[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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[503] | 17 | !!---------------------------------------------------------------------- |
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[3] | 18 | |
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| 19 | !!---------------------------------------------------------------------- |
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[2528] | 20 | !! dyn_vor : Update the momentum trend with the vorticity trend |
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| 21 | !! vor_ens : enstrophy conserving scheme (ln_dynvor_ens=T) |
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| 22 | !! vor_ene : energy conserving scheme (ln_dynvor_ene=T) |
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| 23 | !! vor_mix : mixed enstrophy/energy conserving (ln_dynvor_mix=T) |
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| 24 | !! vor_een : energy and enstrophy conserving (ln_dynvor_een=T) |
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| 25 | !! dyn_vor_init : set and control of the different vorticity option |
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[3] | 26 | !!---------------------------------------------------------------------- |
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[503] | 27 | USE oce ! ocean dynamics and tracers |
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| 28 | USE dom_oce ! ocean space and time domain |
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[3097] | 29 | USE dommsk ! ocean mask |
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[643] | 30 | USE dynadv ! momentum advection (use ln_dynadv_vec value) |
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[503] | 31 | USE trdmod ! ocean dynamics trends |
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| 32 | USE trdmod_oce ! ocean variables trends |
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| 33 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 34 | USE prtctl ! Print control |
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| 35 | USE in_out_manager ! I/O manager |
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[2715] | 36 | USE lib_mpp |
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[3] | 37 | |
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| 38 | IMPLICIT NONE |
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| 39 | PRIVATE |
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| 40 | |
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[2528] | 41 | PUBLIC dyn_vor ! routine called by step.F90 |
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| 42 | PUBLIC dyn_vor_init ! routine called by opa.F90 |
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[3] | 43 | |
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[1601] | 44 | ! !!* Namelist namdyn_vor: vorticity term |
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[32] | 45 | LOGICAL, PUBLIC :: ln_dynvor_ene = .FALSE. !: energy conserving scheme |
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| 46 | LOGICAL, PUBLIC :: ln_dynvor_ens = .TRUE. !: enstrophy conserving scheme |
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| 47 | LOGICAL, PUBLIC :: ln_dynvor_mix = .FALSE. !: mixed scheme |
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[503] | 48 | LOGICAL, PUBLIC :: ln_dynvor_een = .FALSE. !: energy and enstrophy conserving scheme |
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[3] | 49 | |
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[503] | 50 | INTEGER :: nvor = 0 ! type of vorticity trend used |
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[643] | 51 | INTEGER :: ncor = 1 ! coriolis |
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| 52 | INTEGER :: nrvm = 2 ! =2 relative vorticity ; =3 metric term |
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| 53 | INTEGER :: ntot = 4 ! =4 total vorticity (relative + planetary) ; =5 coriolis + metric term |
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[455] | 54 | |
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[3] | 55 | !! * Substitutions |
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| 56 | # include "domzgr_substitute.h90" |
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| 57 | # include "vectopt_loop_substitute.h90" |
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| 58 | !!---------------------------------------------------------------------- |
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[2528] | 59 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[1152] | 60 | !! $Id$ |
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[2715] | 61 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 62 | !!---------------------------------------------------------------------- |
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| 63 | CONTAINS |
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| 64 | |
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[455] | 65 | SUBROUTINE dyn_vor( kt ) |
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[3] | 66 | !!---------------------------------------------------------------------- |
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| 67 | !! |
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[455] | 68 | !! ** Purpose : compute the lateral ocean tracer physics. |
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| 69 | !! |
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| 70 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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[503] | 71 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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[455] | 72 | !! and planetary vorticity trends) ('key_trddyn') |
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[503] | 73 | !!---------------------------------------------------------------------- |
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[2977] | 74 | USE oce, ONLY: tsa ! tsa used as 2 3D workspace |
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| 75 | !! |
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| 76 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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[2715] | 77 | ! |
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[2977] | 78 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrdu, ztrdv |
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[455] | 79 | !!---------------------------------------------------------------------- |
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[2715] | 80 | ! |
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[2977] | 81 | IF( l_trddyn ) THEN |
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| 82 | ztrdu => tsa(:,:,:,1) |
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| 83 | ztrdv => tsa(:,:,:,2) |
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| 84 | END IF |
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| 85 | ! |
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[643] | 86 | ! ! vorticity term |
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[455] | 87 | SELECT CASE ( nvor ) ! compute the vorticity trend and add it to the general trend |
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[643] | 88 | ! |
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[455] | 89 | CASE ( -1 ) ! esopa: test all possibility with control print |
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[643] | 90 | CALL vor_ene( kt, ntot, ua, va ) |
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[503] | 91 | CALL prt_ctl( tab3d_1=ua, clinfo1=' vor0 - Ua: ', mask1=umask, & |
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| 92 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[643] | 93 | CALL vor_ens( kt, ntot, ua, va ) |
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[503] | 94 | CALL prt_ctl( tab3d_1=ua, clinfo1=' vor1 - Ua: ', mask1=umask, & |
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| 95 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[455] | 96 | CALL vor_mix( kt ) |
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[503] | 97 | CALL prt_ctl( tab3d_1=ua, clinfo1=' vor2 - Ua: ', mask1=umask, & |
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| 98 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[643] | 99 | CALL vor_een( kt, ntot, ua, va ) |
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[503] | 100 | CALL prt_ctl( tab3d_1=ua, clinfo1=' vor3 - Ua: ', mask1=umask, & |
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| 101 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[643] | 102 | ! |
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[455] | 103 | CASE ( 0 ) ! energy conserving scheme |
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| 104 | IF( l_trddyn ) THEN |
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| 105 | ztrdu(:,:,:) = ua(:,:,:) |
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| 106 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 107 | CALL vor_ene( kt, nrvm, ua, va ) ! relative vorticity or metric trend |
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[455] | 108 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 109 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 110 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_rvo, 'DYN', kt ) |
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[455] | 111 | ztrdu(:,:,:) = ua(:,:,:) |
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| 112 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 113 | CALL vor_ene( kt, ncor, ua, va ) ! planetary vorticity trend |
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[455] | 114 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 115 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[1104] | 116 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_pvo, 'DYN', kt ) |
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[503] | 117 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_dat, 'DYN', kt ) |
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[455] | 118 | ELSE |
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[643] | 119 | CALL vor_ene( kt, ntot, ua, va ) ! total vorticity |
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[455] | 120 | ENDIF |
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[643] | 121 | ! |
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[455] | 122 | CASE ( 1 ) ! enstrophy conserving scheme |
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| 123 | IF( l_trddyn ) THEN |
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| 124 | ztrdu(:,:,:) = ua(:,:,:) |
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| 125 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 126 | CALL vor_ens( kt, nrvm, ua, va ) ! relative vorticity or metric trend |
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[455] | 127 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 128 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 129 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_rvo, 'DYN', kt ) |
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[455] | 130 | ztrdu(:,:,:) = ua(:,:,:) |
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| 131 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 132 | CALL vor_ens( kt, ncor, ua, va ) ! planetary vorticity trend |
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[455] | 133 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 134 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[1104] | 135 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_pvo, 'DYN', kt ) |
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[503] | 136 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_dat, 'DYN', kt ) |
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[455] | 137 | ELSE |
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[643] | 138 | CALL vor_ens( kt, ntot, ua, va ) ! total vorticity |
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[455] | 139 | ENDIF |
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[643] | 140 | ! |
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[455] | 141 | CASE ( 2 ) ! mixed ene-ens scheme |
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| 142 | IF( l_trddyn ) THEN |
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| 143 | ztrdu(:,:,:) = ua(:,:,:) |
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| 144 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 145 | CALL vor_ens( kt, nrvm, ua, va ) ! relative vorticity or metric trend (ens) |
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[455] | 146 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 147 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 148 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_rvo, 'DYN', kt ) |
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[455] | 149 | ztrdu(:,:,:) = ua(:,:,:) |
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| 150 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 151 | CALL vor_ene( kt, ncor, ua, va ) ! planetary vorticity trend (ene) |
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[455] | 152 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 153 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[1104] | 154 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_pvo, 'DYN', kt ) |
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[503] | 155 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_dat, 'DYN', kt ) |
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[455] | 156 | ELSE |
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| 157 | CALL vor_mix( kt ) ! total vorticity (mix=ens-ene) |
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| 158 | ENDIF |
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[643] | 159 | ! |
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[455] | 160 | CASE ( 3 ) ! energy and enstrophy conserving scheme |
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| 161 | IF( l_trddyn ) THEN |
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| 162 | ztrdu(:,:,:) = ua(:,:,:) |
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| 163 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 164 | CALL vor_een( kt, nrvm, ua, va ) ! relative vorticity or metric trend |
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[455] | 165 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 166 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 167 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_rvo, 'DYN', kt ) |
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[455] | 168 | ztrdu(:,:,:) = ua(:,:,:) |
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| 169 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 170 | CALL vor_een( kt, ncor, ua, va ) ! planetary vorticity trend |
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[455] | 171 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 172 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[1104] | 173 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_pvo, 'DYN', kt ) |
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[503] | 174 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_dat, 'DYN', kt ) |
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[455] | 175 | ELSE |
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[643] | 176 | CALL vor_een( kt, ntot, ua, va ) ! total vorticity |
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[455] | 177 | ENDIF |
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[643] | 178 | ! |
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[455] | 179 | END SELECT |
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[2715] | 180 | ! |
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[455] | 181 | ! ! print sum trends (used for debugging) |
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[2715] | 182 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' vor - Ua: ', mask1=umask, & |
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[455] | 183 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[1438] | 184 | ! |
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[455] | 185 | END SUBROUTINE dyn_vor |
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| 186 | |
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| 187 | |
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[643] | 188 | SUBROUTINE vor_ene( kt, kvor, pua, pva ) |
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[455] | 189 | !!---------------------------------------------------------------------- |
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| 190 | !! *** ROUTINE vor_ene *** |
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| 191 | !! |
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[3] | 192 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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| 193 | !! the general trend of the momentum equation. |
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| 194 | !! |
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| 195 | !! ** Method : Trend evaluated using now fields (centered in time) |
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| 196 | !! and the Sadourny (1975) flux form formulation : conserves the |
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| 197 | !! horizontal kinetic energy. |
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| 198 | !! The trend of the vorticity term is given by: |
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[455] | 199 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivatives: |
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[3] | 200 | !! voru = 1/e1u mj-1[ (rotn+f)/e3f mi(e1v*e3v vn) ] |
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| 201 | !! vorv = 1/e2v mi-1[ (rotn+f)/e3f mj(e2u*e3u un) ] |
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| 202 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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| 203 | !! voru = 1/e1u mj-1[ (rotn+f) mi(e1v vn) ] |
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| 204 | !! vorv = 1/e2v mi-1[ (rotn+f) mj(e2u un) ] |
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| 205 | !! Add this trend to the general momentum trend (ua,va): |
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| 206 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
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| 207 | !! |
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| 208 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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[503] | 209 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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[3] | 210 | !! and planetary vorticity trends) ('key_trddyn') |
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| 211 | !! |
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[503] | 212 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
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[3] | 213 | !!---------------------------------------------------------------------- |
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[2715] | 214 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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| 215 | USE wrk_nemo, ONLY: zwx => wrk_2d_1 , zwy => wrk_2d_2 , zwz => wrk_2d_3 ! 2D workspace |
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| 216 | ! |
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[643] | 217 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 218 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
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[1438] | 219 | ! ! =nrvm (relative vorticity or metric) |
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[643] | 220 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua ! total u-trend |
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| 221 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva ! total v-trend |
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[2715] | 222 | ! |
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| 223 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 224 | REAL(wp) :: zx1, zy1, zfact2, zx2, zy2 ! local scalars |
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[3] | 225 | !!---------------------------------------------------------------------- |
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| 226 | |
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[2715] | 227 | IF( wrk_in_use(2, 1,2,3) ) THEN |
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| 228 | CALL ctl_stop('dyn:vor_ene: requested workspace arrays unavailable') ; RETURN |
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| 229 | ENDIF |
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| 230 | |
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[52] | 231 | IF( kt == nit000 ) THEN |
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| 232 | IF(lwp) WRITE(numout,*) |
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[455] | 233 | IF(lwp) WRITE(numout,*) 'dyn:vor_ene : vorticity term: energy conserving scheme' |
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| 234 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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[52] | 235 | ENDIF |
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[3] | 236 | |
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[1438] | 237 | zfact2 = 0.5 * 0.5 ! Local constant initialization |
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[216] | 238 | |
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[455] | 239 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz ) |
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[3] | 240 | ! ! =============== |
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| 241 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 242 | ! ! =============== |
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[1438] | 243 | ! |
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[3] | 244 | ! Potential vorticity and horizontal fluxes |
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| 245 | ! ----------------------------------------- |
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[643] | 246 | SELECT CASE( kvor ) ! vorticity considered |
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| 247 | CASE ( 1 ) ; zwz(:,:) = ff(:,:) ! planetary vorticity (Coriolis) |
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| 248 | CASE ( 2 ) ; zwz(:,:) = rotn(:,:,jk) ! relative vorticity |
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| 249 | CASE ( 3 ) ! metric term |
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| 250 | DO jj = 1, jpjm1 |
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| 251 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 252 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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| 253 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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| 254 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
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| 255 | END DO |
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| 256 | END DO |
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| 257 | CASE ( 4 ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) ! total (relative + planetary vorticity) |
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| 258 | CASE ( 5 ) ! total (coriolis + metric) |
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| 259 | DO jj = 1, jpjm1 |
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| 260 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 261 | zwz(ji,jj) = ( ff (ji,jj) & |
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| 262 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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| 263 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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| 264 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
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| 265 | & ) |
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| 266 | END DO |
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| 267 | END DO |
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[455] | 268 | END SELECT |
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| 269 | |
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| 270 | IF( ln_sco ) THEN |
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| 271 | zwz(:,:) = zwz(:,:) / fse3f(:,:,jk) |
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[3] | 272 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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| 273 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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| 274 | ELSE |
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| 275 | zwx(:,:) = e2u(:,:) * un(:,:,jk) |
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| 276 | zwy(:,:) = e1v(:,:) * vn(:,:,jk) |
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| 277 | ENDIF |
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| 278 | |
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| 279 | ! Compute and add the vorticity term trend |
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| 280 | ! ---------------------------------------- |
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| 281 | DO jj = 2, jpjm1 |
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| 282 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 283 | zy1 = zwy(ji,jj-1) + zwy(ji+1,jj-1) |
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| 284 | zy2 = zwy(ji,jj ) + zwy(ji+1,jj ) |
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| 285 | zx1 = zwx(ji-1,jj) + zwx(ji-1,jj+1) |
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| 286 | zx2 = zwx(ji ,jj) + zwx(ji ,jj+1) |
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[455] | 287 | 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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| 288 | 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] | 289 | END DO |
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| 290 | END DO |
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| 291 | ! ! =============== |
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| 292 | END DO ! End of slab |
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| 293 | ! ! =============== |
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[2715] | 294 | IF( wrk_not_released(2, 1,2,3) ) CALL ctl_stop('dyn:vor_ene: failed to release workspace arrays') |
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| 295 | ! |
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[455] | 296 | END SUBROUTINE vor_ene |
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[216] | 297 | |
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| 298 | |
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[455] | 299 | SUBROUTINE vor_mix( kt ) |
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[3] | 300 | !!---------------------------------------------------------------------- |
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[455] | 301 | !! *** ROUTINE vor_mix *** |
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[3] | 302 | !! |
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| 303 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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| 304 | !! the general trend of the momentum equation. |
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| 305 | !! |
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| 306 | !! ** Method : Trend evaluated using now fields (centered in time) |
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| 307 | !! Mixte formulation : conserves the potential enstrophy of a hori- |
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| 308 | !! zontally non-divergent flow for (rotzu x uh), the relative vor- |
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| 309 | !! ticity term and the horizontal kinetic energy for (f x uh), the |
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| 310 | !! coriolis term. the now trend of the vorticity term is given by: |
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[455] | 311 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivatives: |
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[3] | 312 | !! voru = 1/e1u mj-1(rotn/e3f) mj-1[ mi(e1v*e3v vn) ] |
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| 313 | !! +1/e1u mj-1[ f/e3f mi(e1v*e3v vn) ] |
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| 314 | !! vorv = 1/e2v mi-1(rotn/e3f) mi-1[ mj(e2u*e3u un) ] |
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| 315 | !! +1/e2v mi-1[ f/e3f mj(e2u*e3u un) ] |
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| 316 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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| 317 | !! voru = 1/e1u mj-1(rotn) mj-1[ mi(e1v vn) ] |
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| 318 | !! +1/e1u mj-1[ f mi(e1v vn) ] |
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| 319 | !! vorv = 1/e2v mi-1(rotn) mi-1[ mj(e2u un) ] |
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| 320 | !! +1/e2v mi-1[ f mj(e2u un) ] |
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| 321 | !! Add this now trend to the general momentum trend (ua,va): |
---|
| 322 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
---|
| 323 | !! |
---|
| 324 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
---|
[503] | 325 | !! - Save the trends in (ztrdu,ztrdv) in 2 parts (relative |
---|
[3] | 326 | !! and planetary vorticity trends) ('key_trddyn') |
---|
| 327 | !! |
---|
[503] | 328 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
---|
[3] | 329 | !!---------------------------------------------------------------------- |
---|
[2715] | 330 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
---|
| 331 | USE wrk_nemo, ONLY: zwx => wrk_2d_4 , zwy => wrk_2d_5 , zwz => wrk_2d_6 , zww => wrk_2d_7 ! 2D workspace |
---|
| 332 | ! |
---|
[503] | 333 | INTEGER, INTENT(in) :: kt ! ocean timestep index |
---|
[2715] | 334 | ! |
---|
[1438] | 335 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
[2715] | 336 | REAL(wp) :: zfact1, zua, zcua, zx1, zy1 ! local scalars |
---|
| 337 | REAL(wp) :: zfact2, zva, zcva, zx2, zy2 ! - - |
---|
[3] | 338 | !!---------------------------------------------------------------------- |
---|
| 339 | |
---|
[2715] | 340 | IF( wrk_in_use(2, 4,5,6,7) ) THEN |
---|
| 341 | CALL ctl_stop('dyn:vor_mix: requested workspace arrays unavailable') ; RETURN |
---|
| 342 | ENDIF |
---|
| 343 | |
---|
[52] | 344 | IF( kt == nit000 ) THEN |
---|
| 345 | IF(lwp) WRITE(numout,*) |
---|
[455] | 346 | IF(lwp) WRITE(numout,*) 'dyn:vor_mix : vorticity term: mixed energy/enstrophy conserving scheme' |
---|
| 347 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
[52] | 348 | ENDIF |
---|
[3] | 349 | |
---|
[1438] | 350 | zfact1 = 0.5 * 0.25 ! Local constant initialization |
---|
[3] | 351 | zfact2 = 0.5 * 0.5 |
---|
| 352 | |
---|
[455] | 353 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz, zww ) |
---|
[3] | 354 | ! ! =============== |
---|
| 355 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 356 | ! ! =============== |
---|
[1438] | 357 | ! |
---|
[3] | 358 | ! Relative and planetary potential vorticity and horizontal fluxes |
---|
| 359 | ! ---------------------------------------------------------------- |
---|
[455] | 360 | IF( ln_sco ) THEN |
---|
[643] | 361 | IF( ln_dynadv_vec ) THEN |
---|
| 362 | zww(:,:) = rotn(:,:,jk) / fse3f(:,:,jk) |
---|
| 363 | ELSE |
---|
| 364 | DO jj = 1, jpjm1 |
---|
| 365 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 366 | zww(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 367 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 368 | & * 0.5 / ( e1f(ji,jj) * e2f (ji,jj) * fse3f(ji,jj,jk) ) |
---|
| 369 | END DO |
---|
| 370 | END DO |
---|
| 371 | ENDIF |
---|
[3] | 372 | zwz(:,:) = ff (:,:) / fse3f(:,:,jk) |
---|
| 373 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
---|
| 374 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
---|
| 375 | ELSE |
---|
[643] | 376 | IF( ln_dynadv_vec ) THEN |
---|
| 377 | zww(:,:) = rotn(:,:,jk) |
---|
| 378 | ELSE |
---|
| 379 | DO jj = 1, jpjm1 |
---|
| 380 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 381 | zww(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 382 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 383 | & * 0.5 / ( e1f(ji,jj) * e2f (ji,jj) ) |
---|
| 384 | END DO |
---|
| 385 | END DO |
---|
| 386 | ENDIF |
---|
| 387 | zwz(:,:) = ff (:,:) |
---|
[3] | 388 | zwx(:,:) = e2u(:,:) * un(:,:,jk) |
---|
| 389 | zwy(:,:) = e1v(:,:) * vn(:,:,jk) |
---|
| 390 | ENDIF |
---|
| 391 | |
---|
| 392 | ! Compute and add the vorticity term trend |
---|
| 393 | ! ---------------------------------------- |
---|
| 394 | DO jj = 2, jpjm1 |
---|
| 395 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 396 | zy1 = ( zwy(ji,jj-1) + zwy(ji+1,jj-1) ) / e1u(ji,jj) |
---|
| 397 | zy2 = ( zwy(ji,jj ) + zwy(ji+1,jj ) ) / e1u(ji,jj) |
---|
| 398 | zx1 = ( zwx(ji-1,jj) + zwx(ji-1,jj+1) ) / e2v(ji,jj) |
---|
| 399 | zx2 = ( zwx(ji ,jj) + zwx(ji ,jj+1) ) / e2v(ji,jj) |
---|
| 400 | ! enstrophy conserving formulation for relative vorticity term |
---|
| 401 | zua = zfact1 * ( zww(ji ,jj-1) + zww(ji,jj) ) * ( zy1 + zy2 ) |
---|
| 402 | zva =-zfact1 * ( zww(ji-1,jj ) + zww(ji,jj) ) * ( zx1 + zx2 ) |
---|
| 403 | ! energy conserving formulation for planetary vorticity term |
---|
| 404 | zcua = zfact2 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
---|
| 405 | zcva =-zfact2 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
---|
[503] | 406 | ! mixed vorticity trend added to the momentum trends |
---|
[3] | 407 | ua(ji,jj,jk) = ua(ji,jj,jk) + zcua + zua |
---|
| 408 | va(ji,jj,jk) = va(ji,jj,jk) + zcva + zva |
---|
| 409 | END DO |
---|
| 410 | END DO |
---|
| 411 | ! ! =============== |
---|
| 412 | END DO ! End of slab |
---|
| 413 | ! ! =============== |
---|
[2715] | 414 | IF( wrk_not_released(2, 4,5,6,7) ) CALL ctl_stop('dyn:vor_mix: failed to release workspace arrays') |
---|
| 415 | ! |
---|
[455] | 416 | END SUBROUTINE vor_mix |
---|
[216] | 417 | |
---|
| 418 | |
---|
[643] | 419 | SUBROUTINE vor_ens( kt, kvor, pua, pva ) |
---|
[3] | 420 | !!---------------------------------------------------------------------- |
---|
[455] | 421 | !! *** ROUTINE vor_ens *** |
---|
[3] | 422 | !! |
---|
| 423 | !! ** Purpose : Compute the now total vorticity trend and add it to |
---|
| 424 | !! the general trend of the momentum equation. |
---|
| 425 | !! |
---|
| 426 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
| 427 | !! and the Sadourny (1975) flux FORM formulation : conserves the |
---|
| 428 | !! potential enstrophy of a horizontally non-divergent flow. the |
---|
| 429 | !! trend of the vorticity term is given by: |
---|
[455] | 430 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivative: |
---|
[3] | 431 | !! voru = 1/e1u mj-1[ (rotn+f)/e3f ] mj-1[ mi(e1v*e3v vn) ] |
---|
| 432 | !! vorv = 1/e2v mi-1[ (rotn+f)/e3f ] mi-1[ mj(e2u*e3u un) ] |
---|
| 433 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
---|
| 434 | !! voru = 1/e1u mj-1[ rotn+f ] mj-1[ mi(e1v vn) ] |
---|
| 435 | !! vorv = 1/e2v mi-1[ rotn+f ] mi-1[ mj(e2u un) ] |
---|
| 436 | !! Add this trend to the general momentum trend (ua,va): |
---|
| 437 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
---|
| 438 | !! |
---|
| 439 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
---|
[503] | 440 | !! - Save the trends in (ztrdu,ztrdv) in 2 parts (relative |
---|
[3] | 441 | !! and planetary vorticity trends) ('key_trddyn') |
---|
| 442 | !! |
---|
[503] | 443 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
---|
[3] | 444 | !!---------------------------------------------------------------------- |
---|
[2715] | 445 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
---|
| 446 | USE wrk_nemo, ONLY: zwx => wrk_2d_4, zwy => wrk_2d_5, zwz => wrk_2d_6 ! 2D workspace |
---|
| 447 | ! |
---|
[643] | 448 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 449 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
---|
| 450 | ! ! =nrvm (relative vorticity or metric) |
---|
| 451 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua ! total u-trend |
---|
| 452 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva ! total v-trend |
---|
[2715] | 453 | ! |
---|
[503] | 454 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 455 | REAL(wp) :: zfact1, zuav, zvau ! temporary scalars |
---|
[3] | 456 | !!---------------------------------------------------------------------- |
---|
| 457 | |
---|
[2715] | 458 | IF( wrk_in_use(2, 4,5,6) ) THEN |
---|
| 459 | CALL ctl_stop('dyn:vor_ens: requested workspace arrays unavailable') ; RETURN |
---|
| 460 | END IF |
---|
| 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 | |
---|
[1438] | 468 | zfact1 = 0.5 * 0.25 ! Local constant initialization |
---|
[3] | 469 | |
---|
[455] | 470 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz ) |
---|
[3] | 471 | ! ! =============== |
---|
| 472 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 473 | ! ! =============== |
---|
[1438] | 474 | ! |
---|
[3] | 475 | ! Potential vorticity and horizontal fluxes |
---|
| 476 | ! ----------------------------------------- |
---|
[643] | 477 | SELECT CASE( kvor ) ! vorticity considered |
---|
| 478 | CASE ( 1 ) ; zwz(:,:) = ff(:,:) ! planetary vorticity (Coriolis) |
---|
| 479 | CASE ( 2 ) ; zwz(:,:) = rotn(:,:,jk) ! relative vorticity |
---|
| 480 | CASE ( 3 ) ! metric term |
---|
| 481 | DO jj = 1, jpjm1 |
---|
| 482 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 483 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 484 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 485 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
| 486 | END DO |
---|
| 487 | END DO |
---|
| 488 | CASE ( 4 ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) ! total (relative + planetary vorticity) |
---|
| 489 | CASE ( 5 ) ! total (coriolis + metric) |
---|
| 490 | DO jj = 1, jpjm1 |
---|
| 491 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 492 | zwz(ji,jj) = ( ff (ji,jj) & |
---|
| 493 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 494 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
[1438] | 495 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
---|
[643] | 496 | & ) |
---|
| 497 | END DO |
---|
| 498 | END DO |
---|
[455] | 499 | END SELECT |
---|
[1438] | 500 | ! |
---|
[455] | 501 | IF( ln_sco ) THEN |
---|
[3] | 502 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
| 503 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
[455] | 504 | zwz(ji,jj) = zwz(ji,jj) / fse3f(ji,jj,jk) |
---|
| 505 | zwx(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) * un(ji,jj,jk) |
---|
| 506 | zwy(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) * vn(ji,jj,jk) |
---|
[3] | 507 | END DO |
---|
| 508 | END DO |
---|
| 509 | ELSE |
---|
| 510 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
| 511 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
[455] | 512 | zwx(ji,jj) = e2u(ji,jj) * un(ji,jj,jk) |
---|
| 513 | zwy(ji,jj) = e1v(ji,jj) * vn(ji,jj,jk) |
---|
[3] | 514 | END DO |
---|
| 515 | END DO |
---|
| 516 | ENDIF |
---|
[1438] | 517 | ! |
---|
[3] | 518 | ! Compute and add the vorticity term trend |
---|
| 519 | ! ---------------------------------------- |
---|
| 520 | DO jj = 2, jpjm1 |
---|
| 521 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[455] | 522 | zuav = zfact1 / e1u(ji,jj) * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
---|
[503] | 523 | & + zwy(ji ,jj ) + zwy(ji+1,jj ) ) |
---|
[455] | 524 | zvau =-zfact1 / e2v(ji,jj) * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
---|
[503] | 525 | & + zwx(ji ,jj ) + zwx(ji ,jj+1) ) |
---|
[455] | 526 | pua(ji,jj,jk) = pua(ji,jj,jk) + zuav * ( zwz(ji ,jj-1) + zwz(ji,jj) ) |
---|
| 527 | pva(ji,jj,jk) = pva(ji,jj,jk) + zvau * ( zwz(ji-1,jj ) + zwz(ji,jj) ) |
---|
[3] | 528 | END DO |
---|
| 529 | END DO |
---|
| 530 | ! ! =============== |
---|
| 531 | END DO ! End of slab |
---|
| 532 | ! ! =============== |
---|
[2715] | 533 | IF( wrk_not_released(2, 4,5,6) ) CALL ctl_stop('dyn:vor_ens: failed to release workspace arrays') |
---|
| 534 | ! |
---|
[455] | 535 | END SUBROUTINE vor_ens |
---|
[216] | 536 | |
---|
| 537 | |
---|
[643] | 538 | SUBROUTINE vor_een( kt, kvor, pua, pva ) |
---|
[108] | 539 | !!---------------------------------------------------------------------- |
---|
[455] | 540 | !! *** ROUTINE vor_een *** |
---|
[108] | 541 | !! |
---|
| 542 | !! ** Purpose : Compute the now total vorticity trend and add it to |
---|
| 543 | !! the general trend of the momentum equation. |
---|
| 544 | !! |
---|
| 545 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
[1438] | 546 | !! and the Arakawa and Lamb (1980) flux form formulation : conserves |
---|
[108] | 547 | !! both the horizontal kinetic energy and the potential enstrophy |
---|
[1438] | 548 | !! when horizontal divergence is zero (see the NEMO documentation) |
---|
| 549 | !! Add this trend to the general momentum trend (ua,va). |
---|
[108] | 550 | !! |
---|
| 551 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
---|
[503] | 552 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
---|
[108] | 553 | !! and planetary vorticity trends) ('key_trddyn') |
---|
| 554 | !! |
---|
[503] | 555 | !! References : Arakawa and Lamb 1980, Mon. Wea. Rev., 109, 18-36 |
---|
| 556 | !!---------------------------------------------------------------------- |
---|
[2715] | 557 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
---|
| 558 | USE wrk_nemo, ONLY: zwx => wrk_2d_1 , zwy => wrk_2d_2 , zwz => wrk_2d_3 ! 2D workspace |
---|
| 559 | USE wrk_nemo, ONLY: ztnw => wrk_2d_4 , ztne => wrk_2d_5 |
---|
| 560 | USE wrk_nemo, ONLY: ztsw => wrk_2d_6 , ztse => wrk_2d_7 |
---|
| 561 | #if defined key_vvl |
---|
| 562 | USE wrk_nemo, ONLY: ze3f => wrk_3d_1 ! 3D workspace (lk_vvl=T) |
---|
| 563 | #endif |
---|
| 564 | ! |
---|
[643] | 565 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 566 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
---|
[1438] | 567 | ! ! =nrvm (relative vorticity or metric) |
---|
[643] | 568 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua ! total u-trend |
---|
| 569 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva ! total v-trend |
---|
[218] | 570 | !! |
---|
[1438] | 571 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
[2715] | 572 | INTEGER :: ierr ! local integer |
---|
| 573 | REAL(wp) :: zfac12, zua, zva ! local scalars |
---|
| 574 | #if ! defined key_vvl |
---|
| 575 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:), SAVE :: ze3f ! lk_vvl=F, ze3f=1/e3f saved one for all |
---|
[1438] | 576 | #endif |
---|
[108] | 577 | !!---------------------------------------------------------------------- |
---|
| 578 | |
---|
[2715] | 579 | IF( wrk_in_use(2, 1,2,3,4,5,6,7) .OR. wrk_in_use(3, 1) ) THEN |
---|
| 580 | CALL ctl_stop('dyn:vor_een: requested workspace arrays unavailable') ; RETURN |
---|
| 581 | ENDIF |
---|
| 582 | |
---|
[108] | 583 | IF( kt == nit000 ) THEN |
---|
| 584 | IF(lwp) WRITE(numout,*) |
---|
[455] | 585 | IF(lwp) WRITE(numout,*) 'dyn:vor_een : vorticity term: energy and enstrophy conserving scheme' |
---|
| 586 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
[2715] | 587 | IF( .NOT.lk_vvl ) THEN |
---|
| 588 | ALLOCATE( ze3f(jpi,jpj,jpk) , STAT=ierr ) |
---|
| 589 | IF( lk_mpp ) CALL mpp_sum ( ierr ) |
---|
| 590 | IF( ierr /= 0 ) CALL ctl_stop( 'STOP', 'dyn:vor_een : unable to allocate arrays' ) |
---|
| 591 | ENDIF |
---|
[1438] | 592 | ENDIF |
---|
[108] | 593 | |
---|
[1438] | 594 | IF( kt == nit000 .OR. lk_vvl ) THEN ! reciprocal of e3 at F-point (masked averaging of e3t) |
---|
[108] | 595 | DO jk = 1, jpk |
---|
| 596 | DO jj = 1, jpjm1 |
---|
| 597 | DO ji = 1, jpim1 |
---|
| 598 | ze3f(ji,jj,jk) = ( fse3t(ji,jj+1,jk)*tmask(ji,jj+1,jk) + fse3t(ji+1,jj+1,jk)*tmask(ji+1,jj+1,jk) & |
---|
| 599 | & + fse3t(ji,jj ,jk)*tmask(ji,jj ,jk) + fse3t(ji+1,jj ,jk)*tmask(ji+1,jj ,jk) ) * 0.25 |
---|
[2715] | 600 | IF( ze3f(ji,jj,jk) /= 0._wp ) ze3f(ji,jj,jk) = 1._wp / ze3f(ji,jj,jk) |
---|
[108] | 601 | END DO |
---|
| 602 | END DO |
---|
| 603 | END DO |
---|
| 604 | CALL lbc_lnk( ze3f, 'F', 1. ) |
---|
| 605 | ENDIF |
---|
| 606 | |
---|
[2715] | 607 | zfac12 = 1._wp / 12._wp ! Local constant initialization |
---|
[216] | 608 | |
---|
[108] | 609 | |
---|
[455] | 610 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz, ztnw, ztne, ztsw, ztse ) |
---|
[108] | 611 | ! ! =============== |
---|
| 612 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 613 | ! ! =============== |
---|
| 614 | |
---|
| 615 | ! Potential vorticity and horizontal fluxes |
---|
| 616 | ! ----------------------------------------- |
---|
[643] | 617 | SELECT CASE( kvor ) ! vorticity considered |
---|
[1438] | 618 | CASE ( 1 ) ! planetary vorticity (Coriolis) |
---|
| 619 | zwz(:,:) = ff(:,:) * ze3f(:,:,jk) |
---|
| 620 | CASE ( 2 ) ! relative vorticity |
---|
| 621 | zwz(:,:) = rotn(:,:,jk) * ze3f(:,:,jk) |
---|
[643] | 622 | CASE ( 3 ) ! metric term |
---|
| 623 | DO jj = 1, jpjm1 |
---|
| 624 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 625 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 626 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 627 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) * ze3f(ji,jj,jk) |
---|
| 628 | END DO |
---|
| 629 | END DO |
---|
[1516] | 630 | CALL lbc_lnk( zwz, 'F', 1. ) |
---|
| 631 | CASE ( 4 ) ! total (relative + planetary vorticity) |
---|
[1438] | 632 | zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) * ze3f(:,:,jk) |
---|
[643] | 633 | CASE ( 5 ) ! total (coriolis + metric) |
---|
| 634 | DO jj = 1, jpjm1 |
---|
| 635 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 636 | zwz(ji,jj) = ( ff (ji,jj) & |
---|
| 637 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 638 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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[1438] | 639 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
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[643] | 640 | & ) * ze3f(ji,jj,jk) |
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| 641 | END DO |
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| 642 | END DO |
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[1516] | 643 | CALL lbc_lnk( zwz, 'F', 1. ) |
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[455] | 644 | END SELECT |
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| 645 | |
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[108] | 646 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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| 647 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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| 648 | |
---|
| 649 | ! Compute and add the vorticity term trend |
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| 650 | ! ---------------------------------------- |
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[1438] | 651 | jj = 2 |
---|
| 652 | ztne(1,:) = 0 ; ztnw(1,:) = 0 ; ztse(1,:) = 0 ; ztsw(1,:) = 0 |
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[108] | 653 | DO ji = 2, jpi |
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| 654 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
| 655 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
| 656 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
| 657 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
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| 658 | END DO |
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| 659 | DO jj = 3, jpj |
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[1694] | 660 | DO ji = fs_2, jpi ! vector opt. ok because we start at jj = 3 |
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[108] | 661 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
| 662 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
| 663 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
| 664 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
| 665 | END DO |
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| 666 | END DO |
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| 667 | DO jj = 2, jpjm1 |
---|
| 668 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 669 | zua = + zfac12 / e1u(ji,jj) * ( ztne(ji,jj ) * zwy(ji ,jj ) + ztnw(ji+1,jj) * zwy(ji+1,jj ) & |
---|
| 670 | & + ztse(ji,jj ) * zwy(ji ,jj-1) + ztsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
---|
| 671 | zva = - zfac12 / e2v(ji,jj) * ( ztsw(ji,jj+1) * zwx(ji-1,jj+1) + ztse(ji,jj+1) * zwx(ji ,jj+1) & |
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| 672 | & + ztnw(ji,jj ) * zwx(ji-1,jj ) + ztne(ji,jj ) * zwx(ji ,jj ) ) |
---|
[455] | 673 | pua(ji,jj,jk) = pua(ji,jj,jk) + zua |
---|
| 674 | pva(ji,jj,jk) = pva(ji,jj,jk) + zva |
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[108] | 675 | END DO |
---|
| 676 | END DO |
---|
| 677 | ! ! =============== |
---|
| 678 | END DO ! End of slab |
---|
| 679 | ! ! =============== |
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[2715] | 680 | IF( wrk_not_released(2, 1,2,3,4,5,6,7) .OR. & |
---|
| 681 | wrk_not_released(3, 1) ) CALL ctl_stop('dyn:vor_een: failed to release workspace arrays') |
---|
| 682 | ! |
---|
[455] | 683 | END SUBROUTINE vor_een |
---|
[216] | 684 | |
---|
| 685 | |
---|
[2528] | 686 | SUBROUTINE dyn_vor_init |
---|
[3] | 687 | !!--------------------------------------------------------------------- |
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[2528] | 688 | !! *** ROUTINE dyn_vor_init *** |
---|
[3] | 689 | !! |
---|
| 690 | !! ** Purpose : Control the consistency between cpp options for |
---|
[1438] | 691 | !! tracer advection schemes |
---|
[3] | 692 | !!---------------------------------------------------------------------- |
---|
[2715] | 693 | INTEGER :: ioptio ! local integer |
---|
| 694 | !! |
---|
[3097] | 695 | NAMELIST/namdyn_vor/ ln_dynvor_ens, ln_dynvor_ene, ln_dynvor_mix, ln_dynvor_een |
---|
[3] | 696 | !!---------------------------------------------------------------------- |
---|
| 697 | |
---|
[1601] | 698 | REWIND ( numnam ) ! Read Namelist namdyn_vor : Vorticity scheme options |
---|
| 699 | READ ( numnam, namdyn_vor ) |
---|
[3] | 700 | |
---|
[503] | 701 | IF(lwp) THEN ! Namelist print |
---|
[3] | 702 | WRITE(numout,*) |
---|
[2528] | 703 | WRITE(numout,*) 'dyn_vor_init : vorticity term : read namelist and control the consistency' |
---|
| 704 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
[1601] | 705 | WRITE(numout,*) ' Namelist namdyn_vor : oice of the vorticity term scheme' |
---|
[503] | 706 | WRITE(numout,*) ' energy conserving scheme ln_dynvor_ene = ', ln_dynvor_ene |
---|
| 707 | WRITE(numout,*) ' enstrophy conserving scheme ln_dynvor_ens = ', ln_dynvor_ens |
---|
| 708 | WRITE(numout,*) ' mixed enstrophy/energy conserving scheme ln_dynvor_mix = ', ln_dynvor_mix |
---|
| 709 | WRITE(numout,*) ' enstrophy and energy conserving scheme ln_dynvor_een = ', ln_dynvor_een |
---|
[52] | 710 | ENDIF |
---|
| 711 | |
---|
[3095] | 712 | ! If energy, enstrophy or mixed advection of momentum in vector form change the value for masks |
---|
| 713 | ! at angles with three ocean points and one land point |
---|
[3097] | 714 | IF( ln_vorlat .AND. (ln_dynvor_ene .OR. ln_dynvor_ens .OR. ln_dynvor_mix) ) THEN |
---|
[3095] | 715 | DO jj = 2, jpjm1 |
---|
| 716 | DO ji = 2, jpim1 |
---|
| 717 | IF( tmask(ji,jj,jk)+tmask(ji+1,jj,jk)+tmask(ji,jj+1,jk)+tmask(ji+1,jj+1,jk) == 3._wp ) & |
---|
| 718 | fmask(ji,jj,jk) = 1._wp |
---|
| 719 | END DO |
---|
| 720 | END DO |
---|
| 721 | ! |
---|
| 722 | CALL lbc_lnk( fmask, 'F', 1._wp ) ! Lateral boundary conditions on fmask |
---|
| 723 | ! |
---|
| 724 | ENDIF |
---|
| 725 | |
---|
[503] | 726 | ioptio = 0 ! Control of vorticity scheme options |
---|
| 727 | IF( ln_dynvor_ene ) ioptio = ioptio + 1 |
---|
| 728 | IF( ln_dynvor_ens ) ioptio = ioptio + 1 |
---|
| 729 | IF( ln_dynvor_mix ) ioptio = ioptio + 1 |
---|
| 730 | IF( ln_dynvor_een ) ioptio = ioptio + 1 |
---|
| 731 | IF( lk_esopa ) ioptio = 1 |
---|
| 732 | |
---|
| 733 | IF( ioptio /= 1 ) CALL ctl_stop( ' use ONE and ONLY one vorticity scheme' ) |
---|
| 734 | |
---|
[643] | 735 | ! ! Set nvor (type of scheme for vorticity) |
---|
[503] | 736 | IF( ln_dynvor_ene ) nvor = 0 |
---|
| 737 | IF( ln_dynvor_ens ) nvor = 1 |
---|
| 738 | IF( ln_dynvor_mix ) nvor = 2 |
---|
| 739 | IF( ln_dynvor_een ) nvor = 3 |
---|
| 740 | IF( lk_esopa ) nvor = -1 |
---|
| 741 | |
---|
[643] | 742 | ! ! Set ncor, nrvm, ntot (type of vorticity) |
---|
| 743 | IF(lwp) WRITE(numout,*) |
---|
| 744 | ncor = 1 |
---|
| 745 | IF( ln_dynadv_vec ) THEN |
---|
| 746 | IF(lwp) WRITE(numout,*) ' Vector form advection : vorticity = Coriolis + relative vorticity' |
---|
| 747 | nrvm = 2 |
---|
| 748 | ntot = 4 |
---|
| 749 | ELSE |
---|
| 750 | IF(lwp) WRITE(numout,*) ' Flux form advection : vorticity = Coriolis + metric term' |
---|
| 751 | nrvm = 3 |
---|
| 752 | ntot = 5 |
---|
| 753 | ENDIF |
---|
| 754 | |
---|
[503] | 755 | IF(lwp) THEN ! Print the choice |
---|
| 756 | WRITE(numout,*) |
---|
[643] | 757 | IF( nvor == 0 ) WRITE(numout,*) ' vorticity scheme : energy conserving scheme' |
---|
| 758 | IF( nvor == 1 ) WRITE(numout,*) ' vorticity scheme : enstrophy conserving scheme' |
---|
| 759 | IF( nvor == 2 ) WRITE(numout,*) ' vorticity scheme : mixed enstrophy/energy conserving scheme' |
---|
| 760 | IF( nvor == 3 ) WRITE(numout,*) ' vorticity scheme : energy and enstrophy conserving scheme' |
---|
[503] | 761 | IF( nvor == -1 ) WRITE(numout,*) ' esopa test: use all lateral physics options' |
---|
[3] | 762 | ENDIF |
---|
[503] | 763 | ! |
---|
[2528] | 764 | END SUBROUTINE dyn_vor_init |
---|
[3] | 765 | |
---|
[503] | 766 | !!============================================================================== |
---|
[3] | 767 | END MODULE dynvor |
---|