[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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[503] | 6 | !! History : 1.0 ! 87-09 (P. Andrich, M.-A. Foujols) hpg_zco: Original code |
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| 7 | !! 5.0 ! 91-11 (G. Madec) |
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| 8 | !! 7.0 ! 96-01 (G. Madec) hpg_sco: Original code for s-coordinates |
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| 9 | !! 8.0 ! 97-05 (G. Madec) split dynber into dynkeg and dynhpg |
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| 10 | !! 8.5 ! 02-07 (G. Madec) F90: Free form and module |
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| 11 | !! 8.5 ! 02-08 (A. Bozec) hpg_zps: Original code |
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| 12 | !! 9.0 ! 05-10 (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 | !! 9.0 ! 05-11 (G. Madec) style & small optimisation |
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| 15 | !!---------------------------------------------------------------------- |
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[3] | 16 | |
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| 17 | !!---------------------------------------------------------------------- |
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[455] | 18 | !! dyn_hpg : update the momentum trend with the now horizontal |
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[3] | 19 | !! gradient of the hydrostatic pressure |
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[455] | 20 | !! default case : k-j-i loops (vector opt. available) |
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| 21 | !! hpg_ctl : initialisation and control of options |
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| 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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[455] | 32 | USE dynhpg_jki ! |
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[3] | 33 | USE phycst ! physical constants |
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| 34 | USE in_out_manager ! I/O manager |
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[216] | 35 | USE trdmod ! ocean dynamics trends |
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| 36 | USE trdmod_oce ! ocean variables trends |
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[258] | 37 | USE prtctl ! Print control |
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[455] | 38 | USE lbclnk ! lateral boundary condition |
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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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[503] | 43 | PUBLIC dyn_hpg ! routine called by step module |
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[3] | 44 | |
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[455] | 45 | #if defined key_mpp_omp |
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| 46 | !!---------------------------------------------------------------------- |
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| 47 | !! 'key_mpp_omp' : j-k-i loop (j-slab) |
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| 48 | !!---------------------------------------------------------------------- |
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| 49 | LOGICAL, PUBLIC, PARAMETER :: lk_dynhpg_jki = .TRUE. !: OpenMP hpg flag |
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| 50 | LOGICAL, PUBLIC, PARAMETER :: lk_dynhpg = .FALSE. !: vector hpg flag |
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| 51 | #else |
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| 52 | !!---------------------------------------------------------------------- |
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| 53 | !! default case : k-j-i loop (vector opt.) |
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| 54 | !!---------------------------------------------------------------------- |
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| 55 | LOGICAL, PUBLIC, PARAMETER :: lk_dynhpg_jki = .FALSE. !: OpenMP hpg flag |
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| 56 | LOGICAL, PUBLIC, PARAMETER :: lk_dynhpg = .TRUE. !: vector hpg flag |
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| 57 | #endif |
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| 58 | |
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[503] | 59 | !!* Namelist nam_dynhpg : Choice of horizontal pressure gradient computation |
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| 60 | LOGICAL :: ln_hpg_zco = .TRUE. ! z-coordinate - full steps |
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| 61 | LOGICAL :: ln_hpg_zps = .FALSE. ! z-coordinate - partial steps (interpolation) |
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| 62 | LOGICAL :: ln_hpg_sco = .FALSE. ! s-coordinate (standard jacobian formulation) |
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| 63 | LOGICAL :: ln_hpg_hel = .FALSE. ! s-coordinate (helsinki modification) |
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| 64 | LOGICAL :: ln_hpg_wdj = .FALSE. ! s-coordinate (weighted density jacobian) |
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| 65 | LOGICAL :: ln_hpg_djc = .FALSE. ! s-coordinate (Density Jacobian with Cubic polynomial) |
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| 66 | LOGICAL :: ln_hpg_rot = .FALSE. ! s-coordinate (ROTated axes scheme) |
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| 67 | REAL(wp) :: gamm = 0.e0 ! weighting coefficient |
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| 68 | NAMELIST/nam_dynhpg/ ln_hpg_zco, ln_hpg_zps, ln_hpg_sco, ln_hpg_hel, & |
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| 69 | & ln_hpg_wdj, ln_hpg_djc, ln_hpg_rot, gamm |
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[455] | 70 | |
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[503] | 71 | INTEGER :: nhpg = 0 ! = 0 to 6, type of pressure gradient scheme used |
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| 72 | ! ! (deduced from ln_hpg_... flags) |
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[455] | 73 | |
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[3] | 74 | !! * Substitutions |
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| 75 | # include "domzgr_substitute.h90" |
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| 76 | # include "vectopt_loop_substitute.h90" |
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| 77 | !!---------------------------------------------------------------------- |
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[247] | 78 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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| 79 | !! $Header$ |
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[503] | 80 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[3] | 81 | !!---------------------------------------------------------------------- |
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| 82 | |
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| 83 | CONTAINS |
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| 84 | |
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| 85 | SUBROUTINE dyn_hpg( kt ) |
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| 86 | !!--------------------------------------------------------------------- |
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| 87 | !! *** ROUTINE dyn_hpg *** |
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| 88 | !! |
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[455] | 89 | !! ** Method : Call the hydrostatic pressure gradient routine |
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[503] | 90 | !! using the scheme defined in the namelist |
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[455] | 91 | !! |
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| 92 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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| 93 | !! - Save the trend (l_trddyn=T) |
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[503] | 94 | !!---------------------------------------------------------------------- |
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| 95 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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[3] | 96 | !! |
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[503] | 97 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: ztrdu, ztrdv ! 3D temporary workspace |
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[455] | 98 | !!---------------------------------------------------------------------- |
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| 99 | |
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| 100 | IF( kt == nit000 ) CALL hpg_ctl ! initialisation & control of options |
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| 101 | |
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[503] | 102 | IF( l_trddyn ) THEN ! Temporary saving of ua and va trends (l_trddyn) |
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[455] | 103 | ztrdu(:,:,:) = ua(:,:,:) |
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| 104 | ztrdv(:,:,:) = va(:,:,:) |
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| 105 | ENDIF |
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| 106 | |
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| 107 | SELECT CASE ( nhpg ) ! Hydrastatic pressure gradient computation |
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[503] | 108 | CASE ( 0 ) ; CALL hpg_zco ( kt ) ! z-coordinate |
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| 109 | CASE ( 1 ) ; CALL hpg_zps ( kt ) ! z-coordinate plus partial steps (interpolation) |
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| 110 | CASE ( 2 ) ; CALL hpg_sco ( kt ) ! s-coordinate (standard jacobian formulation) |
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| 111 | CASE ( 3 ) ; CALL hpg_hel ( kt ) ! s-coordinate (helsinki modification) |
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| 112 | CASE ( 4 ) ; CALL hpg_wdj ( kt ) ! s-coordinate (weighted density jacobian) |
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| 113 | CASE ( 5 ) ; CALL hpg_djc ( kt ) ! s-coordinate (Density Jacobian with Cubic polynomial) |
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| 114 | CASE ( 6 ) ; CALL hpg_rot ( kt ) ! s-coordinate (ROTated axes scheme) |
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| 115 | CASE ( 10 ) ; CALL hpg_zco_jki( kt ) ! z-coordinate (k-j-i) |
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| 116 | CASE ( 11 ) ; CALL hpg_zps_jki( kt ) ! z-coordinate plus partial steps (interpolation) (k-j-i) |
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| 117 | CASE ( 12 ) ; CALL hpg_sco_jki( kt ) ! s-coordinate (standard jacobian formulation) (k-j-i) |
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[455] | 118 | END SELECT |
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| 119 | |
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[503] | 120 | IF( l_trddyn ) THEN ! save the hydrostatic pressure gradient trends for momentum trend diagnostics |
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[455] | 121 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 122 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 123 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_hpg, 'DYN', kt ) |
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[455] | 124 | ENDIF |
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[503] | 125 | ! |
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| 126 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' hpg - Ua: ', mask1=umask, & |
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| 127 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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| 128 | ! |
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[455] | 129 | END SUBROUTINE dyn_hpg |
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| 130 | |
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| 131 | |
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| 132 | SUBROUTINE hpg_ctl |
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| 133 | !!---------------------------------------------------------------------- |
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| 134 | !! *** ROUTINE hpg_ctl *** |
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| 135 | !! |
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| 136 | !! ** Purpose : initializations for the hydrostatic pressure gradient |
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| 137 | !! computation and consistency control |
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| 138 | !! |
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| 139 | !! ** Action : Read the namelist namdynhpg and check the consistency |
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| 140 | !! with the type of vertical coordinate used (zco, zps, sco) |
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| 141 | !!---------------------------------------------------------------------- |
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| 142 | INTEGER :: ioptio = 0 ! temporary integer |
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| 143 | !!---------------------------------------------------------------------- |
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| 144 | |
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[503] | 145 | REWIND ( numnam ) ! Read Namelist nam_dynhpg : pressure gradient calculation options |
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[455] | 146 | READ ( numnam, nam_dynhpg ) |
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| 147 | |
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[503] | 148 | IF(lwp) THEN ! Control print |
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[455] | 149 | WRITE(numout,*) |
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| 150 | WRITE(numout,*) 'dyn:hpg_ctl : hydrostatic pressure gradient control' |
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| 151 | WRITE(numout,*) '~~~~~~~~~~~' |
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| 152 | WRITE(numout,*) ' Namelist nam_dynhpg : choice of hpg scheme' |
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| 153 | WRITE(numout,*) ' z-coord. - full steps ln_hpg_zco = ', ln_hpg_zco |
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| 154 | WRITE(numout,*) ' z-coord. - partial steps (interpolation) ln_hpg_zps = ', ln_hpg_zps |
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| 155 | WRITE(numout,*) ' s-coord. (standard jacobian formulation) ln_hpg_sco = ', ln_hpg_sco |
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| 156 | WRITE(numout,*) ' s-coord. (helsinki modification) ln_hpg_hel = ', ln_hpg_hel |
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| 157 | WRITE(numout,*) ' s-coord. (weighted density jacobian) ln_hpg_wdj = ', ln_hpg_wdj |
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| 158 | WRITE(numout,*) ' s-coord. (Density Jacobian: Cubic polynomial) ln_hpg_djc = ', ln_hpg_djc |
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| 159 | WRITE(numout,*) ' s-coord. (ROTated axes scheme) ln_hpg_rot = ', ln_hpg_rot |
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| 160 | WRITE(numout,*) ' weighting coeff. (wdj scheme) gamm = ', gamm |
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| 161 | ENDIF |
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| 162 | |
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[503] | 163 | ! ! Set nhpg from ln_hpg_... flags |
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[455] | 164 | IF( ln_hpg_zco ) nhpg = 0 |
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| 165 | IF( ln_hpg_zps ) nhpg = 1 |
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| 166 | IF( ln_hpg_sco ) nhpg = 2 |
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| 167 | IF( ln_hpg_hel ) nhpg = 3 |
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| 168 | IF( ln_hpg_wdj ) nhpg = 4 |
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| 169 | IF( ln_hpg_djc ) nhpg = 5 |
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| 170 | IF( ln_hpg_rot ) nhpg = 6 |
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| 171 | |
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[503] | 172 | ! ! Consitency check |
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[455] | 173 | ioptio = 0 |
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| 174 | IF( ln_hpg_zco ) ioptio = ioptio + 1 |
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| 175 | IF( ln_hpg_zps ) ioptio = ioptio + 1 |
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| 176 | IF( ln_hpg_sco ) ioptio = ioptio + 1 |
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| 177 | IF( ln_hpg_hel ) ioptio = ioptio + 1 |
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| 178 | IF( ln_hpg_wdj ) ioptio = ioptio + 1 |
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| 179 | IF( ln_hpg_djc ) ioptio = ioptio + 1 |
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| 180 | IF( ln_hpg_rot ) ioptio = ioptio + 1 |
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[503] | 181 | IF ( ioptio /= 1 ) CALL ctl_stop( ' NO or several hydrostatic pressure gradient options used' ) |
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[455] | 182 | |
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| 183 | IF( lk_dynhpg_jki ) THEN |
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| 184 | nhpg = nhpg + 10 |
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| 185 | IF(lwp) WRITE(numout,*) |
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| 186 | IF(lwp) WRITE(numout,*) ' Autotasking or OPENMP: use j-k-i loops (i.e. _jki routines)' |
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| 187 | ENDIF |
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[503] | 188 | ! |
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[455] | 189 | END SUBROUTINE hpg_ctl |
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| 190 | |
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| 191 | |
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| 192 | SUBROUTINE hpg_zco( kt ) |
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| 193 | !!--------------------------------------------------------------------- |
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| 194 | !! *** ROUTINE hpg_zco *** |
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| 195 | !! |
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| 196 | !! ** Method : z-coordinate case, levels are horizontal surfaces. |
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| 197 | !! The now hydrostatic pressure gradient at a given level, jk, |
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| 198 | !! is computed by taking the vertical integral of the in-situ |
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| 199 | !! density gradient along the model level from the suface to that |
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| 200 | !! level: zhpi = grav ..... |
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| 201 | !! zhpj = grav ..... |
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[3] | 202 | !! add it to the general momentum trend (ua,va). |
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[455] | 203 | !! ua = ua - 1/e1u * zhpi |
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| 204 | !! va = va - 1/e2v * zhpj |
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| 205 | !! |
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[3] | 206 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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[503] | 207 | !!---------------------------------------------------------------------- |
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| 208 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
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| 209 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
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[3] | 210 | !! |
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[503] | 211 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 212 | !! |
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| 213 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 214 | REAL(wp) :: zcoef0, zcoef1 ! temporary scalars |
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[3] | 215 | !!---------------------------------------------------------------------- |
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[455] | 216 | |
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[3] | 217 | IF( kt == nit000 ) THEN |
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| 218 | IF(lwp) WRITE(numout,*) |
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[455] | 219 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zco : hydrostatic pressure gradient trend' |
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| 220 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ z-coordinate case ' |
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[3] | 221 | ENDIF |
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[455] | 222 | |
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| 223 | ! Local constant initialization |
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[32] | 224 | zcoef0 = - grav * 0.5 |
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[3] | 225 | |
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[455] | 226 | ! Surface value |
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[3] | 227 | DO jj = 2, jpjm1 |
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| 228 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[455] | 229 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
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| 230 | ! hydrostatic pressure gradient |
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| 231 | zhpi(ji,jj,1) = zcoef1 * ( rhd(ji+1,jj,1) - rhd(ji,jj,1) ) / e1u(ji,jj) |
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| 232 | zhpj(ji,jj,1) = zcoef1 * ( rhd(ji,jj+1,1) - rhd(ji,jj,1) ) / e2v(ji,jj) |
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[3] | 233 | ! add to the general momentum trend |
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[455] | 234 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
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| 235 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
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| 236 | END DO |
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| 237 | END DO |
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[503] | 238 | ! |
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[455] | 239 | ! interior value (2=<jk=<jpkm1) |
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[3] | 240 | DO jk = 2, jpkm1 |
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[455] | 241 | DO jj = 2, jpjm1 |
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[3] | 242 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[455] | 243 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
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| 244 | ! hydrostatic pressure gradient |
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| 245 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
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| 246 | & + zcoef1 * ( ( rhd(ji+1,jj,jk)+rhd(ji+1,jj,jk-1) ) & |
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| 247 | & - ( rhd(ji ,jj,jk)+rhd(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
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| 248 | |
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| 249 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
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| 250 | & + zcoef1 * ( ( rhd(ji,jj+1,jk)+rhd(ji,jj+1,jk-1) ) & |
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| 251 | & - ( rhd(ji,jj, jk)+rhd(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
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[3] | 252 | ! add to the general momentum trend |
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[455] | 253 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
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| 254 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
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[3] | 255 | END DO |
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| 256 | END DO |
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| 257 | END DO |
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[503] | 258 | ! |
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[455] | 259 | END SUBROUTINE hpg_zco |
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[216] | 260 | |
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[3] | 261 | |
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[455] | 262 | SUBROUTINE hpg_zps( kt ) |
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[3] | 263 | !!--------------------------------------------------------------------- |
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[455] | 264 | !! *** ROUTINE hpg_zps *** |
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[3] | 265 | !! |
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[455] | 266 | !! ** Method : z-coordinate plus partial steps case. blahblah... |
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| 267 | !! |
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[3] | 268 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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[455] | 269 | !!---------------------------------------------------------------------- |
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[503] | 270 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
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| 271 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
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| 272 | !! |
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| 273 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 274 | !! |
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| 275 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 276 | INTEGER :: iku, ikv ! temporary integers |
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| 277 | REAL(wp) :: zcoef0, zcoef1, zcoef2, zcoef3 ! temporary scalars |
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[3] | 278 | !!---------------------------------------------------------------------- |
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| 279 | |
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| 280 | IF( kt == nit000 ) THEN |
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| 281 | IF(lwp) WRITE(numout,*) |
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[455] | 282 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zps : hydrostatic pressure gradient trend' |
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[503] | 283 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ z-coordinate with partial steps - vector optimization' |
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[3] | 284 | ENDIF |
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| 285 | |
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[503] | 286 | ! Local constant initialization |
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[32] | 287 | zcoef0 = - grav * 0.5 |
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[3] | 288 | |
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[503] | 289 | ! Surface value |
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[3] | 290 | DO jj = 2, jpjm1 |
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| 291 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[170] | 292 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
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[3] | 293 | ! hydrostatic pressure gradient |
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[455] | 294 | zhpi(ji,jj,1) = zcoef1 * ( rhd(ji+1,jj ,1) - rhd(ji,jj,1) ) / e1u(ji,jj) |
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| 295 | zhpj(ji,jj,1) = zcoef1 * ( rhd(ji ,jj+1,1) - rhd(ji,jj,1) ) / e2v(ji,jj) |
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[3] | 296 | ! add to the general momentum trend |
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| 297 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
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| 298 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
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| 299 | END DO |
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| 300 | END DO |
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| 301 | |
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[503] | 302 | ! interior value (2=<jk=<jpkm1) |
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[3] | 303 | DO jk = 2, jpkm1 |
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| 304 | DO jj = 2, jpjm1 |
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| 305 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[170] | 306 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
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[3] | 307 | ! hydrostatic pressure gradient |
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| 308 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
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[455] | 309 | & + zcoef1 * ( ( rhd(ji+1,jj,jk) + rhd(ji+1,jj,jk-1) ) & |
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| 310 | & - ( rhd(ji ,jj,jk) + rhd(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
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[3] | 311 | |
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| 312 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
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[455] | 313 | & + zcoef1 * ( ( rhd(ji,jj+1,jk) + rhd(ji,jj+1,jk-1) ) & |
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| 314 | & - ( rhd(ji,jj, jk) + rhd(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
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[3] | 315 | ! add to the general momentum trend |
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| 316 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
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| 317 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
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[455] | 318 | END DO |
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[3] | 319 | END DO |
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| 320 | END DO |
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| 321 | |
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| 322 | ! partial steps correction at the last level (new gradient with intgrd.F) |
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| 323 | # if defined key_vectopt_loop |
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| 324 | jj = 1 |
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| 325 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
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| 326 | # else |
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| 327 | DO jj = 2, jpjm1 |
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| 328 | DO ji = 2, jpim1 |
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| 329 | # endif |
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| 330 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 |
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| 331 | ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 |
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| 332 | zcoef2 = zcoef0 * MIN( fse3w(ji,jj,iku), fse3w(ji+1,jj ,iku) ) |
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| 333 | zcoef3 = zcoef0 * MIN( fse3w(ji,jj,ikv), fse3w(ji ,jj+1,ikv) ) |
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| 334 | ! on i-direction |
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| 335 | IF ( iku > 2 ) THEN |
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[455] | 336 | ! subtract old value |
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[3] | 337 | ua(ji,jj,iku) = ua(ji,jj,iku) - zhpi(ji,jj,iku) |
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[455] | 338 | ! compute the new one |
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[3] | 339 | zhpi (ji,jj,iku) = zhpi(ji,jj,iku-1) & |
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| 340 | + zcoef2 * ( rhd(ji+1,jj,iku-1) - rhd(ji,jj,iku-1) + gru(ji,jj) ) / e1u(ji,jj) |
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| 341 | ! add the new one to the general momentum trend |
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| 342 | ua(ji,jj,iku) = ua(ji,jj,iku) + zhpi(ji,jj,iku) |
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| 343 | ENDIF |
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| 344 | ! on j-direction |
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| 345 | IF ( ikv > 2 ) THEN |
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[455] | 346 | ! subtract old value |
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[3] | 347 | va(ji,jj,ikv) = va(ji,jj,ikv) - zhpj(ji,jj,ikv) |
---|
[455] | 348 | ! compute the new one |
---|
[3] | 349 | zhpj (ji,jj,ikv) = zhpj(ji,jj,ikv-1) & |
---|
| 350 | + zcoef3 * ( rhd(ji,jj+1,ikv-1) - rhd(ji,jj,ikv-1) + grv(ji,jj) ) / e2v(ji,jj) |
---|
| 351 | ! add the new one to the general momentum trend |
---|
| 352 | va(ji,jj,ikv) = va(ji,jj,ikv) + zhpj(ji,jj,ikv) |
---|
| 353 | ENDIF |
---|
| 354 | # if ! defined key_vectopt_loop |
---|
| 355 | END DO |
---|
| 356 | # endif |
---|
| 357 | END DO |
---|
[503] | 358 | ! |
---|
[455] | 359 | END SUBROUTINE hpg_zps |
---|
[216] | 360 | |
---|
[3] | 361 | |
---|
[455] | 362 | SUBROUTINE hpg_sco( kt ) |
---|
[3] | 363 | !!--------------------------------------------------------------------- |
---|
[455] | 364 | !! *** ROUTINE hpg_sco *** |
---|
[3] | 365 | !! |
---|
[455] | 366 | !! ** Method : s-coordinate case. Jacobian scheme. |
---|
| 367 | !! The now hydrostatic pressure gradient at a given level, jk, |
---|
| 368 | !! is computed by taking the vertical integral of the in-situ |
---|
[3] | 369 | !! density gradient along the model level from the suface to that |
---|
[455] | 370 | !! level. s-coordinates (ln_sco): a corrective term is added |
---|
| 371 | !! to the horizontal pressure gradient : |
---|
| 372 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
---|
| 373 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
---|
[3] | 374 | !! add it to the general momentum trend (ua,va). |
---|
[455] | 375 | !! ua = ua - 1/e1u * zhpi |
---|
| 376 | !! va = va - 1/e2v * zhpj |
---|
[3] | 377 | !! |
---|
| 378 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
[503] | 379 | !!---------------------------------------------------------------------- |
---|
| 380 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 381 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
[3] | 382 | !! |
---|
[503] | 383 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 384 | !! |
---|
| 385 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 386 | REAL(wp) :: zcoef0, zuap, zvap ! temporary scalars |
---|
[3] | 387 | !!---------------------------------------------------------------------- |
---|
| 388 | |
---|
| 389 | IF( kt == nit000 ) THEN |
---|
| 390 | IF(lwp) WRITE(numout,*) |
---|
[455] | 391 | IF(lwp) WRITE(numout,*) 'dyn:hpg_sco : hydrostatic pressure gradient trend' |
---|
| 392 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, OPA original scheme used' |
---|
[3] | 393 | ENDIF |
---|
| 394 | |
---|
[503] | 395 | ! Local constant initialization |
---|
[455] | 396 | zcoef0 = - grav * 0.5 |
---|
| 397 | |
---|
[503] | 398 | ! Surface value |
---|
[455] | 399 | DO jj = 2, jpjm1 |
---|
| 400 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 401 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 402 | zhpi(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( fse3w(ji+1,jj ,1) * rhd(ji+1,jj ,1) & |
---|
| 403 | & - fse3w(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 404 | zhpj(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( fse3w(ji ,jj+1,1) * rhd(ji ,jj+1,1) & |
---|
| 405 | & - fse3w(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 406 | ! s-coordinate pressure gradient correction |
---|
| 407 | zuap = -zcoef0 * ( rhd (ji+1,jj,1) + rhd (ji,jj,1) ) & |
---|
| 408 | & * ( fsde3w(ji+1,jj,1) - fsde3w(ji,jj,1) ) / e1u(ji,jj) |
---|
| 409 | zvap = -zcoef0 * ( rhd (ji,jj+1,1) + rhd (ji,jj,1) ) & |
---|
| 410 | & * ( fsde3w(ji,jj+1,1) - fsde3w(ji,jj,1) ) / e2v(ji,jj) |
---|
| 411 | ! add to the general momentum trend |
---|
| 412 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) + zuap |
---|
| 413 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) + zvap |
---|
| 414 | END DO |
---|
| 415 | END DO |
---|
| 416 | |
---|
[503] | 417 | ! interior value (2=<jk=<jpkm1) |
---|
[455] | 418 | DO jk = 2, jpkm1 |
---|
| 419 | DO jj = 2, jpjm1 |
---|
| 420 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 421 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 422 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) + zcoef0 / e1u(ji,jj) & |
---|
| 423 | & * ( fse3w(ji+1,jj,jk) * ( rhd(ji+1,jj,jk) + rhd(ji+1,jj,jk-1) ) & |
---|
| 424 | & - fse3w(ji ,jj,jk) * ( rhd(ji ,jj,jk) + rhd(ji ,jj,jk-1) ) ) |
---|
| 425 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) + zcoef0 / e2v(ji,jj) & |
---|
| 426 | & * ( fse3w(ji,jj+1,jk) * ( rhd(ji,jj+1,jk) + rhd(ji,jj+1,jk-1) ) & |
---|
| 427 | & - fse3w(ji,jj ,jk) * ( rhd(ji,jj, jk) + rhd(ji,jj ,jk-1) ) ) |
---|
| 428 | ! s-coordinate pressure gradient correction |
---|
| 429 | zuap = -zcoef0 * ( rhd (ji+1,jj ,jk) + rhd (ji,jj,jk) ) & |
---|
| 430 | & * ( fsde3w(ji+1,jj ,jk) - fsde3w(ji,jj,jk) ) / e1u(ji,jj) |
---|
| 431 | zvap = -zcoef0 * ( rhd (ji ,jj+1,jk) + rhd (ji,jj,jk) ) & |
---|
| 432 | & * ( fsde3w(ji ,jj+1,jk) - fsde3w(ji,jj,jk) ) / e2v(ji,jj) |
---|
| 433 | ! add to the general momentum trend |
---|
| 434 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) + zuap |
---|
| 435 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) + zvap |
---|
| 436 | END DO |
---|
| 437 | END DO |
---|
| 438 | END DO |
---|
[503] | 439 | ! |
---|
[455] | 440 | END SUBROUTINE hpg_sco |
---|
| 441 | |
---|
| 442 | |
---|
| 443 | SUBROUTINE hpg_hel( kt ) |
---|
| 444 | !!--------------------------------------------------------------------- |
---|
| 445 | !! *** ROUTINE hpg_hel *** |
---|
| 446 | !! |
---|
| 447 | !! ** Method : s-coordinate case. |
---|
| 448 | !! The now hydrostatic pressure gradient at a given level |
---|
| 449 | !! jk is computed by taking the vertical integral of the in-situ |
---|
| 450 | !! density gradient along the model level from the suface to that |
---|
| 451 | !! level. s-coordinates (ln_sco): a corrective term is added |
---|
| 452 | !! to the horizontal pressure gradient : |
---|
| 453 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
---|
| 454 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
---|
| 455 | !! add it to the general momentum trend (ua,va). |
---|
| 456 | !! ua = ua - 1/e1u * zhpi |
---|
| 457 | !! va = va - 1/e2v * zhpj |
---|
| 458 | !! |
---|
| 459 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
| 460 | !! - Save the trend (l_trddyn=T) |
---|
[503] | 461 | !!---------------------------------------------------------------------- |
---|
| 462 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 463 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
[455] | 464 | !! |
---|
[503] | 465 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 466 | !! |
---|
| 467 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 468 | REAL(wp) :: zcoef0, zuap, zvap ! temporary scalars |
---|
[455] | 469 | !!---------------------------------------------------------------------- |
---|
| 470 | |
---|
| 471 | IF( kt == nit000 ) THEN |
---|
| 472 | IF(lwp) WRITE(numout,*) |
---|
| 473 | IF(lwp) WRITE(numout,*) 'dyn:hpg_hel : hydrostatic pressure gradient trend' |
---|
| 474 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, helsinki modified scheme' |
---|
[216] | 475 | ENDIF |
---|
| 476 | |
---|
[503] | 477 | ! Local constant initialization |
---|
[32] | 478 | zcoef0 = - grav * 0.5 |
---|
[455] | 479 | |
---|
[503] | 480 | ! Surface value |
---|
[3] | 481 | DO jj = 2, jpjm1 |
---|
| 482 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[455] | 483 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 484 | zhpi(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj ,1) * rhd(ji+1,jj ,1) & |
---|
| 485 | & - fse3t(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 486 | zhpj(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( fse3t(ji ,jj+1,1) * rhd(ji ,jj+1,1) & |
---|
| 487 | & - fse3t(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 488 | ! s-coordinate pressure gradient correction |
---|
| 489 | zuap = -zcoef0 * ( rhd (ji+1,jj,1) + rhd (ji,jj,1) ) & |
---|
| 490 | & * ( fsdept(ji+1,jj,1) - fsdept(ji,jj,1) ) / e1u(ji,jj) |
---|
| 491 | zvap = -zcoef0 * ( rhd (ji,jj+1,1) + rhd (ji,jj,1) ) & |
---|
| 492 | & * ( fsdept(ji,jj+1,1) - fsdept(ji,jj,1) ) / e2v(ji,jj) |
---|
[3] | 493 | ! add to the general momentum trend |
---|
[455] | 494 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) + zuap |
---|
| 495 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) + zvap |
---|
[3] | 496 | END DO |
---|
| 497 | END DO |
---|
[503] | 498 | ! |
---|
| 499 | ! interior value (2=<jk=<jpkm1) |
---|
[3] | 500 | DO jk = 2, jpkm1 |
---|
| 501 | DO jj = 2, jpjm1 |
---|
| 502 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[455] | 503 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 504 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
---|
| 505 | & + zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj,jk ) * rhd(ji+1,jj,jk) & |
---|
| 506 | & -fse3t(ji ,jj,jk ) * rhd(ji ,jj,jk) ) & |
---|
| 507 | & + zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj,jk-1) * rhd(ji+1,jj,jk-1) & |
---|
| 508 | & -fse3t(ji ,jj,jk-1) * rhd(ji ,jj,jk-1) ) |
---|
| 509 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
---|
| 510 | & + zcoef0 / e2v(ji,jj) * ( fse3t(ji,jj+1,jk ) * rhd(ji,jj+1,jk) & |
---|
| 511 | & -fse3t(ji,jj ,jk ) * rhd(ji,jj, jk) ) & |
---|
| 512 | & + zcoef0 / e2v(ji,jj) * ( fse3t(ji,jj+1,jk-1) * rhd(ji,jj+1,jk-1) & |
---|
| 513 | & -fse3t(ji,jj ,jk-1) * rhd(ji,jj, jk-1) ) |
---|
| 514 | ! s-coordinate pressure gradient correction |
---|
| 515 | zuap = - zcoef0 * ( rhd (ji+1,jj,jk) + rhd (ji,jj,jk) ) & |
---|
| 516 | & * ( fsdept(ji+1,jj,jk) - fsdept(ji,jj,jk) ) / e1u(ji,jj) |
---|
| 517 | zvap = - zcoef0 * ( rhd (ji,jj+1,jk) + rhd (ji,jj,jk) ) & |
---|
| 518 | & * ( fsdept(ji,jj+1,jk) - fsdept(ji,jj,jk) ) / e2v(ji,jj) |
---|
| 519 | ! add to the general momentum trend |
---|
| 520 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) + zuap |
---|
| 521 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) + zvap |
---|
| 522 | END DO |
---|
| 523 | END DO |
---|
| 524 | END DO |
---|
[503] | 525 | ! |
---|
[455] | 526 | END SUBROUTINE hpg_hel |
---|
| 527 | |
---|
| 528 | |
---|
| 529 | SUBROUTINE hpg_wdj( kt ) |
---|
| 530 | !!--------------------------------------------------------------------- |
---|
| 531 | !! *** ROUTINE hpg_wdj *** |
---|
| 532 | !! |
---|
| 533 | !! ** Method : Weighted Density Jacobian (wdj) scheme (song 1998) |
---|
| 534 | !! The weighting coefficients from the namelist parameter gamm |
---|
| 535 | !! (alpha=0.5-gamm ; beta=1-alpha=0.5+gamm) |
---|
| 536 | !! |
---|
| 537 | !! Reference : Song, Mon. Wea. Rev., 126, 3213-3230, 1998. |
---|
[503] | 538 | !!---------------------------------------------------------------------- |
---|
| 539 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 540 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
[455] | 541 | !! |
---|
[503] | 542 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 543 | !! |
---|
| 544 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 545 | REAL(wp) :: zcoef0, zuap, zvap ! temporary scalars |
---|
| 546 | REAL(wp) :: zalph , zbeta ! " " |
---|
[455] | 547 | !!---------------------------------------------------------------------- |
---|
| 548 | |
---|
| 549 | IF( kt == nit000 ) THEN |
---|
| 550 | IF(lwp) WRITE(numout,*) |
---|
| 551 | IF(lwp) WRITE(numout,*) 'dyn:hpg_wdj : hydrostatic pressure gradient trend' |
---|
| 552 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ Weighted Density Jacobian' |
---|
| 553 | ENDIF |
---|
| 554 | |
---|
| 555 | ! Local constant initialization |
---|
| 556 | zcoef0 = - grav * 0.5 |
---|
| 557 | zalph = 0.5 - gamm ! weighting coefficients (alpha=0.5-gamm) |
---|
| 558 | zbeta = 0.5 + gamm ! (beta =1-alpha=0.5+gamm) |
---|
| 559 | |
---|
| 560 | ! Surface value (no ponderation) |
---|
| 561 | DO jj = 2, jpjm1 |
---|
| 562 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 563 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 564 | zhpi(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( fse3w(ji+1,jj ,1) * rhd(ji+1,jj ,1) & |
---|
| 565 | & - fse3w(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 566 | zhpj(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( fse3w(ji ,jj+1,1) * rhd(ji ,jj+1,1) & |
---|
| 567 | & - fse3w(ji ,jj ,1) * rhd(ji, jj ,1) ) |
---|
| 568 | ! s-coordinate pressure gradient correction |
---|
| 569 | zuap = -zcoef0 * ( rhd (ji+1,jj,1) + rhd (ji,jj,1) ) & |
---|
| 570 | & * ( fsde3w(ji+1,jj,1) - fsde3w(ji,jj,1) ) / e1u(ji,jj) |
---|
| 571 | zvap = -zcoef0 * ( rhd (ji,jj+1,1) + rhd (ji,jj,1) ) & |
---|
| 572 | & * ( fsde3w(ji,jj+1,1) - fsde3w(ji,jj,1) ) / e2v(ji,jj) |
---|
| 573 | ! add to the general momentum trend |
---|
| 574 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) + zuap |
---|
| 575 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) + zvap |
---|
| 576 | END DO |
---|
| 577 | END DO |
---|
| 578 | |
---|
| 579 | ! Interior value (2=<jk=<jpkm1) (weighted with zalph & zbeta) |
---|
| 580 | DO jk = 2, jpkm1 |
---|
| 581 | DO jj = 2, jpjm1 |
---|
| 582 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 583 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) + zcoef0 / e1u(ji,jj) & |
---|
| 584 | & * ( ( fsde3w(ji+1,jj,jk ) + fsde3w(ji,jj,jk ) & |
---|
| 585 | & - fsde3w(ji+1,jj,jk-1) - fsde3w(ji,jj,jk-1) ) & |
---|
| 586 | & * ( zalph * ( rhd (ji+1,jj,jk-1) - rhd (ji,jj,jk-1) ) & |
---|
| 587 | & + zbeta * ( rhd (ji+1,jj,jk ) - rhd (ji,jj,jk ) ) ) & |
---|
| 588 | & - ( rhd (ji+1,jj,jk ) + rhd (ji,jj,jk ) & |
---|
| 589 | & - rhd (ji+1,jj,jk-1) - rhd (ji,jj,jk-1) ) & |
---|
| 590 | & * ( zalph * ( fsde3w(ji+1,jj,jk-1) - fsde3w(ji,jj,jk-1) ) & |
---|
| 591 | & + zbeta * ( fsde3w(ji+1,jj,jk ) - fsde3w(ji,jj,jk ) ) ) ) |
---|
| 592 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) + zcoef0 / e2v(ji,jj) & |
---|
| 593 | & * ( ( fsde3w(ji,jj+1,jk ) + fsde3w(ji,jj,jk ) & |
---|
| 594 | & - fsde3w(ji,jj+1,jk-1) - fsde3w(ji,jj,jk-1) ) & |
---|
| 595 | & * ( zalph * ( rhd (ji,jj+1,jk-1) - rhd (ji,jj,jk-1) ) & |
---|
| 596 | & + zbeta * ( rhd (ji,jj+1,jk ) - rhd (ji,jj,jk ) ) ) & |
---|
| 597 | & - ( rhd (ji,jj+1,jk ) + rhd (ji,jj,jk ) & |
---|
| 598 | & - rhd (ji,jj+1,jk-1) - rhd (ji,jj,jk-1) ) & |
---|
| 599 | & * ( zalph * ( fsde3w(ji,jj+1,jk-1) - fsde3w(ji,jj,jk-1) ) & |
---|
| 600 | & + zbeta * ( fsde3w(ji,jj+1,jk ) - fsde3w(ji,jj,jk ) ) ) ) |
---|
[3] | 601 | ! add to the general momentum trend |
---|
| 602 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
---|
| 603 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
---|
[455] | 604 | END DO |
---|
[3] | 605 | END DO |
---|
| 606 | END DO |
---|
[503] | 607 | ! |
---|
[455] | 608 | END SUBROUTINE hpg_wdj |
---|
[216] | 609 | |
---|
[455] | 610 | |
---|
| 611 | SUBROUTINE hpg_djc( kt ) |
---|
| 612 | !!--------------------------------------------------------------------- |
---|
| 613 | !! *** ROUTINE hpg_djc *** |
---|
| 614 | !! |
---|
| 615 | !! ** Method : Density Jacobian with Cubic polynomial scheme |
---|
| 616 | !! |
---|
[503] | 617 | !! Reference: Shchepetkin and McWilliams, J. Geophys. Res., 108(C3), 3090, 2003 |
---|
[455] | 618 | !!---------------------------------------------------------------------- |
---|
[503] | 619 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 620 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
| 621 | !! |
---|
| 622 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 623 | !! |
---|
| 624 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 625 | REAL(wp) :: zcoef0, zep, cffw ! temporary scalars |
---|
| 626 | REAL(wp) :: z1_10, cffu, cffx ! " " |
---|
| 627 | REAL(wp) :: z1_12, cffv, cffy ! " " |
---|
| 628 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: drhox, dzx, drhou, dzu, rho_i ! 3D workspace |
---|
| 629 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: drhoy, dzy, drhov, dzv, rho_j ! " " |
---|
| 630 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: drhoz, dzz, drhow, dzw, rho_k ! " " |
---|
[455] | 631 | !!---------------------------------------------------------------------- |
---|
| 632 | |
---|
| 633 | IF( kt == nit000 ) THEN |
---|
| 634 | IF(lwp) WRITE(numout,*) |
---|
| 635 | IF(lwp) WRITE(numout,*) 'dyn:hpg_djc : hydrostatic pressure gradient trend' |
---|
| 636 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, density Jacobian with cubic polynomial scheme' |
---|
[216] | 637 | ENDIF |
---|
| 638 | |
---|
[455] | 639 | |
---|
[503] | 640 | ! Local constant initialization |
---|
[455] | 641 | zcoef0 = - grav * 0.5 |
---|
| 642 | z1_10 = 1.0 / 10.0 |
---|
| 643 | z1_12 = 1.0 / 12.0 |
---|
| 644 | |
---|
| 645 | !---------------------------------------------------------------------------------------- |
---|
| 646 | ! compute and store in provisional arrays elementary vertical and horizontal differences |
---|
| 647 | !---------------------------------------------------------------------------------------- |
---|
| 648 | |
---|
| 649 | !!bug gm Not a true bug, but... dzz=e3w for dzx, dzy verify what it is really |
---|
| 650 | |
---|
| 651 | DO jk = 2, jpkm1 |
---|
| 652 | DO jj = 2, jpjm1 |
---|
| 653 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 654 | drhoz(ji,jj,jk) = rhd (ji ,jj ,jk) - rhd (ji,jj,jk-1) |
---|
| 655 | dzz (ji,jj,jk) = fsde3w(ji ,jj ,jk) - fsde3w(ji,jj,jk-1) |
---|
| 656 | drhox(ji,jj,jk) = rhd (ji+1,jj ,jk) - rhd (ji,jj,jk ) |
---|
| 657 | dzx (ji,jj,jk) = fsde3w(ji+1,jj ,jk) - fsde3w(ji,jj,jk ) |
---|
| 658 | drhoy(ji,jj,jk) = rhd (ji ,jj+1,jk) - rhd (ji,jj,jk ) |
---|
| 659 | dzy (ji,jj,jk) = fsde3w(ji ,jj+1,jk) - fsde3w(ji,jj,jk ) |
---|
| 660 | END DO |
---|
| 661 | END DO |
---|
| 662 | END DO |
---|
| 663 | |
---|
| 664 | !------------------------------------------------------------------------- |
---|
| 665 | ! compute harmonic averages using eq. 5.18 |
---|
| 666 | !------------------------------------------------------------------------- |
---|
| 667 | zep = 1.e-15 |
---|
| 668 | |
---|
[503] | 669 | !!bug gm drhoz not defined at level 1 and used (jk-1 with jk=2) |
---|
| 670 | !!bug gm idem for drhox, drhoy et ji=jpi and jj=jpj |
---|
[455] | 671 | |
---|
| 672 | DO jk = 2, jpkm1 |
---|
| 673 | DO jj = 2, jpjm1 |
---|
| 674 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 675 | cffw = 2.0 * drhoz(ji ,jj ,jk) * drhoz(ji,jj,jk-1) |
---|
| 676 | |
---|
| 677 | cffu = 2.0 * drhox(ji+1,jj ,jk) * drhox(ji,jj,jk ) |
---|
| 678 | cffx = 2.0 * dzx (ji+1,jj ,jk) * dzx (ji,jj,jk ) |
---|
| 679 | |
---|
| 680 | cffv = 2.0 * drhoy(ji ,jj+1,jk) * drhoy(ji,jj,jk ) |
---|
| 681 | cffy = 2.0 * dzy (ji ,jj+1,jk) * dzy (ji,jj,jk ) |
---|
| 682 | |
---|
| 683 | IF( cffw > zep) THEN |
---|
| 684 | drhow(ji,jj,jk) = 2.0 * drhoz(ji,jj,jk) * drhoz(ji,jj,jk-1) & |
---|
| 685 | & / ( drhoz(ji,jj,jk) + drhoz(ji,jj,jk-1) ) |
---|
| 686 | ELSE |
---|
| 687 | drhow(ji,jj,jk) = 0.e0 |
---|
| 688 | ENDIF |
---|
| 689 | |
---|
| 690 | dzw(ji,jj,jk) = 2.0 * dzz(ji,jj,jk) * dzz(ji,jj,jk-1) & |
---|
| 691 | & / ( dzz(ji,jj,jk) + dzz(ji,jj,jk-1) ) |
---|
| 692 | |
---|
| 693 | IF( cffu > zep ) THEN |
---|
| 694 | drhou(ji,jj,jk) = 2.0 * drhox(ji+1,jj,jk) * drhox(ji,jj,jk) & |
---|
| 695 | & / ( drhox(ji+1,jj,jk) + drhox(ji,jj,jk) ) |
---|
| 696 | ELSE |
---|
| 697 | drhou(ji,jj,jk ) = 0.e0 |
---|
| 698 | ENDIF |
---|
| 699 | |
---|
| 700 | IF( cffx > zep ) THEN |
---|
| 701 | dzu(ji,jj,jk) = 2.0*dzx(ji+1,jj,jk)*dzx(ji,jj,jk) & |
---|
| 702 | & /(dzx(ji+1,jj,jk)+dzx(ji,jj,jk)) |
---|
| 703 | ELSE |
---|
| 704 | dzu(ji,jj,jk) = 0.e0 |
---|
| 705 | ENDIF |
---|
| 706 | |
---|
| 707 | IF( cffv > zep ) THEN |
---|
| 708 | drhov(ji,jj,jk) = 2.0 * drhoy(ji,jj+1,jk) * drhoy(ji,jj,jk) & |
---|
| 709 | & / ( drhoy(ji,jj+1,jk) + drhoy(ji,jj,jk) ) |
---|
| 710 | ELSE |
---|
| 711 | drhov(ji,jj,jk) = 0.e0 |
---|
| 712 | ENDIF |
---|
| 713 | |
---|
| 714 | IF( cffy > zep ) THEN |
---|
| 715 | dzv(ji,jj,jk) = 2.0 * dzy(ji,jj+1,jk) * dzy(ji,jj,jk) & |
---|
| 716 | & / ( dzy(ji,jj+1,jk) + dzy(ji,jj,jk) ) |
---|
| 717 | ELSE |
---|
| 718 | dzv(ji,jj,jk) = 0.e0 |
---|
| 719 | ENDIF |
---|
| 720 | |
---|
| 721 | END DO |
---|
| 722 | END DO |
---|
| 723 | END DO |
---|
| 724 | |
---|
| 725 | !---------------------------------------------------------------------------------- |
---|
| 726 | ! apply boundary conditions at top and bottom using 5.36-5.37 |
---|
| 727 | !---------------------------------------------------------------------------------- |
---|
| 728 | drhow(:,:, 1 ) = 1.5 * ( drhoz(:,:, 2 ) - drhoz(:,:, 1 ) ) - 0.5 * drhow(:,:, 2 ) |
---|
| 729 | drhou(:,:, 1 ) = 1.5 * ( drhox(:,:, 2 ) - drhox(:,:, 1 ) ) - 0.5 * drhou(:,:, 2 ) |
---|
| 730 | drhov(:,:, 1 ) = 1.5 * ( drhoy(:,:, 2 ) - drhoy(:,:, 1 ) ) - 0.5 * drhov(:,:, 2 ) |
---|
| 731 | |
---|
| 732 | drhow(:,:,jpk) = 1.5 * ( drhoz(:,:,jpk) - drhoz(:,:,jpkm1) ) - 0.5 * drhow(:,:,jpkm1) |
---|
| 733 | drhou(:,:,jpk) = 1.5 * ( drhox(:,:,jpk) - drhox(:,:,jpkm1) ) - 0.5 * drhou(:,:,jpkm1) |
---|
| 734 | drhov(:,:,jpk) = 1.5 * ( drhoy(:,:,jpk) - drhoy(:,:,jpkm1) ) - 0.5 * drhov(:,:,jpkm1) |
---|
| 735 | |
---|
| 736 | |
---|
| 737 | !-------------------------------------------------------------- |
---|
| 738 | ! Upper half of top-most grid box, compute and store |
---|
| 739 | !------------------------------------------------------------- |
---|
| 740 | |
---|
| 741 | !!bug gm : e3w-de3w = 0.5*e3w .... and de3w(2)-de3w(1)=e3w(2) .... to be verified |
---|
| 742 | ! true if de3w is really defined as the sum of the e3w scale factors as, it seems to me, it should be |
---|
| 743 | |
---|
| 744 | DO jj = 2, jpjm1 |
---|
| 745 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 746 | rho_k(ji,jj,1) = -grav * ( fse3w(ji,jj,1) - fsde3w(ji,jj,1) ) & |
---|
| 747 | & * ( rhd(ji,jj,1) & |
---|
| 748 | & + 0.5 * ( rhd(ji,jj,2) - rhd(ji,jj,1) ) & |
---|
| 749 | & * ( fse3w (ji,jj,1) - fsde3w(ji,jj,1) ) & |
---|
| 750 | & / ( fsde3w(ji,jj,2) - fsde3w(ji,jj,1) ) ) |
---|
| 751 | END DO |
---|
| 752 | END DO |
---|
| 753 | |
---|
| 754 | !!bug gm : here also, simplification is possible |
---|
| 755 | !!bug gm : optimisation: 1/10 and 1/12 the division should be done before the loop |
---|
| 756 | |
---|
| 757 | DO jk = 2, jpkm1 |
---|
| 758 | DO jj = 2, jpjm1 |
---|
| 759 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 760 | |
---|
| 761 | rho_k(ji,jj,jk) = zcoef0 * ( rhd (ji,jj,jk) + rhd (ji,jj,jk-1) ) & |
---|
| 762 | & * ( fsde3w(ji,jj,jk) - fsde3w(ji,jj,jk-1) ) & |
---|
| 763 | & - grav * z1_10 * ( & |
---|
| 764 | & ( drhow (ji,jj,jk) - drhow (ji,jj,jk-1) ) & |
---|
| 765 | & * ( fsde3w(ji,jj,jk) - fsde3w(ji,jj,jk-1) - z1_12 * ( dzw (ji,jj,jk) + dzw (ji,jj,jk-1) ) ) & |
---|
| 766 | & - ( dzw (ji,jj,jk) - dzw (ji,jj,jk-1) ) & |
---|
| 767 | & * ( rhd (ji,jj,jk) - rhd (ji,jj,jk-1) - z1_12 * ( drhow(ji,jj,jk) + drhow(ji,jj,jk-1) ) ) & |
---|
| 768 | & ) |
---|
| 769 | |
---|
| 770 | rho_i(ji,jj,jk) = zcoef0 * ( rhd (ji+1,jj,jk) + rhd (ji,jj,jk) ) & |
---|
| 771 | & * ( fsde3w(ji+1,jj,jk) - fsde3w(ji,jj,jk) ) & |
---|
| 772 | & - grav* z1_10 * ( & |
---|
| 773 | & ( drhou (ji+1,jj,jk) - drhou (ji,jj,jk) ) & |
---|
| 774 | & * ( fsde3w(ji+1,jj,jk) - fsde3w(ji,jj,jk) - z1_12 * ( dzu (ji+1,jj,jk) + dzu (ji,jj,jk) ) ) & |
---|
| 775 | & - ( dzu (ji+1,jj,jk) - dzu (ji,jj,jk) ) & |
---|
| 776 | & * ( rhd (ji+1,jj,jk) - rhd (ji,jj,jk) - z1_12 * ( drhou(ji+1,jj,jk) + drhou(ji,jj,jk) ) ) & |
---|
| 777 | & ) |
---|
| 778 | |
---|
| 779 | rho_j(ji,jj,jk) = zcoef0 * ( rhd (ji,jj+1,jk) + rhd (ji,jj,jk) ) & |
---|
| 780 | & * ( fsde3w(ji,jj+1,jk) - fsde3w(ji,jj,jk) ) & |
---|
| 781 | & - grav* z1_10 * ( & |
---|
| 782 | & ( drhov (ji,jj+1,jk) - drhov (ji,jj,jk) ) & |
---|
| 783 | & * ( fsde3w(ji,jj+1,jk) - fsde3w(ji,jj,jk) - z1_12 * ( dzv (ji,jj+1,jk) + dzv (ji,jj,jk) ) ) & |
---|
| 784 | & - ( dzv (ji,jj+1,jk) - dzv (ji,jj,jk) ) & |
---|
| 785 | & * ( rhd (ji,jj+1,jk) - rhd (ji,jj,jk) - z1_12 * ( drhov(ji,jj+1,jk) + drhov(ji,jj,jk) ) ) & |
---|
| 786 | & ) |
---|
| 787 | |
---|
| 788 | END DO |
---|
| 789 | END DO |
---|
| 790 | END DO |
---|
| 791 | CALL lbc_lnk(rho_k,'W',1.) |
---|
| 792 | CALL lbc_lnk(rho_i,'U',1.) |
---|
| 793 | CALL lbc_lnk(rho_j,'V',1.) |
---|
| 794 | |
---|
| 795 | |
---|
| 796 | ! --------------- |
---|
| 797 | ! Surface value |
---|
| 798 | ! --------------- |
---|
| 799 | DO jj = 2, jpjm1 |
---|
| 800 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 801 | zhpi(ji,jj,1) = ( rho_k(ji+1,jj ,1) - rho_k(ji,jj,1) - rho_i(ji,jj,1) ) / e1u(ji,jj) |
---|
| 802 | zhpj(ji,jj,1) = ( rho_k(ji ,jj+1,1) - rho_k(ji,jj,1) - rho_j(ji,jj,1) ) / e2v(ji,jj) |
---|
| 803 | ! add to the general momentum trend |
---|
| 804 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
---|
| 805 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
---|
| 806 | END DO |
---|
| 807 | END DO |
---|
| 808 | |
---|
| 809 | ! ---------------- |
---|
| 810 | ! interior value (2=<jk=<jpkm1) |
---|
| 811 | ! ---------------- |
---|
| 812 | DO jk = 2, jpkm1 |
---|
| 813 | DO jj = 2, jpjm1 |
---|
| 814 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 815 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 816 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
---|
| 817 | & + ( ( rho_k(ji+1,jj,jk) - rho_k(ji,jj,jk ) ) & |
---|
| 818 | & - ( rho_i(ji ,jj,jk) - rho_i(ji,jj,jk-1) ) ) / e1u(ji,jj) |
---|
| 819 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
---|
| 820 | & + ( ( rho_k(ji,jj+1,jk) - rho_k(ji,jj,jk ) ) & |
---|
| 821 | & -( rho_j(ji,jj ,jk) - rho_j(ji,jj,jk-1) ) ) / e2v(ji,jj) |
---|
| 822 | ! add to the general momentum trend |
---|
| 823 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
---|
| 824 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
---|
| 825 | END DO |
---|
| 826 | END DO |
---|
| 827 | END DO |
---|
[503] | 828 | ! |
---|
[455] | 829 | END SUBROUTINE hpg_djc |
---|
| 830 | |
---|
| 831 | |
---|
| 832 | SUBROUTINE hpg_rot( kt ) |
---|
| 833 | !!--------------------------------------------------------------------- |
---|
| 834 | !! *** ROUTINE hpg_rot *** |
---|
| 835 | !! |
---|
| 836 | !! ** Method : rotated axes scheme (Thiem and Berntsen 2005) |
---|
| 837 | !! |
---|
| 838 | !! Reference: Thiem & Berntsen, Ocean Modelling, In press, 2005. |
---|
| 839 | !!---------------------------------------------------------------------- |
---|
[503] | 840 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 841 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
| 842 | !! |
---|
| 843 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 844 | !! |
---|
| 845 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 846 | REAL(wp) :: zforg, zcoef0, zuap, zmskd1, zmskd1m ! temporary scalar |
---|
| 847 | REAL(wp) :: zfrot , zvap, zmskd2, zmskd2m ! " " |
---|
| 848 | REAL(wp), DIMENSION(jpi,jpj) :: zdistr, zsina, zcosa ! 2D workspace |
---|
| 849 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpiorg, zhpirot, zhpitra, zhpine ! 3D workspace |
---|
| 850 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpjorg, zhpjrot, zhpjtra, zhpjne ! " " |
---|
[455] | 851 | !!---------------------------------------------------------------------- |
---|
| 852 | |
---|
| 853 | IF( kt == nit000 ) THEN |
---|
| 854 | IF(lwp) WRITE(numout,*) |
---|
| 855 | IF(lwp) WRITE(numout,*) 'dyn:hpg_rot : hydrostatic pressure gradient trend' |
---|
| 856 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, rotated axes scheme used' |
---|
[3] | 857 | ENDIF |
---|
| 858 | |
---|
[455] | 859 | ! ------------------------------- |
---|
| 860 | ! Local constant initialization |
---|
| 861 | ! ------------------------------- |
---|
| 862 | zcoef0 = - grav * 0.5 |
---|
| 863 | zforg = 0.95e0 |
---|
| 864 | zfrot = 1.e0 - zforg |
---|
[3] | 865 | |
---|
[455] | 866 | ! inverse of the distance between 2 diagonal T-points (defined at F-point) (here zcoef0/distance) |
---|
| 867 | zdistr(:,:) = zcoef0 / SQRT( e1f(:,:)*e1f(:,:) + e2f(:,:)*e1f(:,:) ) |
---|
[3] | 868 | |
---|
[455] | 869 | ! sinus and cosinus of diagonal angle at F-point |
---|
| 870 | zsina(:,:) = ATAN2( e2f(:,:), e1f(:,:) ) |
---|
| 871 | zcosa(:,:) = COS( zsina(:,:) ) |
---|
| 872 | zsina(:,:) = SIN( zsina(:,:) ) |
---|
| 873 | |
---|
| 874 | ! --------------- |
---|
| 875 | ! Surface value |
---|
| 876 | ! --------------- |
---|
| 877 | ! compute and add to the general trend the pressure gradients along the axes |
---|
| 878 | DO jj = 2, jpjm1 |
---|
| 879 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 880 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 881 | zhpiorg(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj,1) * rhd(ji+1,jj,1) & |
---|
| 882 | & - fse3t(ji ,jj,1) * rhd(ji ,jj,1) ) |
---|
| 883 | zhpjorg(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( fse3t(ji,jj+1,1) * rhd(ji,jj+1,1) & |
---|
| 884 | & - fse3t(ji,jj ,1) * rhd(ji,jj ,1) ) |
---|
| 885 | ! s-coordinate pressure gradient correction |
---|
| 886 | zuap = -zcoef0 * ( rhd (ji+1,jj ,1) + rhd (ji,jj,1) ) & |
---|
| 887 | & * ( fsdept(ji+1,jj ,1) - fsdept(ji,jj,1) ) / e1u(ji,jj) |
---|
| 888 | zvap = -zcoef0 * ( rhd (ji ,jj+1,1) + rhd (ji,jj,1) ) & |
---|
| 889 | & * ( fsdept(ji ,jj+1,1) - fsdept(ji,jj,1) ) / e2v(ji,jj) |
---|
| 890 | ! add to the general momentum trend |
---|
| 891 | ua(ji,jj,1) = ua(ji,jj,1) + zforg * ( zhpiorg(ji,jj,1) + zuap ) |
---|
| 892 | va(ji,jj,1) = va(ji,jj,1) + zforg * ( zhpjorg(ji,jj,1) + zvap ) |
---|
| 893 | END DO |
---|
| 894 | END DO |
---|
| 895 | |
---|
| 896 | ! compute the pressure gradients in the diagonal directions |
---|
| 897 | DO jj = 1, jpjm1 |
---|
| 898 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 899 | zmskd1 = tmask(ji+1,jj+1,1) * tmask(ji ,jj,1) ! mask in the 1st diagnonal |
---|
| 900 | zmskd2 = tmask(ji ,jj+1,1) * tmask(ji+1,jj,1) ! mask in the 2nd diagnonal |
---|
| 901 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 902 | zhpitra(ji,jj,1) = zdistr(ji,jj) * zmskd1 * ( fse3t(ji+1,jj+1,1) * rhd(ji+1,jj+1,1) & |
---|
| 903 | & - fse3t(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 904 | zhpjtra(ji,jj,1) = zdistr(ji,jj) * zmskd2 * ( fse3t(ji ,jj+1,1) * rhd(ji ,jj+1,1) & |
---|
| 905 | & - fse3t(ji+1,jj ,1) * rhd(ji+1,jj ,1) ) |
---|
| 906 | ! s-coordinate pressure gradient correction |
---|
| 907 | zuap = -zdistr(ji,jj) * zmskd1 * ( rhd (ji+1,jj+1,1) + rhd (ji ,jj,1) ) & |
---|
| 908 | & * ( fsdept(ji+1,jj+1,1) - fsdept(ji ,jj,1) ) |
---|
| 909 | zvap = -zdistr(ji,jj) * zmskd2 * ( rhd (ji ,jj+1,1) + rhd (ji+1,jj,1) ) & |
---|
| 910 | & * ( fsdept(ji ,jj+1,1) - fsdept(ji+1,jj,1) ) |
---|
| 911 | ! back rotation |
---|
| 912 | zhpine(ji,jj,1) = zcosa(ji,jj) * ( zhpitra(ji,jj,1) + zuap ) & |
---|
| 913 | & - zsina(ji,jj) * ( zhpjtra(ji,jj,1) + zvap ) |
---|
| 914 | zhpjne(ji,jj,1) = zsina(ji,jj) * ( zhpitra(ji,jj,1) + zuap ) & |
---|
| 915 | & + zcosa(ji,jj) * ( zhpjtra(ji,jj,1) + zvap ) |
---|
| 916 | END DO |
---|
| 917 | END DO |
---|
| 918 | |
---|
| 919 | ! interpolate and add to the general trend the diagonal gradient |
---|
| 920 | DO jj = 2, jpjm1 |
---|
| 921 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 922 | ! averaging |
---|
| 923 | zhpirot(ji,jj,1) = 0.5 * ( zhpine(ji,jj,1) + zhpine(ji ,jj-1,1) ) |
---|
| 924 | zhpjrot(ji,jj,1) = 0.5 * ( zhpjne(ji,jj,1) + zhpjne(ji-1,jj ,1) ) |
---|
| 925 | ! add to the general momentum trend |
---|
| 926 | ua(ji,jj,1) = ua(ji,jj,1) + zfrot * zhpirot(ji,jj,1) |
---|
| 927 | va(ji,jj,1) = va(ji,jj,1) + zfrot * zhpjrot(ji,jj,1) |
---|
| 928 | END DO |
---|
| 929 | END DO |
---|
| 930 | |
---|
| 931 | ! ----------------- |
---|
| 932 | ! 2. interior value (2=<jk=<jpkm1) |
---|
| 933 | ! ----------------- |
---|
| 934 | ! compute and add to the general trend the pressure gradients along the axes |
---|
| 935 | DO jk = 2, jpkm1 |
---|
| 936 | DO jj = 2, jpjm1 |
---|
| 937 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 938 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 939 | zhpiorg(ji,jj,jk) = zhpiorg(ji,jj,jk-1) & |
---|
| 940 | & + zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj,jk ) * rhd(ji+1,jj,jk ) & |
---|
| 941 | & - fse3t(ji ,jj,jk ) * rhd(ji ,jj,jk ) & |
---|
| 942 | & + fse3t(ji+1,jj,jk-1) * rhd(ji+1,jj,jk-1) & |
---|
| 943 | & - fse3t(ji ,jj,jk-1) * rhd(ji ,jj,jk-1) ) |
---|
| 944 | zhpjorg(ji,jj,jk) = zhpjorg(ji,jj,jk-1) & |
---|
| 945 | & + zcoef0 / e2v(ji,jj) * ( fse3t(ji,jj+1,jk ) * rhd(ji,jj+1,jk ) & |
---|
| 946 | & - fse3t(ji,jj ,jk ) * rhd(ji,jj, jk ) & |
---|
| 947 | & + fse3t(ji,jj+1,jk-1) * rhd(ji,jj+1,jk-1) & |
---|
| 948 | & - fse3t(ji,jj ,jk-1) * rhd(ji,jj, jk-1) ) |
---|
| 949 | ! s-coordinate pressure gradient correction |
---|
| 950 | zuap = - zcoef0 * ( rhd (ji+1,jj ,jk) + rhd (ji,jj,jk) ) & |
---|
| 951 | & * ( fsdept(ji+1,jj ,jk) - fsdept(ji,jj,jk) ) / e1u(ji,jj) |
---|
| 952 | zvap = - zcoef0 * ( rhd (ji ,jj+1,jk) + rhd (ji,jj,jk) ) & |
---|
| 953 | & * ( fsdept(ji ,jj+1,jk) - fsdept(ji,jj,jk) ) / e2v(ji,jj) |
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| 954 | ! add to the general momentum trend |
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| 955 | ua(ji,jj,jk) = ua(ji,jj,jk) + zforg*( zhpiorg(ji,jj,jk) + zuap ) |
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| 956 | va(ji,jj,jk) = va(ji,jj,jk) + zforg*( zhpjorg(ji,jj,jk) + zvap ) |
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| 957 | END DO |
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| 958 | END DO |
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| 959 | END DO |
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| 960 | |
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| 961 | ! compute the pressure gradients in the diagonal directions |
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| 962 | DO jk = 2, jpkm1 |
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| 963 | DO jj = 1, jpjm1 |
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| 964 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 965 | zmskd1 = tmask(ji+1,jj+1,jk ) * tmask(ji ,jj,jk ) ! level jk mask in the 1st diagnonal |
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| 966 | zmskd1m = tmask(ji+1,jj+1,jk-1) * tmask(ji ,jj,jk-1) ! level jk-1 " " |
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| 967 | zmskd2 = tmask(ji ,jj+1,jk ) * tmask(ji+1,jj,jk ) ! level jk mask in the 2nd diagnonal |
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| 968 | zmskd2m = tmask(ji ,jj+1,jk-1) * tmask(ji+1,jj,jk-1) ! level jk-1 " " |
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| 969 | ! hydrostatic pressure gradient along s-surfaces |
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| 970 | zhpitra(ji,jj,jk) = zhpitra(ji,jj,jk-1) & |
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| 971 | & + zdistr(ji,jj) * zmskd1 * ( fse3t(ji+1,jj+1,jk ) * rhd(ji+1,jj+1,jk) & |
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| 972 | & -fse3t(ji ,jj ,jk ) * rhd(ji ,jj ,jk) ) & |
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| 973 | & + zdistr(ji,jj) * zmskd1m * ( fse3t(ji+1,jj+1,jk-1) * rhd(ji+1,jj+1,jk-1) & |
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| 974 | & -fse3t(ji ,jj ,jk-1) * rhd(ji ,jj ,jk-1) ) |
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| 975 | zhpjtra(ji,jj,jk) = zhpjtra(ji,jj,jk-1) & |
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| 976 | & + zdistr(ji,jj) * zmskd2 * ( fse3t(ji ,jj+1,jk ) * rhd(ji ,jj+1,jk) & |
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| 977 | & -fse3t(ji+1,jj ,jk ) * rhd(ji+1,jj, jk) ) & |
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| 978 | & + zdistr(ji,jj) * zmskd2m * ( fse3t(ji ,jj+1,jk-1) * rhd(ji ,jj+1,jk-1) & |
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| 979 | & -fse3t(ji+1,jj ,jk-1) * rhd(ji+1,jj, jk-1) ) |
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| 980 | ! s-coordinate pressure gradient correction |
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| 981 | zuap = - zdistr(ji,jj) * zmskd1 * ( rhd (ji+1,jj+1,jk) + rhd (ji ,jj,jk) ) & |
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| 982 | & * ( fsdept(ji+1,jj+1,jk) - fsdept(ji ,jj,jk) ) |
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| 983 | zvap = - zdistr(ji,jj) * zmskd2 * ( rhd (ji ,jj+1,jk) + rhd (ji+1,jj,jk) ) & |
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| 984 | & * ( fsdept(ji ,jj+1,jk) - fsdept(ji+1,jj,jk) ) |
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| 985 | ! back rotation |
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| 986 | zhpine(ji,jj,jk) = zcosa(ji,jj) * ( zhpitra(ji,jj,jk) + zuap ) & |
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| 987 | & - zsina(ji,jj) * ( zhpjtra(ji,jj,jk) + zvap ) |
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| 988 | zhpjne(ji,jj,jk) = zsina(ji,jj) * ( zhpitra(ji,jj,jk) + zuap ) & |
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| 989 | & + zcosa(ji,jj) * ( zhpjtra(ji,jj,jk) + zvap ) |
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| 990 | END DO |
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| 991 | END DO |
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| 992 | END DO |
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| 993 | |
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| 994 | ! interpolate and add to the general trend |
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| 995 | DO jk = 2, jpkm1 |
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| 996 | DO jj = 2, jpjm1 |
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| 997 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 998 | ! averaging |
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| 999 | zhpirot(ji,jj,jk) = 0.5 * ( zhpine(ji,jj,jk) + zhpine(ji ,jj-1,jk) ) |
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| 1000 | zhpjrot(ji,jj,jk) = 0.5 * ( zhpjne(ji,jj,jk) + zhpjne(ji-1,jj ,jk) ) |
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| 1001 | ! add to the general momentum trend |
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| 1002 | ua(ji,jj,jk) = ua(ji,jj,jk) + zfrot * zhpirot(ji,jj,jk) |
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| 1003 | va(ji,jj,jk) = va(ji,jj,jk) + zfrot * zhpjrot(ji,jj,jk) |
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| 1004 | END DO |
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| 1005 | END DO |
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| 1006 | END DO |
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[503] | 1007 | ! |
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[455] | 1008 | END SUBROUTINE hpg_rot |
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| 1009 | |
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[3] | 1010 | !!====================================================================== |
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| 1011 | END MODULE dynhpg |
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