[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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| 8 | !! 5.0 ! 1991-11 (G. Madec) vor_ene, vor_mix: Original code |
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| 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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| 16 | !! 3.3 ! 2010-10 (C. Ethe, G. Madec) reorganisation of initialisation phase |
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[4990] | 17 | !! 3.7 ! 2014-04 (G. Madec) trend simplification: suppress jpdyn_trd_dat vorticity |
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[503] | 18 | !!---------------------------------------------------------------------- |
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[3] | 19 | |
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| 20 | !!---------------------------------------------------------------------- |
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[2528] | 21 | !! dyn_vor : Update the momentum trend with the vorticity trend |
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| 22 | !! vor_ens : enstrophy conserving scheme (ln_dynvor_ens=T) |
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| 23 | !! vor_ene : energy conserving scheme (ln_dynvor_ene=T) |
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| 24 | !! vor_mix : mixed enstrophy/energy conserving (ln_dynvor_mix=T) |
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| 25 | !! vor_een : energy and enstrophy conserving (ln_dynvor_een=T) |
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| 26 | !! dyn_vor_init : set and control of the different vorticity option |
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[3] | 27 | !!---------------------------------------------------------------------- |
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[503] | 28 | USE oce ! ocean dynamics and tracers |
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| 29 | USE dom_oce ! ocean space and time domain |
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[3294] | 30 | USE dommsk ! ocean mask |
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[643] | 31 | USE dynadv ! momentum advection (use ln_dynadv_vec value) |
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[4990] | 32 | USE trd_oce ! trends: ocean variables |
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| 33 | USE trddyn ! trend manager: dynamics |
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[503] | 34 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 35 | USE prtctl ! Print control |
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| 36 | USE in_out_manager ! I/O manager |
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[3294] | 37 | USE lib_mpp ! MPP library |
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| 38 | USE wrk_nemo ! Memory Allocation |
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| 39 | USE timing ! Timing |
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[8280] | 40 | USE lib_fortran |
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[3] | 41 | |
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[3294] | 42 | |
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[11738] | 43 | USE yomhook, ONLY: lhook, dr_hook |
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| 44 | USE parkind1, ONLY: jprb, jpim |
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| 45 | |
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[3] | 46 | IMPLICIT NONE |
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| 47 | PRIVATE |
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| 48 | |
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[2528] | 49 | PUBLIC dyn_vor ! routine called by step.F90 |
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| 50 | PUBLIC dyn_vor_init ! routine called by opa.F90 |
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[3] | 51 | |
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[4147] | 52 | ! !!* Namelist namdyn_vor: vorticity term |
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| 53 | LOGICAL, PUBLIC :: ln_dynvor_ene !: energy conserving scheme |
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| 54 | LOGICAL, PUBLIC :: ln_dynvor_ens !: enstrophy conserving scheme |
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| 55 | LOGICAL, PUBLIC :: ln_dynvor_mix !: mixed scheme |
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| 56 | LOGICAL, PUBLIC :: ln_dynvor_een !: energy and enstrophy conserving scheme |
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[5029] | 57 | LOGICAL, PUBLIC :: ln_dynvor_een_old !: energy and enstrophy conserving scheme (original formulation) |
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[3] | 58 | |
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[503] | 59 | INTEGER :: nvor = 0 ! type of vorticity trend used |
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[643] | 60 | INTEGER :: ncor = 1 ! coriolis |
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| 61 | INTEGER :: nrvm = 2 ! =2 relative vorticity ; =3 metric term |
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| 62 | INTEGER :: ntot = 4 ! =4 total vorticity (relative + planetary) ; =5 coriolis + metric term |
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[455] | 63 | |
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[3] | 64 | !! * Substitutions |
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| 65 | # include "domzgr_substitute.h90" |
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| 66 | # include "vectopt_loop_substitute.h90" |
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| 67 | !!---------------------------------------------------------------------- |
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[2528] | 68 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[1152] | 69 | !! $Id$ |
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[2715] | 70 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 71 | !!---------------------------------------------------------------------- |
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| 72 | CONTAINS |
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| 73 | |
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[455] | 74 | SUBROUTINE dyn_vor( kt ) |
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[3] | 75 | !!---------------------------------------------------------------------- |
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| 76 | !! |
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[455] | 77 | !! ** Purpose : compute the lateral ocean tracer physics. |
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| 78 | !! |
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| 79 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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[503] | 80 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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[4990] | 81 | !! and planetary vorticity trends) and send them to trd_dyn |
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| 82 | !! for futher diagnostics (l_trddyn=T) |
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[503] | 83 | !!---------------------------------------------------------------------- |
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[3294] | 84 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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[2715] | 85 | ! |
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[3294] | 86 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrdu, ztrdv |
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[11738] | 87 | INTEGER(KIND=jpim), PARAMETER :: zhook_in = 0 |
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| 88 | INTEGER(KIND=jpim), PARAMETER :: zhook_out = 1 |
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| 89 | REAL(KIND=jprb) :: zhook_handle |
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| 90 | |
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| 91 | CHARACTER(LEN=*), PARAMETER :: RoutineName='DYN_VOR' |
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| 92 | |
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| 93 | IF (lhook) CALL dr_hook(RoutineName,zhook_in,zhook_handle) |
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| 94 | |
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[455] | 95 | !!---------------------------------------------------------------------- |
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[2715] | 96 | ! |
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[3294] | 97 | IF( nn_timing == 1 ) CALL timing_start('dyn_vor') |
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| 98 | ! |
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| 99 | IF( l_trddyn ) CALL wrk_alloc( jpi,jpj,jpk, ztrdu, ztrdv ) |
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| 100 | ! |
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[643] | 101 | ! ! vorticity term |
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[455] | 102 | SELECT CASE ( nvor ) ! compute the vorticity trend and add it to the general trend |
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[643] | 103 | ! |
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[455] | 104 | CASE ( -1 ) ! esopa: test all possibility with control print |
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[643] | 105 | CALL vor_ene( kt, ntot, ua, va ) |
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[503] | 106 | CALL prt_ctl( tab3d_1=ua, clinfo1=' vor0 - Ua: ', mask1=umask, & |
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| 107 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[643] | 108 | CALL vor_ens( kt, ntot, ua, va ) |
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[503] | 109 | CALL prt_ctl( tab3d_1=ua, clinfo1=' vor1 - Ua: ', mask1=umask, & |
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| 110 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[455] | 111 | CALL vor_mix( kt ) |
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[503] | 112 | CALL prt_ctl( tab3d_1=ua, clinfo1=' vor2 - Ua: ', mask1=umask, & |
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| 113 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[643] | 114 | CALL vor_een( kt, ntot, ua, va ) |
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[503] | 115 | CALL prt_ctl( tab3d_1=ua, clinfo1=' vor3 - Ua: ', mask1=umask, & |
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| 116 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[643] | 117 | ! |
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[455] | 118 | CASE ( 0 ) ! energy conserving scheme |
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| 119 | IF( l_trddyn ) THEN |
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| 120 | ztrdu(:,:,:) = ua(:,:,:) |
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| 121 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 122 | CALL vor_ene( kt, nrvm, ua, va ) ! relative vorticity or metric trend |
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[455] | 123 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 124 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[4990] | 125 | CALL trd_dyn( ztrdu, ztrdv, jpdyn_rvo, kt ) |
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[455] | 126 | ztrdu(:,:,:) = ua(:,:,:) |
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| 127 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 128 | CALL vor_ene( kt, ncor, ua, va ) ! planetary vorticity trend |
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[455] | 129 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 130 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[4990] | 131 | CALL trd_dyn( ztrdu, ztrdv, jpdyn_pvo, kt ) |
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[455] | 132 | ELSE |
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[643] | 133 | CALL vor_ene( kt, ntot, ua, va ) ! total vorticity |
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[455] | 134 | ENDIF |
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[643] | 135 | ! |
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[455] | 136 | CASE ( 1 ) ! enstrophy conserving scheme |
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| 137 | IF( l_trddyn ) THEN |
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| 138 | ztrdu(:,:,:) = ua(:,:,:) |
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| 139 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 140 | CALL vor_ens( kt, nrvm, ua, va ) ! relative vorticity or metric trend |
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[455] | 141 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 142 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[4990] | 143 | CALL trd_dyn( ztrdu, ztrdv, jpdyn_rvo, kt ) |
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[455] | 144 | ztrdu(:,:,:) = ua(:,:,:) |
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| 145 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 146 | CALL vor_ens( kt, ncor, ua, va ) ! planetary vorticity trend |
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[455] | 147 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 148 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[4990] | 149 | CALL trd_dyn( ztrdu, ztrdv, jpdyn_pvo, kt ) |
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[455] | 150 | ELSE |
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[643] | 151 | CALL vor_ens( kt, ntot, ua, va ) ! total vorticity |
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[455] | 152 | ENDIF |
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[643] | 153 | ! |
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[455] | 154 | CASE ( 2 ) ! mixed ene-ens scheme |
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| 155 | IF( l_trddyn ) THEN |
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| 156 | ztrdu(:,:,:) = ua(:,:,:) |
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| 157 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 158 | CALL vor_ens( kt, nrvm, ua, va ) ! relative vorticity or metric trend (ens) |
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[455] | 159 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 160 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[4990] | 161 | CALL trd_dyn( ztrdu, ztrdv, jpdyn_rvo, kt ) |
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[455] | 162 | ztrdu(:,:,:) = ua(:,:,:) |
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| 163 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 164 | CALL vor_ene( kt, ncor, ua, va ) ! planetary vorticity trend (ene) |
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[455] | 165 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 166 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[4990] | 167 | CALL trd_dyn( ztrdu, ztrdv, jpdyn_pvo, kt ) |
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[455] | 168 | ELSE |
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| 169 | CALL vor_mix( kt ) ! total vorticity (mix=ens-ene) |
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| 170 | ENDIF |
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[643] | 171 | ! |
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[455] | 172 | CASE ( 3 ) ! energy and enstrophy conserving scheme |
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| 173 | IF( l_trddyn ) THEN |
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| 174 | ztrdu(:,:,:) = ua(:,:,:) |
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| 175 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 176 | CALL vor_een( kt, nrvm, ua, va ) ! relative vorticity or metric trend |
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[455] | 177 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 178 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[4990] | 179 | CALL trd_dyn( ztrdu, ztrdv, jpdyn_rvo, kt ) |
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[455] | 180 | ztrdu(:,:,:) = ua(:,:,:) |
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| 181 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 182 | CALL vor_een( kt, ncor, ua, va ) ! planetary vorticity trend |
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[455] | 183 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 184 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[4990] | 185 | CALL trd_dyn( ztrdu, ztrdv, jpdyn_pvo, kt ) |
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[455] | 186 | ELSE |
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[643] | 187 | CALL vor_een( kt, ntot, ua, va ) ! total vorticity |
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[455] | 188 | ENDIF |
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[643] | 189 | ! |
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[455] | 190 | END SELECT |
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[2715] | 191 | ! |
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[455] | 192 | ! ! print sum trends (used for debugging) |
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[2715] | 193 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' vor - Ua: ', mask1=umask, & |
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[455] | 194 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[1438] | 195 | ! |
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[3294] | 196 | IF( l_trddyn ) CALL wrk_dealloc( jpi,jpj,jpk, ztrdu, ztrdv ) |
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| 197 | ! |
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| 198 | IF( nn_timing == 1 ) CALL timing_stop('dyn_vor') |
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| 199 | ! |
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[11738] | 200 | IF (lhook) CALL dr_hook(RoutineName,zhook_out,zhook_handle) |
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[455] | 201 | END SUBROUTINE dyn_vor |
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| 202 | |
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| 203 | |
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[643] | 204 | SUBROUTINE vor_ene( kt, kvor, pua, pva ) |
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[455] | 205 | !!---------------------------------------------------------------------- |
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| 206 | !! *** ROUTINE vor_ene *** |
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| 207 | !! |
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[3] | 208 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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| 209 | !! the general trend of the momentum equation. |
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| 210 | !! |
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| 211 | !! ** Method : Trend evaluated using now fields (centered in time) |
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| 212 | !! and the Sadourny (1975) flux form formulation : conserves the |
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| 213 | !! horizontal kinetic energy. |
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| 214 | !! The trend of the vorticity term is given by: |
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[455] | 215 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivatives: |
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[3] | 216 | !! voru = 1/e1u mj-1[ (rotn+f)/e3f mi(e1v*e3v vn) ] |
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| 217 | !! vorv = 1/e2v mi-1[ (rotn+f)/e3f mj(e2u*e3u un) ] |
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| 218 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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| 219 | !! voru = 1/e1u mj-1[ (rotn+f) mi(e1v vn) ] |
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| 220 | !! vorv = 1/e2v mi-1[ (rotn+f) mj(e2u un) ] |
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| 221 | !! Add this trend to the general momentum trend (ua,va): |
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| 222 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
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| 223 | !! |
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| 224 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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| 225 | !! |
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[503] | 226 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
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[3] | 227 | !!---------------------------------------------------------------------- |
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[2715] | 228 | ! |
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[643] | 229 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 230 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
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[1438] | 231 | ! ! =nrvm (relative vorticity or metric) |
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[643] | 232 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua ! total u-trend |
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| 233 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva ! total v-trend |
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[2715] | 234 | ! |
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| 235 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 236 | REAL(wp) :: zx1, zy1, zfact2, zx2, zy2 ! local scalars |
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[3294] | 237 | REAL(wp), POINTER, DIMENSION(:,:) :: zwx, zwy, zwz |
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[11738] | 238 | INTEGER(KIND=jpim), PARAMETER :: zhook_in = 0 |
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| 239 | INTEGER(KIND=jpim), PARAMETER :: zhook_out = 1 |
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| 240 | REAL(KIND=jprb) :: zhook_handle |
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| 241 | |
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| 242 | CHARACTER(LEN=*), PARAMETER :: RoutineName='VOR_ENE' |
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| 243 | |
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| 244 | IF (lhook) CALL dr_hook(RoutineName,zhook_in,zhook_handle) |
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| 245 | |
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[3] | 246 | !!---------------------------------------------------------------------- |
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[3294] | 247 | ! |
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| 248 | IF( nn_timing == 1 ) CALL timing_start('vor_ene') |
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| 249 | ! |
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| 250 | CALL wrk_alloc( jpi, jpj, zwx, zwy, zwz ) |
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| 251 | ! |
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[52] | 252 | IF( kt == nit000 ) THEN |
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| 253 | IF(lwp) WRITE(numout,*) |
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[455] | 254 | IF(lwp) WRITE(numout,*) 'dyn:vor_ene : vorticity term: energy conserving scheme' |
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| 255 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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[52] | 256 | ENDIF |
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[3] | 257 | |
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[1438] | 258 | zfact2 = 0.5 * 0.5 ! Local constant initialization |
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[216] | 259 | |
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[455] | 260 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz ) |
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[3] | 261 | ! ! =============== |
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| 262 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 263 | ! ! =============== |
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[1438] | 264 | ! |
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[3] | 265 | ! Potential vorticity and horizontal fluxes |
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| 266 | ! ----------------------------------------- |
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[643] | 267 | SELECT CASE( kvor ) ! vorticity considered |
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| 268 | CASE ( 1 ) ; zwz(:,:) = ff(:,:) ! planetary vorticity (Coriolis) |
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| 269 | CASE ( 2 ) ; zwz(:,:) = rotn(:,:,jk) ! relative vorticity |
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| 270 | CASE ( 3 ) ! metric term |
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| 271 | DO jj = 1, jpjm1 |
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| 272 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 273 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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| 274 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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| 275 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
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| 276 | END DO |
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| 277 | END DO |
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| 278 | CASE ( 4 ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) ! total (relative + planetary vorticity) |
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| 279 | CASE ( 5 ) ! total (coriolis + metric) |
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| 280 | DO jj = 1, jpjm1 |
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| 281 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 282 | zwz(ji,jj) = ( ff (ji,jj) & |
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| 283 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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| 284 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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| 285 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
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| 286 | & ) |
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| 287 | END DO |
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| 288 | END DO |
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[455] | 289 | END SELECT |
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| 290 | |
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| 291 | IF( ln_sco ) THEN |
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| 292 | zwz(:,:) = zwz(:,:) / fse3f(:,:,jk) |
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[3] | 293 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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| 294 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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| 295 | ELSE |
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| 296 | zwx(:,:) = e2u(:,:) * un(:,:,jk) |
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| 297 | zwy(:,:) = e1v(:,:) * vn(:,:,jk) |
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| 298 | ENDIF |
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| 299 | |
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| 300 | ! Compute and add the vorticity term trend |
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| 301 | ! ---------------------------------------- |
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| 302 | DO jj = 2, jpjm1 |
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| 303 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 304 | zy1 = zwy(ji,jj-1) + zwy(ji+1,jj-1) |
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| 305 | zy2 = zwy(ji,jj ) + zwy(ji+1,jj ) |
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| 306 | zx1 = zwx(ji-1,jj) + zwx(ji-1,jj+1) |
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| 307 | zx2 = zwx(ji ,jj) + zwx(ji ,jj+1) |
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[455] | 308 | pua(ji,jj,jk) = pua(ji,jj,jk) + zfact2 / e1u(ji,jj) * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
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| 309 | pva(ji,jj,jk) = pva(ji,jj,jk) - zfact2 / e2v(ji,jj) * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
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[3] | 310 | END DO |
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| 311 | END DO |
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| 312 | ! ! =============== |
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| 313 | END DO ! End of slab |
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| 314 | ! ! =============== |
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[3294] | 315 | CALL wrk_dealloc( jpi, jpj, zwx, zwy, zwz ) |
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[2715] | 316 | ! |
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[3294] | 317 | IF( nn_timing == 1 ) CALL timing_stop('vor_ene') |
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| 318 | ! |
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[11738] | 319 | IF (lhook) CALL dr_hook(RoutineName,zhook_out,zhook_handle) |
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[455] | 320 | END SUBROUTINE vor_ene |
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[216] | 321 | |
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| 322 | |
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[455] | 323 | SUBROUTINE vor_mix( kt ) |
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[3] | 324 | !!---------------------------------------------------------------------- |
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[455] | 325 | !! *** ROUTINE vor_mix *** |
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[3] | 326 | !! |
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| 327 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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| 328 | !! the general trend of the momentum equation. |
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| 329 | !! |
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| 330 | !! ** Method : Trend evaluated using now fields (centered in time) |
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| 331 | !! Mixte formulation : conserves the potential enstrophy of a hori- |
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| 332 | !! zontally non-divergent flow for (rotzu x uh), the relative vor- |
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| 333 | !! ticity term and the horizontal kinetic energy for (f x uh), the |
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| 334 | !! coriolis term. the now trend of the vorticity term is given by: |
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[455] | 335 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivatives: |
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[3] | 336 | !! voru = 1/e1u mj-1(rotn/e3f) mj-1[ mi(e1v*e3v vn) ] |
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| 337 | !! +1/e1u mj-1[ f/e3f mi(e1v*e3v vn) ] |
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| 338 | !! vorv = 1/e2v mi-1(rotn/e3f) mi-1[ mj(e2u*e3u un) ] |
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| 339 | !! +1/e2v mi-1[ f/e3f mj(e2u*e3u un) ] |
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| 340 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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| 341 | !! voru = 1/e1u mj-1(rotn) mj-1[ mi(e1v vn) ] |
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| 342 | !! +1/e1u mj-1[ f mi(e1v vn) ] |
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| 343 | !! vorv = 1/e2v mi-1(rotn) mi-1[ mj(e2u un) ] |
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| 344 | !! +1/e2v mi-1[ f mj(e2u un) ] |
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| 345 | !! Add this now trend to the general momentum trend (ua,va): |
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| 346 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
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| 347 | !! |
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| 348 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
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| 349 | !! |
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[503] | 350 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
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[3] | 351 | !!---------------------------------------------------------------------- |
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[2715] | 352 | ! |
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[503] | 353 | INTEGER, INTENT(in) :: kt ! ocean timestep index |
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[2715] | 354 | ! |
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[1438] | 355 | INTEGER :: ji, jj, jk ! dummy loop indices |
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[2715] | 356 | REAL(wp) :: zfact1, zua, zcua, zx1, zy1 ! local scalars |
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| 357 | REAL(wp) :: zfact2, zva, zcva, zx2, zy2 ! - - |
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[3294] | 358 | REAL(wp), POINTER, DIMENSION(:,:) :: zwx, zwy, zwz, zww |
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[11738] | 359 | INTEGER(KIND=jpim), PARAMETER :: zhook_in = 0 |
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| 360 | INTEGER(KIND=jpim), PARAMETER :: zhook_out = 1 |
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| 361 | REAL(KIND=jprb) :: zhook_handle |
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| 362 | |
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| 363 | CHARACTER(LEN=*), PARAMETER :: RoutineName='VOR_MIX' |
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| 364 | |
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| 365 | IF (lhook) CALL dr_hook(RoutineName,zhook_in,zhook_handle) |
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| 366 | |
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[3] | 367 | !!---------------------------------------------------------------------- |
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[3294] | 368 | ! |
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| 369 | IF( nn_timing == 1 ) CALL timing_start('vor_mix') |
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| 370 | ! |
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| 371 | CALL wrk_alloc( jpi, jpj, zwx, zwy, zwz, zww ) |
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| 372 | ! |
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[52] | 373 | IF( kt == nit000 ) THEN |
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| 374 | IF(lwp) WRITE(numout,*) |
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[455] | 375 | IF(lwp) WRITE(numout,*) 'dyn:vor_mix : vorticity term: mixed energy/enstrophy conserving scheme' |
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| 376 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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[52] | 377 | ENDIF |
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[3] | 378 | |
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[1438] | 379 | zfact1 = 0.5 * 0.25 ! Local constant initialization |
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[3] | 380 | zfact2 = 0.5 * 0.5 |
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| 381 | |
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[455] | 382 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz, zww ) |
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[3] | 383 | ! ! =============== |
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| 384 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 385 | ! ! =============== |
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[1438] | 386 | ! |
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[3] | 387 | ! Relative and planetary potential vorticity and horizontal fluxes |
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| 388 | ! ---------------------------------------------------------------- |
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[455] | 389 | IF( ln_sco ) THEN |
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[643] | 390 | IF( ln_dynadv_vec ) THEN |
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| 391 | zww(:,:) = rotn(:,:,jk) / fse3f(:,:,jk) |
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| 392 | ELSE |
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| 393 | DO jj = 1, jpjm1 |
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| 394 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 395 | zww(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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| 396 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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| 397 | & * 0.5 / ( e1f(ji,jj) * e2f (ji,jj) * fse3f(ji,jj,jk) ) |
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| 398 | END DO |
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| 399 | END DO |
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| 400 | ENDIF |
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[3] | 401 | zwz(:,:) = ff (:,:) / fse3f(:,:,jk) |
---|
| 402 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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| 403 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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| 404 | ELSE |
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[643] | 405 | IF( ln_dynadv_vec ) THEN |
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| 406 | zww(:,:) = rotn(:,:,jk) |
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| 407 | ELSE |
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| 408 | DO jj = 1, jpjm1 |
---|
| 409 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 410 | zww(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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| 411 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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| 412 | & * 0.5 / ( e1f(ji,jj) * e2f (ji,jj) ) |
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| 413 | END DO |
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| 414 | END DO |
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| 415 | ENDIF |
---|
| 416 | zwz(:,:) = ff (:,:) |
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[3] | 417 | zwx(:,:) = e2u(:,:) * un(:,:,jk) |
---|
| 418 | zwy(:,:) = e1v(:,:) * vn(:,:,jk) |
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| 419 | ENDIF |
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| 420 | |
---|
| 421 | ! Compute and add the vorticity term trend |
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| 422 | ! ---------------------------------------- |
---|
| 423 | DO jj = 2, jpjm1 |
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| 424 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 425 | zy1 = ( zwy(ji,jj-1) + zwy(ji+1,jj-1) ) / e1u(ji,jj) |
---|
| 426 | zy2 = ( zwy(ji,jj ) + zwy(ji+1,jj ) ) / e1u(ji,jj) |
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| 427 | zx1 = ( zwx(ji-1,jj) + zwx(ji-1,jj+1) ) / e2v(ji,jj) |
---|
| 428 | zx2 = ( zwx(ji ,jj) + zwx(ji ,jj+1) ) / e2v(ji,jj) |
---|
| 429 | ! enstrophy conserving formulation for relative vorticity term |
---|
| 430 | zua = zfact1 * ( zww(ji ,jj-1) + zww(ji,jj) ) * ( zy1 + zy2 ) |
---|
| 431 | zva =-zfact1 * ( zww(ji-1,jj ) + zww(ji,jj) ) * ( zx1 + zx2 ) |
---|
| 432 | ! energy conserving formulation for planetary vorticity term |
---|
| 433 | zcua = zfact2 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
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| 434 | zcva =-zfact2 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
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[503] | 435 | ! mixed vorticity trend added to the momentum trends |
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[3] | 436 | ua(ji,jj,jk) = ua(ji,jj,jk) + zcua + zua |
---|
| 437 | va(ji,jj,jk) = va(ji,jj,jk) + zcva + zva |
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| 438 | END DO |
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| 439 | END DO |
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| 440 | ! ! =============== |
---|
| 441 | END DO ! End of slab |
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| 442 | ! ! =============== |
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[3294] | 443 | CALL wrk_dealloc( jpi, jpj, zwx, zwy, zwz, zww ) |
---|
[2715] | 444 | ! |
---|
[3294] | 445 | IF( nn_timing == 1 ) CALL timing_stop('vor_mix') |
---|
| 446 | ! |
---|
[11738] | 447 | IF (lhook) CALL dr_hook(RoutineName,zhook_out,zhook_handle) |
---|
[455] | 448 | END SUBROUTINE vor_mix |
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[216] | 449 | |
---|
| 450 | |
---|
[643] | 451 | SUBROUTINE vor_ens( kt, kvor, pua, pva ) |
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[3] | 452 | !!---------------------------------------------------------------------- |
---|
[455] | 453 | !! *** ROUTINE vor_ens *** |
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[3] | 454 | !! |
---|
| 455 | !! ** Purpose : Compute the now total vorticity trend and add it to |
---|
| 456 | !! the general trend of the momentum equation. |
---|
| 457 | !! |
---|
| 458 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
| 459 | !! and the Sadourny (1975) flux FORM formulation : conserves the |
---|
| 460 | !! potential enstrophy of a horizontally non-divergent flow. the |
---|
| 461 | !! trend of the vorticity term is given by: |
---|
[455] | 462 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivative: |
---|
[3] | 463 | !! voru = 1/e1u mj-1[ (rotn+f)/e3f ] mj-1[ mi(e1v*e3v vn) ] |
---|
| 464 | !! vorv = 1/e2v mi-1[ (rotn+f)/e3f ] mi-1[ mj(e2u*e3u un) ] |
---|
| 465 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
---|
| 466 | !! voru = 1/e1u mj-1[ rotn+f ] mj-1[ mi(e1v vn) ] |
---|
| 467 | !! vorv = 1/e2v mi-1[ rotn+f ] mi-1[ mj(e2u un) ] |
---|
| 468 | !! Add this trend to the general momentum trend (ua,va): |
---|
| 469 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
---|
| 470 | !! |
---|
| 471 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
---|
| 472 | !! |
---|
[503] | 473 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
---|
[3] | 474 | !!---------------------------------------------------------------------- |
---|
[2715] | 475 | ! |
---|
[643] | 476 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 477 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
---|
| 478 | ! ! =nrvm (relative vorticity or metric) |
---|
| 479 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua ! total u-trend |
---|
| 480 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva ! total v-trend |
---|
[2715] | 481 | ! |
---|
[503] | 482 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 483 | REAL(wp) :: zfact1, zuav, zvau ! temporary scalars |
---|
[3294] | 484 | REAL(wp), POINTER, DIMENSION(:,:) :: zwx, zwy, zwz, zww |
---|
[11738] | 485 | INTEGER(KIND=jpim), PARAMETER :: zhook_in = 0 |
---|
| 486 | INTEGER(KIND=jpim), PARAMETER :: zhook_out = 1 |
---|
| 487 | REAL(KIND=jprb) :: zhook_handle |
---|
| 488 | |
---|
| 489 | CHARACTER(LEN=*), PARAMETER :: RoutineName='VOR_ENS' |
---|
| 490 | |
---|
| 491 | IF (lhook) CALL dr_hook(RoutineName,zhook_in,zhook_handle) |
---|
| 492 | |
---|
[3] | 493 | !!---------------------------------------------------------------------- |
---|
[3294] | 494 | ! |
---|
| 495 | IF( nn_timing == 1 ) CALL timing_start('vor_ens') |
---|
| 496 | ! |
---|
| 497 | CALL wrk_alloc( jpi, jpj, zwx, zwy, zwz ) |
---|
| 498 | ! |
---|
[52] | 499 | IF( kt == nit000 ) THEN |
---|
| 500 | IF(lwp) WRITE(numout,*) |
---|
[455] | 501 | IF(lwp) WRITE(numout,*) 'dyn:vor_ens : vorticity term: enstrophy conserving scheme' |
---|
| 502 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
[52] | 503 | ENDIF |
---|
[3] | 504 | |
---|
[1438] | 505 | zfact1 = 0.5 * 0.25 ! Local constant initialization |
---|
[3] | 506 | |
---|
[455] | 507 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz ) |
---|
[3] | 508 | ! ! =============== |
---|
| 509 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 510 | ! ! =============== |
---|
[1438] | 511 | ! |
---|
[3] | 512 | ! Potential vorticity and horizontal fluxes |
---|
| 513 | ! ----------------------------------------- |
---|
[643] | 514 | SELECT CASE( kvor ) ! vorticity considered |
---|
| 515 | CASE ( 1 ) ; zwz(:,:) = ff(:,:) ! planetary vorticity (Coriolis) |
---|
| 516 | CASE ( 2 ) ; zwz(:,:) = rotn(:,:,jk) ! relative vorticity |
---|
| 517 | CASE ( 3 ) ! metric term |
---|
| 518 | DO jj = 1, jpjm1 |
---|
| 519 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 520 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 521 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 522 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
| 523 | END DO |
---|
| 524 | END DO |
---|
| 525 | CASE ( 4 ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) ! total (relative + planetary vorticity) |
---|
| 526 | CASE ( 5 ) ! total (coriolis + metric) |
---|
| 527 | DO jj = 1, jpjm1 |
---|
| 528 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 529 | zwz(ji,jj) = ( ff (ji,jj) & |
---|
| 530 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 531 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
[1438] | 532 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
---|
[643] | 533 | & ) |
---|
| 534 | END DO |
---|
| 535 | END DO |
---|
[455] | 536 | END SELECT |
---|
[1438] | 537 | ! |
---|
[455] | 538 | IF( ln_sco ) THEN |
---|
[3] | 539 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
| 540 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
[455] | 541 | zwz(ji,jj) = zwz(ji,jj) / fse3f(ji,jj,jk) |
---|
| 542 | zwx(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) * un(ji,jj,jk) |
---|
| 543 | zwy(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) * vn(ji,jj,jk) |
---|
[3] | 544 | END DO |
---|
| 545 | END DO |
---|
| 546 | ELSE |
---|
| 547 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
| 548 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
[455] | 549 | zwx(ji,jj) = e2u(ji,jj) * un(ji,jj,jk) |
---|
| 550 | zwy(ji,jj) = e1v(ji,jj) * vn(ji,jj,jk) |
---|
[3] | 551 | END DO |
---|
| 552 | END DO |
---|
| 553 | ENDIF |
---|
[1438] | 554 | ! |
---|
[3] | 555 | ! Compute and add the vorticity term trend |
---|
| 556 | ! ---------------------------------------- |
---|
| 557 | DO jj = 2, jpjm1 |
---|
| 558 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[455] | 559 | zuav = zfact1 / e1u(ji,jj) * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
---|
[503] | 560 | & + zwy(ji ,jj ) + zwy(ji+1,jj ) ) |
---|
[455] | 561 | zvau =-zfact1 / e2v(ji,jj) * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
---|
[503] | 562 | & + zwx(ji ,jj ) + zwx(ji ,jj+1) ) |
---|
[455] | 563 | pua(ji,jj,jk) = pua(ji,jj,jk) + zuav * ( zwz(ji ,jj-1) + zwz(ji,jj) ) |
---|
| 564 | pva(ji,jj,jk) = pva(ji,jj,jk) + zvau * ( zwz(ji-1,jj ) + zwz(ji,jj) ) |
---|
[3] | 565 | END DO |
---|
| 566 | END DO |
---|
| 567 | ! ! =============== |
---|
| 568 | END DO ! End of slab |
---|
| 569 | ! ! =============== |
---|
[3294] | 570 | CALL wrk_dealloc( jpi, jpj, zwx, zwy, zwz ) |
---|
[2715] | 571 | ! |
---|
[3294] | 572 | IF( nn_timing == 1 ) CALL timing_stop('vor_ens') |
---|
| 573 | ! |
---|
[11738] | 574 | IF (lhook) CALL dr_hook(RoutineName,zhook_out,zhook_handle) |
---|
[455] | 575 | END SUBROUTINE vor_ens |
---|
[216] | 576 | |
---|
| 577 | |
---|
[643] | 578 | SUBROUTINE vor_een( kt, kvor, pua, pva ) |
---|
[108] | 579 | !!---------------------------------------------------------------------- |
---|
[455] | 580 | !! *** ROUTINE vor_een *** |
---|
[108] | 581 | !! |
---|
| 582 | !! ** Purpose : Compute the now total vorticity trend and add it to |
---|
| 583 | !! the general trend of the momentum equation. |
---|
| 584 | !! |
---|
| 585 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
[1438] | 586 | !! and the Arakawa and Lamb (1980) flux form formulation : conserves |
---|
[108] | 587 | !! both the horizontal kinetic energy and the potential enstrophy |
---|
[1438] | 588 | !! when horizontal divergence is zero (see the NEMO documentation) |
---|
| 589 | !! Add this trend to the general momentum trend (ua,va). |
---|
[108] | 590 | !! |
---|
| 591 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
---|
| 592 | !! |
---|
[503] | 593 | !! References : Arakawa and Lamb 1980, Mon. Wea. Rev., 109, 18-36 |
---|
| 594 | !!---------------------------------------------------------------------- |
---|
[2715] | 595 | ! |
---|
[643] | 596 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 597 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
---|
[1438] | 598 | ! ! =nrvm (relative vorticity or metric) |
---|
[643] | 599 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua ! total u-trend |
---|
| 600 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva ! total v-trend |
---|
[218] | 601 | !! |
---|
[3294] | 602 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 603 | INTEGER :: ierr ! local integer |
---|
| 604 | REAL(wp) :: zfac12, zua, zva ! local scalars |
---|
[4292] | 605 | REAL(wp) :: zmsk, ze3 ! local scalars |
---|
[3294] | 606 | ! ! 3D workspace |
---|
| 607 | REAL(wp), POINTER , DIMENSION(:,: ) :: zwx, zwy, zwz |
---|
| 608 | REAL(wp), POINTER , DIMENSION(:,: ) :: ztnw, ztne, ztsw, ztse |
---|
| 609 | #if defined key_vvl |
---|
| 610 | REAL(wp), POINTER , DIMENSION(:,:,:) :: ze3f ! 3D workspace (lk_vvl=T) |
---|
[11738] | 611 | INTEGER(KIND=jpim), PARAMETER :: zhook_in = 0 |
---|
| 612 | INTEGER(KIND=jpim), PARAMETER :: zhook_out = 1 |
---|
| 613 | REAL(KIND=jprb) :: zhook_handle |
---|
| 614 | |
---|
| 615 | CHARACTER(LEN=*), PARAMETER :: RoutineName='VOR_EEN' |
---|
| 616 | |
---|
| 617 | IF (lhook) CALL dr_hook(RoutineName,zhook_in,zhook_handle) |
---|
| 618 | |
---|
[4292] | 619 | #else |
---|
[3294] | 620 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:), SAVE :: ze3f ! lk_vvl=F, ze3f=1/e3f saved one for all |
---|
[1438] | 621 | #endif |
---|
[108] | 622 | !!---------------------------------------------------------------------- |
---|
[3294] | 623 | ! |
---|
| 624 | IF( nn_timing == 1 ) CALL timing_start('vor_een') |
---|
| 625 | ! |
---|
| 626 | CALL wrk_alloc( jpi, jpj, zwx , zwy , zwz ) |
---|
| 627 | CALL wrk_alloc( jpi, jpj, ztnw, ztne, ztsw, ztse ) |
---|
| 628 | #if defined key_vvl |
---|
| 629 | CALL wrk_alloc( jpi, jpj, jpk, ze3f ) |
---|
| 630 | #endif |
---|
| 631 | ! |
---|
[108] | 632 | IF( kt == nit000 ) THEN |
---|
| 633 | IF(lwp) WRITE(numout,*) |
---|
[455] | 634 | IF(lwp) WRITE(numout,*) 'dyn:vor_een : vorticity term: energy and enstrophy conserving scheme' |
---|
| 635 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
[3802] | 636 | #if ! defined key_vvl |
---|
| 637 | IF( .NOT.ALLOCATED(ze3f) ) THEN |
---|
[2715] | 638 | ALLOCATE( ze3f(jpi,jpj,jpk) , STAT=ierr ) |
---|
| 639 | IF( lk_mpp ) CALL mpp_sum ( ierr ) |
---|
| 640 | IF( ierr /= 0 ) CALL ctl_stop( 'STOP', 'dyn:vor_een : unable to allocate arrays' ) |
---|
| 641 | ENDIF |
---|
[4990] | 642 | ze3f(:,:,:) = 0._wp |
---|
[3802] | 643 | #endif |
---|
[1438] | 644 | ENDIF |
---|
[108] | 645 | |
---|
[4292] | 646 | IF( kt == nit000 .OR. lk_vvl ) THEN ! reciprocal of e3 at F-point (masked averaging of e3t over ocean points) |
---|
[5029] | 647 | |
---|
| 648 | IF( ln_dynvor_een_old ) THEN ! original formulation |
---|
| 649 | DO jk = 1, jpk |
---|
| 650 | DO jj = 1, jpjm1 |
---|
| 651 | DO ji = 1, jpim1 |
---|
| 652 | ze3 = ( fse3t(ji,jj+1,jk)*tmask(ji,jj+1,jk) + fse3t(ji+1,jj+1,jk)*tmask(ji+1,jj+1,jk) & |
---|
| 653 | & + fse3t(ji,jj ,jk)*tmask(ji,jj ,jk) + fse3t(ji+1,jj ,jk)*tmask(ji+1,jj ,jk) ) |
---|
| 654 | IF( ze3 /= 0._wp ) ze3f(ji,jj,jk) = 4.0_wp / ze3 |
---|
| 655 | END DO |
---|
[108] | 656 | END DO |
---|
| 657 | END DO |
---|
[5029] | 658 | ELSE ! new formulation from NEMO 3.6 |
---|
| 659 | DO jk = 1, jpk |
---|
| 660 | DO jj = 1, jpjm1 |
---|
| 661 | DO ji = 1, jpim1 |
---|
| 662 | ze3 = ( fse3t(ji,jj+1,jk)*tmask(ji,jj+1,jk) + fse3t(ji+1,jj+1,jk)*tmask(ji+1,jj+1,jk) & |
---|
| 663 | & + fse3t(ji,jj ,jk)*tmask(ji,jj ,jk) + fse3t(ji+1,jj ,jk)*tmask(ji+1,jj ,jk) ) |
---|
| 664 | zmsk = ( tmask(ji,jj+1,jk) + tmask(ji+1,jj+1,jk) & |
---|
| 665 | & + tmask(ji,jj ,jk) + tmask(ji+1,jj ,jk) ) |
---|
| 666 | IF( ze3 /= 0._wp ) ze3f(ji,jj,jk) = zmsk / ze3 |
---|
| 667 | END DO |
---|
| 668 | END DO |
---|
| 669 | END DO |
---|
| 670 | ENDIF |
---|
| 671 | |
---|
[108] | 672 | CALL lbc_lnk( ze3f, 'F', 1. ) |
---|
| 673 | ENDIF |
---|
| 674 | |
---|
[2715] | 675 | zfac12 = 1._wp / 12._wp ! Local constant initialization |
---|
[216] | 676 | |
---|
[108] | 677 | |
---|
[455] | 678 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz, ztnw, ztne, ztsw, ztse ) |
---|
[108] | 679 | ! ! =============== |
---|
| 680 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 681 | ! ! =============== |
---|
| 682 | |
---|
| 683 | ! Potential vorticity and horizontal fluxes |
---|
| 684 | ! ----------------------------------------- |
---|
[643] | 685 | SELECT CASE( kvor ) ! vorticity considered |
---|
[1438] | 686 | CASE ( 1 ) ! planetary vorticity (Coriolis) |
---|
| 687 | zwz(:,:) = ff(:,:) * ze3f(:,:,jk) |
---|
| 688 | CASE ( 2 ) ! relative vorticity |
---|
| 689 | zwz(:,:) = rotn(:,:,jk) * ze3f(:,:,jk) |
---|
[643] | 690 | CASE ( 3 ) ! metric term |
---|
| 691 | DO jj = 1, jpjm1 |
---|
| 692 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 693 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 694 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 695 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) * ze3f(ji,jj,jk) |
---|
| 696 | END DO |
---|
| 697 | END DO |
---|
[1516] | 698 | CALL lbc_lnk( zwz, 'F', 1. ) |
---|
| 699 | CASE ( 4 ) ! total (relative + planetary vorticity) |
---|
[1438] | 700 | zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) * ze3f(:,:,jk) |
---|
[643] | 701 | CASE ( 5 ) ! total (coriolis + metric) |
---|
| 702 | DO jj = 1, jpjm1 |
---|
| 703 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 704 | zwz(ji,jj) = ( ff (ji,jj) & |
---|
| 705 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 706 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
[1438] | 707 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
---|
[643] | 708 | & ) * ze3f(ji,jj,jk) |
---|
| 709 | END DO |
---|
| 710 | END DO |
---|
[1516] | 711 | CALL lbc_lnk( zwz, 'F', 1. ) |
---|
[455] | 712 | END SELECT |
---|
| 713 | |
---|
[108] | 714 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
---|
| 715 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
---|
| 716 | |
---|
| 717 | ! Compute and add the vorticity term trend |
---|
| 718 | ! ---------------------------------------- |
---|
[1438] | 719 | jj = 2 |
---|
| 720 | ztne(1,:) = 0 ; ztnw(1,:) = 0 ; ztse(1,:) = 0 ; ztsw(1,:) = 0 |
---|
[108] | 721 | DO ji = 2, jpi |
---|
| 722 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
| 723 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
| 724 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
| 725 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
| 726 | END DO |
---|
| 727 | DO jj = 3, jpj |
---|
[1694] | 728 | DO ji = fs_2, jpi ! vector opt. ok because we start at jj = 3 |
---|
[108] | 729 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
| 730 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
| 731 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
| 732 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
| 733 | END DO |
---|
| 734 | END DO |
---|
| 735 | DO jj = 2, jpjm1 |
---|
| 736 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 737 | zua = + zfac12 / e1u(ji,jj) * ( ztne(ji,jj ) * zwy(ji ,jj ) + ztnw(ji+1,jj) * zwy(ji+1,jj ) & |
---|
| 738 | & + ztse(ji,jj ) * zwy(ji ,jj-1) + ztsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
---|
| 739 | zva = - zfac12 / e2v(ji,jj) * ( ztsw(ji,jj+1) * zwx(ji-1,jj+1) + ztse(ji,jj+1) * zwx(ji ,jj+1) & |
---|
| 740 | & + ztnw(ji,jj ) * zwx(ji-1,jj ) + ztne(ji,jj ) * zwx(ji ,jj ) ) |
---|
[455] | 741 | pua(ji,jj,jk) = pua(ji,jj,jk) + zua |
---|
| 742 | pva(ji,jj,jk) = pva(ji,jj,jk) + zva |
---|
[108] | 743 | END DO |
---|
| 744 | END DO |
---|
| 745 | ! ! =============== |
---|
| 746 | END DO ! End of slab |
---|
| 747 | ! ! =============== |
---|
[3294] | 748 | CALL wrk_dealloc( jpi, jpj, zwx , zwy , zwz ) |
---|
| 749 | CALL wrk_dealloc( jpi, jpj, ztnw, ztne, ztsw, ztse ) |
---|
| 750 | #if defined key_vvl |
---|
| 751 | CALL wrk_dealloc( jpi, jpj, jpk, ze3f ) |
---|
| 752 | #endif |
---|
[2715] | 753 | ! |
---|
[3294] | 754 | IF( nn_timing == 1 ) CALL timing_stop('vor_een') |
---|
| 755 | ! |
---|
[11738] | 756 | IF (lhook) CALL dr_hook(RoutineName,zhook_out,zhook_handle) |
---|
[455] | 757 | END SUBROUTINE vor_een |
---|
[216] | 758 | |
---|
| 759 | |
---|
[2528] | 760 | SUBROUTINE dyn_vor_init |
---|
[3] | 761 | !!--------------------------------------------------------------------- |
---|
[2528] | 762 | !! *** ROUTINE dyn_vor_init *** |
---|
[3] | 763 | !! |
---|
| 764 | !! ** Purpose : Control the consistency between cpp options for |
---|
[1438] | 765 | !! tracer advection schemes |
---|
[3] | 766 | !!---------------------------------------------------------------------- |
---|
[2715] | 767 | INTEGER :: ioptio ! local integer |
---|
[3294] | 768 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
[4147] | 769 | INTEGER :: ios ! Local integer output status for namelist read |
---|
[2715] | 770 | !! |
---|
[5029] | 771 | NAMELIST/namdyn_vor/ ln_dynvor_ens, ln_dynvor_ene, ln_dynvor_mix, ln_dynvor_een, ln_dynvor_een_old |
---|
[11738] | 772 | INTEGER(KIND=jpim), PARAMETER :: zhook_in = 0 |
---|
| 773 | INTEGER(KIND=jpim), PARAMETER :: zhook_out = 1 |
---|
| 774 | REAL(KIND=jprb) :: zhook_handle |
---|
| 775 | |
---|
| 776 | CHARACTER(LEN=*), PARAMETER :: RoutineName='DYN_VOR_INIT' |
---|
| 777 | |
---|
| 778 | IF (lhook) CALL dr_hook(RoutineName,zhook_in,zhook_handle) |
---|
| 779 | |
---|
[3] | 780 | !!---------------------------------------------------------------------- |
---|
| 781 | |
---|
[4147] | 782 | REWIND( numnam_ref ) ! Namelist namdyn_vor in reference namelist : Vorticity scheme options |
---|
| 783 | READ ( numnam_ref, namdyn_vor, IOSTAT = ios, ERR = 901) |
---|
| 784 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namdyn_vor in reference namelist', lwp ) |
---|
[3] | 785 | |
---|
[4147] | 786 | REWIND( numnam_cfg ) ! Namelist namdyn_vor in configuration namelist : Vorticity scheme options |
---|
| 787 | READ ( numnam_cfg, namdyn_vor, IOSTAT = ios, ERR = 902 ) |
---|
| 788 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namdyn_vor in configuration namelist', lwp ) |
---|
[4624] | 789 | IF(lwm) WRITE ( numond, namdyn_vor ) |
---|
[4147] | 790 | |
---|
[503] | 791 | IF(lwp) THEN ! Namelist print |
---|
[3] | 792 | WRITE(numout,*) |
---|
[2528] | 793 | WRITE(numout,*) 'dyn_vor_init : vorticity term : read namelist and control the consistency' |
---|
| 794 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
[4147] | 795 | WRITE(numout,*) ' Namelist namdyn_vor : choice of the vorticity term scheme' |
---|
[503] | 796 | WRITE(numout,*) ' energy conserving scheme ln_dynvor_ene = ', ln_dynvor_ene |
---|
| 797 | WRITE(numout,*) ' enstrophy conserving scheme ln_dynvor_ens = ', ln_dynvor_ens |
---|
| 798 | WRITE(numout,*) ' mixed enstrophy/energy conserving scheme ln_dynvor_mix = ', ln_dynvor_mix |
---|
| 799 | WRITE(numout,*) ' enstrophy and energy conserving scheme ln_dynvor_een = ', ln_dynvor_een |
---|
[5029] | 800 | WRITE(numout,*) ' enstrophy and energy conserving scheme (old) ln_dynvor_een_old= ', ln_dynvor_een_old |
---|
[52] | 801 | ENDIF |
---|
| 802 | |
---|
[3294] | 803 | ! If energy, enstrophy or mixed advection of momentum in vector form change the value for masks |
---|
| 804 | ! at angles with three ocean points and one land point |
---|
| 805 | IF( ln_vorlat .AND. ( ln_dynvor_ene .OR. ln_dynvor_ens .OR. ln_dynvor_mix ) ) THEN |
---|
| 806 | DO jk = 1, jpk |
---|
| 807 | DO jj = 2, jpjm1 |
---|
| 808 | DO ji = 2, jpim1 |
---|
| 809 | IF( tmask(ji,jj,jk)+tmask(ji+1,jj,jk)+tmask(ji,jj+1,jk)+tmask(ji+1,jj+1,jk) == 3._wp ) & |
---|
| 810 | fmask(ji,jj,jk) = 1._wp |
---|
| 811 | END DO |
---|
| 812 | END DO |
---|
| 813 | END DO |
---|
| 814 | ! |
---|
| 815 | CALL lbc_lnk( fmask, 'F', 1._wp ) ! Lateral boundary conditions on fmask |
---|
| 816 | ! |
---|
| 817 | ENDIF |
---|
| 818 | |
---|
[503] | 819 | ioptio = 0 ! Control of vorticity scheme options |
---|
| 820 | IF( ln_dynvor_ene ) ioptio = ioptio + 1 |
---|
| 821 | IF( ln_dynvor_ens ) ioptio = ioptio + 1 |
---|
| 822 | IF( ln_dynvor_mix ) ioptio = ioptio + 1 |
---|
| 823 | IF( ln_dynvor_een ) ioptio = ioptio + 1 |
---|
[5029] | 824 | IF( ln_dynvor_een_old ) ioptio = ioptio + 1 |
---|
[503] | 825 | IF( lk_esopa ) ioptio = 1 |
---|
| 826 | |
---|
| 827 | IF( ioptio /= 1 ) CALL ctl_stop( ' use ONE and ONLY one vorticity scheme' ) |
---|
| 828 | |
---|
[643] | 829 | ! ! Set nvor (type of scheme for vorticity) |
---|
[503] | 830 | IF( ln_dynvor_ene ) nvor = 0 |
---|
| 831 | IF( ln_dynvor_ens ) nvor = 1 |
---|
| 832 | IF( ln_dynvor_mix ) nvor = 2 |
---|
[5029] | 833 | IF( ln_dynvor_een .or. ln_dynvor_een_old ) nvor = 3 |
---|
[503] | 834 | IF( lk_esopa ) nvor = -1 |
---|
| 835 | |
---|
[643] | 836 | ! ! Set ncor, nrvm, ntot (type of vorticity) |
---|
| 837 | IF(lwp) WRITE(numout,*) |
---|
| 838 | ncor = 1 |
---|
| 839 | IF( ln_dynadv_vec ) THEN |
---|
| 840 | IF(lwp) WRITE(numout,*) ' Vector form advection : vorticity = Coriolis + relative vorticity' |
---|
| 841 | nrvm = 2 |
---|
| 842 | ntot = 4 |
---|
| 843 | ELSE |
---|
| 844 | IF(lwp) WRITE(numout,*) ' Flux form advection : vorticity = Coriolis + metric term' |
---|
| 845 | nrvm = 3 |
---|
| 846 | ntot = 5 |
---|
| 847 | ENDIF |
---|
| 848 | |
---|
[503] | 849 | IF(lwp) THEN ! Print the choice |
---|
| 850 | WRITE(numout,*) |
---|
[643] | 851 | IF( nvor == 0 ) WRITE(numout,*) ' vorticity scheme : energy conserving scheme' |
---|
| 852 | IF( nvor == 1 ) WRITE(numout,*) ' vorticity scheme : enstrophy conserving scheme' |
---|
| 853 | IF( nvor == 2 ) WRITE(numout,*) ' vorticity scheme : mixed enstrophy/energy conserving scheme' |
---|
| 854 | IF( nvor == 3 ) WRITE(numout,*) ' vorticity scheme : energy and enstrophy conserving scheme' |
---|
[503] | 855 | IF( nvor == -1 ) WRITE(numout,*) ' esopa test: use all lateral physics options' |
---|
[3] | 856 | ENDIF |
---|
[503] | 857 | ! |
---|
[11738] | 858 | IF (lhook) CALL dr_hook(RoutineName,zhook_out,zhook_handle) |
---|
[2528] | 859 | END SUBROUTINE dyn_vor_init |
---|
[3] | 860 | |
---|
[503] | 861 | !!============================================================================== |
---|
[3] | 862 | END MODULE dynvor |
---|