[3] | 1 | MODULE dynhpg |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE dynhpg *** |
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| 4 | !! Ocean dynamics: hydrostatic pressure gradient trend |
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| 5 | !!====================================================================== |
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[2528] | 6 | !! History : OPA ! 1987-09 (P. Andrich, M.-A. Foujols) hpg_zco: Original code |
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| 7 | !! 5.0 ! 1991-11 (G. Madec) |
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| 8 | !! 7.0 ! 1996-01 (G. Madec) hpg_sco: Original code for s-coordinates |
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| 9 | !! 8.0 ! 1997-05 (G. Madec) split dynber into dynkeg and dynhpg |
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| 10 | !! 8.5 ! 2002-07 (G. Madec) F90: Free form and module |
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| 11 | !! 8.5 ! 2002-08 (A. Bozec) hpg_zps: Original code |
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| 12 | !! NEMO 1.0 ! 2005-10 (A. Beckmann, B.W. An) various s-coordinate options |
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[3764] | 13 | !! ! Original code for hpg_ctl, hpg_hel hpg_wdj, hpg_djc, hpg_rot |
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[2528] | 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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[3294] | 16 | !! 3.4 ! 2011-11 (H. Liu) hpg_prj: Original code for s-coordinates |
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| 17 | !! ! (A. Coward) suppression of hel, wdj and rot options |
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[5120] | 18 | !! 3.6 ! 2014-11 (P. Mathiot) hpg_isf: original code for ice shelf cavity |
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[503] | 19 | !!---------------------------------------------------------------------- |
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[3] | 20 | |
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| 21 | !!---------------------------------------------------------------------- |
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[455] | 22 | !! dyn_hpg : update the momentum trend with the now horizontal |
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[3] | 23 | !! gradient of the hydrostatic pressure |
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[2528] | 24 | !! dyn_hpg_init : initialisation and control of options |
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[455] | 25 | !! hpg_zco : z-coordinate scheme |
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| 26 | !! hpg_zps : z-coordinate plus partial steps (interpolation) |
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| 27 | !! hpg_sco : s-coordinate (standard jacobian formulation) |
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[5120] | 28 | !! hpg_isf : s-coordinate (sco formulation) adapted to ice shelf |
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[455] | 29 | !! hpg_djc : s-coordinate (Density Jacobian with Cubic polynomial) |
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[3294] | 30 | !! hpg_prj : s-coordinate (Pressure Jacobian with Cubic polynomial) |
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[3] | 31 | !!---------------------------------------------------------------------- |
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| 32 | USE oce ! ocean dynamics and tracers |
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[11987] | 33 | USE isf_oce , ONLY : risfload ! ice shelf (risfload variable) |
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| 34 | USE isfload , ONLY : isf_load ! ice shelf (isf_load routine ) |
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[4990] | 35 | USE sbc_oce ! surface variable (only for the flag with ice shelf) |
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[3] | 36 | USE dom_oce ! ocean space and time domain |
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[6152] | 37 | USE wet_dry ! wetting and drying |
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[3] | 38 | USE phycst ! physical constants |
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[4990] | 39 | USE trd_oce ! trends: ocean variables |
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| 40 | USE trddyn ! trend manager: dynamics |
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[5930] | 41 | !jc USE zpshde ! partial step: hor. derivative (zps_hde routine) |
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[4990] | 42 | ! |
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[2715] | 43 | USE in_out_manager ! I/O manager |
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[258] | 44 | USE prtctl ! Print control |
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[4990] | 45 | USE lbclnk ! lateral boundary condition |
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[2715] | 46 | USE lib_mpp ! MPP library |
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[4990] | 47 | USE eosbn2 ! compute density |
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[3294] | 48 | USE timing ! Timing |
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[6140] | 49 | USE iom |
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[3] | 50 | |
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| 51 | IMPLICIT NONE |
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| 52 | PRIVATE |
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| 53 | |
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[2528] | 54 | PUBLIC dyn_hpg ! routine called by step module |
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| 55 | PUBLIC dyn_hpg_init ! routine called by opa module |
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[3] | 56 | |
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[9490] | 57 | ! !!* Namelist namdyn_hpg : hydrostatic pressure gradient |
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| 58 | LOGICAL, PUBLIC :: ln_hpg_zco !: z-coordinate - full steps |
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| 59 | LOGICAL, PUBLIC :: ln_hpg_zps !: z-coordinate - partial steps (interpolation) |
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| 60 | LOGICAL, PUBLIC :: ln_hpg_sco !: s-coordinate (standard jacobian formulation) |
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| 61 | LOGICAL, PUBLIC :: ln_hpg_djc !: s-coordinate (Density Jacobian with Cubic polynomial) |
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| 62 | LOGICAL, PUBLIC :: ln_hpg_prj !: s-coordinate (Pressure Jacobian scheme) |
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| 63 | LOGICAL, PUBLIC :: ln_hpg_isf !: s-coordinate similar to sco modify for isf |
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[455] | 64 | |
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[9490] | 65 | ! !! Flag to control the type of hydrostatic pressure gradient |
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| 66 | INTEGER, PARAMETER :: np_ERROR =-10 ! error in specification of lateral diffusion |
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| 67 | INTEGER, PARAMETER :: np_zco = 0 ! z-coordinate - full steps |
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| 68 | INTEGER, PARAMETER :: np_zps = 1 ! z-coordinate - partial steps (interpolation) |
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| 69 | INTEGER, PARAMETER :: np_sco = 2 ! s-coordinate (standard jacobian formulation) |
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| 70 | INTEGER, PARAMETER :: np_djc = 3 ! s-coordinate (Density Jacobian with Cubic polynomial) |
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| 71 | INTEGER, PARAMETER :: np_prj = 4 ! s-coordinate (Pressure Jacobian scheme) |
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| 72 | INTEGER, PARAMETER :: np_isf = 5 ! s-coordinate similar to sco modify for isf |
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| 73 | ! |
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| 74 | INTEGER, PUBLIC :: nhpg !: type of pressure gradient scheme used ! (deduced from ln_hpg_... flags) (PUBLIC for TAM) |
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[455] | 75 | |
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[3] | 76 | !! * Substitutions |
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| 77 | # include "vectopt_loop_substitute.h90" |
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| 78 | !!---------------------------------------------------------------------- |
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[9598] | 79 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[2528] | 80 | !! $Id$ |
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[10068] | 81 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[3] | 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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[3764] | 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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[3764] | 91 | !! |
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[455] | 92 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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[4990] | 93 | !! - send trends to trd_dyn for futher diagnostics (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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[9019] | 96 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: ztrdu, ztrdv |
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[455] | 97 | !!---------------------------------------------------------------------- |
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[2528] | 98 | ! |
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[9019] | 99 | IF( ln_timing ) CALL timing_start('dyn_hpg') |
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[2715] | 100 | ! |
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[503] | 101 | IF( l_trddyn ) THEN ! Temporary saving of ua and va trends (l_trddyn) |
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[9019] | 102 | ALLOCATE( ztrdu(jpi,jpj,jpk) , ztrdv(jpi,jpj,jpk) ) |
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[7753] | 103 | ztrdu(:,:,:) = ua(:,:,:) |
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| 104 | ztrdv(:,:,:) = va(:,:,:) |
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[3764] | 105 | ENDIF |
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[2528] | 106 | ! |
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[3294] | 107 | SELECT CASE ( nhpg ) ! Hydrostatic pressure gradient computation |
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[9490] | 108 | CASE ( np_zco ) ; CALL hpg_zco ( kt ) ! z-coordinate |
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| 109 | CASE ( np_zps ) ; CALL hpg_zps ( kt ) ! z-coordinate plus partial steps (interpolation) |
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| 110 | CASE ( np_sco ) ; CALL hpg_sco ( kt ) ! s-coordinate (standard jacobian formulation) |
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| 111 | CASE ( np_djc ) ; CALL hpg_djc ( kt ) ! s-coordinate (Density Jacobian with Cubic polynomial) |
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| 112 | CASE ( np_prj ) ; CALL hpg_prj ( kt ) ! s-coordinate (Pressure Jacobian scheme) |
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| 113 | CASE ( np_isf ) ; CALL hpg_isf ( kt ) ! s-coordinate similar to sco modify for ice shelf |
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[455] | 114 | END SELECT |
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[2528] | 115 | ! |
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[503] | 116 | IF( l_trddyn ) THEN ! save the hydrostatic pressure gradient trends for momentum trend diagnostics |
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[7753] | 117 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 118 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[4990] | 119 | CALL trd_dyn( ztrdu, ztrdv, jpdyn_hpg, kt ) |
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[9019] | 120 | DEALLOCATE( ztrdu , ztrdv ) |
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[3764] | 121 | ENDIF |
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[503] | 122 | ! |
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| 123 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' hpg - Ua: ', mask1=umask, & |
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| 124 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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| 125 | ! |
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[9019] | 126 | IF( ln_timing ) CALL timing_stop('dyn_hpg') |
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[2715] | 127 | ! |
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[455] | 128 | END SUBROUTINE dyn_hpg |
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| 129 | |
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| 130 | |
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[2528] | 131 | SUBROUTINE dyn_hpg_init |
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[455] | 132 | !!---------------------------------------------------------------------- |
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[2528] | 133 | !! *** ROUTINE dyn_hpg_init *** |
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[455] | 134 | !! |
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| 135 | !! ** Purpose : initializations for the hydrostatic pressure gradient |
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| 136 | !! computation and consistency control |
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| 137 | !! |
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[1601] | 138 | !! ** Action : Read the namelist namdyn_hpg and check the consistency |
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[455] | 139 | !! with the type of vertical coordinate used (zco, zps, sco) |
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| 140 | !!---------------------------------------------------------------------- |
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| 141 | INTEGER :: ioptio = 0 ! temporary integer |
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[4147] | 142 | INTEGER :: ios ! Local integer output status for namelist read |
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[1601] | 143 | !! |
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[6140] | 144 | INTEGER :: ji, jj, jk, ikt ! dummy loop indices ISF |
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| 145 | REAL(wp) :: znad |
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[9019] | 146 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: zts_top, zrhd ! hypothesys on isf density |
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| 147 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zrhdtop_isf ! density at bottom of ISF |
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| 148 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: ziceload ! density at bottom of ISF |
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[6140] | 149 | !! |
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[3294] | 150 | NAMELIST/namdyn_hpg/ ln_hpg_zco, ln_hpg_zps, ln_hpg_sco, & |
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[5930] | 151 | & ln_hpg_djc, ln_hpg_prj, ln_hpg_isf |
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[455] | 152 | !!---------------------------------------------------------------------- |
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[2528] | 153 | ! |
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[4147] | 154 | REWIND( numnam_ref ) ! Namelist namdyn_hpg in reference namelist : Hydrostatic pressure gradient |
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| 155 | READ ( numnam_ref, namdyn_hpg, IOSTAT = ios, ERR = 901) |
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[6140] | 156 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namdyn_hpg in reference namelist', lwp ) |
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| 157 | ! |
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[4147] | 158 | REWIND( numnam_cfg ) ! Namelist namdyn_hpg in configuration namelist : Hydrostatic pressure gradient |
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| 159 | READ ( numnam_cfg, namdyn_hpg, IOSTAT = ios, ERR = 902 ) |
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[9168] | 160 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namdyn_hpg in configuration namelist', lwp ) |
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[4624] | 161 | IF(lwm) WRITE ( numond, namdyn_hpg ) |
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[2528] | 162 | ! |
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| 163 | IF(lwp) THEN ! Control print |
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[455] | 164 | WRITE(numout,*) |
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[2528] | 165 | WRITE(numout,*) 'dyn_hpg_init : hydrostatic pressure gradient initialisation' |
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| 166 | WRITE(numout,*) '~~~~~~~~~~~~' |
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[1601] | 167 | WRITE(numout,*) ' Namelist namdyn_hpg : choice of hpg scheme' |
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| 168 | WRITE(numout,*) ' z-coord. - full steps ln_hpg_zco = ', ln_hpg_zco |
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| 169 | WRITE(numout,*) ' z-coord. - partial steps (interpolation) ln_hpg_zps = ', ln_hpg_zps |
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| 170 | WRITE(numout,*) ' s-coord. (standard jacobian formulation) ln_hpg_sco = ', ln_hpg_sco |
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[5120] | 171 | WRITE(numout,*) ' s-coord. (standard jacobian formulation) for isf ln_hpg_isf = ', ln_hpg_isf |
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[1601] | 172 | WRITE(numout,*) ' s-coord. (Density Jacobian: Cubic polynomial) ln_hpg_djc = ', ln_hpg_djc |
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[3294] | 173 | WRITE(numout,*) ' s-coord. (Pressure Jacobian: Cubic polynomial) ln_hpg_prj = ', ln_hpg_prj |
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[455] | 174 | ENDIF |
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[2528] | 175 | ! |
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[3294] | 176 | IF( ln_hpg_djc ) & |
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[9019] | 177 | & CALL ctl_stop('dyn_hpg_init : Density Jacobian: Cubic polynominal method', & |
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| 178 | & ' currently disabled (bugs under investigation).' , & |
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| 179 | & ' Please select either ln_hpg_sco or ln_hpg_prj instead' ) |
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| 180 | ! |
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| 181 | IF( .NOT.ln_linssh .AND. .NOT.(ln_hpg_sco.OR.ln_hpg_prj.OR.ln_hpg_isf) ) & |
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| 182 | & CALL ctl_stop('dyn_hpg_init : non-linear free surface requires either ', & |
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| 183 | & ' the standard jacobian formulation hpg_sco or ' , & |
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| 184 | & ' the pressure jacobian formulation hpg_prj' ) |
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| 185 | ! |
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| 186 | IF( ln_hpg_isf ) THEN |
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| 187 | IF( .NOT. ln_isfcav ) CALL ctl_stop( ' hpg_isf not available if ln_isfcav = false ' ) |
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| 188 | ELSE |
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| 189 | IF( ln_isfcav ) CALL ctl_stop( 'Only hpg_isf has been corrected to work with ice shelf cavity.' ) |
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| 190 | ENDIF |
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[2528] | 191 | ! |
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[9490] | 192 | ! ! Set nhpg from ln_hpg_... flags & consistency check |
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| 193 | nhpg = np_ERROR |
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| 194 | ioptio = 0 |
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| 195 | IF( ln_hpg_zco ) THEN ; nhpg = np_zco ; ioptio = ioptio +1 ; ENDIF |
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| 196 | IF( ln_hpg_zps ) THEN ; nhpg = np_zps ; ioptio = ioptio +1 ; ENDIF |
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| 197 | IF( ln_hpg_sco ) THEN ; nhpg = np_sco ; ioptio = ioptio +1 ; ENDIF |
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| 198 | IF( ln_hpg_djc ) THEN ; nhpg = np_djc ; ioptio = ioptio +1 ; ENDIF |
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| 199 | IF( ln_hpg_prj ) THEN ; nhpg = np_prj ; ioptio = ioptio +1 ; ENDIF |
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| 200 | IF( ln_hpg_isf ) THEN ; nhpg = np_isf ; ioptio = ioptio +1 ; ENDIF |
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[2528] | 201 | ! |
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[2715] | 202 | IF( ioptio /= 1 ) CALL ctl_stop( 'NO or several hydrostatic pressure gradient options used' ) |
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[5120] | 203 | ! |
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[9490] | 204 | IF(lwp) THEN |
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| 205 | WRITE(numout,*) |
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| 206 | SELECT CASE( nhpg ) |
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| 207 | CASE( np_zco ) ; WRITE(numout,*) ' ==>>> z-coord. - full steps ' |
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| 208 | CASE( np_zps ) ; WRITE(numout,*) ' ==>>> z-coord. - partial steps (interpolation)' |
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| 209 | CASE( np_sco ) ; WRITE(numout,*) ' ==>>> s-coord. (standard jacobian formulation)' |
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| 210 | CASE( np_djc ) ; WRITE(numout,*) ' ==>>> s-coord. (Density Jacobian: Cubic polynomial)' |
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| 211 | CASE( np_prj ) ; WRITE(numout,*) ' ==>>> s-coord. (Pressure Jacobian: Cubic polynomial)' |
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| 212 | CASE( np_isf ) ; WRITE(numout,*) ' ==>>> s-coord. (standard jacobian formulation) for isf' |
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| 213 | END SELECT |
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| 214 | WRITE(numout,*) |
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| 215 | ENDIF |
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[9019] | 216 | ! |
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[2528] | 217 | END SUBROUTINE dyn_hpg_init |
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[455] | 218 | |
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| 219 | SUBROUTINE hpg_zco( kt ) |
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| 220 | !!--------------------------------------------------------------------- |
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| 221 | !! *** ROUTINE hpg_zco *** |
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| 222 | !! |
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| 223 | !! ** Method : z-coordinate case, levels are horizontal surfaces. |
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| 224 | !! The now hydrostatic pressure gradient at a given level, jk, |
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| 225 | !! is computed by taking the vertical integral of the in-situ |
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| 226 | !! density gradient along the model level from the suface to that |
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| 227 | !! level: zhpi = grav ..... |
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| 228 | !! zhpj = grav ..... |
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[3] | 229 | !! add it to the general momentum trend (ua,va). |
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[455] | 230 | !! ua = ua - 1/e1u * zhpi |
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| 231 | !! va = va - 1/e2v * zhpj |
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[3764] | 232 | !! |
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[3] | 233 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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[503] | 234 | !!---------------------------------------------------------------------- |
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| 235 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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[6140] | 236 | ! |
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[503] | 237 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 238 | REAL(wp) :: zcoef0, zcoef1 ! temporary scalars |
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[9019] | 239 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpi, zhpj |
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[3] | 240 | !!---------------------------------------------------------------------- |
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[3764] | 241 | ! |
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[3] | 242 | IF( kt == nit000 ) THEN |
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| 243 | IF(lwp) WRITE(numout,*) |
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[455] | 244 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zco : hydrostatic pressure gradient trend' |
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| 245 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ z-coordinate case ' |
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[3] | 246 | ENDIF |
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| 247 | |
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[3764] | 248 | zcoef0 = - grav * 0.5_wp ! Local constant initialization |
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| 249 | |
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[455] | 250 | ! Surface value |
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[3] | 251 | DO jj = 2, jpjm1 |
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| 252 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[6140] | 253 | zcoef1 = zcoef0 * e3w_n(ji,jj,1) |
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[455] | 254 | ! hydrostatic pressure gradient |
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[6140] | 255 | zhpi(ji,jj,1) = zcoef1 * ( rhd(ji+1,jj,1) - rhd(ji,jj,1) ) * r1_e1u(ji,jj) |
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| 256 | zhpj(ji,jj,1) = zcoef1 * ( rhd(ji,jj+1,1) - rhd(ji,jj,1) ) * r1_e2v(ji,jj) |
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[3] | 257 | ! add to the general momentum trend |
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[455] | 258 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
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| 259 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
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| 260 | END DO |
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| 261 | END DO |
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[3294] | 262 | |
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[503] | 263 | ! |
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[455] | 264 | ! interior value (2=<jk=<jpkm1) |
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[3] | 265 | DO jk = 2, jpkm1 |
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[455] | 266 | DO jj = 2, jpjm1 |
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[3] | 267 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[6140] | 268 | zcoef1 = zcoef0 * e3w_n(ji,jj,jk) |
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[455] | 269 | ! hydrostatic pressure gradient |
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| 270 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
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[6140] | 271 | & + zcoef1 * ( ( rhd(ji+1,jj,jk)+rhd(ji+1,jj,jk-1) ) & |
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| 272 | & - ( rhd(ji ,jj,jk)+rhd(ji ,jj,jk-1) ) ) * r1_e1u(ji,jj) |
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[455] | 273 | |
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| 274 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
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[6140] | 275 | & + zcoef1 * ( ( rhd(ji,jj+1,jk)+rhd(ji,jj+1,jk-1) ) & |
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| 276 | & - ( rhd(ji,jj, jk)+rhd(ji,jj ,jk-1) ) ) * r1_e2v(ji,jj) |
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[3] | 277 | ! add to the general momentum trend |
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[455] | 278 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
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| 279 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
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[3] | 280 | END DO |
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| 281 | END DO |
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| 282 | END DO |
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[503] | 283 | ! |
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[455] | 284 | END SUBROUTINE hpg_zco |
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[216] | 285 | |
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[3] | 286 | |
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[455] | 287 | SUBROUTINE hpg_zps( kt ) |
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[3] | 288 | !!--------------------------------------------------------------------- |
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[455] | 289 | !! *** ROUTINE hpg_zps *** |
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[3764] | 290 | !! |
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[455] | 291 | !! ** Method : z-coordinate plus partial steps case. blahblah... |
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[3764] | 292 | !! |
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[3] | 293 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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[3764] | 294 | !!---------------------------------------------------------------------- |
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[503] | 295 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 296 | !! |
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| 297 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 298 | INTEGER :: iku, ikv ! temporary integers |
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| 299 | REAL(wp) :: zcoef0, zcoef1, zcoef2, zcoef3 ! temporary scalars |
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[9019] | 300 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpi, zhpj |
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[3] | 301 | !!---------------------------------------------------------------------- |
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[3294] | 302 | ! |
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[3] | 303 | IF( kt == nit000 ) THEN |
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| 304 | IF(lwp) WRITE(numout,*) |
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[455] | 305 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zps : hydrostatic pressure gradient trend' |
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[503] | 306 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ z-coordinate with partial steps - vector optimization' |
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[3] | 307 | ENDIF |
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| 308 | |
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[5930] | 309 | ! Partial steps: bottom before horizontal gradient of t, s, rd at the last ocean level |
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| 310 | !jc CALL zps_hde ( kt, jpts, tsn, gtsu, gtsv, rhd, gru , grv ) |
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[3294] | 311 | |
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[503] | 312 | ! Local constant initialization |
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[2528] | 313 | zcoef0 = - grav * 0.5_wp |
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[3] | 314 | |
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[2528] | 315 | ! Surface value (also valid in partial step case) |
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[3] | 316 | DO jj = 2, jpjm1 |
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| 317 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[6140] | 318 | zcoef1 = zcoef0 * e3w_n(ji,jj,1) |
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[3] | 319 | ! hydrostatic pressure gradient |
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[6140] | 320 | zhpi(ji,jj,1) = zcoef1 * ( rhd(ji+1,jj ,1) - rhd(ji,jj,1) ) * r1_e1u(ji,jj) |
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| 321 | zhpj(ji,jj,1) = zcoef1 * ( rhd(ji ,jj+1,1) - rhd(ji,jj,1) ) * r1_e2v(ji,jj) |
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[3] | 322 | ! add to the general momentum trend |
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| 323 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
---|
| 324 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
---|
| 325 | END DO |
---|
| 326 | END DO |
---|
| 327 | |
---|
[503] | 328 | ! interior value (2=<jk=<jpkm1) |
---|
[3] | 329 | DO jk = 2, jpkm1 |
---|
| 330 | DO jj = 2, jpjm1 |
---|
| 331 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[6140] | 332 | zcoef1 = zcoef0 * e3w_n(ji,jj,jk) |
---|
[3] | 333 | ! hydrostatic pressure gradient |
---|
| 334 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
---|
[455] | 335 | & + zcoef1 * ( ( rhd(ji+1,jj,jk) + rhd(ji+1,jj,jk-1) ) & |
---|
[6140] | 336 | & - ( rhd(ji ,jj,jk) + rhd(ji ,jj,jk-1) ) ) * r1_e1u(ji,jj) |
---|
[3] | 337 | |
---|
| 338 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
---|
[455] | 339 | & + zcoef1 * ( ( rhd(ji,jj+1,jk) + rhd(ji,jj+1,jk-1) ) & |
---|
[6140] | 340 | & - ( rhd(ji,jj, jk) + rhd(ji,jj ,jk-1) ) ) * r1_e2v(ji,jj) |
---|
[3] | 341 | ! add to the general momentum trend |
---|
| 342 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
---|
| 343 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
---|
[455] | 344 | END DO |
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[3] | 345 | END DO |
---|
| 346 | END DO |
---|
| 347 | |
---|
[2528] | 348 | ! partial steps correction at the last level (use gru & grv computed in zpshde.F90) |
---|
[3] | 349 | DO jj = 2, jpjm1 |
---|
| 350 | DO ji = 2, jpim1 |
---|
[2528] | 351 | iku = mbku(ji,jj) |
---|
| 352 | ikv = mbkv(ji,jj) |
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[6140] | 353 | zcoef2 = zcoef0 * MIN( e3w_n(ji,jj,iku), e3w_n(ji+1,jj ,iku) ) |
---|
| 354 | zcoef3 = zcoef0 * MIN( e3w_n(ji,jj,ikv), e3w_n(ji ,jj+1,ikv) ) |
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[2528] | 355 | IF( iku > 1 ) THEN ! on i-direction (level 2 or more) |
---|
| 356 | ua (ji,jj,iku) = ua(ji,jj,iku) - zhpi(ji,jj,iku) ! subtract old value |
---|
| 357 | zhpi(ji,jj,iku) = zhpi(ji,jj,iku-1) & ! compute the new one |
---|
[6140] | 358 | & + zcoef2 * ( rhd(ji+1,jj,iku-1) - rhd(ji,jj,iku-1) + gru(ji,jj) ) * r1_e1u(ji,jj) |
---|
[2528] | 359 | ua (ji,jj,iku) = ua(ji,jj,iku) + zhpi(ji,jj,iku) ! add the new one to the general momentum trend |
---|
[3] | 360 | ENDIF |
---|
[2528] | 361 | IF( ikv > 1 ) THEN ! on j-direction (level 2 or more) |
---|
| 362 | va (ji,jj,ikv) = va(ji,jj,ikv) - zhpj(ji,jj,ikv) ! subtract old value |
---|
| 363 | zhpj(ji,jj,ikv) = zhpj(ji,jj,ikv-1) & ! compute the new one |
---|
[6140] | 364 | & + zcoef3 * ( rhd(ji,jj+1,ikv-1) - rhd(ji,jj,ikv-1) + grv(ji,jj) ) * r1_e2v(ji,jj) |
---|
[2528] | 365 | va (ji,jj,ikv) = va(ji,jj,ikv) + zhpj(ji,jj,ikv) ! add the new one to the general momentum trend |
---|
[3] | 366 | ENDIF |
---|
| 367 | END DO |
---|
| 368 | END DO |
---|
[503] | 369 | ! |
---|
[455] | 370 | END SUBROUTINE hpg_zps |
---|
[216] | 371 | |
---|
[6140] | 372 | |
---|
[455] | 373 | SUBROUTINE hpg_sco( kt ) |
---|
[3] | 374 | !!--------------------------------------------------------------------- |
---|
[455] | 375 | !! *** ROUTINE hpg_sco *** |
---|
[3] | 376 | !! |
---|
[455] | 377 | !! ** Method : s-coordinate case. Jacobian scheme. |
---|
| 378 | !! The now hydrostatic pressure gradient at a given level, jk, |
---|
| 379 | !! is computed by taking the vertical integral of the in-situ |
---|
[3] | 380 | !! density gradient along the model level from the suface to that |
---|
[455] | 381 | !! level. s-coordinates (ln_sco): a corrective term is added |
---|
| 382 | !! to the horizontal pressure gradient : |
---|
| 383 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
---|
| 384 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
---|
[3] | 385 | !! add it to the general momentum trend (ua,va). |
---|
[455] | 386 | !! ua = ua - 1/e1u * zhpi |
---|
| 387 | !! va = va - 1/e2v * zhpj |
---|
[3] | 388 | !! |
---|
| 389 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
[503] | 390 | !!---------------------------------------------------------------------- |
---|
| 391 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 392 | !! |
---|
[6152] | 393 | INTEGER :: ji, jj, jk, jii, jjj ! dummy loop indices |
---|
| 394 | REAL(wp) :: zcoef0, zuap, zvap, znad, ztmp ! temporary scalars |
---|
[7646] | 395 | LOGICAL :: ll_tmp1, ll_tmp2 ! local logical variables |
---|
[9019] | 396 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpi, zhpj |
---|
| 397 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: zcpx, zcpy !W/D pressure filter |
---|
[5120] | 398 | !!---------------------------------------------------------------------- |
---|
| 399 | ! |
---|
[9039] | 400 | IF( ln_wd_il ) ALLOCATE(zcpx(jpi,jpj), zcpy(jpi,jpj)) |
---|
[9023] | 401 | ! |
---|
[5120] | 402 | IF( kt == nit000 ) THEN |
---|
| 403 | IF(lwp) WRITE(numout,*) |
---|
| 404 | IF(lwp) WRITE(numout,*) 'dyn:hpg_sco : hydrostatic pressure gradient trend' |
---|
| 405 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, OPA original scheme used' |
---|
| 406 | ENDIF |
---|
[6140] | 407 | ! |
---|
[5120] | 408 | zcoef0 = - grav * 0.5_wp |
---|
[6140] | 409 | IF ( ln_linssh ) THEN ; znad = 0._wp ! Fixed volume: density anomaly |
---|
| 410 | ELSE ; znad = 1._wp ! Variable volume: density |
---|
[5120] | 411 | ENDIF |
---|
[6140] | 412 | ! |
---|
[9023] | 413 | IF( ln_wd_il ) THEN |
---|
| 414 | DO jj = 2, jpjm1 |
---|
| 415 | DO ji = 2, jpim1 |
---|
| 416 | ll_tmp1 = MIN( sshn(ji,jj) , sshn(ji+1,jj) ) > & |
---|
| 417 | & MAX( -ht_0(ji,jj) , -ht_0(ji+1,jj) ) .AND. & |
---|
| 418 | & MAX( sshn(ji,jj) + ht_0(ji,jj), sshn(ji+1,jj) + ht_0(ji+1,jj) ) & |
---|
| 419 | & > rn_wdmin1 + rn_wdmin2 |
---|
| 420 | ll_tmp2 = ( ABS( sshn(ji,jj) - sshn(ji+1,jj) ) > 1.E-12 ) .AND. ( & |
---|
| 421 | & MAX( sshn(ji,jj) , sshn(ji+1,jj) ) > & |
---|
| 422 | & MAX( -ht_0(ji,jj) , -ht_0(ji+1,jj) ) + rn_wdmin1 + rn_wdmin2 ) |
---|
[6152] | 423 | |
---|
[9023] | 424 | IF(ll_tmp1) THEN |
---|
| 425 | zcpx(ji,jj) = 1.0_wp |
---|
| 426 | ELSE IF(ll_tmp2) THEN |
---|
| 427 | ! no worries about sshn(ji+1,jj) - sshn(ji ,jj) = 0, it won't happen ! here |
---|
| 428 | zcpx(ji,jj) = ABS( (sshn(ji+1,jj) + ht_0(ji+1,jj) - sshn(ji,jj) - ht_0(ji,jj)) & |
---|
| 429 | & / (sshn(ji+1,jj) - sshn(ji ,jj)) ) |
---|
| 430 | ELSE |
---|
| 431 | zcpx(ji,jj) = 0._wp |
---|
| 432 | END IF |
---|
| 433 | |
---|
| 434 | ll_tmp1 = MIN( sshn(ji,jj) , sshn(ji,jj+1) ) > & |
---|
| 435 | & MAX( -ht_0(ji,jj) , -ht_0(ji,jj+1) ) .AND. & |
---|
| 436 | & MAX( sshn(ji,jj) + ht_0(ji,jj), sshn(ji,jj+1) + ht_0(ji,jj+1) ) & |
---|
| 437 | & > rn_wdmin1 + rn_wdmin2 |
---|
| 438 | ll_tmp2 = ( ABS( sshn(ji,jj) - sshn(ji,jj+1) ) > 1.E-12 ) .AND. ( & |
---|
| 439 | & MAX( sshn(ji,jj) , sshn(ji,jj+1) ) > & |
---|
| 440 | & MAX( -ht_0(ji,jj) , -ht_0(ji,jj+1) ) + rn_wdmin1 + rn_wdmin2 ) |
---|
[6152] | 441 | |
---|
[9023] | 442 | IF(ll_tmp1) THEN |
---|
| 443 | zcpy(ji,jj) = 1.0_wp |
---|
| 444 | ELSE IF(ll_tmp2) THEN |
---|
| 445 | ! no worries about sshn(ji,jj+1) - sshn(ji,jj ) = 0, it won't happen ! here |
---|
| 446 | zcpy(ji,jj) = ABS( (sshn(ji,jj+1) + ht_0(ji,jj+1) - sshn(ji,jj) - ht_0(ji,jj)) & |
---|
| 447 | & / (sshn(ji,jj+1) - sshn(ji,jj )) ) |
---|
| 448 | ELSE |
---|
| 449 | zcpy(ji,jj) = 0._wp |
---|
| 450 | END IF |
---|
| 451 | END DO |
---|
| 452 | END DO |
---|
[10425] | 453 | CALL lbc_lnk_multi( 'dynhpg', zcpx, 'U', 1., zcpy, 'V', 1. ) |
---|
[9023] | 454 | END IF |
---|
| 455 | |
---|
[5120] | 456 | ! Surface value |
---|
| 457 | DO jj = 2, jpjm1 |
---|
| 458 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 459 | ! hydrostatic pressure gradient along s-surfaces |
---|
[6140] | 460 | zhpi(ji,jj,1) = zcoef0 * ( e3w_n(ji+1,jj ,1) * ( znad + rhd(ji+1,jj ,1) ) & |
---|
| 461 | & - e3w_n(ji ,jj ,1) * ( znad + rhd(ji ,jj ,1) ) ) * r1_e1u(ji,jj) |
---|
| 462 | zhpj(ji,jj,1) = zcoef0 * ( e3w_n(ji ,jj+1,1) * ( znad + rhd(ji ,jj+1,1) ) & |
---|
| 463 | & - e3w_n(ji ,jj ,1) * ( znad + rhd(ji ,jj ,1) ) ) * r1_e2v(ji,jj) |
---|
[5120] | 464 | ! s-coordinate pressure gradient correction |
---|
[6140] | 465 | zuap = -zcoef0 * ( rhd (ji+1,jj,1) + rhd (ji,jj,1) + 2._wp * znad ) & |
---|
| 466 | & * ( gde3w_n(ji+1,jj,1) - gde3w_n(ji,jj,1) ) * r1_e1u(ji,jj) |
---|
| 467 | zvap = -zcoef0 * ( rhd (ji,jj+1,1) + rhd (ji,jj,1) + 2._wp * znad ) & |
---|
| 468 | & * ( gde3w_n(ji,jj+1,1) - gde3w_n(ji,jj,1) ) * r1_e2v(ji,jj) |
---|
[9019] | 469 | ! |
---|
[9023] | 470 | IF( ln_wd_il ) THEN |
---|
[9019] | 471 | zhpi(ji,jj,1) = zhpi(ji,jj,1) * zcpx(ji,jj) |
---|
| 472 | zhpj(ji,jj,1) = zhpj(ji,jj,1) * zcpy(ji,jj) |
---|
| 473 | zuap = zuap * zcpx(ji,jj) |
---|
| 474 | zvap = zvap * zcpy(ji,jj) |
---|
[6152] | 475 | ENDIF |
---|
[9019] | 476 | ! |
---|
[5120] | 477 | ! add to the general momentum trend |
---|
| 478 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) + zuap |
---|
| 479 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) + zvap |
---|
| 480 | END DO |
---|
| 481 | END DO |
---|
| 482 | |
---|
| 483 | ! interior value (2=<jk=<jpkm1) |
---|
| 484 | DO jk = 2, jpkm1 |
---|
| 485 | DO jj = 2, jpjm1 |
---|
| 486 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 487 | ! hydrostatic pressure gradient along s-surfaces |
---|
[6140] | 488 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) + zcoef0 * r1_e1u(ji,jj) & |
---|
| 489 | & * ( e3w_n(ji+1,jj,jk) * ( rhd(ji+1,jj,jk) + rhd(ji+1,jj,jk-1) + 2*znad ) & |
---|
| 490 | & - e3w_n(ji ,jj,jk) * ( rhd(ji ,jj,jk) + rhd(ji ,jj,jk-1) + 2*znad ) ) |
---|
| 491 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) + zcoef0 * r1_e2v(ji,jj) & |
---|
| 492 | & * ( e3w_n(ji,jj+1,jk) * ( rhd(ji,jj+1,jk) + rhd(ji,jj+1,jk-1) + 2*znad ) & |
---|
| 493 | & - e3w_n(ji,jj ,jk) * ( rhd(ji,jj, jk) + rhd(ji,jj ,jk-1) + 2*znad ) ) |
---|
[5120] | 494 | ! s-coordinate pressure gradient correction |
---|
[6140] | 495 | zuap = -zcoef0 * ( rhd (ji+1,jj ,jk) + rhd (ji,jj,jk) + 2._wp * znad ) & |
---|
| 496 | & * ( gde3w_n(ji+1,jj ,jk) - gde3w_n(ji,jj,jk) ) * r1_e1u(ji,jj) |
---|
| 497 | zvap = -zcoef0 * ( rhd (ji ,jj+1,jk) + rhd (ji,jj,jk) + 2._wp * znad ) & |
---|
| 498 | & * ( gde3w_n(ji ,jj+1,jk) - gde3w_n(ji,jj,jk) ) * r1_e2v(ji,jj) |
---|
[9019] | 499 | ! |
---|
[9023] | 500 | IF( ln_wd_il ) THEN |
---|
[9019] | 501 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk) * zcpx(ji,jj) |
---|
| 502 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk) * zcpy(ji,jj) |
---|
| 503 | zuap = zuap * zcpx(ji,jj) |
---|
| 504 | zvap = zvap * zcpy(ji,jj) |
---|
[6152] | 505 | ENDIF |
---|
[9019] | 506 | ! |
---|
[5120] | 507 | ! add to the general momentum trend |
---|
| 508 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) + zuap |
---|
| 509 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) + zvap |
---|
| 510 | END DO |
---|
| 511 | END DO |
---|
| 512 | END DO |
---|
| 513 | ! |
---|
[9039] | 514 | IF( ln_wd_il ) DEALLOCATE( zcpx , zcpy ) |
---|
[5120] | 515 | ! |
---|
| 516 | END SUBROUTINE hpg_sco |
---|
| 517 | |
---|
[6140] | 518 | |
---|
[5120] | 519 | SUBROUTINE hpg_isf( kt ) |
---|
| 520 | !!--------------------------------------------------------------------- |
---|
[6140] | 521 | !! *** ROUTINE hpg_isf *** |
---|
[5120] | 522 | !! |
---|
| 523 | !! ** Method : s-coordinate case. Jacobian scheme. |
---|
| 524 | !! The now hydrostatic pressure gradient at a given level, jk, |
---|
| 525 | !! is computed by taking the vertical integral of the in-situ |
---|
| 526 | !! density gradient along the model level from the suface to that |
---|
| 527 | !! level. s-coordinates (ln_sco): a corrective term is added |
---|
| 528 | !! to the horizontal pressure gradient : |
---|
| 529 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
---|
| 530 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
---|
| 531 | !! add it to the general momentum trend (ua,va). |
---|
| 532 | !! ua = ua - 1/e1u * zhpi |
---|
| 533 | !! va = va - 1/e2v * zhpj |
---|
[11403] | 534 | !! iceload is added |
---|
[5120] | 535 | !! |
---|
| 536 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
| 537 | !!---------------------------------------------------------------------- |
---|
| 538 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 539 | !! |
---|
[6140] | 540 | INTEGER :: ji, jj, jk, ikt, iktp1i, iktp1j ! dummy loop indices |
---|
| 541 | REAL(wp) :: zcoef0, zuap, zvap, znad ! temporary scalars |
---|
[9019] | 542 | REAL(wp), DIMENSION(jpi,jpj,jpk ) :: zhpi, zhpj |
---|
| 543 | REAL(wp), DIMENSION(jpi,jpj,jpts) :: zts_top |
---|
| 544 | REAL(wp), DIMENSION(jpi,jpj) :: zrhdtop_oce |
---|
[3] | 545 | !!---------------------------------------------------------------------- |
---|
[3294] | 546 | ! |
---|
[9019] | 547 | zcoef0 = - grav * 0.5_wp ! Local constant initialization |
---|
[3294] | 548 | ! |
---|
[9019] | 549 | znad=1._wp ! To use density and not density anomaly |
---|
| 550 | ! |
---|
| 551 | ! ! iniitialised to 0. zhpi zhpi |
---|
| 552 | zhpi(:,:,:) = 0._wp ; zhpj(:,:,:) = 0._wp |
---|
[6140] | 553 | |
---|
[4990] | 554 | ! compute rhd at the ice/oce interface (ocean side) |
---|
[6140] | 555 | ! usefull to reduce residual current in the test case ISOMIP with no melting |
---|
[9019] | 556 | DO ji = 1, jpi |
---|
| 557 | DO jj = 1, jpj |
---|
| 558 | ikt = mikt(ji,jj) |
---|
| 559 | zts_top(ji,jj,1) = tsn(ji,jj,ikt,1) |
---|
| 560 | zts_top(ji,jj,2) = tsn(ji,jj,ikt,2) |
---|
[4990] | 561 | END DO |
---|
| 562 | END DO |
---|
[9019] | 563 | CALL eos( zts_top, risfdep, zrhdtop_oce ) |
---|
[6140] | 564 | |
---|
| 565 | !================================================================================== |
---|
| 566 | !===== Compute surface value ===================================================== |
---|
| 567 | !================================================================================== |
---|
[455] | 568 | DO jj = 2, jpjm1 |
---|
[3764] | 569 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[6140] | 570 | ikt = mikt(ji,jj) |
---|
| 571 | iktp1i = mikt(ji+1,jj) |
---|
| 572 | iktp1j = mikt(ji,jj+1) |
---|
[4990] | 573 | ! hydrostatic pressure gradient along s-surfaces and ice shelf pressure |
---|
| 574 | ! we assume ISF is in isostatic equilibrium |
---|
[6140] | 575 | zhpi(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( 0.5_wp * e3w_n(ji+1,jj,iktp1i) & |
---|
| 576 | & * ( 2._wp * znad + rhd(ji+1,jj,iktp1i) + zrhdtop_oce(ji+1,jj) ) & |
---|
| 577 | & - 0.5_wp * e3w_n(ji,jj,ikt) & |
---|
| 578 | & * ( 2._wp * znad + rhd(ji,jj,ikt) + zrhdtop_oce(ji,jj) ) & |
---|
[11403] | 579 | & + ( risfload(ji+1,jj) - risfload(ji,jj)) ) |
---|
[6140] | 580 | zhpj(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( 0.5_wp * e3w_n(ji,jj+1,iktp1j) & |
---|
| 581 | & * ( 2._wp * znad + rhd(ji,jj+1,iktp1j) + zrhdtop_oce(ji,jj+1) ) & |
---|
| 582 | & - 0.5_wp * e3w_n(ji,jj,ikt) & |
---|
| 583 | & * ( 2._wp * znad + rhd(ji,jj,ikt) + zrhdtop_oce(ji,jj) ) & |
---|
[11403] | 584 | & + ( risfload(ji,jj+1) - risfload(ji,jj)) ) |
---|
[4990] | 585 | ! s-coordinate pressure gradient correction (=0 if z coordinate) |
---|
[6140] | 586 | zuap = -zcoef0 * ( rhd (ji+1,jj,1) + rhd (ji,jj,1) + 2._wp * znad ) & |
---|
| 587 | & * ( gde3w_n(ji+1,jj,1) - gde3w_n(ji,jj,1) ) * r1_e1u(ji,jj) |
---|
| 588 | zvap = -zcoef0 * ( rhd (ji,jj+1,1) + rhd (ji,jj,1) + 2._wp * znad ) & |
---|
| 589 | & * ( gde3w_n(ji,jj+1,1) - gde3w_n(ji,jj,1) ) * r1_e2v(ji,jj) |
---|
[455] | 590 | ! add to the general momentum trend |
---|
[4990] | 591 | ua(ji,jj,1) = ua(ji,jj,1) + (zhpi(ji,jj,1) + zuap) * umask(ji,jj,1) |
---|
| 592 | va(ji,jj,1) = va(ji,jj,1) + (zhpj(ji,jj,1) + zvap) * vmask(ji,jj,1) |
---|
[3764] | 593 | END DO |
---|
| 594 | END DO |
---|
[4990] | 595 | !================================================================================== |
---|
| 596 | !===== Compute interior value ===================================================== |
---|
| 597 | !================================================================================== |
---|
[6140] | 598 | ! interior value (2=<jk=<jpkm1) |
---|
| 599 | DO jk = 2, jpkm1 |
---|
| 600 | DO jj = 2, jpjm1 |
---|
| 601 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[455] | 602 | ! hydrostatic pressure gradient along s-surfaces |
---|
[6140] | 603 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) + zcoef0 / e1u(ji,jj) & |
---|
| 604 | & * ( e3w_n(ji+1,jj,jk) * ( rhd(ji+1,jj,jk) + rhd(ji+1,jj,jk-1) + 2*znad ) * wmask(ji+1,jj,jk) & |
---|
| 605 | & - e3w_n(ji ,jj,jk) * ( rhd(ji ,jj,jk) + rhd(ji ,jj,jk-1) + 2*znad ) * wmask(ji ,jj,jk) ) |
---|
| 606 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) + zcoef0 / e2v(ji,jj) & |
---|
| 607 | & * ( e3w_n(ji,jj+1,jk) * ( rhd(ji,jj+1,jk) + rhd(ji,jj+1,jk-1) + 2*znad ) * wmask(ji,jj+1,jk) & |
---|
| 608 | & - e3w_n(ji,jj ,jk) * ( rhd(ji,jj, jk) + rhd(ji,jj ,jk-1) + 2*znad ) * wmask(ji,jj ,jk) ) |
---|
[455] | 609 | ! s-coordinate pressure gradient correction |
---|
[6140] | 610 | zuap = -zcoef0 * ( rhd (ji+1,jj ,jk) + rhd (ji,jj,jk) + 2._wp * znad ) & |
---|
| 611 | & * ( gde3w_n(ji+1,jj ,jk) - gde3w_n(ji,jj,jk) ) / e1u(ji,jj) |
---|
| 612 | zvap = -zcoef0 * ( rhd (ji ,jj+1,jk) + rhd (ji,jj,jk) + 2._wp * znad ) & |
---|
| 613 | & * ( gde3w_n(ji ,jj+1,jk) - gde3w_n(ji,jj,jk) ) / e2v(ji,jj) |
---|
[455] | 614 | ! add to the general momentum trend |
---|
[6140] | 615 | ua(ji,jj,jk) = ua(ji,jj,jk) + (zhpi(ji,jj,jk) + zuap) * umask(ji,jj,jk) |
---|
| 616 | va(ji,jj,jk) = va(ji,jj,jk) + (zhpj(ji,jj,jk) + zvap) * vmask(ji,jj,jk) |
---|
[455] | 617 | END DO |
---|
| 618 | END DO |
---|
| 619 | END DO |
---|
[503] | 620 | ! |
---|
[5120] | 621 | END SUBROUTINE hpg_isf |
---|
[455] | 622 | |
---|
[4990] | 623 | |
---|
[455] | 624 | SUBROUTINE hpg_djc( kt ) |
---|
| 625 | !!--------------------------------------------------------------------- |
---|
| 626 | !! *** ROUTINE hpg_djc *** |
---|
| 627 | !! |
---|
| 628 | !! ** Method : Density Jacobian with Cubic polynomial scheme |
---|
[3764] | 629 | !! |
---|
[503] | 630 | !! Reference: Shchepetkin and McWilliams, J. Geophys. Res., 108(C3), 3090, 2003 |
---|
[455] | 631 | !!---------------------------------------------------------------------- |
---|
[503] | 632 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 633 | !! |
---|
| 634 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 635 | REAL(wp) :: zcoef0, zep, cffw ! temporary scalars |
---|
| 636 | REAL(wp) :: z1_10, cffu, cffx ! " " |
---|
| 637 | REAL(wp) :: z1_12, cffv, cffy ! " " |
---|
[6152] | 638 | LOGICAL :: ll_tmp1, ll_tmp2 ! local logical variables |
---|
[9019] | 639 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpi, zhpj |
---|
| 640 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: dzx, dzy, dzz, dzu, dzv, dzw |
---|
| 641 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: drhox, drhoy, drhoz, drhou, drhov, drhow |
---|
| 642 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: rho_i, rho_j, rho_k |
---|
| 643 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: zcpx, zcpy !W/D pressure filter |
---|
[455] | 644 | !!---------------------------------------------------------------------- |
---|
[3294] | 645 | ! |
---|
[9023] | 646 | IF( ln_wd_il ) THEN |
---|
[9019] | 647 | ALLOCATE( zcpx(jpi,jpj) , zcpy(jpi,jpj) ) |
---|
[9023] | 648 | DO jj = 2, jpjm1 |
---|
| 649 | DO ji = 2, jpim1 |
---|
| 650 | ll_tmp1 = MIN( sshn(ji,jj) , sshn(ji+1,jj) ) > & |
---|
| 651 | & MAX( -ht_0(ji,jj) , -ht_0(ji+1,jj) ) .AND. & |
---|
| 652 | & MAX( sshn(ji,jj) + ht_0(ji,jj), sshn(ji+1,jj) + ht_0(ji+1,jj) ) & |
---|
| 653 | & > rn_wdmin1 + rn_wdmin2 |
---|
| 654 | ll_tmp2 = ( ABS( sshn(ji,jj) - sshn(ji+1,jj) ) > 1.E-12 ) .AND. ( & |
---|
| 655 | & MAX( sshn(ji,jj) , sshn(ji+1,jj) ) > & |
---|
| 656 | & MAX( -ht_0(ji,jj) , -ht_0(ji+1,jj) ) + rn_wdmin1 + rn_wdmin2 ) |
---|
| 657 | IF(ll_tmp1) THEN |
---|
| 658 | zcpx(ji,jj) = 1.0_wp |
---|
| 659 | ELSE IF(ll_tmp2) THEN |
---|
| 660 | ! no worries about sshn(ji+1,jj) - sshn(ji ,jj) = 0, it won't happen ! here |
---|
| 661 | zcpx(ji,jj) = ABS( (sshn(ji+1,jj) + ht_0(ji+1,jj) - sshn(ji,jj) - ht_0(ji,jj)) & |
---|
| 662 | & / (sshn(ji+1,jj) - sshn(ji ,jj)) ) |
---|
| 663 | ELSE |
---|
| 664 | zcpx(ji,jj) = 0._wp |
---|
| 665 | END IF |
---|
[6152] | 666 | |
---|
[9023] | 667 | ll_tmp1 = MIN( sshn(ji,jj) , sshn(ji,jj+1) ) > & |
---|
| 668 | & MAX( -ht_0(ji,jj) , -ht_0(ji,jj+1) ) .AND. & |
---|
| 669 | & MAX( sshn(ji,jj) + ht_0(ji,jj), sshn(ji,jj+1) + ht_0(ji,jj+1) ) & |
---|
| 670 | & > rn_wdmin1 + rn_wdmin2 |
---|
| 671 | ll_tmp2 = ( ABS( sshn(ji,jj) - sshn(ji,jj+1) ) > 1.E-12 ) .AND. ( & |
---|
| 672 | & MAX( sshn(ji,jj) , sshn(ji,jj+1) ) > & |
---|
| 673 | & MAX( -ht_0(ji,jj) , -ht_0(ji,jj+1) ) + rn_wdmin1 + rn_wdmin2 ) |
---|
[6152] | 674 | |
---|
[9023] | 675 | IF(ll_tmp1) THEN |
---|
| 676 | zcpy(ji,jj) = 1.0_wp |
---|
| 677 | ELSE IF(ll_tmp2) THEN |
---|
| 678 | ! no worries about sshn(ji,jj+1) - sshn(ji,jj ) = 0, it won't happen ! here |
---|
| 679 | zcpy(ji,jj) = ABS( (sshn(ji,jj+1) + ht_0(ji,jj+1) - sshn(ji,jj) - ht_0(ji,jj)) & |
---|
| 680 | & / (sshn(ji,jj+1) - sshn(ji,jj )) ) |
---|
| 681 | ELSE |
---|
| 682 | zcpy(ji,jj) = 0._wp |
---|
| 683 | END IF |
---|
| 684 | END DO |
---|
| 685 | END DO |
---|
[10425] | 686 | CALL lbc_lnk_multi( 'dynhpg', zcpx, 'U', 1., zcpy, 'V', 1. ) |
---|
[9023] | 687 | END IF |
---|
[6152] | 688 | |
---|
[455] | 689 | IF( kt == nit000 ) THEN |
---|
| 690 | IF(lwp) WRITE(numout,*) |
---|
| 691 | IF(lwp) WRITE(numout,*) 'dyn:hpg_djc : hydrostatic pressure gradient trend' |
---|
| 692 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, density Jacobian with cubic polynomial scheme' |
---|
[216] | 693 | ENDIF |
---|
| 694 | |
---|
[503] | 695 | ! Local constant initialization |
---|
[2528] | 696 | zcoef0 = - grav * 0.5_wp |
---|
| 697 | z1_10 = 1._wp / 10._wp |
---|
| 698 | z1_12 = 1._wp / 12._wp |
---|
[455] | 699 | |
---|
| 700 | !---------------------------------------------------------------------------------------- |
---|
| 701 | ! compute and store in provisional arrays elementary vertical and horizontal differences |
---|
| 702 | !---------------------------------------------------------------------------------------- |
---|
| 703 | |
---|
| 704 | !!bug gm Not a true bug, but... dzz=e3w for dzx, dzy verify what it is really |
---|
| 705 | |
---|
| 706 | DO jk = 2, jpkm1 |
---|
| 707 | DO jj = 2, jpjm1 |
---|
| 708 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[6140] | 709 | drhoz(ji,jj,jk) = rhd (ji ,jj ,jk) - rhd (ji,jj,jk-1) |
---|
| 710 | dzz (ji,jj,jk) = gde3w_n(ji ,jj ,jk) - gde3w_n(ji,jj,jk-1) |
---|
| 711 | drhox(ji,jj,jk) = rhd (ji+1,jj ,jk) - rhd (ji,jj,jk ) |
---|
| 712 | dzx (ji,jj,jk) = gde3w_n(ji+1,jj ,jk) - gde3w_n(ji,jj,jk ) |
---|
| 713 | drhoy(ji,jj,jk) = rhd (ji ,jj+1,jk) - rhd (ji,jj,jk ) |
---|
| 714 | dzy (ji,jj,jk) = gde3w_n(ji ,jj+1,jk) - gde3w_n(ji,jj,jk ) |
---|
[455] | 715 | END DO |
---|
| 716 | END DO |
---|
| 717 | END DO |
---|
| 718 | |
---|
| 719 | !------------------------------------------------------------------------- |
---|
| 720 | ! compute harmonic averages using eq. 5.18 |
---|
| 721 | !------------------------------------------------------------------------- |
---|
| 722 | zep = 1.e-15 |
---|
| 723 | |
---|
[503] | 724 | !!bug gm drhoz not defined at level 1 and used (jk-1 with jk=2) |
---|
| 725 | !!bug gm idem for drhox, drhoy et ji=jpi and jj=jpj |
---|
[455] | 726 | |
---|
| 727 | DO jk = 2, jpkm1 |
---|
| 728 | DO jj = 2, jpjm1 |
---|
| 729 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2528] | 730 | cffw = 2._wp * drhoz(ji ,jj ,jk) * drhoz(ji,jj,jk-1) |
---|
[455] | 731 | |
---|
[2528] | 732 | cffu = 2._wp * drhox(ji+1,jj ,jk) * drhox(ji,jj,jk ) |
---|
| 733 | cffx = 2._wp * dzx (ji+1,jj ,jk) * dzx (ji,jj,jk ) |
---|
[3764] | 734 | |
---|
[2528] | 735 | cffv = 2._wp * drhoy(ji ,jj+1,jk) * drhoy(ji,jj,jk ) |
---|
| 736 | cffy = 2._wp * dzy (ji ,jj+1,jk) * dzy (ji,jj,jk ) |
---|
[455] | 737 | |
---|
| 738 | IF( cffw > zep) THEN |
---|
[2528] | 739 | drhow(ji,jj,jk) = 2._wp * drhoz(ji,jj,jk) * drhoz(ji,jj,jk-1) & |
---|
| 740 | & / ( drhoz(ji,jj,jk) + drhoz(ji,jj,jk-1) ) |
---|
[455] | 741 | ELSE |
---|
[2528] | 742 | drhow(ji,jj,jk) = 0._wp |
---|
[455] | 743 | ENDIF |
---|
| 744 | |
---|
[2528] | 745 | dzw(ji,jj,jk) = 2._wp * dzz(ji,jj,jk) * dzz(ji,jj,jk-1) & |
---|
| 746 | & / ( dzz(ji,jj,jk) + dzz(ji,jj,jk-1) ) |
---|
[455] | 747 | |
---|
| 748 | IF( cffu > zep ) THEN |
---|
[2528] | 749 | drhou(ji,jj,jk) = 2._wp * drhox(ji+1,jj,jk) * drhox(ji,jj,jk) & |
---|
| 750 | & / ( drhox(ji+1,jj,jk) + drhox(ji,jj,jk) ) |
---|
[455] | 751 | ELSE |
---|
[2528] | 752 | drhou(ji,jj,jk ) = 0._wp |
---|
[455] | 753 | ENDIF |
---|
| 754 | |
---|
| 755 | IF( cffx > zep ) THEN |
---|
[2528] | 756 | dzu(ji,jj,jk) = 2._wp * dzx(ji+1,jj,jk) * dzx(ji,jj,jk) & |
---|
| 757 | & / ( dzx(ji+1,jj,jk) + dzx(ji,jj,jk) ) |
---|
[455] | 758 | ELSE |
---|
[2528] | 759 | dzu(ji,jj,jk) = 0._wp |
---|
[455] | 760 | ENDIF |
---|
| 761 | |
---|
| 762 | IF( cffv > zep ) THEN |
---|
[2528] | 763 | drhov(ji,jj,jk) = 2._wp * drhoy(ji,jj+1,jk) * drhoy(ji,jj,jk) & |
---|
| 764 | & / ( drhoy(ji,jj+1,jk) + drhoy(ji,jj,jk) ) |
---|
[455] | 765 | ELSE |
---|
[2528] | 766 | drhov(ji,jj,jk) = 0._wp |
---|
[455] | 767 | ENDIF |
---|
| 768 | |
---|
| 769 | IF( cffy > zep ) THEN |
---|
[2528] | 770 | dzv(ji,jj,jk) = 2._wp * dzy(ji,jj+1,jk) * dzy(ji,jj,jk) & |
---|
| 771 | & / ( dzy(ji,jj+1,jk) + dzy(ji,jj,jk) ) |
---|
[455] | 772 | ELSE |
---|
[2528] | 773 | dzv(ji,jj,jk) = 0._wp |
---|
[455] | 774 | ENDIF |
---|
| 775 | |
---|
| 776 | END DO |
---|
| 777 | END DO |
---|
| 778 | END DO |
---|
| 779 | |
---|
| 780 | !---------------------------------------------------------------------------------- |
---|
| 781 | ! apply boundary conditions at top and bottom using 5.36-5.37 |
---|
| 782 | !---------------------------------------------------------------------------------- |
---|
[2528] | 783 | drhow(:,:, 1 ) = 1.5_wp * ( drhoz(:,:, 2 ) - drhoz(:,:, 1 ) ) - 0.5_wp * drhow(:,:, 2 ) |
---|
| 784 | drhou(:,:, 1 ) = 1.5_wp * ( drhox(:,:, 2 ) - drhox(:,:, 1 ) ) - 0.5_wp * drhou(:,:, 2 ) |
---|
| 785 | drhov(:,:, 1 ) = 1.5_wp * ( drhoy(:,:, 2 ) - drhoy(:,:, 1 ) ) - 0.5_wp * drhov(:,:, 2 ) |
---|
[455] | 786 | |
---|
[2528] | 787 | drhow(:,:,jpk) = 1.5_wp * ( drhoz(:,:,jpk) - drhoz(:,:,jpkm1) ) - 0.5_wp * drhow(:,:,jpkm1) |
---|
| 788 | drhou(:,:,jpk) = 1.5_wp * ( drhox(:,:,jpk) - drhox(:,:,jpkm1) ) - 0.5_wp * drhou(:,:,jpkm1) |
---|
| 789 | drhov(:,:,jpk) = 1.5_wp * ( drhoy(:,:,jpk) - drhoy(:,:,jpkm1) ) - 0.5_wp * drhov(:,:,jpkm1) |
---|
[455] | 790 | |
---|
| 791 | |
---|
| 792 | !-------------------------------------------------------------- |
---|
| 793 | ! Upper half of top-most grid box, compute and store |
---|
| 794 | !------------------------------------------------------------- |
---|
| 795 | |
---|
[6140] | 796 | !!bug gm : e3w-gde3w = 0.5*e3w .... and gde3w(2)-gde3w(1)=e3w(2) .... to be verified |
---|
| 797 | ! true if gde3w is really defined as the sum of the e3w scale factors as, it seems to me, it should be |
---|
[455] | 798 | |
---|
| 799 | DO jj = 2, jpjm1 |
---|
| 800 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[6140] | 801 | rho_k(ji,jj,1) = -grav * ( e3w_n(ji,jj,1) - gde3w_n(ji,jj,1) ) & |
---|
| 802 | & * ( rhd(ji,jj,1) & |
---|
| 803 | & + 0.5_wp * ( rhd (ji,jj,2) - rhd (ji,jj,1) ) & |
---|
| 804 | & * ( e3w_n (ji,jj,1) - gde3w_n(ji,jj,1) ) & |
---|
| 805 | & / ( gde3w_n(ji,jj,2) - gde3w_n(ji,jj,1) ) ) |
---|
[455] | 806 | END DO |
---|
| 807 | END DO |
---|
| 808 | |
---|
| 809 | !!bug gm : here also, simplification is possible |
---|
| 810 | !!bug gm : optimisation: 1/10 and 1/12 the division should be done before the loop |
---|
| 811 | |
---|
| 812 | DO jk = 2, jpkm1 |
---|
| 813 | DO jj = 2, jpjm1 |
---|
| 814 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 815 | |
---|
[6140] | 816 | rho_k(ji,jj,jk) = zcoef0 * ( rhd (ji,jj,jk) + rhd (ji,jj,jk-1) ) & |
---|
| 817 | & * ( gde3w_n(ji,jj,jk) - gde3w_n(ji,jj,jk-1) ) & |
---|
| 818 | & - grav * z1_10 * ( & |
---|
| 819 | & ( drhow (ji,jj,jk) - drhow (ji,jj,jk-1) ) & |
---|
| 820 | & * ( gde3w_n(ji,jj,jk) - gde3w_n(ji,jj,jk-1) - z1_12 * ( dzw (ji,jj,jk) + dzw (ji,jj,jk-1) ) ) & |
---|
| 821 | & - ( dzw (ji,jj,jk) - dzw (ji,jj,jk-1) ) & |
---|
| 822 | & * ( rhd (ji,jj,jk) - rhd (ji,jj,jk-1) - z1_12 * ( drhow(ji,jj,jk) + drhow(ji,jj,jk-1) ) ) & |
---|
[455] | 823 | & ) |
---|
| 824 | |
---|
[6140] | 825 | rho_i(ji,jj,jk) = zcoef0 * ( rhd (ji+1,jj,jk) + rhd (ji,jj,jk) ) & |
---|
| 826 | & * ( gde3w_n(ji+1,jj,jk) - gde3w_n(ji,jj,jk) ) & |
---|
| 827 | & - grav* z1_10 * ( & |
---|
| 828 | & ( drhou (ji+1,jj,jk) - drhou (ji,jj,jk) ) & |
---|
| 829 | & * ( gde3w_n(ji+1,jj,jk) - gde3w_n(ji,jj,jk) - z1_12 * ( dzu (ji+1,jj,jk) + dzu (ji,jj,jk) ) ) & |
---|
| 830 | & - ( dzu (ji+1,jj,jk) - dzu (ji,jj,jk) ) & |
---|
| 831 | & * ( rhd (ji+1,jj,jk) - rhd (ji,jj,jk) - z1_12 * ( drhou(ji+1,jj,jk) + drhou(ji,jj,jk) ) ) & |
---|
[455] | 832 | & ) |
---|
| 833 | |
---|
[6140] | 834 | rho_j(ji,jj,jk) = zcoef0 * ( rhd (ji,jj+1,jk) + rhd (ji,jj,jk) ) & |
---|
| 835 | & * ( gde3w_n(ji,jj+1,jk) - gde3w_n(ji,jj,jk) ) & |
---|
| 836 | & - grav* z1_10 * ( & |
---|
| 837 | & ( drhov (ji,jj+1,jk) - drhov (ji,jj,jk) ) & |
---|
| 838 | & * ( gde3w_n(ji,jj+1,jk) - gde3w_n(ji,jj,jk) - z1_12 * ( dzv (ji,jj+1,jk) + dzv (ji,jj,jk) ) ) & |
---|
| 839 | & - ( dzv (ji,jj+1,jk) - dzv (ji,jj,jk) ) & |
---|
| 840 | & * ( rhd (ji,jj+1,jk) - rhd (ji,jj,jk) - z1_12 * ( drhov(ji,jj+1,jk) + drhov(ji,jj,jk) ) ) & |
---|
[455] | 841 | & ) |
---|
| 842 | |
---|
| 843 | END DO |
---|
| 844 | END DO |
---|
| 845 | END DO |
---|
[10425] | 846 | CALL lbc_lnk_multi( 'dynhpg', rho_k, 'W', 1., rho_i, 'U', 1., rho_j, 'V', 1. ) |
---|
[455] | 847 | |
---|
| 848 | ! --------------- |
---|
| 849 | ! Surface value |
---|
| 850 | ! --------------- |
---|
| 851 | DO jj = 2, jpjm1 |
---|
| 852 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[6140] | 853 | zhpi(ji,jj,1) = ( rho_k(ji+1,jj ,1) - rho_k(ji,jj,1) - rho_i(ji,jj,1) ) * r1_e1u(ji,jj) |
---|
| 854 | zhpj(ji,jj,1) = ( rho_k(ji ,jj+1,1) - rho_k(ji,jj,1) - rho_j(ji,jj,1) ) * r1_e2v(ji,jj) |
---|
[9023] | 855 | IF( ln_wd_il ) THEN |
---|
[6152] | 856 | zhpi(ji,jj,1) = zhpi(ji,jj,1) * zcpx(ji,jj) |
---|
| 857 | zhpj(ji,jj,1) = zhpj(ji,jj,1) * zcpy(ji,jj) |
---|
| 858 | ENDIF |
---|
[455] | 859 | ! add to the general momentum trend |
---|
| 860 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
---|
| 861 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
---|
| 862 | END DO |
---|
| 863 | END DO |
---|
| 864 | |
---|
| 865 | ! ---------------- |
---|
| 866 | ! interior value (2=<jk=<jpkm1) |
---|
| 867 | ! ---------------- |
---|
| 868 | DO jk = 2, jpkm1 |
---|
[3764] | 869 | DO jj = 2, jpjm1 |
---|
[455] | 870 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 871 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 872 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
---|
| 873 | & + ( ( rho_k(ji+1,jj,jk) - rho_k(ji,jj,jk ) ) & |
---|
[6140] | 874 | & - ( rho_i(ji ,jj,jk) - rho_i(ji,jj,jk-1) ) ) * r1_e1u(ji,jj) |
---|
[455] | 875 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
---|
| 876 | & + ( ( rho_k(ji,jj+1,jk) - rho_k(ji,jj,jk ) ) & |
---|
[6140] | 877 | & -( rho_j(ji,jj ,jk) - rho_j(ji,jj,jk-1) ) ) * r1_e2v(ji,jj) |
---|
[9023] | 878 | IF( ln_wd_il ) THEN |
---|
[6152] | 879 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk) * zcpx(ji,jj) |
---|
| 880 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk) * zcpy(ji,jj) |
---|
| 881 | ENDIF |
---|
[455] | 882 | ! add to the general momentum trend |
---|
| 883 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
---|
| 884 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
---|
| 885 | END DO |
---|
| 886 | END DO |
---|
| 887 | END DO |
---|
[503] | 888 | ! |
---|
[9023] | 889 | IF( ln_wd_il ) DEALLOCATE( zcpx, zcpy ) |
---|
[2715] | 890 | ! |
---|
[455] | 891 | END SUBROUTINE hpg_djc |
---|
| 892 | |
---|
| 893 | |
---|
[3294] | 894 | SUBROUTINE hpg_prj( kt ) |
---|
[455] | 895 | !!--------------------------------------------------------------------- |
---|
[3294] | 896 | !! *** ROUTINE hpg_prj *** |
---|
[455] | 897 | !! |
---|
[3294] | 898 | !! ** Method : s-coordinate case. |
---|
| 899 | !! A Pressure-Jacobian horizontal pressure gradient method |
---|
| 900 | !! based on the constrained cubic-spline interpolation for |
---|
| 901 | !! all vertical coordinate systems |
---|
[455] | 902 | !! |
---|
[3294] | 903 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
[455] | 904 | !!---------------------------------------------------------------------- |
---|
[3294] | 905 | INTEGER, PARAMETER :: polynomial_type = 1 ! 1: cubic spline, 2: linear |
---|
| 906 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
[503] | 907 | !! |
---|
[3294] | 908 | INTEGER :: ji, jj, jk, jkk ! dummy loop indices |
---|
[6140] | 909 | REAL(wp) :: zcoef0, znad ! local scalars |
---|
| 910 | ! |
---|
[3294] | 911 | !! The local variables for the correction term |
---|
| 912 | INTEGER :: jk1, jis, jid, jjs, jjd |
---|
[6152] | 913 | LOGICAL :: ll_tmp1, ll_tmp2 ! local logical variables |
---|
[3294] | 914 | REAL(wp) :: zuijk, zvijk, zpwes, zpwed, zpnss, zpnsd, zdeps |
---|
[3764] | 915 | REAL(wp) :: zrhdt1 |
---|
[3294] | 916 | REAL(wp) :: zdpdx1, zdpdx2, zdpdy1, zdpdy2 |
---|
[9019] | 917 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdept, zrhh |
---|
| 918 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpi, zu, zv, fsp, xsp, asp, bsp, csp, dsp |
---|
| 919 | REAL(wp), DIMENSION(jpi,jpj) :: zsshu_n, zsshv_n |
---|
| 920 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: zcpx, zcpy !W/D pressure filter |
---|
[455] | 921 | !!---------------------------------------------------------------------- |
---|
[3294] | 922 | ! |
---|
[455] | 923 | IF( kt == nit000 ) THEN |
---|
| 924 | IF(lwp) WRITE(numout,*) |
---|
[3294] | 925 | IF(lwp) WRITE(numout,*) 'dyn:hpg_prj : hydrostatic pressure gradient trend' |
---|
| 926 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, cubic spline pressure Jacobian' |
---|
[3] | 927 | ENDIF |
---|
| 928 | |
---|
[3294] | 929 | ! Local constant initialization |
---|
[3764] | 930 | zcoef0 = - grav |
---|
[6140] | 931 | znad = 1._wp |
---|
| 932 | IF( ln_linssh ) znad = 0._wp |
---|
[3] | 933 | |
---|
[9023] | 934 | IF( ln_wd_il ) THEN |
---|
[9019] | 935 | ALLOCATE( zcpx(jpi,jpj) , zcpy(jpi,jpj) ) |
---|
| 936 | DO jj = 2, jpjm1 |
---|
[9023] | 937 | DO ji = 2, jpim1 |
---|
| 938 | ll_tmp1 = MIN( sshn(ji,jj) , sshn(ji+1,jj) ) > & |
---|
| 939 | & MAX( -ht_0(ji,jj) , -ht_0(ji+1,jj) ) .AND. & |
---|
| 940 | & MAX( sshn(ji,jj) + ht_0(ji,jj), sshn(ji+1,jj) + ht_0(ji+1,jj) ) & |
---|
| 941 | & > rn_wdmin1 + rn_wdmin2 |
---|
| 942 | ll_tmp2 = ( ABS( sshn(ji,jj) - sshn(ji+1,jj) ) > 1.E-12 ) .AND. ( & |
---|
| 943 | & MAX( sshn(ji,jj) , sshn(ji+1,jj) ) > & |
---|
| 944 | & MAX( -ht_0(ji,jj) , -ht_0(ji+1,jj) ) + rn_wdmin1 + rn_wdmin2 ) |
---|
[6152] | 945 | |
---|
[9023] | 946 | IF(ll_tmp1) THEN |
---|
| 947 | zcpx(ji,jj) = 1.0_wp |
---|
| 948 | ELSE IF(ll_tmp2) THEN |
---|
| 949 | ! no worries about sshn(ji+1,jj) - sshn(ji ,jj) = 0, it won't happen ! here |
---|
| 950 | zcpx(ji,jj) = ABS( (sshn(ji+1,jj) + ht_0(ji+1,jj) - sshn(ji,jj) - ht_0(ji,jj)) & |
---|
| 951 | & / (sshn(ji+1,jj) - sshn(ji ,jj)) ) |
---|
| 952 | |
---|
| 953 | zcpx(ji,jj) = max(min( zcpx(ji,jj) , 1.0_wp),0.0_wp) |
---|
| 954 | ELSE |
---|
| 955 | zcpx(ji,jj) = 0._wp |
---|
| 956 | END IF |
---|
[6152] | 957 | |
---|
[9023] | 958 | ll_tmp1 = MIN( sshn(ji,jj) , sshn(ji,jj+1) ) > & |
---|
| 959 | & MAX( -ht_0(ji,jj) , -ht_0(ji,jj+1) ) .AND. & |
---|
| 960 | & MAX( sshn(ji,jj) + ht_0(ji,jj), sshn(ji,jj+1) + ht_0(ji,jj+1) ) & |
---|
| 961 | & > rn_wdmin1 + rn_wdmin2 |
---|
| 962 | ll_tmp2 = ( ABS( sshn(ji,jj) - sshn(ji,jj+1) ) > 1.E-12 ) .AND. ( & |
---|
| 963 | & MAX( sshn(ji,jj) , sshn(ji,jj+1) ) > & |
---|
| 964 | & MAX( -ht_0(ji,jj) , -ht_0(ji,jj+1) ) + rn_wdmin1 + rn_wdmin2 ) |
---|
[6152] | 965 | |
---|
[9023] | 966 | IF(ll_tmp1) THEN |
---|
| 967 | zcpy(ji,jj) = 1.0_wp |
---|
| 968 | ELSE IF(ll_tmp2) THEN |
---|
| 969 | ! no worries about sshn(ji,jj+1) - sshn(ji,jj ) = 0, it won't happen ! here |
---|
| 970 | zcpy(ji,jj) = ABS( (sshn(ji,jj+1) + ht_0(ji,jj+1) - sshn(ji,jj) - ht_0(ji,jj)) & |
---|
| 971 | & / (sshn(ji,jj+1) - sshn(ji,jj )) ) |
---|
| 972 | zcpy(ji,jj) = max(min( zcpy(ji,jj) , 1.0_wp),0.0_wp) |
---|
| 973 | |
---|
[9019] | 974 | ELSE |
---|
| 975 | zcpy(ji,jj) = 0._wp |
---|
| 976 | ENDIF |
---|
| 977 | END DO |
---|
| 978 | END DO |
---|
[10425] | 979 | CALL lbc_lnk_multi( 'dynhpg', zcpx, 'U', 1., zcpy, 'V', 1. ) |
---|
[9019] | 980 | ENDIF |
---|
[6152] | 981 | |
---|
[3294] | 982 | ! Clean 3-D work arrays |
---|
| 983 | zhpi(:,:,:) = 0._wp |
---|
| 984 | zrhh(:,:,:) = rhd(:,:,:) |
---|
[3764] | 985 | |
---|
[3294] | 986 | ! Preparing vertical density profile "zrhh(:,:,:)" for hybrid-sco coordinate |
---|
| 987 | DO jj = 1, jpj |
---|
[3764] | 988 | DO ji = 1, jpi |
---|
[7646] | 989 | jk = mbkt(ji,jj)+1 |
---|
[6140] | 990 | IF( jk <= 0 ) THEN ; zrhh(ji,jj, : ) = 0._wp |
---|
| 991 | ELSEIF( jk == 1 ) THEN ; zrhh(ji,jj,jk+1:jpk) = rhd(ji,jj,jk) |
---|
| 992 | ELSEIF( jk < jpkm1 ) THEN |
---|
[3294] | 993 | DO jkk = jk+1, jpk |
---|
[6140] | 994 | zrhh(ji,jj,jkk) = interp1(gde3w_n(ji,jj,jkk ), gde3w_n(ji,jj,jkk-1), & |
---|
| 995 | & gde3w_n(ji,jj,jkk-2), rhd (ji,jj,jkk-1), rhd(ji,jj,jkk-2)) |
---|
[3764] | 996 | END DO |
---|
[3294] | 997 | ENDIF |
---|
| 998 | END DO |
---|
| 999 | END DO |
---|
[3] | 1000 | |
---|
[3632] | 1001 | ! Transfer the depth of "T(:,:,:)" to vertical coordinate "zdept(:,:,:)" |
---|
[4990] | 1002 | DO jj = 1, jpj |
---|
| 1003 | DO ji = 1, jpi |
---|
[6140] | 1004 | zdept(ji,jj,1) = 0.5_wp * e3w_n(ji,jj,1) - sshn(ji,jj) * znad |
---|
[4990] | 1005 | END DO |
---|
| 1006 | END DO |
---|
[455] | 1007 | |
---|
[4990] | 1008 | DO jk = 2, jpk |
---|
| 1009 | DO jj = 1, jpj |
---|
| 1010 | DO ji = 1, jpi |
---|
[6140] | 1011 | zdept(ji,jj,jk) = zdept(ji,jj,jk-1) + e3w_n(ji,jj,jk) |
---|
[4990] | 1012 | END DO |
---|
| 1013 | END DO |
---|
| 1014 | END DO |
---|
[455] | 1015 | |
---|
[4990] | 1016 | fsp(:,:,:) = zrhh (:,:,:) |
---|
[3632] | 1017 | xsp(:,:,:) = zdept(:,:,:) |
---|
| 1018 | |
---|
[3764] | 1019 | ! Construct the vertical density profile with the |
---|
[3294] | 1020 | ! constrained cubic spline interpolation |
---|
| 1021 | ! rho(z) = asp + bsp*z + csp*z^2 + dsp*z^3 |
---|
[6140] | 1022 | CALL cspline( fsp, xsp, asp, bsp, csp, dsp, polynomial_type ) |
---|
[3294] | 1023 | |
---|
| 1024 | ! Integrate the hydrostatic pressure "zhpi(:,:,:)" at "T(ji,jj,1)" |
---|
| 1025 | DO jj = 2, jpj |
---|
[3764] | 1026 | DO ji = 2, jpi |
---|
[6140] | 1027 | zrhdt1 = zrhh(ji,jj,1) - interp3( zdept(ji,jj,1), asp(ji,jj,1), bsp(ji,jj,1), & |
---|
| 1028 | & csp(ji,jj,1), dsp(ji,jj,1) ) * 0.25_wp * e3w_n(ji,jj,1) |
---|
[3294] | 1029 | |
---|
| 1030 | ! assuming linear profile across the top half surface layer |
---|
[6140] | 1031 | zhpi(ji,jj,1) = 0.5_wp * e3w_n(ji,jj,1) * zrhdt1 |
---|
[3294] | 1032 | END DO |
---|
[455] | 1033 | END DO |
---|
| 1034 | |
---|
[3294] | 1035 | ! Calculate the pressure "zhpi(:,:,:)" at "T(ji,jj,2:jpkm1)" |
---|
[3764] | 1036 | DO jk = 2, jpkm1 |
---|
| 1037 | DO jj = 2, jpj |
---|
[3294] | 1038 | DO ji = 2, jpi |
---|
[6140] | 1039 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) + & |
---|
| 1040 | & integ_spline( zdept(ji,jj,jk-1), zdept(ji,jj,jk), & |
---|
| 1041 | & asp (ji,jj,jk-1), bsp (ji,jj,jk-1), & |
---|
| 1042 | & csp (ji,jj,jk-1), dsp (ji,jj,jk-1) ) |
---|
[3294] | 1043 | END DO |
---|
| 1044 | END DO |
---|
[455] | 1045 | END DO |
---|
| 1046 | |
---|
[3294] | 1047 | ! Z coordinate of U(ji,jj,1:jpkm1) and V(ji,jj,1:jpkm1) |
---|
[5224] | 1048 | |
---|
| 1049 | ! Prepare zsshu_n and zsshv_n |
---|
[3764] | 1050 | DO jj = 2, jpjm1 |
---|
| 1051 | DO ji = 2, jpim1 |
---|
[6140] | 1052 | !!gm BUG ? if it is ssh at u- & v-point then it should be: |
---|
| 1053 | ! zsshu_n(ji,jj) = (e1e2t(ji,jj) * sshn(ji,jj) + e1e2t(ji+1,jj) * sshn(ji+1,jj)) * & |
---|
| 1054 | ! & r1_e1e2u(ji,jj) * umask(ji,jj,1) * 0.5_wp |
---|
| 1055 | ! zsshv_n(ji,jj) = (e1e2t(ji,jj) * sshn(ji,jj) + e1e2t(ji,jj+1) * sshn(ji,jj+1)) * & |
---|
| 1056 | ! & r1_e1e2v(ji,jj) * vmask(ji,jj,1) * 0.5_wp |
---|
| 1057 | !!gm not this: |
---|
[5836] | 1058 | zsshu_n(ji,jj) = (e1e2u(ji,jj) * sshn(ji,jj) + e1e2u(ji+1, jj) * sshn(ji+1,jj)) * & |
---|
| 1059 | & r1_e1e2u(ji,jj) * umask(ji,jj,1) * 0.5_wp |
---|
| 1060 | zsshv_n(ji,jj) = (e1e2v(ji,jj) * sshn(ji,jj) + e1e2v(ji+1, jj) * sshn(ji,jj+1)) * & |
---|
| 1061 | & r1_e1e2v(ji,jj) * vmask(ji,jj,1) * 0.5_wp |
---|
[3294] | 1062 | END DO |
---|
[455] | 1063 | END DO |
---|
| 1064 | |
---|
[10425] | 1065 | CALL lbc_lnk_multi ('dynhpg', zsshu_n, 'U', 1., zsshv_n, 'V', 1. ) |
---|
[6152] | 1066 | |
---|
[5224] | 1067 | DO jj = 2, jpjm1 |
---|
| 1068 | DO ji = 2, jpim1 |
---|
[6140] | 1069 | zu(ji,jj,1) = - ( e3u_n(ji,jj,1) - zsshu_n(ji,jj) * znad) |
---|
| 1070 | zv(ji,jj,1) = - ( e3v_n(ji,jj,1) - zsshv_n(ji,jj) * znad) |
---|
[5224] | 1071 | END DO |
---|
| 1072 | END DO |
---|
| 1073 | |
---|
[3764] | 1074 | DO jk = 2, jpkm1 |
---|
| 1075 | DO jj = 2, jpjm1 |
---|
| 1076 | DO ji = 2, jpim1 |
---|
[6140] | 1077 | zu(ji,jj,jk) = zu(ji,jj,jk-1) - e3u_n(ji,jj,jk) |
---|
| 1078 | zv(ji,jj,jk) = zv(ji,jj,jk-1) - e3v_n(ji,jj,jk) |
---|
[3294] | 1079 | END DO |
---|
| 1080 | END DO |
---|
[455] | 1081 | END DO |
---|
[3764] | 1082 | |
---|
| 1083 | DO jk = 1, jpkm1 |
---|
| 1084 | DO jj = 2, jpjm1 |
---|
| 1085 | DO ji = 2, jpim1 |
---|
[6140] | 1086 | zu(ji,jj,jk) = zu(ji,jj,jk) + 0.5_wp * e3u_n(ji,jj,jk) |
---|
| 1087 | zv(ji,jj,jk) = zv(ji,jj,jk) + 0.5_wp * e3v_n(ji,jj,jk) |
---|
[3294] | 1088 | END DO |
---|
| 1089 | END DO |
---|
| 1090 | END DO |
---|
[455] | 1091 | |
---|
[3632] | 1092 | DO jk = 1, jpkm1 |
---|
| 1093 | DO jj = 2, jpjm1 |
---|
| 1094 | DO ji = 2, jpim1 |
---|
[6140] | 1095 | zu(ji,jj,jk) = MIN( zu(ji,jj,jk) , MAX( -zdept(ji,jj,jk) , -zdept(ji+1,jj,jk) ) ) |
---|
| 1096 | zu(ji,jj,jk) = MAX( zu(ji,jj,jk) , MIN( -zdept(ji,jj,jk) , -zdept(ji+1,jj,jk) ) ) |
---|
| 1097 | zv(ji,jj,jk) = MIN( zv(ji,jj,jk) , MAX( -zdept(ji,jj,jk) , -zdept(ji,jj+1,jk) ) ) |
---|
| 1098 | zv(ji,jj,jk) = MAX( zv(ji,jj,jk) , MIN( -zdept(ji,jj,jk) , -zdept(ji,jj+1,jk) ) ) |
---|
[3632] | 1099 | END DO |
---|
| 1100 | END DO |
---|
| 1101 | END DO |
---|
| 1102 | |
---|
| 1103 | |
---|
[3764] | 1104 | DO jk = 1, jpkm1 |
---|
| 1105 | DO jj = 2, jpjm1 |
---|
| 1106 | DO ji = 2, jpim1 |
---|
[3294] | 1107 | zpwes = 0._wp; zpwed = 0._wp |
---|
| 1108 | zpnss = 0._wp; zpnsd = 0._wp |
---|
| 1109 | zuijk = zu(ji,jj,jk) |
---|
| 1110 | zvijk = zv(ji,jj,jk) |
---|
| 1111 | |
---|
| 1112 | !!!!! for u equation |
---|
| 1113 | IF( jk <= mbku(ji,jj) ) THEN |
---|
[3632] | 1114 | IF( -zdept(ji+1,jj,jk) >= -zdept(ji,jj,jk) ) THEN |
---|
[3294] | 1115 | jis = ji + 1; jid = ji |
---|
| 1116 | ELSE |
---|
| 1117 | jis = ji; jid = ji +1 |
---|
| 1118 | ENDIF |
---|
| 1119 | |
---|
| 1120 | ! integrate the pressure on the shallow side |
---|
[3764] | 1121 | jk1 = jk |
---|
[3632] | 1122 | DO WHILE ( -zdept(jis,jj,jk1) > zuijk ) |
---|
[3294] | 1123 | IF( jk1 == mbku(ji,jj) ) THEN |
---|
[3632] | 1124 | zuijk = -zdept(jis,jj,jk1) |
---|
[3294] | 1125 | EXIT |
---|
| 1126 | ENDIF |
---|
[3632] | 1127 | zdeps = MIN(zdept(jis,jj,jk1+1), -zuijk) |
---|
[3764] | 1128 | zpwes = zpwes + & |
---|
[3632] | 1129 | integ_spline(zdept(jis,jj,jk1), zdeps, & |
---|
[3294] | 1130 | asp(jis,jj,jk1), bsp(jis,jj,jk1), & |
---|
| 1131 | csp(jis,jj,jk1), dsp(jis,jj,jk1)) |
---|
| 1132 | jk1 = jk1 + 1 |
---|
| 1133 | END DO |
---|
[3764] | 1134 | |
---|
[3294] | 1135 | ! integrate the pressure on the deep side |
---|
[3764] | 1136 | jk1 = jk |
---|
[3632] | 1137 | DO WHILE ( -zdept(jid,jj,jk1) < zuijk ) |
---|
[3294] | 1138 | IF( jk1 == 1 ) THEN |
---|
[3632] | 1139 | zdeps = zdept(jid,jj,1) + MIN(zuijk, sshn(jid,jj)*znad) |
---|
| 1140 | zrhdt1 = zrhh(jid,jj,1) - interp3(zdept(jid,jj,1), asp(jid,jj,1), & |
---|
| 1141 | bsp(jid,jj,1), csp(jid,jj,1), & |
---|
| 1142 | dsp(jid,jj,1)) * zdeps |
---|
| 1143 | zpwed = zpwed + 0.5_wp * (zrhh(jid,jj,1) + zrhdt1) * zdeps |
---|
[3294] | 1144 | EXIT |
---|
| 1145 | ENDIF |
---|
[3632] | 1146 | zdeps = MAX(zdept(jid,jj,jk1-1), -zuijk) |
---|
[3764] | 1147 | zpwed = zpwed + & |
---|
[3632] | 1148 | integ_spline(zdeps, zdept(jid,jj,jk1), & |
---|
[3294] | 1149 | asp(jid,jj,jk1-1), bsp(jid,jj,jk1-1), & |
---|
| 1150 | csp(jid,jj,jk1-1), dsp(jid,jj,jk1-1) ) |
---|
| 1151 | jk1 = jk1 - 1 |
---|
| 1152 | END DO |
---|
[3764] | 1153 | |
---|
[3294] | 1154 | ! update the momentum trends in u direction |
---|
| 1155 | |
---|
[6140] | 1156 | zdpdx1 = zcoef0 * r1_e1u(ji,jj) * ( zhpi(ji+1,jj,jk) - zhpi(ji,jj,jk) ) |
---|
| 1157 | IF( .NOT.ln_linssh ) THEN |
---|
| 1158 | zdpdx2 = zcoef0 * r1_e1u(ji,jj) * & |
---|
| 1159 | & ( REAL(jis-jid, wp) * (zpwes + zpwed) + (sshn(ji+1,jj)-sshn(ji,jj)) ) |
---|
[3294] | 1160 | ELSE |
---|
[6140] | 1161 | zdpdx2 = zcoef0 * r1_e1u(ji,jj) * REAL(jis-jid, wp) * (zpwes + zpwed) |
---|
[3294] | 1162 | ENDIF |
---|
[9023] | 1163 | IF( ln_wd_il ) THEN |
---|
| 1164 | zdpdx1 = zdpdx1 * zcpx(ji,jj) * wdrampu(ji,jj) |
---|
| 1165 | zdpdx2 = zdpdx2 * zcpx(ji,jj) * wdrampu(ji,jj) |
---|
[6152] | 1166 | ENDIF |
---|
| 1167 | ua(ji,jj,jk) = ua(ji,jj,jk) + (zdpdx1 + zdpdx2) * umask(ji,jj,jk) |
---|
[3294] | 1168 | ENDIF |
---|
[3764] | 1169 | |
---|
[3294] | 1170 | !!!!! for v equation |
---|
| 1171 | IF( jk <= mbkv(ji,jj) ) THEN |
---|
[3632] | 1172 | IF( -zdept(ji,jj+1,jk) >= -zdept(ji,jj,jk) ) THEN |
---|
[3294] | 1173 | jjs = jj + 1; jjd = jj |
---|
| 1174 | ELSE |
---|
| 1175 | jjs = jj ; jjd = jj + 1 |
---|
| 1176 | ENDIF |
---|
| 1177 | |
---|
| 1178 | ! integrate the pressure on the shallow side |
---|
[3764] | 1179 | jk1 = jk |
---|
[3632] | 1180 | DO WHILE ( -zdept(ji,jjs,jk1) > zvijk ) |
---|
[3294] | 1181 | IF( jk1 == mbkv(ji,jj) ) THEN |
---|
[3632] | 1182 | zvijk = -zdept(ji,jjs,jk1) |
---|
[3294] | 1183 | EXIT |
---|
| 1184 | ENDIF |
---|
[3632] | 1185 | zdeps = MIN(zdept(ji,jjs,jk1+1), -zvijk) |
---|
[3764] | 1186 | zpnss = zpnss + & |
---|
[3632] | 1187 | integ_spline(zdept(ji,jjs,jk1), zdeps, & |
---|
[3294] | 1188 | asp(ji,jjs,jk1), bsp(ji,jjs,jk1), & |
---|
| 1189 | csp(ji,jjs,jk1), dsp(ji,jjs,jk1) ) |
---|
| 1190 | jk1 = jk1 + 1 |
---|
| 1191 | END DO |
---|
[3764] | 1192 | |
---|
[3294] | 1193 | ! integrate the pressure on the deep side |
---|
[3764] | 1194 | jk1 = jk |
---|
[3632] | 1195 | DO WHILE ( -zdept(ji,jjd,jk1) < zvijk ) |
---|
[3294] | 1196 | IF( jk1 == 1 ) THEN |
---|
[3632] | 1197 | zdeps = zdept(ji,jjd,1) + MIN(zvijk, sshn(ji,jjd)*znad) |
---|
| 1198 | zrhdt1 = zrhh(ji,jjd,1) - interp3(zdept(ji,jjd,1), asp(ji,jjd,1), & |
---|
| 1199 | bsp(ji,jjd,1), csp(ji,jjd,1), & |
---|
| 1200 | dsp(ji,jjd,1) ) * zdeps |
---|
| 1201 | zpnsd = zpnsd + 0.5_wp * (zrhh(ji,jjd,1) + zrhdt1) * zdeps |
---|
[3294] | 1202 | EXIT |
---|
| 1203 | ENDIF |
---|
[3632] | 1204 | zdeps = MAX(zdept(ji,jjd,jk1-1), -zvijk) |
---|
[3764] | 1205 | zpnsd = zpnsd + & |
---|
[3632] | 1206 | integ_spline(zdeps, zdept(ji,jjd,jk1), & |
---|
[3294] | 1207 | asp(ji,jjd,jk1-1), bsp(ji,jjd,jk1-1), & |
---|
| 1208 | csp(ji,jjd,jk1-1), dsp(ji,jjd,jk1-1) ) |
---|
| 1209 | jk1 = jk1 - 1 |
---|
| 1210 | END DO |
---|
| 1211 | |
---|
[3764] | 1212 | |
---|
[3294] | 1213 | ! update the momentum trends in v direction |
---|
| 1214 | |
---|
[6140] | 1215 | zdpdy1 = zcoef0 * r1_e2v(ji,jj) * ( zhpi(ji,jj+1,jk) - zhpi(ji,jj,jk) ) |
---|
| 1216 | IF( .NOT.ln_linssh ) THEN |
---|
| 1217 | zdpdy2 = zcoef0 * r1_e2v(ji,jj) * & |
---|
| 1218 | ( REAL(jjs-jjd, wp) * (zpnss + zpnsd) + (sshn(ji,jj+1)-sshn(ji,jj)) ) |
---|
[3294] | 1219 | ELSE |
---|
[6140] | 1220 | zdpdy2 = zcoef0 * r1_e2v(ji,jj) * REAL(jjs-jjd, wp) * (zpnss + zpnsd ) |
---|
[3294] | 1221 | ENDIF |
---|
[9023] | 1222 | IF( ln_wd_il ) THEN |
---|
| 1223 | zdpdy1 = zdpdy1 * zcpy(ji,jj) * wdrampv(ji,jj) |
---|
| 1224 | zdpdy2 = zdpdy2 * zcpy(ji,jj) * wdrampv(ji,jj) |
---|
[6152] | 1225 | ENDIF |
---|
| 1226 | |
---|
| 1227 | va(ji,jj,jk) = va(ji,jj,jk) + (zdpdy1 + zdpdy2) * vmask(ji,jj,jk) |
---|
[3294] | 1228 | ENDIF |
---|
[6140] | 1229 | ! |
---|
| 1230 | END DO |
---|
| 1231 | END DO |
---|
[455] | 1232 | END DO |
---|
[503] | 1233 | ! |
---|
[9023] | 1234 | IF( ln_wd_il ) DEALLOCATE( zcpx, zcpy ) |
---|
[2715] | 1235 | ! |
---|
[3294] | 1236 | END SUBROUTINE hpg_prj |
---|
[455] | 1237 | |
---|
[4990] | 1238 | |
---|
[6140] | 1239 | SUBROUTINE cspline( fsp, xsp, asp, bsp, csp, dsp, polynomial_type ) |
---|
[3294] | 1240 | !!---------------------------------------------------------------------- |
---|
| 1241 | !! *** ROUTINE cspline *** |
---|
[3764] | 1242 | !! |
---|
[3294] | 1243 | !! ** Purpose : constrained cubic spline interpolation |
---|
[3764] | 1244 | !! |
---|
| 1245 | !! ** Method : f(x) = asp + bsp*x + csp*x^2 + dsp*x^3 |
---|
[4990] | 1246 | !! |
---|
[3294] | 1247 | !! Reference: CJC Kruger, Constrained Cubic Spline Interpoltation |
---|
| 1248 | !!---------------------------------------------------------------------- |
---|
[6140] | 1249 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: fsp, xsp ! value and coordinate |
---|
| 1250 | REAL(wp), DIMENSION(:,:,:), INTENT( out) :: asp, bsp, csp, dsp ! coefficients of the interpoated function |
---|
| 1251 | INTEGER , INTENT(in ) :: polynomial_type ! 1: cubic spline ; 2: Linear |
---|
[4990] | 1252 | ! |
---|
[3294] | 1253 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 1254 | INTEGER :: jpi, jpj, jpkm1 |
---|
| 1255 | REAL(wp) :: zdf1, zdf2, zddf1, zddf2, ztmp1, ztmp2, zdxtmp |
---|
| 1256 | REAL(wp) :: zdxtmp1, zdxtmp2, zalpha |
---|
| 1257 | REAL(wp) :: zdf(size(fsp,3)) |
---|
| 1258 | !!---------------------------------------------------------------------- |
---|
[6140] | 1259 | ! |
---|
| 1260 | !!gm WHAT !!!!! THIS IS VERY DANGEROUS !!!!! |
---|
[3294] | 1261 | jpi = size(fsp,1) |
---|
| 1262 | jpj = size(fsp,2) |
---|
[7761] | 1263 | jpkm1 = MAX( 1, size(fsp,3) - 1 ) |
---|
[6140] | 1264 | ! |
---|
[3294] | 1265 | IF (polynomial_type == 1) THEN ! Constrained Cubic Spline |
---|
| 1266 | DO ji = 1, jpi |
---|
| 1267 | DO jj = 1, jpj |
---|
[3764] | 1268 | !!Fritsch&Butland's method, 1984 (preferred, but more computation) |
---|
[3294] | 1269 | ! DO jk = 2, jpkm1-1 |
---|
[3764] | 1270 | ! zdxtmp1 = xsp(ji,jj,jk) - xsp(ji,jj,jk-1) |
---|
| 1271 | ! zdxtmp2 = xsp(ji,jj,jk+1) - xsp(ji,jj,jk) |
---|
[3294] | 1272 | ! zdf1 = ( fsp(ji,jj,jk) - fsp(ji,jj,jk-1) ) / zdxtmp1 |
---|
| 1273 | ! zdf2 = ( fsp(ji,jj,jk+1) - fsp(ji,jj,jk) ) / zdxtmp2 |
---|
| 1274 | ! |
---|
| 1275 | ! zalpha = ( zdxtmp1 + 2._wp * zdxtmp2 ) / ( zdxtmp1 + zdxtmp2 ) / 3._wp |
---|
[3764] | 1276 | ! |
---|
[3294] | 1277 | ! IF(zdf1 * zdf2 <= 0._wp) THEN |
---|
| 1278 | ! zdf(jk) = 0._wp |
---|
| 1279 | ! ELSE |
---|
| 1280 | ! zdf(jk) = zdf1 * zdf2 / ( ( 1._wp - zalpha ) * zdf1 + zalpha * zdf2 ) |
---|
| 1281 | ! ENDIF |
---|
| 1282 | ! END DO |
---|
[3764] | 1283 | |
---|
[3294] | 1284 | !!Simply geometric average |
---|
| 1285 | DO jk = 2, jpkm1-1 |
---|
[9019] | 1286 | zdf1 = (fsp(ji,jj,jk ) - fsp(ji,jj,jk-1)) / (xsp(ji,jj,jk ) - xsp(ji,jj,jk-1)) |
---|
| 1287 | zdf2 = (fsp(ji,jj,jk+1) - fsp(ji,jj,jk )) / (xsp(ji,jj,jk+1) - xsp(ji,jj,jk )) |
---|
[3764] | 1288 | |
---|
[3294] | 1289 | IF(zdf1 * zdf2 <= 0._wp) THEN |
---|
| 1290 | zdf(jk) = 0._wp |
---|
| 1291 | ELSE |
---|
| 1292 | zdf(jk) = 2._wp * zdf1 * zdf2 / (zdf1 + zdf2) |
---|
| 1293 | ENDIF |
---|
| 1294 | END DO |
---|
[3764] | 1295 | |
---|
[3294] | 1296 | zdf(1) = 1.5_wp * ( fsp(ji,jj,2) - fsp(ji,jj,1) ) / & |
---|
[6140] | 1297 | & ( xsp(ji,jj,2) - xsp(ji,jj,1) ) - 0.5_wp * zdf(2) |
---|
[3294] | 1298 | zdf(jpkm1) = 1.5_wp * ( fsp(ji,jj,jpkm1) - fsp(ji,jj,jpkm1-1) ) / & |
---|
[6140] | 1299 | & ( xsp(ji,jj,jpkm1) - xsp(ji,jj,jpkm1-1) ) - 0.5_wp * zdf(jpkm1 - 1) |
---|
[3764] | 1300 | |
---|
[3294] | 1301 | DO jk = 1, jpkm1 - 1 |
---|
[3764] | 1302 | zdxtmp = xsp(ji,jj,jk+1) - xsp(ji,jj,jk) |
---|
[3294] | 1303 | ztmp1 = (zdf(jk+1) + 2._wp * zdf(jk)) / zdxtmp |
---|
| 1304 | ztmp2 = 6._wp * (fsp(ji,jj,jk+1) - fsp(ji,jj,jk)) / zdxtmp / zdxtmp |
---|
[3764] | 1305 | zddf1 = -2._wp * ztmp1 + ztmp2 |
---|
[3294] | 1306 | ztmp1 = (2._wp * zdf(jk+1) + zdf(jk)) / zdxtmp |
---|
[3764] | 1307 | zddf2 = 2._wp * ztmp1 - ztmp2 |
---|
| 1308 | |
---|
[3294] | 1309 | dsp(ji,jj,jk) = (zddf2 - zddf1) / 6._wp / zdxtmp |
---|
| 1310 | csp(ji,jj,jk) = ( xsp(ji,jj,jk+1) * zddf1 - xsp(ji,jj,jk)*zddf2 ) / 2._wp / zdxtmp |
---|
[3764] | 1311 | bsp(ji,jj,jk) = ( fsp(ji,jj,jk+1) - fsp(ji,jj,jk) ) / zdxtmp - & |
---|
[3294] | 1312 | & csp(ji,jj,jk) * ( xsp(ji,jj,jk+1) + xsp(ji,jj,jk) ) - & |
---|
| 1313 | & dsp(ji,jj,jk) * ((xsp(ji,jj,jk+1) + xsp(ji,jj,jk))**2 - & |
---|
| 1314 | & xsp(ji,jj,jk+1) * xsp(ji,jj,jk)) |
---|
| 1315 | asp(ji,jj,jk) = fsp(ji,jj,jk) - xsp(ji,jj,jk) * (bsp(ji,jj,jk) + & |
---|
| 1316 | & (xsp(ji,jj,jk) * (csp(ji,jj,jk) + & |
---|
| 1317 | & dsp(ji,jj,jk) * xsp(ji,jj,jk)))) |
---|
| 1318 | END DO |
---|
| 1319 | END DO |
---|
| 1320 | END DO |
---|
[3764] | 1321 | |
---|
[6140] | 1322 | ELSEIF ( polynomial_type == 2 ) THEN ! Linear |
---|
[3294] | 1323 | DO ji = 1, jpi |
---|
| 1324 | DO jj = 1, jpj |
---|
| 1325 | DO jk = 1, jpkm1-1 |
---|
[3764] | 1326 | zdxtmp =xsp(ji,jj,jk+1) - xsp(ji,jj,jk) |
---|
[3294] | 1327 | ztmp1 = fsp(ji,jj,jk+1) - fsp(ji,jj,jk) |
---|
[3764] | 1328 | |
---|
[3294] | 1329 | dsp(ji,jj,jk) = 0._wp |
---|
| 1330 | csp(ji,jj,jk) = 0._wp |
---|
| 1331 | bsp(ji,jj,jk) = ztmp1 / zdxtmp |
---|
| 1332 | asp(ji,jj,jk) = fsp(ji,jj,jk) - bsp(ji,jj,jk) * xsp(ji,jj,jk) |
---|
| 1333 | END DO |
---|
| 1334 | END DO |
---|
| 1335 | END DO |
---|
[9019] | 1336 | ! |
---|
[3294] | 1337 | ELSE |
---|
[9019] | 1338 | CALL ctl_stop( 'invalid polynomial type in cspline' ) |
---|
[3294] | 1339 | ENDIF |
---|
[9019] | 1340 | ! |
---|
[3294] | 1341 | END SUBROUTINE cspline |
---|
| 1342 | |
---|
| 1343 | |
---|
[3764] | 1344 | FUNCTION interp1(x, xl, xr, fl, fr) RESULT(f) |
---|
[3294] | 1345 | !!---------------------------------------------------------------------- |
---|
| 1346 | !! *** ROUTINE interp1 *** |
---|
[3764] | 1347 | !! |
---|
[3294] | 1348 | !! ** Purpose : 1-d linear interpolation |
---|
[3764] | 1349 | !! |
---|
[4990] | 1350 | !! ** Method : interpolation is straight forward |
---|
[3764] | 1351 | !! extrapolation is also permitted (no value limit) |
---|
[3294] | 1352 | !!---------------------------------------------------------------------- |
---|
[3764] | 1353 | REAL(wp), INTENT(in) :: x, xl, xr, fl, fr |
---|
[3294] | 1354 | REAL(wp) :: f ! result of the interpolation (extrapolation) |
---|
| 1355 | REAL(wp) :: zdeltx |
---|
| 1356 | !!---------------------------------------------------------------------- |
---|
[6140] | 1357 | ! |
---|
[3294] | 1358 | zdeltx = xr - xl |
---|
[6140] | 1359 | IF( abs(zdeltx) <= 10._wp * EPSILON(x) ) THEN |
---|
| 1360 | f = 0.5_wp * (fl + fr) |
---|
[3294] | 1361 | ELSE |
---|
[6140] | 1362 | f = ( (x - xl ) * fr - ( x - xr ) * fl ) / zdeltx |
---|
[3294] | 1363 | ENDIF |
---|
[6140] | 1364 | ! |
---|
[3294] | 1365 | END FUNCTION interp1 |
---|
| 1366 | |
---|
[4990] | 1367 | |
---|
[6140] | 1368 | FUNCTION interp2( x, a, b, c, d ) RESULT(f) |
---|
[3294] | 1369 | !!---------------------------------------------------------------------- |
---|
| 1370 | !! *** ROUTINE interp1 *** |
---|
[3764] | 1371 | !! |
---|
[3294] | 1372 | !! ** Purpose : 1-d constrained cubic spline interpolation |
---|
[3764] | 1373 | !! |
---|
[3294] | 1374 | !! ** Method : cubic spline interpolation |
---|
| 1375 | !! |
---|
| 1376 | !!---------------------------------------------------------------------- |
---|
[3764] | 1377 | REAL(wp), INTENT(in) :: x, a, b, c, d |
---|
[3294] | 1378 | REAL(wp) :: f ! value from the interpolation |
---|
| 1379 | !!---------------------------------------------------------------------- |
---|
[6140] | 1380 | ! |
---|
[3764] | 1381 | f = a + x* ( b + x * ( c + d * x ) ) |
---|
[6140] | 1382 | ! |
---|
[3294] | 1383 | END FUNCTION interp2 |
---|
| 1384 | |
---|
| 1385 | |
---|
[6140] | 1386 | FUNCTION interp3( x, a, b, c, d ) RESULT(f) |
---|
[3294] | 1387 | !!---------------------------------------------------------------------- |
---|
| 1388 | !! *** ROUTINE interp1 *** |
---|
[3764] | 1389 | !! |
---|
[9019] | 1390 | !! ** Purpose : Calculate the first order of derivative of |
---|
[3294] | 1391 | !! a cubic spline function y=a+b*x+c*x^2+d*x^3 |
---|
[3764] | 1392 | !! |
---|
[3294] | 1393 | !! ** Method : f=dy/dx=b+2*c*x+3*d*x^2 |
---|
| 1394 | !! |
---|
| 1395 | !!---------------------------------------------------------------------- |
---|
[3764] | 1396 | REAL(wp), INTENT(in) :: x, a, b, c, d |
---|
[3294] | 1397 | REAL(wp) :: f ! value from the interpolation |
---|
| 1398 | !!---------------------------------------------------------------------- |
---|
[6140] | 1399 | ! |
---|
[3294] | 1400 | f = b + x * ( 2._wp * c + 3._wp * d * x) |
---|
[6140] | 1401 | ! |
---|
[3294] | 1402 | END FUNCTION interp3 |
---|
| 1403 | |
---|
[3764] | 1404 | |
---|
[6140] | 1405 | FUNCTION integ_spline( xl, xr, a, b, c, d ) RESULT(f) |
---|
[3294] | 1406 | !!---------------------------------------------------------------------- |
---|
| 1407 | !! *** ROUTINE interp1 *** |
---|
[3764] | 1408 | !! |
---|
[3294] | 1409 | !! ** Purpose : 1-d constrained cubic spline integration |
---|
| 1410 | !! |
---|
[3764] | 1411 | !! ** Method : integrate polynomial a+bx+cx^2+dx^3 from xl to xr |
---|
| 1412 | !! |
---|
[3294] | 1413 | !!---------------------------------------------------------------------- |
---|
[3764] | 1414 | REAL(wp), INTENT(in) :: xl, xr, a, b, c, d |
---|
| 1415 | REAL(wp) :: za1, za2, za3 |
---|
[3294] | 1416 | REAL(wp) :: f ! integration result |
---|
| 1417 | !!---------------------------------------------------------------------- |
---|
[6140] | 1418 | ! |
---|
[3764] | 1419 | za1 = 0.5_wp * b |
---|
| 1420 | za2 = c / 3.0_wp |
---|
| 1421 | za3 = 0.25_wp * d |
---|
[6140] | 1422 | ! |
---|
[3294] | 1423 | f = xr * ( a + xr * ( za1 + xr * ( za2 + za3 * xr ) ) ) - & |
---|
| 1424 | & xl * ( a + xl * ( za1 + xl * ( za2 + za3 * xl ) ) ) |
---|
[6140] | 1425 | ! |
---|
[3632] | 1426 | END FUNCTION integ_spline |
---|
[3294] | 1427 | |
---|
[3] | 1428 | !!====================================================================== |
---|
| 1429 | END MODULE dynhpg |
---|
[3632] | 1430 | |
---|