[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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[2104] | 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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[503] | 13 | !! Original code for hpg_ctl, hpg_hel hpg_wdj, hpg_djc, hpg_rot |
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[2104] | 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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[2104] | 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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| 33 | USE in_out_manager ! I/O manager |
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[216] | 34 | USE trdmod ! ocean dynamics trends |
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| 35 | USE trdmod_oce ! ocean variables trends |
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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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[3] | 38 | |
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| 39 | IMPLICIT NONE |
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| 40 | PRIVATE |
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| 41 | |
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[2027] | 42 | PUBLIC dyn_hpg ! routine called by step module |
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[2104] | 43 | PUBLIC dyn_hpg_init ! routine called by opa module |
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[3] | 44 | |
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[1601] | 45 | ! !!* Namelist namdyn_hpg : hydrostatic pressure gradient |
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| 46 | LOGICAL , PUBLIC :: ln_hpg_zco = .TRUE. !: z-coordinate - full steps |
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| 47 | LOGICAL , PUBLIC :: ln_hpg_zps = .FALSE. !: z-coordinate - partial steps (interpolation) |
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| 48 | LOGICAL , PUBLIC :: ln_hpg_sco = .FALSE. !: s-coordinate (standard jacobian formulation) |
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| 49 | LOGICAL , PUBLIC :: ln_hpg_hel = .FALSE. !: s-coordinate (helsinki modification) |
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| 50 | LOGICAL , PUBLIC :: ln_hpg_wdj = .FALSE. !: s-coordinate (weighted density jacobian) |
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| 51 | LOGICAL , PUBLIC :: ln_hpg_djc = .FALSE. !: s-coordinate (Density Jacobian with Cubic polynomial) |
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| 52 | LOGICAL , PUBLIC :: ln_hpg_rot = .FALSE. !: s-coordinate (ROTated axes scheme) |
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| 53 | REAL(wp), PUBLIC :: rn_gamma = 0.e0 !: weighting coefficient |
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| 54 | LOGICAL , PUBLIC :: ln_dynhpg_imp = .FALSE. !: semi-implicite hpg flag |
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| 55 | INTEGER , PUBLIC :: nn_dynhpg_rst = 0 !: add dynhpg implicit variables in restart ot not |
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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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[2104] | 63 | !! NEMO/OPA 3.3 , LOCEAN-IPSL (2010) |
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| 64 | !! $Id$ |
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[2236] | 65 | !! Software governed by the CeCILL licence (NEMOGCM/License_CeCILL.txt) |
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[3] | 66 | !!---------------------------------------------------------------------- |
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| 67 | |
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| 68 | CONTAINS |
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| 69 | |
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| 70 | SUBROUTINE dyn_hpg( kt ) |
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| 71 | !!--------------------------------------------------------------------- |
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| 72 | !! *** ROUTINE dyn_hpg *** |
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| 73 | !! |
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[455] | 74 | !! ** Method : Call the hydrostatic pressure gradient routine |
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[503] | 75 | !! using the scheme defined in the namelist |
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[455] | 76 | !! |
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| 77 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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| 78 | !! - Save the trend (l_trddyn=T) |
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[503] | 79 | !!---------------------------------------------------------------------- |
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| 80 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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[3] | 81 | !! |
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[503] | 82 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: ztrdu, ztrdv ! 3D temporary workspace |
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[455] | 83 | !!---------------------------------------------------------------------- |
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| 84 | |
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[503] | 85 | IF( l_trddyn ) THEN ! Temporary saving of ua and va trends (l_trddyn) |
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[455] | 86 | ztrdu(:,:,:) = ua(:,:,:) |
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| 87 | ztrdv(:,:,:) = va(:,:,:) |
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| 88 | ENDIF |
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| 89 | |
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| 90 | SELECT CASE ( nhpg ) ! Hydrastatic pressure gradient computation |
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[503] | 91 | CASE ( 0 ) ; CALL hpg_zco ( kt ) ! z-coordinate |
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| 92 | CASE ( 1 ) ; CALL hpg_zps ( kt ) ! z-coordinate plus partial steps (interpolation) |
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| 93 | CASE ( 2 ) ; CALL hpg_sco ( kt ) ! s-coordinate (standard jacobian formulation) |
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| 94 | CASE ( 3 ) ; CALL hpg_hel ( kt ) ! s-coordinate (helsinki modification) |
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| 95 | CASE ( 4 ) ; CALL hpg_wdj ( kt ) ! s-coordinate (weighted density jacobian) |
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| 96 | CASE ( 5 ) ; CALL hpg_djc ( kt ) ! s-coordinate (Density Jacobian with Cubic polynomial) |
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| 97 | CASE ( 6 ) ; CALL hpg_rot ( kt ) ! s-coordinate (ROTated axes scheme) |
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[455] | 98 | END SELECT |
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| 99 | |
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[503] | 100 | IF( l_trddyn ) THEN ! save the hydrostatic pressure gradient trends for momentum trend diagnostics |
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[455] | 101 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 102 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 103 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_hpg, 'DYN', kt ) |
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[455] | 104 | ENDIF |
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[503] | 105 | ! |
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| 106 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' hpg - Ua: ', mask1=umask, & |
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| 107 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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| 108 | ! |
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[455] | 109 | END SUBROUTINE dyn_hpg |
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| 110 | |
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| 111 | |
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[2104] | 112 | SUBROUTINE dyn_hpg_init |
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[455] | 113 | !!---------------------------------------------------------------------- |
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[2104] | 114 | !! *** ROUTINE dyn_hpg_init *** |
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[455] | 115 | !! |
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| 116 | !! ** Purpose : initializations for the hydrostatic pressure gradient |
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| 117 | !! computation and consistency control |
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| 118 | !! |
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[1601] | 119 | !! ** Action : Read the namelist namdyn_hpg and check the consistency |
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[455] | 120 | !! with the type of vertical coordinate used (zco, zps, sco) |
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| 121 | !!---------------------------------------------------------------------- |
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| 122 | INTEGER :: ioptio = 0 ! temporary integer |
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[1601] | 123 | !! |
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[2104] | 124 | NAMELIST/namdyn_hpg/ ln_hpg_zco , ln_hpg_zps , ln_hpg_sco, ln_hpg_hel, & |
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| 125 | & ln_hpg_wdj , ln_hpg_djc , ln_hpg_rot, rn_gamma , & |
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| 126 | & ln_dynhpg_imp, nn_dynhpg_rst |
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[455] | 127 | !!---------------------------------------------------------------------- |
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[2104] | 128 | ! |
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| 129 | REWIND( numnam ) ! Read Namelist namdyn_hpg |
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| 130 | READ ( numnam, namdyn_hpg ) |
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| 131 | ! |
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| 132 | IF(lwp) THEN ! Control print |
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[455] | 133 | WRITE(numout,*) |
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[2104] | 134 | WRITE(numout,*) 'dyn_hpg_init : hydrostatic pressure gradient initialisation' |
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| 135 | WRITE(numout,*) '~~~~~~~~~~~~' |
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[1601] | 136 | WRITE(numout,*) ' Namelist namdyn_hpg : choice of hpg scheme' |
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| 137 | WRITE(numout,*) ' z-coord. - full steps ln_hpg_zco = ', ln_hpg_zco |
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| 138 | WRITE(numout,*) ' z-coord. - partial steps (interpolation) ln_hpg_zps = ', ln_hpg_zps |
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| 139 | WRITE(numout,*) ' s-coord. (standard jacobian formulation) ln_hpg_sco = ', ln_hpg_sco |
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| 140 | WRITE(numout,*) ' s-coord. (helsinki modification) ln_hpg_hel = ', ln_hpg_hel |
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| 141 | WRITE(numout,*) ' s-coord. (weighted density jacobian) ln_hpg_wdj = ', ln_hpg_wdj |
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| 142 | WRITE(numout,*) ' s-coord. (Density Jacobian: Cubic polynomial) ln_hpg_djc = ', ln_hpg_djc |
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| 143 | WRITE(numout,*) ' s-coord. (ROTated axes scheme) ln_hpg_rot = ', ln_hpg_rot |
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| 144 | WRITE(numout,*) ' weighting coeff. (wdj scheme) rn_gamma = ', rn_gamma |
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| 145 | WRITE(numout,*) ' time stepping: centered (F) or semi-implicit (T) ln_dynhpg_imp = ', ln_dynhpg_imp |
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| 146 | WRITE(numout,*) ' add in restart dynhpg semi-implicit variable nn_dynhpg_rst = ', nn_dynhpg_rst |
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[455] | 147 | ENDIF |
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[2104] | 148 | ! |
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| 149 | IF( .NOT. ln_dynhpg_imp ) nn_dynhpg_rst = 0 ! force no additional dynhpg implicit variables in restart file |
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| 150 | ! |
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| 151 | IF( lk_vvl .AND. .NOT. ln_hpg_sco ) & |
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| 152 | & CALL ctl_stop( 'dyn_hpg_init : variable volume key_vvl require the standard jacobian formulation hpg_sco') |
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| 153 | ! |
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[503] | 154 | ! ! Set nhpg from ln_hpg_... flags |
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[455] | 155 | IF( ln_hpg_zco ) nhpg = 0 |
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| 156 | IF( ln_hpg_zps ) nhpg = 1 |
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| 157 | IF( ln_hpg_sco ) nhpg = 2 |
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| 158 | IF( ln_hpg_hel ) nhpg = 3 |
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| 159 | IF( ln_hpg_wdj ) nhpg = 4 |
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| 160 | IF( ln_hpg_djc ) nhpg = 5 |
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| 161 | IF( ln_hpg_rot ) nhpg = 6 |
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[2104] | 162 | ! |
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[503] | 163 | ! ! Consitency check |
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[455] | 164 | ioptio = 0 |
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| 165 | IF( ln_hpg_zco ) ioptio = ioptio + 1 |
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| 166 | IF( ln_hpg_zps ) ioptio = ioptio + 1 |
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| 167 | IF( ln_hpg_sco ) ioptio = ioptio + 1 |
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| 168 | IF( ln_hpg_hel ) ioptio = ioptio + 1 |
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| 169 | IF( ln_hpg_wdj ) ioptio = ioptio + 1 |
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| 170 | IF( ln_hpg_djc ) ioptio = ioptio + 1 |
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| 171 | IF( ln_hpg_rot ) ioptio = ioptio + 1 |
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[503] | 172 | IF ( ioptio /= 1 ) CALL ctl_stop( ' NO or several hydrostatic pressure gradient options used' ) |
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| 173 | ! |
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[2104] | 174 | END SUBROUTINE dyn_hpg_init |
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[455] | 175 | |
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| 176 | |
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| 177 | SUBROUTINE hpg_zco( kt ) |
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| 178 | !!--------------------------------------------------------------------- |
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| 179 | !! *** ROUTINE hpg_zco *** |
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| 180 | !! |
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| 181 | !! ** Method : z-coordinate case, levels are horizontal surfaces. |
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| 182 | !! The now hydrostatic pressure gradient at a given level, jk, |
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| 183 | !! is computed by taking the vertical integral of the in-situ |
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| 184 | !! density gradient along the model level from the suface to that |
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| 185 | !! level: zhpi = grav ..... |
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| 186 | !! zhpj = grav ..... |
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[3] | 187 | !! add it to the general momentum trend (ua,va). |
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[455] | 188 | !! ua = ua - 1/e1u * zhpi |
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| 189 | !! va = va - 1/e2v * zhpj |
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| 190 | !! |
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[3] | 191 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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[503] | 192 | !!---------------------------------------------------------------------- |
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| 193 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
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| 194 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
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[3] | 195 | !! |
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[503] | 196 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 197 | !! |
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| 198 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 199 | REAL(wp) :: zcoef0, zcoef1 ! temporary scalars |
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[3] | 200 | !!---------------------------------------------------------------------- |
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[455] | 201 | |
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[3] | 202 | IF( kt == nit000 ) THEN |
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| 203 | IF(lwp) WRITE(numout,*) |
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[455] | 204 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zco : hydrostatic pressure gradient trend' |
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| 205 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ z-coordinate case ' |
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[3] | 206 | ENDIF |
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[455] | 207 | |
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| 208 | ! Local constant initialization |
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[32] | 209 | zcoef0 = - grav * 0.5 |
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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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[503] | 255 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
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| 256 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
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| 257 | !! |
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| 258 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 259 | !! |
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| 260 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 261 | INTEGER :: iku, ikv ! temporary integers |
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| 262 | REAL(wp) :: zcoef0, zcoef1, zcoef2, zcoef3 ! temporary scalars |
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[3] | 263 | !!---------------------------------------------------------------------- |
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| 264 | |
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| 265 | IF( kt == nit000 ) THEN |
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| 266 | IF(lwp) WRITE(numout,*) |
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[455] | 267 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zps : hydrostatic pressure gradient trend' |
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[503] | 268 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ z-coordinate with partial steps - vector optimization' |
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[3] | 269 | ENDIF |
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| 270 | |
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[503] | 271 | ! Local constant initialization |
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[32] | 272 | zcoef0 = - grav * 0.5 |
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[3] | 273 | |
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[503] | 274 | ! Surface value |
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[3] | 275 | DO jj = 2, jpjm1 |
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| 276 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[170] | 277 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
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[3] | 278 | ! hydrostatic pressure gradient |
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[455] | 279 | zhpi(ji,jj,1) = zcoef1 * ( rhd(ji+1,jj ,1) - rhd(ji,jj,1) ) / e1u(ji,jj) |
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| 280 | zhpj(ji,jj,1) = zcoef1 * ( rhd(ji ,jj+1,1) - rhd(ji,jj,1) ) / e2v(ji,jj) |
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[3] | 281 | ! add to the general momentum trend |
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| 282 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
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| 283 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
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| 284 | END DO |
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| 285 | END DO |
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| 286 | |
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[503] | 287 | ! interior value (2=<jk=<jpkm1) |
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[3] | 288 | DO jk = 2, jpkm1 |
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| 289 | DO jj = 2, jpjm1 |
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| 290 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[170] | 291 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
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[3] | 292 | ! hydrostatic pressure gradient |
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| 293 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
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[455] | 294 | & + zcoef1 * ( ( rhd(ji+1,jj,jk) + rhd(ji+1,jj,jk-1) ) & |
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| 295 | & - ( rhd(ji ,jj,jk) + rhd(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
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[3] | 296 | |
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| 297 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
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[455] | 298 | & + zcoef1 * ( ( rhd(ji,jj+1,jk) + rhd(ji,jj+1,jk-1) ) & |
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| 299 | & - ( rhd(ji,jj, jk) + rhd(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
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[3] | 300 | ! add to the general momentum trend |
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| 301 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
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| 302 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
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[455] | 303 | END DO |
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[3] | 304 | END DO |
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| 305 | END DO |
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| 306 | |
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| 307 | ! partial steps correction at the last level (new gradient with intgrd.F) |
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| 308 | # if defined key_vectopt_loop |
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| 309 | jj = 1 |
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| 310 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
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| 311 | # else |
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| 312 | DO jj = 2, jpjm1 |
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| 313 | DO ji = 2, jpim1 |
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| 314 | # endif |
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| 315 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 |
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| 316 | ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 |
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| 317 | zcoef2 = zcoef0 * MIN( fse3w(ji,jj,iku), fse3w(ji+1,jj ,iku) ) |
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| 318 | zcoef3 = zcoef0 * MIN( fse3w(ji,jj,ikv), fse3w(ji ,jj+1,ikv) ) |
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| 319 | ! on i-direction |
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| 320 | IF ( iku > 2 ) THEN |
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[455] | 321 | ! subtract old value |
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[3] | 322 | ua(ji,jj,iku) = ua(ji,jj,iku) - zhpi(ji,jj,iku) |
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[455] | 323 | ! compute the new one |
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[3] | 324 | zhpi (ji,jj,iku) = zhpi(ji,jj,iku-1) & |
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| 325 | + zcoef2 * ( rhd(ji+1,jj,iku-1) - rhd(ji,jj,iku-1) + gru(ji,jj) ) / e1u(ji,jj) |
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| 326 | ! add the new one to the general momentum trend |
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| 327 | ua(ji,jj,iku) = ua(ji,jj,iku) + zhpi(ji,jj,iku) |
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| 328 | ENDIF |
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| 329 | ! on j-direction |
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| 330 | IF ( ikv > 2 ) THEN |
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[455] | 331 | ! subtract old value |
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[3] | 332 | va(ji,jj,ikv) = va(ji,jj,ikv) - zhpj(ji,jj,ikv) |
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[455] | 333 | ! compute the new one |
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[3] | 334 | zhpj (ji,jj,ikv) = zhpj(ji,jj,ikv-1) & |
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| 335 | + zcoef3 * ( rhd(ji,jj+1,ikv-1) - rhd(ji,jj,ikv-1) + grv(ji,jj) ) / e2v(ji,jj) |
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| 336 | ! add the new one to the general momentum trend |
---|
| 337 | va(ji,jj,ikv) = va(ji,jj,ikv) + zhpj(ji,jj,ikv) |
---|
| 338 | ENDIF |
---|
| 339 | # if ! defined key_vectopt_loop |
---|
| 340 | END DO |
---|
| 341 | # endif |
---|
| 342 | END DO |
---|
[503] | 343 | ! |
---|
[455] | 344 | END SUBROUTINE hpg_zps |
---|
[216] | 345 | |
---|
[3] | 346 | |
---|
[455] | 347 | SUBROUTINE hpg_sco( kt ) |
---|
[3] | 348 | !!--------------------------------------------------------------------- |
---|
[455] | 349 | !! *** ROUTINE hpg_sco *** |
---|
[3] | 350 | !! |
---|
[455] | 351 | !! ** Method : s-coordinate case. Jacobian scheme. |
---|
| 352 | !! The now hydrostatic pressure gradient at a given level, jk, |
---|
| 353 | !! is computed by taking the vertical integral of the in-situ |
---|
[3] | 354 | !! density gradient along the model level from the suface to that |
---|
[455] | 355 | !! level. s-coordinates (ln_sco): a corrective term is added |
---|
| 356 | !! to the horizontal pressure gradient : |
---|
| 357 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
---|
| 358 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
---|
[3] | 359 | !! add it to the general momentum trend (ua,va). |
---|
[455] | 360 | !! ua = ua - 1/e1u * zhpi |
---|
| 361 | !! va = va - 1/e2v * zhpj |
---|
[3] | 362 | !! |
---|
| 363 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
[503] | 364 | !!---------------------------------------------------------------------- |
---|
| 365 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 366 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
[3] | 367 | !! |
---|
[503] | 368 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 369 | !! |
---|
[592] | 370 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 371 | REAL(wp) :: zcoef0, zuap, zvap, znad ! temporary scalars |
---|
[3] | 372 | !!---------------------------------------------------------------------- |
---|
| 373 | |
---|
| 374 | IF( kt == nit000 ) THEN |
---|
| 375 | IF(lwp) WRITE(numout,*) |
---|
[455] | 376 | IF(lwp) WRITE(numout,*) 'dyn:hpg_sco : hydrostatic pressure gradient trend' |
---|
| 377 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, OPA original scheme used' |
---|
[3] | 378 | ENDIF |
---|
| 379 | |
---|
[503] | 380 | ! Local constant initialization |
---|
[455] | 381 | zcoef0 = - grav * 0.5 |
---|
[592] | 382 | ! To use density and not density anomaly |
---|
| 383 | IF ( lk_vvl ) THEN ; znad = 1. ! Variable volume |
---|
| 384 | ELSE ; znad = 0.e0 ! Fixed volume |
---|
| 385 | ENDIF |
---|
[455] | 386 | |
---|
[503] | 387 | ! Surface value |
---|
[455] | 388 | DO jj = 2, jpjm1 |
---|
| 389 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 390 | ! hydrostatic pressure gradient along s-surfaces |
---|
[592] | 391 | zhpi(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( fse3w(ji+1,jj ,1) * ( znad + rhd(ji+1,jj ,1) ) & |
---|
| 392 | & - fse3w(ji ,jj ,1) * ( znad + rhd(ji ,jj ,1) ) ) |
---|
| 393 | zhpj(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( fse3w(ji ,jj+1,1) * ( znad + rhd(ji ,jj+1,1) ) & |
---|
| 394 | & - fse3w(ji ,jj ,1) * ( znad + rhd(ji ,jj ,1) ) ) |
---|
[455] | 395 | ! s-coordinate pressure gradient correction |
---|
[592] | 396 | zuap = -zcoef0 * ( rhd (ji+1,jj,1) + rhd (ji,jj,1) + 2*znad ) & |
---|
[455] | 397 | & * ( fsde3w(ji+1,jj,1) - fsde3w(ji,jj,1) ) / e1u(ji,jj) |
---|
[592] | 398 | zvap = -zcoef0 * ( rhd (ji,jj+1,1) + rhd (ji,jj,1) + 2*znad ) & |
---|
[455] | 399 | & * ( fsde3w(ji,jj+1,1) - fsde3w(ji,jj,1) ) / e2v(ji,jj) |
---|
| 400 | ! add to the general momentum trend |
---|
| 401 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) + zuap |
---|
| 402 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) + zvap |
---|
| 403 | END DO |
---|
| 404 | END DO |
---|
| 405 | |
---|
[503] | 406 | ! interior value (2=<jk=<jpkm1) |
---|
[455] | 407 | DO jk = 2, jpkm1 |
---|
| 408 | DO jj = 2, jpjm1 |
---|
| 409 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 410 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 411 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) + zcoef0 / e1u(ji,jj) & |
---|
[592] | 412 | & * ( fse3w(ji+1,jj,jk) * ( rhd(ji+1,jj,jk) + rhd(ji+1,jj,jk-1) + 2*znad ) & |
---|
| 413 | & - fse3w(ji ,jj,jk) * ( rhd(ji ,jj,jk) + rhd(ji ,jj,jk-1) + 2*znad ) ) |
---|
[455] | 414 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) + zcoef0 / e2v(ji,jj) & |
---|
[592] | 415 | & * ( fse3w(ji,jj+1,jk) * ( rhd(ji,jj+1,jk) + rhd(ji,jj+1,jk-1) + 2*znad ) & |
---|
| 416 | & - fse3w(ji,jj ,jk) * ( rhd(ji,jj, jk) + rhd(ji,jj ,jk-1) + 2*znad ) ) |
---|
[455] | 417 | ! s-coordinate pressure gradient correction |
---|
[592] | 418 | zuap = -zcoef0 * ( rhd (ji+1,jj ,jk) + rhd (ji,jj,jk) + 2*znad ) & |
---|
[455] | 419 | & * ( fsde3w(ji+1,jj ,jk) - fsde3w(ji,jj,jk) ) / e1u(ji,jj) |
---|
[592] | 420 | zvap = -zcoef0 * ( rhd (ji ,jj+1,jk) + rhd (ji,jj,jk) + 2*znad ) & |
---|
[455] | 421 | & * ( fsde3w(ji ,jj+1,jk) - fsde3w(ji,jj,jk) ) / e2v(ji,jj) |
---|
| 422 | ! add to the general momentum trend |
---|
| 423 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) + zuap |
---|
| 424 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) + zvap |
---|
| 425 | END DO |
---|
| 426 | END DO |
---|
| 427 | END DO |
---|
[503] | 428 | ! |
---|
[455] | 429 | END SUBROUTINE hpg_sco |
---|
| 430 | |
---|
| 431 | |
---|
| 432 | SUBROUTINE hpg_hel( kt ) |
---|
| 433 | !!--------------------------------------------------------------------- |
---|
| 434 | !! *** ROUTINE hpg_hel *** |
---|
| 435 | !! |
---|
| 436 | !! ** Method : s-coordinate case. |
---|
| 437 | !! The now hydrostatic pressure gradient at a given level |
---|
| 438 | !! jk is computed by taking the vertical integral of the in-situ |
---|
| 439 | !! density gradient along the model level from the suface to that |
---|
| 440 | !! level. s-coordinates (ln_sco): a corrective term is added |
---|
| 441 | !! to the horizontal pressure gradient : |
---|
| 442 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
---|
| 443 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
---|
| 444 | !! add it to the general momentum trend (ua,va). |
---|
| 445 | !! ua = ua - 1/e1u * zhpi |
---|
| 446 | !! va = va - 1/e2v * zhpj |
---|
| 447 | !! |
---|
| 448 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
| 449 | !! - Save the trend (l_trddyn=T) |
---|
[503] | 450 | !!---------------------------------------------------------------------- |
---|
| 451 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 452 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
[455] | 453 | !! |
---|
[503] | 454 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 455 | !! |
---|
| 456 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 457 | REAL(wp) :: zcoef0, zuap, zvap ! temporary scalars |
---|
[455] | 458 | !!---------------------------------------------------------------------- |
---|
| 459 | |
---|
| 460 | IF( kt == nit000 ) THEN |
---|
| 461 | IF(lwp) WRITE(numout,*) |
---|
| 462 | IF(lwp) WRITE(numout,*) 'dyn:hpg_hel : hydrostatic pressure gradient trend' |
---|
| 463 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, helsinki modified scheme' |
---|
[216] | 464 | ENDIF |
---|
| 465 | |
---|
[503] | 466 | ! Local constant initialization |
---|
[32] | 467 | zcoef0 = - grav * 0.5 |
---|
[455] | 468 | |
---|
[503] | 469 | ! Surface value |
---|
[3] | 470 | DO jj = 2, jpjm1 |
---|
| 471 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[455] | 472 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 473 | zhpi(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj ,1) * rhd(ji+1,jj ,1) & |
---|
| 474 | & - fse3t(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 475 | zhpj(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( fse3t(ji ,jj+1,1) * rhd(ji ,jj+1,1) & |
---|
| 476 | & - fse3t(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 477 | ! s-coordinate pressure gradient correction |
---|
| 478 | zuap = -zcoef0 * ( rhd (ji+1,jj,1) + rhd (ji,jj,1) ) & |
---|
| 479 | & * ( fsdept(ji+1,jj,1) - fsdept(ji,jj,1) ) / e1u(ji,jj) |
---|
| 480 | zvap = -zcoef0 * ( rhd (ji,jj+1,1) + rhd (ji,jj,1) ) & |
---|
| 481 | & * ( fsdept(ji,jj+1,1) - fsdept(ji,jj,1) ) / e2v(ji,jj) |
---|
[3] | 482 | ! add to the general momentum trend |
---|
[455] | 483 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) + zuap |
---|
| 484 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) + zvap |
---|
[3] | 485 | END DO |
---|
| 486 | END DO |
---|
[503] | 487 | ! |
---|
| 488 | ! interior value (2=<jk=<jpkm1) |
---|
[3] | 489 | DO jk = 2, jpkm1 |
---|
| 490 | DO jj = 2, jpjm1 |
---|
| 491 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[455] | 492 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 493 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
---|
| 494 | & + zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj,jk ) * rhd(ji+1,jj,jk) & |
---|
| 495 | & -fse3t(ji ,jj,jk ) * rhd(ji ,jj,jk) ) & |
---|
| 496 | & + zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj,jk-1) * rhd(ji+1,jj,jk-1) & |
---|
| 497 | & -fse3t(ji ,jj,jk-1) * rhd(ji ,jj,jk-1) ) |
---|
| 498 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
---|
| 499 | & + zcoef0 / e2v(ji,jj) * ( fse3t(ji,jj+1,jk ) * rhd(ji,jj+1,jk) & |
---|
| 500 | & -fse3t(ji,jj ,jk ) * rhd(ji,jj, jk) ) & |
---|
| 501 | & + zcoef0 / e2v(ji,jj) * ( fse3t(ji,jj+1,jk-1) * rhd(ji,jj+1,jk-1) & |
---|
| 502 | & -fse3t(ji,jj ,jk-1) * rhd(ji,jj, jk-1) ) |
---|
| 503 | ! s-coordinate pressure gradient correction |
---|
| 504 | zuap = - zcoef0 * ( rhd (ji+1,jj,jk) + rhd (ji,jj,jk) ) & |
---|
| 505 | & * ( fsdept(ji+1,jj,jk) - fsdept(ji,jj,jk) ) / e1u(ji,jj) |
---|
| 506 | zvap = - zcoef0 * ( rhd (ji,jj+1,jk) + rhd (ji,jj,jk) ) & |
---|
| 507 | & * ( fsdept(ji,jj+1,jk) - fsdept(ji,jj,jk) ) / e2v(ji,jj) |
---|
| 508 | ! add to the general momentum trend |
---|
| 509 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) + zuap |
---|
| 510 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) + zvap |
---|
| 511 | END DO |
---|
| 512 | END DO |
---|
| 513 | END DO |
---|
[503] | 514 | ! |
---|
[455] | 515 | END SUBROUTINE hpg_hel |
---|
| 516 | |
---|
| 517 | |
---|
| 518 | SUBROUTINE hpg_wdj( kt ) |
---|
| 519 | !!--------------------------------------------------------------------- |
---|
| 520 | !! *** ROUTINE hpg_wdj *** |
---|
| 521 | !! |
---|
| 522 | !! ** Method : Weighted Density Jacobian (wdj) scheme (song 1998) |
---|
[1601] | 523 | !! The weighting coefficients from the namelist parameter rn_gamma |
---|
| 524 | !! (alpha=0.5-rn_gamma ; beta=1-alpha=0.5+rn_gamma |
---|
[455] | 525 | !! |
---|
| 526 | !! Reference : Song, Mon. Wea. Rev., 126, 3213-3230, 1998. |
---|
[503] | 527 | !!---------------------------------------------------------------------- |
---|
| 528 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 529 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
[455] | 530 | !! |
---|
[503] | 531 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 532 | !! |
---|
| 533 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 534 | REAL(wp) :: zcoef0, zuap, zvap ! temporary scalars |
---|
| 535 | REAL(wp) :: zalph , zbeta ! " " |
---|
[455] | 536 | !!---------------------------------------------------------------------- |
---|
| 537 | |
---|
| 538 | IF( kt == nit000 ) THEN |
---|
| 539 | IF(lwp) WRITE(numout,*) |
---|
| 540 | IF(lwp) WRITE(numout,*) 'dyn:hpg_wdj : hydrostatic pressure gradient trend' |
---|
| 541 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ Weighted Density Jacobian' |
---|
| 542 | ENDIF |
---|
| 543 | |
---|
| 544 | ! Local constant initialization |
---|
| 545 | zcoef0 = - grav * 0.5 |
---|
[1601] | 546 | zalph = 0.5 - rn_gamma ! weighting coefficients (alpha=0.5-rn_gamma |
---|
| 547 | zbeta = 0.5 + rn_gamma ! (beta =1-alpha=0.5+rn_gamma |
---|
[455] | 548 | |
---|
| 549 | ! Surface value (no ponderation) |
---|
| 550 | DO jj = 2, jpjm1 |
---|
| 551 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 552 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 553 | zhpi(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( fse3w(ji+1,jj ,1) * rhd(ji+1,jj ,1) & |
---|
| 554 | & - fse3w(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 555 | zhpj(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( fse3w(ji ,jj+1,1) * rhd(ji ,jj+1,1) & |
---|
| 556 | & - fse3w(ji ,jj ,1) * rhd(ji, jj ,1) ) |
---|
| 557 | ! s-coordinate pressure gradient correction |
---|
| 558 | zuap = -zcoef0 * ( rhd (ji+1,jj,1) + rhd (ji,jj,1) ) & |
---|
| 559 | & * ( fsde3w(ji+1,jj,1) - fsde3w(ji,jj,1) ) / e1u(ji,jj) |
---|
| 560 | zvap = -zcoef0 * ( rhd (ji,jj+1,1) + rhd (ji,jj,1) ) & |
---|
| 561 | & * ( fsde3w(ji,jj+1,1) - fsde3w(ji,jj,1) ) / e2v(ji,jj) |
---|
| 562 | ! add to the general momentum trend |
---|
| 563 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) + zuap |
---|
| 564 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) + zvap |
---|
| 565 | END DO |
---|
| 566 | END DO |
---|
| 567 | |
---|
| 568 | ! Interior value (2=<jk=<jpkm1) (weighted with zalph & zbeta) |
---|
| 569 | DO jk = 2, jpkm1 |
---|
| 570 | DO jj = 2, jpjm1 |
---|
| 571 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 572 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) + zcoef0 / e1u(ji,jj) & |
---|
| 573 | & * ( ( fsde3w(ji+1,jj,jk ) + fsde3w(ji,jj,jk ) & |
---|
| 574 | & - fsde3w(ji+1,jj,jk-1) - fsde3w(ji,jj,jk-1) ) & |
---|
| 575 | & * ( zalph * ( rhd (ji+1,jj,jk-1) - rhd (ji,jj,jk-1) ) & |
---|
| 576 | & + zbeta * ( rhd (ji+1,jj,jk ) - rhd (ji,jj,jk ) ) ) & |
---|
| 577 | & - ( rhd (ji+1,jj,jk ) + rhd (ji,jj,jk ) & |
---|
| 578 | & - rhd (ji+1,jj,jk-1) - rhd (ji,jj,jk-1) ) & |
---|
| 579 | & * ( zalph * ( fsde3w(ji+1,jj,jk-1) - fsde3w(ji,jj,jk-1) ) & |
---|
| 580 | & + zbeta * ( fsde3w(ji+1,jj,jk ) - fsde3w(ji,jj,jk ) ) ) ) |
---|
| 581 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) + zcoef0 / e2v(ji,jj) & |
---|
| 582 | & * ( ( fsde3w(ji,jj+1,jk ) + fsde3w(ji,jj,jk ) & |
---|
| 583 | & - fsde3w(ji,jj+1,jk-1) - fsde3w(ji,jj,jk-1) ) & |
---|
| 584 | & * ( zalph * ( rhd (ji,jj+1,jk-1) - rhd (ji,jj,jk-1) ) & |
---|
| 585 | & + zbeta * ( rhd (ji,jj+1,jk ) - rhd (ji,jj,jk ) ) ) & |
---|
| 586 | & - ( rhd (ji,jj+1,jk ) + rhd (ji,jj,jk ) & |
---|
| 587 | & - rhd (ji,jj+1,jk-1) - rhd (ji,jj,jk-1) ) & |
---|
| 588 | & * ( zalph * ( fsde3w(ji,jj+1,jk-1) - fsde3w(ji,jj,jk-1) ) & |
---|
| 589 | & + zbeta * ( fsde3w(ji,jj+1,jk ) - fsde3w(ji,jj,jk ) ) ) ) |
---|
[3] | 590 | ! add to the general momentum trend |
---|
| 591 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
---|
| 592 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
---|
[455] | 593 | END DO |
---|
[3] | 594 | END DO |
---|
| 595 | END DO |
---|
[503] | 596 | ! |
---|
[455] | 597 | END SUBROUTINE hpg_wdj |
---|
[216] | 598 | |
---|
[455] | 599 | |
---|
| 600 | SUBROUTINE hpg_djc( kt ) |
---|
| 601 | !!--------------------------------------------------------------------- |
---|
| 602 | !! *** ROUTINE hpg_djc *** |
---|
| 603 | !! |
---|
| 604 | !! ** Method : Density Jacobian with Cubic polynomial scheme |
---|
| 605 | !! |
---|
[503] | 606 | !! Reference: Shchepetkin and McWilliams, J. Geophys. Res., 108(C3), 3090, 2003 |
---|
[455] | 607 | !!---------------------------------------------------------------------- |
---|
[503] | 608 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 609 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
| 610 | !! |
---|
| 611 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 612 | !! |
---|
| 613 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 614 | REAL(wp) :: zcoef0, zep, cffw ! temporary scalars |
---|
| 615 | REAL(wp) :: z1_10, cffu, cffx ! " " |
---|
| 616 | REAL(wp) :: z1_12, cffv, cffy ! " " |
---|
| 617 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: drhox, dzx, drhou, dzu, rho_i ! 3D workspace |
---|
| 618 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: drhoy, dzy, drhov, dzv, rho_j ! " " |
---|
| 619 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: drhoz, dzz, drhow, dzw, rho_k ! " " |
---|
[455] | 620 | !!---------------------------------------------------------------------- |
---|
| 621 | |
---|
| 622 | IF( kt == nit000 ) THEN |
---|
| 623 | IF(lwp) WRITE(numout,*) |
---|
| 624 | IF(lwp) WRITE(numout,*) 'dyn:hpg_djc : hydrostatic pressure gradient trend' |
---|
| 625 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, density Jacobian with cubic polynomial scheme' |
---|
[216] | 626 | ENDIF |
---|
| 627 | |
---|
[455] | 628 | |
---|
[503] | 629 | ! Local constant initialization |
---|
[455] | 630 | zcoef0 = - grav * 0.5 |
---|
| 631 | z1_10 = 1.0 / 10.0 |
---|
| 632 | z1_12 = 1.0 / 12.0 |
---|
| 633 | |
---|
| 634 | !---------------------------------------------------------------------------------------- |
---|
| 635 | ! compute and store in provisional arrays elementary vertical and horizontal differences |
---|
| 636 | !---------------------------------------------------------------------------------------- |
---|
| 637 | |
---|
| 638 | !!bug gm Not a true bug, but... dzz=e3w for dzx, dzy verify what it is really |
---|
| 639 | |
---|
| 640 | DO jk = 2, jpkm1 |
---|
| 641 | DO jj = 2, jpjm1 |
---|
| 642 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 643 | drhoz(ji,jj,jk) = rhd (ji ,jj ,jk) - rhd (ji,jj,jk-1) |
---|
| 644 | dzz (ji,jj,jk) = fsde3w(ji ,jj ,jk) - fsde3w(ji,jj,jk-1) |
---|
| 645 | drhox(ji,jj,jk) = rhd (ji+1,jj ,jk) - rhd (ji,jj,jk ) |
---|
| 646 | dzx (ji,jj,jk) = fsde3w(ji+1,jj ,jk) - fsde3w(ji,jj,jk ) |
---|
| 647 | drhoy(ji,jj,jk) = rhd (ji ,jj+1,jk) - rhd (ji,jj,jk ) |
---|
| 648 | dzy (ji,jj,jk) = fsde3w(ji ,jj+1,jk) - fsde3w(ji,jj,jk ) |
---|
| 649 | END DO |
---|
| 650 | END DO |
---|
| 651 | END DO |
---|
| 652 | |
---|
| 653 | !------------------------------------------------------------------------- |
---|
| 654 | ! compute harmonic averages using eq. 5.18 |
---|
| 655 | !------------------------------------------------------------------------- |
---|
| 656 | zep = 1.e-15 |
---|
| 657 | |
---|
[503] | 658 | !!bug gm drhoz not defined at level 1 and used (jk-1 with jk=2) |
---|
| 659 | !!bug gm idem for drhox, drhoy et ji=jpi and jj=jpj |
---|
[455] | 660 | |
---|
| 661 | DO jk = 2, jpkm1 |
---|
| 662 | DO jj = 2, jpjm1 |
---|
| 663 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 664 | cffw = 2.0 * drhoz(ji ,jj ,jk) * drhoz(ji,jj,jk-1) |
---|
| 665 | |
---|
| 666 | cffu = 2.0 * drhox(ji+1,jj ,jk) * drhox(ji,jj,jk ) |
---|
| 667 | cffx = 2.0 * dzx (ji+1,jj ,jk) * dzx (ji,jj,jk ) |
---|
| 668 | |
---|
| 669 | cffv = 2.0 * drhoy(ji ,jj+1,jk) * drhoy(ji,jj,jk ) |
---|
| 670 | cffy = 2.0 * dzy (ji ,jj+1,jk) * dzy (ji,jj,jk ) |
---|
| 671 | |
---|
| 672 | IF( cffw > zep) THEN |
---|
| 673 | drhow(ji,jj,jk) = 2.0 * drhoz(ji,jj,jk) * drhoz(ji,jj,jk-1) & |
---|
| 674 | & / ( drhoz(ji,jj,jk) + drhoz(ji,jj,jk-1) ) |
---|
| 675 | ELSE |
---|
| 676 | drhow(ji,jj,jk) = 0.e0 |
---|
| 677 | ENDIF |
---|
| 678 | |
---|
| 679 | dzw(ji,jj,jk) = 2.0 * dzz(ji,jj,jk) * dzz(ji,jj,jk-1) & |
---|
| 680 | & / ( dzz(ji,jj,jk) + dzz(ji,jj,jk-1) ) |
---|
| 681 | |
---|
| 682 | IF( cffu > zep ) THEN |
---|
| 683 | drhou(ji,jj,jk) = 2.0 * drhox(ji+1,jj,jk) * drhox(ji,jj,jk) & |
---|
| 684 | & / ( drhox(ji+1,jj,jk) + drhox(ji,jj,jk) ) |
---|
| 685 | ELSE |
---|
| 686 | drhou(ji,jj,jk ) = 0.e0 |
---|
| 687 | ENDIF |
---|
| 688 | |
---|
| 689 | IF( cffx > zep ) THEN |
---|
| 690 | dzu(ji,jj,jk) = 2.0*dzx(ji+1,jj,jk)*dzx(ji,jj,jk) & |
---|
| 691 | & /(dzx(ji+1,jj,jk)+dzx(ji,jj,jk)) |
---|
| 692 | ELSE |
---|
| 693 | dzu(ji,jj,jk) = 0.e0 |
---|
| 694 | ENDIF |
---|
| 695 | |
---|
| 696 | IF( cffv > zep ) THEN |
---|
| 697 | drhov(ji,jj,jk) = 2.0 * drhoy(ji,jj+1,jk) * drhoy(ji,jj,jk) & |
---|
| 698 | & / ( drhoy(ji,jj+1,jk) + drhoy(ji,jj,jk) ) |
---|
| 699 | ELSE |
---|
| 700 | drhov(ji,jj,jk) = 0.e0 |
---|
| 701 | ENDIF |
---|
| 702 | |
---|
| 703 | IF( cffy > zep ) THEN |
---|
| 704 | dzv(ji,jj,jk) = 2.0 * dzy(ji,jj+1,jk) * dzy(ji,jj,jk) & |
---|
| 705 | & / ( dzy(ji,jj+1,jk) + dzy(ji,jj,jk) ) |
---|
| 706 | ELSE |
---|
| 707 | dzv(ji,jj,jk) = 0.e0 |
---|
| 708 | ENDIF |
---|
| 709 | |
---|
| 710 | END DO |
---|
| 711 | END DO |
---|
| 712 | END DO |
---|
| 713 | |
---|
| 714 | !---------------------------------------------------------------------------------- |
---|
| 715 | ! apply boundary conditions at top and bottom using 5.36-5.37 |
---|
| 716 | !---------------------------------------------------------------------------------- |
---|
| 717 | drhow(:,:, 1 ) = 1.5 * ( drhoz(:,:, 2 ) - drhoz(:,:, 1 ) ) - 0.5 * drhow(:,:, 2 ) |
---|
| 718 | drhou(:,:, 1 ) = 1.5 * ( drhox(:,:, 2 ) - drhox(:,:, 1 ) ) - 0.5 * drhou(:,:, 2 ) |
---|
| 719 | drhov(:,:, 1 ) = 1.5 * ( drhoy(:,:, 2 ) - drhoy(:,:, 1 ) ) - 0.5 * drhov(:,:, 2 ) |
---|
| 720 | |
---|
| 721 | drhow(:,:,jpk) = 1.5 * ( drhoz(:,:,jpk) - drhoz(:,:,jpkm1) ) - 0.5 * drhow(:,:,jpkm1) |
---|
| 722 | drhou(:,:,jpk) = 1.5 * ( drhox(:,:,jpk) - drhox(:,:,jpkm1) ) - 0.5 * drhou(:,:,jpkm1) |
---|
| 723 | drhov(:,:,jpk) = 1.5 * ( drhoy(:,:,jpk) - drhoy(:,:,jpkm1) ) - 0.5 * drhov(:,:,jpkm1) |
---|
| 724 | |
---|
| 725 | |
---|
| 726 | !-------------------------------------------------------------- |
---|
| 727 | ! Upper half of top-most grid box, compute and store |
---|
| 728 | !------------------------------------------------------------- |
---|
| 729 | |
---|
| 730 | !!bug gm : e3w-de3w = 0.5*e3w .... and de3w(2)-de3w(1)=e3w(2) .... to be verified |
---|
| 731 | ! true if de3w is really defined as the sum of the e3w scale factors as, it seems to me, it should be |
---|
| 732 | |
---|
| 733 | DO jj = 2, jpjm1 |
---|
| 734 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 735 | rho_k(ji,jj,1) = -grav * ( fse3w(ji,jj,1) - fsde3w(ji,jj,1) ) & |
---|
| 736 | & * ( rhd(ji,jj,1) & |
---|
| 737 | & + 0.5 * ( rhd(ji,jj,2) - rhd(ji,jj,1) ) & |
---|
| 738 | & * ( fse3w (ji,jj,1) - fsde3w(ji,jj,1) ) & |
---|
| 739 | & / ( fsde3w(ji,jj,2) - fsde3w(ji,jj,1) ) ) |
---|
| 740 | END DO |
---|
| 741 | END DO |
---|
| 742 | |
---|
| 743 | !!bug gm : here also, simplification is possible |
---|
| 744 | !!bug gm : optimisation: 1/10 and 1/12 the division should be done before the loop |
---|
| 745 | |
---|
| 746 | DO jk = 2, jpkm1 |
---|
| 747 | DO jj = 2, jpjm1 |
---|
| 748 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 749 | |
---|
| 750 | rho_k(ji,jj,jk) = zcoef0 * ( rhd (ji,jj,jk) + rhd (ji,jj,jk-1) ) & |
---|
| 751 | & * ( fsde3w(ji,jj,jk) - fsde3w(ji,jj,jk-1) ) & |
---|
| 752 | & - grav * z1_10 * ( & |
---|
| 753 | & ( drhow (ji,jj,jk) - drhow (ji,jj,jk-1) ) & |
---|
| 754 | & * ( fsde3w(ji,jj,jk) - fsde3w(ji,jj,jk-1) - z1_12 * ( dzw (ji,jj,jk) + dzw (ji,jj,jk-1) ) ) & |
---|
| 755 | & - ( dzw (ji,jj,jk) - dzw (ji,jj,jk-1) ) & |
---|
| 756 | & * ( rhd (ji,jj,jk) - rhd (ji,jj,jk-1) - z1_12 * ( drhow(ji,jj,jk) + drhow(ji,jj,jk-1) ) ) & |
---|
| 757 | & ) |
---|
| 758 | |
---|
| 759 | rho_i(ji,jj,jk) = zcoef0 * ( rhd (ji+1,jj,jk) + rhd (ji,jj,jk) ) & |
---|
| 760 | & * ( fsde3w(ji+1,jj,jk) - fsde3w(ji,jj,jk) ) & |
---|
| 761 | & - grav* z1_10 * ( & |
---|
| 762 | & ( drhou (ji+1,jj,jk) - drhou (ji,jj,jk) ) & |
---|
| 763 | & * ( fsde3w(ji+1,jj,jk) - fsde3w(ji,jj,jk) - z1_12 * ( dzu (ji+1,jj,jk) + dzu (ji,jj,jk) ) ) & |
---|
| 764 | & - ( dzu (ji+1,jj,jk) - dzu (ji,jj,jk) ) & |
---|
| 765 | & * ( rhd (ji+1,jj,jk) - rhd (ji,jj,jk) - z1_12 * ( drhou(ji+1,jj,jk) + drhou(ji,jj,jk) ) ) & |
---|
| 766 | & ) |
---|
| 767 | |
---|
| 768 | rho_j(ji,jj,jk) = zcoef0 * ( rhd (ji,jj+1,jk) + rhd (ji,jj,jk) ) & |
---|
| 769 | & * ( fsde3w(ji,jj+1,jk) - fsde3w(ji,jj,jk) ) & |
---|
| 770 | & - grav* z1_10 * ( & |
---|
| 771 | & ( drhov (ji,jj+1,jk) - drhov (ji,jj,jk) ) & |
---|
| 772 | & * ( fsde3w(ji,jj+1,jk) - fsde3w(ji,jj,jk) - z1_12 * ( dzv (ji,jj+1,jk) + dzv (ji,jj,jk) ) ) & |
---|
| 773 | & - ( dzv (ji,jj+1,jk) - dzv (ji,jj,jk) ) & |
---|
| 774 | & * ( rhd (ji,jj+1,jk) - rhd (ji,jj,jk) - z1_12 * ( drhov(ji,jj+1,jk) + drhov(ji,jj,jk) ) ) & |
---|
| 775 | & ) |
---|
| 776 | |
---|
| 777 | END DO |
---|
| 778 | END DO |
---|
| 779 | END DO |
---|
| 780 | CALL lbc_lnk(rho_k,'W',1.) |
---|
| 781 | CALL lbc_lnk(rho_i,'U',1.) |
---|
| 782 | CALL lbc_lnk(rho_j,'V',1.) |
---|
| 783 | |
---|
| 784 | |
---|
| 785 | ! --------------- |
---|
| 786 | ! Surface value |
---|
| 787 | ! --------------- |
---|
| 788 | DO jj = 2, jpjm1 |
---|
| 789 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 790 | zhpi(ji,jj,1) = ( rho_k(ji+1,jj ,1) - rho_k(ji,jj,1) - rho_i(ji,jj,1) ) / e1u(ji,jj) |
---|
| 791 | zhpj(ji,jj,1) = ( rho_k(ji ,jj+1,1) - rho_k(ji,jj,1) - rho_j(ji,jj,1) ) / e2v(ji,jj) |
---|
| 792 | ! add to the general momentum trend |
---|
| 793 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
---|
| 794 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
---|
| 795 | END DO |
---|
| 796 | END DO |
---|
| 797 | |
---|
| 798 | ! ---------------- |
---|
| 799 | ! interior value (2=<jk=<jpkm1) |
---|
| 800 | ! ---------------- |
---|
| 801 | DO jk = 2, jpkm1 |
---|
| 802 | DO jj = 2, jpjm1 |
---|
| 803 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 804 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 805 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
---|
| 806 | & + ( ( rho_k(ji+1,jj,jk) - rho_k(ji,jj,jk ) ) & |
---|
| 807 | & - ( rho_i(ji ,jj,jk) - rho_i(ji,jj,jk-1) ) ) / e1u(ji,jj) |
---|
| 808 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
---|
| 809 | & + ( ( rho_k(ji,jj+1,jk) - rho_k(ji,jj,jk ) ) & |
---|
| 810 | & -( rho_j(ji,jj ,jk) - rho_j(ji,jj,jk-1) ) ) / e2v(ji,jj) |
---|
| 811 | ! add to the general momentum trend |
---|
| 812 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
---|
| 813 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
---|
| 814 | END DO |
---|
| 815 | END DO |
---|
| 816 | END DO |
---|
[503] | 817 | ! |
---|
[455] | 818 | END SUBROUTINE hpg_djc |
---|
| 819 | |
---|
| 820 | |
---|
| 821 | SUBROUTINE hpg_rot( kt ) |
---|
| 822 | !!--------------------------------------------------------------------- |
---|
| 823 | !! *** ROUTINE hpg_rot *** |
---|
| 824 | !! |
---|
| 825 | !! ** Method : rotated axes scheme (Thiem and Berntsen 2005) |
---|
| 826 | !! |
---|
| 827 | !! Reference: Thiem & Berntsen, Ocean Modelling, In press, 2005. |
---|
| 828 | !!---------------------------------------------------------------------- |
---|
[503] | 829 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 830 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
| 831 | !! |
---|
| 832 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 833 | !! |
---|
| 834 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 835 | REAL(wp) :: zforg, zcoef0, zuap, zmskd1, zmskd1m ! temporary scalar |
---|
| 836 | REAL(wp) :: zfrot , zvap, zmskd2, zmskd2m ! " " |
---|
| 837 | REAL(wp), DIMENSION(jpi,jpj) :: zdistr, zsina, zcosa ! 2D workspace |
---|
| 838 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpiorg, zhpirot, zhpitra, zhpine ! 3D workspace |
---|
| 839 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpjorg, zhpjrot, zhpjtra, zhpjne ! " " |
---|
[455] | 840 | !!---------------------------------------------------------------------- |
---|
| 841 | |
---|
| 842 | IF( kt == nit000 ) THEN |
---|
| 843 | IF(lwp) WRITE(numout,*) |
---|
| 844 | IF(lwp) WRITE(numout,*) 'dyn:hpg_rot : hydrostatic pressure gradient trend' |
---|
| 845 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, rotated axes scheme used' |
---|
[3] | 846 | ENDIF |
---|
| 847 | |
---|
[455] | 848 | ! ------------------------------- |
---|
| 849 | ! Local constant initialization |
---|
| 850 | ! ------------------------------- |
---|
| 851 | zcoef0 = - grav * 0.5 |
---|
| 852 | zforg = 0.95e0 |
---|
| 853 | zfrot = 1.e0 - zforg |
---|
[3] | 854 | |
---|
[455] | 855 | ! inverse of the distance between 2 diagonal T-points (defined at F-point) (here zcoef0/distance) |
---|
| 856 | zdistr(:,:) = zcoef0 / SQRT( e1f(:,:)*e1f(:,:) + e2f(:,:)*e1f(:,:) ) |
---|
[3] | 857 | |
---|
[455] | 858 | ! sinus and cosinus of diagonal angle at F-point |
---|
| 859 | zsina(:,:) = ATAN2( e2f(:,:), e1f(:,:) ) |
---|
| 860 | zcosa(:,:) = COS( zsina(:,:) ) |
---|
| 861 | zsina(:,:) = SIN( zsina(:,:) ) |
---|
| 862 | |
---|
| 863 | ! --------------- |
---|
| 864 | ! Surface value |
---|
| 865 | ! --------------- |
---|
| 866 | ! compute and add to the general trend the pressure gradients along the axes |
---|
| 867 | DO jj = 2, jpjm1 |
---|
| 868 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 869 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 870 | zhpiorg(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj,1) * rhd(ji+1,jj,1) & |
---|
| 871 | & - fse3t(ji ,jj,1) * rhd(ji ,jj,1) ) |
---|
| 872 | zhpjorg(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( fse3t(ji,jj+1,1) * rhd(ji,jj+1,1) & |
---|
| 873 | & - fse3t(ji,jj ,1) * rhd(ji,jj ,1) ) |
---|
| 874 | ! s-coordinate pressure gradient correction |
---|
| 875 | zuap = -zcoef0 * ( rhd (ji+1,jj ,1) + rhd (ji,jj,1) ) & |
---|
| 876 | & * ( fsdept(ji+1,jj ,1) - fsdept(ji,jj,1) ) / e1u(ji,jj) |
---|
| 877 | zvap = -zcoef0 * ( rhd (ji ,jj+1,1) + rhd (ji,jj,1) ) & |
---|
| 878 | & * ( fsdept(ji ,jj+1,1) - fsdept(ji,jj,1) ) / e2v(ji,jj) |
---|
| 879 | ! add to the general momentum trend |
---|
| 880 | ua(ji,jj,1) = ua(ji,jj,1) + zforg * ( zhpiorg(ji,jj,1) + zuap ) |
---|
| 881 | va(ji,jj,1) = va(ji,jj,1) + zforg * ( zhpjorg(ji,jj,1) + zvap ) |
---|
| 882 | END DO |
---|
| 883 | END DO |
---|
| 884 | |
---|
| 885 | ! compute the pressure gradients in the diagonal directions |
---|
| 886 | DO jj = 1, jpjm1 |
---|
| 887 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 888 | zmskd1 = tmask(ji+1,jj+1,1) * tmask(ji ,jj,1) ! mask in the 1st diagnonal |
---|
| 889 | zmskd2 = tmask(ji ,jj+1,1) * tmask(ji+1,jj,1) ! mask in the 2nd diagnonal |
---|
| 890 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 891 | zhpitra(ji,jj,1) = zdistr(ji,jj) * zmskd1 * ( fse3t(ji+1,jj+1,1) * rhd(ji+1,jj+1,1) & |
---|
| 892 | & - fse3t(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 893 | zhpjtra(ji,jj,1) = zdistr(ji,jj) * zmskd2 * ( fse3t(ji ,jj+1,1) * rhd(ji ,jj+1,1) & |
---|
| 894 | & - fse3t(ji+1,jj ,1) * rhd(ji+1,jj ,1) ) |
---|
| 895 | ! s-coordinate pressure gradient correction |
---|
| 896 | zuap = -zdistr(ji,jj) * zmskd1 * ( rhd (ji+1,jj+1,1) + rhd (ji ,jj,1) ) & |
---|
| 897 | & * ( fsdept(ji+1,jj+1,1) - fsdept(ji ,jj,1) ) |
---|
| 898 | zvap = -zdistr(ji,jj) * zmskd2 * ( rhd (ji ,jj+1,1) + rhd (ji+1,jj,1) ) & |
---|
| 899 | & * ( fsdept(ji ,jj+1,1) - fsdept(ji+1,jj,1) ) |
---|
| 900 | ! back rotation |
---|
| 901 | zhpine(ji,jj,1) = zcosa(ji,jj) * ( zhpitra(ji,jj,1) + zuap ) & |
---|
| 902 | & - zsina(ji,jj) * ( zhpjtra(ji,jj,1) + zvap ) |
---|
| 903 | zhpjne(ji,jj,1) = zsina(ji,jj) * ( zhpitra(ji,jj,1) + zuap ) & |
---|
| 904 | & + zcosa(ji,jj) * ( zhpjtra(ji,jj,1) + zvap ) |
---|
| 905 | END DO |
---|
| 906 | END DO |
---|
| 907 | |
---|
| 908 | ! interpolate and add to the general trend the diagonal gradient |
---|
| 909 | DO jj = 2, jpjm1 |
---|
| 910 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 911 | ! averaging |
---|
| 912 | zhpirot(ji,jj,1) = 0.5 * ( zhpine(ji,jj,1) + zhpine(ji ,jj-1,1) ) |
---|
| 913 | zhpjrot(ji,jj,1) = 0.5 * ( zhpjne(ji,jj,1) + zhpjne(ji-1,jj ,1) ) |
---|
| 914 | ! add to the general momentum trend |
---|
| 915 | ua(ji,jj,1) = ua(ji,jj,1) + zfrot * zhpirot(ji,jj,1) |
---|
| 916 | va(ji,jj,1) = va(ji,jj,1) + zfrot * zhpjrot(ji,jj,1) |
---|
| 917 | END DO |
---|
| 918 | END DO |
---|
| 919 | |
---|
| 920 | ! ----------------- |
---|
| 921 | ! 2. interior value (2=<jk=<jpkm1) |
---|
| 922 | ! ----------------- |
---|
| 923 | ! compute and add to the general trend the pressure gradients along the axes |
---|
| 924 | DO jk = 2, jpkm1 |
---|
| 925 | DO jj = 2, jpjm1 |
---|
| 926 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 927 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 928 | zhpiorg(ji,jj,jk) = zhpiorg(ji,jj,jk-1) & |
---|
| 929 | & + zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj,jk ) * rhd(ji+1,jj,jk ) & |
---|
| 930 | & - fse3t(ji ,jj,jk ) * rhd(ji ,jj,jk ) & |
---|
| 931 | & + fse3t(ji+1,jj,jk-1) * rhd(ji+1,jj,jk-1) & |
---|
| 932 | & - fse3t(ji ,jj,jk-1) * rhd(ji ,jj,jk-1) ) |
---|
| 933 | zhpjorg(ji,jj,jk) = zhpjorg(ji,jj,jk-1) & |
---|
| 934 | & + zcoef0 / e2v(ji,jj) * ( fse3t(ji,jj+1,jk ) * rhd(ji,jj+1,jk ) & |
---|
| 935 | & - fse3t(ji,jj ,jk ) * rhd(ji,jj, jk ) & |
---|
| 936 | & + fse3t(ji,jj+1,jk-1) * rhd(ji,jj+1,jk-1) & |
---|
| 937 | & - fse3t(ji,jj ,jk-1) * rhd(ji,jj, jk-1) ) |
---|
| 938 | ! s-coordinate pressure gradient correction |
---|
| 939 | zuap = - zcoef0 * ( rhd (ji+1,jj ,jk) + rhd (ji,jj,jk) ) & |
---|
| 940 | & * ( fsdept(ji+1,jj ,jk) - fsdept(ji,jj,jk) ) / e1u(ji,jj) |
---|
| 941 | zvap = - zcoef0 * ( rhd (ji ,jj+1,jk) + rhd (ji,jj,jk) ) & |
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| 942 | & * ( fsdept(ji ,jj+1,jk) - fsdept(ji,jj,jk) ) / e2v(ji,jj) |
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| 943 | ! add to the general momentum trend |
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| 944 | ua(ji,jj,jk) = ua(ji,jj,jk) + zforg*( zhpiorg(ji,jj,jk) + zuap ) |
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| 945 | va(ji,jj,jk) = va(ji,jj,jk) + zforg*( zhpjorg(ji,jj,jk) + zvap ) |
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| 946 | END DO |
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| 947 | END DO |
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| 948 | END DO |
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| 949 | |
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| 950 | ! compute the pressure gradients in the diagonal directions |
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| 951 | DO jk = 2, jpkm1 |
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| 952 | DO jj = 1, jpjm1 |
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| 953 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 954 | zmskd1 = tmask(ji+1,jj+1,jk ) * tmask(ji ,jj,jk ) ! level jk mask in the 1st diagnonal |
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| 955 | zmskd1m = tmask(ji+1,jj+1,jk-1) * tmask(ji ,jj,jk-1) ! level jk-1 " " |
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| 956 | zmskd2 = tmask(ji ,jj+1,jk ) * tmask(ji+1,jj,jk ) ! level jk mask in the 2nd diagnonal |
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| 957 | zmskd2m = tmask(ji ,jj+1,jk-1) * tmask(ji+1,jj,jk-1) ! level jk-1 " " |
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| 958 | ! hydrostatic pressure gradient along s-surfaces |
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| 959 | zhpitra(ji,jj,jk) = zhpitra(ji,jj,jk-1) & |
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| 960 | & + zdistr(ji,jj) * zmskd1 * ( fse3t(ji+1,jj+1,jk ) * rhd(ji+1,jj+1,jk) & |
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| 961 | & -fse3t(ji ,jj ,jk ) * rhd(ji ,jj ,jk) ) & |
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| 962 | & + zdistr(ji,jj) * zmskd1m * ( fse3t(ji+1,jj+1,jk-1) * rhd(ji+1,jj+1,jk-1) & |
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| 963 | & -fse3t(ji ,jj ,jk-1) * rhd(ji ,jj ,jk-1) ) |
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| 964 | zhpjtra(ji,jj,jk) = zhpjtra(ji,jj,jk-1) & |
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| 965 | & + zdistr(ji,jj) * zmskd2 * ( fse3t(ji ,jj+1,jk ) * rhd(ji ,jj+1,jk) & |
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| 966 | & -fse3t(ji+1,jj ,jk ) * rhd(ji+1,jj, jk) ) & |
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| 967 | & + zdistr(ji,jj) * zmskd2m * ( fse3t(ji ,jj+1,jk-1) * rhd(ji ,jj+1,jk-1) & |
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| 968 | & -fse3t(ji+1,jj ,jk-1) * rhd(ji+1,jj, jk-1) ) |
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| 969 | ! s-coordinate pressure gradient correction |
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| 970 | zuap = - zdistr(ji,jj) * zmskd1 * ( rhd (ji+1,jj+1,jk) + rhd (ji ,jj,jk) ) & |
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| 971 | & * ( fsdept(ji+1,jj+1,jk) - fsdept(ji ,jj,jk) ) |
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| 972 | zvap = - zdistr(ji,jj) * zmskd2 * ( rhd (ji ,jj+1,jk) + rhd (ji+1,jj,jk) ) & |
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| 973 | & * ( fsdept(ji ,jj+1,jk) - fsdept(ji+1,jj,jk) ) |
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| 974 | ! back rotation |
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| 975 | zhpine(ji,jj,jk) = zcosa(ji,jj) * ( zhpitra(ji,jj,jk) + zuap ) & |
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| 976 | & - zsina(ji,jj) * ( zhpjtra(ji,jj,jk) + zvap ) |
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| 977 | zhpjne(ji,jj,jk) = zsina(ji,jj) * ( zhpitra(ji,jj,jk) + zuap ) & |
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| 978 | & + zcosa(ji,jj) * ( zhpjtra(ji,jj,jk) + zvap ) |
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| 979 | END DO |
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| 980 | END DO |
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| 981 | END DO |
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| 982 | |
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| 983 | ! interpolate and add to the general trend |
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| 984 | DO jk = 2, jpkm1 |
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| 985 | DO jj = 2, jpjm1 |
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| 986 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 987 | ! averaging |
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| 988 | zhpirot(ji,jj,jk) = 0.5 * ( zhpine(ji,jj,jk) + zhpine(ji ,jj-1,jk) ) |
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| 989 | zhpjrot(ji,jj,jk) = 0.5 * ( zhpjne(ji,jj,jk) + zhpjne(ji-1,jj ,jk) ) |
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| 990 | ! add to the general momentum trend |
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| 991 | ua(ji,jj,jk) = ua(ji,jj,jk) + zfrot * zhpirot(ji,jj,jk) |
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| 992 | va(ji,jj,jk) = va(ji,jj,jk) + zfrot * zhpjrot(ji,jj,jk) |
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| 993 | END DO |
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| 994 | END DO |
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| 995 | END DO |
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[503] | 996 | ! |
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[455] | 997 | END SUBROUTINE hpg_rot |
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| 998 | |
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[3] | 999 | !!====================================================================== |
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| 1000 | END MODULE dynhpg |
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