[3] | 1 | MODULE dynhpg |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE dynhpg *** |
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| 4 | !! Ocean dynamics: hydrostatic pressure gradient trend |
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| 5 | !!====================================================================== |
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[2528] | 6 | !! History : OPA ! 1987-09 (P. Andrich, M.-A. Foujols) hpg_zco: Original code |
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| 7 | !! 5.0 ! 1991-11 (G. Madec) |
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| 8 | !! 7.0 ! 1996-01 (G. Madec) hpg_sco: Original code for s-coordinates |
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| 9 | !! 8.0 ! 1997-05 (G. Madec) split dynber into dynkeg and dynhpg |
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| 10 | !! 8.5 ! 2002-07 (G. Madec) F90: Free form and module |
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| 11 | !! 8.5 ! 2002-08 (A. Bozec) hpg_zps: Original code |
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| 12 | !! NEMO 1.0 ! 2005-10 (A. Beckmann, B.W. An) various s-coordinate options |
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| 13 | !! ! Original code for hpg_ctl, hpg_hel hpg_wdj, hpg_djc, hpg_rot |
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| 14 | !! - ! 2005-11 (G. Madec) style & small optimisation |
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| 15 | !! 3.3 ! 2010-10 (C. Ethe, G. Madec) reorganisation of initialisation phase |
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[503] | 16 | !!---------------------------------------------------------------------- |
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[3] | 17 | |
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| 18 | !!---------------------------------------------------------------------- |
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[455] | 19 | !! dyn_hpg : update the momentum trend with the now horizontal |
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[3] | 20 | !! gradient of the hydrostatic pressure |
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[2528] | 21 | !! dyn_hpg_init : initialisation and control of options |
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[455] | 22 | !! hpg_zco : z-coordinate scheme |
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| 23 | !! hpg_zps : z-coordinate plus partial steps (interpolation) |
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| 24 | !! hpg_sco : s-coordinate (standard jacobian formulation) |
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| 25 | !! hpg_hel : s-coordinate (helsinki modification) |
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| 26 | !! hpg_wdj : s-coordinate (weighted density jacobian) |
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| 27 | !! hpg_djc : s-coordinate (Density Jacobian with Cubic polynomial) |
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| 28 | !! hpg_rot : s-coordinate (ROTated axes scheme) |
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[3] | 29 | !!---------------------------------------------------------------------- |
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| 30 | USE oce ! ocean dynamics and tracers |
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| 31 | USE dom_oce ! ocean space and time domain |
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| 32 | USE phycst ! physical constants |
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[216] | 33 | USE trdmod ! ocean dynamics trends |
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| 34 | USE trdmod_oce ! ocean variables trends |
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[2715] | 35 | USE in_out_manager ! I/O manager |
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[258] | 36 | USE prtctl ! Print control |
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[455] | 37 | USE lbclnk ! lateral boundary condition |
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[2715] | 38 | USE lib_mpp ! MPP library |
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[3] | 39 | |
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| 40 | IMPLICIT NONE |
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| 41 | PRIVATE |
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| 42 | |
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[2528] | 43 | PUBLIC dyn_hpg ! routine called by step module |
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| 44 | PUBLIC dyn_hpg_init ! routine called by opa module |
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[3] | 45 | |
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[1601] | 46 | ! !!* Namelist namdyn_hpg : hydrostatic pressure gradient |
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| 47 | LOGICAL , PUBLIC :: ln_hpg_zco = .TRUE. !: z-coordinate - full steps |
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| 48 | LOGICAL , PUBLIC :: ln_hpg_zps = .FALSE. !: z-coordinate - partial steps (interpolation) |
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| 49 | LOGICAL , PUBLIC :: ln_hpg_sco = .FALSE. !: s-coordinate (standard jacobian formulation) |
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| 50 | LOGICAL , PUBLIC :: ln_hpg_hel = .FALSE. !: s-coordinate (helsinki modification) |
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| 51 | LOGICAL , PUBLIC :: ln_hpg_wdj = .FALSE. !: s-coordinate (weighted density jacobian) |
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| 52 | LOGICAL , PUBLIC :: ln_hpg_djc = .FALSE. !: s-coordinate (Density Jacobian with Cubic polynomial) |
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| 53 | LOGICAL , PUBLIC :: ln_hpg_rot = .FALSE. !: s-coordinate (ROTated axes scheme) |
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[2528] | 54 | REAL(wp), PUBLIC :: rn_gamma = 0._wp !: weighting coefficient |
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[1601] | 55 | LOGICAL , PUBLIC :: ln_dynhpg_imp = .FALSE. !: semi-implicite hpg flag |
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[455] | 56 | |
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[1601] | 57 | INTEGER :: nhpg = 0 ! = 0 to 6, type of pressure gradient scheme used ! (deduced from ln_hpg_... flags) |
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[455] | 58 | |
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[3] | 59 | !! * Substitutions |
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| 60 | # include "domzgr_substitute.h90" |
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| 61 | # include "vectopt_loop_substitute.h90" |
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| 62 | !!---------------------------------------------------------------------- |
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[2528] | 63 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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| 64 | !! $Id$ |
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| 65 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 66 | !!---------------------------------------------------------------------- |
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| 67 | CONTAINS |
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| 68 | |
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| 69 | SUBROUTINE dyn_hpg( kt ) |
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| 70 | !!--------------------------------------------------------------------- |
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| 71 | !! *** ROUTINE dyn_hpg *** |
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| 72 | !! |
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[455] | 73 | !! ** Method : Call the hydrostatic pressure gradient routine |
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[503] | 74 | !! using the scheme defined in the namelist |
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[455] | 75 | !! |
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| 76 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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| 77 | !! - Save the trend (l_trddyn=T) |
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[503] | 78 | !!---------------------------------------------------------------------- |
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[2715] | 79 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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| 80 | USE wrk_nemo, ONLY: ztrdu => wrk_3d_1 , ztrdv => wrk_3d_2 ! 3D workspace |
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| 81 | !! |
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[503] | 82 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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[455] | 83 | !!---------------------------------------------------------------------- |
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[2528] | 84 | ! |
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[2715] | 85 | IF( wrk_in_use(3, 1,2) ) THEN |
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| 86 | CALL ctl_stop('dyn_hpg: requested workspace arrays are unavailable') ; RETURN |
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| 87 | ENDIF |
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| 88 | ! |
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[503] | 89 | IF( l_trddyn ) THEN ! Temporary saving of ua and va trends (l_trddyn) |
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[455] | 90 | ztrdu(:,:,:) = ua(:,:,:) |
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| 91 | ztrdv(:,:,:) = va(:,:,:) |
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| 92 | ENDIF |
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[2528] | 93 | ! |
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[455] | 94 | SELECT CASE ( nhpg ) ! Hydrastatic pressure gradient computation |
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[503] | 95 | CASE ( 0 ) ; CALL hpg_zco ( kt ) ! z-coordinate |
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| 96 | CASE ( 1 ) ; CALL hpg_zps ( kt ) ! z-coordinate plus partial steps (interpolation) |
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| 97 | CASE ( 2 ) ; CALL hpg_sco ( kt ) ! s-coordinate (standard jacobian formulation) |
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| 98 | CASE ( 3 ) ; CALL hpg_hel ( kt ) ! s-coordinate (helsinki modification) |
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| 99 | CASE ( 4 ) ; CALL hpg_wdj ( kt ) ! s-coordinate (weighted density jacobian) |
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| 100 | CASE ( 5 ) ; CALL hpg_djc ( kt ) ! s-coordinate (Density Jacobian with Cubic polynomial) |
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| 101 | CASE ( 6 ) ; CALL hpg_rot ( kt ) ! s-coordinate (ROTated axes scheme) |
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[455] | 102 | END SELECT |
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[2528] | 103 | ! |
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[503] | 104 | IF( l_trddyn ) THEN ! save the hydrostatic pressure gradient trends for momentum trend diagnostics |
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[455] | 105 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 106 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 107 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_hpg, 'DYN', kt ) |
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[455] | 108 | ENDIF |
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[503] | 109 | ! |
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| 110 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' hpg - Ua: ', mask1=umask, & |
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| 111 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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| 112 | ! |
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[2715] | 113 | IF( wrk_not_released(3, 1,2) ) CALL ctl_stop('dyn_hpg: failed to release workspace arrays') |
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| 114 | ! |
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[455] | 115 | END SUBROUTINE dyn_hpg |
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| 116 | |
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| 117 | |
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[2528] | 118 | SUBROUTINE dyn_hpg_init |
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[455] | 119 | !!---------------------------------------------------------------------- |
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[2528] | 120 | !! *** ROUTINE dyn_hpg_init *** |
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[455] | 121 | !! |
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| 122 | !! ** Purpose : initializations for the hydrostatic pressure gradient |
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| 123 | !! computation and consistency control |
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| 124 | !! |
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[1601] | 125 | !! ** Action : Read the namelist namdyn_hpg and check the consistency |
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[455] | 126 | !! with the type of vertical coordinate used (zco, zps, sco) |
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| 127 | !!---------------------------------------------------------------------- |
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| 128 | INTEGER :: ioptio = 0 ! temporary integer |
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[1601] | 129 | !! |
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[2528] | 130 | NAMELIST/namdyn_hpg/ ln_hpg_zco, ln_hpg_zps, ln_hpg_sco, ln_hpg_hel, & |
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| 131 | & ln_hpg_wdj, ln_hpg_djc, ln_hpg_rot, rn_gamma , ln_dynhpg_imp |
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[455] | 132 | !!---------------------------------------------------------------------- |
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[2528] | 133 | ! |
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| 134 | REWIND( numnam ) ! Read Namelist namdyn_hpg |
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| 135 | READ ( numnam, namdyn_hpg ) |
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| 136 | ! |
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| 137 | IF(lwp) THEN ! Control print |
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[455] | 138 | WRITE(numout,*) |
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[2528] | 139 | WRITE(numout,*) 'dyn_hpg_init : hydrostatic pressure gradient initialisation' |
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| 140 | WRITE(numout,*) '~~~~~~~~~~~~' |
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[1601] | 141 | WRITE(numout,*) ' Namelist namdyn_hpg : choice of hpg scheme' |
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| 142 | WRITE(numout,*) ' z-coord. - full steps ln_hpg_zco = ', ln_hpg_zco |
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| 143 | WRITE(numout,*) ' z-coord. - partial steps (interpolation) ln_hpg_zps = ', ln_hpg_zps |
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| 144 | WRITE(numout,*) ' s-coord. (standard jacobian formulation) ln_hpg_sco = ', ln_hpg_sco |
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| 145 | WRITE(numout,*) ' s-coord. (helsinki modification) ln_hpg_hel = ', ln_hpg_hel |
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| 146 | WRITE(numout,*) ' s-coord. (weighted density jacobian) ln_hpg_wdj = ', ln_hpg_wdj |
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| 147 | WRITE(numout,*) ' s-coord. (Density Jacobian: Cubic polynomial) ln_hpg_djc = ', ln_hpg_djc |
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| 148 | WRITE(numout,*) ' s-coord. (ROTated axes scheme) ln_hpg_rot = ', ln_hpg_rot |
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| 149 | WRITE(numout,*) ' weighting coeff. (wdj scheme) rn_gamma = ', rn_gamma |
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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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[455] | 151 | ENDIF |
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[2528] | 152 | ! |
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| 153 | IF( lk_vvl .AND. .NOT. ln_hpg_sco ) & |
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[2715] | 154 | & CALL ctl_stop('dyn_hpg_init : variable volume key_vvl require the standard jacobian formulation hpg_sco') |
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[2528] | 155 | ! |
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[503] | 156 | ! ! Set nhpg from ln_hpg_... flags |
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[455] | 157 | IF( ln_hpg_zco ) nhpg = 0 |
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| 158 | IF( ln_hpg_zps ) nhpg = 1 |
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| 159 | IF( ln_hpg_sco ) nhpg = 2 |
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| 160 | IF( ln_hpg_hel ) nhpg = 3 |
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| 161 | IF( ln_hpg_wdj ) nhpg = 4 |
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| 162 | IF( ln_hpg_djc ) nhpg = 5 |
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| 163 | IF( ln_hpg_rot ) nhpg = 6 |
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[2528] | 164 | ! |
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[503] | 165 | ! ! Consitency check |
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[455] | 166 | ioptio = 0 |
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| 167 | IF( ln_hpg_zco ) ioptio = ioptio + 1 |
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| 168 | IF( ln_hpg_zps ) ioptio = ioptio + 1 |
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| 169 | IF( ln_hpg_sco ) ioptio = ioptio + 1 |
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| 170 | IF( ln_hpg_hel ) ioptio = ioptio + 1 |
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| 171 | IF( ln_hpg_wdj ) ioptio = ioptio + 1 |
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| 172 | IF( ln_hpg_djc ) ioptio = ioptio + 1 |
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| 173 | IF( ln_hpg_rot ) ioptio = ioptio + 1 |
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[2715] | 174 | IF( ioptio /= 1 ) CALL ctl_stop( 'NO or several hydrostatic pressure gradient options used' ) |
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[503] | 175 | ! |
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[2528] | 176 | END SUBROUTINE dyn_hpg_init |
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[455] | 177 | |
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| 178 | |
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| 179 | SUBROUTINE hpg_zco( kt ) |
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| 180 | !!--------------------------------------------------------------------- |
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| 181 | !! *** ROUTINE hpg_zco *** |
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| 182 | !! |
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| 183 | !! ** Method : z-coordinate case, levels are horizontal surfaces. |
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| 184 | !! The now hydrostatic pressure gradient at a given level, jk, |
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| 185 | !! is computed by taking the vertical integral of the in-situ |
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| 186 | !! density gradient along the model level from the suface to that |
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| 187 | !! level: zhpi = grav ..... |
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| 188 | !! zhpj = grav ..... |
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[3] | 189 | !! add it to the general momentum trend (ua,va). |
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[455] | 190 | !! ua = ua - 1/e1u * zhpi |
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| 191 | !! va = va - 1/e2v * zhpj |
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| 192 | !! |
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[3] | 193 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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[503] | 194 | !!---------------------------------------------------------------------- |
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[2715] | 195 | USE oce, ONLY: zhpi => ta , zhpj => sa ! (ta,sa) used as 3D workspace |
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[3] | 196 | !! |
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[503] | 197 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 198 | !! |
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| 199 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 200 | REAL(wp) :: zcoef0, zcoef1 ! temporary scalars |
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[3] | 201 | !!---------------------------------------------------------------------- |
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[455] | 202 | |
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[3] | 203 | IF( kt == nit000 ) THEN |
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| 204 | IF(lwp) WRITE(numout,*) |
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[455] | 205 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zco : hydrostatic pressure gradient trend' |
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| 206 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ z-coordinate case ' |
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[3] | 207 | ENDIF |
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[455] | 208 | |
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[2715] | 209 | zcoef0 = - grav * 0.5_wp ! Local constant initialization |
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[3] | 210 | |
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[455] | 211 | ! Surface value |
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[3] | 212 | DO jj = 2, jpjm1 |
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| 213 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[455] | 214 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
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| 215 | ! hydrostatic pressure gradient |
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| 216 | zhpi(ji,jj,1) = zcoef1 * ( rhd(ji+1,jj,1) - rhd(ji,jj,1) ) / e1u(ji,jj) |
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| 217 | zhpj(ji,jj,1) = zcoef1 * ( rhd(ji,jj+1,1) - rhd(ji,jj,1) ) / e2v(ji,jj) |
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[3] | 218 | ! add to the general momentum trend |
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[455] | 219 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
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| 220 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
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| 221 | END DO |
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| 222 | END DO |
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[503] | 223 | ! |
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[455] | 224 | ! interior value (2=<jk=<jpkm1) |
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[3] | 225 | DO jk = 2, jpkm1 |
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[455] | 226 | DO jj = 2, jpjm1 |
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[3] | 227 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[455] | 228 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
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| 229 | ! hydrostatic pressure gradient |
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| 230 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
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| 231 | & + zcoef1 * ( ( rhd(ji+1,jj,jk)+rhd(ji+1,jj,jk-1) ) & |
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| 232 | & - ( rhd(ji ,jj,jk)+rhd(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
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| 233 | |
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| 234 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
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| 235 | & + zcoef1 * ( ( rhd(ji,jj+1,jk)+rhd(ji,jj+1,jk-1) ) & |
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| 236 | & - ( rhd(ji,jj, jk)+rhd(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
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[3] | 237 | ! add to the general momentum trend |
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[455] | 238 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
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| 239 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
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[3] | 240 | END DO |
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| 241 | END DO |
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| 242 | END DO |
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[503] | 243 | ! |
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[455] | 244 | END SUBROUTINE hpg_zco |
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[216] | 245 | |
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[3] | 246 | |
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[455] | 247 | SUBROUTINE hpg_zps( kt ) |
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[3] | 248 | !!--------------------------------------------------------------------- |
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[455] | 249 | !! *** ROUTINE hpg_zps *** |
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[3] | 250 | !! |
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[455] | 251 | !! ** Method : z-coordinate plus partial steps case. blahblah... |
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| 252 | !! |
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[3] | 253 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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[455] | 254 | !!---------------------------------------------------------------------- |
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[2715] | 255 | USE oce, ONLY: zhpi => ta , zhpj => sa ! (ta,sa) used as 3D workspace |
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[503] | 256 | !! |
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| 257 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 258 | !! |
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| 259 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 260 | INTEGER :: iku, ikv ! temporary integers |
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| 261 | REAL(wp) :: zcoef0, zcoef1, zcoef2, zcoef3 ! temporary scalars |
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[3] | 262 | !!---------------------------------------------------------------------- |
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| 263 | |
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| 264 | IF( kt == nit000 ) THEN |
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| 265 | IF(lwp) WRITE(numout,*) |
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[455] | 266 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zps : hydrostatic pressure gradient trend' |
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[503] | 267 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ z-coordinate with partial steps - vector optimization' |
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[3] | 268 | ENDIF |
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| 269 | |
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[503] | 270 | ! Local constant initialization |
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[2528] | 271 | zcoef0 = - grav * 0.5_wp |
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[3] | 272 | |
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[2528] | 273 | ! Surface value (also valid in partial step case) |
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[3] | 274 | DO jj = 2, jpjm1 |
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| 275 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[170] | 276 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
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[3] | 277 | ! hydrostatic pressure gradient |
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[455] | 278 | zhpi(ji,jj,1) = zcoef1 * ( rhd(ji+1,jj ,1) - rhd(ji,jj,1) ) / e1u(ji,jj) |
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| 279 | zhpj(ji,jj,1) = zcoef1 * ( rhd(ji ,jj+1,1) - rhd(ji,jj,1) ) / e2v(ji,jj) |
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[3] | 280 | ! add to the general momentum trend |
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| 281 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
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| 282 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
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| 283 | END DO |
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| 284 | END DO |
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| 285 | |
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[503] | 286 | ! interior value (2=<jk=<jpkm1) |
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[3] | 287 | DO jk = 2, jpkm1 |
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| 288 | DO jj = 2, jpjm1 |
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| 289 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[170] | 290 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
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[3] | 291 | ! hydrostatic pressure gradient |
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| 292 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
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[455] | 293 | & + zcoef1 * ( ( rhd(ji+1,jj,jk) + rhd(ji+1,jj,jk-1) ) & |
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| 294 | & - ( rhd(ji ,jj,jk) + rhd(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
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[3] | 295 | |
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| 296 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
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[455] | 297 | & + zcoef1 * ( ( rhd(ji,jj+1,jk) + rhd(ji,jj+1,jk-1) ) & |
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| 298 | & - ( rhd(ji,jj, jk) + rhd(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
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[3] | 299 | ! add to the general momentum trend |
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| 300 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
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| 301 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
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[455] | 302 | END DO |
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[3] | 303 | END DO |
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| 304 | END DO |
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| 305 | |
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[2528] | 306 | ! partial steps correction at the last level (use gru & grv computed in zpshde.F90) |
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[3] | 307 | # if defined key_vectopt_loop |
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| 308 | jj = 1 |
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| 309 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
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| 310 | # else |
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| 311 | DO jj = 2, jpjm1 |
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| 312 | DO ji = 2, jpim1 |
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| 313 | # endif |
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[2528] | 314 | iku = mbku(ji,jj) |
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| 315 | ikv = mbkv(ji,jj) |
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[3] | 316 | zcoef2 = zcoef0 * MIN( fse3w(ji,jj,iku), fse3w(ji+1,jj ,iku) ) |
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| 317 | zcoef3 = zcoef0 * MIN( fse3w(ji,jj,ikv), fse3w(ji ,jj+1,ikv) ) |
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[2528] | 318 | IF( iku > 1 ) THEN ! on i-direction (level 2 or more) |
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| 319 | ua (ji,jj,iku) = ua(ji,jj,iku) - zhpi(ji,jj,iku) ! subtract old value |
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| 320 | zhpi(ji,jj,iku) = zhpi(ji,jj,iku-1) & ! compute the new one |
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| 321 | & + zcoef2 * ( rhd(ji+1,jj,iku-1) - rhd(ji,jj,iku-1) + gru(ji,jj) ) / e1u(ji,jj) |
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| 322 | ua (ji,jj,iku) = ua(ji,jj,iku) + zhpi(ji,jj,iku) ! add the new one to the general momentum trend |
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[3] | 323 | ENDIF |
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[2528] | 324 | IF( ikv > 1 ) THEN ! on j-direction (level 2 or more) |
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| 325 | va (ji,jj,ikv) = va(ji,jj,ikv) - zhpj(ji,jj,ikv) ! subtract old value |
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| 326 | zhpj(ji,jj,ikv) = zhpj(ji,jj,ikv-1) & ! compute the new one |
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| 327 | & + zcoef3 * ( rhd(ji,jj+1,ikv-1) - rhd(ji,jj,ikv-1) + grv(ji,jj) ) / e2v(ji,jj) |
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| 328 | va (ji,jj,ikv) = va(ji,jj,ikv) + zhpj(ji,jj,ikv) ! add the new one to the general momentum trend |
---|
[3] | 329 | ENDIF |
---|
| 330 | # if ! defined key_vectopt_loop |
---|
| 331 | END DO |
---|
| 332 | # endif |
---|
| 333 | END DO |
---|
[503] | 334 | ! |
---|
[455] | 335 | END SUBROUTINE hpg_zps |
---|
[216] | 336 | |
---|
[3] | 337 | |
---|
[455] | 338 | SUBROUTINE hpg_sco( kt ) |
---|
[3] | 339 | !!--------------------------------------------------------------------- |
---|
[455] | 340 | !! *** ROUTINE hpg_sco *** |
---|
[3] | 341 | !! |
---|
[455] | 342 | !! ** Method : s-coordinate case. Jacobian scheme. |
---|
| 343 | !! The now hydrostatic pressure gradient at a given level, jk, |
---|
| 344 | !! is computed by taking the vertical integral of the in-situ |
---|
[3] | 345 | !! density gradient along the model level from the suface to that |
---|
[455] | 346 | !! level. s-coordinates (ln_sco): a corrective term is added |
---|
| 347 | !! to the horizontal pressure gradient : |
---|
| 348 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
---|
| 349 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
---|
[3] | 350 | !! add it to the general momentum trend (ua,va). |
---|
[455] | 351 | !! ua = ua - 1/e1u * zhpi |
---|
| 352 | !! va = va - 1/e2v * zhpj |
---|
[3] | 353 | !! |
---|
| 354 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
[503] | 355 | !!---------------------------------------------------------------------- |
---|
[2715] | 356 | USE oce, ONLY: zhpi => ta , zhpj => sa ! (ta,sa) used as 3D workspace |
---|
[3] | 357 | !! |
---|
[503] | 358 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 359 | !! |
---|
[592] | 360 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 361 | REAL(wp) :: zcoef0, zuap, zvap, znad ! temporary scalars |
---|
[3] | 362 | !!---------------------------------------------------------------------- |
---|
| 363 | |
---|
| 364 | IF( kt == nit000 ) THEN |
---|
| 365 | IF(lwp) WRITE(numout,*) |
---|
[455] | 366 | IF(lwp) WRITE(numout,*) 'dyn:hpg_sco : hydrostatic pressure gradient trend' |
---|
| 367 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, OPA original scheme used' |
---|
[3] | 368 | ENDIF |
---|
| 369 | |
---|
[503] | 370 | ! Local constant initialization |
---|
[2528] | 371 | zcoef0 = - grav * 0.5_wp |
---|
[592] | 372 | ! To use density and not density anomaly |
---|
[2528] | 373 | IF ( lk_vvl ) THEN ; znad = 1._wp ! Variable volume |
---|
| 374 | ELSE ; znad = 0._wp ! Fixed volume |
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[592] | 375 | ENDIF |
---|
[455] | 376 | |
---|
[503] | 377 | ! Surface value |
---|
[455] | 378 | DO jj = 2, jpjm1 |
---|
| 379 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 380 | ! hydrostatic pressure gradient along s-surfaces |
---|
[592] | 381 | zhpi(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( fse3w(ji+1,jj ,1) * ( znad + rhd(ji+1,jj ,1) ) & |
---|
| 382 | & - fse3w(ji ,jj ,1) * ( znad + rhd(ji ,jj ,1) ) ) |
---|
| 383 | zhpj(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( fse3w(ji ,jj+1,1) * ( znad + rhd(ji ,jj+1,1) ) & |
---|
| 384 | & - fse3w(ji ,jj ,1) * ( znad + rhd(ji ,jj ,1) ) ) |
---|
[455] | 385 | ! s-coordinate pressure gradient correction |
---|
[2528] | 386 | zuap = -zcoef0 * ( rhd (ji+1,jj,1) + rhd (ji,jj,1) + 2._wp * znad ) & |
---|
[455] | 387 | & * ( fsde3w(ji+1,jj,1) - fsde3w(ji,jj,1) ) / e1u(ji,jj) |
---|
[2528] | 388 | zvap = -zcoef0 * ( rhd (ji,jj+1,1) + rhd (ji,jj,1) + 2._wp * znad ) & |
---|
[455] | 389 | & * ( fsde3w(ji,jj+1,1) - fsde3w(ji,jj,1) ) / e2v(ji,jj) |
---|
| 390 | ! add to the general momentum trend |
---|
| 391 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) + zuap |
---|
| 392 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) + zvap |
---|
| 393 | END DO |
---|
| 394 | END DO |
---|
| 395 | |
---|
[503] | 396 | ! interior value (2=<jk=<jpkm1) |
---|
[455] | 397 | DO jk = 2, jpkm1 |
---|
| 398 | DO jj = 2, jpjm1 |
---|
| 399 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 400 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 401 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) + zcoef0 / e1u(ji,jj) & |
---|
[592] | 402 | & * ( fse3w(ji+1,jj,jk) * ( rhd(ji+1,jj,jk) + rhd(ji+1,jj,jk-1) + 2*znad ) & |
---|
| 403 | & - fse3w(ji ,jj,jk) * ( rhd(ji ,jj,jk) + rhd(ji ,jj,jk-1) + 2*znad ) ) |
---|
[455] | 404 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) + zcoef0 / e2v(ji,jj) & |
---|
[592] | 405 | & * ( fse3w(ji,jj+1,jk) * ( rhd(ji,jj+1,jk) + rhd(ji,jj+1,jk-1) + 2*znad ) & |
---|
| 406 | & - fse3w(ji,jj ,jk) * ( rhd(ji,jj, jk) + rhd(ji,jj ,jk-1) + 2*znad ) ) |
---|
[455] | 407 | ! s-coordinate pressure gradient correction |
---|
[2528] | 408 | zuap = -zcoef0 * ( rhd (ji+1,jj ,jk) + rhd (ji,jj,jk) + 2._wp * znad ) & |
---|
[455] | 409 | & * ( fsde3w(ji+1,jj ,jk) - fsde3w(ji,jj,jk) ) / e1u(ji,jj) |
---|
[2528] | 410 | zvap = -zcoef0 * ( rhd (ji ,jj+1,jk) + rhd (ji,jj,jk) + 2._wp * znad ) & |
---|
[455] | 411 | & * ( fsde3w(ji ,jj+1,jk) - fsde3w(ji,jj,jk) ) / e2v(ji,jj) |
---|
| 412 | ! add to the general momentum trend |
---|
| 413 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) + zuap |
---|
| 414 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) + zvap |
---|
| 415 | END DO |
---|
| 416 | END DO |
---|
| 417 | END DO |
---|
[503] | 418 | ! |
---|
[455] | 419 | END SUBROUTINE hpg_sco |
---|
| 420 | |
---|
| 421 | |
---|
| 422 | SUBROUTINE hpg_hel( kt ) |
---|
| 423 | !!--------------------------------------------------------------------- |
---|
| 424 | !! *** ROUTINE hpg_hel *** |
---|
| 425 | !! |
---|
| 426 | !! ** Method : s-coordinate case. |
---|
| 427 | !! The now hydrostatic pressure gradient at a given level |
---|
| 428 | !! jk is computed by taking the vertical integral of the in-situ |
---|
| 429 | !! density gradient along the model level from the suface to that |
---|
| 430 | !! level. s-coordinates (ln_sco): a corrective term is added |
---|
| 431 | !! to the horizontal pressure gradient : |
---|
| 432 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
---|
| 433 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
---|
| 434 | !! add it to the general momentum trend (ua,va). |
---|
| 435 | !! ua = ua - 1/e1u * zhpi |
---|
| 436 | !! va = va - 1/e2v * zhpj |
---|
| 437 | !! |
---|
| 438 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
| 439 | !! - Save the trend (l_trddyn=T) |
---|
[503] | 440 | !!---------------------------------------------------------------------- |
---|
[2715] | 441 | USE oce, ONLY: zhpi => ta , zhpj => sa ! (ta,sa) used as 3D workspace |
---|
[455] | 442 | !! |
---|
[503] | 443 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 444 | !! |
---|
| 445 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 446 | REAL(wp) :: zcoef0, zuap, zvap ! temporary scalars |
---|
[455] | 447 | !!---------------------------------------------------------------------- |
---|
| 448 | |
---|
| 449 | IF( kt == nit000 ) THEN |
---|
| 450 | IF(lwp) WRITE(numout,*) |
---|
| 451 | IF(lwp) WRITE(numout,*) 'dyn:hpg_hel : hydrostatic pressure gradient trend' |
---|
| 452 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, helsinki modified scheme' |
---|
[216] | 453 | ENDIF |
---|
| 454 | |
---|
[503] | 455 | ! Local constant initialization |
---|
[2528] | 456 | zcoef0 = - grav * 0.5_wp |
---|
[455] | 457 | |
---|
[503] | 458 | ! Surface value |
---|
[3] | 459 | DO jj = 2, jpjm1 |
---|
| 460 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[455] | 461 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 462 | zhpi(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj ,1) * rhd(ji+1,jj ,1) & |
---|
| 463 | & - fse3t(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 464 | zhpj(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( fse3t(ji ,jj+1,1) * rhd(ji ,jj+1,1) & |
---|
| 465 | & - fse3t(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 466 | ! s-coordinate pressure gradient correction |
---|
| 467 | zuap = -zcoef0 * ( rhd (ji+1,jj,1) + rhd (ji,jj,1) ) & |
---|
| 468 | & * ( fsdept(ji+1,jj,1) - fsdept(ji,jj,1) ) / e1u(ji,jj) |
---|
| 469 | zvap = -zcoef0 * ( rhd (ji,jj+1,1) + rhd (ji,jj,1) ) & |
---|
| 470 | & * ( fsdept(ji,jj+1,1) - fsdept(ji,jj,1) ) / e2v(ji,jj) |
---|
[3] | 471 | ! add to the general momentum trend |
---|
[455] | 472 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) + zuap |
---|
| 473 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) + zvap |
---|
[3] | 474 | END DO |
---|
| 475 | END DO |
---|
[503] | 476 | ! |
---|
| 477 | ! interior value (2=<jk=<jpkm1) |
---|
[3] | 478 | DO jk = 2, jpkm1 |
---|
| 479 | DO jj = 2, jpjm1 |
---|
| 480 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[455] | 481 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 482 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
---|
| 483 | & + zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj,jk ) * rhd(ji+1,jj,jk) & |
---|
| 484 | & -fse3t(ji ,jj,jk ) * rhd(ji ,jj,jk) ) & |
---|
| 485 | & + zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj,jk-1) * rhd(ji+1,jj,jk-1) & |
---|
| 486 | & -fse3t(ji ,jj,jk-1) * rhd(ji ,jj,jk-1) ) |
---|
| 487 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
---|
[2528] | 488 | & + zcoef0 / e2v(ji,jj) * ( fse3t(ji,jj+1,jk ) * rhd(ji,jj+1,jk) & |
---|
[455] | 489 | & -fse3t(ji,jj ,jk ) * rhd(ji,jj, jk) ) & |
---|
[2528] | 490 | & + zcoef0 / e2v(ji,jj) * ( fse3t(ji,jj+1,jk-1) * rhd(ji,jj+1,jk-1) & |
---|
[455] | 491 | & -fse3t(ji,jj ,jk-1) * rhd(ji,jj, jk-1) ) |
---|
| 492 | ! s-coordinate pressure gradient correction |
---|
| 493 | zuap = - zcoef0 * ( rhd (ji+1,jj,jk) + rhd (ji,jj,jk) ) & |
---|
| 494 | & * ( fsdept(ji+1,jj,jk) - fsdept(ji,jj,jk) ) / e1u(ji,jj) |
---|
| 495 | zvap = - zcoef0 * ( rhd (ji,jj+1,jk) + rhd (ji,jj,jk) ) & |
---|
| 496 | & * ( fsdept(ji,jj+1,jk) - fsdept(ji,jj,jk) ) / e2v(ji,jj) |
---|
| 497 | ! add to the general momentum trend |
---|
| 498 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) + zuap |
---|
| 499 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) + zvap |
---|
| 500 | END DO |
---|
| 501 | END DO |
---|
| 502 | END DO |
---|
[503] | 503 | ! |
---|
[455] | 504 | END SUBROUTINE hpg_hel |
---|
| 505 | |
---|
| 506 | |
---|
| 507 | SUBROUTINE hpg_wdj( kt ) |
---|
| 508 | !!--------------------------------------------------------------------- |
---|
| 509 | !! *** ROUTINE hpg_wdj *** |
---|
| 510 | !! |
---|
| 511 | !! ** Method : Weighted Density Jacobian (wdj) scheme (song 1998) |
---|
[1601] | 512 | !! The weighting coefficients from the namelist parameter rn_gamma |
---|
| 513 | !! (alpha=0.5-rn_gamma ; beta=1-alpha=0.5+rn_gamma |
---|
[455] | 514 | !! |
---|
| 515 | !! Reference : Song, Mon. Wea. Rev., 126, 3213-3230, 1998. |
---|
[503] | 516 | !!---------------------------------------------------------------------- |
---|
[2715] | 517 | USE oce, ONLY: zhpi => ta , zhpj => sa ! (ta,sa) used as 3D workspace |
---|
[455] | 518 | !! |
---|
[503] | 519 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 520 | !! |
---|
| 521 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 522 | REAL(wp) :: zcoef0, zuap, zvap ! temporary scalars |
---|
| 523 | REAL(wp) :: zalph , zbeta ! " " |
---|
[455] | 524 | !!---------------------------------------------------------------------- |
---|
| 525 | |
---|
| 526 | IF( kt == nit000 ) THEN |
---|
| 527 | IF(lwp) WRITE(numout,*) |
---|
| 528 | IF(lwp) WRITE(numout,*) 'dyn:hpg_wdj : hydrostatic pressure gradient trend' |
---|
| 529 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ Weighted Density Jacobian' |
---|
| 530 | ENDIF |
---|
| 531 | |
---|
| 532 | ! Local constant initialization |
---|
[2528] | 533 | zcoef0 = - grav * 0.5_wp |
---|
| 534 | zalph = 0.5_wp - rn_gamma ! weighting coefficients (alpha=0.5-rn_gamma |
---|
| 535 | zbeta = 0.5_wp + rn_gamma ! (beta =1-alpha=0.5+rn_gamma |
---|
[455] | 536 | |
---|
| 537 | ! Surface value (no ponderation) |
---|
| 538 | DO jj = 2, jpjm1 |
---|
| 539 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 540 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 541 | zhpi(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( fse3w(ji+1,jj ,1) * rhd(ji+1,jj ,1) & |
---|
| 542 | & - fse3w(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 543 | zhpj(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( fse3w(ji ,jj+1,1) * rhd(ji ,jj+1,1) & |
---|
| 544 | & - fse3w(ji ,jj ,1) * rhd(ji, jj ,1) ) |
---|
| 545 | ! s-coordinate pressure gradient correction |
---|
| 546 | zuap = -zcoef0 * ( rhd (ji+1,jj,1) + rhd (ji,jj,1) ) & |
---|
| 547 | & * ( fsde3w(ji+1,jj,1) - fsde3w(ji,jj,1) ) / e1u(ji,jj) |
---|
| 548 | zvap = -zcoef0 * ( rhd (ji,jj+1,1) + rhd (ji,jj,1) ) & |
---|
| 549 | & * ( fsde3w(ji,jj+1,1) - fsde3w(ji,jj,1) ) / e2v(ji,jj) |
---|
| 550 | ! add to the general momentum trend |
---|
| 551 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) + zuap |
---|
| 552 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) + zvap |
---|
| 553 | END DO |
---|
| 554 | END DO |
---|
| 555 | |
---|
| 556 | ! Interior value (2=<jk=<jpkm1) (weighted with zalph & zbeta) |
---|
| 557 | DO jk = 2, jpkm1 |
---|
| 558 | DO jj = 2, jpjm1 |
---|
| 559 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 560 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) + zcoef0 / e1u(ji,jj) & |
---|
| 561 | & * ( ( fsde3w(ji+1,jj,jk ) + fsde3w(ji,jj,jk ) & |
---|
| 562 | & - fsde3w(ji+1,jj,jk-1) - fsde3w(ji,jj,jk-1) ) & |
---|
| 563 | & * ( zalph * ( rhd (ji+1,jj,jk-1) - rhd (ji,jj,jk-1) ) & |
---|
| 564 | & + zbeta * ( rhd (ji+1,jj,jk ) - rhd (ji,jj,jk ) ) ) & |
---|
| 565 | & - ( rhd (ji+1,jj,jk ) + rhd (ji,jj,jk ) & |
---|
| 566 | & - rhd (ji+1,jj,jk-1) - rhd (ji,jj,jk-1) ) & |
---|
| 567 | & * ( zalph * ( fsde3w(ji+1,jj,jk-1) - fsde3w(ji,jj,jk-1) ) & |
---|
| 568 | & + zbeta * ( fsde3w(ji+1,jj,jk ) - fsde3w(ji,jj,jk ) ) ) ) |
---|
| 569 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) + zcoef0 / e2v(ji,jj) & |
---|
| 570 | & * ( ( fsde3w(ji,jj+1,jk ) + fsde3w(ji,jj,jk ) & |
---|
| 571 | & - fsde3w(ji,jj+1,jk-1) - fsde3w(ji,jj,jk-1) ) & |
---|
| 572 | & * ( zalph * ( rhd (ji,jj+1,jk-1) - rhd (ji,jj,jk-1) ) & |
---|
| 573 | & + zbeta * ( rhd (ji,jj+1,jk ) - rhd (ji,jj,jk ) ) ) & |
---|
| 574 | & - ( rhd (ji,jj+1,jk ) + rhd (ji,jj,jk ) & |
---|
| 575 | & - rhd (ji,jj+1,jk-1) - rhd (ji,jj,jk-1) ) & |
---|
| 576 | & * ( zalph * ( fsde3w(ji,jj+1,jk-1) - fsde3w(ji,jj,jk-1) ) & |
---|
| 577 | & + zbeta * ( fsde3w(ji,jj+1,jk ) - fsde3w(ji,jj,jk ) ) ) ) |
---|
[3] | 578 | ! add to the general momentum trend |
---|
| 579 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
---|
| 580 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
---|
[455] | 581 | END DO |
---|
[3] | 582 | END DO |
---|
| 583 | END DO |
---|
[503] | 584 | ! |
---|
[455] | 585 | END SUBROUTINE hpg_wdj |
---|
[216] | 586 | |
---|
[455] | 587 | |
---|
| 588 | SUBROUTINE hpg_djc( kt ) |
---|
| 589 | !!--------------------------------------------------------------------- |
---|
| 590 | !! *** ROUTINE hpg_djc *** |
---|
| 591 | !! |
---|
| 592 | !! ** Method : Density Jacobian with Cubic polynomial scheme |
---|
| 593 | !! |
---|
[503] | 594 | !! Reference: Shchepetkin and McWilliams, J. Geophys. Res., 108(C3), 3090, 2003 |
---|
[455] | 595 | !!---------------------------------------------------------------------- |
---|
[2715] | 596 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
---|
| 597 | USE oce , ONLY: zhpi => ta , zhpj => sa ! (ta,sa) used as 3D workspace |
---|
| 598 | USE wrk_nemo, ONLY: drhox => wrk_3d_1 , dzx => wrk_3d_2 |
---|
| 599 | USE wrk_nemo, ONLY: drhou => wrk_3d_3 , dzu => wrk_3d_4 , rho_i => wrk_3d_5 |
---|
| 600 | USE wrk_nemo, ONLY: drhoy => wrk_3d_6 , dzy => wrk_3d_7 |
---|
| 601 | USE wrk_nemo, ONLY: drhov => wrk_3d_8 , dzv => wrk_3d_9 , rho_j => wrk_3d_10 |
---|
| 602 | USE wrk_nemo, ONLY: drhoz => wrk_3d_11 , dzz => wrk_3d_12 |
---|
| 603 | USE wrk_nemo, ONLY: drhow => wrk_3d_13 , dzw => wrk_3d_14 |
---|
| 604 | USE wrk_nemo, ONLY: rho_k => wrk_3d_15 |
---|
[503] | 605 | !! |
---|
| 606 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 607 | !! |
---|
| 608 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 609 | REAL(wp) :: zcoef0, zep, cffw ! temporary scalars |
---|
| 610 | REAL(wp) :: z1_10, cffu, cffx ! " " |
---|
| 611 | REAL(wp) :: z1_12, cffv, cffy ! " " |
---|
[455] | 612 | !!---------------------------------------------------------------------- |
---|
| 613 | |
---|
[2715] | 614 | IF( wrk_in_use(3, 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15) ) THEN |
---|
| 615 | CALL ctl_stop('dyn:hpg_djc: requested workspace arrays unavailable') ; RETURN |
---|
| 616 | ENDIF |
---|
| 617 | |
---|
[455] | 618 | IF( kt == nit000 ) THEN |
---|
| 619 | IF(lwp) WRITE(numout,*) |
---|
| 620 | IF(lwp) WRITE(numout,*) 'dyn:hpg_djc : hydrostatic pressure gradient trend' |
---|
| 621 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, density Jacobian with cubic polynomial scheme' |
---|
[216] | 622 | ENDIF |
---|
| 623 | |
---|
[503] | 624 | ! Local constant initialization |
---|
[2528] | 625 | zcoef0 = - grav * 0.5_wp |
---|
| 626 | z1_10 = 1._wp / 10._wp |
---|
| 627 | z1_12 = 1._wp / 12._wp |
---|
[455] | 628 | |
---|
| 629 | !---------------------------------------------------------------------------------------- |
---|
| 630 | ! compute and store in provisional arrays elementary vertical and horizontal differences |
---|
| 631 | !---------------------------------------------------------------------------------------- |
---|
| 632 | |
---|
| 633 | !!bug gm Not a true bug, but... dzz=e3w for dzx, dzy verify what it is really |
---|
| 634 | |
---|
| 635 | DO jk = 2, jpkm1 |
---|
| 636 | DO jj = 2, jpjm1 |
---|
| 637 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 638 | drhoz(ji,jj,jk) = rhd (ji ,jj ,jk) - rhd (ji,jj,jk-1) |
---|
| 639 | dzz (ji,jj,jk) = fsde3w(ji ,jj ,jk) - fsde3w(ji,jj,jk-1) |
---|
| 640 | drhox(ji,jj,jk) = rhd (ji+1,jj ,jk) - rhd (ji,jj,jk ) |
---|
| 641 | dzx (ji,jj,jk) = fsde3w(ji+1,jj ,jk) - fsde3w(ji,jj,jk ) |
---|
| 642 | drhoy(ji,jj,jk) = rhd (ji ,jj+1,jk) - rhd (ji,jj,jk ) |
---|
| 643 | dzy (ji,jj,jk) = fsde3w(ji ,jj+1,jk) - fsde3w(ji,jj,jk ) |
---|
| 644 | END DO |
---|
| 645 | END DO |
---|
| 646 | END DO |
---|
| 647 | |
---|
| 648 | !------------------------------------------------------------------------- |
---|
| 649 | ! compute harmonic averages using eq. 5.18 |
---|
| 650 | !------------------------------------------------------------------------- |
---|
| 651 | zep = 1.e-15 |
---|
| 652 | |
---|
[503] | 653 | !!bug gm drhoz not defined at level 1 and used (jk-1 with jk=2) |
---|
| 654 | !!bug gm idem for drhox, drhoy et ji=jpi and jj=jpj |
---|
[455] | 655 | |
---|
| 656 | DO jk = 2, jpkm1 |
---|
| 657 | DO jj = 2, jpjm1 |
---|
| 658 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2528] | 659 | cffw = 2._wp * drhoz(ji ,jj ,jk) * drhoz(ji,jj,jk-1) |
---|
[455] | 660 | |
---|
[2528] | 661 | cffu = 2._wp * drhox(ji+1,jj ,jk) * drhox(ji,jj,jk ) |
---|
| 662 | cffx = 2._wp * dzx (ji+1,jj ,jk) * dzx (ji,jj,jk ) |
---|
[455] | 663 | |
---|
[2528] | 664 | cffv = 2._wp * drhoy(ji ,jj+1,jk) * drhoy(ji,jj,jk ) |
---|
| 665 | cffy = 2._wp * dzy (ji ,jj+1,jk) * dzy (ji,jj,jk ) |
---|
[455] | 666 | |
---|
| 667 | IF( cffw > zep) THEN |
---|
[2528] | 668 | drhow(ji,jj,jk) = 2._wp * drhoz(ji,jj,jk) * drhoz(ji,jj,jk-1) & |
---|
| 669 | & / ( drhoz(ji,jj,jk) + drhoz(ji,jj,jk-1) ) |
---|
[455] | 670 | ELSE |
---|
[2528] | 671 | drhow(ji,jj,jk) = 0._wp |
---|
[455] | 672 | ENDIF |
---|
| 673 | |
---|
[2528] | 674 | dzw(ji,jj,jk) = 2._wp * dzz(ji,jj,jk) * dzz(ji,jj,jk-1) & |
---|
| 675 | & / ( dzz(ji,jj,jk) + dzz(ji,jj,jk-1) ) |
---|
[455] | 676 | |
---|
| 677 | IF( cffu > zep ) THEN |
---|
[2528] | 678 | drhou(ji,jj,jk) = 2._wp * drhox(ji+1,jj,jk) * drhox(ji,jj,jk) & |
---|
| 679 | & / ( drhox(ji+1,jj,jk) + drhox(ji,jj,jk) ) |
---|
[455] | 680 | ELSE |
---|
[2528] | 681 | drhou(ji,jj,jk ) = 0._wp |
---|
[455] | 682 | ENDIF |
---|
| 683 | |
---|
| 684 | IF( cffx > zep ) THEN |
---|
[2528] | 685 | dzu(ji,jj,jk) = 2._wp * dzx(ji+1,jj,jk) * dzx(ji,jj,jk) & |
---|
| 686 | & / ( dzx(ji+1,jj,jk) + dzx(ji,jj,jk) ) |
---|
[455] | 687 | ELSE |
---|
[2528] | 688 | dzu(ji,jj,jk) = 0._wp |
---|
[455] | 689 | ENDIF |
---|
| 690 | |
---|
| 691 | IF( cffv > zep ) THEN |
---|
[2528] | 692 | drhov(ji,jj,jk) = 2._wp * drhoy(ji,jj+1,jk) * drhoy(ji,jj,jk) & |
---|
| 693 | & / ( drhoy(ji,jj+1,jk) + drhoy(ji,jj,jk) ) |
---|
[455] | 694 | ELSE |
---|
[2528] | 695 | drhov(ji,jj,jk) = 0._wp |
---|
[455] | 696 | ENDIF |
---|
| 697 | |
---|
| 698 | IF( cffy > zep ) THEN |
---|
[2528] | 699 | dzv(ji,jj,jk) = 2._wp * dzy(ji,jj+1,jk) * dzy(ji,jj,jk) & |
---|
| 700 | & / ( dzy(ji,jj+1,jk) + dzy(ji,jj,jk) ) |
---|
[455] | 701 | ELSE |
---|
[2528] | 702 | dzv(ji,jj,jk) = 0._wp |
---|
[455] | 703 | ENDIF |
---|
| 704 | |
---|
| 705 | END DO |
---|
| 706 | END DO |
---|
| 707 | END DO |
---|
| 708 | |
---|
| 709 | !---------------------------------------------------------------------------------- |
---|
| 710 | ! apply boundary conditions at top and bottom using 5.36-5.37 |
---|
| 711 | !---------------------------------------------------------------------------------- |
---|
[2528] | 712 | drhow(:,:, 1 ) = 1.5_wp * ( drhoz(:,:, 2 ) - drhoz(:,:, 1 ) ) - 0.5_wp * drhow(:,:, 2 ) |
---|
| 713 | drhou(:,:, 1 ) = 1.5_wp * ( drhox(:,:, 2 ) - drhox(:,:, 1 ) ) - 0.5_wp * drhou(:,:, 2 ) |
---|
| 714 | drhov(:,:, 1 ) = 1.5_wp * ( drhoy(:,:, 2 ) - drhoy(:,:, 1 ) ) - 0.5_wp * drhov(:,:, 2 ) |
---|
[455] | 715 | |
---|
[2528] | 716 | drhow(:,:,jpk) = 1.5_wp * ( drhoz(:,:,jpk) - drhoz(:,:,jpkm1) ) - 0.5_wp * drhow(:,:,jpkm1) |
---|
| 717 | drhou(:,:,jpk) = 1.5_wp * ( drhox(:,:,jpk) - drhox(:,:,jpkm1) ) - 0.5_wp * drhou(:,:,jpkm1) |
---|
| 718 | drhov(:,:,jpk) = 1.5_wp * ( drhoy(:,:,jpk) - drhoy(:,:,jpkm1) ) - 0.5_wp * drhov(:,:,jpkm1) |
---|
[455] | 719 | |
---|
| 720 | |
---|
| 721 | !-------------------------------------------------------------- |
---|
| 722 | ! Upper half of top-most grid box, compute and store |
---|
| 723 | !------------------------------------------------------------- |
---|
| 724 | |
---|
| 725 | !!bug gm : e3w-de3w = 0.5*e3w .... and de3w(2)-de3w(1)=e3w(2) .... to be verified |
---|
| 726 | ! true if de3w is really defined as the sum of the e3w scale factors as, it seems to me, it should be |
---|
| 727 | |
---|
| 728 | DO jj = 2, jpjm1 |
---|
| 729 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2528] | 730 | rho_k(ji,jj,1) = -grav * ( fse3w(ji,jj,1) - fsde3w(ji,jj,1) ) & |
---|
| 731 | & * ( rhd(ji,jj,1) & |
---|
| 732 | & + 0.5_wp * ( rhd(ji,jj,2) - rhd(ji,jj,1) ) & |
---|
| 733 | & * ( fse3w (ji,jj,1) - fsde3w(ji,jj,1) ) & |
---|
| 734 | & / ( fsde3w(ji,jj,2) - fsde3w(ji,jj,1) ) ) |
---|
[455] | 735 | END DO |
---|
| 736 | END DO |
---|
| 737 | |
---|
| 738 | !!bug gm : here also, simplification is possible |
---|
| 739 | !!bug gm : optimisation: 1/10 and 1/12 the division should be done before the loop |
---|
| 740 | |
---|
| 741 | DO jk = 2, jpkm1 |
---|
| 742 | DO jj = 2, jpjm1 |
---|
| 743 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 744 | |
---|
| 745 | rho_k(ji,jj,jk) = zcoef0 * ( rhd (ji,jj,jk) + rhd (ji,jj,jk-1) ) & |
---|
| 746 | & * ( fsde3w(ji,jj,jk) - fsde3w(ji,jj,jk-1) ) & |
---|
| 747 | & - grav * z1_10 * ( & |
---|
| 748 | & ( drhow (ji,jj,jk) - drhow (ji,jj,jk-1) ) & |
---|
| 749 | & * ( fsde3w(ji,jj,jk) - fsde3w(ji,jj,jk-1) - z1_12 * ( dzw (ji,jj,jk) + dzw (ji,jj,jk-1) ) ) & |
---|
| 750 | & - ( dzw (ji,jj,jk) - dzw (ji,jj,jk-1) ) & |
---|
| 751 | & * ( rhd (ji,jj,jk) - rhd (ji,jj,jk-1) - z1_12 * ( drhow(ji,jj,jk) + drhow(ji,jj,jk-1) ) ) & |
---|
| 752 | & ) |
---|
| 753 | |
---|
| 754 | rho_i(ji,jj,jk) = zcoef0 * ( rhd (ji+1,jj,jk) + rhd (ji,jj,jk) ) & |
---|
| 755 | & * ( fsde3w(ji+1,jj,jk) - fsde3w(ji,jj,jk) ) & |
---|
| 756 | & - grav* z1_10 * ( & |
---|
| 757 | & ( drhou (ji+1,jj,jk) - drhou (ji,jj,jk) ) & |
---|
| 758 | & * ( fsde3w(ji+1,jj,jk) - fsde3w(ji,jj,jk) - z1_12 * ( dzu (ji+1,jj,jk) + dzu (ji,jj,jk) ) ) & |
---|
| 759 | & - ( dzu (ji+1,jj,jk) - dzu (ji,jj,jk) ) & |
---|
| 760 | & * ( rhd (ji+1,jj,jk) - rhd (ji,jj,jk) - z1_12 * ( drhou(ji+1,jj,jk) + drhou(ji,jj,jk) ) ) & |
---|
| 761 | & ) |
---|
| 762 | |
---|
| 763 | rho_j(ji,jj,jk) = zcoef0 * ( rhd (ji,jj+1,jk) + rhd (ji,jj,jk) ) & |
---|
| 764 | & * ( fsde3w(ji,jj+1,jk) - fsde3w(ji,jj,jk) ) & |
---|
| 765 | & - grav* z1_10 * ( & |
---|
| 766 | & ( drhov (ji,jj+1,jk) - drhov (ji,jj,jk) ) & |
---|
| 767 | & * ( fsde3w(ji,jj+1,jk) - fsde3w(ji,jj,jk) - z1_12 * ( dzv (ji,jj+1,jk) + dzv (ji,jj,jk) ) ) & |
---|
| 768 | & - ( dzv (ji,jj+1,jk) - dzv (ji,jj,jk) ) & |
---|
| 769 | & * ( rhd (ji,jj+1,jk) - rhd (ji,jj,jk) - z1_12 * ( drhov(ji,jj+1,jk) + drhov(ji,jj,jk) ) ) & |
---|
| 770 | & ) |
---|
| 771 | |
---|
| 772 | END DO |
---|
| 773 | END DO |
---|
| 774 | END DO |
---|
| 775 | CALL lbc_lnk(rho_k,'W',1.) |
---|
| 776 | CALL lbc_lnk(rho_i,'U',1.) |
---|
| 777 | CALL lbc_lnk(rho_j,'V',1.) |
---|
| 778 | |
---|
| 779 | |
---|
| 780 | ! --------------- |
---|
| 781 | ! Surface value |
---|
| 782 | ! --------------- |
---|
| 783 | DO jj = 2, jpjm1 |
---|
| 784 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 785 | zhpi(ji,jj,1) = ( rho_k(ji+1,jj ,1) - rho_k(ji,jj,1) - rho_i(ji,jj,1) ) / e1u(ji,jj) |
---|
| 786 | zhpj(ji,jj,1) = ( rho_k(ji ,jj+1,1) - rho_k(ji,jj,1) - rho_j(ji,jj,1) ) / e2v(ji,jj) |
---|
| 787 | ! add to the general momentum trend |
---|
| 788 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
---|
| 789 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
---|
| 790 | END DO |
---|
| 791 | END DO |
---|
| 792 | |
---|
| 793 | ! ---------------- |
---|
| 794 | ! interior value (2=<jk=<jpkm1) |
---|
| 795 | ! ---------------- |
---|
| 796 | DO jk = 2, jpkm1 |
---|
| 797 | DO jj = 2, jpjm1 |
---|
| 798 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 799 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 800 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
---|
| 801 | & + ( ( rho_k(ji+1,jj,jk) - rho_k(ji,jj,jk ) ) & |
---|
| 802 | & - ( rho_i(ji ,jj,jk) - rho_i(ji,jj,jk-1) ) ) / e1u(ji,jj) |
---|
| 803 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
---|
| 804 | & + ( ( rho_k(ji,jj+1,jk) - rho_k(ji,jj,jk ) ) & |
---|
| 805 | & -( rho_j(ji,jj ,jk) - rho_j(ji,jj,jk-1) ) ) / e2v(ji,jj) |
---|
| 806 | ! add to the general momentum trend |
---|
| 807 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
---|
| 808 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
---|
| 809 | END DO |
---|
| 810 | END DO |
---|
| 811 | END DO |
---|
[503] | 812 | ! |
---|
[2715] | 813 | IF( wrk_not_released(3, 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15) ) & |
---|
| 814 | CALL ctl_stop('dyn:hpg_djc: failed to release workspace arrays') |
---|
| 815 | ! |
---|
[455] | 816 | END SUBROUTINE hpg_djc |
---|
| 817 | |
---|
| 818 | |
---|
| 819 | SUBROUTINE hpg_rot( kt ) |
---|
| 820 | !!--------------------------------------------------------------------- |
---|
| 821 | !! *** ROUTINE hpg_rot *** |
---|
| 822 | !! |
---|
| 823 | !! ** Method : rotated axes scheme (Thiem and Berntsen 2005) |
---|
| 824 | !! |
---|
| 825 | !! Reference: Thiem & Berntsen, Ocean Modelling, In press, 2005. |
---|
| 826 | !!---------------------------------------------------------------------- |
---|
[2715] | 827 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
---|
| 828 | USE oce , ONLY: zhpi => ta , zhpj => sa ! (ta,sa) used as 3D workspace |
---|
| 829 | USE wrk_nemo, ONLY: zdistr => wrk_2d_1 , zsina => wrk_2d_2 , zcosa => wrk_2d_3 |
---|
| 830 | USE wrk_nemo, ONLY: zhpiorg => wrk_3d_1 , zhpirot => wrk_3d_2 |
---|
| 831 | USE wrk_nemo, ONLY: zhpitra => wrk_3d_3 , zhpine => wrk_3d_4 |
---|
| 832 | USE wrk_nemo, ONLY: zhpjorg => wrk_3d_5 , zhpjrot => wrk_3d_6 |
---|
| 833 | USE wrk_nemo, ONLY: zhpjtra => wrk_3d_7 , zhpjne => wrk_3d_8 |
---|
[503] | 834 | !! |
---|
| 835 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 836 | !! |
---|
| 837 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 838 | REAL(wp) :: zforg, zcoef0, zuap, zmskd1, zmskd1m ! temporary scalar |
---|
| 839 | REAL(wp) :: zfrot , zvap, zmskd2, zmskd2m ! " " |
---|
[455] | 840 | !!---------------------------------------------------------------------- |
---|
| 841 | |
---|
[2715] | 842 | IF( wrk_in_use(2, 1,2,3) .OR. & |
---|
| 843 | wrk_in_use(3, 1,2,3,4,5,6,7,8) ) THEN |
---|
| 844 | CALL ctl_stop('dyn:hpg_rot: requested workspace arrays unavailable') ; RETURN |
---|
| 845 | ENDIF |
---|
| 846 | |
---|
[455] | 847 | IF( kt == nit000 ) THEN |
---|
| 848 | IF(lwp) WRITE(numout,*) |
---|
| 849 | IF(lwp) WRITE(numout,*) 'dyn:hpg_rot : hydrostatic pressure gradient trend' |
---|
| 850 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, rotated axes scheme used' |
---|
[3] | 851 | ENDIF |
---|
| 852 | |
---|
[455] | 853 | ! ------------------------------- |
---|
| 854 | ! Local constant initialization |
---|
| 855 | ! ------------------------------- |
---|
[2528] | 856 | zcoef0 = - grav * 0.5_wp |
---|
| 857 | zforg = 0.95_wp |
---|
| 858 | zfrot = 1._wp - zforg |
---|
[3] | 859 | |
---|
[455] | 860 | ! inverse of the distance between 2 diagonal T-points (defined at F-point) (here zcoef0/distance) |
---|
| 861 | zdistr(:,:) = zcoef0 / SQRT( e1f(:,:)*e1f(:,:) + e2f(:,:)*e1f(:,:) ) |
---|
[3] | 862 | |
---|
[455] | 863 | ! sinus and cosinus of diagonal angle at F-point |
---|
| 864 | zsina(:,:) = ATAN2( e2f(:,:), e1f(:,:) ) |
---|
| 865 | zcosa(:,:) = COS( zsina(:,:) ) |
---|
| 866 | zsina(:,:) = SIN( zsina(:,:) ) |
---|
| 867 | |
---|
| 868 | ! --------------- |
---|
| 869 | ! Surface value |
---|
| 870 | ! --------------- |
---|
| 871 | ! compute and add to the general trend the pressure gradients along the axes |
---|
| 872 | DO jj = 2, jpjm1 |
---|
| 873 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 874 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 875 | zhpiorg(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj,1) * rhd(ji+1,jj,1) & |
---|
| 876 | & - fse3t(ji ,jj,1) * rhd(ji ,jj,1) ) |
---|
| 877 | zhpjorg(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( fse3t(ji,jj+1,1) * rhd(ji,jj+1,1) & |
---|
| 878 | & - fse3t(ji,jj ,1) * rhd(ji,jj ,1) ) |
---|
| 879 | ! s-coordinate pressure gradient correction |
---|
| 880 | zuap = -zcoef0 * ( rhd (ji+1,jj ,1) + rhd (ji,jj,1) ) & |
---|
| 881 | & * ( fsdept(ji+1,jj ,1) - fsdept(ji,jj,1) ) / e1u(ji,jj) |
---|
| 882 | zvap = -zcoef0 * ( rhd (ji ,jj+1,1) + rhd (ji,jj,1) ) & |
---|
| 883 | & * ( fsdept(ji ,jj+1,1) - fsdept(ji,jj,1) ) / e2v(ji,jj) |
---|
| 884 | ! add to the general momentum trend |
---|
| 885 | ua(ji,jj,1) = ua(ji,jj,1) + zforg * ( zhpiorg(ji,jj,1) + zuap ) |
---|
| 886 | va(ji,jj,1) = va(ji,jj,1) + zforg * ( zhpjorg(ji,jj,1) + zvap ) |
---|
| 887 | END DO |
---|
| 888 | END DO |
---|
| 889 | |
---|
| 890 | ! compute the pressure gradients in the diagonal directions |
---|
| 891 | DO jj = 1, jpjm1 |
---|
| 892 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 893 | zmskd1 = tmask(ji+1,jj+1,1) * tmask(ji ,jj,1) ! mask in the 1st diagnonal |
---|
| 894 | zmskd2 = tmask(ji ,jj+1,1) * tmask(ji+1,jj,1) ! mask in the 2nd diagnonal |
---|
| 895 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 896 | zhpitra(ji,jj,1) = zdistr(ji,jj) * zmskd1 * ( fse3t(ji+1,jj+1,1) * rhd(ji+1,jj+1,1) & |
---|
| 897 | & - fse3t(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 898 | zhpjtra(ji,jj,1) = zdistr(ji,jj) * zmskd2 * ( fse3t(ji ,jj+1,1) * rhd(ji ,jj+1,1) & |
---|
| 899 | & - fse3t(ji+1,jj ,1) * rhd(ji+1,jj ,1) ) |
---|
| 900 | ! s-coordinate pressure gradient correction |
---|
| 901 | zuap = -zdistr(ji,jj) * zmskd1 * ( rhd (ji+1,jj+1,1) + rhd (ji ,jj,1) ) & |
---|
| 902 | & * ( fsdept(ji+1,jj+1,1) - fsdept(ji ,jj,1) ) |
---|
| 903 | zvap = -zdistr(ji,jj) * zmskd2 * ( rhd (ji ,jj+1,1) + rhd (ji+1,jj,1) ) & |
---|
| 904 | & * ( fsdept(ji ,jj+1,1) - fsdept(ji+1,jj,1) ) |
---|
| 905 | ! back rotation |
---|
| 906 | zhpine(ji,jj,1) = zcosa(ji,jj) * ( zhpitra(ji,jj,1) + zuap ) & |
---|
| 907 | & - zsina(ji,jj) * ( zhpjtra(ji,jj,1) + zvap ) |
---|
| 908 | zhpjne(ji,jj,1) = zsina(ji,jj) * ( zhpitra(ji,jj,1) + zuap ) & |
---|
| 909 | & + zcosa(ji,jj) * ( zhpjtra(ji,jj,1) + zvap ) |
---|
| 910 | END DO |
---|
| 911 | END DO |
---|
| 912 | |
---|
| 913 | ! interpolate and add to the general trend the diagonal gradient |
---|
| 914 | DO jj = 2, jpjm1 |
---|
| 915 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 916 | ! averaging |
---|
| 917 | zhpirot(ji,jj,1) = 0.5 * ( zhpine(ji,jj,1) + zhpine(ji ,jj-1,1) ) |
---|
| 918 | zhpjrot(ji,jj,1) = 0.5 * ( zhpjne(ji,jj,1) + zhpjne(ji-1,jj ,1) ) |
---|
| 919 | ! add to the general momentum trend |
---|
| 920 | ua(ji,jj,1) = ua(ji,jj,1) + zfrot * zhpirot(ji,jj,1) |
---|
| 921 | va(ji,jj,1) = va(ji,jj,1) + zfrot * zhpjrot(ji,jj,1) |
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| 922 | END DO |
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| 923 | END DO |
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| 924 | |
---|
| 925 | ! ----------------- |
---|
| 926 | ! 2. interior value (2=<jk=<jpkm1) |
---|
| 927 | ! ----------------- |
---|
| 928 | ! compute and add to the general trend the pressure gradients along the axes |
---|
| 929 | DO jk = 2, jpkm1 |
---|
| 930 | DO jj = 2, jpjm1 |
---|
| 931 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 932 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 933 | zhpiorg(ji,jj,jk) = zhpiorg(ji,jj,jk-1) & |
---|
| 934 | & + zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj,jk ) * rhd(ji+1,jj,jk ) & |
---|
| 935 | & - fse3t(ji ,jj,jk ) * rhd(ji ,jj,jk ) & |
---|
| 936 | & + fse3t(ji+1,jj,jk-1) * rhd(ji+1,jj,jk-1) & |
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| 937 | & - fse3t(ji ,jj,jk-1) * rhd(ji ,jj,jk-1) ) |
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| 938 | zhpjorg(ji,jj,jk) = zhpjorg(ji,jj,jk-1) & |
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| 939 | & + zcoef0 / e2v(ji,jj) * ( fse3t(ji,jj+1,jk ) * rhd(ji,jj+1,jk ) & |
---|
| 940 | & - fse3t(ji,jj ,jk ) * rhd(ji,jj, jk ) & |
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| 941 | & + fse3t(ji,jj+1,jk-1) * rhd(ji,jj+1,jk-1) & |
---|
| 942 | & - fse3t(ji,jj ,jk-1) * rhd(ji,jj, jk-1) ) |
---|
| 943 | ! s-coordinate pressure gradient correction |
---|
| 944 | zuap = - zcoef0 * ( rhd (ji+1,jj ,jk) + rhd (ji,jj,jk) ) & |
---|
| 945 | & * ( fsdept(ji+1,jj ,jk) - fsdept(ji,jj,jk) ) / e1u(ji,jj) |
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| 946 | zvap = - zcoef0 * ( rhd (ji ,jj+1,jk) + rhd (ji,jj,jk) ) & |
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| 947 | & * ( fsdept(ji ,jj+1,jk) - fsdept(ji,jj,jk) ) / e2v(ji,jj) |
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| 948 | ! add to the general momentum trend |
---|
| 949 | ua(ji,jj,jk) = ua(ji,jj,jk) + zforg*( zhpiorg(ji,jj,jk) + zuap ) |
---|
| 950 | va(ji,jj,jk) = va(ji,jj,jk) + zforg*( zhpjorg(ji,jj,jk) + zvap ) |
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| 951 | END DO |
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| 952 | END DO |
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| 953 | END DO |
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| 954 | |
---|
| 955 | ! compute the pressure gradients in the diagonal directions |
---|
| 956 | DO jk = 2, jpkm1 |
---|
| 957 | DO jj = 1, jpjm1 |
---|
| 958 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 959 | zmskd1 = tmask(ji+1,jj+1,jk ) * tmask(ji ,jj,jk ) ! level jk mask in the 1st diagnonal |
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| 960 | zmskd1m = tmask(ji+1,jj+1,jk-1) * tmask(ji ,jj,jk-1) ! level jk-1 " " |
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| 961 | zmskd2 = tmask(ji ,jj+1,jk ) * tmask(ji+1,jj,jk ) ! level jk mask in the 2nd diagnonal |
---|
| 962 | zmskd2m = tmask(ji ,jj+1,jk-1) * tmask(ji+1,jj,jk-1) ! level jk-1 " " |
---|
| 963 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 964 | zhpitra(ji,jj,jk) = zhpitra(ji,jj,jk-1) & |
---|
| 965 | & + zdistr(ji,jj) * zmskd1 * ( fse3t(ji+1,jj+1,jk ) * rhd(ji+1,jj+1,jk) & |
---|
| 966 | & -fse3t(ji ,jj ,jk ) * rhd(ji ,jj ,jk) ) & |
---|
| 967 | & + zdistr(ji,jj) * zmskd1m * ( fse3t(ji+1,jj+1,jk-1) * rhd(ji+1,jj+1,jk-1) & |
---|
| 968 | & -fse3t(ji ,jj ,jk-1) * rhd(ji ,jj ,jk-1) ) |
---|
| 969 | zhpjtra(ji,jj,jk) = zhpjtra(ji,jj,jk-1) & |
---|
| 970 | & + zdistr(ji,jj) * zmskd2 * ( fse3t(ji ,jj+1,jk ) * rhd(ji ,jj+1,jk) & |
---|
| 971 | & -fse3t(ji+1,jj ,jk ) * rhd(ji+1,jj, jk) ) & |
---|
| 972 | & + zdistr(ji,jj) * zmskd2m * ( fse3t(ji ,jj+1,jk-1) * rhd(ji ,jj+1,jk-1) & |
---|
| 973 | & -fse3t(ji+1,jj ,jk-1) * rhd(ji+1,jj, jk-1) ) |
---|
| 974 | ! s-coordinate pressure gradient correction |
---|
| 975 | zuap = - zdistr(ji,jj) * zmskd1 * ( rhd (ji+1,jj+1,jk) + rhd (ji ,jj,jk) ) & |
---|
| 976 | & * ( fsdept(ji+1,jj+1,jk) - fsdept(ji ,jj,jk) ) |
---|
| 977 | zvap = - zdistr(ji,jj) * zmskd2 * ( rhd (ji ,jj+1,jk) + rhd (ji+1,jj,jk) ) & |
---|
| 978 | & * ( fsdept(ji ,jj+1,jk) - fsdept(ji+1,jj,jk) ) |
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| 979 | ! back rotation |
---|
| 980 | zhpine(ji,jj,jk) = zcosa(ji,jj) * ( zhpitra(ji,jj,jk) + zuap ) & |
---|
| 981 | & - zsina(ji,jj) * ( zhpjtra(ji,jj,jk) + zvap ) |
---|
| 982 | zhpjne(ji,jj,jk) = zsina(ji,jj) * ( zhpitra(ji,jj,jk) + zuap ) & |
---|
| 983 | & + zcosa(ji,jj) * ( zhpjtra(ji,jj,jk) + zvap ) |
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| 984 | END DO |
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| 985 | END DO |
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| 986 | END DO |
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| 987 | |
---|
| 988 | ! interpolate and add to the general trend |
---|
| 989 | DO jk = 2, jpkm1 |
---|
| 990 | DO jj = 2, jpjm1 |
---|
| 991 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 992 | ! averaging |
---|
| 993 | zhpirot(ji,jj,jk) = 0.5 * ( zhpine(ji,jj,jk) + zhpine(ji ,jj-1,jk) ) |
---|
| 994 | zhpjrot(ji,jj,jk) = 0.5 * ( zhpjne(ji,jj,jk) + zhpjne(ji-1,jj ,jk) ) |
---|
| 995 | ! add to the general momentum trend |
---|
| 996 | ua(ji,jj,jk) = ua(ji,jj,jk) + zfrot * zhpirot(ji,jj,jk) |
---|
| 997 | va(ji,jj,jk) = va(ji,jj,jk) + zfrot * zhpjrot(ji,jj,jk) |
---|
| 998 | END DO |
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| 999 | END DO |
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| 1000 | END DO |
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[503] | 1001 | ! |
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[2715] | 1002 | IF( wrk_not_released(2, 1,2,3) .OR. & |
---|
| 1003 | wrk_not_released(3, 1,2,3,4,5,6,7,8) ) CALL ctl_stop('dyn:hpg_rot: failed to release workspace arrays') |
---|
| 1004 | ! |
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[455] | 1005 | END SUBROUTINE hpg_rot |
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| 1006 | |
---|
[3] | 1007 | !!====================================================================== |
---|
| 1008 | END MODULE dynhpg |
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