | END DO |
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| 308 | END DO |
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| 309 | END DO |
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| 310 | ! Surface value |
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| 311 | DO jj = 2, jpjm1 |
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| 312 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 313 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
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| 314 | ! add to the general momentum trend |
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| 315 | zhpiad(ji,jj,1) = zhpiad(ji,jj,1) + ua_ad(ji,jj,1) |
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| 316 | zhpjad(ji,jj,1) = zhpjad(ji,jj,1) + va_ad(ji,jj,1) |
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| 317 | ! hydrostatic pressure gradient |
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| 318 | rhd_ad(ji,jj+1,1) = rhd_ad(ji,jj+1,1) + zhpjad(ji,jj,1) * zcoef1 / e2v(ji,jj) |
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| 319 | rhd_ad(ji,jj ,1) = rhd_ad(ji,jj ,1) - zhpjad(ji,jj,1) * zcoef1 / e2v(ji,jj) |
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| 320 | zhpjad(ji,jj,1) = 0.0_wp |
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| 321 | ! |
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| 322 | rhd_ad(ji+1,jj,1) = rhd_ad(ji+1,jj,1) + zhpiad(ji,jj,1) * zcoef1 / e1u(ji,jj) |
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| 323 | rhd_ad(ji ,jj,1) = rhd_ad(ji ,jj,1) - zhpiad(ji,jj,1) * zcoef1 / e1u(ji,jj) |
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| 324 | zhpiad(ji,jj,1) = 0.0_wp |
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| 325 | END DO |
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| 326 | END DO |
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| 327 | ! |
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| 328 | CALL wrk_dealloc( jpi,jpj,jpk, zhpiad, zhpjad ) |
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| 329 | ! |
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| 330 | END SUBROUTINE hpg_zco_adj |
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| 331 | SUBROUTINE hpg_zps_tan( kt ) |
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| 332 | !!--------------------------------------------------------------------- |
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| 333 | !! *** ROUTINE hpg_zps *** |
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| 334 | !! |
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| 335 | !! ** Method of the direct routine: |
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| 336 | !! z-coordinate plus partial steps case. blahblah... |
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| 337 | !! |
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| 338 | !! ** Action : - Update (ua_tl,va_tl) with the now hydrastatic pressure trend |
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| 339 | !!---------------------------------------------------------------------- |
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| 340 | !! |
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| 341 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 342 | !! |
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| 343 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 344 | INTEGER :: iku, ikv ! temporary integers |
|---|
| 345 | REAL(wp) :: zcoef0, zcoef1, zcoef2, zcoef3 ! temporary scalars |
|---|
| 346 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zhpitl, zhpjtl |
|---|
| 347 | !!---------------------------------------------------------------------- |
|---|
| 348 | ! |
|---|
| 349 | CALL wrk_alloc( jpi,jpj,jpk, zhpitl, zhpjtl ) |
|---|
| 350 | ! |
|---|
| 351 | IF( kt == nit000 ) THEN |
|---|
| 352 | IF(lwp) WRITE(numout,*) |
|---|
| 353 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zps_tan : hydrostatic pressure gradient trend' |
|---|
| 354 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinate with partial steps - vector optimization' |
|---|
| 355 | ENDIF |
|---|
| 356 | |
|---|
| 357 | ! Local constant initialization |
|---|
| 358 | zcoef0 = - grav * 0.5_wp |
|---|
| 359 | |
|---|
| 360 | ! Surface value |
|---|
| 361 | DO jj = 2, jpjm1 |
|---|
| 362 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 363 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
|---|
| 364 | ! hydrostatic pressure gradient |
|---|
| 365 | zhpitl(ji,jj,1) = zcoef1 * ( rhd_tl(ji+1,jj ,1) - rhd_tl(ji,jj,1) ) / e1u(ji,jj) |
|---|
| 366 | zhpjtl(ji,jj,1) = zcoef1 * ( rhd_tl(ji ,jj+1,1) - rhd_tl(ji,jj,1) ) / e2v(ji,jj) |
|---|
| 367 | ! add to the general momentum trend |
|---|
| 368 | ua_tl(ji,jj,1) = ua_tl(ji,jj,1) + zhpitl(ji,jj,1) |
|---|
| 369 | va_tl(ji,jj,1) = va_tl(ji,jj,1) + zhpjtl(ji,jj,1) |
|---|
| 370 | END DO |
|---|
| 371 | END DO |
|---|
| 372 | |
|---|
| 373 | ! interior value (2=<jk=<jpkm1) |
|---|
| 374 | DO jk = 2, jpkm1 |
|---|
| 375 | DO jj = 2, jpjm1 |
|---|
| 376 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 377 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
|---|
| 378 | ! hydrostatic pressure gradient |
|---|
| 379 | zhpitl(ji,jj,jk) = zhpitl(ji,jj,jk-1) & |
|---|
| 380 | & + zcoef1 * ( ( rhd_tl(ji+1,jj,jk) + rhd_tl(ji+1,jj,jk-1) ) & |
|---|
| 381 | & - ( rhd_tl(ji ,jj,jk) + rhd_tl(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
|---|
| 382 | |
|---|
| 383 | zhpjtl(ji,jj,jk) = zhpjtl(ji,jj,jk-1) & |
|---|
| 384 | & + zcoef1 * ( ( rhd_tl(ji,jj+1,jk) + rhd_tl(ji,jj+1,jk-1) ) & |
|---|
| 385 | & - ( rhd_tl(ji,jj, jk) + rhd_tl(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
|---|
| 386 | ! add to the general momentum trend |
|---|
| 387 | ua_tl(ji,jj,jk) = ua_tl(ji,jj,jk) + zhpitl(ji,jj,jk) |
|---|
| 388 | va_tl(ji,jj,jk) = va_tl(ji,jj,jk) + zhpjtl(ji,jj,jk) |
|---|
| 389 | END DO |
|---|
| 390 | END DO |
|---|
| 391 | END DO |
|---|
| 392 | |
|---|
| 393 | ! partial steps correction at the last level (new gradient with intgrd.F) |
|---|
| 394 | # if defined key_vectopt_loop |
|---|
| 395 | jj = 1 |
|---|
| 396 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
|---|
| 397 | # else |
|---|
| 398 | DO jj = 2, jpjm1 |
|---|
| 399 | DO ji = 2, jpim1 |
|---|
| 400 | # endif |
|---|
| 401 | iku = mbku(ji,jj) |
|---|
| 402 | ikv = mbkv(ji,jj) |
|---|
| 403 | zcoef2 = zcoef0 * MIN( fse3w(ji,jj,iku), fse3w(ji+1,jj ,iku) ) |
|---|
| 404 | zcoef3 = zcoef0 * MIN( fse3w(ji,jj,ikv), fse3w(ji ,jj+1,ikv) ) |
|---|
| 405 | ! on i-direction |
|---|
| 406 | IF ( iku > 1 ) THEN ! on i-direction (level 2 or more) |
|---|
| 407 | ua_tl (ji,jj,iku) = ua_tl(ji,jj,iku) - zhpitl(ji,jj,iku) ! subtract old value |
|---|
| 408 | zhpitl(ji,jj,iku) = zhpitl(ji,jj,iku-1) & ! compute the new one |
|---|
| 409 | & + zcoef2 * ( rhd_tl(ji+1,jj,iku-1) - rhd_tl(ji,jj,iku-1) + gru_tl(ji,jj) ) / e1u(ji,jj) |
|---|
| 410 | ua_tl (ji,jj,iku) = ua_tl(ji,jj,iku) + zhpitl(ji,jj,iku) ! add the new one to the general momentum trend |
|---|
| 411 | ENDIF |
|---|
| 412 | |
|---|
| 413 | IF ( ikv > 1 ) THEN ! on j-direction |
|---|
| 414 | va_tl(ji,jj,ikv) = va_tl(ji,jj,ikv) - zhpjtl(ji,jj,ikv) ! subtract old value |
|---|
| 415 | zhpjtl (ji,jj,ikv) = zhpjtl(ji,jj,ikv-1) & ! compute the new one |
|---|
| 416 | & + zcoef3 * ( rhd_tl(ji,jj+1,ikv-1) - rhd_tl(ji,jj,ikv-1) + grv_tl(ji,jj) ) / e2v(ji,jj) |
|---|
| 417 | va_tl(ji,jj,ikv) = va_tl(ji,jj,ikv) + zhpjtl(ji,jj,ikv) ! add the new one to the general momentum trend |
|---|
| 418 | ENDIF |
|---|
| 419 | # if ! defined key_vectopt_loop |
|---|
| 420 | END DO |
|---|
| 421 | # endif |
|---|
| 422 | END DO |
|---|
| 423 | ! |
|---|
| 424 | CALL wrk_dealloc( jpi,jpj,jpk, zhpitl, zhpjtl ) |
|---|
| 425 | ! |
|---|
| 426 | END SUBROUTINE hpg_zps_tan |
|---|
| 427 | SUBROUTINE hpg_zps_adj( kt ) |
|---|
| 428 | !!--------------------------------------------------------------------- |
|---|
| 429 | !! *** ROUTINE hpg_zps *** |
|---|
| 430 | !! |
|---|
| 431 | !! ** Method of the direct routine: |
|---|
| 432 | !! z-coordinate plus partial steps case. blahblah... |
|---|
| 433 | !! |
|---|
| 434 | !! ** Action : - Update (ua_tl,va_tl) with the now hydrastatic pressure trend |
|---|
| 435 | !!---------------------------------------------------------------------- |
|---|
| 436 | !! |
|---|
| 437 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 438 | !! |
|---|
| 439 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 440 | INTEGER :: iku, ikv ! temporary integers |
|---|
| 441 | REAL(wp) :: zcoef0, zcoef1, zcoef2, zcoef3 ! temporary scalars |
|---|
| 442 | REAL(wp), POINTER, DIMENSION(:,:,:):: zhpiad, zhpjad |
|---|
| 443 | !!---------------------------------------------------------------------- |
|---|
| 444 | ! |
|---|
| 445 | CALL wrk_alloc( jpi,jpj,jpk, zhpiad, zhpjad ) |
|---|
| 446 | ! |
|---|
| 447 | IF( kt == nitend ) THEN |
|---|
| 448 | IF(lwp) WRITE(numout,*) |
|---|
| 449 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zps_adj : hydrostatic pressure gradient trend' |
|---|
| 450 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinate with partial steps - vector optimization' |
|---|
| 451 | ENDIF |
|---|
| 452 | zhpiad(:,:,:) = 0.0_wp |
|---|
| 453 | zhpjad(:,:,:) = 0.0_wp |
|---|
| 454 | ! Local constant initialization |
|---|
| 455 | zcoef0 = - grav * 0.5 |
|---|
| 456 | |
|---|
| 457 | ! partial steps correction at the last level (new gradient with intgrd.F) |
|---|
| 458 | # if defined key_vectopt_loop |
|---|
| 459 | jj = 1 |
|---|
| 460 | DO ji = jpij-jpi-1, jpi+2, -1 ! vector opt. (forced unrolling) |
|---|
| 461 | # else |
|---|
| 462 | DO jj = jpjm1, 2, -1 |
|---|
| 463 | DO ji = jpim1, 2, -1 |
|---|
| 464 | # endif |
|---|
| 465 | iku = mbku(ji,jj) |
|---|
| 466 | ikv = mbkv(ji,jj) |
|---|
| 467 | zcoef2 = zcoef0 * MIN( fse3w(ji,jj,iku), fse3w(ji+1,jj ,iku) ) |
|---|
| 468 | zcoef3 = zcoef0 * MIN( fse3w(ji,jj,ikv), fse3w(ji ,jj+1,ikv) ) |
|---|
| 469 | ! on i-direction |
|---|
| 470 | IF ( iku > 2 ) THEN |
|---|
| 471 | ! add the new one to the general momentum trend |
|---|
| 472 | zhpiad(ji,jj,iku) = zhpiad(ji,jj,iku) + ua_ad(ji,jj,iku) |
|---|
| 473 | ! compute the new one |
|---|
| 474 | rhd_ad(ji+1,jj,iku-1) = rhd_ad(ji+1,jj,iku-1) + zhpiad (ji,jj,iku) * zcoef2 / e1u(ji,jj) |
|---|
| 475 | rhd_ad(ji,jj,iku-1) = rhd_ad(ji,jj,iku-1) - zhpiad (ji,jj,iku) * zcoef2 / e1u(ji,jj) |
|---|
| 476 | gru_ad(ji,jj) = gru_ad(ji,jj) + zhpiad (ji,jj,iku) * zcoef2 / e1u(ji,jj) |
|---|
| 477 | zhpiad(ji,jj,iku-1) = zhpiad(ji,jj,iku-1) + zhpiad (ji,jj,iku) |
|---|
| 478 | zhpiad (ji,jj,iku) = 0.0_wp |
|---|
| 479 | ! subtract old value |
|---|
| 480 | zhpiad(ji,jj,iku) = zhpiad(ji,jj,iku) - ua_ad(ji,jj,iku) |
|---|
| 481 | ENDIF |
|---|
| 482 | ! on j-direction |
|---|
| 483 | IF ( ikv > 2 ) THEN |
|---|
| 484 | ! add the new one to the general momentum trend |
|---|
| 485 | zhpjad(ji,jj,ikv) = zhpjad(ji,jj,ikv) + va_ad(ji,jj,ikv) |
|---|
| 486 | ! compute the new one |
|---|
| 487 | rhd_ad(ji,jj+1,ikv-1) = rhd_ad(ji,jj+1,ikv-1) + zhpjad (ji,jj,ikv) * zcoef3 / e2v(ji,jj) |
|---|
| 488 | rhd_ad(ji,jj,ikv-1) = rhd_ad(ji,jj,ikv-1) -zhpjad (ji,jj,ikv) * zcoef3 / e2v(ji,jj) |
|---|
| 489 | grv_ad(ji,jj) = grv_ad(ji,jj) +zhpjad (ji,jj,ikv) * zcoef3 / e2v(ji,jj) |
|---|
| 490 | zhpjad(ji,jj,ikv-1) = zhpjad(ji,jj,ikv-1) + zhpjad(ji,jj,ikv) |
|---|
| 491 | zhpjad (ji,jj,ikv) = 0.0_wp |
|---|
| 492 | ! subtract old value |
|---|
| 493 | zhpjad(ji,jj,ikv) = zhpjad(ji,jj,ikv) - va_ad(ji,jj,ikv) |
|---|
| 494 | ENDIF |
|---|
| 495 | # if ! defined key_vectopt_loop |
|---|
| 496 | END DO |
|---|
| 497 | # endif |
|---|
| 498 | END DO |
|---|
| 499 | ! |
|---|
| 500 | ! interior value (2=<jk=<jpkm1) |
|---|
| 501 | DO jk = jpkm1, 2, -1 |
|---|
| 502 | DO jj = jpjm1, 2, -1 |
|---|
| 503 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
|---|
| 504 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
|---|
| 505 | ! add to the general momentum trend |
|---|
| 506 | zhpiad(ji,jj,jk) = zhpiad(ji,jj,jk) + ua_ad(ji,jj,jk) |
|---|
| 507 | zhpjad(ji,jj,jk) = zhpjad(ji,jj,jk) + va_ad(ji,jj,jk) |
|---|
| 508 | ! hydrostatic pressure gradient |
|---|
| 509 | rhd_ad(ji,jj+1,jk ) = rhd_ad(ji,jj+1,jk ) + zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 510 | rhd_ad(ji,jj+1,jk-1) = rhd_ad(ji,jj+1,jk-1) + zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 511 | rhd_ad(ji,jj ,jk ) = rhd_ad(ji,jj ,jk ) - zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 512 | rhd_ad(ji,jj ,jk-1) = rhd_ad(ji,jj ,jk-1) - zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 513 | zhpjad(ji,jj ,jk-1) = zhpjad(ji,jj ,jk-1) + zhpjad(ji,jj,jk) |
|---|
| 514 | zhpjad(ji,jj ,jk ) = 0.0_wp |
|---|
| 515 | ! |
|---|
| 516 | rhd_ad(ji+1,jj,jk ) = rhd_ad(ji+1,jj,jk ) + zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 517 | rhd_ad(ji+1,jj,jk-1) = rhd_ad(ji+1,jj,jk-1) + zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 518 | rhd_ad(ji ,jj,jk ) = rhd_ad(ji ,jj,jk ) - zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 519 | rhd_ad(ji ,jj,jk-1) = rhd_ad(ji ,jj,jk-1) - zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 520 | zhpiad(ji ,jj,jk-1) = zhpiad(ji ,jj,jk-1) + zhpiad(ji,jj,jk) |
|---|
| 521 | zhpiad(ji ,jj,jk ) = 0.0_wp |
|---|
| 522 | END DO |
|---|
| 523 | END DO |
|---|
| 524 | END DO |
|---|
| 525 | ! Surface value |
|---|
| 526 | DO jj = jpjm1, 2, -1 |
|---|
| 527 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
|---|
| 528 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
|---|
| 529 | ! add to the general momentum trend |
|---|
| 530 | zhpiad(ji,jj,1) = zhpiad(ji,jj,1) + ua_ad(ji,jj,1) |
|---|
| 531 | zhpjad(ji,jj,1) = zhpjad(ji,jj,1) + va_ad(ji,jj,1) |
|---|
| 532 | ! hydrostatic pressure gradient |
|---|
| 533 | rhd_ad(ji+1,jj ,1) = rhd_ad(ji+1,jj ,1) + zhpiad(ji,jj,1) * zcoef1 / e1u(ji,jj) |
|---|
| 534 | rhd_ad(ji ,jj ,1) = rhd_ad(ji ,jj ,1) - zhpiad(ji,jj,1) * zcoef1 / e1u(ji,jj) |
|---|
| 535 | rhd_ad(ji ,jj+1,1) = rhd_ad(ji ,jj+1,1) + zhpjad(ji,jj,1) * zcoef1 / e2v(ji,jj) |
|---|
| 536 | rhd_ad(ji ,jj ,1) = rhd_ad(ji ,jj ,1) - zhpjad(ji,jj,1) * zcoef1 / e2v(ji,jj) |
|---|
| 537 | zhpiad(ji ,jj ,1) = 0.0_wp |
|---|
| 538 | zhpjad(ji ,jj ,1) = 0.0_wp |
|---|
| 539 | END DO |
|---|
| 540 | END DO |
|---|
| 541 | ! |
|---|
| 542 | CALL wrk_dealloc( jpi,jpj,jpk, zhpiad, zhpjad ) |
|---|
| 543 | ! |
|---|
| 544 | END SUBROUTINE hpg_zps_adj |
|---|
| 545 | SUBROUTINE hpg_sco_tan( kt ) |
|---|
| 546 | !!--------------------------------------------------------------------- |
|---|
| 547 | !! *** ROUTINE hpg_sco_tan *** |
|---|
| 548 | !! |
|---|
| 549 | !! ** Method of the direct routine: s-coordinate case. Jacobian scheme. |
|---|
| 550 | !! The now hydrostatic pressure gradient at a given level, jk, |
|---|
| 551 | !! is computed by taking the vertical integral of the in-situ |
|---|
| 552 | !! density gradient along the model level from the suface to that |
|---|
| 553 | !! level. s-coordinates (ln_sco): a corrective term is added |
|---|
| 554 | !! to the horizontal pressure gradient : |
|---|
| 555 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
|---|
| 556 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
|---|
| 557 | !! add it to the general momentum trend (ua,va). |
|---|
| 558 | !! ua = ua - 1/e1u * zhpi |
|---|
| 559 | !! va = va - 1/e2v * zhpj |
|---|
| 560 | !! |
|---|
| 561 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
|---|
| 562 | !!---------------------------------------------------------------------- |
|---|
| 563 | !! |
|---|
| 564 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 565 | CALL ctl_stop( 'hpg_sco_tan not available yet') |
|---|
| 566 | END SUBROUTINE hpg_sco_tan |
|---|
| 567 | SUBROUTINE hpg_sco_adj( kt ) |
|---|
| 568 | !!--------------------------------------------------------------------- |
|---|
| 569 | !! *** ROUTINE hpg_sco_adj *** |
|---|
| 570 | !! |
|---|
| 571 | !! ** Method of the direct routine: s-coordinate case. Jacobian scheme. |
|---|
| 572 | !! The now hydrostatic pressure gradient at a given level, jk, |
|---|
| 573 | !! is computed by taking the vertical integral of the in-situ |
|---|
| 574 | !! density gradient along the model level from the suface to that |
|---|
| 575 | !! level. s-coordinates (ln_sco): a corrective term is added |
|---|
| 576 | !! to the horizontal pressure gradient : |
|---|
| 577 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
|---|
| 578 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
|---|
| 579 | !! add it to the general momentum trend (ua,va). |
|---|
| 580 | !! ua = ua - 1/e1u * zhpi |
|---|
| 581 | !! va = va - 1/e2v * zhpj |
|---|
| 582 | !! |
|---|
| 583 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
|---|
| 584 | !!---------------------------------------------------------------------- |
|---|
| 585 | !! |
|---|
| 586 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 587 | CALL ctl_stop( 'hpg_sco_adj not available yet') |
|---|
| 588 | END SUBROUTINE hpg_sco_adj |
|---|
| 589 | SUBROUTINE hpg_djc_tan( kt ) |
|---|
| 590 | !!--------------------------------------------------------------------- |
|---|
| 591 | !! *** ROUTINE hpg_hel_tan *** |
|---|
| 592 | !! |
|---|
| 593 | !! ** Method of the direct routine: s-coordinate case. |
|---|
| 594 | !! The now hydrostatic pressure gradient at a given level |
|---|
| 595 | !! jk is computed by taking the vertical integral of the in-situ |
|---|
| 596 | !! density gradient along the model level from the suface to that |
|---|
| 597 | !! level. s-coordinates (ln_sco): a corrective term is added |
|---|
| 598 | !! to the horizontal pressure gradient : |
|---|
| 599 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
|---|
| 600 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
|---|
| 601 | !! add it to the general momentum trend (ua,va). |
|---|
| 602 | !! ua = ua - 1/e1u * zhpi |
|---|
| 603 | !! va = va - 1/e2v * zhpj |
|---|
| 604 | !! |
|---|
| 605 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
|---|
| 606 | !! - Save the trend (l_trddyn=T) |
|---|
| 607 | !!---------------------------------------------------------------------- |
|---|
| 608 | !! |
|---|
| 609 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 610 | CALL ctl_stop( 'hpg_djc_tan not available yet') |
|---|
| 611 | END SUBROUTINE hpg_djc_tan |
|---|
| 612 | SUBROUTINE hpg_djc_adj( kt ) |
|---|
| 613 | !!--------------------------------------------------------------------- |
|---|
| 614 | !! *** ROUTINE hpg_hel_adj *** |
|---|
| 615 | !! |
|---|
| 616 | !! ** Method of the direct routine: s-coordinate case. |
|---|
| 617 | !! The now hydrostatic pressure gradient at a given level |
|---|
| 618 | !! jk is computed by taking the vertical integral of the in-situ |
|---|
| 619 | !! density gradient along the model level from the suface to that |
|---|
| 620 | !! level. s-coordinates (ln_sco): a corrective term is added |
|---|
| 621 | !! to the horizontal pressure gradient : |
|---|
| 622 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
|---|
| 623 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
|---|
| 624 | !! add it to the general momentum trend (ua,va). |
|---|
| 625 | !! ua = ua - 1/e1u * zhpi |
|---|
| 626 | !! va = va - 1/e2v * zhpj |
|---|
| 627 | !! |
|---|
| 628 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
|---|
| 629 | !! - Save the trend (l_trddyn=T) |
|---|
| 630 | !!---------------------------------------------------------------------- |
|---|
| 631 | !! |
|---|
| 632 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 633 | CALL ctl_stop( 'hpg_djc_adj not available yet') |
|---|
| 634 | END SUBROUTINE hpg_djc_adj |
|---|
| 635 | SUBROUTINE hpg_prj_tan( kt ) |
|---|
| 636 | !!--------------------------------------------------------------------- |
|---|
| 637 | !! *** ROUTINE hpg_wdj_tan *** |
|---|
| 638 | !! |
|---|
| 639 | !! ** Method of the direct roiutine: |
|---|
| 640 | !! Weighted Density Jacobian (wdj) scheme (song 1998) |
|---|
| 641 | !! The weighting coefficients from the namelist parameter gamm |
|---|
| 642 | !! (alpha=0.5-gamm ; beta=1-alpha=0.5+gamm) |
|---|
| 643 | !! |
|---|
| 644 | !! Reference : Song, Mon. Wea. Rev., 126, 3213-3230, 1998. |
|---|
| 645 | !!---------------------------------------------------------------------- |
|---|
| 646 | !! |
|---|
| 647 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 648 | CALL ctl_stop( 'hpg_prj_tan not available yet') |
|---|
| 649 | END SUBROUTINE hpg_prj_tan |
|---|
| 650 | SUBROUTINE hpg_prj_adj( kt ) |
|---|
| 651 | !!--------------------------------------------------------------------- |
|---|
| 652 | !! *** ROUTINE hpg_wdj_adj *** |
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| 653 | !! |
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| 654 | !! ** Method of the direct roiutine: |
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| 655 | !! Weighted Density Jacobian (wdj) scheme (song 1998) |
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| 656 | !! The weighting coefficients from the namelist parameter gamm |
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| 657 | !! (alpha=0.5-gamm ; beta=1-alpha=0.5+gamm) |
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| 658 | !! |
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| 659 | !! Reference : Song, Mon. Wea. Rev., 126, 3213-3230, 1998. |
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| 660 | !!---------------------------------------------------------------------- |
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| 661 | !! |
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| 662 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 663 | CALL ctl_stop( 'hpg_prj_adj not available yet') |
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| 664 | END SUBROUTINE hpg_prj_adj |
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| 665 | |
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| 666 | SUBROUTINE dyn_hpg_adj_tst( kumadt ) |
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| 667 | !!----------------------------------------------------------------------- |
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| 668 | !! |
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| 669 | !! *** ROUTINE dynhpg_adj_tst *** |
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| 670 | !! |
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| 671 | !! ** Purpose : Test the adjoint routine. |
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| 672 | !! |
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| 673 | !! ** Method : Verify the scalar product |
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| 674 | !! |
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| 675 | !! ( L dx )^T W dy = dx^T L^T W dy |
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| 676 | !! |
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| 677 | !! where L = tangent routine |
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| 678 | !! L^T = adjoint routine |
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| 679 | !! W = diagonal matrix of scale factors |
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| 680 | !! dx = input perturbation (random field) |
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| 681 | !! dy = L dx |
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| 682 | !! |
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| 683 | !! ** Action : Separate tests are applied for the following dx and dy: |
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| 684 | !! |
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| 685 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
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| 686 | !! |
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| 687 | !! History : |
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| 688 | !! ! 08-07 (A. Vidard) |
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| 689 | !!----------------------------------------------------------------------- |
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| 690 | !! * Modules used |
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| 691 | |
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| 692 | !! * Arguments |
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| 693 | INTEGER, INTENT(IN) :: & |
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| 694 | & kumadt ! Output unit |
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| 695 | |
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| 696 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
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| 697 | & zrhd_tlin, & ! in situ density anomalie |
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| 698 | & zua_tlin, & ! after u- velocity |
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| 699 | & zva_tlin, & ! after v- velocity |
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| 700 | & zua_tlout, & ! after u- velocity |
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| 701 | & zva_tlout ! after v- velocity |
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| 702 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
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| 703 | & zrhd_adout, & ! in situ density anomalie |
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| 704 | & zua_adout, & ! after u- velocity |
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| 705 | & zva_adout, & ! after v- velocity |
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| 706 | & zua_adin, & ! after u- velocity |
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| 707 | & zva_adin ! after v- velocity |
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| 708 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
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| 709 | & zgru_tlin, & |
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| 710 | & zgrv_tlin, & |
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| 711 | & zgru_adout, & |
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| 712 | & zgrv_adout |
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| 713 | |
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| 714 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
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| 715 | & zrh, & ! 3D random field for rhd |
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| 716 | & zau, & ! 3D random field for u |
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| 717 | & zav ! 3D random field for v |
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| 718 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
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| 719 | & zgru, & ! 2D random field for gru |
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| 720 | & zgrv ! 2D random field for grv |
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| 721 | REAL(KIND=wp) :: & |
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| 722 | & zsp1, & ! scalar product involving the tangent routine |
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| 723 | & zsp1_1, & ! scalar product components |
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| 724 | & zsp1_2, & |
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| 725 | & zsp2, & ! scalar product involving the adjoint routine |
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| 726 | & zsp2_1, & ! scalar product components |
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| 727 | & zsp2_2, & |
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| 728 | & zsp2_3, & |
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| 729 | & zsp2_4, & |
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| 730 | & zsp2_5 |
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| 731 | INTEGER, DIMENSION(jpi,jpj) :: & |
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| 732 | & iseed_2d ! 2D seed for the random number generator |
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| 733 | INTEGER :: & |
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| 734 | & iseed, & |
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| 735 | & ji, & |
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| 736 | & jj, & |
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| 737 | & jk |
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| 738 | CHARACTER(LEN=14) :: cl_name |
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| 739 | |
|---|
| 740 | ! Allocate memory |
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| 741 | ALLOCATE( & |
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| 742 | & zrhd_tlin(jpi,jpj,jpk), & |
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| 743 | & zua_tlin(jpi,jpj,jpk), & |
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| 744 | & zva_tlin(jpi,jpj,jpk), & |
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| 745 | & zgru_tlin(jpi,jpj), & |
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| 746 | & zgrv_tlin(jpi,jpj), & |
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| 747 | & zua_tlout(jpi,jpj,jpk), & |
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| 748 | & zva_tlout(jpi,jpj,jpk), & |
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| 749 | & zrhd_adout(jpi,jpj,jpk), & |
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| 750 | & zua_adout(jpi,jpj,jpk), & |
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| 751 | & zva_adout(jpi,jpj,jpk), & |
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| 752 | & zgru_adout(jpi,jpj), & |
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| 753 | & zgrv_adout(jpi,jpj), & |
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| 754 | & zua_adin(jpi,jpj,jpk), & |
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| 755 | & zva_adin(jpi,jpj,jpk), & |
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| 756 | & zrh(jpi,jpj,jpk), & |
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| 757 | & zau(jpi,jpj,jpk), & |
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| 758 | & zav(jpi,jpj,jpk), & |
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| 759 | & zgru(jpi,jpj), & |
|---|
| 760 | & zgrv(jpi,jpj) & |
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| 761 | & ) |
|---|
| 762 | |
|---|
| 763 | |
|---|
| 764 | !================================================================== |
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| 765 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
|---|
| 766 | ! dy = ( hdivb_tl, hdivn_tl ) |
|---|
| 767 | !================================================================== |
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| 768 | |
|---|
| 769 | !-------------------------------------------------------------------- |
|---|
| 770 | ! Reset the tangent and adjoint variables |
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| 771 | !-------------------------------------------------------------------- |
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| 772 | zrhd_tlin(:,:,:) = 0.0_wp |
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| 773 | zua_tlin(:,:,:) = 0.0_wp |
|---|
| 774 | zva_tlin(:,:,:) = 0.0_wp |
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| 775 | zgru_tlin(:,:) = 0.0_wp |
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| 776 | zgrv_tlin(:,:) = 0.0_wp |
|---|
| 777 | zua_tlout(:,:,:) = 0.0_wp |
|---|
| 778 | zva_tlout(:,:,:) = 0.0_wp |
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| 779 | zgru_adout(:,:) = 0.0_wp |
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| 780 | zgrv_adout(:,:) = 0.0_wp |
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| 781 | zrhd_adout(:,:,:) = 0.0_wp |
|---|
| 782 | zua_adout(:,:,:) = 0.0_wp |
|---|
| 783 | zva_adout(:,:,:) = 0.0_wp |
|---|
| 784 | zua_adin(:,:,:) = 0.0_wp |
|---|
| 785 | zva_adin(:,:,:) = 0.0_wp |
|---|
| 786 | zrh(:,:,:) = 0.0_wp |
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| 787 | zau(:,:,:) = 0.0_wp |
|---|
| 788 | zav(:,:,:) = 0.0_wp |
|---|
| 789 | zgru(:,:) = 0.0_wp |
|---|
| 790 | zgrv(:,:) = 0.0_wp |
|---|
| 791 | |
|---|
| 792 | |
|---|
| 793 | gru_tl(:,:) = 0.0_wp |
|---|
| 794 | grv_tl(:,:) = 0.0_wp |
|---|
| 795 | gru_ad(:,:) = 0.0_wp |
|---|
| 796 | grv_ad(:,:) = 0.0_wp |
|---|
| 797 | ua_tl(:,:,:) = 0.0_wp |
|---|
| 798 | va_tl(:,:,:) = 0.0_wp |
|---|
| 799 | rhd_tl(:,:,:) = 0.0_wp |
|---|
| 800 | ua_ad(:,:,:) = 0.0_wp |
|---|
| 801 | va_ad(:,:,:) = 0.0_wp |
|---|
| 802 | rhd_ad(:,:,:) = 0.0_wp |
|---|
| 803 | |
|---|
| 804 | !-------------------------------------------------------------------- |
|---|
| 805 | ! Initialize the tangent input with random noise: dx |
|---|
| 806 | !-------------------------------------------------------------------- |
|---|
| 807 | |
|---|
| 808 | CALL grid_random( zau, 'U', 0.0_wp, stdu ) |
|---|
| 809 | CALL grid_random( zav, 'V', 0.0_wp, stdv ) |
|---|
| 810 | CALL grid_random( zrh, 'W', 0.0_wp, stdr ) |
|---|
| 811 | CALL grid_random( zgru, 'U', 0.0_wp, stdu ) |
|---|
| 812 | CALL grid_random( zgrv, 'V', 0.0_wp, stdv ) |
|---|
| 813 | |
|---|
| 814 | DO jk = 1, jpk |
|---|
| 815 | DO jj = nldj, nlej |
|---|
| 816 | DO ji = nldi, nlei |
|---|
| 817 | zrhd_tlin(ji,jj,jk) = zrh(ji,jj,jk) |
|---|
| 818 | zua_tlin(ji,jj,jk) = zau(ji,jj,jk) |
|---|
| 819 | zva_tlin(ji,jj,jk) = zav(ji,jj,jk) |
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| 820 | END DO |
|---|
| 821 | END DO |
|---|
| 822 | END DO |
|---|
| 823 | DO jj = nldj, nlej |
|---|
| 824 | DO ji = nldi, nlei |
|---|
| 825 | zgru_tlin(ji,jj) = zgru(ji,jj) |
|---|
| 826 | zgrv_tlin(ji,jj) = zgrv(ji,jj) |
|---|
| 827 | END DO |
|---|
| 828 | END DO |
|---|
| 829 | ua_tl(:,:,:) = zua_tlin(:,:,:) |
|---|
| 830 | va_tl(:,:,:) = zva_tlin(:,:,:) |
|---|
| 831 | rhd_tl(:,:,:) = zrhd_tlin(:,:,:) |
|---|
| 832 | gru_tl(:,:) = zgru_tlin(:,:) |
|---|
| 833 | grv_tl(:,:) = zgrv_tlin(:,:) |
|---|
| 834 | |
|---|
| 835 | CALL dyn_hpg_tan ( nit000 ) |
|---|
| 836 | |
|---|
| 837 | zua_tlout(:,:,:) = ua_tl(:,:,:) |
|---|
| 838 | zva_tlout(:,:,:) = va_tl(:,:,:) |
|---|
| 839 | !-------------------------------------------------------------------- |
|---|
| 840 | ! Initialize the adjoint variables: dy^* = W dy |
|---|
| 841 | !-------------------------------------------------------------------- |
|---|
| 842 | |
|---|
| 843 | DO jk = 1, jpk |
|---|
| 844 | DO jj = nldj, nlej |
|---|
| 845 | DO ji = nldi, nlei |
|---|
| 846 | zua_adin(ji,jj,jk) = zua_tlout(ji,jj,jk) & |
|---|
| 847 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) & |
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| 848 | & * umask(ji,jj,jk) |
|---|
| 849 | zva_adin(ji,jj,jk) = zva_tlout(ji,jj,jk) & |
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| 850 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) & |
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| 851 | & * vmask(ji,jj,jk) |
|---|
| 852 | END DO |
|---|
| 853 | END DO |
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| 854 | END DO |
|---|
| 855 | !-------------------------------------------------------------------- |
|---|
| 856 | ! Compute the scalar product: ( L dx )^T W dy |
|---|
| 857 | !-------------------------------------------------------------------- |
|---|
| 858 | |
|---|
| 859 | zsp1_1 = DOT_PRODUCT( zua_tlout, zua_adin ) |
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| 860 | zsp1_2 = DOT_PRODUCT( zva_tlout, zva_adin ) |
|---|
| 861 | zsp1 = zsp1_1 + zsp1_2 |
|---|
| 862 | |
|---|
| 863 | !-------------------------------------------------------------------- |
|---|
| 864 | ! Call the adjoint routine: dx^* = L^T dy^* |
|---|
| 865 | !-------------------------------------------------------------------- |
|---|
| 866 | |
|---|
| 867 | ua_ad(:,:,:) = zua_adin(:,:,:) |
|---|
| 868 | va_ad(:,:,:) = zva_adin(:,:,:) |
|---|
| 869 | |
|---|
| 870 | CALL dyn_hpg_adj ( nit000 ) |
|---|
| 871 | |
|---|
| 872 | zgru_adout(:,:) = gru_ad(:,:) |
|---|
| 873 | zgrv_adout(:,:) = grv_ad(:,:) |
|---|
| 874 | zrhd_adout(:,:,:) = rhd_ad(:,:,:) |
|---|
| 875 | zua_adout(:,:,:) = ua_ad(:,:,:) |
|---|
| 876 | zva_adout(:,:,:) = va_ad(:,:,:) |
|---|
| 877 | |
|---|
| 878 | zsp2_1 = DOT_PRODUCT( zgru_tlin, zgru_adout ) |
|---|
| 879 | zsp2_2 = DOT_PRODUCT( zgrv_tlin, zgrv_adout ) |
|---|
| 880 | zsp2_3 = DOT_PRODUCT( zrhd_tlin, zrhd_adout ) |
|---|
| 881 | zsp2_4 = DOT_PRODUCT( zua_tlin, zua_adout ) |
|---|
| 882 | zsp2_5 = DOT_PRODUCT( zva_tlin, zva_adout ) |
|---|
| 883 | zsp2 = zsp2_1 + zsp2_2 + zsp2_3 + zsp2_4 + zsp2_5 |
|---|
| 884 | ! Compare the scalar products |
|---|
| 885 | |
|---|
| 886 | cl_name = 'dyn_hpg_adj ' |
|---|
| 887 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
|---|
| 888 | |
|---|
| 889 | DEALLOCATE( & |
|---|
| 890 | & zrhd_tlin, & |
|---|
| 891 | & zua_tlin, & |
|---|
| 892 | & zva_tlin, & |
|---|
| 893 | & zgru_tlin, & |
|---|
| 894 | & zgrv_tlin, & |
|---|
| 895 | & zua_tlout, & |
|---|
| 896 | & zva_tlout, & |
|---|
| 897 | & zrhd_adout, & |
|---|
| 898 | & zua_adout, & |
|---|
| 899 | & zva_adout, & |
|---|
| 900 | & zgru_adout, & |
|---|
| 901 | & zgrv_adout, & |
|---|
| 902 | & zua_adin, & |
|---|
| 903 | & zva_adin, & |
|---|
| 904 | & zrh, & |
|---|
| 905 | & zau, & |
|---|
| 906 | & zav, & |
|---|
| 907 | & zgru, & |
|---|
| 908 | & zgrv & |
|---|
| 909 | & ) |
|---|
| 910 | END SUBROUTINE dyn_hpg_adj_tst |
|---|
| 911 | #endif |
|---|
| 912 | END MODULE dynhpg_tam |
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