| 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 | !!---------------------------------------------------------------------- |
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| 22 | |
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| 23 | !!---------------------------------------------------------------------- |
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| 24 | !! dyn_hpg : update the momentum trend with the now horizontal |
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| 25 | !! gradient of the hydrostatic pressure |
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| 26 | !! hpg_ctl : initialisation and control of options |
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| 27 | !! hpg_zco : z-coordinate scheme |
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| 28 | !! hpg_zps : z-coordinate plus partial steps (interpolation) |
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| 29 | !! hpg_sco : s-coordinate (standard jacobian formulation) |
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| 30 | !! hpg_hel : s-coordinate (helsinki modification) |
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| 31 | !! hpg_wdj : s-coordinate (weighted density jacobian) |
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| 32 | !! hpg_djc : s-coordinate (Density Jacobian with Cubic polynomial) |
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| 33 | !! hpg_rot : s-coordinate (ROTated axes scheme) |
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| 34 | !!---------------------------------------------------------------------- |
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| 35 | USE par_kind, ONLY: & ! Precision variables |
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| 36 | & wp |
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| 37 | USE par_oce, ONLY: & ! Ocean space and time domain variables |
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| 38 | & jpi, & |
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| 39 | & jpj, & |
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| 40 | & jpk, & |
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| 41 | & jpim1, & |
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| 42 | & jpjm1, & |
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| 43 | & jpkm1, & |
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| 44 | & jpiglo |
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| 45 | USE oce_tam , ONLY: & ! ocean dynamics and tracers |
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| 46 | & ua_tl, & |
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| 47 | & va_tl, & |
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| 48 | & rhd_tl, & |
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| 49 | & ua_ad, & |
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| 50 | & va_ad, & |
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| 51 | & rhd_ad, & |
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| 52 | & gru_tl, & |
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| 53 | & grv_tl, & |
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| 54 | & gru_ad, & |
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| 55 | & grv_ad, & |
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| 56 | & tn_tl, sn_tl, & |
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| 57 | & gtu_tl, gtv_tl, & |
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| 58 | & gsu_tl, gsv_tl, & |
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| 59 | & rhop_tl |
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| 60 | USE dom_oce , ONLY: & ! ocean space and time domain |
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| 61 | & lk_vvl, & |
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| 62 | & e1u, & |
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| 63 | & e2u, & |
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| 64 | & e1v, & |
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| 65 | & e2v, & |
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| 66 | #if defined key_zco |
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| 67 | & e3t_0, & |
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| 68 | & e3w_0, & |
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| 69 | #else |
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| 70 | & e3u, & |
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| 71 | & e3v, & |
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| 72 | & e3w, & |
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| 73 | #endif |
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| 74 | & mbathy, & |
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| 75 | & umask, & |
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| 76 | & vmask, & |
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| 77 | & mig, & |
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| 78 | & mjg, & |
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| 79 | & nldi, & |
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| 80 | & nldj, & |
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| 81 | & nlei, & |
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| 82 | & nlej |
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| 83 | USE phycst , ONLY: & ! physical constants |
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| 84 | & grav |
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| 85 | USE in_out_manager, ONLY: & ! I/O manager |
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| 86 | & ctl_stop, & |
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| 87 | & lwp, & |
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| 88 | & numout, & |
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| 89 | & numnam, & |
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| 90 | & nit000, & |
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| 91 | & nitend |
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| 92 | USE gridrandom , ONLY: & ! Random Gaussian noise on grids |
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| 93 | & grid_random |
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| 94 | USE dotprodfld, ONLY: & ! Computes dot product for 3D and 2D fields |
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| 95 | & dot_product |
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| 96 | USE tstool_tam , ONLY: & |
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| 97 | & prntst_adj, & ! |
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| 98 | & prntst_tlm, & ! |
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| 99 | & stdu, & ! stdev for u-velocity |
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| 100 | & stdv, & ! v-velocity |
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| 101 | & stdr, & ! |
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| 102 | & stdt, & ! |
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| 103 | & stds |
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| 104 | |
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| 105 | IMPLICIT NONE |
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| 106 | PRIVATE |
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| 107 | |
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| 108 | PUBLIC dyn_hpg_tan ! routine called by step_tam module |
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| 109 | PUBLIC dyn_hpg_adj ! routine called by step_tam module |
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| 110 | PUBLIC dyn_hpg_adj_tst! routine called by test module |
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| 111 | #if defined key_tst_tlm |
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| 112 | PUBLIC dyn_hpg_tlm_tst! routine called by test module |
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| 113 | #endif |
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| 114 | |
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| 115 | !!* Namelist nam_dynhpg : Choice of horizontal pressure gradient computation |
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| 116 | LOGICAL :: ln_hpg_zco = .TRUE. ! z-coordinate - full steps |
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| 117 | LOGICAL :: ln_hpg_zps = .FALSE. ! z-coordinate - partial steps (interpolation) |
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| 118 | LOGICAL :: ln_hpg_sco = .FALSE. ! s-coordinate (standard jacobian formulation) |
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| 119 | LOGICAL :: ln_hpg_hel = .FALSE. ! s-coordinate (helsinki modification) |
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| 120 | LOGICAL :: ln_hpg_wdj = .FALSE. ! s-coordinate (weighted density jacobian) |
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| 121 | LOGICAL :: ln_hpg_djc = .FALSE. ! s-coordinate (Density Jacobian with Cubic polynomial) |
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| 122 | LOGICAL :: ln_hpg_rot = .FALSE. ! s-coordinate (ROTated axes scheme) |
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| 123 | REAL(wp) :: gamm = 0.e0 ! weighting coefficient |
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| 124 | |
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| 125 | INTEGER :: nhpg = 0 ! = 0 to 6, type of pressure gradient scheme used |
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| 126 | ! ! (deduced from ln_hpg_... flags) |
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| 127 | |
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| 128 | !! * Substitutions |
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| 129 | # include "domzgr_substitute.h90" |
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| 130 | # include "vectopt_loop_substitute.h90" |
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| 131 | |
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| 132 | CONTAINS |
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| 133 | |
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| 134 | SUBROUTINE dyn_hpg_tan( kt ) |
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| 135 | !!--------------------------------------------------------------------- |
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| 136 | !! *** ROUTINE dyn_hpg_tan *** |
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| 137 | !! |
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| 138 | !! ** Method of the direct routine: |
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| 139 | !! Call the hydrostatic pressure gradient routine |
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| 140 | !! using the scheme defined in the namelist |
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| 141 | !! |
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| 142 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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| 143 | !! - Save the trend (l_trddyn=T) |
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| 144 | !!---------------------------------------------------------------------- |
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| 145 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 146 | !! |
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| 147 | !!---------------------------------------------------------------------- |
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| 148 | IF( kt == nit000 ) CALL hpg_ctl_tam ! initialisation & control of options |
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| 149 | |
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| 150 | SELECT CASE ( nhpg ) ! Hydrastatic pressure gradient computation |
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| 151 | CASE ( 0 ) ; CALL hpg_zco_tan ( kt ) ! z-coordinate |
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| 152 | CASE ( 1 ) ; CALL hpg_zps_tan ( kt ) ! z-coordinate plus partial steps (interpolation) |
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| 153 | CASE ( 2 ) ; CALL hpg_sco_tan ( kt ) ! s-coordinate (standard jacobian formulation) |
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| 154 | CASE ( 3 ) ; CALL hpg_hel_tan ( kt ) ! s-coordinate (helsinki modification) |
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| 155 | CASE ( 4 ) ; CALL hpg_wdj_tan ( kt ) ! s-coordinate (weighted density jacobian) |
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| 156 | CASE ( 5 ) ; CALL hpg_djc_tan ( kt ) ! s-coordinate (Density Jacobian with Cubic polynomial) |
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| 157 | CASE ( 6 ) ; CALL hpg_rot_tan ( kt ) ! s-coordinate (ROTated axes scheme) |
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| 158 | END SELECT |
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| 159 | END SUBROUTINE dyn_hpg_tan |
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| 160 | SUBROUTINE dyn_hpg_adj( kt ) |
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| 161 | !!--------------------------------------------------------------------- |
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| 162 | !! *** ROUTINE dyn_hpg_adj *** |
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| 163 | !! |
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| 164 | !! ** Method of the direct routine: |
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| 165 | !! call the hydrostatic pressure gradient routine |
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| 166 | !! using the scheme defined in the namelist |
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| 167 | !! |
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| 168 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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| 169 | !! - Save the trend (l_trddyn=T) |
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| 170 | !!---------------------------------------------------------------------- |
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| 171 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 172 | !! |
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| 173 | !!---------------------------------------------------------------------- |
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| 174 | IF( kt == nitend ) CALL hpg_ctl_tam ! initialisation & control of options |
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| 175 | |
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| 176 | SELECT CASE ( nhpg ) ! Hydrastatic pressure gradient computation |
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| 177 | CASE ( 0 ) ; CALL hpg_zco_adj ( kt ) ! z-coordinate |
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| 178 | CASE ( 1 ) ; CALL hpg_zps_adj ( kt ) ! z-coordinate plus partial steps (interpolation) |
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| 179 | CASE ( 2 ) ; CALL hpg_sco_adj ( kt ) ! s-coordinate (standard jacobian formulation) |
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| 180 | CASE ( 3 ) ; CALL hpg_hel_adj ( kt ) ! s-coordinate (helsinki modification) |
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| 181 | CASE ( 4 ) ; CALL hpg_wdj_adj ( kt ) ! s-coordinate (weighted density jacobian) |
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| 182 | CASE ( 5 ) ; CALL hpg_djc_adj ( kt ) ! s-coordinate (Density Jacobian with Cubic polynomial) |
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| 183 | CASE ( 6 ) ; CALL hpg_rot_adj ( kt ) ! s-coordinate (ROTated axes scheme) |
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| 184 | END SELECT |
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| 185 | END SUBROUTINE dyn_hpg_adj |
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| 186 | |
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| 187 | SUBROUTINE hpg_ctl_tam |
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| 188 | !!---------------------------------------------------------------------- |
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| 189 | !! *** ROUTINE hpg_ctl_tam *** |
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| 190 | !! |
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| 191 | !! ** Purpose : initializations for the hydrostatic pressure gradient |
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| 192 | !! computation and consistency control |
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| 193 | !! |
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| 194 | !! ** Action : Read the namelist namdynhpg and check the consistency |
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| 195 | !! with the type of vertical coordinate used (zco, zps, sco) |
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| 196 | !!---------------------------------------------------------------------- |
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| 197 | INTEGER :: ioptio = 0 ! temporary integer |
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| 198 | |
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| 199 | NAMELIST/nam_dynhpg/ ln_hpg_zco, ln_hpg_zps, ln_hpg_sco, ln_hpg_hel, & |
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| 200 | & ln_hpg_wdj, ln_hpg_djc, ln_hpg_rot, gamm |
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| 201 | !!---------------------------------------------------------------------- |
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| 202 | |
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| 203 | REWIND ( numnam ) ! Read Namelist nam_dynhpg : pressure gradient calculation options |
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| 204 | READ ( numnam, nam_dynhpg ) |
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| 205 | |
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| 206 | IF(lwp) THEN ! Control print |
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| 207 | WRITE(numout,*) |
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| 208 | WRITE(numout,*) 'dyn:hpg_ctl_tam : hydrostatic pressure gradient control' |
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| 209 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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| 210 | WRITE(numout,*) ' Namelist nam_dynhpg : choice of hpg scheme' |
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| 211 | WRITE(numout,*) ' z-coord. - full steps ln_hpg_zco = ', ln_hpg_zco |
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| 212 | WRITE(numout,*) ' z-coord. - partial steps (interpolation) ln_hpg_zps = ', ln_hpg_zps |
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| 213 | WRITE(numout,*) ' s-coord. (standard jacobian formulation) ln_hpg_sco = ', ln_hpg_sco |
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| 214 | WRITE(numout,*) ' s-coord. (helsinki modification) ln_hpg_hel = ', ln_hpg_hel |
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| 215 | WRITE(numout,*) ' s-coord. (weighted density jacobian) ln_hpg_wdj = ', ln_hpg_wdj |
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| 216 | WRITE(numout,*) ' s-coord. (Density Jacobian: Cubic polynomial) ln_hpg_djc = ', ln_hpg_djc |
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| 217 | WRITE(numout,*) ' s-coord. (ROTated axes scheme) ln_hpg_rot = ', ln_hpg_rot |
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| 218 | WRITE(numout,*) ' weighting coeff. (wdj scheme) gamm = ', gamm |
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| 219 | ENDIF |
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| 220 | |
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| 221 | IF( lk_vvl .AND. .NOT. ln_hpg_sco ) THEN |
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| 222 | CALL ctl_stop( 'hpg_ctl_tam : variable volume key_vvl compatible only with the standard jacobian formulation hpg_sco') |
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| 223 | ENDIF |
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| 224 | |
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| 225 | ! ! Set nhpg from ln_hpg_... flags |
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| 226 | IF( ln_hpg_zco ) nhpg = 0 |
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| 227 | IF( ln_hpg_zps ) nhpg = 1 |
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| 228 | IF( ln_hpg_sco ) nhpg = 2 |
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| 229 | IF( ln_hpg_hel ) nhpg = 3 |
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| 230 | IF( ln_hpg_wdj ) nhpg = 4 |
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| 231 | IF( ln_hpg_djc ) nhpg = 5 |
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| 232 | IF( ln_hpg_rot ) nhpg = 6 |
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| 233 | |
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| 234 | ! ! Consitency check |
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| 235 | ioptio = 0 |
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| 236 | IF( ln_hpg_zco ) ioptio = ioptio + 1 |
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| 237 | IF( ln_hpg_zps ) ioptio = ioptio + 1 |
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| 238 | IF( ln_hpg_sco ) ioptio = ioptio + 1 |
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| 239 | IF( ln_hpg_hel ) ioptio = ioptio + 1 |
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| 240 | IF( ln_hpg_wdj ) ioptio = ioptio + 1 |
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| 241 | IF( ln_hpg_djc ) ioptio = ioptio + 1 |
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| 242 | IF( ln_hpg_rot ) ioptio = ioptio + 1 |
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| 243 | IF ( ioptio /= 1 ) CALL ctl_stop( ' NO or several hydrostatic pressure gradient options used' ) |
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| 244 | |
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| 245 | ! |
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| 246 | END SUBROUTINE hpg_ctl_tam |
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| 247 | SUBROUTINE hpg_zco_tan( kt ) |
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| 248 | !!--------------------------------------------------------------------- |
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| 249 | !! *** ROUTINE hpg_zco_tan *** |
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| 250 | !! |
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| 251 | !! ** Method of the direct routine: |
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| 252 | !! z-coordinate case, levels are horizontal surfaces. |
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| 253 | !! The now hydrostatic pressure gradient at a given level, jk, |
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| 254 | !! is computed by taking the vertical integral of the in-situ |
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| 255 | !! density gradient along the model level from the suface to that |
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| 256 | !! level: zhpi = grav ..... |
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| 257 | !! zhpj = grav ..... |
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| 258 | !! add it to the general momentum trend (ua,va). |
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| 259 | !! ua = ua - 1/e1u * zhpi |
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| 260 | !! va = va - 1/e2v * zhpj |
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| 261 | !! |
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| 262 | !! ** Action : - Update (ua_tl,va_tl) with the now hydrastatic pressure trend |
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| 263 | !!---------------------------------------------------------------------- |
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| 264 | !! |
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| 265 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 266 | !! |
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| 267 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 268 | REAL(wp) :: zcoef0, zcoef1 ! temporary scalars |
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| 269 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpitl, zhpjtl |
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| 270 | !!---------------------------------------------------------------------- |
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| 271 | |
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| 272 | IF( kt == nit000 ) THEN |
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| 273 | IF(lwp) WRITE(numout,*) |
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| 274 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zco_tan : hydrostatic pressure gradient trend' |
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| 275 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinate case ' |
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| 276 | ENDIF |
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| 277 | |
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| 278 | ! Local constant initialization |
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| 279 | zcoef0 = - grav * 0.5_wp |
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| 280 | |
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| 281 | ! Surface value |
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| 282 | DO jj = 2, jpjm1 |
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| 283 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 284 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
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| 285 | ! hydrostatic pressure gradient |
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| 286 | zhpitl(ji,jj,1) = zcoef1 * ( rhd_tl(ji+1,jj,1) - rhd_tl(ji,jj,1) ) / e1u(ji,jj) |
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| 287 | zhpjtl(ji,jj,1) = zcoef1 * ( rhd_tl(ji,jj+1,1) - rhd_tl(ji,jj,1) ) / e2v(ji,jj) |
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| 288 | ! add to the general momentum trend |
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| 289 | ua_tl(ji,jj,1) = ua_tl(ji,jj,1) + zhpitl(ji,jj,1) |
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| 290 | va_tl(ji,jj,1) = va_tl(ji,jj,1) + zhpjtl(ji,jj,1) |
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| 291 | END DO |
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| 292 | END DO |
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| 293 | ! |
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| 294 | ! interior value (2=<jk=<jpkm1) |
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| 295 | DO jk = 2, jpkm1 |
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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 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
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| 299 | ! hydrostatic pressure gradient |
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| 300 | zhpitl(ji,jj,jk) = zhpitl(ji,jj,jk-1) & |
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| 301 | & + zcoef1 * ( ( rhd_tl(ji+1,jj,jk)+rhd_tl(ji+1,jj,jk-1) ) & |
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| 302 | & - ( rhd_tl(ji ,jj,jk)+rhd_tl(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
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| 303 | |
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| 304 | zhpjtl(ji,jj,jk) = zhpjtl(ji,jj,jk-1) & |
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| 305 | & + zcoef1 * ( ( rhd_tl(ji,jj+1,jk)+rhd_tl(ji,jj+1,jk-1) ) & |
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| 306 | & - ( rhd_tl(ji,jj, jk)+rhd_tl(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
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| 307 | ! add to the general momentum trend |
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| 308 | ua_tl(ji,jj,jk) = ua_tl(ji,jj,jk) + zhpitl(ji,jj,jk) |
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| 309 | va_tl(ji,jj,jk) = va_tl(ji,jj,jk) + zhpjtl(ji,jj,jk) |
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| 310 | END DO |
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| 311 | END DO |
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| 312 | END DO |
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| 313 | ! |
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| 314 | END SUBROUTINE hpg_zco_tan |
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| 315 | SUBROUTINE hpg_zco_adj( kt ) |
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| 316 | !!--------------------------------------------------------------------- |
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| 317 | !! *** ROUTINE hpg_zco_tan *** |
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| 318 | !! |
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| 319 | !! ** Method of the direct routine: |
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| 320 | !! z-coordinate case, levels are horizontal surfaces. |
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| 321 | !! The now hydrostatic pressure gradient at a given level, jk, |
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| 322 | !! is computed by taking the vertical integral of the in-situ |
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| 323 | !! density gradient along the model level from the suface to that |
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| 324 | !! level: zhpi = grav ..... |
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| 325 | !! zhpj = grav ..... |
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| 326 | !! add it to the general momentum trend (ua,va). |
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| 327 | !! ua = ua - 1/e1u * zhpi |
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| 328 | !! va = va - 1/e2v * zhpj |
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| 329 | !! |
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| 330 | !! ** Action : - Update (ua_tl,va_tl) with the now hydrastatic pressure trend |
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| 331 | !!---------------------------------------------------------------------- |
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| 332 | !! |
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| 333 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 334 | !! |
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| 335 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 336 | REAL(wp) :: zcoef0, zcoef1 ! temporary scalars |
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| 337 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpiad, zhpjad |
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| 338 | !!---------------------------------------------------------------------- |
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| 339 | |
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| 340 | IF( kt == nitend ) THEN |
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| 341 | IF(lwp) WRITE(numout,*) |
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| 342 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zco_adj : hydrostatic pressure gradient trend' |
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| 343 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinate case ' |
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| 344 | ENDIF |
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| 345 | ! adjoint variables initialization |
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| 346 | zhpiad = 0.0_wp |
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| 347 | zhpjad = 0.0_wp |
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| 348 | ! Local constant initialization |
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| 349 | zcoef0 = - grav * 0.5 |
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| 350 | |
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| 351 | ! interior value (2=<jk=<jpkm1) |
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| 352 | DO jk = jpkm1, 2, -1 |
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| 353 | DO jj = jpjm1, 2, -1 |
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| 354 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
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| 355 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
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| 356 | ! add to the general momentum trend |
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| 357 | zhpiad(ji,jj,jk) = zhpiad(ji,jj,jk) + ua_ad(ji,jj,jk) |
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| 358 | zhpjad(ji,jj,jk) = zhpjad(ji,jj,jk) + va_ad(ji,jj,jk) |
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| 359 | ! hydrostatic pressure gradient |
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| 360 | rhd_ad(ji,jj+1,jk ) = rhd_ad(ji,jj+1,jk ) + zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
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| 361 | 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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| 362 | rhd_ad(ji,jj ,jk ) = rhd_ad(ji,jj ,jk ) - zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
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| 363 | rhd_ad(ji,jj ,jk-1) = rhd_ad(ji,jj ,jk-1) - zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 364 | zhpjad(ji,jj ,jk-1) = zhpjad(ji,jj ,jk-1) + zhpjad(ji,jj,jk) |
|---|
| 365 | zhpjad(ji,jj ,jk ) = 0.0_wp |
|---|
| 366 | |
|---|
| 367 | rhd_ad(ji+1,jj,jk ) = rhd_ad(ji+1,jj,jk ) + zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 368 | rhd_ad(ji+1,jj,jk-1) = rhd_ad(ji+1,jj,jk-1) + zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 369 | rhd_ad(ji ,jj,jk ) = rhd_ad(ji ,jj,jk ) - zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 370 | rhd_ad(ji ,jj,jk-1) = rhd_ad(ji ,jj,jk-1) - zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 371 | zhpiad(ji ,jj,jk-1) = zhpiad(ji ,jj,jk-1) + zhpiad(ji,jj,jk) |
|---|
| 372 | zhpiad(ji ,jj,jk ) = 0.0_wp |
|---|
| 373 | |
|---|
| 374 | END DO |
|---|
| 375 | END DO |
|---|
| 376 | END DO |
|---|
| 377 | ! Surface value |
|---|
| 378 | DO jj = 2, jpjm1 |
|---|
| 379 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 380 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
|---|
| 381 | ! add to the general momentum trend |
|---|
| 382 | zhpiad(ji,jj,1) = zhpiad(ji,jj,1) + ua_ad(ji,jj,1) |
|---|
| 383 | zhpjad(ji,jj,1) = zhpjad(ji,jj,1) + va_ad(ji,jj,1) |
|---|
| 384 | ! hydrostatic pressure gradient |
|---|
| 385 | rhd_ad(ji,jj+1,1) = rhd_ad(ji,jj+1,1) + zhpjad(ji,jj,1) * zcoef1 / e2v(ji,jj) |
|---|
| 386 | rhd_ad(ji,jj ,1) = rhd_ad(ji,jj ,1) - zhpjad(ji,jj,1) * zcoef1 / e2v(ji,jj) |
|---|
| 387 | zhpjad(ji,jj,1) = 0.0_wp |
|---|
| 388 | |
|---|
| 389 | rhd_ad(ji+1,jj,1) = rhd_ad(ji+1,jj,1) + zhpiad(ji,jj,1) * zcoef1 / e1u(ji,jj) |
|---|
| 390 | rhd_ad(ji ,jj,1) = rhd_ad(ji ,jj,1) - zhpiad(ji,jj,1) * zcoef1 / e1u(ji,jj) |
|---|
| 391 | zhpiad(ji,jj,1) = 0.0_wp |
|---|
| 392 | END DO |
|---|
| 393 | END DO |
|---|
| 394 | ! |
|---|
| 395 | ! |
|---|
| 396 | END SUBROUTINE hpg_zco_adj |
|---|
| 397 | SUBROUTINE hpg_zps_tan( kt ) |
|---|
| 398 | !!--------------------------------------------------------------------- |
|---|
| 399 | !! *** ROUTINE hpg_zps *** |
|---|
| 400 | !! |
|---|
| 401 | !! ** Method of the direct routine: |
|---|
| 402 | !! z-coordinate plus partial steps case. blahblah... |
|---|
| 403 | !! |
|---|
| 404 | !! ** Action : - Update (ua_tl,va_tl) with the now hydrastatic pressure trend |
|---|
| 405 | !!---------------------------------------------------------------------- |
|---|
| 406 | !! |
|---|
| 407 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 408 | !! |
|---|
| 409 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 410 | INTEGER :: iku, ikv ! temporary integers |
|---|
| 411 | REAL(wp) :: zcoef0, zcoef1, zcoef2, zcoef3 ! temporary scalars |
|---|
| 412 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpitl, zhpjtl |
|---|
| 413 | !!---------------------------------------------------------------------- |
|---|
| 414 | |
|---|
| 415 | IF( kt == nit000 ) THEN |
|---|
| 416 | IF(lwp) WRITE(numout,*) |
|---|
| 417 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zps_tan : hydrostatic pressure gradient trend' |
|---|
| 418 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinate with partial steps - vector optimization' |
|---|
| 419 | ENDIF |
|---|
| 420 | |
|---|
| 421 | ! Local constant initialization |
|---|
| 422 | zcoef0 = - grav * 0.5 |
|---|
| 423 | |
|---|
| 424 | ! Surface value |
|---|
| 425 | DO jj = 2, jpjm1 |
|---|
| 426 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 427 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
|---|
| 428 | ! hydrostatic pressure gradient |
|---|
| 429 | zhpitl(ji,jj,1) = zcoef1 * ( rhd_tl(ji+1,jj ,1) - rhd_tl(ji,jj,1) ) / e1u(ji,jj) |
|---|
| 430 | zhpjtl(ji,jj,1) = zcoef1 * ( rhd_tl(ji ,jj+1,1) - rhd_tl(ji,jj,1) ) / e2v(ji,jj) |
|---|
| 431 | ! add to the general momentum trend |
|---|
| 432 | ua_tl(ji,jj,1) = ua_tl(ji,jj,1) + zhpitl(ji,jj,1) |
|---|
| 433 | va_tl(ji,jj,1) = va_tl(ji,jj,1) + zhpjtl(ji,jj,1) |
|---|
| 434 | END DO |
|---|
| 435 | END DO |
|---|
| 436 | |
|---|
| 437 | ! interior value (2=<jk=<jpkm1) |
|---|
| 438 | DO jk = 2, jpkm1 |
|---|
| 439 | DO jj = 2, jpjm1 |
|---|
| 440 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 441 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
|---|
| 442 | ! hydrostatic pressure gradient |
|---|
| 443 | zhpitl(ji,jj,jk) = zhpitl(ji,jj,jk-1) & |
|---|
| 444 | & + zcoef1 * ( ( rhd_tl(ji+1,jj,jk) + rhd_tl(ji+1,jj,jk-1) ) & |
|---|
| 445 | & - ( rhd_tl(ji ,jj,jk) + rhd_tl(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
|---|
| 446 | |
|---|
| 447 | zhpjtl(ji,jj,jk) = zhpjtl(ji,jj,jk-1) & |
|---|
| 448 | & + zcoef1 * ( ( rhd_tl(ji,jj+1,jk) + rhd_tl(ji,jj+1,jk-1) ) & |
|---|
| 449 | & - ( rhd_tl(ji,jj, jk) + rhd_tl(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
|---|
| 450 | ! add to the general momentum trend |
|---|
| 451 | ua_tl(ji,jj,jk) = ua_tl(ji,jj,jk) + zhpitl(ji,jj,jk) |
|---|
| 452 | va_tl(ji,jj,jk) = va_tl(ji,jj,jk) + zhpjtl(ji,jj,jk) |
|---|
| 453 | END DO |
|---|
| 454 | END DO |
|---|
| 455 | END DO |
|---|
| 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 = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
|---|
| 461 | # else |
|---|
| 462 | DO jj = 2, jpjm1 |
|---|
| 463 | DO ji = 2, jpim1 |
|---|
| 464 | # endif |
|---|
| 465 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 |
|---|
| 466 | ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 |
|---|
| 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 | ! subtract old value |
|---|
| 472 | ua_tl(ji,jj,iku) = ua_tl(ji,jj,iku) - zhpitl(ji,jj,iku) |
|---|
| 473 | ! compute the new one |
|---|
| 474 | zhpitl (ji,jj,iku) = zhpitl(ji,jj,iku-1) & |
|---|
| 475 | + zcoef2 * ( rhd_tl(ji+1,jj,iku-1) - rhd_tl(ji,jj,iku-1) + gru_tl(ji,jj) ) / e1u(ji,jj) |
|---|
| 476 | ! add the new one to the general momentum trend |
|---|
| 477 | ua_tl(ji,jj,iku) = ua_tl(ji,jj,iku) + zhpitl(ji,jj,iku) |
|---|
| 478 | ENDIF |
|---|
| 479 | ! on j-direction |
|---|
| 480 | IF ( ikv > 2 ) THEN |
|---|
| 481 | ! subtract old value |
|---|
| 482 | va_tl(ji,jj,ikv) = va_tl(ji,jj,ikv) - zhpjtl(ji,jj,ikv) |
|---|
| 483 | ! compute the new one |
|---|
| 484 | zhpjtl (ji,jj,ikv) = zhpjtl(ji,jj,ikv-1) & |
|---|
| 485 | + zcoef3 * ( rhd_tl(ji,jj+1,ikv-1) - rhd_tl(ji,jj,ikv-1) + grv_tl(ji,jj) ) / e2v(ji,jj) |
|---|
| 486 | ! add the new one to the general momentum trend |
|---|
| 487 | va_tl(ji,jj,ikv) = va_tl(ji,jj,ikv) + zhpjtl(ji,jj,ikv) |
|---|
| 488 | ENDIF |
|---|
| 489 | # if ! defined key_vectopt_loop |
|---|
| 490 | END DO |
|---|
| 491 | # endif |
|---|
| 492 | END DO |
|---|
| 493 | ! |
|---|
| 494 | END SUBROUTINE hpg_zps_tan |
|---|
| 495 | SUBROUTINE hpg_zps_adj( kt ) |
|---|
| 496 | !!--------------------------------------------------------------------- |
|---|
| 497 | !! *** ROUTINE hpg_zps *** |
|---|
| 498 | !! |
|---|
| 499 | !! ** Method of the direct routine: |
|---|
| 500 | !! z-coordinate plus partial steps case. blahblah... |
|---|
| 501 | !! |
|---|
| 502 | !! ** Action : - Update (ua_tl,va_tl) with the now hydrastatic pressure trend |
|---|
| 503 | !!---------------------------------------------------------------------- |
|---|
| 504 | !! |
|---|
| 505 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 506 | !! |
|---|
| 507 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 508 | INTEGER :: iku, ikv ! temporary integers |
|---|
| 509 | REAL(wp) :: zcoef0, zcoef1, zcoef2, zcoef3 ! temporary scalars |
|---|
| 510 | REAL(wp), DIMENSION(jpi,jpj,jpk):: zhpiad, zhpjad |
|---|
| 511 | !!---------------------------------------------------------------------- |
|---|
| 512 | |
|---|
| 513 | IF( kt == nitend ) THEN |
|---|
| 514 | IF(lwp) WRITE(numout,*) |
|---|
| 515 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zps_adj : hydrostatic pressure gradient trend' |
|---|
| 516 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinate with partial steps - vector optimization' |
|---|
| 517 | ENDIF |
|---|
| 518 | zhpiad(:,:,:) = 0.0_wp |
|---|
| 519 | zhpjad(:,:,:) = 0.0_wp |
|---|
| 520 | ! Local constant initialization |
|---|
| 521 | zcoef0 = - grav * 0.5 |
|---|
| 522 | |
|---|
| 523 | ! partial steps correction at the last level (new gradient with intgrd.F) |
|---|
| 524 | # if defined key_vectopt_loop |
|---|
| 525 | jj = 1 |
|---|
| 526 | DO ji = jpij-jpi-1, jpi+2, -1 ! vector opt. (forced unrolling) |
|---|
| 527 | # else |
|---|
| 528 | DO jj = jpjm1, 2, -1 |
|---|
| 529 | DO ji = jpim1, 2, -1 |
|---|
| 530 | # endif |
|---|
| 531 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 |
|---|
| 532 | ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 |
|---|
| 533 | zcoef2 = zcoef0 * MIN( fse3w(ji,jj,iku), fse3w(ji+1,jj ,iku) ) |
|---|
| 534 | zcoef3 = zcoef0 * MIN( fse3w(ji,jj,ikv), fse3w(ji ,jj+1,ikv) ) |
|---|
| 535 | ! on i-direction |
|---|
| 536 | IF ( iku > 2 ) THEN |
|---|
| 537 | ! add the new one to the general momentum trend |
|---|
| 538 | zhpiad(ji,jj,iku) = zhpiad(ji,jj,iku) + ua_ad(ji,jj,iku) |
|---|
| 539 | ! compute the new one |
|---|
| 540 | rhd_ad(ji+1,jj,iku-1) = rhd_ad(ji+1,jj,iku-1) + zhpiad (ji,jj,iku) * zcoef2 / e1u(ji,jj) |
|---|
| 541 | rhd_ad(ji,jj,iku-1) = rhd_ad(ji,jj,iku-1) - zhpiad (ji,jj,iku) * zcoef2 / e1u(ji,jj) |
|---|
| 542 | gru_ad(ji,jj) = gru_ad(ji,jj) + zhpiad (ji,jj,iku) * zcoef2 / e1u(ji,jj) |
|---|
| 543 | zhpiad(ji,jj,iku-1) = zhpiad(ji,jj,iku-1) + zhpiad (ji,jj,iku) |
|---|
| 544 | zhpiad (ji,jj,iku) = 0.0_wp |
|---|
| 545 | ! subtract old value |
|---|
| 546 | zhpiad(ji,jj,iku) = zhpiad(ji,jj,iku) - ua_ad(ji,jj,iku) |
|---|
| 547 | ENDIF |
|---|
| 548 | ! on j-direction |
|---|
| 549 | IF ( ikv > 2 ) THEN |
|---|
| 550 | ! add the new one to the general momentum trend |
|---|
| 551 | zhpjad(ji,jj,ikv) = zhpjad(ji,jj,ikv) + va_ad(ji,jj,ikv) |
|---|
| 552 | ! compute the new one |
|---|
| 553 | rhd_ad(ji,jj+1,ikv-1) = rhd_ad(ji,jj+1,ikv-1) + zhpjad (ji,jj,ikv) * zcoef3 / e2v(ji,jj) |
|---|
| 554 | rhd_ad(ji,jj,ikv-1) = rhd_ad(ji,jj,ikv-1) -zhpjad (ji,jj,ikv) * zcoef3 / e2v(ji,jj) |
|---|
| 555 | grv_ad(ji,jj) = grv_ad(ji,jj) +zhpjad (ji,jj,ikv) * zcoef3 / e2v(ji,jj) |
|---|
| 556 | zhpjad(ji,jj,ikv-1) = zhpjad(ji,jj,ikv-1) + zhpjad(ji,jj,ikv) |
|---|
| 557 | zhpjad (ji,jj,ikv) = 0.0_wp |
|---|
| 558 | ! subtract old value |
|---|
| 559 | zhpjad(ji,jj,ikv) = zhpjad(ji,jj,ikv) - va_ad(ji,jj,ikv) |
|---|
| 560 | ENDIF |
|---|
| 561 | # if ! defined key_vectopt_loop |
|---|
| 562 | END DO |
|---|
| 563 | # endif |
|---|
| 564 | END DO |
|---|
| 565 | ! |
|---|
| 566 | |
|---|
| 567 | |
|---|
| 568 | ! interior value (2=<jk=<jpkm1) |
|---|
| 569 | DO jk = jpkm1, 2, -1 |
|---|
| 570 | DO jj = jpjm1, 2, -1 |
|---|
| 571 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
|---|
| 572 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
|---|
| 573 | ! add to the general momentum trend |
|---|
| 574 | zhpiad(ji,jj,jk) = zhpiad(ji,jj,jk) + ua_ad(ji,jj,jk) |
|---|
| 575 | zhpjad(ji,jj,jk) = zhpjad(ji,jj,jk) + va_ad(ji,jj,jk) |
|---|
| 576 | ! hydrostatic pressure gradient |
|---|
| 577 | rhd_ad(ji,jj+1,jk ) = rhd_ad(ji,jj+1,jk ) + zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 578 | rhd_ad(ji,jj+1,jk-1) = rhd_ad(ji,jj+1,jk-1) + zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 579 | rhd_ad(ji,jj ,jk ) = rhd_ad(ji,jj ,jk ) - zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 580 | rhd_ad(ji,jj ,jk-1) = rhd_ad(ji,jj ,jk-1) - zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 581 | zhpjad(ji,jj ,jk-1) = zhpjad(ji,jj ,jk-1) + zhpjad(ji,jj,jk) |
|---|
| 582 | zhpjad(ji,jj ,jk ) = 0.0_wp |
|---|
| 583 | |
|---|
| 584 | rhd_ad(ji+1,jj,jk ) = rhd_ad(ji+1,jj,jk ) + zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 585 | rhd_ad(ji+1,jj,jk-1) = rhd_ad(ji+1,jj,jk-1) + zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 586 | rhd_ad(ji ,jj,jk ) = rhd_ad(ji ,jj,jk ) - zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 587 | rhd_ad(ji ,jj,jk-1) = rhd_ad(ji ,jj,jk-1) - zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 588 | zhpiad(ji ,jj,jk-1) = zhpiad(ji ,jj,jk-1) + zhpiad(ji,jj,jk) |
|---|
| 589 | zhpiad(ji ,jj,jk ) = 0.0_wp |
|---|
| 590 | END DO |
|---|
| 591 | END DO |
|---|
| 592 | END DO |
|---|
| 593 | ! Surface value |
|---|
| 594 | DO jj = jpjm1, 2, -1 |
|---|
| 595 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
|---|
| 596 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
|---|
| 597 | ! add to the general momentum trend |
|---|
| 598 | zhpiad(ji,jj,1) = zhpiad(ji,jj,1) + ua_ad(ji,jj,1) |
|---|
| 599 | zhpjad(ji,jj,1) = zhpjad(ji,jj,1) + va_ad(ji,jj,1) |
|---|
| 600 | ! hydrostatic pressure gradient |
|---|
| 601 | rhd_ad(ji+1,jj ,1) = rhd_ad(ji+1,jj ,1) + zhpiad(ji,jj,1) * zcoef1 / e1u(ji,jj) |
|---|
| 602 | rhd_ad(ji ,jj ,1) = rhd_ad(ji ,jj ,1) - zhpiad(ji,jj,1) * zcoef1 / e1u(ji,jj) |
|---|
| 603 | rhd_ad(ji ,jj+1,1) = rhd_ad(ji ,jj+1,1) + zhpjad(ji,jj,1) * zcoef1 / e2v(ji,jj) |
|---|
| 604 | rhd_ad(ji ,jj ,1) = rhd_ad(ji ,jj ,1) - zhpjad(ji,jj,1) * zcoef1 / e2v(ji,jj) |
|---|
| 605 | zhpiad(ji ,jj ,1) = 0.0_wp |
|---|
| 606 | zhpjad(ji ,jj ,1) = 0.0_wp |
|---|
| 607 | END DO |
|---|
| 608 | END DO |
|---|
| 609 | |
|---|
| 610 | END SUBROUTINE hpg_zps_adj |
|---|
| 611 | SUBROUTINE hpg_sco_tan( kt ) |
|---|
| 612 | !!--------------------------------------------------------------------- |
|---|
| 613 | !! *** ROUTINE hpg_sco_tan *** |
|---|
| 614 | !! |
|---|
| 615 | !! ** Method of the direct routine: s-coordinate case. Jacobian scheme. |
|---|
| 616 | !! The now hydrostatic pressure gradient at a given level, jk, |
|---|
| 617 | !! is computed by taking the vertical integral of the in-situ |
|---|
| 618 | !! density gradient along the model level from the suface to that |
|---|
| 619 | !! level. s-coordinates (ln_sco): a corrective term is added |
|---|
| 620 | !! to the horizontal pressure gradient : |
|---|
| 621 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
|---|
| 622 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
|---|
| 623 | !! add it to the general momentum trend (ua,va). |
|---|
| 624 | !! ua = ua - 1/e1u * zhpi |
|---|
| 625 | !! va = va - 1/e2v * zhpj |
|---|
| 626 | !! |
|---|
| 627 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
|---|
| 628 | !!---------------------------------------------------------------------- |
|---|
| 629 | !! |
|---|
| 630 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 631 | CALL ctl_stop( 'hpg_sco_tan not available yet') |
|---|
| 632 | END SUBROUTINE hpg_sco_tan |
|---|
| 633 | SUBROUTINE hpg_sco_adj( kt ) |
|---|
| 634 | !!--------------------------------------------------------------------- |
|---|
| 635 | !! *** ROUTINE hpg_sco_adj *** |
|---|
| 636 | !! |
|---|
| 637 | !! ** Method of the direct routine: s-coordinate case. Jacobian scheme. |
|---|
| 638 | !! The now hydrostatic pressure gradient at a given level, jk, |
|---|
| 639 | !! is computed by taking the vertical integral of the in-situ |
|---|
| 640 | !! density gradient along the model level from the suface to that |
|---|
| 641 | !! level. s-coordinates (ln_sco): a corrective term is added |
|---|
| 642 | !! to the horizontal pressure gradient : |
|---|
| 643 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
|---|
| 644 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
|---|
| 645 | !! add it to the general momentum trend (ua,va). |
|---|
| 646 | !! ua = ua - 1/e1u * zhpi |
|---|
| 647 | !! va = va - 1/e2v * zhpj |
|---|
| 648 | !! |
|---|
| 649 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
|---|
| 650 | !!---------------------------------------------------------------------- |
|---|
| 651 | !! |
|---|
| 652 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 653 | CALL ctl_stop( 'hpg_sco_adj not available yet') |
|---|
| 654 | END SUBROUTINE hpg_sco_adj |
|---|
| 655 | SUBROUTINE hpg_hel_tan( kt ) |
|---|
| 656 | !!--------------------------------------------------------------------- |
|---|
| 657 | !! *** ROUTINE hpg_hel_tan *** |
|---|
| 658 | !! |
|---|
| 659 | !! ** Method of the direct routine: s-coordinate case. |
|---|
| 660 | !! The now hydrostatic pressure gradient at a given level |
|---|
| 661 | !! jk is computed by taking the vertical integral of the in-situ |
|---|
| 662 | !! density gradient along the model level from the suface to that |
|---|
| 663 | !! level. s-coordinates (ln_sco): a corrective term is added |
|---|
| 664 | !! to the horizontal pressure gradient : |
|---|
| 665 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
|---|
| 666 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
|---|
| 667 | !! add it to the general momentum trend (ua,va). |
|---|
| 668 | !! ua = ua - 1/e1u * zhpi |
|---|
| 669 | !! va = va - 1/e2v * zhpj |
|---|
| 670 | !! |
|---|
| 671 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
|---|
| 672 | !! - Save the trend (l_trddyn=T) |
|---|
| 673 | !!---------------------------------------------------------------------- |
|---|
| 674 | !! |
|---|
| 675 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 676 | CALL ctl_stop( 'hpg_hel_tan not available yet') |
|---|
| 677 | END SUBROUTINE hpg_hel_tan |
|---|
| 678 | SUBROUTINE hpg_hel_adj( kt ) |
|---|
| 679 | !!--------------------------------------------------------------------- |
|---|
| 680 | !! *** ROUTINE hpg_hel_adj *** |
|---|
| 681 | !! |
|---|
| 682 | !! ** Method of the direct routine: s-coordinate case. |
|---|
| 683 | !! The now hydrostatic pressure gradient at a given level |
|---|
| 684 | !! jk is computed by taking the vertical integral of the in-situ |
|---|
| 685 | !! density gradient along the model level from the suface to that |
|---|
| 686 | !! level. s-coordinates (ln_sco): a corrective term is added |
|---|
| 687 | !! to the horizontal pressure gradient : |
|---|
| 688 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
|---|
| 689 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
|---|
| 690 | !! add it to the general momentum trend (ua,va). |
|---|
| 691 | !! ua = ua - 1/e1u * zhpi |
|---|
| 692 | !! va = va - 1/e2v * zhpj |
|---|
| 693 | !! |
|---|
| 694 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
|---|
| 695 | !! - Save the trend (l_trddyn=T) |
|---|
| 696 | !!---------------------------------------------------------------------- |
|---|
| 697 | !! |
|---|
| 698 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 699 | CALL ctl_stop( 'hpg_hel_adj not available yet') |
|---|
| 700 | END SUBROUTINE hpg_hel_adj |
|---|
| 701 | SUBROUTINE hpg_wdj_tan( kt ) |
|---|
| 702 | !!--------------------------------------------------------------------- |
|---|
| 703 | !! *** ROUTINE hpg_wdj_tan *** |
|---|
| 704 | !! |
|---|
| 705 | !! ** Method of the direct roiutine: |
|---|
| 706 | !! Weighted Density Jacobian (wdj) scheme (song 1998) |
|---|
| 707 | !! The weighting coefficients from the namelist parameter gamm |
|---|
| 708 | !! (alpha=0.5-gamm ; beta=1-alpha=0.5+gamm) |
|---|
| 709 | !! |
|---|
| 710 | !! Reference : Song, Mon. Wea. Rev., 126, 3213-3230, 1998. |
|---|
| 711 | !!---------------------------------------------------------------------- |
|---|
| 712 | !! |
|---|
| 713 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 714 | CALL ctl_stop( 'hpg_wdj_tan not available yet') |
|---|
| 715 | END SUBROUTINE hpg_wdj_tan |
|---|
| 716 | SUBROUTINE hpg_wdj_adj( kt ) |
|---|
| 717 | !!--------------------------------------------------------------------- |
|---|
| 718 | !! *** ROUTINE hpg_wdj_adj *** |
|---|
| 719 | !! |
|---|
| 720 | !! ** Method of the direct roiutine: |
|---|
| 721 | !! Weighted Density Jacobian (wdj) scheme (song 1998) |
|---|
| 722 | !! The weighting coefficients from the namelist parameter gamm |
|---|
| 723 | !! (alpha=0.5-gamm ; beta=1-alpha=0.5+gamm) |
|---|
| 724 | !! |
|---|
| 725 | !! Reference : Song, Mon. Wea. Rev., 126, 3213-3230, 1998. |
|---|
| 726 | !!---------------------------------------------------------------------- |
|---|
| 727 | !! |
|---|
| 728 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 729 | CALL ctl_stop( 'hpg_wdj_adj not available yet') |
|---|
| 730 | END SUBROUTINE hpg_wdj_adj |
|---|
| 731 | SUBROUTINE hpg_djc_tan( kt ) |
|---|
| 732 | !!--------------------------------------------------------------------- |
|---|
| 733 | !! *** ROUTINE hpg_djc_tan *** |
|---|
| 734 | !! |
|---|
| 735 | !! ** Method : Density Jacobian with Cubic polynomial scheme |
|---|
| 736 | !! |
|---|
| 737 | !! Reference: Shchepetkin and McWilliams, J. Geophys. Res., 108(C3), 3090, 2003 |
|---|
| 738 | !!---------------------------------------------------------------------- |
|---|
| 739 | !! |
|---|
| 740 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 741 | !! |
|---|
| 742 | CALL ctl_stop( 'hpg_djc_tan not available yet') |
|---|
| 743 | END SUBROUTINE hpg_djc_tan |
|---|
| 744 | SUBROUTINE hpg_djc_adj( kt ) |
|---|
| 745 | !!--------------------------------------------------------------------- |
|---|
| 746 | !! *** ROUTINE hpg_djc_adj *** |
|---|
| 747 | !! |
|---|
| 748 | !! ** Method : Density Jacobian with Cubic polynomial scheme |
|---|
| 749 | !! |
|---|
| 750 | !! Reference: Shchepetkin and McWilliams, J. Geophys. Res., 108(C3), 3090, 2003 |
|---|
| 751 | !!---------------------------------------------------------------------- |
|---|
| 752 | !! |
|---|
| 753 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 754 | !! |
|---|
| 755 | CALL ctl_stop( 'hpg_djc_adj not available yet') |
|---|
| 756 | END SUBROUTINE hpg_djc_adj |
|---|
| 757 | SUBROUTINE hpg_rot_tan( kt ) |
|---|
| 758 | !!--------------------------------------------------------------------- |
|---|
| 759 | !! *** ROUTINE hpg_rot_tan *** |
|---|
| 760 | !! |
|---|
| 761 | !! ** Method : rotated axes scheme (Thiem and Berntsen 2005) |
|---|
| 762 | !! |
|---|
| 763 | !! Reference: Thiem & Berntsen, Ocean Modelling, In press, 2005. |
|---|
| 764 | !!---------------------------------------------------------------------- |
|---|
| 765 | !! |
|---|
| 766 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 767 | !! |
|---|
| 768 | CALL ctl_stop( 'hpg_rot_tan not available yet') |
|---|
| 769 | END SUBROUTINE hpg_rot_tan |
|---|
| 770 | SUBROUTINE hpg_rot_adj( kt ) |
|---|
| 771 | !!--------------------------------------------------------------------- |
|---|
| 772 | !! *** ROUTINE hpg_rot_adj *** |
|---|
| 773 | !! |
|---|
| 774 | !! ** Method : rotated axes scheme (Thiem and Berntsen 2005) |
|---|
| 775 | !! |
|---|
| 776 | !! Reference: Thiem & Berntsen, Ocean Modelling, In press, 2005. |
|---|
| 777 | !!---------------------------------------------------------------------- |
|---|
| 778 | !! |
|---|
| 779 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 780 | !! |
|---|
| 781 | CALL ctl_stop( 'hpg_rot_adj not available yet') |
|---|
| 782 | END SUBROUTINE hpg_rot_adj |
|---|
| 783 | |
|---|
| 784 | SUBROUTINE dyn_hpg_adj_tst( kumadt ) |
|---|
| 785 | !!----------------------------------------------------------------------- |
|---|
| 786 | !! |
|---|
| 787 | !! *** ROUTINE dynhpg_adj_tst *** |
|---|
| 788 | !! |
|---|
| 789 | !! ** Purpose : Test the adjoint routine. |
|---|
| 790 | !! |
|---|
| 791 | !! ** Method : Verify the scalar product |
|---|
| 792 | !! |
|---|
| 793 | !! ( L dx )^T W dy = dx^T L^T W dy |
|---|
| 794 | !! |
|---|
| 795 | !! where L = tangent routine |
|---|
| 796 | !! L^T = adjoint routine |
|---|
| 797 | !! W = diagonal matrix of scale factors |
|---|
| 798 | !! dx = input perturbation (random field) |
|---|
| 799 | !! dy = L dx |
|---|
| 800 | !! |
|---|
| 801 | !! ** Action : Separate tests are applied for the following dx and dy: |
|---|
| 802 | !! |
|---|
| 803 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
|---|
| 804 | !! |
|---|
| 805 | !! History : |
|---|
| 806 | !! ! 08-07 (A. Vidard) |
|---|
| 807 | !!----------------------------------------------------------------------- |
|---|
| 808 | !! * Modules used |
|---|
| 809 | |
|---|
| 810 | !! * Arguments |
|---|
| 811 | INTEGER, INTENT(IN) :: & |
|---|
| 812 | & kumadt ! Output unit |
|---|
| 813 | |
|---|
| 814 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
|---|
| 815 | & zrhd_tlin, & ! in situ density anomalie |
|---|
| 816 | & zua_tlin, & ! after u- velocity |
|---|
| 817 | & zva_tlin, & ! after v- velocity |
|---|
| 818 | & zua_tlout, & ! after u- velocity |
|---|
| 819 | & zva_tlout ! after v- velocity |
|---|
| 820 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
|---|
| 821 | & zrhd_adout, & ! in situ density anomalie |
|---|
| 822 | & zua_adout, & ! after u- velocity |
|---|
| 823 | & zva_adout, & ! after v- velocity |
|---|
| 824 | & zua_adin, & ! after u- velocity |
|---|
| 825 | & zva_adin ! after v- velocity |
|---|
| 826 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
|---|
| 827 | & zgru_tlin, & |
|---|
| 828 | & zgrv_tlin, & |
|---|
| 829 | & zgru_adout, & |
|---|
| 830 | & zgrv_adout |
|---|
| 831 | |
|---|
| 832 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
|---|
| 833 | & zrh, & ! 3D random field for rhd |
|---|
| 834 | & zau, & ! 3D random field for u |
|---|
| 835 | & zav ! 3D random field for v |
|---|
| 836 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
|---|
| 837 | & zgru, & ! 2D random field for gru |
|---|
| 838 | & zgrv ! 2D random field for grv |
|---|
| 839 | REAL(KIND=wp) :: & |
|---|
| 840 | & zsp1, & ! scalar product involving the tangent routine |
|---|
| 841 | & zsp1_1, & ! scalar product components |
|---|
| 842 | & zsp1_2, & |
|---|
| 843 | & zsp2, & ! scalar product involving the adjoint routine |
|---|
| 844 | & zsp2_1, & ! scalar product components |
|---|
| 845 | & zsp2_2, & |
|---|
| 846 | & zsp2_3, & |
|---|
| 847 | & zsp2_4, & |
|---|
| 848 | & zsp2_5 |
|---|
| 849 | INTEGER, DIMENSION(jpi,jpj) :: & |
|---|
| 850 | & iseed_2d ! 2D seed for the random number generator |
|---|
| 851 | INTEGER :: & |
|---|
| 852 | & iseed, & |
|---|
| 853 | & ji, & |
|---|
| 854 | & jj, & |
|---|
| 855 | & jk |
|---|
| 856 | CHARACTER(LEN=14) :: cl_name |
|---|
| 857 | |
|---|
| 858 | ! Allocate memory |
|---|
| 859 | ALLOCATE( & |
|---|
| 860 | & zrhd_tlin(jpi,jpj,jpk), & |
|---|
| 861 | & zua_tlin(jpi,jpj,jpk), & |
|---|
| 862 | & zva_tlin(jpi,jpj,jpk), & |
|---|
| 863 | & zgru_tlin(jpi,jpj), & |
|---|
| 864 | & zgrv_tlin(jpi,jpj), & |
|---|
| 865 | & zua_tlout(jpi,jpj,jpk), & |
|---|
| 866 | & zva_tlout(jpi,jpj,jpk), & |
|---|
| 867 | & zrhd_adout(jpi,jpj,jpk), & |
|---|
| 868 | & zua_adout(jpi,jpj,jpk), & |
|---|
| 869 | & zva_adout(jpi,jpj,jpk), & |
|---|
| 870 | & zgru_adout(jpi,jpj), & |
|---|
| 871 | & zgrv_adout(jpi,jpj), & |
|---|
| 872 | & zua_adin(jpi,jpj,jpk), & |
|---|
| 873 | & zva_adin(jpi,jpj,jpk), & |
|---|
| 874 | & zrh(jpi,jpj,jpk), & |
|---|
| 875 | & zau(jpi,jpj,jpk), & |
|---|
| 876 | & zav(jpi,jpj,jpk), & |
|---|
| 877 | & zgru(jpi,jpj), & |
|---|
| 878 | & zgrv(jpi,jpj) & |
|---|
| 879 | & ) |
|---|
| 880 | |
|---|
| 881 | |
|---|
| 882 | !================================================================== |
|---|
| 883 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
|---|
| 884 | ! dy = ( hdivb_tl, hdivn_tl ) |
|---|
| 885 | !================================================================== |
|---|
| 886 | |
|---|
| 887 | !-------------------------------------------------------------------- |
|---|
| 888 | ! Reset the tangent and adjoint variables |
|---|
| 889 | !-------------------------------------------------------------------- |
|---|
| 890 | zrhd_tlin(:,:,:) = 0.0_wp |
|---|
| 891 | zua_tlin(:,:,:) = 0.0_wp |
|---|
| 892 | zva_tlin(:,:,:) = 0.0_wp |
|---|
| 893 | zgru_tlin(:,:) = 0.0_wp |
|---|
| 894 | zgrv_tlin(:,:) = 0.0_wp |
|---|
| 895 | zua_tlout(:,:,:) = 0.0_wp |
|---|
| 896 | zva_tlout(:,:,:) = 0.0_wp |
|---|
| 897 | zgru_adout(:,:) = 0.0_wp |
|---|
| 898 | zgrv_adout(:,:) = 0.0_wp |
|---|
| 899 | zrhd_adout(:,:,:) = 0.0_wp |
|---|
| 900 | zua_adout(:,:,:) = 0.0_wp |
|---|
| 901 | zva_adout(:,:,:) = 0.0_wp |
|---|
| 902 | zua_adin(:,:,:) = 0.0_wp |
|---|
| 903 | zva_adin(:,:,:) = 0.0_wp |
|---|
| 904 | zrh(:,:,:) = 0.0_wp |
|---|
| 905 | zau(:,:,:) = 0.0_wp |
|---|
| 906 | zav(:,:,:) = 0.0_wp |
|---|
| 907 | zgru(:,:) = 0.0_wp |
|---|
| 908 | zgrv(:,:) = 0.0_wp |
|---|
| 909 | |
|---|
| 910 | |
|---|
| 911 | gru_tl(:,:) = 0.0_wp |
|---|
| 912 | grv_tl(:,:) = 0.0_wp |
|---|
| 913 | gru_ad(:,:) = 0.0_wp |
|---|
| 914 | grv_ad(:,:) = 0.0_wp |
|---|
| 915 | ua_tl(:,:,:) = 0.0_wp |
|---|
| 916 | va_tl(:,:,:) = 0.0_wp |
|---|
| 917 | rhd_tl(:,:,:) = 0.0_wp |
|---|
| 918 | ua_ad(:,:,:) = 0.0_wp |
|---|
| 919 | va_ad(:,:,:) = 0.0_wp |
|---|
| 920 | rhd_ad(:,:,:) = 0.0_wp |
|---|
| 921 | |
|---|
| 922 | !-------------------------------------------------------------------- |
|---|
| 923 | ! Initialize the tangent input with random noise: dx |
|---|
| 924 | !-------------------------------------------------------------------- |
|---|
| 925 | |
|---|
| 926 | DO jj = 1, jpj |
|---|
| 927 | DO ji = 1, jpi |
|---|
| 928 | iseed_2d(ji,jj) = - ( 596035 + & |
|---|
| 929 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 930 | END DO |
|---|
| 931 | END DO |
|---|
| 932 | CALL grid_random( iseed_2d, zau, 'U', 0.0_wp, stdu ) |
|---|
| 933 | |
|---|
| 934 | DO jj = 1, jpj |
|---|
| 935 | DO ji = 1, jpi |
|---|
| 936 | iseed_2d(ji,jj) = - ( 523432 + & |
|---|
| 937 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 938 | END DO |
|---|
| 939 | END DO |
|---|
| 940 | CALL grid_random( iseed_2d, zav, 'V', 0.0_wp, stdv ) |
|---|
| 941 | |
|---|
| 942 | DO jj = 1, jpj |
|---|
| 943 | DO ji = 1, jpi |
|---|
| 944 | iseed_2d(ji,jj) = - ( 456953 + & |
|---|
| 945 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 946 | END DO |
|---|
| 947 | END DO |
|---|
| 948 | CALL grid_random( iseed_2d, zrh, 'W', 0.0_wp, stdr ) |
|---|
| 949 | |
|---|
| 950 | DO jj = 1, jpj |
|---|
| 951 | DO ji = 1, jpi |
|---|
| 952 | iseed_2d(ji,jj) = - ( 432545 + & |
|---|
| 953 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 954 | END DO |
|---|
| 955 | END DO |
|---|
| 956 | CALL grid_random( iseed_2d, zgru, 'U', 0.0_wp, stdu ) |
|---|
| 957 | |
|---|
| 958 | DO jj = 1, jpj |
|---|
| 959 | DO ji = 1, jpi |
|---|
| 960 | iseed_2d(ji,jj) = - ( 287503 + & |
|---|
| 961 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 962 | END DO |
|---|
| 963 | END DO |
|---|
| 964 | CALL grid_random( iseed_2d, zgrv, 'V', 0.0_wp, stdv ) |
|---|
| 965 | |
|---|
| 966 | DO jk = 1, jpk |
|---|
| 967 | DO jj = nldj, nlej |
|---|
| 968 | DO ji = nldi, nlei |
|---|
| 969 | zrhd_tlin(ji,jj,jk) = zrh(ji,jj,jk) |
|---|
| 970 | zua_tlin(ji,jj,jk) = zau(ji,jj,jk) |
|---|
| 971 | zva_tlin(ji,jj,jk) = zav(ji,jj,jk) |
|---|
| 972 | END DO |
|---|
| 973 | END DO |
|---|
| 974 | END DO |
|---|
| 975 | DO jj = nldj, nlej |
|---|
| 976 | DO ji = nldi, nlei |
|---|
| 977 | zgru_tlin(ji,jj) = zgru(ji,jj) |
|---|
| 978 | zgrv_tlin(ji,jj) = zgrv(ji,jj) |
|---|
| 979 | END DO |
|---|
| 980 | END DO |
|---|
| 981 | ua_tl(:,:,:) = zua_tlin(:,:,:) |
|---|
| 982 | va_tl(:,:,:) = zva_tlin(:,:,:) |
|---|
| 983 | rhd_tl(:,:,:) = zrhd_tlin(:,:,:) |
|---|
| 984 | gru_tl(:,:) = zgru_tlin(:,:) |
|---|
| 985 | grv_tl(:,:) = zgrv_tlin(:,:) |
|---|
| 986 | |
|---|
| 987 | CALL dyn_hpg_tan ( nit000 ) |
|---|
| 988 | |
|---|
| 989 | zua_tlout(:,:,:) = ua_tl(:,:,:) |
|---|
| 990 | zva_tlout(:,:,:) = va_tl(:,:,:) |
|---|
| 991 | !-------------------------------------------------------------------- |
|---|
| 992 | ! Initialize the adjoint variables: dy^* = W dy |
|---|
| 993 | !-------------------------------------------------------------------- |
|---|
| 994 | |
|---|
| 995 | DO jk = 1, jpk |
|---|
| 996 | DO jj = nldj, nlej |
|---|
| 997 | DO ji = nldi, nlei |
|---|
| 998 | zua_adin(ji,jj,jk) = zua_tlout(ji,jj,jk) & |
|---|
| 999 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) & |
|---|
| 1000 | & * umask(ji,jj,jk) |
|---|
| 1001 | zva_adin(ji,jj,jk) = zva_tlout(ji,jj,jk) & |
|---|
| 1002 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) & |
|---|
| 1003 | & * vmask(ji,jj,jk) |
|---|
| 1004 | END DO |
|---|
| 1005 | END DO |
|---|
| 1006 | END DO |
|---|
| 1007 | !-------------------------------------------------------------------- |
|---|
| 1008 | ! Compute the scalar product: ( L dx )^T W dy |
|---|
| 1009 | !-------------------------------------------------------------------- |
|---|
| 1010 | |
|---|
| 1011 | zsp1_1 = DOT_PRODUCT( zua_tlout, zua_adin ) |
|---|
| 1012 | zsp1_2 = DOT_PRODUCT( zva_tlout, zva_adin ) |
|---|
| 1013 | zsp1 = zsp1_1 + zsp1_2 |
|---|
| 1014 | |
|---|
| 1015 | !-------------------------------------------------------------------- |
|---|
| 1016 | ! Call the adjoint routine: dx^* = L^T dy^* |
|---|
| 1017 | !-------------------------------------------------------------------- |
|---|
| 1018 | |
|---|
| 1019 | ua_ad(:,:,:) = zua_adin(:,:,:) |
|---|
| 1020 | va_ad(:,:,:) = zva_adin(:,:,:) |
|---|
| 1021 | |
|---|
| 1022 | CALL dyn_hpg_adj ( nit000 ) |
|---|
| 1023 | |
|---|
| 1024 | zgru_adout(:,:) = gru_ad(:,:) |
|---|
| 1025 | zgrv_adout(:,:) = grv_ad(:,:) |
|---|
| 1026 | zrhd_adout(:,:,:) = rhd_ad(:,:,:) |
|---|
| 1027 | zua_adout(:,:,:) = ua_ad(:,:,:) |
|---|
| 1028 | zva_adout(:,:,:) = va_ad(:,:,:) |
|---|
| 1029 | |
|---|
| 1030 | zsp2_1 = DOT_PRODUCT( zgru_tlin, zgru_adout ) |
|---|
| 1031 | zsp2_2 = DOT_PRODUCT( zgrv_tlin, zgrv_adout ) |
|---|
| 1032 | zsp2_3 = DOT_PRODUCT( zrhd_tlin, zrhd_adout ) |
|---|
| 1033 | zsp2_4 = DOT_PRODUCT( zua_tlin, zua_adout ) |
|---|
| 1034 | zsp2_5 = DOT_PRODUCT( zva_tlin, zva_adout ) |
|---|
| 1035 | zsp2 = zsp2_1 + zsp2_2 + zsp2_3 + zsp2_4 + zsp2_5 |
|---|
| 1036 | ! Compare the scalar products |
|---|
| 1037 | |
|---|
| 1038 | cl_name = 'dyn_hpg_adj ' |
|---|
| 1039 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
|---|
| 1040 | |
|---|
| 1041 | DEALLOCATE( & |
|---|
| 1042 | & zrhd_tlin, & |
|---|
| 1043 | & zua_tlin, & |
|---|
| 1044 | & zva_tlin, & |
|---|
| 1045 | & zgru_tlin, & |
|---|
| 1046 | & zgrv_tlin, & |
|---|
| 1047 | & zua_tlout, & |
|---|
| 1048 | & zva_tlout, & |
|---|
| 1049 | & zrhd_adout, & |
|---|
| 1050 | & zua_adout, & |
|---|
| 1051 | & zva_adout, & |
|---|
| 1052 | & zgru_adout, & |
|---|
| 1053 | & zgrv_adout, & |
|---|
| 1054 | & zua_adin, & |
|---|
| 1055 | & zva_adin, & |
|---|
| 1056 | & zrh, & |
|---|
| 1057 | & zau, & |
|---|
| 1058 | & zav, & |
|---|
| 1059 | & zgru, & |
|---|
| 1060 | & zgrv & |
|---|
| 1061 | & ) |
|---|
| 1062 | END SUBROUTINE dyn_hpg_adj_tst |
|---|
| 1063 | #if defined key_tst_tlm |
|---|
| 1064 | SUBROUTINE dyn_hpg_tlm_tst( kumadt ) |
|---|
| 1065 | !!----------------------------------------------------------------------- |
|---|
| 1066 | !! |
|---|
| 1067 | !! *** ROUTINE dyn_hpg_tlm_tst *** |
|---|
| 1068 | !! |
|---|
| 1069 | !! ** Purpose : Test the adjoint routine. |
|---|
| 1070 | !! |
|---|
| 1071 | !! ** Method : Verify the tangent with Taylor expansion |
|---|
| 1072 | !! |
|---|
| 1073 | !! M(x+hdx) = M(x) + L(hdx) + O(h^2) |
|---|
| 1074 | !! |
|---|
| 1075 | !! where L = tangent routine |
|---|
| 1076 | !! M = direct routine |
|---|
| 1077 | !! dx = input perturbation (random field) |
|---|
| 1078 | !! h = ration on perturbation |
|---|
| 1079 | !! |
|---|
| 1080 | !! History : |
|---|
| 1081 | !! ! 09-08 (A. Vigilant) |
|---|
| 1082 | !!----------------------------------------------------------------------- |
|---|
| 1083 | !! * Modules used |
|---|
| 1084 | USE dynhpg |
|---|
| 1085 | USE zpshde |
|---|
| 1086 | USE eosbn2, ONLY: & ! horizontal & vertical advective trend |
|---|
| 1087 | & eos |
|---|
| 1088 | USE zpshde_tam |
|---|
| 1089 | USE eosbn2_tam, ONLY: & ! horizontal & vertical advective trend |
|---|
| 1090 | & eos_tan |
|---|
| 1091 | USE tamtrj ! writing out state trajectory |
|---|
| 1092 | USE par_tlm, ONLY: & |
|---|
| 1093 | & tlm_bch, & |
|---|
| 1094 | & cur_loop, & |
|---|
| 1095 | & h_ratio |
|---|
| 1096 | USE istate_mod |
|---|
| 1097 | USE divcur ! horizontal divergence and relative vorticity |
|---|
| 1098 | USE wzvmod ! vertical velocity |
|---|
| 1099 | USE gridrandom, ONLY: & |
|---|
| 1100 | & grid_rd_sd |
|---|
| 1101 | USE trj_tam |
|---|
| 1102 | USE oce , ONLY: & ! ocean dynamics and tracers variables |
|---|
| 1103 | & ua, va, rhd, & |
|---|
| 1104 | & gru, grv, & |
|---|
| 1105 | & un, vn, & |
|---|
| 1106 | & tn, sn, gtu, gtv, & |
|---|
| 1107 | & gsu, gsv, rhop |
|---|
| 1108 | USE opatam_tst_ini, ONLY: & |
|---|
| 1109 | & tlm_namrd |
|---|
| 1110 | USE tamctl, ONLY: & ! Control parameters |
|---|
| 1111 | & numtan, numtan_sc |
|---|
| 1112 | !! * Arguments |
|---|
| 1113 | INTEGER, INTENT(IN) :: & |
|---|
| 1114 | & kumadt ! Output unit |
|---|
| 1115 | !! * Local declarations |
|---|
| 1116 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
|---|
| 1117 | & zrd_tlin, & ! in situ density anomalie |
|---|
| 1118 | & zua_tlin, & ! after u- velocity |
|---|
| 1119 | & zva_tlin, & ! after v- velocity |
|---|
| 1120 | & ztn_tlin, & ! after u- velocity |
|---|
| 1121 | & zsn_tlin, & ! after v- velocity |
|---|
| 1122 | & zua_wop, & ! after u- velocity |
|---|
| 1123 | & zva_wop, & ! after v- velocity |
|---|
| 1124 | & zua_out, & ! after u- velocity |
|---|
| 1125 | & zva_out ! after v- velocity |
|---|
| 1126 | |
|---|
| 1127 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
|---|
| 1128 | & zgru_tlin, & |
|---|
| 1129 | & zgrv_tlin |
|---|
| 1130 | |
|---|
| 1131 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
|---|
| 1132 | & zrh, & ! 3D random field for rhd |
|---|
| 1133 | & zau, & ! 3D random field for u |
|---|
| 1134 | & zav ! 3D random field for v |
|---|
| 1135 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
|---|
| 1136 | & zgru, & ! 2D random field for gru |
|---|
| 1137 | & zgrv ! 2D random field for grv |
|---|
| 1138 | |
|---|
| 1139 | REAL(KIND=wp) :: & |
|---|
| 1140 | & zsp1, & ! scalar product |
|---|
| 1141 | & zsp1_1, & ! scalar product |
|---|
| 1142 | & zsp1_2, & |
|---|
| 1143 | & zsp2, & ! scalar product |
|---|
| 1144 | & zsp2_1, & ! scalar product |
|---|
| 1145 | & zsp2_2, & |
|---|
| 1146 | & zsp3, & ! scalar product |
|---|
| 1147 | & zsp3_1, & |
|---|
| 1148 | & zsp3_2, & |
|---|
| 1149 | & zzsp, & ! scalar product |
|---|
| 1150 | & zzsp_1, & |
|---|
| 1151 | & zzsp_2, & |
|---|
| 1152 | & gamma, & |
|---|
| 1153 | & zgsp1, & |
|---|
| 1154 | & zgsp2, & |
|---|
| 1155 | & zgsp3, & |
|---|
| 1156 | & zgsp4, & |
|---|
| 1157 | & zgsp5, & |
|---|
| 1158 | & zgsp6, & |
|---|
| 1159 | & zgsp7 |
|---|
| 1160 | INTEGER :: & |
|---|
| 1161 | & ji, & |
|---|
| 1162 | & jj, & |
|---|
| 1163 | & jk |
|---|
| 1164 | CHARACTER(LEN=14) :: cl_name |
|---|
| 1165 | CHARACTER (LEN=128) :: file_out, file_wop, file_xdx |
|---|
| 1166 | CHARACTER (LEN=90) :: FMT |
|---|
| 1167 | REAL(KIND=wp), DIMENSION(100):: & |
|---|
| 1168 | & zscua, zscva, & |
|---|
| 1169 | & zscerrua, & |
|---|
| 1170 | & zscerrva |
|---|
| 1171 | INTEGER, DIMENSION(100):: & |
|---|
| 1172 | & iiposua, iiposva, & |
|---|
| 1173 | & ijposua, ijposva, & |
|---|
| 1174 | & ikposua, ikposva |
|---|
| 1175 | INTEGER:: & |
|---|
| 1176 | & ii, & |
|---|
| 1177 | & isamp=40, & |
|---|
| 1178 | & jsamp=40, & |
|---|
| 1179 | & ksamp=10, & |
|---|
| 1180 | & numsctlm |
|---|
| 1181 | REAL(KIND=wp), DIMENSION(jpi,jpj,jpk) :: & |
|---|
| 1182 | & zerrua, zerrva |
|---|
| 1183 | ! Allocate memory |
|---|
| 1184 | ALLOCATE( & |
|---|
| 1185 | & zrd_tlin(jpi,jpj,jpk), & |
|---|
| 1186 | & zua_tlin(jpi,jpj,jpk), & |
|---|
| 1187 | & zva_tlin(jpi,jpj,jpk), & |
|---|
| 1188 | & ztn_tlin(jpi,jpj,jpk), & |
|---|
| 1189 | & zsn_tlin(jpi,jpj,jpk), & |
|---|
| 1190 | & zgru_tlin(jpi,jpj), & |
|---|
| 1191 | & zgrv_tlin(jpi,jpj), & |
|---|
| 1192 | & zua_wop (jpi,jpj,jpk), & |
|---|
| 1193 | & zva_wop (jpi,jpj,jpk), & |
|---|
| 1194 | & zua_out (jpi,jpj,jpk), & |
|---|
| 1195 | & zva_out (jpi,jpj,jpk), & |
|---|
| 1196 | & zrh( jpi,jpj,jpk), & |
|---|
| 1197 | & zau( jpi,jpj,jpk), & |
|---|
| 1198 | & zav( jpi,jpj,jpk), & |
|---|
| 1199 | & zgru( jpi,jpj), & |
|---|
| 1200 | & zgrv( jpi,jpj) & |
|---|
| 1201 | & ) |
|---|
| 1202 | |
|---|
| 1203 | !-------------------------------------------------------------------- |
|---|
| 1204 | ! Reset variables |
|---|
| 1205 | !-------------------------------------------------------------------- |
|---|
| 1206 | zrd_tlin( :,:,:) = 0.0_wp |
|---|
| 1207 | zgru_tlin( :,:) = 0.0_wp |
|---|
| 1208 | zgrv_tlin( :,:) = 0.0_wp |
|---|
| 1209 | zua_tlin( :,:,:) = 0.0_wp |
|---|
| 1210 | zva_tlin( :,:,:) = 0.0_wp |
|---|
| 1211 | ztn_tlin( :,:,:) = 0.0_wp |
|---|
| 1212 | zsn_tlin( :,:,:) = 0.0_wp |
|---|
| 1213 | zua_out ( :,:,:) = 0.0_wp |
|---|
| 1214 | zva_out ( :,:,:) = 0.0_wp |
|---|
| 1215 | zua_wop ( :,:,:) = 0.0_wp |
|---|
| 1216 | zva_wop ( :,:,:) = 0.0_wp |
|---|
| 1217 | |
|---|
| 1218 | zrh(:,:,:) = 0.0_wp |
|---|
| 1219 | zau(:,:,:) = 0.0_wp |
|---|
| 1220 | zav(:,:,:) = 0.0_wp |
|---|
| 1221 | zgru(:,:) = 0.0_wp |
|---|
| 1222 | zgrv(:,:) = 0.0_wp |
|---|
| 1223 | |
|---|
| 1224 | zscua(:) = 0.0_wp |
|---|
| 1225 | zscva(:) = 0.0_wp |
|---|
| 1226 | zscerrua(:) = 0.0_wp |
|---|
| 1227 | zscerrva(:) = 0.0_wp |
|---|
| 1228 | zerrua(:,:,:) = 0.0_wp |
|---|
| 1229 | zerrva(:,:,:) = 0.0_wp |
|---|
| 1230 | !-------------------------------------------------------------------- |
|---|
| 1231 | ! Output filename Xn=F(X0) |
|---|
| 1232 | !-------------------------------------------------------------------- |
|---|
| 1233 | CALL tlm_namrd |
|---|
| 1234 | gamma = h_ratio |
|---|
| 1235 | file_wop='trj_wop_dynhpg' |
|---|
| 1236 | file_xdx='trj_xdx_dynhpg' |
|---|
| 1237 | !-------------------------------------------------------------------- |
|---|
| 1238 | ! Initialize the tangent input with random noise: dx |
|---|
| 1239 | !-------------------------------------------------------------------- |
|---|
| 1240 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
|---|
| 1241 | CALL grid_rd_sd( 596035, zau, 'U', 0.0_wp, stdu) |
|---|
| 1242 | CALL grid_rd_sd( 523432, zav, 'V', 0.0_wp, stdv) |
|---|
| 1243 | CALL grid_rd_sd( 456953, zrh, 'W', 0.0_wp, stdr) |
|---|
| 1244 | CALL grid_rd_sd( 432545, zgru, 'U', 0.0_wp, stdu) |
|---|
| 1245 | CALL grid_rd_sd( 287503, zgrv, 'V', 0.0_wp, stdv) |
|---|
| 1246 | DO jk = 1, jpk |
|---|
| 1247 | DO jj = nldj, nlej |
|---|
| 1248 | DO ji = nldi, nlei |
|---|
| 1249 | zrd_tlin(ji,jj,jk) = zrh(ji,jj,jk) |
|---|
| 1250 | zua_tlin(ji,jj,jk) = zau(ji,jj,jk) |
|---|
| 1251 | zva_tlin(ji,jj,jk) = zav(ji,jj,jk) |
|---|
| 1252 | END DO |
|---|
| 1253 | END DO |
|---|
| 1254 | END DO |
|---|
| 1255 | |
|---|
| 1256 | DO jj = nldj, nlej |
|---|
| 1257 | DO ji = nldi, nlei |
|---|
| 1258 | zgru_tlin(ji,jj) = zgru(ji,jj) |
|---|
| 1259 | zgrv_tlin(ji,jj) = zgrv(ji,jj) |
|---|
| 1260 | END DO |
|---|
| 1261 | END DO |
|---|
| 1262 | ENDIF |
|---|
| 1263 | !-------------------------------------------------------------------- |
|---|
| 1264 | ! Complete Init for Direct |
|---|
| 1265 | !------------------------------------------------------------------- |
|---|
| 1266 | IF ( tlm_bch /= 2 ) CALL istate_p |
|---|
| 1267 | |
|---|
| 1268 | ! *** initialize the reference trajectory |
|---|
| 1269 | ! ------------ |
|---|
| 1270 | CALL trj_rea( nit000-1, 1 ) |
|---|
| 1271 | ! CALL trj_rea( nit000, 1 ) |
|---|
| 1272 | ua(:,:,:) = un(:,:,:) |
|---|
| 1273 | va(:,:,:) = vn(:,:,:) |
|---|
| 1274 | |
|---|
| 1275 | ! Compute rhd, gru and grv |
|---|
| 1276 | CALL eos(tn, sn, rhd, rhop) |
|---|
| 1277 | CALL zps_hde(nit000, tn, sn, rhd, gtu, gsu, gru, gtv, gsv, grv) |
|---|
| 1278 | |
|---|
| 1279 | |
|---|
| 1280 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
|---|
| 1281 | |
|---|
| 1282 | zrd_tlin(:,:,:) = gamma * zrd_tlin(:,:,:) |
|---|
| 1283 | rhd(:,:,:) = rhd(:,:,:) + zrd_tlin(:,:,:) |
|---|
| 1284 | |
|---|
| 1285 | zua_tlin(:,:,:) = gamma * zua_tlin(:,:,:) |
|---|
| 1286 | ua(:,:,:) = ua(:,:,:) + zua_tlin(:,:,:) |
|---|
| 1287 | |
|---|
| 1288 | zva_tlin(:,:,:) = gamma * zva_tlin(:,:,:) |
|---|
| 1289 | va(:,:,:) = va(:,:,:) + zva_tlin(:,:,:) |
|---|
| 1290 | |
|---|
| 1291 | zgru_tlin(:,:) = gamma * zgru_tlin(:,:) |
|---|
| 1292 | gru(:,:) = gru(:,:) + zgru_tlin(:,:) |
|---|
| 1293 | |
|---|
| 1294 | zgrv_tlin(:,:) = gamma * zgrv_tlin(:,:) |
|---|
| 1295 | grv(:,:) = grv(:,:) + zgrv_tlin(:,:) |
|---|
| 1296 | ENDIF |
|---|
| 1297 | !-------------------------------------------------------------------- |
|---|
| 1298 | ! Compute the direct model F(X0,t=n) = Xn |
|---|
| 1299 | !-------------------------------------------------------------------- |
|---|
| 1300 | IF ( tlm_bch /= 2 ) CALL dyn_hpg(nit000) |
|---|
| 1301 | IF ( tlm_bch == 0 ) CALL trj_wri_spl(file_wop) |
|---|
| 1302 | IF ( tlm_bch == 1 ) CALL trj_wri_spl(file_xdx) |
|---|
| 1303 | !-------------------------------------------------------------------- |
|---|
| 1304 | ! Compute the Tangent |
|---|
| 1305 | !-------------------------------------------------------------------- |
|---|
| 1306 | IF ( tlm_bch == 2 ) THEN |
|---|
| 1307 | !-------------------------------------------------------------------- |
|---|
| 1308 | ! Initialize the tangent variables |
|---|
| 1309 | !-------------------------------------------------------------------- |
|---|
| 1310 | CALL trj_rea( nit000-1, 1 ) |
|---|
| 1311 | ! CALL trj_rea( nit000, 1 ) |
|---|
| 1312 | ua(:,:,:) = un(:,:,:) |
|---|
| 1313 | va(:,:,:) = vn(:,:,:) |
|---|
| 1314 | gru_tl ( :,:) = zgru_tlin (:,: ) |
|---|
| 1315 | grv_tl ( :,:) = zgrv_tlin (:,: ) |
|---|
| 1316 | rhd_tl (:,:,:) = zrd_tlin (:,:,:) |
|---|
| 1317 | ua_tl (:,:,:) = zua_tlin (:,:,:) |
|---|
| 1318 | va_tl (:,:,:) = zva_tlin (:,:,:) |
|---|
| 1319 | CALL dyn_hpg_tan(nit000) |
|---|
| 1320 | !-------------------------------------------------------------------- |
|---|
| 1321 | ! Compute the scalar product: ( L(t0,tn) gamma dx0 ) ) |
|---|
| 1322 | !-------------------------------------------------------------------- |
|---|
| 1323 | zsp2_1 = DOT_PRODUCT( ua_tl, ua_tl ) |
|---|
| 1324 | zsp2_2 = DOT_PRODUCT( va_tl, va_tl ) |
|---|
| 1325 | zsp2 = zsp2_1 + zsp2_2 |
|---|
| 1326 | !-------------------------------------------------------------------- |
|---|
| 1327 | ! Storing data |
|---|
| 1328 | !-------------------------------------------------------------------- |
|---|
| 1329 | CALL trj_rd_spl(file_wop) |
|---|
| 1330 | zua_wop (:,:,:) = ua (:,:,:) |
|---|
| 1331 | zva_wop (:,:,:) = va (:,:,:) |
|---|
| 1332 | CALL trj_rd_spl(file_xdx) |
|---|
| 1333 | zua_out (:,:,:) = ua (:,:,:) |
|---|
| 1334 | zva_out (:,:,:) = va (:,:,:) |
|---|
| 1335 | !-------------------------------------------------------------------- |
|---|
| 1336 | ! Compute the Linearization Error |
|---|
| 1337 | ! Nn = M( X0+gamma.dX0, t0,tn) - M(X0, t0,tn) |
|---|
| 1338 | ! and |
|---|
| 1339 | ! Compute the Linearization Error |
|---|
| 1340 | ! En = Nn -TL(gamma.dX0, t0,tn) |
|---|
| 1341 | !-------------------------------------------------------------------- |
|---|
| 1342 | ! Warning: Here we re-use local variables z()_out and z()_wop |
|---|
| 1343 | ii=0 |
|---|
| 1344 | DO jk = 1, jpk |
|---|
| 1345 | DO jj = 1, jpj |
|---|
| 1346 | DO ji = 1, jpi |
|---|
| 1347 | zua_out (ji,jj,jk) = zua_out (ji,jj,jk) - zua_wop (ji,jj,jk) |
|---|
| 1348 | zua_wop (ji,jj,jk) = zua_out (ji,jj,jk) - ua_tl (ji,jj,jk) |
|---|
| 1349 | IF ( ua_tl(ji,jj,jk) .NE. 0.0_wp ) & |
|---|
| 1350 | & zerrua(ji,jj,jk) = zua_out(ji,jj,jk)/ua_tl(ji,jj,jk) |
|---|
| 1351 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
|---|
| 1352 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
|---|
| 1353 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
|---|
| 1354 | ii = ii+1 |
|---|
| 1355 | iiposua(ii) = ji |
|---|
| 1356 | ijposua(ii) = jj |
|---|
| 1357 | ikposua(ii) = jk |
|---|
| 1358 | IF ( INT(umask(ji,jj,jk)) .NE. 0) THEN |
|---|
| 1359 | zscua (ii) = zua_wop(ji,jj,jk) |
|---|
| 1360 | zscerrua (ii) = ( zerrua(ji,jj,jk) - 1.0_wp ) /gamma |
|---|
| 1361 | ENDIF |
|---|
| 1362 | ENDIF |
|---|
| 1363 | END DO |
|---|
| 1364 | END DO |
|---|
| 1365 | END DO |
|---|
| 1366 | ii=0 |
|---|
| 1367 | DO jk = 1, jpk |
|---|
| 1368 | DO jj = 1, jpj |
|---|
| 1369 | DO ji = 1, jpi |
|---|
| 1370 | zva_out (ji,jj,jk) = zva_out (ji,jj,jk) - zva_wop (ji,jj,jk) |
|---|
| 1371 | zva_wop (ji,jj,jk) = zva_out (ji,jj,jk) - va_tl (ji,jj,jk) |
|---|
| 1372 | IF ( va_tl(ji,jj,jk) .NE. 0.0_wp ) & |
|---|
| 1373 | & zerrva(ji,jj,jk) = zva_out(ji,jj,jk)/va_tl(ji,jj,jk) |
|---|
| 1374 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
|---|
| 1375 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
|---|
| 1376 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
|---|
| 1377 | ii = ii+1 |
|---|
| 1378 | iiposva(ii) = ji |
|---|
| 1379 | ijposva(ii) = jj |
|---|
| 1380 | ikposva(ii) = jk |
|---|
| 1381 | IF ( INT(vmask(ji,jj,jk)) .NE. 0) THEN |
|---|
| 1382 | zscva (ii) = zua_wop(ji,jj,jk) |
|---|
| 1383 | zscerrva (ii) = ( zerrva(ji,jj,jk) - 1.0_wp ) / gamma |
|---|
| 1384 | ENDIF |
|---|
| 1385 | ENDIF |
|---|
| 1386 | END DO |
|---|
| 1387 | END DO |
|---|
| 1388 | END DO |
|---|
| 1389 | zsp1_1 = DOT_PRODUCT( zua_out, zua_out ) |
|---|
| 1390 | zsp1_2 = DOT_PRODUCT( zva_out, zva_out ) |
|---|
| 1391 | zsp1 = zsp1_1 + zsp1_2 |
|---|
| 1392 | |
|---|
| 1393 | zsp3_1 = DOT_PRODUCT( zua_wop, zua_wop ) |
|---|
| 1394 | zsp3_2 = DOT_PRODUCT( zva_wop, zva_wop ) |
|---|
| 1395 | zsp3 = zsp3_1 + zsp3_2 |
|---|
| 1396 | !-------------------------------------------------------------------- |
|---|
| 1397 | ! Print the linearization error En - norme 2 |
|---|
| 1398 | !-------------------------------------------------------------------- |
|---|
| 1399 | ! 14 char:'12345678901234' |
|---|
| 1400 | cl_name = 'dynhpg_tam:En ' |
|---|
| 1401 | zzsp = dsqrt(zsp3) |
|---|
| 1402 | zzsp_1 = dsqrt(zsp3_1) |
|---|
| 1403 | zzsp_2 = dsqrt(zsp3_2) |
|---|
| 1404 | |
|---|
| 1405 | zgsp5 = zzsp |
|---|
| 1406 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
|---|
| 1407 | !-------------------------------------------------------------------- |
|---|
| 1408 | ! Compute TLM norm2 |
|---|
| 1409 | !-------------------------------------------------------------------- |
|---|
| 1410 | zzsp = SQRT(zsp2) |
|---|
| 1411 | zzsp_1 = SQRT(zsp2_1) |
|---|
| 1412 | zzsp_2 = SQRT(zsp2_2) |
|---|
| 1413 | zgsp4 = zzsp |
|---|
| 1414 | cl_name = 'dynhpg_tam:Ln2' |
|---|
| 1415 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
|---|
| 1416 | !-------------------------------------------------------------------- |
|---|
| 1417 | ! Print the linearization error Nn - norme 2 |
|---|
| 1418 | !-------------------------------------------------------------------- |
|---|
| 1419 | zzsp = SQRT(zsp1) |
|---|
| 1420 | zzsp_1 = SQRT(zsp1_1) |
|---|
| 1421 | zzsp_2 = SQRT(zsp1_2) |
|---|
| 1422 | cl_name = 'dynhpg:Mhdx-Mx' |
|---|
| 1423 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
|---|
| 1424 | zgsp3 = SQRT( zsp3/zsp2 ) |
|---|
| 1425 | zgsp7 = zgsp3/gamma |
|---|
| 1426 | zgsp1 = zzsp |
|---|
| 1427 | zgsp2 = zgsp1 / zgsp4 |
|---|
| 1428 | zgsp6 = (zgsp2 - 1.0_wp)/gamma |
|---|
| 1429 | |
|---|
| 1430 | FMT = "(A8,2X,I4.4,2X,E6.1,2X,E20.13,2X,E20.13,2X,E20.13,2X,E20.13,2X,E20.13,2X,E20.13,2X,E20.13)" |
|---|
| 1431 | WRITE(numtan,FMT) 'dynhpg ', cur_loop, h_ratio, zgsp1, zgsp2, zgsp3, zgsp4, zgsp5, zgsp6, zgsp7 |
|---|
| 1432 | !-------------------------------------------------------------------- |
|---|
| 1433 | ! Unitary calculus |
|---|
| 1434 | !-------------------------------------------------------------------- |
|---|
| 1435 | FMT = "(A8,2X,A8,2X,I4.4,2X,E6.1,2X,I4.4,2X,I4.4,2X,I4.4,2X,E20.13,1X)" |
|---|
| 1436 | cl_name = 'dynhpg ' |
|---|
| 1437 | IF (lwp) THEN |
|---|
| 1438 | DO ii=1, 100, 1 |
|---|
| 1439 | IF ( zscua(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscua ', & |
|---|
| 1440 | & cur_loop, h_ratio, ii, iiposua(ii), ijposua(ii), zscua(ii) |
|---|
| 1441 | ENDDO |
|---|
| 1442 | DO ii=1, 100, 1 |
|---|
| 1443 | IF ( zscva(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscva ', & |
|---|
| 1444 | & cur_loop, h_ratio, ii, iiposva(ii), ijposva(ii), zscva(ii) |
|---|
| 1445 | ENDDO |
|---|
| 1446 | DO ii=1, 100, 1 |
|---|
| 1447 | IF ( zscerrua(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrua ', & |
|---|
| 1448 | & cur_loop, h_ratio, ii, iiposua(ii), ijposua(ii), zscerrua(ii) |
|---|
| 1449 | ENDDO |
|---|
| 1450 | DO ii=1, 100, 1 |
|---|
| 1451 | IF ( zscerrva(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrva ', & |
|---|
| 1452 | & cur_loop, h_ratio, ii, iiposva(ii), ijposva(ii), zscerrva(ii) |
|---|
| 1453 | ENDDO |
|---|
| 1454 | |
|---|
| 1455 | ! write separator |
|---|
| 1456 | WRITE(numtan_sc,"(A4)") '====' |
|---|
| 1457 | ENDIF |
|---|
| 1458 | |
|---|
| 1459 | ENDIF |
|---|
| 1460 | DEALLOCATE( & |
|---|
| 1461 | & zrd_tlin, zgru_tlin, zgrv_tlin, & |
|---|
| 1462 | & zua_tlin, zva_tlin, & |
|---|
| 1463 | & ztn_tlin, zsn_tlin, & |
|---|
| 1464 | & zua_out, zva_out, & |
|---|
| 1465 | & zua_wop, zva_wop, & |
|---|
| 1466 | & zrh, & |
|---|
| 1467 | & zau, & |
|---|
| 1468 | & zav, & |
|---|
| 1469 | & zgru, & |
|---|
| 1470 | & zgrv & |
|---|
| 1471 | & ) |
|---|
| 1472 | END SUBROUTINE dyn_hpg_tlm_tst |
|---|
| 1473 | !!====================================================================== |
|---|
| 1474 | #endif |
|---|
| 1475 | #endif |
|---|
| 1476 | END MODULE dynhpg_tam |
|---|
