[3] | 1 | MODULE dynvor |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE dynvor *** |
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| 4 | !! Ocean dynamics: Update the momentum trend with the relative and |
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| 5 | !! planetary vorticity trends |
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| 6 | !!====================================================================== |
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[2715] | 7 | !! History : OPA ! 1989-12 (P. Andrich) vor_ens: Original code |
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[9528] | 8 | !! 5.0 ! 1991-11 (G. Madec) vor_ene, vor_mix: Original code |
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[2715] | 9 | !! 6.0 ! 1996-01 (G. Madec) s-coord, suppress work arrays |
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| 10 | !! NEMO 0.5 ! 2002-08 (G. Madec) F90: Free form and module |
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| 11 | !! 1.0 ! 2004-02 (G. Madec) vor_een: Original code |
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| 12 | !! - ! 2003-08 (G. Madec) add vor_ctl |
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| 13 | !! - ! 2005-11 (G. Madec) add dyn_vor (new step architecture) |
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| 14 | !! 2.0 ! 2006-11 (G. Madec) flux form advection: add metric term |
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| 15 | !! 3.2 ! 2009-04 (R. Benshila) vvl: correction of een scheme |
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[9019] | 16 | !! 3.3 ! 2010-10 (C. Ethe, G. Madec) reorganisation of initialisation phase |
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| 17 | !! 3.7 ! 2014-04 (G. Madec) trend simplification: suppress jpdyn_trd_dat vorticity |
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| 18 | !! - ! 2014-06 (G. Madec) suppression of velocity curl from in-core memory |
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[7646] | 19 | !! - ! 2016-12 (G. Madec, E. Clementi) add Stokes-Coriolis trends (ln_stcor=T) |
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[9019] | 20 | !! 4.0 ! 2017-07 (G. Madec) linear dynamics + trends diag. with Stokes-Coriolis |
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[9528] | 21 | !! - ! 2018-03 (G. Madec) add two new schemes (ln_dynvor_enT and ln_dynvor_eet) |
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| 22 | !! - ! 2018-04 (G. Madec) add pre-computed gradient for metric term calculation |
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[503] | 23 | !!---------------------------------------------------------------------- |
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[3] | 24 | |
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| 25 | !!---------------------------------------------------------------------- |
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[9019] | 26 | !! dyn_vor : Update the momentum trend with the vorticity trend |
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| 27 | !! vor_ens : enstrophy conserving scheme (ln_dynvor_ens=T) |
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| 28 | !! vor_ene : energy conserving scheme (ln_dynvor_ene=T) |
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| 29 | !! vor_een : energy and enstrophy conserving (ln_dynvor_een=T) |
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| 30 | !! dyn_vor_init : set and control of the different vorticity option |
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[3] | 31 | !!---------------------------------------------------------------------- |
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[503] | 32 | USE oce ! ocean dynamics and tracers |
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| 33 | USE dom_oce ! ocean space and time domain |
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[3294] | 34 | USE dommsk ! ocean mask |
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[9019] | 35 | USE dynadv ! momentum advection |
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[4990] | 36 | USE trd_oce ! trends: ocean variables |
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| 37 | USE trddyn ! trend manager: dynamics |
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[7646] | 38 | USE sbcwave ! Surface Waves (add Stokes-Coriolis force) |
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| 39 | USE sbc_oce , ONLY : ln_stcor ! use Stoke-Coriolis force |
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[5836] | 40 | ! |
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[503] | 41 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 42 | USE prtctl ! Print control |
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| 43 | USE in_out_manager ! I/O manager |
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[3294] | 44 | USE lib_mpp ! MPP library |
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| 45 | USE timing ! Timing |
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[3] | 46 | |
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| 47 | IMPLICIT NONE |
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| 48 | PRIVATE |
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| 49 | |
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[2528] | 50 | PUBLIC dyn_vor ! routine called by step.F90 |
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[5836] | 51 | PUBLIC dyn_vor_init ! routine called by nemogcm.F90 |
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[3] | 52 | |
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[4147] | 53 | ! !!* Namelist namdyn_vor: vorticity term |
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[9528] | 54 | LOGICAL, PUBLIC :: ln_dynvor_ens !: enstrophy conserving scheme (ENS) |
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| 55 | LOGICAL, PUBLIC :: ln_dynvor_ene !: f-point energy conserving scheme (ENE) |
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| 56 | LOGICAL, PUBLIC :: ln_dynvor_enT !: t-point energy conserving scheme (ENT) |
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| 57 | LOGICAL, PUBLIC :: ln_dynvor_eeT !: t-point energy conserving scheme (EET) |
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| 58 | LOGICAL, PUBLIC :: ln_dynvor_een !: energy & enstrophy conserving scheme (EEN) |
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[5836] | 59 | INTEGER, PUBLIC :: nn_een_e3f !: e3f=masked averaging of e3t divided by 4 (=0) or by the sum of mask (=1) |
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[9528] | 60 | LOGICAL, PUBLIC :: ln_dynvor_mix !: mixed scheme (MIX) |
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[5836] | 61 | LOGICAL, PUBLIC :: ln_dynvor_msk !: vorticity multiplied by fmask (=T) or not (=F) (all vorticity schemes) |
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[3] | 62 | |
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[9528] | 63 | INTEGER, PUBLIC :: nvor_scheme !: choice of the type of advection scheme |
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| 64 | ! ! associated indices: |
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| 65 | INTEGER, PUBLIC, PARAMETER :: np_ENS = 0 ! ENS scheme |
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[5836] | 66 | INTEGER, PUBLIC, PARAMETER :: np_ENE = 1 ! ENE scheme |
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[9528] | 67 | INTEGER, PUBLIC, PARAMETER :: np_ENT = 2 ! ENT scheme (t-point vorticity) |
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| 68 | INTEGER, PUBLIC, PARAMETER :: np_EET = 3 ! EET scheme (EEN using e3t) |
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[5836] | 69 | INTEGER, PUBLIC, PARAMETER :: np_EEN = 4 ! EEN scheme |
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[9528] | 70 | INTEGER, PUBLIC, PARAMETER :: np_MIX = 5 ! MIX scheme |
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[455] | 71 | |
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[5836] | 72 | INTEGER :: ncor, nrvm, ntot ! choice of calculated vorticity |
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| 73 | ! ! associated indices: |
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[9528] | 74 | INTEGER, PUBLIC, PARAMETER :: np_COR = 1 ! Coriolis (planetary) |
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| 75 | INTEGER, PUBLIC, PARAMETER :: np_RVO = 2 ! relative vorticity |
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| 76 | INTEGER, PUBLIC, PARAMETER :: np_MET = 3 ! metric term |
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| 77 | INTEGER, PUBLIC, PARAMETER :: np_CRV = 4 ! relative + planetary (total vorticity) |
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| 78 | INTEGER, PUBLIC, PARAMETER :: np_CME = 5 ! Coriolis + metric term |
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| 79 | |
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| 80 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: di_e2u_2 ! = di(e2u)/2 used in T-point metric term calculation |
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| 81 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: dj_e1v_2 ! = dj(e1v)/2 - - - - |
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| 82 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: di_e2v_2e1e2f ! = di(e2u)/(2*e1e2f) used in F-point metric term calculation |
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| 83 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: dj_e1u_2e1e2f ! = dj(e1v)/(2*e1e2f) - - - - |
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[5836] | 84 | |
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| 85 | REAL(wp) :: r1_4 = 0.250_wp ! =1/4 |
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| 86 | REAL(wp) :: r1_8 = 0.125_wp ! =1/8 |
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| 87 | REAL(wp) :: r1_12 = 1._wp / 12._wp ! 1/12 |
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| 88 | |
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[3] | 89 | !! * Substitutions |
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| 90 | # include "vectopt_loop_substitute.h90" |
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| 91 | !!---------------------------------------------------------------------- |
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[9598] | 92 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[1152] | 93 | !! $Id$ |
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[10068] | 94 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[3] | 95 | !!---------------------------------------------------------------------- |
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| 96 | CONTAINS |
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| 97 | |
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[455] | 98 | SUBROUTINE dyn_vor( kt ) |
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[3] | 99 | !!---------------------------------------------------------------------- |
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| 100 | !! |
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[455] | 101 | !! ** Purpose : compute the lateral ocean tracer physics. |
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| 102 | !! |
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| 103 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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[503] | 104 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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[4990] | 105 | !! and planetary vorticity trends) and send them to trd_dyn |
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| 106 | !! for futher diagnostics (l_trddyn=T) |
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[503] | 107 | !!---------------------------------------------------------------------- |
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[3294] | 108 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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[2715] | 109 | ! |
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[9019] | 110 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: ztrdu, ztrdv |
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[455] | 111 | !!---------------------------------------------------------------------- |
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[2715] | 112 | ! |
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[9019] | 113 | IF( ln_timing ) CALL timing_start('dyn_vor') |
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[3294] | 114 | ! |
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[9019] | 115 | IF( l_trddyn ) THEN !== trend diagnostics case : split the added trend in two parts ==! |
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| 116 | ! |
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| 117 | ALLOCATE( ztrdu(jpi,jpj,jpk), ztrdv(jpi,jpj,jpk) ) |
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| 118 | ! |
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| 119 | ztrdu(:,:,:) = ua(:,:,:) !* planetary vorticity trend (including Stokes-Coriolis force) |
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| 120 | ztrdv(:,:,:) = va(:,:,:) |
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| 121 | SELECT CASE( nvor_scheme ) |
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[9528] | 122 | CASE( np_ENS ) ; CALL vor_ens( kt, ncor, un , vn , ua, va ) ! enstrophy conserving scheme |
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| 123 | IF( ln_stcor ) CALL vor_ens( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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[9019] | 124 | CASE( np_ENE, np_MIX ) ; CALL vor_ene( kt, ncor, un , vn , ua, va ) ! energy conserving scheme |
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| 125 | IF( ln_stcor ) CALL vor_ene( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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[9528] | 126 | CASE( np_ENT ) ; CALL vor_enT( kt, ncor, un , vn , ua, va ) ! energy conserving scheme (T-pts) |
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| 127 | IF( ln_stcor ) CALL vor_enT( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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| 128 | CASE( np_EET ) ; CALL vor_eeT( kt, ncor, un , vn , ua, va ) ! energy conserving scheme (een with e3t) |
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| 129 | IF( ln_stcor ) CALL vor_eeT( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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[9019] | 130 | CASE( np_EEN ) ; CALL vor_een( kt, ncor, un , vn , ua, va ) ! energy & enstrophy scheme |
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| 131 | IF( ln_stcor ) CALL vor_een( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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| 132 | END SELECT |
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| 133 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 134 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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| 135 | CALL trd_dyn( ztrdu, ztrdv, jpdyn_pvo, kt ) |
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| 136 | ! |
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| 137 | IF( n_dynadv /= np_LIN_dyn ) THEN !* relative vorticity or metric trend (only in non-linear case) |
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[7753] | 138 | ztrdu(:,:,:) = ua(:,:,:) |
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| 139 | ztrdv(:,:,:) = va(:,:,:) |
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[9019] | 140 | SELECT CASE( nvor_scheme ) |
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[9528] | 141 | CASE( np_ENT ) ; CALL vor_enT( kt, nrvm, un , vn , ua, va ) ! energy conserving scheme (T-pts) |
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| 142 | CASE( np_EET ) ; CALL vor_eeT( kt, nrvm, un , vn , ua, va ) ! energy conserving scheme (een with e3t) |
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[9019] | 143 | CASE( np_ENE ) ; CALL vor_ene( kt, nrvm, un , vn , ua, va ) ! energy conserving scheme |
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| 144 | CASE( np_ENS, np_MIX ) ; CALL vor_ens( kt, nrvm, un , vn , ua, va ) ! enstrophy conserving scheme |
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| 145 | CASE( np_EEN ) ; CALL vor_een( kt, nrvm, un , vn , ua, va ) ! energy & enstrophy scheme |
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| 146 | END SELECT |
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[7753] | 147 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 148 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[4990] | 149 | CALL trd_dyn( ztrdu, ztrdv, jpdyn_rvo, kt ) |
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[9019] | 150 | ENDIF |
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| 151 | ! |
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| 152 | DEALLOCATE( ztrdu, ztrdv ) |
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| 153 | ! |
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| 154 | ELSE !== total vorticity trend added to the general trend ==! |
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| 155 | ! |
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| 156 | SELECT CASE ( nvor_scheme ) !== vorticity trend added to the general trend ==! |
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[9528] | 157 | CASE( np_ENT ) !* energy conserving scheme (T-pts) |
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| 158 | CALL vor_enT( kt, ntot, un , vn , ua, va ) ! total vorticity trend |
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| 159 | IF( ln_stcor ) CALL vor_enT( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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| 160 | CASE( np_EET ) !* energy conserving scheme (een scheme using e3t) |
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| 161 | CALL vor_eeT( kt, ntot, un , vn , ua, va ) ! total vorticity trend |
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| 162 | IF( ln_stcor ) CALL vor_eeT( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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[9019] | 163 | CASE( np_ENE ) !* energy conserving scheme |
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[7646] | 164 | CALL vor_ene( kt, ntot, un , vn , ua, va ) ! total vorticity trend |
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| 165 | IF( ln_stcor ) CALL vor_ene( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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[9019] | 166 | CASE( np_ENS ) !* enstrophy conserving scheme |
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[7646] | 167 | CALL vor_ens( kt, ntot, un , vn , ua, va ) ! total vorticity trend |
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| 168 | IF( ln_stcor ) CALL vor_ens( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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[9019] | 169 | CASE( np_MIX ) !* mixed ene-ens scheme |
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[7646] | 170 | CALL vor_ens( kt, nrvm, un , vn , ua, va ) ! relative vorticity or metric trend (ens) |
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| 171 | CALL vor_ene( kt, ncor, un , vn , ua, va ) ! planetary vorticity trend (ene) |
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| 172 | IF( ln_stcor ) CALL vor_ene( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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[9019] | 173 | CASE( np_EEN ) !* energy and enstrophy conserving scheme |
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[7646] | 174 | CALL vor_een( kt, ntot, un , vn , ua, va ) ! total vorticity trend |
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[7913] | 175 | IF( ln_stcor ) CALL vor_een( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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[9019] | 176 | END SELECT |
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[643] | 177 | ! |
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[9019] | 178 | ENDIF |
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[2715] | 179 | ! |
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[455] | 180 | ! ! print sum trends (used for debugging) |
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[2715] | 181 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' vor - Ua: ', mask1=umask, & |
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[455] | 182 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[1438] | 183 | ! |
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[9019] | 184 | IF( ln_timing ) CALL timing_stop('dyn_vor') |
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[3294] | 185 | ! |
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[455] | 186 | END SUBROUTINE dyn_vor |
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| 187 | |
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| 188 | |
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[9528] | 189 | SUBROUTINE vor_enT( kt, kvor, pu, pv, pu_rhs, pv_rhs ) |
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| 190 | !!---------------------------------------------------------------------- |
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| 191 | !! *** ROUTINE vor_enT *** |
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| 192 | !! |
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| 193 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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| 194 | !! the general trend of the momentum equation. |
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| 195 | !! |
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| 196 | !! ** Method : Trend evaluated using now fields (centered in time) |
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| 197 | !! and t-point evaluation of vorticity (planetary and relative). |
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| 198 | !! conserves the horizontal kinetic energy. |
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| 199 | !! The general trend of momentum is increased due to the vorticity |
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| 200 | !! term which is given by: |
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| 201 | !! voru = 1/bu mj[ ( mi(mj(bf*rvor))+bt*f_t)/e3t mj[vn] ] |
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| 202 | !! vorv = 1/bv mi[ ( mi(mj(bf*rvor))+bt*f_t)/e3f mj[un] ] |
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| 203 | !! where rvor is the relative vorticity at f-point |
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| 204 | !! |
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| 205 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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| 206 | !!---------------------------------------------------------------------- |
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| 207 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 208 | INTEGER , INTENT(in ) :: kvor ! total, planetary, relative, or metric |
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| 209 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pu, pv ! now velocities |
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| 210 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pu_rhs, pv_rhs ! total v-trend |
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| 211 | ! |
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| 212 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 213 | REAL(wp) :: zx1, zy1, zx2, zy2 ! local scalars |
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[10425] | 214 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zwy, zwt ! 2D workspace |
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| 215 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwz ! 3D workspace |
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[9528] | 216 | !!---------------------------------------------------------------------- |
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| 217 | ! |
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| 218 | IF( kt == nit000 ) THEN |
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| 219 | IF(lwp) WRITE(numout,*) |
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| 220 | IF(lwp) WRITE(numout,*) 'dyn:vor_enT : vorticity term: t-point energy conserving scheme' |
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| 221 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 222 | ENDIF |
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| 223 | ! |
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[10425] | 224 | ! |
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| 225 | SELECT CASE( kvor ) !== volume weighted vorticity considered ==! |
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| 226 | CASE ( np_RVO ) !* relative vorticity |
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| 227 | DO jk = 1, jpkm1 ! Horizontal slab |
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[9528] | 228 | DO jj = 1, jpjm1 |
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| 229 | DO ji = 1, jpim1 |
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[10425] | 230 | zwz(ji,jj,jk) = ( e2v(ji+1,jj) * pv(ji+1,jj,jk) - e2v(ji,jj) * pv(ji,jj,jk) & |
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| 231 | & - e1u(ji,jj+1) * pu(ji,jj+1,jk) + e1u(ji,jj) * pu(ji,jj,jk) ) * r1_e1e2f(ji,jj) |
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[9528] | 232 | END DO |
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| 233 | END DO |
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| 234 | IF( ln_dynvor_msk ) THEN ! mask/unmask relative vorticity |
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| 235 | DO jj = 1, jpjm1 |
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| 236 | DO ji = 1, jpim1 |
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[10425] | 237 | zwz(ji,jj,jk) = zwz(ji,jj,jk) * fmask(ji,jj,jk) |
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[9528] | 238 | END DO |
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| 239 | END DO |
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| 240 | ENDIF |
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[10425] | 241 | END DO |
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| 242 | |
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| 243 | CALL lbc_lnk( 'dynvor', zwz, 'F', 1. ) |
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| 244 | |
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| 245 | CASE ( np_CRV ) !* Coriolis + relative vorticity |
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| 246 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 247 | DO jj = 1, jpjm1 |
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| 248 | DO ji = 1, jpim1 ! relative vorticity |
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| 249 | zwz(ji,jj,jk) = ( e2v(ji+1,jj) * pv(ji+1,jj,jk) - e2v(ji,jj) * pv(ji,jj,jk) & |
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| 250 | & - e1u(ji,jj+1) * pu(ji,jj+1,jk) + e1u(ji,jj) * pu(ji,jj,jk) ) * r1_e1e2f(ji,jj) |
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| 251 | END DO |
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| 252 | END DO |
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| 253 | IF( ln_dynvor_msk ) THEN ! mask/unmask relative vorticity |
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| 254 | DO jj = 1, jpjm1 |
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| 255 | DO ji = 1, jpim1 |
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| 256 | zwz(ji,jj,jk) = zwz(ji,jj,jk) * fmask(ji,jj,jk) |
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| 257 | END DO |
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| 258 | END DO |
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| 259 | ENDIF |
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| 260 | END DO |
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| 261 | |
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| 262 | CALL lbc_lnk( 'dynvor', zwz, 'F', 1. ) |
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| 263 | |
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| 264 | END SELECT |
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| 265 | |
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| 266 | ! ! =============== |
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| 267 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 268 | ! ! =============== |
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| 269 | |
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| 270 | SELECT CASE( kvor ) !== volume weighted vorticity considered ==! |
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| 271 | CASE ( np_COR ) !* Coriolis (planetary vorticity) |
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| 272 | zwt(:,:) = ff_t(:,:) * e1e2t(:,:)*e3t_n(:,:,jk) |
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| 273 | CASE ( np_RVO ) !* relative vorticity |
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[9528] | 274 | DO jj = 2, jpj |
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| 275 | DO ji = 2, jpi ! vector opt. |
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[10425] | 276 | zwt(ji,jj) = r1_4 * ( zwz(ji-1,jj ,jk) + zwz(ji,jj ,jk) & |
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| 277 | & + zwz(ji-1,jj-1,jk) + zwz(ji,jj-1,jk) ) * e1e2t(ji,jj)*e3t_n(ji,jj,jk) |
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[9528] | 278 | END DO |
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| 279 | END DO |
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| 280 | CASE ( np_MET ) !* metric term |
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| 281 | DO jj = 2, jpj |
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| 282 | DO ji = 2, jpi |
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| 283 | zwt(ji,jj) = ( ( pv(ji,jj,jk) + pv(ji,jj-1,jk) ) * di_e2u_2(ji,jj) & |
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| 284 | & - ( pu(ji,jj,jk) + pu(ji-1,jj,jk) ) * dj_e1v_2(ji,jj) ) * e3t_n(ji,jj,jk) |
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| 285 | END DO |
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| 286 | END DO |
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| 287 | CASE ( np_CRV ) !* Coriolis + relative vorticity |
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| 288 | DO jj = 2, jpj |
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| 289 | DO ji = 2, jpi ! vector opt. |
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[10425] | 290 | zwt(ji,jj) = ( ff_t(ji,jj) + r1_4 * ( zwz(ji-1,jj ,jk) + zwz(ji,jj ,jk) & |
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| 291 | & + zwz(ji-1,jj-1,jk) + zwz(ji,jj-1,jk) ) ) * e1e2t(ji,jj)*e3t_n(ji,jj,jk) |
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[9528] | 292 | END DO |
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| 293 | END DO |
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| 294 | CASE ( np_CME ) !* Coriolis + metric |
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| 295 | DO jj = 2, jpj |
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| 296 | DO ji = 2, jpi ! vector opt. |
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| 297 | zwt(ji,jj) = ( ff_t(ji,jj) * e1e2t(ji,jj) & |
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| 298 | & + ( pv(ji,jj,jk) + pv(ji,jj-1,jk) ) * di_e2u_2(ji,jj) & |
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| 299 | & - ( pu(ji,jj,jk) + pu(ji-1,jj,jk) ) * dj_e1v_2(ji,jj) ) * e3t_n(ji,jj,jk) |
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| 300 | END DO |
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| 301 | END DO |
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| 302 | CASE DEFAULT ! error |
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| 303 | CALL ctl_stop('STOP','dyn_vor: wrong value for kvor' ) |
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| 304 | END SELECT |
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| 305 | ! |
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| 306 | ! !== compute and add the vorticity term trend =! |
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| 307 | DO jj = 2, jpjm1 |
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| 308 | DO ji = 2, jpim1 ! vector opt. |
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| 309 | pu_rhs(ji,jj,jk) = pu_rhs(ji,jj,jk) + r1_4 * r1_e1e2u(ji,jj) / e3u_n(ji,jj,jk) & |
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| 310 | & * ( zwt(ji+1,jj) * ( pv(ji+1,jj,jk) + pv(ji+1,jj-1,jk) ) & |
---|
| 311 | & + zwt(ji ,jj) * ( pv(ji ,jj,jk) + pv(ji ,jj-1,jk) ) ) |
---|
| 312 | ! |
---|
| 313 | pv_rhs(ji,jj,jk) = pv_rhs(ji,jj,jk) - r1_4 * r1_e1e2v(ji,jj) / e3v_n(ji,jj,jk) & |
---|
| 314 | & * ( zwt(ji,jj+1) * ( pu(ji,jj+1,jk) + pu(ji-1,jj+1,jk) ) & |
---|
| 315 | & + zwt(ji,jj ) * ( pu(ji,jj ,jk) + pu(ji-1,jj ,jk) ) ) |
---|
| 316 | END DO |
---|
| 317 | END DO |
---|
| 318 | ! ! =============== |
---|
| 319 | END DO ! End of slab |
---|
| 320 | ! ! =============== |
---|
| 321 | END SUBROUTINE vor_enT |
---|
| 322 | |
---|
| 323 | |
---|
[7646] | 324 | SUBROUTINE vor_ene( kt, kvor, pun, pvn, pua, pva ) |
---|
[455] | 325 | !!---------------------------------------------------------------------- |
---|
| 326 | !! *** ROUTINE vor_ene *** |
---|
| 327 | !! |
---|
[3] | 328 | !! ** Purpose : Compute the now total vorticity trend and add it to |
---|
| 329 | !! the general trend of the momentum equation. |
---|
| 330 | !! |
---|
| 331 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
[5836] | 332 | !! and the Sadourny (1975) flux form formulation : conserves the |
---|
| 333 | !! horizontal kinetic energy. |
---|
| 334 | !! The general trend of momentum is increased due to the vorticity |
---|
| 335 | !! term which is given by: |
---|
| 336 | !! voru = 1/e1u mj-1[ (rvor+f)/e3f mi(e1v*e3v vn) ] |
---|
| 337 | !! vorv = 1/e2v mi-1[ (rvor+f)/e3f mj(e2u*e3u un) ] |
---|
| 338 | !! where rvor is the relative vorticity |
---|
[3] | 339 | !! |
---|
| 340 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
---|
| 341 | !! |
---|
[503] | 342 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
---|
[3] | 343 | !!---------------------------------------------------------------------- |
---|
[9019] | 344 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 345 | INTEGER , INTENT(in ) :: kvor ! total, planetary, relative, or metric |
---|
| 346 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pun, pvn ! now velocities |
---|
| 347 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pua, pva ! total v-trend |
---|
[2715] | 348 | ! |
---|
[5836] | 349 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 350 | REAL(wp) :: zx1, zy1, zx2, zy2 ! local scalars |
---|
[9019] | 351 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zwy, zwz ! 2D workspace |
---|
[3] | 352 | !!---------------------------------------------------------------------- |
---|
[3294] | 353 | ! |
---|
[52] | 354 | IF( kt == nit000 ) THEN |
---|
| 355 | IF(lwp) WRITE(numout,*) |
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[455] | 356 | IF(lwp) WRITE(numout,*) 'dyn:vor_ene : vorticity term: energy conserving scheme' |
---|
| 357 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
[52] | 358 | ENDIF |
---|
[5836] | 359 | ! |
---|
[3] | 360 | ! ! =============== |
---|
| 361 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 362 | ! ! =============== |
---|
[1438] | 363 | ! |
---|
[5836] | 364 | SELECT CASE( kvor ) !== vorticity considered ==! |
---|
| 365 | CASE ( np_COR ) !* Coriolis (planetary vorticity) |
---|
[7753] | 366 | zwz(:,:) = ff_f(:,:) |
---|
[5836] | 367 | CASE ( np_RVO ) !* relative vorticity |
---|
[643] | 368 | DO jj = 1, jpjm1 |
---|
| 369 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[7646] | 370 | zwz(ji,jj) = ( e2v(ji+1,jj ) * pvn(ji+1,jj ,jk) - e2v(ji,jj) * pvn(ji,jj,jk) & |
---|
| 371 | & - e1u(ji ,jj+1) * pun(ji ,jj+1,jk) + e1u(ji,jj) * pun(ji,jj,jk) ) * r1_e1e2f(ji,jj) |
---|
[5836] | 372 | END DO |
---|
| 373 | END DO |
---|
| 374 | CASE ( np_MET ) !* metric term |
---|
| 375 | DO jj = 1, jpjm1 |
---|
| 376 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[9528] | 377 | zwz(ji,jj) = ( pvn(ji+1,jj ,jk) + pvn(ji,jj,jk) ) * di_e2v_2e1e2f(ji,jj) & |
---|
| 378 | & - ( pun(ji ,jj+1,jk) + pun(ji,jj,jk) ) * dj_e1u_2e1e2f(ji,jj) |
---|
[643] | 379 | END DO |
---|
| 380 | END DO |
---|
[5836] | 381 | CASE ( np_CRV ) !* Coriolis + relative vorticity |
---|
[643] | 382 | DO jj = 1, jpjm1 |
---|
| 383 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[9528] | 384 | zwz(ji,jj) = ff_f(ji,jj) + ( e2v(ji+1,jj) * pvn(ji+1,jj,jk) - e2v(ji,jj) * pvn(ji,jj,jk) & |
---|
| 385 | & - e1u(ji,jj+1) * pun(ji,jj+1,jk) + e1u(ji,jj) * pun(ji,jj,jk) ) * r1_e1e2f(ji,jj) |
---|
[643] | 386 | END DO |
---|
| 387 | END DO |
---|
[5836] | 388 | CASE ( np_CME ) !* Coriolis + metric |
---|
| 389 | DO jj = 1, jpjm1 |
---|
| 390 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[9528] | 391 | zwz(ji,jj) = ff_f(ji,jj) + ( pvn(ji+1,jj ,jk) + pvn(ji,jj,jk) ) * di_e2v_2e1e2f(ji,jj) & |
---|
| 392 | & - ( pun(ji ,jj+1,jk) + pun(ji,jj,jk) ) * dj_e1u_2e1e2f(ji,jj) |
---|
[5836] | 393 | END DO |
---|
| 394 | END DO |
---|
| 395 | CASE DEFAULT ! error |
---|
| 396 | CALL ctl_stop('STOP','dyn_vor: wrong value for kvor' ) |
---|
[455] | 397 | END SELECT |
---|
[5836] | 398 | ! |
---|
| 399 | IF( ln_dynvor_msk ) THEN !== mask/unmask vorticity ==! |
---|
| 400 | DO jj = 1, jpjm1 |
---|
| 401 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 402 | zwz(ji,jj) = zwz(ji,jj) * fmask(ji,jj,jk) |
---|
| 403 | END DO |
---|
| 404 | END DO |
---|
| 405 | ENDIF |
---|
[455] | 406 | |
---|
| 407 | IF( ln_sco ) THEN |
---|
[7753] | 408 | zwz(:,:) = zwz(:,:) / e3f_n(:,:,jk) |
---|
| 409 | zwx(:,:) = e2u(:,:) * e3u_n(:,:,jk) * pun(:,:,jk) |
---|
| 410 | zwy(:,:) = e1v(:,:) * e3v_n(:,:,jk) * pvn(:,:,jk) |
---|
[3] | 411 | ELSE |
---|
[7753] | 412 | zwx(:,:) = e2u(:,:) * pun(:,:,jk) |
---|
| 413 | zwy(:,:) = e1v(:,:) * pvn(:,:,jk) |
---|
[3] | 414 | ENDIF |
---|
[5836] | 415 | ! !== compute and add the vorticity term trend =! |
---|
[3] | 416 | DO jj = 2, jpjm1 |
---|
| 417 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 418 | zy1 = zwy(ji,jj-1) + zwy(ji+1,jj-1) |
---|
| 419 | zy2 = zwy(ji,jj ) + zwy(ji+1,jj ) |
---|
| 420 | zx1 = zwx(ji-1,jj) + zwx(ji-1,jj+1) |
---|
| 421 | zx2 = zwx(ji ,jj) + zwx(ji ,jj+1) |
---|
[5836] | 422 | pua(ji,jj,jk) = pua(ji,jj,jk) + r1_4 * r1_e1u(ji,jj) * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
---|
| 423 | pva(ji,jj,jk) = pva(ji,jj,jk) - r1_4 * r1_e2v(ji,jj) * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
---|
[3] | 424 | END DO |
---|
| 425 | END DO |
---|
| 426 | ! ! =============== |
---|
| 427 | END DO ! End of slab |
---|
| 428 | ! ! =============== |
---|
[455] | 429 | END SUBROUTINE vor_ene |
---|
[216] | 430 | |
---|
| 431 | |
---|
[7646] | 432 | SUBROUTINE vor_ens( kt, kvor, pun, pvn, pua, pva ) |
---|
[3] | 433 | !!---------------------------------------------------------------------- |
---|
[455] | 434 | !! *** ROUTINE vor_ens *** |
---|
[3] | 435 | !! |
---|
| 436 | !! ** Purpose : Compute the now total vorticity trend and add it to |
---|
| 437 | !! the general trend of the momentum equation. |
---|
| 438 | !! |
---|
| 439 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
| 440 | !! and the Sadourny (1975) flux FORM formulation : conserves the |
---|
| 441 | !! potential enstrophy of a horizontally non-divergent flow. the |
---|
| 442 | !! trend of the vorticity term is given by: |
---|
[5836] | 443 | !! voru = 1/e1u mj-1[ (rvor+f)/e3f ] mj-1[ mi(e1v*e3v vn) ] |
---|
| 444 | !! vorv = 1/e2v mi-1[ (rvor+f)/e3f ] mi-1[ mj(e2u*e3u un) ] |
---|
[3] | 445 | !! Add this trend to the general momentum trend (ua,va): |
---|
| 446 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
---|
| 447 | !! |
---|
| 448 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
---|
| 449 | !! |
---|
[503] | 450 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
---|
[3] | 451 | !!---------------------------------------------------------------------- |
---|
[9019] | 452 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 453 | INTEGER , INTENT(in ) :: kvor ! total, planetary, relative, or metric |
---|
| 454 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pun, pvn ! now velocities |
---|
| 455 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pua, pva ! total v-trend |
---|
[2715] | 456 | ! |
---|
[5836] | 457 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 458 | REAL(wp) :: zuav, zvau ! local scalars |
---|
[9019] | 459 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zwy, zwz, zww ! 2D workspace |
---|
[3] | 460 | !!---------------------------------------------------------------------- |
---|
[3294] | 461 | ! |
---|
[52] | 462 | IF( kt == nit000 ) THEN |
---|
| 463 | IF(lwp) WRITE(numout,*) |
---|
[455] | 464 | IF(lwp) WRITE(numout,*) 'dyn:vor_ens : vorticity term: enstrophy conserving scheme' |
---|
| 465 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
[52] | 466 | ENDIF |
---|
[3] | 467 | ! ! =============== |
---|
| 468 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 469 | ! ! =============== |
---|
[1438] | 470 | ! |
---|
[5836] | 471 | SELECT CASE( kvor ) !== vorticity considered ==! |
---|
| 472 | CASE ( np_COR ) !* Coriolis (planetary vorticity) |
---|
[7646] | 473 | zwz(:,:) = ff_f(:,:) |
---|
[5836] | 474 | CASE ( np_RVO ) !* relative vorticity |
---|
[643] | 475 | DO jj = 1, jpjm1 |
---|
| 476 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[7646] | 477 | zwz(ji,jj) = ( e2v(ji+1,jj ) * pvn(ji+1,jj ,jk) - e2v(ji,jj) * pvn(ji,jj,jk) & |
---|
| 478 | & - e1u(ji ,jj+1) * pun(ji ,jj+1,jk) + e1u(ji,jj) * pun(ji,jj,jk) ) * r1_e1e2f(ji,jj) |
---|
[5836] | 479 | END DO |
---|
| 480 | END DO |
---|
| 481 | CASE ( np_MET ) !* metric term |
---|
| 482 | DO jj = 1, jpjm1 |
---|
| 483 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[9528] | 484 | zwz(ji,jj) = ( pvn(ji+1,jj ,jk) + pvn(ji,jj,jk) ) * di_e2v_2e1e2f(ji,jj) & |
---|
| 485 | & - ( pun(ji ,jj+1,jk) + pun(ji,jj,jk) ) * dj_e1u_2e1e2f(ji,jj) |
---|
[643] | 486 | END DO |
---|
| 487 | END DO |
---|
[5836] | 488 | CASE ( np_CRV ) !* Coriolis + relative vorticity |
---|
[643] | 489 | DO jj = 1, jpjm1 |
---|
| 490 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[9528] | 491 | zwz(ji,jj) = ff_f(ji,jj) + ( e2v(ji+1,jj ) * pvn(ji+1,jj ,jk) - e2v(ji,jj) * pvn(ji,jj,jk) & |
---|
| 492 | & - e1u(ji ,jj+1) * pun(ji ,jj+1,jk) + e1u(ji,jj) * pun(ji,jj,jk) ) * r1_e1e2f(ji,jj) |
---|
[643] | 493 | END DO |
---|
| 494 | END DO |
---|
[5836] | 495 | CASE ( np_CME ) !* Coriolis + metric |
---|
| 496 | DO jj = 1, jpjm1 |
---|
| 497 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[9528] | 498 | zwz(ji,jj) = ff_f(ji,jj) + ( pvn(ji+1,jj ,jk) + pvn(ji,jj,jk) ) * di_e2v_2e1e2f(ji,jj) & |
---|
| 499 | & - ( pun(ji ,jj+1,jk) + pun(ji,jj,jk) ) * dj_e1u_2e1e2f(ji,jj) |
---|
[5836] | 500 | END DO |
---|
| 501 | END DO |
---|
| 502 | CASE DEFAULT ! error |
---|
| 503 | CALL ctl_stop('STOP','dyn_vor: wrong value for kvor' ) |
---|
[455] | 504 | END SELECT |
---|
[1438] | 505 | ! |
---|
[5836] | 506 | IF( ln_dynvor_msk ) THEN !== mask/unmask vorticity ==! |
---|
| 507 | DO jj = 1, jpjm1 |
---|
| 508 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 509 | zwz(ji,jj) = zwz(ji,jj) * fmask(ji,jj,jk) |
---|
[3] | 510 | END DO |
---|
| 511 | END DO |
---|
[5836] | 512 | ENDIF |
---|
| 513 | ! |
---|
| 514 | IF( ln_sco ) THEN !== horizontal fluxes ==! |
---|
[6140] | 515 | zwz(:,:) = zwz(:,:) / e3f_n(:,:,jk) |
---|
[7646] | 516 | zwx(:,:) = e2u(:,:) * e3u_n(:,:,jk) * pun(:,:,jk) |
---|
| 517 | zwy(:,:) = e1v(:,:) * e3v_n(:,:,jk) * pvn(:,:,jk) |
---|
[3] | 518 | ELSE |
---|
[7646] | 519 | zwx(:,:) = e2u(:,:) * pun(:,:,jk) |
---|
| 520 | zwy(:,:) = e1v(:,:) * pvn(:,:,jk) |
---|
[3] | 521 | ENDIF |
---|
[5836] | 522 | ! !== compute and add the vorticity term trend =! |
---|
[3] | 523 | DO jj = 2, jpjm1 |
---|
| 524 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[6140] | 525 | zuav = r1_8 * r1_e1u(ji,jj) * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
---|
| 526 | & + zwy(ji ,jj ) + zwy(ji+1,jj ) ) |
---|
| 527 | zvau =-r1_8 * r1_e2v(ji,jj) * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
---|
| 528 | & + zwx(ji ,jj ) + zwx(ji ,jj+1) ) |
---|
[455] | 529 | pua(ji,jj,jk) = pua(ji,jj,jk) + zuav * ( zwz(ji ,jj-1) + zwz(ji,jj) ) |
---|
| 530 | pva(ji,jj,jk) = pva(ji,jj,jk) + zvau * ( zwz(ji-1,jj ) + zwz(ji,jj) ) |
---|
[3] | 531 | END DO |
---|
| 532 | END DO |
---|
| 533 | ! ! =============== |
---|
| 534 | END DO ! End of slab |
---|
| 535 | ! ! =============== |
---|
[455] | 536 | END SUBROUTINE vor_ens |
---|
[216] | 537 | |
---|
| 538 | |
---|
[7646] | 539 | SUBROUTINE vor_een( kt, kvor, pun, pvn, pua, pva ) |
---|
[108] | 540 | !!---------------------------------------------------------------------- |
---|
[455] | 541 | !! *** ROUTINE vor_een *** |
---|
[108] | 542 | !! |
---|
| 543 | !! ** Purpose : Compute the now total vorticity trend and add it to |
---|
| 544 | !! the general trend of the momentum equation. |
---|
| 545 | !! |
---|
| 546 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
[1438] | 547 | !! and the Arakawa and Lamb (1980) flux form formulation : conserves |
---|
[108] | 548 | !! both the horizontal kinetic energy and the potential enstrophy |
---|
[1438] | 549 | !! when horizontal divergence is zero (see the NEMO documentation) |
---|
| 550 | !! Add this trend to the general momentum trend (ua,va). |
---|
[108] | 551 | !! |
---|
| 552 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
---|
| 553 | !! |
---|
[503] | 554 | !! References : Arakawa and Lamb 1980, Mon. Wea. Rev., 109, 18-36 |
---|
| 555 | !!---------------------------------------------------------------------- |
---|
[9019] | 556 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 557 | INTEGER , INTENT(in ) :: kvor ! total, planetary, relative, or metric |
---|
| 558 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pun, pvn ! now velocities |
---|
| 559 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pua, pva ! total v-trend |
---|
[5836] | 560 | ! |
---|
| 561 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 562 | INTEGER :: ierr ! local integer |
---|
| 563 | REAL(wp) :: zua, zva ! local scalars |
---|
[9528] | 564 | REAL(wp) :: zmsk, ze3f ! local scalars |
---|
[10425] | 565 | REAL(wp), DIMENSION(jpi,jpj) :: zwx , zwy , z1_e3f |
---|
| 566 | REAL(wp), DIMENSION(jpi,jpj) :: ztnw, ztne, ztsw, ztse |
---|
| 567 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwz |
---|
[108] | 568 | !!---------------------------------------------------------------------- |
---|
[3294] | 569 | ! |
---|
[108] | 570 | IF( kt == nit000 ) THEN |
---|
| 571 | IF(lwp) WRITE(numout,*) |
---|
[455] | 572 | IF(lwp) WRITE(numout,*) 'dyn:vor_een : vorticity term: energy and enstrophy conserving scheme' |
---|
| 573 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
[1438] | 574 | ENDIF |
---|
[5836] | 575 | ! |
---|
| 576 | ! ! =============== |
---|
| 577 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 578 | ! ! =============== |
---|
| 579 | ! |
---|
| 580 | SELECT CASE( nn_een_e3f ) ! == reciprocal of e3 at F-point |
---|
| 581 | CASE ( 0 ) ! original formulation (masked averaging of e3t divided by 4) |
---|
| 582 | DO jj = 1, jpjm1 |
---|
| 583 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[9528] | 584 | ze3f = ( e3t_n(ji,jj+1,jk)*tmask(ji,jj+1,jk) + e3t_n(ji+1,jj+1,jk)*tmask(ji+1,jj+1,jk) & |
---|
[6140] | 585 | & + e3t_n(ji,jj ,jk)*tmask(ji,jj ,jk) + e3t_n(ji+1,jj ,jk)*tmask(ji+1,jj ,jk) ) |
---|
[9528] | 586 | IF( ze3f /= 0._wp ) THEN ; z1_e3f(ji,jj) = 4._wp / ze3f |
---|
| 587 | ELSE ; z1_e3f(ji,jj) = 0._wp |
---|
[5836] | 588 | ENDIF |
---|
[108] | 589 | END DO |
---|
| 590 | END DO |
---|
[5836] | 591 | CASE ( 1 ) ! new formulation (masked averaging of e3t divided by the sum of mask) |
---|
| 592 | DO jj = 1, jpjm1 |
---|
| 593 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[9528] | 594 | ze3f = ( e3t_n(ji,jj+1,jk)*tmask(ji,jj+1,jk) + e3t_n(ji+1,jj+1,jk)*tmask(ji+1,jj+1,jk) & |
---|
[6140] | 595 | & + e3t_n(ji,jj ,jk)*tmask(ji,jj ,jk) + e3t_n(ji+1,jj ,jk)*tmask(ji+1,jj ,jk) ) |
---|
| 596 | zmsk = ( tmask(ji,jj+1,jk) + tmask(ji+1,jj+1,jk) & |
---|
| 597 | & + tmask(ji,jj ,jk) + tmask(ji+1,jj ,jk) ) |
---|
[9528] | 598 | IF( ze3f /= 0._wp ) THEN ; z1_e3f(ji,jj) = zmsk / ze3f |
---|
| 599 | ELSE ; z1_e3f(ji,jj) = 0._wp |
---|
[5836] | 600 | ENDIF |
---|
[5029] | 601 | END DO |
---|
| 602 | END DO |
---|
[5836] | 603 | END SELECT |
---|
| 604 | ! |
---|
| 605 | SELECT CASE( kvor ) !== vorticity considered ==! |
---|
| 606 | CASE ( np_COR ) !* Coriolis (planetary vorticity) |
---|
[643] | 607 | DO jj = 1, jpjm1 |
---|
| 608 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10425] | 609 | zwz(ji,jj,jk) = ff_f(ji,jj) * z1_e3f(ji,jj) |
---|
[5836] | 610 | END DO |
---|
| 611 | END DO |
---|
| 612 | CASE ( np_RVO ) !* relative vorticity |
---|
| 613 | DO jj = 1, jpjm1 |
---|
| 614 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10425] | 615 | zwz(ji,jj,jk) = ( e2v(ji+1,jj ) * pvn(ji+1,jj,jk) - e2v(ji,jj) * pvn(ji,jj,jk) & |
---|
| 616 | & - e1u(ji ,jj+1) * pun(ji,jj+1,jk) + e1u(ji,jj) * pun(ji,jj,jk) ) * r1_e1e2f(ji,jj)*z1_e3f(ji,jj) |
---|
[5836] | 617 | END DO |
---|
| 618 | END DO |
---|
| 619 | CASE ( np_MET ) !* metric term |
---|
| 620 | DO jj = 1, jpjm1 |
---|
| 621 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10425] | 622 | zwz(ji,jj,jk) = ( ( pvn(ji+1,jj,jk) + pvn(ji,jj,jk) ) * di_e2v_2e1e2f(ji,jj) & |
---|
| 623 | & - ( pun(ji,jj+1,jk) + pun(ji,jj,jk) ) * dj_e1u_2e1e2f(ji,jj) ) * z1_e3f(ji,jj) |
---|
[643] | 624 | END DO |
---|
| 625 | END DO |
---|
[5836] | 626 | CASE ( np_CRV ) !* Coriolis + relative vorticity |
---|
[643] | 627 | DO jj = 1, jpjm1 |
---|
| 628 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10425] | 629 | zwz(ji,jj,jk) = ( ff_f(ji,jj) + ( e2v(ji+1,jj ) * pvn(ji+1,jj,jk) - e2v(ji,jj) * pvn(ji,jj,jk) & |
---|
| 630 | & - e1u(ji ,jj+1) * pun(ji,jj+1,jk) + e1u(ji,jj) * pun(ji,jj,jk) ) & |
---|
| 631 | & * r1_e1e2f(ji,jj) ) * z1_e3f(ji,jj) |
---|
[643] | 632 | END DO |
---|
| 633 | END DO |
---|
[5836] | 634 | CASE ( np_CME ) !* Coriolis + metric |
---|
| 635 | DO jj = 1, jpjm1 |
---|
| 636 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10425] | 637 | zwz(ji,jj,jk) = ( ff_f(ji,jj) + ( pvn(ji+1,jj ,jk) + pvn(ji,jj,jk) ) * di_e2v_2e1e2f(ji,jj) & |
---|
| 638 | & - ( pun(ji ,jj+1,jk) + pun(ji,jj,jk) ) * dj_e1u_2e1e2f(ji,jj) ) * z1_e3f(ji,jj) |
---|
[5836] | 639 | END DO |
---|
| 640 | END DO |
---|
| 641 | CASE DEFAULT ! error |
---|
| 642 | CALL ctl_stop('STOP','dyn_vor: wrong value for kvor' ) |
---|
[455] | 643 | END SELECT |
---|
[5836] | 644 | ! |
---|
| 645 | IF( ln_dynvor_msk ) THEN !== mask/unmask vorticity ==! |
---|
| 646 | DO jj = 1, jpjm1 |
---|
| 647 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10425] | 648 | zwz(ji,jj,jk) = zwz(ji,jj,jk) * fmask(ji,jj,jk) |
---|
[5836] | 649 | END DO |
---|
| 650 | END DO |
---|
| 651 | ENDIF |
---|
[10425] | 652 | END DO ! End of slab |
---|
[5836] | 653 | ! |
---|
[10425] | 654 | CALL lbc_lnk( 'dynvor', zwz, 'F', 1. ) |
---|
| 655 | |
---|
| 656 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
[5907] | 657 | ! |
---|
[5836] | 658 | ! !== horizontal fluxes ==! |
---|
[7753] | 659 | zwx(:,:) = e2u(:,:) * e3u_n(:,:,jk) * pun(:,:,jk) |
---|
| 660 | zwy(:,:) = e1v(:,:) * e3v_n(:,:,jk) * pvn(:,:,jk) |
---|
[108] | 661 | |
---|
[5836] | 662 | ! !== compute and add the vorticity term trend =! |
---|
[1438] | 663 | jj = 2 |
---|
| 664 | ztne(1,:) = 0 ; ztnw(1,:) = 0 ; ztse(1,:) = 0 ; ztsw(1,:) = 0 |
---|
[5836] | 665 | DO ji = 2, jpi ! split in 2 parts due to vector opt. |
---|
[10425] | 666 | ztne(ji,jj) = zwz(ji-1,jj ,jk) + zwz(ji ,jj ,jk) + zwz(ji ,jj-1,jk) |
---|
| 667 | ztnw(ji,jj) = zwz(ji-1,jj-1,jk) + zwz(ji-1,jj ,jk) + zwz(ji ,jj ,jk) |
---|
| 668 | ztse(ji,jj) = zwz(ji ,jj ,jk) + zwz(ji ,jj-1,jk) + zwz(ji-1,jj-1,jk) |
---|
| 669 | ztsw(ji,jj) = zwz(ji ,jj-1,jk) + zwz(ji-1,jj-1,jk) + zwz(ji-1,jj ,jk) |
---|
[108] | 670 | END DO |
---|
| 671 | DO jj = 3, jpj |
---|
[1694] | 672 | DO ji = fs_2, jpi ! vector opt. ok because we start at jj = 3 |
---|
[10425] | 673 | ztne(ji,jj) = zwz(ji-1,jj ,jk) + zwz(ji ,jj ,jk) + zwz(ji ,jj-1,jk) |
---|
| 674 | ztnw(ji,jj) = zwz(ji-1,jj-1,jk) + zwz(ji-1,jj ,jk) + zwz(ji ,jj ,jk) |
---|
| 675 | ztse(ji,jj) = zwz(ji ,jj ,jk) + zwz(ji ,jj-1,jk) + zwz(ji-1,jj-1,jk) |
---|
| 676 | ztsw(ji,jj) = zwz(ji ,jj-1,jk) + zwz(ji-1,jj-1,jk) + zwz(ji-1,jj ,jk) |
---|
[108] | 677 | END DO |
---|
| 678 | END DO |
---|
| 679 | DO jj = 2, jpjm1 |
---|
| 680 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5836] | 681 | zua = + r1_12 * r1_e1u(ji,jj) * ( ztne(ji,jj ) * zwy(ji ,jj ) + ztnw(ji+1,jj) * zwy(ji+1,jj ) & |
---|
| 682 | & + ztse(ji,jj ) * zwy(ji ,jj-1) + ztsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
---|
| 683 | zva = - r1_12 * r1_e2v(ji,jj) * ( ztsw(ji,jj+1) * zwx(ji-1,jj+1) + ztse(ji,jj+1) * zwx(ji ,jj+1) & |
---|
| 684 | & + ztnw(ji,jj ) * zwx(ji-1,jj ) + ztne(ji,jj ) * zwx(ji ,jj ) ) |
---|
[455] | 685 | pua(ji,jj,jk) = pua(ji,jj,jk) + zua |
---|
| 686 | pva(ji,jj,jk) = pva(ji,jj,jk) + zva |
---|
[108] | 687 | END DO |
---|
| 688 | END DO |
---|
| 689 | ! ! =============== |
---|
| 690 | END DO ! End of slab |
---|
| 691 | ! ! =============== |
---|
[455] | 692 | END SUBROUTINE vor_een |
---|
[216] | 693 | |
---|
| 694 | |
---|
[9528] | 695 | |
---|
| 696 | SUBROUTINE vor_eeT( kt, kvor, pun, pvn, pua, pva ) |
---|
| 697 | !!---------------------------------------------------------------------- |
---|
| 698 | !! *** ROUTINE vor_eeT *** |
---|
| 699 | !! |
---|
| 700 | !! ** Purpose : Compute the now total vorticity trend and add it to |
---|
| 701 | !! the general trend of the momentum equation. |
---|
| 702 | !! |
---|
| 703 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
| 704 | !! and the Arakawa and Lamb (1980) vector form formulation using |
---|
| 705 | !! a modified version of Arakawa and Lamb (1980) scheme (see vor_een). |
---|
| 706 | !! The change consists in |
---|
| 707 | !! Add this trend to the general momentum trend (ua,va). |
---|
| 708 | !! |
---|
| 709 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
---|
| 710 | !! |
---|
| 711 | !! References : Arakawa and Lamb 1980, Mon. Wea. Rev., 109, 18-36 |
---|
| 712 | !!---------------------------------------------------------------------- |
---|
| 713 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 714 | INTEGER , INTENT(in ) :: kvor ! total, planetary, relative, or metric |
---|
| 715 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pun, pvn ! now velocities |
---|
| 716 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pua, pva ! total v-trend |
---|
| 717 | ! |
---|
| 718 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 719 | INTEGER :: ierr ! local integer |
---|
| 720 | REAL(wp) :: zua, zva ! local scalars |
---|
| 721 | REAL(wp) :: zmsk, z1_e3t ! local scalars |
---|
[10425] | 722 | REAL(wp), DIMENSION(jpi,jpj) :: zwx , zwy |
---|
| 723 | REAL(wp), DIMENSION(jpi,jpj) :: ztnw, ztne, ztsw, ztse |
---|
| 724 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwz |
---|
[9528] | 725 | !!---------------------------------------------------------------------- |
---|
| 726 | ! |
---|
| 727 | IF( kt == nit000 ) THEN |
---|
| 728 | IF(lwp) WRITE(numout,*) |
---|
| 729 | IF(lwp) WRITE(numout,*) 'dyn:vor_een : vorticity term: energy and enstrophy conserving scheme' |
---|
| 730 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
| 731 | ENDIF |
---|
| 732 | ! |
---|
| 733 | ! ! =============== |
---|
| 734 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 735 | ! ! =============== |
---|
| 736 | ! |
---|
| 737 | ! |
---|
| 738 | SELECT CASE( kvor ) !== vorticity considered ==! |
---|
| 739 | CASE ( np_COR ) !* Coriolis (planetary vorticity) |
---|
| 740 | DO jj = 1, jpjm1 |
---|
| 741 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10425] | 742 | zwz(ji,jj,jk) = ff_f(ji,jj) |
---|
[9528] | 743 | END DO |
---|
| 744 | END DO |
---|
| 745 | CASE ( np_RVO ) !* relative vorticity |
---|
| 746 | DO jj = 1, jpjm1 |
---|
| 747 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10425] | 748 | zwz(ji,jj,jk) = ( e2v(ji+1,jj ) * pvn(ji+1,jj ,jk) - e2v(ji,jj) * pvn(ji,jj,jk) & |
---|
| 749 | & - e1u(ji ,jj+1) * pun(ji ,jj+1,jk) + e1u(ji,jj) * pun(ji,jj,jk) ) & |
---|
| 750 | & * r1_e1e2f(ji,jj) |
---|
[9528] | 751 | END DO |
---|
| 752 | END DO |
---|
| 753 | CASE ( np_MET ) !* metric term |
---|
| 754 | DO jj = 1, jpjm1 |
---|
| 755 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10425] | 756 | zwz(ji,jj,jk) = ( pvn(ji+1,jj ,jk) + pvn(ji,jj,jk) ) * di_e2v_2e1e2f(ji,jj) & |
---|
| 757 | & - ( pun(ji ,jj+1,jk) + pun(ji,jj,jk) ) * dj_e1u_2e1e2f(ji,jj) |
---|
[9528] | 758 | END DO |
---|
| 759 | END DO |
---|
| 760 | CASE ( np_CRV ) !* Coriolis + relative vorticity |
---|
| 761 | DO jj = 1, jpjm1 |
---|
| 762 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10425] | 763 | zwz(ji,jj,jk) = ( ff_f(ji,jj) + ( e2v(ji+1,jj ) * pvn(ji+1,jj ,jk) - e2v(ji,jj) * pvn(ji,jj,jk) & |
---|
| 764 | & - e1u(ji ,jj+1) * pun(ji ,jj+1,jk) + e1u(ji,jj) * pun(ji,jj,jk) ) & |
---|
| 765 | & * r1_e1e2f(ji,jj) ) |
---|
[9528] | 766 | END DO |
---|
| 767 | END DO |
---|
| 768 | CASE ( np_CME ) !* Coriolis + metric |
---|
| 769 | DO jj = 1, jpjm1 |
---|
| 770 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10425] | 771 | zwz(ji,jj,jk) = ff_f(ji,jj) + ( pvn(ji+1,jj ,jk) + pvn(ji,jj,jk) ) * di_e2v_2e1e2f(ji,jj) & |
---|
| 772 | & - ( pun(ji ,jj+1,jk) + pun(ji,jj,jk) ) * dj_e1u_2e1e2f(ji,jj) |
---|
[9528] | 773 | END DO |
---|
| 774 | END DO |
---|
| 775 | CASE DEFAULT ! error |
---|
| 776 | CALL ctl_stop('STOP','dyn_vor: wrong value for kvor' ) |
---|
| 777 | END SELECT |
---|
| 778 | ! |
---|
| 779 | IF( ln_dynvor_msk ) THEN !== mask/unmask vorticity ==! |
---|
| 780 | DO jj = 1, jpjm1 |
---|
| 781 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[10425] | 782 | zwz(ji,jj,jk) = zwz(ji,jj,jk) * fmask(ji,jj,jk) |
---|
[9528] | 783 | END DO |
---|
| 784 | END DO |
---|
| 785 | ENDIF |
---|
[10425] | 786 | END DO |
---|
| 787 | ! |
---|
| 788 | CALL lbc_lnk( 'dynvor', zwz, 'F', 1. ) |
---|
| 789 | ! |
---|
| 790 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 791 | |
---|
| 792 | ! !== horizontal fluxes ==! |
---|
[9528] | 793 | zwx(:,:) = e2u(:,:) * e3u_n(:,:,jk) * pun(:,:,jk) |
---|
| 794 | zwy(:,:) = e1v(:,:) * e3v_n(:,:,jk) * pvn(:,:,jk) |
---|
| 795 | |
---|
| 796 | ! !== compute and add the vorticity term trend =! |
---|
| 797 | jj = 2 |
---|
| 798 | ztne(1,:) = 0 ; ztnw(1,:) = 0 ; ztse(1,:) = 0 ; ztsw(1,:) = 0 |
---|
| 799 | DO ji = 2, jpi ! split in 2 parts due to vector opt. |
---|
| 800 | z1_e3t = 1._wp / e3t_n(ji,jj,jk) |
---|
[10425] | 801 | ztne(ji,jj) = ( zwz(ji-1,jj ,jk) + zwz(ji ,jj ,jk) + zwz(ji ,jj-1,jk) ) * z1_e3t |
---|
| 802 | ztnw(ji,jj) = ( zwz(ji-1,jj-1,jk) + zwz(ji-1,jj ,jk) + zwz(ji ,jj ,jk) ) * z1_e3t |
---|
| 803 | ztse(ji,jj) = ( zwz(ji ,jj ,jk) + zwz(ji ,jj-1,jk) + zwz(ji-1,jj-1,jk) ) * z1_e3t |
---|
| 804 | ztsw(ji,jj) = ( zwz(ji ,jj-1,jk) + zwz(ji-1,jj-1,jk) + zwz(ji-1,jj ,jk) ) * z1_e3t |
---|
[9528] | 805 | END DO |
---|
| 806 | DO jj = 3, jpj |
---|
| 807 | DO ji = fs_2, jpi ! vector opt. ok because we start at jj = 3 |
---|
| 808 | z1_e3t = 1._wp / e3t_n(ji,jj,jk) |
---|
[10425] | 809 | ztne(ji,jj) = ( zwz(ji-1,jj ,jk) + zwz(ji ,jj ,jk) + zwz(ji ,jj-1,jk) ) * z1_e3t |
---|
| 810 | ztnw(ji,jj) = ( zwz(ji-1,jj-1,jk) + zwz(ji-1,jj ,jk) + zwz(ji ,jj ,jk) ) * z1_e3t |
---|
| 811 | ztse(ji,jj) = ( zwz(ji ,jj ,jk) + zwz(ji ,jj-1,jk) + zwz(ji-1,jj-1,jk) ) * z1_e3t |
---|
| 812 | ztsw(ji,jj) = ( zwz(ji ,jj-1,jk) + zwz(ji-1,jj-1,jk) + zwz(ji-1,jj ,jk) ) * z1_e3t |
---|
[9528] | 813 | END DO |
---|
| 814 | END DO |
---|
| 815 | DO jj = 2, jpjm1 |
---|
| 816 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 817 | zua = + r1_12 * r1_e1u(ji,jj) * ( ztne(ji,jj ) * zwy(ji ,jj ) + ztnw(ji+1,jj) * zwy(ji+1,jj ) & |
---|
| 818 | & + ztse(ji,jj ) * zwy(ji ,jj-1) + ztsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
---|
| 819 | zva = - r1_12 * r1_e2v(ji,jj) * ( ztsw(ji,jj+1) * zwx(ji-1,jj+1) + ztse(ji,jj+1) * zwx(ji ,jj+1) & |
---|
| 820 | & + ztnw(ji,jj ) * zwx(ji-1,jj ) + ztne(ji,jj ) * zwx(ji ,jj ) ) |
---|
| 821 | pua(ji,jj,jk) = pua(ji,jj,jk) + zua |
---|
| 822 | pva(ji,jj,jk) = pva(ji,jj,jk) + zva |
---|
| 823 | END DO |
---|
| 824 | END DO |
---|
| 825 | ! ! =============== |
---|
| 826 | END DO ! End of slab |
---|
| 827 | ! ! =============== |
---|
| 828 | END SUBROUTINE vor_eeT |
---|
| 829 | |
---|
| 830 | |
---|
[2528] | 831 | SUBROUTINE dyn_vor_init |
---|
[3] | 832 | !!--------------------------------------------------------------------- |
---|
[2528] | 833 | !! *** ROUTINE dyn_vor_init *** |
---|
[3] | 834 | !! |
---|
| 835 | !! ** Purpose : Control the consistency between cpp options for |
---|
[1438] | 836 | !! tracer advection schemes |
---|
[3] | 837 | !!---------------------------------------------------------------------- |
---|
[9528] | 838 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 839 | INTEGER :: ioptio, ios ! local integer |
---|
[2715] | 840 | !! |
---|
[9528] | 841 | NAMELIST/namdyn_vor/ ln_dynvor_ens, ln_dynvor_ene, ln_dynvor_enT, ln_dynvor_eeT, & |
---|
| 842 | & ln_dynvor_een, nn_een_e3f , ln_dynvor_mix, ln_dynvor_msk |
---|
[3] | 843 | !!---------------------------------------------------------------------- |
---|
[9528] | 844 | ! |
---|
| 845 | IF(lwp) THEN |
---|
| 846 | WRITE(numout,*) |
---|
| 847 | WRITE(numout,*) 'dyn_vor_init : vorticity term : read namelist and control the consistency' |
---|
| 848 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
| 849 | ENDIF |
---|
| 850 | ! |
---|
[4147] | 851 | REWIND( numnam_ref ) ! Namelist namdyn_vor in reference namelist : Vorticity scheme options |
---|
| 852 | READ ( numnam_ref, namdyn_vor, IOSTAT = ios, ERR = 901) |
---|
[11536] | 853 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namdyn_vor in reference namelist' ) |
---|
[4147] | 854 | REWIND( numnam_cfg ) ! Namelist namdyn_vor in configuration namelist : Vorticity scheme options |
---|
| 855 | READ ( numnam_cfg, namdyn_vor, IOSTAT = ios, ERR = 902 ) |
---|
[11536] | 856 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namdyn_vor in configuration namelist' ) |
---|
[4624] | 857 | IF(lwm) WRITE ( numond, namdyn_vor ) |
---|
[9528] | 858 | ! |
---|
[503] | 859 | IF(lwp) THEN ! Namelist print |
---|
[7646] | 860 | WRITE(numout,*) ' Namelist namdyn_vor : choice of the vorticity term scheme' |
---|
| 861 | WRITE(numout,*) ' enstrophy conserving scheme ln_dynvor_ens = ', ln_dynvor_ens |
---|
[9528] | 862 | WRITE(numout,*) ' f-point energy conserving scheme ln_dynvor_ene = ', ln_dynvor_ene |
---|
| 863 | WRITE(numout,*) ' t-point energy conserving scheme ln_dynvor_enT = ', ln_dynvor_enT |
---|
| 864 | WRITE(numout,*) ' energy conserving scheme (een using e3t) ln_dynvor_eeT = ', ln_dynvor_eeT |
---|
[7646] | 865 | WRITE(numout,*) ' enstrophy and energy conserving scheme ln_dynvor_een = ', ln_dynvor_een |
---|
| 866 | WRITE(numout,*) ' e3f = averaging /4 (=0) or /sum(tmask) (=1) nn_een_e3f = ', nn_een_e3f |
---|
[9528] | 867 | WRITE(numout,*) ' mixed enstrophy/energy conserving scheme ln_dynvor_mix = ', ln_dynvor_mix |
---|
[7646] | 868 | WRITE(numout,*) ' masked (=T) or unmasked(=F) vorticity ln_dynvor_msk = ', ln_dynvor_msk |
---|
[52] | 869 | ENDIF |
---|
| 870 | |
---|
[9528] | 871 | IF( ln_dynvor_msk ) CALL ctl_stop( 'dyn_vor_init: masked vorticity is not currently not available') |
---|
| 872 | |
---|
[5836] | 873 | !!gm this should be removed when choosing a unique strategy for fmask at the coast |
---|
[3294] | 874 | ! If energy, enstrophy or mixed advection of momentum in vector form change the value for masks |
---|
| 875 | ! at angles with three ocean points and one land point |
---|
[5836] | 876 | IF(lwp) WRITE(numout,*) |
---|
[7646] | 877 | IF(lwp) WRITE(numout,*) ' change fmask value in the angles (T) ln_vorlat = ', ln_vorlat |
---|
[3294] | 878 | IF( ln_vorlat .AND. ( ln_dynvor_ene .OR. ln_dynvor_ens .OR. ln_dynvor_mix ) ) THEN |
---|
| 879 | DO jk = 1, jpk |
---|
[9528] | 880 | DO jj = 1, jpjm1 |
---|
| 881 | DO ji = 1, jpim1 |
---|
| 882 | IF( tmask(ji,jj+1,jk) + tmask(ji+1,jj+1,jk) & |
---|
| 883 | & + tmask(ji,jj ,jk) + tmask(ji+1,jj+1,jk) == 3._wp ) fmask(ji,jj,jk) = 1._wp |
---|
[3294] | 884 | END DO |
---|
| 885 | END DO |
---|
| 886 | END DO |
---|
[9528] | 887 | ! |
---|
[10425] | 888 | CALL lbc_lnk( 'dynvor', fmask, 'F', 1._wp ) ! Lateral boundary conditions on fmask |
---|
[9528] | 889 | ! |
---|
[3294] | 890 | ENDIF |
---|
[5836] | 891 | !!gm end |
---|
[3294] | 892 | |
---|
[5836] | 893 | ioptio = 0 ! type of scheme for vorticity (set nvor_scheme) |
---|
[9528] | 894 | IF( ln_dynvor_ens ) THEN ; ioptio = ioptio + 1 ; nvor_scheme = np_ENS ; ENDIF |
---|
| 895 | IF( ln_dynvor_ene ) THEN ; ioptio = ioptio + 1 ; nvor_scheme = np_ENE ; ENDIF |
---|
| 896 | IF( ln_dynvor_enT ) THEN ; ioptio = ioptio + 1 ; nvor_scheme = np_ENT ; ENDIF |
---|
| 897 | IF( ln_dynvor_eeT ) THEN ; ioptio = ioptio + 1 ; nvor_scheme = np_EET ; ENDIF |
---|
| 898 | IF( ln_dynvor_een ) THEN ; ioptio = ioptio + 1 ; nvor_scheme = np_EEN ; ENDIF |
---|
| 899 | IF( ln_dynvor_mix ) THEN ; ioptio = ioptio + 1 ; nvor_scheme = np_MIX ; ENDIF |
---|
[5836] | 900 | ! |
---|
[6140] | 901 | IF( ioptio /= 1 ) CALL ctl_stop( ' use ONE and ONLY one vorticity scheme' ) |
---|
[5836] | 902 | ! |
---|
| 903 | IF(lwp) WRITE(numout,*) ! type of calculated vorticity (set ncor, nrvm, ntot) |
---|
[9019] | 904 | ncor = np_COR ! planetary vorticity |
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| 905 | SELECT CASE( n_dynadv ) |
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| 906 | CASE( np_LIN_dyn ) |
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[9190] | 907 | IF(lwp) WRITE(numout,*) ' ==>>> linear dynamics : total vorticity = Coriolis' |
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[9019] | 908 | nrvm = np_COR ! planetary vorticity |
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| 909 | ntot = np_COR ! - - |
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| 910 | CASE( np_VEC_c2 ) |
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[9190] | 911 | IF(lwp) WRITE(numout,*) ' ==>>> vector form dynamics : total vorticity = Coriolis + relative vorticity' |
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[5836] | 912 | nrvm = np_RVO ! relative vorticity |
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[9019] | 913 | ntot = np_CRV ! relative + planetary vorticity |
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| 914 | CASE( np_FLX_c2 , np_FLX_ubs ) |
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[9190] | 915 | IF(lwp) WRITE(numout,*) ' ==>>> flux form dynamics : total vorticity = Coriolis + metric term' |
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[5836] | 916 | nrvm = np_MET ! metric term |
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| 917 | ntot = np_CME ! Coriolis + metric term |
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[9528] | 918 | ! |
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| 919 | SELECT CASE( nvor_scheme ) ! pre-computed gradients for the metric term: |
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| 920 | CASE( np_ENT ) !* T-point metric term : pre-compute di(e2u)/2 and dj(e1v)/2 |
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| 921 | ALLOCATE( di_e2u_2(jpi,jpj), dj_e1v_2(jpi,jpj) ) |
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| 922 | DO jj = 2, jpjm1 |
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| 923 | DO ji = 2, jpim1 |
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| 924 | di_e2u_2(ji,jj) = ( e2u(ji,jj) - e2u(ji-1,jj ) ) * 0.5_wp |
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| 925 | dj_e1v_2(ji,jj) = ( e1v(ji,jj) - e1v(ji ,jj-1) ) * 0.5_wp |
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| 926 | END DO |
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| 927 | END DO |
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[10425] | 928 | CALL lbc_lnk_multi( 'dynvor', di_e2u_2, 'T', -1. , dj_e1v_2, 'T', -1. ) ! Lateral boundary conditions |
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[9528] | 929 | ! |
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| 930 | CASE DEFAULT !* F-point metric term : pre-compute di(e2u)/(2*e1e2f) and dj(e1v)/(2*e1e2f) |
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| 931 | ALLOCATE( di_e2v_2e1e2f(jpi,jpj), dj_e1u_2e1e2f(jpi,jpj) ) |
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| 932 | DO jj = 1, jpjm1 |
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| 933 | DO ji = 1, jpim1 |
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| 934 | di_e2v_2e1e2f(ji,jj) = ( e2v(ji+1,jj ) - e2v(ji,jj) ) * 0.5 * r1_e1e2f(ji,jj) |
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| 935 | dj_e1u_2e1e2f(ji,jj) = ( e1u(ji ,jj+1) - e1u(ji,jj) ) * 0.5 * r1_e1e2f(ji,jj) |
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| 936 | END DO |
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| 937 | END DO |
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[10425] | 938 | CALL lbc_lnk_multi( 'dynvor', di_e2v_2e1e2f, 'F', -1. , dj_e1u_2e1e2f, 'F', -1. ) ! Lateral boundary conditions |
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[9528] | 939 | END SELECT |
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| 940 | ! |
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[9019] | 941 | END SELECT |
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[643] | 942 | |
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[503] | 943 | IF(lwp) THEN ! Print the choice |
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| 944 | WRITE(numout,*) |
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[9019] | 945 | SELECT CASE( nvor_scheme ) |
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[9528] | 946 | CASE( np_ENS ) ; WRITE(numout,*) ' ==>>> enstrophy conserving scheme (ENS)' |
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| 947 | CASE( np_ENE ) ; WRITE(numout,*) ' ==>>> energy conserving scheme (Coriolis at F-points) (ENE)' |
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| 948 | CASE( np_ENT ) ; WRITE(numout,*) ' ==>>> energy conserving scheme (Coriolis at T-points) (ENT)' |
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| 949 | CASE( np_EET ) ; WRITE(numout,*) ' ==>>> energy conserving scheme (EEN scheme using e3t) (EET)' |
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| 950 | CASE( np_EEN ) ; WRITE(numout,*) ' ==>>> energy and enstrophy conserving scheme (EEN)' |
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| 951 | CASE( np_MIX ) ; WRITE(numout,*) ' ==>>> mixed enstrophy/energy conserving scheme (MIX)' |
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[9019] | 952 | END SELECT |
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[3] | 953 | ENDIF |
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[503] | 954 | ! |
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[2528] | 955 | END SUBROUTINE dyn_vor_init |
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[3] | 956 | |
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[503] | 957 | !!============================================================================== |
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[3] | 958 | END MODULE dynvor |
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