[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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[643] | 29 | USE dynadv ! momentum advection (use ln_dynadv_vec value) |
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[503] | 30 | USE trdmod ! ocean dynamics trends |
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| 31 | USE trdmod_oce ! ocean variables trends |
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| 32 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 33 | USE prtctl ! Print control |
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| 34 | USE in_out_manager ! I/O manager |
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[2715] | 35 | USE lib_mpp |
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[3] | 36 | |
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| 37 | IMPLICIT NONE |
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| 38 | PRIVATE |
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| 39 | |
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[2528] | 40 | PUBLIC dyn_vor ! routine called by step.F90 |
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| 41 | PUBLIC dyn_vor_init ! routine called by opa.F90 |
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[3] | 42 | |
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[1601] | 43 | ! !!* Namelist namdyn_vor: vorticity term |
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[32] | 44 | LOGICAL, PUBLIC :: ln_dynvor_ene = .FALSE. !: energy conserving scheme |
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| 45 | LOGICAL, PUBLIC :: ln_dynvor_ens = .TRUE. !: enstrophy conserving scheme |
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| 46 | LOGICAL, PUBLIC :: ln_dynvor_mix = .FALSE. !: mixed scheme |
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[503] | 47 | LOGICAL, PUBLIC :: ln_dynvor_een = .FALSE. !: energy and enstrophy conserving scheme |
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[3] | 48 | |
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[503] | 49 | INTEGER :: nvor = 0 ! type of vorticity trend used |
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[643] | 50 | INTEGER :: ncor = 1 ! coriolis |
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| 51 | INTEGER :: nrvm = 2 ! =2 relative vorticity ; =3 metric term |
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| 52 | INTEGER :: ntot = 4 ! =4 total vorticity (relative + planetary) ; =5 coriolis + metric term |
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[455] | 53 | |
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[3] | 54 | !! * Substitutions |
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| 55 | # include "domzgr_substitute.h90" |
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| 56 | # include "vectopt_loop_substitute.h90" |
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| 57 | !!---------------------------------------------------------------------- |
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[2528] | 58 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[1152] | 59 | !! $Id$ |
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[2715] | 60 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 61 | !!---------------------------------------------------------------------- |
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| 62 | CONTAINS |
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| 63 | |
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[455] | 64 | SUBROUTINE dyn_vor( kt ) |
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[3] | 65 | !!---------------------------------------------------------------------- |
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| 66 | !! |
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[455] | 67 | !! ** Purpose : compute the lateral ocean tracer physics. |
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| 68 | !! |
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| 69 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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[503] | 70 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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[455] | 71 | !! and planetary vorticity trends) ('key_trddyn') |
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[503] | 72 | !!---------------------------------------------------------------------- |
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[2977] | 73 | USE oce, ONLY: tsa ! tsa used as 2 3D workspace |
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| 74 | !! |
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| 75 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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[2715] | 76 | ! |
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[2977] | 77 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrdu, ztrdv |
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[455] | 78 | !!---------------------------------------------------------------------- |
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[2715] | 79 | ! |
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[2977] | 80 | IF( l_trddyn ) THEN |
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| 81 | ztrdu => tsa(:,:,:,1) |
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| 82 | ztrdv => tsa(:,:,:,2) |
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| 83 | END IF |
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| 84 | ! |
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[643] | 85 | ! ! vorticity term |
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[455] | 86 | SELECT CASE ( nvor ) ! compute the vorticity trend and add it to the general trend |
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[643] | 87 | ! |
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[455] | 88 | CASE ( -1 ) ! esopa: test all possibility with control print |
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[643] | 89 | CALL vor_ene( kt, ntot, ua, va ) |
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[503] | 90 | CALL prt_ctl( tab3d_1=ua, clinfo1=' vor0 - Ua: ', mask1=umask, & |
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| 91 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[643] | 92 | CALL vor_ens( kt, ntot, ua, va ) |
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[503] | 93 | CALL prt_ctl( tab3d_1=ua, clinfo1=' vor1 - Ua: ', mask1=umask, & |
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| 94 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[455] | 95 | CALL vor_mix( kt ) |
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[503] | 96 | CALL prt_ctl( tab3d_1=ua, clinfo1=' vor2 - Ua: ', mask1=umask, & |
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| 97 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[643] | 98 | CALL vor_een( kt, ntot, ua, va ) |
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[503] | 99 | CALL prt_ctl( tab3d_1=ua, clinfo1=' vor3 - Ua: ', mask1=umask, & |
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| 100 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[643] | 101 | ! |
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[455] | 102 | CASE ( 0 ) ! energy conserving scheme |
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| 103 | IF( l_trddyn ) THEN |
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| 104 | ztrdu(:,:,:) = ua(:,:,:) |
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| 105 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 106 | CALL vor_ene( kt, nrvm, ua, va ) ! relative vorticity or metric trend |
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[455] | 107 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 108 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 109 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_rvo, 'DYN', kt ) |
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[455] | 110 | ztrdu(:,:,:) = ua(:,:,:) |
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| 111 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 112 | CALL vor_ene( kt, ncor, ua, va ) ! planetary vorticity trend |
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[455] | 113 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 114 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[1104] | 115 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_pvo, 'DYN', kt ) |
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[503] | 116 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_dat, 'DYN', kt ) |
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[455] | 117 | ELSE |
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[643] | 118 | CALL vor_ene( kt, ntot, ua, va ) ! total vorticity |
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[455] | 119 | ENDIF |
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[643] | 120 | ! |
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[455] | 121 | CASE ( 1 ) ! enstrophy conserving scheme |
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| 122 | IF( l_trddyn ) THEN |
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| 123 | ztrdu(:,:,:) = ua(:,:,:) |
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| 124 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 125 | CALL vor_ens( kt, nrvm, ua, va ) ! relative vorticity or metric trend |
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[455] | 126 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 127 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 128 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_rvo, 'DYN', kt ) |
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[455] | 129 | ztrdu(:,:,:) = ua(:,:,:) |
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| 130 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 131 | CALL vor_ens( kt, ncor, ua, va ) ! planetary vorticity trend |
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[455] | 132 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 133 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[1104] | 134 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_pvo, 'DYN', kt ) |
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[503] | 135 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_dat, 'DYN', kt ) |
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[455] | 136 | ELSE |
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[643] | 137 | CALL vor_ens( kt, ntot, ua, va ) ! total vorticity |
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[455] | 138 | ENDIF |
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[643] | 139 | ! |
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[455] | 140 | CASE ( 2 ) ! mixed ene-ens scheme |
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| 141 | IF( l_trddyn ) THEN |
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| 142 | ztrdu(:,:,:) = ua(:,:,:) |
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| 143 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 144 | CALL vor_ens( kt, nrvm, ua, va ) ! relative vorticity or metric trend (ens) |
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[455] | 145 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 146 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 147 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_rvo, 'DYN', kt ) |
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[455] | 148 | ztrdu(:,:,:) = ua(:,:,:) |
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| 149 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 150 | CALL vor_ene( kt, ncor, ua, va ) ! planetary vorticity trend (ene) |
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[455] | 151 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 152 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[1104] | 153 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_pvo, 'DYN', kt ) |
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[503] | 154 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_dat, 'DYN', kt ) |
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[455] | 155 | ELSE |
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| 156 | CALL vor_mix( kt ) ! total vorticity (mix=ens-ene) |
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| 157 | ENDIF |
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[643] | 158 | ! |
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[455] | 159 | CASE ( 3 ) ! energy and enstrophy conserving scheme |
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| 160 | IF( l_trddyn ) THEN |
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| 161 | ztrdu(:,:,:) = ua(:,:,:) |
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| 162 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 163 | CALL vor_een( kt, nrvm, ua, va ) ! relative vorticity or metric trend |
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[455] | 164 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 165 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 166 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_rvo, 'DYN', kt ) |
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[455] | 167 | ztrdu(:,:,:) = ua(:,:,:) |
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| 168 | ztrdv(:,:,:) = va(:,:,:) |
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[643] | 169 | CALL vor_een( kt, ncor, ua, va ) ! planetary vorticity trend |
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[455] | 170 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 171 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[1104] | 172 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_pvo, 'DYN', kt ) |
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[503] | 173 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_dat, 'DYN', kt ) |
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[455] | 174 | ELSE |
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[643] | 175 | CALL vor_een( kt, ntot, ua, va ) ! total vorticity |
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[455] | 176 | ENDIF |
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[643] | 177 | ! |
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[455] | 178 | END SELECT |
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[2715] | 179 | ! |
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[455] | 180 | ! ! print sum trends (used for debugging) |
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[2715] | 181 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' vor - Ua: ', mask1=umask, & |
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[455] | 182 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[1438] | 183 | ! |
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[455] | 184 | END SUBROUTINE dyn_vor |
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| 185 | |
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| 186 | |
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[643] | 187 | SUBROUTINE vor_ene( kt, kvor, pua, pva ) |
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[455] | 188 | !!---------------------------------------------------------------------- |
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| 189 | !! *** ROUTINE vor_ene *** |
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| 190 | !! |
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[3] | 191 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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| 192 | !! the general trend of the momentum equation. |
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| 193 | !! |
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| 194 | !! ** Method : Trend evaluated using now fields (centered in time) |
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| 195 | !! and the Sadourny (1975) flux form formulation : conserves the |
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| 196 | !! horizontal kinetic energy. |
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| 197 | !! The trend of the vorticity term is given by: |
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[455] | 198 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivatives: |
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[3] | 199 | !! voru = 1/e1u mj-1[ (rotn+f)/e3f mi(e1v*e3v vn) ] |
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| 200 | !! vorv = 1/e2v mi-1[ (rotn+f)/e3f mj(e2u*e3u un) ] |
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| 201 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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| 202 | !! voru = 1/e1u mj-1[ (rotn+f) mi(e1v vn) ] |
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| 203 | !! vorv = 1/e2v mi-1[ (rotn+f) mj(e2u un) ] |
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| 204 | !! Add this trend to the general momentum trend (ua,va): |
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| 205 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
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| 206 | !! |
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| 207 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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[503] | 208 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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[3] | 209 | !! and planetary vorticity trends) ('key_trddyn') |
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| 210 | !! |
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[503] | 211 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
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[3] | 212 | !!---------------------------------------------------------------------- |
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[2715] | 213 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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| 214 | USE wrk_nemo, ONLY: zwx => wrk_2d_1 , zwy => wrk_2d_2 , zwz => wrk_2d_3 ! 2D workspace |
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| 215 | ! |
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[643] | 216 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 217 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
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[1438] | 218 | ! ! =nrvm (relative vorticity or metric) |
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[643] | 219 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua ! total u-trend |
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| 220 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva ! total v-trend |
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[2715] | 221 | ! |
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| 222 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 223 | REAL(wp) :: zx1, zy1, zfact2, zx2, zy2 ! local scalars |
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[3] | 224 | !!---------------------------------------------------------------------- |
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| 225 | |
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[2715] | 226 | IF( wrk_in_use(2, 1,2,3) ) THEN |
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| 227 | CALL ctl_stop('dyn:vor_ene: requested workspace arrays unavailable') ; RETURN |
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| 228 | ENDIF |
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| 229 | |
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[52] | 230 | IF( kt == nit000 ) THEN |
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| 231 | IF(lwp) WRITE(numout,*) |
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[455] | 232 | IF(lwp) WRITE(numout,*) 'dyn:vor_ene : vorticity term: energy conserving scheme' |
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| 233 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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[52] | 234 | ENDIF |
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[3] | 235 | |
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[1438] | 236 | zfact2 = 0.5 * 0.5 ! Local constant initialization |
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[216] | 237 | |
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[455] | 238 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz ) |
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[3] | 239 | ! ! =============== |
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| 240 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 241 | ! ! =============== |
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[1438] | 242 | ! |
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[3] | 243 | ! Potential vorticity and horizontal fluxes |
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| 244 | ! ----------------------------------------- |
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[643] | 245 | SELECT CASE( kvor ) ! vorticity considered |
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| 246 | CASE ( 1 ) ; zwz(:,:) = ff(:,:) ! planetary vorticity (Coriolis) |
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| 247 | CASE ( 2 ) ; zwz(:,:) = rotn(:,:,jk) ! relative vorticity |
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| 248 | CASE ( 3 ) ! metric term |
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| 249 | DO jj = 1, jpjm1 |
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| 250 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 251 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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| 252 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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| 253 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
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| 254 | END DO |
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| 255 | END DO |
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| 256 | CASE ( 4 ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) ! total (relative + planetary vorticity) |
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| 257 | CASE ( 5 ) ! total (coriolis + metric) |
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| 258 | DO jj = 1, jpjm1 |
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| 259 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 260 | zwz(ji,jj) = ( ff (ji,jj) & |
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| 261 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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| 262 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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| 263 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
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| 264 | & ) |
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| 265 | END DO |
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| 266 | END DO |
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[455] | 267 | END SELECT |
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| 268 | |
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| 269 | IF( ln_sco ) THEN |
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| 270 | zwz(:,:) = zwz(:,:) / fse3f(:,:,jk) |
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[3] | 271 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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| 272 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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| 273 | ELSE |
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| 274 | zwx(:,:) = e2u(:,:) * un(:,:,jk) |
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| 275 | zwy(:,:) = e1v(:,:) * vn(:,:,jk) |
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| 276 | ENDIF |
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| 277 | |
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| 278 | ! Compute and add the vorticity term trend |
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| 279 | ! ---------------------------------------- |
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| 280 | DO jj = 2, jpjm1 |
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| 281 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 282 | zy1 = zwy(ji,jj-1) + zwy(ji+1,jj-1) |
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| 283 | zy2 = zwy(ji,jj ) + zwy(ji+1,jj ) |
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| 284 | zx1 = zwx(ji-1,jj) + zwx(ji-1,jj+1) |
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| 285 | zx2 = zwx(ji ,jj) + zwx(ji ,jj+1) |
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[455] | 286 | 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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| 287 | 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] | 288 | END DO |
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| 289 | END DO |
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| 290 | ! ! =============== |
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| 291 | END DO ! End of slab |
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| 292 | ! ! =============== |
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[2715] | 293 | IF( wrk_not_released(2, 1,2,3) ) CALL ctl_stop('dyn:vor_ene: failed to release workspace arrays') |
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| 294 | ! |
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[455] | 295 | END SUBROUTINE vor_ene |
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[216] | 296 | |
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| 297 | |
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[455] | 298 | SUBROUTINE vor_mix( kt ) |
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[3] | 299 | !!---------------------------------------------------------------------- |
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[455] | 300 | !! *** ROUTINE vor_mix *** |
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[3] | 301 | !! |
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| 302 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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| 303 | !! the general trend of the momentum equation. |
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| 304 | !! |
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| 305 | !! ** Method : Trend evaluated using now fields (centered in time) |
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| 306 | !! Mixte formulation : conserves the potential enstrophy of a hori- |
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| 307 | !! zontally non-divergent flow for (rotzu x uh), the relative vor- |
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| 308 | !! ticity term and the horizontal kinetic energy for (f x uh), the |
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| 309 | !! coriolis term. the now trend of the vorticity term is given by: |
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[455] | 310 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivatives: |
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[3] | 311 | !! voru = 1/e1u mj-1(rotn/e3f) mj-1[ mi(e1v*e3v vn) ] |
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| 312 | !! +1/e1u mj-1[ f/e3f mi(e1v*e3v vn) ] |
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| 313 | !! vorv = 1/e2v mi-1(rotn/e3f) mi-1[ mj(e2u*e3u un) ] |
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| 314 | !! +1/e2v mi-1[ f/e3f mj(e2u*e3u un) ] |
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| 315 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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| 316 | !! voru = 1/e1u mj-1(rotn) mj-1[ mi(e1v vn) ] |
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| 317 | !! +1/e1u mj-1[ f mi(e1v vn) ] |
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| 318 | !! vorv = 1/e2v mi-1(rotn) mi-1[ mj(e2u un) ] |
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| 319 | !! +1/e2v mi-1[ f mj(e2u un) ] |
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| 320 | !! Add this now trend to the general momentum trend (ua,va): |
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| 321 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
---|
| 322 | !! |
---|
| 323 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
---|
[503] | 324 | !! - Save the trends in (ztrdu,ztrdv) in 2 parts (relative |
---|
[3] | 325 | !! and planetary vorticity trends) ('key_trddyn') |
---|
| 326 | !! |
---|
[503] | 327 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
---|
[3] | 328 | !!---------------------------------------------------------------------- |
---|
[2715] | 329 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
---|
| 330 | USE wrk_nemo, ONLY: zwx => wrk_2d_4 , zwy => wrk_2d_5 , zwz => wrk_2d_6 , zww => wrk_2d_7 ! 2D workspace |
---|
| 331 | ! |
---|
[503] | 332 | INTEGER, INTENT(in) :: kt ! ocean timestep index |
---|
[2715] | 333 | ! |
---|
[1438] | 334 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
[2715] | 335 | REAL(wp) :: zfact1, zua, zcua, zx1, zy1 ! local scalars |
---|
| 336 | REAL(wp) :: zfact2, zva, zcva, zx2, zy2 ! - - |
---|
[3] | 337 | !!---------------------------------------------------------------------- |
---|
| 338 | |
---|
[2715] | 339 | IF( wrk_in_use(2, 4,5,6,7) ) THEN |
---|
| 340 | CALL ctl_stop('dyn:vor_mix: requested workspace arrays unavailable') ; RETURN |
---|
| 341 | ENDIF |
---|
| 342 | |
---|
[52] | 343 | IF( kt == nit000 ) THEN |
---|
| 344 | IF(lwp) WRITE(numout,*) |
---|
[455] | 345 | IF(lwp) WRITE(numout,*) 'dyn:vor_mix : vorticity term: mixed energy/enstrophy conserving scheme' |
---|
| 346 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
[52] | 347 | ENDIF |
---|
[3] | 348 | |
---|
[1438] | 349 | zfact1 = 0.5 * 0.25 ! Local constant initialization |
---|
[3] | 350 | zfact2 = 0.5 * 0.5 |
---|
| 351 | |
---|
[455] | 352 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz, zww ) |
---|
[3] | 353 | ! ! =============== |
---|
| 354 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 355 | ! ! =============== |
---|
[1438] | 356 | ! |
---|
[3] | 357 | ! Relative and planetary potential vorticity and horizontal fluxes |
---|
| 358 | ! ---------------------------------------------------------------- |
---|
[455] | 359 | IF( ln_sco ) THEN |
---|
[643] | 360 | IF( ln_dynadv_vec ) THEN |
---|
| 361 | zww(:,:) = rotn(:,:,jk) / fse3f(:,:,jk) |
---|
| 362 | ELSE |
---|
| 363 | DO jj = 1, jpjm1 |
---|
| 364 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 365 | zww(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 366 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 367 | & * 0.5 / ( e1f(ji,jj) * e2f (ji,jj) * fse3f(ji,jj,jk) ) |
---|
| 368 | END DO |
---|
| 369 | END DO |
---|
| 370 | ENDIF |
---|
[3] | 371 | zwz(:,:) = ff (:,:) / fse3f(:,:,jk) |
---|
| 372 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
---|
| 373 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
---|
| 374 | ELSE |
---|
[643] | 375 | IF( ln_dynadv_vec ) THEN |
---|
| 376 | zww(:,:) = rotn(:,:,jk) |
---|
| 377 | ELSE |
---|
| 378 | DO jj = 1, jpjm1 |
---|
| 379 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 380 | zww(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 381 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 382 | & * 0.5 / ( e1f(ji,jj) * e2f (ji,jj) ) |
---|
| 383 | END DO |
---|
| 384 | END DO |
---|
| 385 | ENDIF |
---|
| 386 | zwz(:,:) = ff (:,:) |
---|
[3] | 387 | zwx(:,:) = e2u(:,:) * un(:,:,jk) |
---|
| 388 | zwy(:,:) = e1v(:,:) * vn(:,:,jk) |
---|
| 389 | ENDIF |
---|
| 390 | |
---|
| 391 | ! Compute and add the vorticity term trend |
---|
| 392 | ! ---------------------------------------- |
---|
| 393 | DO jj = 2, jpjm1 |
---|
| 394 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 395 | zy1 = ( zwy(ji,jj-1) + zwy(ji+1,jj-1) ) / e1u(ji,jj) |
---|
| 396 | zy2 = ( zwy(ji,jj ) + zwy(ji+1,jj ) ) / e1u(ji,jj) |
---|
| 397 | zx1 = ( zwx(ji-1,jj) + zwx(ji-1,jj+1) ) / e2v(ji,jj) |
---|
| 398 | zx2 = ( zwx(ji ,jj) + zwx(ji ,jj+1) ) / e2v(ji,jj) |
---|
| 399 | ! enstrophy conserving formulation for relative vorticity term |
---|
| 400 | zua = zfact1 * ( zww(ji ,jj-1) + zww(ji,jj) ) * ( zy1 + zy2 ) |
---|
| 401 | zva =-zfact1 * ( zww(ji-1,jj ) + zww(ji,jj) ) * ( zx1 + zx2 ) |
---|
| 402 | ! energy conserving formulation for planetary vorticity term |
---|
| 403 | zcua = zfact2 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
---|
| 404 | zcva =-zfact2 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
---|
[503] | 405 | ! mixed vorticity trend added to the momentum trends |
---|
[3] | 406 | ua(ji,jj,jk) = ua(ji,jj,jk) + zcua + zua |
---|
| 407 | va(ji,jj,jk) = va(ji,jj,jk) + zcva + zva |
---|
| 408 | END DO |
---|
| 409 | END DO |
---|
| 410 | ! ! =============== |
---|
| 411 | END DO ! End of slab |
---|
| 412 | ! ! =============== |
---|
[2715] | 413 | IF( wrk_not_released(2, 4,5,6,7) ) CALL ctl_stop('dyn:vor_mix: failed to release workspace arrays') |
---|
| 414 | ! |
---|
[455] | 415 | END SUBROUTINE vor_mix |
---|
[216] | 416 | |
---|
| 417 | |
---|
[643] | 418 | SUBROUTINE vor_ens( kt, kvor, pua, pva ) |
---|
[3] | 419 | !!---------------------------------------------------------------------- |
---|
[455] | 420 | !! *** ROUTINE vor_ens *** |
---|
[3] | 421 | !! |
---|
| 422 | !! ** Purpose : Compute the now total vorticity trend and add it to |
---|
| 423 | !! the general trend of the momentum equation. |
---|
| 424 | !! |
---|
| 425 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
| 426 | !! and the Sadourny (1975) flux FORM formulation : conserves the |
---|
| 427 | !! potential enstrophy of a horizontally non-divergent flow. the |
---|
| 428 | !! trend of the vorticity term is given by: |
---|
[455] | 429 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivative: |
---|
[3] | 430 | !! voru = 1/e1u mj-1[ (rotn+f)/e3f ] mj-1[ mi(e1v*e3v vn) ] |
---|
| 431 | !! vorv = 1/e2v mi-1[ (rotn+f)/e3f ] mi-1[ mj(e2u*e3u un) ] |
---|
| 432 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
---|
| 433 | !! voru = 1/e1u mj-1[ rotn+f ] mj-1[ mi(e1v vn) ] |
---|
| 434 | !! vorv = 1/e2v mi-1[ rotn+f ] mi-1[ mj(e2u un) ] |
---|
| 435 | !! Add this trend to the general momentum trend (ua,va): |
---|
| 436 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
---|
| 437 | !! |
---|
| 438 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
---|
[503] | 439 | !! - Save the trends in (ztrdu,ztrdv) in 2 parts (relative |
---|
[3] | 440 | !! and planetary vorticity trends) ('key_trddyn') |
---|
| 441 | !! |
---|
[503] | 442 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
---|
[3] | 443 | !!---------------------------------------------------------------------- |
---|
[2715] | 444 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
---|
| 445 | USE wrk_nemo, ONLY: zwx => wrk_2d_4, zwy => wrk_2d_5, zwz => wrk_2d_6 ! 2D workspace |
---|
| 446 | ! |
---|
[643] | 447 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 448 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
---|
| 449 | ! ! =nrvm (relative vorticity or metric) |
---|
| 450 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua ! total u-trend |
---|
| 451 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva ! total v-trend |
---|
[2715] | 452 | ! |
---|
[503] | 453 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 454 | REAL(wp) :: zfact1, zuav, zvau ! temporary scalars |
---|
[3] | 455 | !!---------------------------------------------------------------------- |
---|
| 456 | |
---|
[2715] | 457 | IF( wrk_in_use(2, 4,5,6) ) THEN |
---|
| 458 | CALL ctl_stop('dyn:vor_ens: requested workspace arrays unavailable') ; RETURN |
---|
| 459 | END IF |
---|
| 460 | |
---|
[52] | 461 | IF( kt == nit000 ) THEN |
---|
| 462 | IF(lwp) WRITE(numout,*) |
---|
[455] | 463 | IF(lwp) WRITE(numout,*) 'dyn:vor_ens : vorticity term: enstrophy conserving scheme' |
---|
| 464 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
[52] | 465 | ENDIF |
---|
[3] | 466 | |
---|
[1438] | 467 | zfact1 = 0.5 * 0.25 ! Local constant initialization |
---|
[3] | 468 | |
---|
[455] | 469 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz ) |
---|
[3] | 470 | ! ! =============== |
---|
| 471 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 472 | ! ! =============== |
---|
[1438] | 473 | ! |
---|
[3] | 474 | ! Potential vorticity and horizontal fluxes |
---|
| 475 | ! ----------------------------------------- |
---|
[643] | 476 | SELECT CASE( kvor ) ! vorticity considered |
---|
| 477 | CASE ( 1 ) ; zwz(:,:) = ff(:,:) ! planetary vorticity (Coriolis) |
---|
| 478 | CASE ( 2 ) ; zwz(:,:) = rotn(:,:,jk) ! relative vorticity |
---|
| 479 | CASE ( 3 ) ! metric term |
---|
| 480 | DO jj = 1, jpjm1 |
---|
| 481 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 482 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 483 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 484 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
| 485 | END DO |
---|
| 486 | END DO |
---|
| 487 | CASE ( 4 ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) ! total (relative + planetary vorticity) |
---|
| 488 | CASE ( 5 ) ! total (coriolis + metric) |
---|
| 489 | DO jj = 1, jpjm1 |
---|
| 490 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 491 | zwz(ji,jj) = ( ff (ji,jj) & |
---|
| 492 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 493 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
[1438] | 494 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
---|
[643] | 495 | & ) |
---|
| 496 | END DO |
---|
| 497 | END DO |
---|
[455] | 498 | END SELECT |
---|
[1438] | 499 | ! |
---|
[455] | 500 | IF( ln_sco ) THEN |
---|
[3] | 501 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
| 502 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
[455] | 503 | zwz(ji,jj) = zwz(ji,jj) / fse3f(ji,jj,jk) |
---|
| 504 | zwx(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) * un(ji,jj,jk) |
---|
| 505 | zwy(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) * vn(ji,jj,jk) |
---|
[3] | 506 | END DO |
---|
| 507 | END DO |
---|
| 508 | ELSE |
---|
| 509 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
| 510 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
[455] | 511 | zwx(ji,jj) = e2u(ji,jj) * un(ji,jj,jk) |
---|
| 512 | zwy(ji,jj) = e1v(ji,jj) * vn(ji,jj,jk) |
---|
[3] | 513 | END DO |
---|
| 514 | END DO |
---|
| 515 | ENDIF |
---|
[1438] | 516 | ! |
---|
[3] | 517 | ! Compute and add the vorticity term trend |
---|
| 518 | ! ---------------------------------------- |
---|
| 519 | DO jj = 2, jpjm1 |
---|
| 520 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[455] | 521 | zuav = zfact1 / e1u(ji,jj) * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
---|
[503] | 522 | & + zwy(ji ,jj ) + zwy(ji+1,jj ) ) |
---|
[455] | 523 | zvau =-zfact1 / e2v(ji,jj) * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
---|
[503] | 524 | & + zwx(ji ,jj ) + zwx(ji ,jj+1) ) |
---|
[455] | 525 | pua(ji,jj,jk) = pua(ji,jj,jk) + zuav * ( zwz(ji ,jj-1) + zwz(ji,jj) ) |
---|
| 526 | pva(ji,jj,jk) = pva(ji,jj,jk) + zvau * ( zwz(ji-1,jj ) + zwz(ji,jj) ) |
---|
[3] | 527 | END DO |
---|
| 528 | END DO |
---|
| 529 | ! ! =============== |
---|
| 530 | END DO ! End of slab |
---|
| 531 | ! ! =============== |
---|
[2715] | 532 | IF( wrk_not_released(2, 4,5,6) ) CALL ctl_stop('dyn:vor_ens: failed to release workspace arrays') |
---|
| 533 | ! |
---|
[455] | 534 | END SUBROUTINE vor_ens |
---|
[216] | 535 | |
---|
| 536 | |
---|
[643] | 537 | SUBROUTINE vor_een( kt, kvor, pua, pva ) |
---|
[108] | 538 | !!---------------------------------------------------------------------- |
---|
[455] | 539 | !! *** ROUTINE vor_een *** |
---|
[108] | 540 | !! |
---|
| 541 | !! ** Purpose : Compute the now total vorticity trend and add it to |
---|
| 542 | !! the general trend of the momentum equation. |
---|
| 543 | !! |
---|
| 544 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
[1438] | 545 | !! and the Arakawa and Lamb (1980) flux form formulation : conserves |
---|
[108] | 546 | !! both the horizontal kinetic energy and the potential enstrophy |
---|
[1438] | 547 | !! when horizontal divergence is zero (see the NEMO documentation) |
---|
| 548 | !! Add this trend to the general momentum trend (ua,va). |
---|
[108] | 549 | !! |
---|
| 550 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
---|
[503] | 551 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
---|
[108] | 552 | !! and planetary vorticity trends) ('key_trddyn') |
---|
| 553 | !! |
---|
[503] | 554 | !! References : Arakawa and Lamb 1980, Mon. Wea. Rev., 109, 18-36 |
---|
| 555 | !!---------------------------------------------------------------------- |
---|
[2715] | 556 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
---|
| 557 | USE wrk_nemo, ONLY: zwx => wrk_2d_1 , zwy => wrk_2d_2 , zwz => wrk_2d_3 ! 2D workspace |
---|
| 558 | USE wrk_nemo, ONLY: ztnw => wrk_2d_4 , ztne => wrk_2d_5 |
---|
| 559 | USE wrk_nemo, ONLY: ztsw => wrk_2d_6 , ztse => wrk_2d_7 |
---|
| 560 | #if defined key_vvl |
---|
| 561 | USE wrk_nemo, ONLY: ze3f => wrk_3d_1 ! 3D workspace (lk_vvl=T) |
---|
| 562 | #endif |
---|
| 563 | ! |
---|
[643] | 564 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 565 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
---|
[1438] | 566 | ! ! =nrvm (relative vorticity or metric) |
---|
[643] | 567 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua ! total u-trend |
---|
| 568 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva ! total v-trend |
---|
[218] | 569 | !! |
---|
[1438] | 570 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
[2715] | 571 | INTEGER :: ierr ! local integer |
---|
| 572 | REAL(wp) :: zfac12, zua, zva ! local scalars |
---|
| 573 | #if ! defined key_vvl |
---|
| 574 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:), SAVE :: ze3f ! lk_vvl=F, ze3f=1/e3f saved one for all |
---|
[1438] | 575 | #endif |
---|
[108] | 576 | !!---------------------------------------------------------------------- |
---|
| 577 | |
---|
[2715] | 578 | IF( wrk_in_use(2, 1,2,3,4,5,6,7) .OR. wrk_in_use(3, 1) ) THEN |
---|
| 579 | CALL ctl_stop('dyn:vor_een: requested workspace arrays unavailable') ; RETURN |
---|
| 580 | ENDIF |
---|
| 581 | |
---|
[108] | 582 | IF( kt == nit000 ) THEN |
---|
| 583 | IF(lwp) WRITE(numout,*) |
---|
[455] | 584 | IF(lwp) WRITE(numout,*) 'dyn:vor_een : vorticity term: energy and enstrophy conserving scheme' |
---|
| 585 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
[2715] | 586 | IF( .NOT.lk_vvl ) THEN |
---|
| 587 | ALLOCATE( ze3f(jpi,jpj,jpk) , STAT=ierr ) |
---|
| 588 | IF( lk_mpp ) CALL mpp_sum ( ierr ) |
---|
| 589 | IF( ierr /= 0 ) CALL ctl_stop( 'STOP', 'dyn:vor_een : unable to allocate arrays' ) |
---|
| 590 | ENDIF |
---|
[1438] | 591 | ENDIF |
---|
[108] | 592 | |
---|
[1438] | 593 | IF( kt == nit000 .OR. lk_vvl ) THEN ! reciprocal of e3 at F-point (masked averaging of e3t) |
---|
[108] | 594 | DO jk = 1, jpk |
---|
| 595 | DO jj = 1, jpjm1 |
---|
| 596 | DO ji = 1, jpim1 |
---|
| 597 | 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) & |
---|
| 598 | & + fse3t(ji,jj ,jk)*tmask(ji,jj ,jk) + fse3t(ji+1,jj ,jk)*tmask(ji+1,jj ,jk) ) * 0.25 |
---|
[2715] | 599 | IF( ze3f(ji,jj,jk) /= 0._wp ) ze3f(ji,jj,jk) = 1._wp / ze3f(ji,jj,jk) |
---|
[108] | 600 | END DO |
---|
| 601 | END DO |
---|
| 602 | END DO |
---|
| 603 | CALL lbc_lnk( ze3f, 'F', 1. ) |
---|
| 604 | ENDIF |
---|
| 605 | |
---|
[2715] | 606 | zfac12 = 1._wp / 12._wp ! Local constant initialization |
---|
[216] | 607 | |
---|
[108] | 608 | |
---|
[455] | 609 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz, ztnw, ztne, ztsw, ztse ) |
---|
[108] | 610 | ! ! =============== |
---|
| 611 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 612 | ! ! =============== |
---|
| 613 | |
---|
| 614 | ! Potential vorticity and horizontal fluxes |
---|
| 615 | ! ----------------------------------------- |
---|
[643] | 616 | SELECT CASE( kvor ) ! vorticity considered |
---|
[1438] | 617 | CASE ( 1 ) ! planetary vorticity (Coriolis) |
---|
| 618 | zwz(:,:) = ff(:,:) * ze3f(:,:,jk) |
---|
| 619 | CASE ( 2 ) ! relative vorticity |
---|
| 620 | zwz(:,:) = rotn(:,:,jk) * ze3f(:,:,jk) |
---|
[643] | 621 | CASE ( 3 ) ! metric term |
---|
| 622 | DO jj = 1, jpjm1 |
---|
| 623 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 624 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 625 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 626 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) * ze3f(ji,jj,jk) |
---|
| 627 | END DO |
---|
| 628 | END DO |
---|
[1516] | 629 | CALL lbc_lnk( zwz, 'F', 1. ) |
---|
| 630 | CASE ( 4 ) ! total (relative + planetary vorticity) |
---|
[1438] | 631 | zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) * ze3f(:,:,jk) |
---|
[643] | 632 | CASE ( 5 ) ! total (coriolis + metric) |
---|
| 633 | DO jj = 1, jpjm1 |
---|
| 634 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 635 | zwz(ji,jj) = ( ff (ji,jj) & |
---|
| 636 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 637 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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[1438] | 638 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
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[643] | 639 | & ) * ze3f(ji,jj,jk) |
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| 640 | END DO |
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| 641 | END DO |
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[1516] | 642 | CALL lbc_lnk( zwz, 'F', 1. ) |
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[455] | 643 | END SELECT |
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| 644 | |
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[108] | 645 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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| 646 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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| 647 | |
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| 648 | ! Compute and add the vorticity term trend |
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| 649 | ! ---------------------------------------- |
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[1438] | 650 | jj = 2 |
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| 651 | ztne(1,:) = 0 ; ztnw(1,:) = 0 ; ztse(1,:) = 0 ; ztsw(1,:) = 0 |
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[108] | 652 | DO ji = 2, jpi |
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| 653 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
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| 654 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
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| 655 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
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| 656 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
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| 657 | END DO |
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| 658 | DO jj = 3, jpj |
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[1694] | 659 | DO ji = fs_2, jpi ! vector opt. ok because we start at jj = 3 |
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[108] | 660 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
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| 661 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
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| 662 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
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| 663 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
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| 664 | END DO |
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| 665 | END DO |
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| 666 | DO jj = 2, jpjm1 |
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| 667 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 668 | zua = + zfac12 / e1u(ji,jj) * ( ztne(ji,jj ) * zwy(ji ,jj ) + ztnw(ji+1,jj) * zwy(ji+1,jj ) & |
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| 669 | & + ztse(ji,jj ) * zwy(ji ,jj-1) + ztsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
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| 670 | 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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| 671 | & + ztnw(ji,jj ) * zwx(ji-1,jj ) + ztne(ji,jj ) * zwx(ji ,jj ) ) |
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[455] | 672 | pua(ji,jj,jk) = pua(ji,jj,jk) + zua |
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| 673 | pva(ji,jj,jk) = pva(ji,jj,jk) + zva |
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[108] | 674 | END DO |
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| 675 | END DO |
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| 676 | ! ! =============== |
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| 677 | END DO ! End of slab |
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| 678 | ! ! =============== |
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[2715] | 679 | IF( wrk_not_released(2, 1,2,3,4,5,6,7) .OR. & |
---|
| 680 | wrk_not_released(3, 1) ) CALL ctl_stop('dyn:vor_een: failed to release workspace arrays') |
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| 681 | ! |
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[455] | 682 | END SUBROUTINE vor_een |
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[216] | 683 | |
---|
| 684 | |
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[2528] | 685 | SUBROUTINE dyn_vor_init |
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[3] | 686 | !!--------------------------------------------------------------------- |
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[2528] | 687 | !! *** ROUTINE dyn_vor_init *** |
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[3] | 688 | !! |
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| 689 | !! ** Purpose : Control the consistency between cpp options for |
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[1438] | 690 | !! tracer advection schemes |
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[3] | 691 | !!---------------------------------------------------------------------- |
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[2715] | 692 | INTEGER :: ioptio ! local integer |
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| 693 | !! |
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[1601] | 694 | NAMELIST/namdyn_vor/ ln_dynvor_ens, ln_dynvor_ene, ln_dynvor_mix, ln_dynvor_een |
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[3] | 695 | !!---------------------------------------------------------------------- |
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| 696 | |
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[1601] | 697 | REWIND ( numnam ) ! Read Namelist namdyn_vor : Vorticity scheme options |
---|
| 698 | READ ( numnam, namdyn_vor ) |
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[3] | 699 | |
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[503] | 700 | IF(lwp) THEN ! Namelist print |
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[3] | 701 | WRITE(numout,*) |
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[2528] | 702 | WRITE(numout,*) 'dyn_vor_init : vorticity term : read namelist and control the consistency' |
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| 703 | WRITE(numout,*) '~~~~~~~~~~~~' |
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[1601] | 704 | WRITE(numout,*) ' Namelist namdyn_vor : oice of the vorticity term scheme' |
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[503] | 705 | WRITE(numout,*) ' energy conserving scheme ln_dynvor_ene = ', ln_dynvor_ene |
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| 706 | WRITE(numout,*) ' enstrophy conserving scheme ln_dynvor_ens = ', ln_dynvor_ens |
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| 707 | WRITE(numout,*) ' mixed enstrophy/energy conserving scheme ln_dynvor_mix = ', ln_dynvor_mix |
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| 708 | WRITE(numout,*) ' enstrophy and energy conserving scheme ln_dynvor_een = ', ln_dynvor_een |
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[52] | 709 | ENDIF |
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| 710 | |
---|
[503] | 711 | ioptio = 0 ! Control of vorticity scheme options |
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| 712 | IF( ln_dynvor_ene ) ioptio = ioptio + 1 |
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| 713 | IF( ln_dynvor_ens ) ioptio = ioptio + 1 |
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| 714 | IF( ln_dynvor_mix ) ioptio = ioptio + 1 |
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| 715 | IF( ln_dynvor_een ) ioptio = ioptio + 1 |
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| 716 | IF( lk_esopa ) ioptio = 1 |
---|
| 717 | |
---|
| 718 | IF( ioptio /= 1 ) CALL ctl_stop( ' use ONE and ONLY one vorticity scheme' ) |
---|
| 719 | |
---|
[643] | 720 | ! ! Set nvor (type of scheme for vorticity) |
---|
[503] | 721 | IF( ln_dynvor_ene ) nvor = 0 |
---|
| 722 | IF( ln_dynvor_ens ) nvor = 1 |
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| 723 | IF( ln_dynvor_mix ) nvor = 2 |
---|
| 724 | IF( ln_dynvor_een ) nvor = 3 |
---|
| 725 | IF( lk_esopa ) nvor = -1 |
---|
| 726 | |
---|
[643] | 727 | ! ! Set ncor, nrvm, ntot (type of vorticity) |
---|
| 728 | IF(lwp) WRITE(numout,*) |
---|
| 729 | ncor = 1 |
---|
| 730 | IF( ln_dynadv_vec ) THEN |
---|
| 731 | IF(lwp) WRITE(numout,*) ' Vector form advection : vorticity = Coriolis + relative vorticity' |
---|
| 732 | nrvm = 2 |
---|
| 733 | ntot = 4 |
---|
| 734 | ELSE |
---|
| 735 | IF(lwp) WRITE(numout,*) ' Flux form advection : vorticity = Coriolis + metric term' |
---|
| 736 | nrvm = 3 |
---|
| 737 | ntot = 5 |
---|
| 738 | ENDIF |
---|
| 739 | |
---|
[503] | 740 | IF(lwp) THEN ! Print the choice |
---|
| 741 | WRITE(numout,*) |
---|
[643] | 742 | IF( nvor == 0 ) WRITE(numout,*) ' vorticity scheme : energy conserving scheme' |
---|
| 743 | IF( nvor == 1 ) WRITE(numout,*) ' vorticity scheme : enstrophy conserving scheme' |
---|
| 744 | IF( nvor == 2 ) WRITE(numout,*) ' vorticity scheme : mixed enstrophy/energy conserving scheme' |
---|
| 745 | IF( nvor == 3 ) WRITE(numout,*) ' vorticity scheme : energy and enstrophy conserving scheme' |
---|
[503] | 746 | IF( nvor == -1 ) WRITE(numout,*) ' esopa test: use all lateral physics options' |
---|
[3] | 747 | ENDIF |
---|
[503] | 748 | ! |
---|
[2528] | 749 | END SUBROUTINE dyn_vor_init |
---|
[3] | 750 | |
---|
[503] | 751 | !!============================================================================== |
---|
[3] | 752 | END MODULE dynvor |
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