[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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[503] | 7 | !! History : 1.0 ! 89-12 (P. Andrich) vor_ens: Original code |
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| 8 | !! 5.0 ! 91-11 (G. Madec) vor_ene, vor_mix: Original code |
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| 9 | !! 6.0 ! 96-01 (G. Madec) s-coord, suppress work arrays |
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| 10 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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| 11 | !! 8.5 ! 04-02 (G. Madec) vor_een: Original code |
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| 12 | !! 9.0 ! 03-08 (G. Madec) vor_ctl: Original code |
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| 13 | !! 9.0 ! 05-11 (G. Madec) dyn_vor: Original code (new step architecture) |
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| 14 | !!---------------------------------------------------------------------- |
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[3] | 15 | |
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| 16 | !!---------------------------------------------------------------------- |
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[455] | 17 | !! dyn_vor : Update the momentum trend with the vorticity trend |
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| 18 | !! vor_ens : enstrophy conserving scheme (ln_dynvor_ens=T) |
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| 19 | !! vor_ene : energy conserving scheme (ln_dynvor_ene=T) |
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| 20 | !! vor_mix : mixed enstrophy/energy conserving (ln_dynvor_mix=T) |
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| 21 | !! vor_een : energy and enstrophy conserving (ln_dynvor_een=T) |
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| 22 | !! vor_ctl : control of the different vorticity option |
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[3] | 23 | !!---------------------------------------------------------------------- |
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[503] | 24 | USE oce ! ocean dynamics and tracers |
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| 25 | USE dom_oce ! ocean space and time domain |
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| 26 | USE trdmod ! ocean dynamics trends |
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| 27 | USE trdmod_oce ! ocean variables trends |
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| 28 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 29 | USE prtctl ! Print control |
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| 30 | USE in_out_manager ! I/O manager |
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[3] | 31 | |
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| 32 | IMPLICIT NONE |
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| 33 | PRIVATE |
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| 34 | |
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[503] | 35 | PUBLIC dyn_vor ! routine called by step.F90 |
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[3] | 36 | |
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[503] | 37 | !!* Namelist nam_dynvor: vorticity term |
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[32] | 38 | LOGICAL, PUBLIC :: ln_dynvor_ene = .FALSE. !: energy conserving scheme |
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| 39 | LOGICAL, PUBLIC :: ln_dynvor_ens = .TRUE. !: enstrophy conserving scheme |
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| 40 | LOGICAL, PUBLIC :: ln_dynvor_mix = .FALSE. !: mixed scheme |
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[503] | 41 | LOGICAL, PUBLIC :: ln_dynvor_een = .FALSE. !: energy and enstrophy conserving scheme |
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| 42 | NAMELIST/nam_dynvor/ ln_dynvor_ens, ln_dynvor_ene, ln_dynvor_mix, ln_dynvor_een |
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[3] | 43 | |
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[503] | 44 | INTEGER :: nvor = 0 ! type of vorticity trend used |
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[455] | 45 | |
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[3] | 46 | !! * Substitutions |
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| 47 | # include "domzgr_substitute.h90" |
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| 48 | # include "vectopt_loop_substitute.h90" |
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| 49 | !!---------------------------------------------------------------------- |
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[503] | 50 | !! OPA 9.0 , LOCEAN-IPSL (2006) |
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| 51 | !! $Header$ |
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| 52 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[3] | 53 | !!---------------------------------------------------------------------- |
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| 54 | |
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| 55 | CONTAINS |
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| 56 | |
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[455] | 57 | SUBROUTINE dyn_vor( kt ) |
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[3] | 58 | !!---------------------------------------------------------------------- |
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| 59 | !! |
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[455] | 60 | !! ** Purpose : compute the lateral ocean tracer physics. |
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| 61 | !! |
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| 62 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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[503] | 63 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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[455] | 64 | !! and planetary vorticity trends) ('key_trddyn') |
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[503] | 65 | !!---------------------------------------------------------------------- |
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| 66 | USE oce, ONLY : ztrdu => ta ! use ta as 3D workspace |
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| 67 | USE oce, ONLY : ztrdv => sa ! use sa as 3D workspace |
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[455] | 68 | !! |
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[503] | 69 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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[455] | 70 | !!---------------------------------------------------------------------- |
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| 71 | |
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| 72 | IF( kt == nit000 ) CALL vor_ctl ! initialisation & control of options |
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| 73 | |
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| 74 | ! ! vorticity term including Coriolis |
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| 75 | SELECT CASE ( nvor ) ! compute the vorticity trend and add it to the general trend |
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| 76 | |
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| 77 | CASE ( -1 ) ! esopa: test all possibility with control print |
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| 78 | CALL vor_ene( kt, 'TOT', ua, va ) |
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[503] | 79 | CALL prt_ctl( tab3d_1=ua, clinfo1=' vor0 - Ua: ', mask1=umask, & |
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| 80 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[455] | 81 | CALL vor_ens( kt, 'TOT', ua, va ) |
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[503] | 82 | CALL prt_ctl( tab3d_1=ua, clinfo1=' vor1 - Ua: ', mask1=umask, & |
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| 83 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[455] | 84 | CALL vor_mix( kt ) |
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[503] | 85 | CALL prt_ctl( tab3d_1=ua, clinfo1=' vor2 - Ua: ', mask1=umask, & |
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| 86 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[455] | 87 | CALL vor_een( kt, 'TOT', ua, va ) |
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[503] | 88 | CALL prt_ctl( tab3d_1=ua, clinfo1=' vor3 - Ua: ', mask1=umask, & |
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| 89 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[455] | 90 | |
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| 91 | CASE ( 0 ) ! energy conserving scheme |
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| 92 | IF( l_trddyn ) THEN |
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| 93 | ztrdu(:,:,:) = ua(:,:,:) |
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| 94 | ztrdv(:,:,:) = va(:,:,:) |
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| 95 | CALL vor_ene( kt, 'VOR', ua, va ) ! relative vorticity trend |
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| 96 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 97 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 98 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_rvo, 'DYN', kt ) |
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[455] | 99 | ztrdu(:,:,:) = ua(:,:,:) |
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| 100 | ztrdv(:,:,:) = va(:,:,:) |
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| 101 | CALL vor_ene( kt, 'COR', ua, va ) ! planetary vorticity trend |
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| 102 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 103 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 104 | CALL trd_mod( ztrdu, ztrdu, jpdyn_trd_pvo, 'DYN', kt ) |
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| 105 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_dat, 'DYN', kt ) |
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[455] | 106 | ELSE |
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| 107 | CALL vor_ene( kt, 'TOT', ua, va ) ! total vorticity |
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| 108 | ENDIF |
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| 109 | |
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| 110 | CASE ( 1 ) ! enstrophy conserving scheme |
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| 111 | IF( l_trddyn ) THEN |
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| 112 | ztrdu(:,:,:) = ua(:,:,:) |
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| 113 | ztrdv(:,:,:) = va(:,:,:) |
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| 114 | CALL vor_ens( kt, 'VOR', ua, va ) ! relative vorticity trend |
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| 115 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 116 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 117 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_rvo, 'DYN', kt ) |
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[455] | 118 | ztrdu(:,:,:) = ua(:,:,:) |
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| 119 | ztrdv(:,:,:) = va(:,:,:) |
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| 120 | CALL vor_ens( kt, 'COR', ua, va ) ! planetary vorticity trend |
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| 121 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 122 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 123 | CALL trd_mod( ztrdu, ztrdu, jpdyn_trd_pvo, 'DYN', kt ) |
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| 124 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_dat, 'DYN', kt ) |
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[455] | 125 | ELSE |
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| 126 | CALL vor_ens( kt, 'TOT', ua, va ) ! total vorticity |
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| 127 | ENDIF |
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| 128 | |
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| 129 | CASE ( 2 ) ! mixed ene-ens scheme |
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| 130 | IF( l_trddyn ) THEN |
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| 131 | ztrdu(:,:,:) = ua(:,:,:) |
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| 132 | ztrdv(:,:,:) = va(:,:,:) |
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| 133 | CALL vor_ens( kt, 'VOR', ua, va ) ! relative vorticity trend (ens) |
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| 134 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 135 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 136 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_rvo, 'DYN', kt ) |
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[455] | 137 | ztrdu(:,:,:) = ua(:,:,:) |
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| 138 | ztrdv(:,:,:) = va(:,:,:) |
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| 139 | CALL vor_ene( kt, 'COR', ua, va ) ! planetary vorticity trend (ene) |
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| 140 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 141 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 142 | CALL trd_mod( ztrdu, ztrdu, jpdyn_trd_pvo, 'DYN', kt ) |
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| 143 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_dat, 'DYN', kt ) |
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[455] | 144 | ELSE |
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| 145 | CALL vor_mix( kt ) ! total vorticity (mix=ens-ene) |
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| 146 | ENDIF |
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| 147 | |
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| 148 | CASE ( 3 ) ! energy and enstrophy conserving scheme |
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| 149 | IF( l_trddyn ) THEN |
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| 150 | ztrdu(:,:,:) = ua(:,:,:) |
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| 151 | ztrdv(:,:,:) = va(:,:,:) |
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| 152 | CALL vor_een( kt, 'VOR', ua, va ) ! relative vorticity trend |
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| 153 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 154 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 155 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_rvo, 'DYN', kt ) |
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[455] | 156 | ztrdu(:,:,:) = ua(:,:,:) |
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| 157 | ztrdv(:,:,:) = va(:,:,:) |
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| 158 | CALL vor_een( kt, 'COR', ua, va ) ! planetary vorticity trend |
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| 159 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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| 160 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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[503] | 161 | CALL trd_mod( ztrdu, ztrdu, jpdyn_trd_pvo, 'DYN', kt ) |
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| 162 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_dat, 'DYN', kt ) |
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[455] | 163 | ELSE |
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| 164 | CALL vor_een( kt, 'TOT', ua, va ) ! total vorticity |
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| 165 | ENDIF |
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| 166 | |
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| 167 | END SELECT |
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| 168 | |
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| 169 | ! ! print sum trends (used for debugging) |
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| 170 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' vor - Ua: ', mask1=umask, & |
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| 171 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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| 172 | |
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| 173 | END SUBROUTINE dyn_vor |
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| 174 | |
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| 175 | |
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| 176 | SUBROUTINE vor_ene( kt, cd_vor, pua, pva ) |
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| 177 | !!---------------------------------------------------------------------- |
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| 178 | !! *** ROUTINE vor_ene *** |
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| 179 | !! |
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[3] | 180 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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| 181 | !! the general trend of the momentum equation. |
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| 182 | !! |
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| 183 | !! ** Method : Trend evaluated using now fields (centered in time) |
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| 184 | !! and the Sadourny (1975) flux form formulation : conserves the |
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| 185 | !! horizontal kinetic energy. |
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| 186 | !! The trend of the vorticity term is given by: |
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[455] | 187 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivatives: |
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[3] | 188 | !! voru = 1/e1u mj-1[ (rotn+f)/e3f mi(e1v*e3v vn) ] |
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| 189 | !! vorv = 1/e2v mi-1[ (rotn+f)/e3f mj(e2u*e3u un) ] |
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| 190 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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| 191 | !! voru = 1/e1u mj-1[ (rotn+f) mi(e1v vn) ] |
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| 192 | !! vorv = 1/e2v mi-1[ (rotn+f) mj(e2u un) ] |
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| 193 | !! Add this trend to the general momentum trend (ua,va): |
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| 194 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
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| 195 | !! |
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| 196 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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[503] | 197 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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[3] | 198 | !! and planetary vorticity trends) ('key_trddyn') |
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| 199 | !! |
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[503] | 200 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
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[3] | 201 | !!---------------------------------------------------------------------- |
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[503] | 202 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 203 | CHARACTER(len=3) , INTENT(in ) :: cd_vor ! ='COR' (planetary) ; ='VOR' (relative) |
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| 204 | ! ! ='TOT' (total) |
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| 205 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua ! total u-trend |
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| 206 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva ! total v-trend |
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| 207 | !! |
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| 208 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 209 | REAL(wp) :: zx1, zy1, zfact2 ! temporary scalars |
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| 210 | REAL(wp) :: zx2, zy2 ! " " |
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| 211 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zwy, zwz ! temporary 2D workspace |
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[3] | 212 | !!---------------------------------------------------------------------- |
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| 213 | |
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[52] | 214 | IF( kt == nit000 ) THEN |
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| 215 | IF(lwp) WRITE(numout,*) |
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[455] | 216 | IF(lwp) WRITE(numout,*) 'dyn:vor_ene : vorticity term: energy conserving scheme' |
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| 217 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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[52] | 218 | ENDIF |
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[3] | 219 | |
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| 220 | ! Local constant initialization |
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| 221 | zfact2 = 0.5 * 0.5 |
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[216] | 222 | |
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[455] | 223 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz ) |
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| 224 | !$OMP PARALLEL DO PRIVATE( zwx, zwy, zwz ) |
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[3] | 225 | ! ! =============== |
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| 226 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 227 | ! ! =============== |
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| 228 | ! Potential vorticity and horizontal fluxes |
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| 229 | ! ----------------------------------------- |
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[455] | 230 | SELECT CASE( cd_vor ) ! vorticity considered |
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[503] | 231 | CASE ( 'COR' ) ; zwz(:,:) = ff(:,:) ! planetary vorticity (Coriolis) |
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| 232 | CASE ( 'VOR' ) ; zwz(:,:) = rotn(:,:,jk) ! relative vorticity |
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| 233 | CASE ( 'TOT' ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) ! total vorticity |
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[455] | 234 | END SELECT |
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| 235 | |
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| 236 | IF( ln_sco ) THEN |
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| 237 | zwz(:,:) = zwz(:,:) / fse3f(:,:,jk) |
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[3] | 238 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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| 239 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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| 240 | ELSE |
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| 241 | zwx(:,:) = e2u(:,:) * un(:,:,jk) |
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| 242 | zwy(:,:) = e1v(:,:) * vn(:,:,jk) |
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| 243 | ENDIF |
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| 244 | |
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| 245 | ! Compute and add the vorticity term trend |
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| 246 | ! ---------------------------------------- |
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| 247 | DO jj = 2, jpjm1 |
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| 248 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 249 | zy1 = zwy(ji,jj-1) + zwy(ji+1,jj-1) |
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| 250 | zy2 = zwy(ji,jj ) + zwy(ji+1,jj ) |
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| 251 | zx1 = zwx(ji-1,jj) + zwx(ji-1,jj+1) |
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| 252 | zx2 = zwx(ji ,jj) + zwx(ji ,jj+1) |
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[455] | 253 | 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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| 254 | 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] | 255 | END DO |
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| 256 | END DO |
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| 257 | ! ! =============== |
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| 258 | END DO ! End of slab |
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| 259 | ! ! =============== |
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[455] | 260 | END SUBROUTINE vor_ene |
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[216] | 261 | |
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| 262 | |
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[455] | 263 | SUBROUTINE vor_mix( kt ) |
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[3] | 264 | !!---------------------------------------------------------------------- |
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[455] | 265 | !! *** ROUTINE vor_mix *** |
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[3] | 266 | !! |
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| 267 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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| 268 | !! the general trend of the momentum equation. |
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| 269 | !! |
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| 270 | !! ** Method : Trend evaluated using now fields (centered in time) |
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| 271 | !! Mixte formulation : conserves the potential enstrophy of a hori- |
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| 272 | !! zontally non-divergent flow for (rotzu x uh), the relative vor- |
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| 273 | !! ticity term and the horizontal kinetic energy for (f x uh), the |
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| 274 | !! coriolis term. the now trend of the vorticity term is given by: |
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[455] | 275 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivatives: |
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[3] | 276 | !! voru = 1/e1u mj-1(rotn/e3f) mj-1[ mi(e1v*e3v vn) ] |
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| 277 | !! +1/e1u mj-1[ f/e3f mi(e1v*e3v vn) ] |
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| 278 | !! vorv = 1/e2v mi-1(rotn/e3f) mi-1[ mj(e2u*e3u un) ] |
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| 279 | !! +1/e2v mi-1[ f/e3f mj(e2u*e3u un) ] |
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| 280 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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| 281 | !! voru = 1/e1u mj-1(rotn) mj-1[ mi(e1v vn) ] |
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| 282 | !! +1/e1u mj-1[ f mi(e1v vn) ] |
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| 283 | !! vorv = 1/e2v mi-1(rotn) mi-1[ mj(e2u un) ] |
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| 284 | !! +1/e2v mi-1[ f mj(e2u un) ] |
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| 285 | !! Add this now trend to the general momentum trend (ua,va): |
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| 286 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
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| 287 | !! |
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| 288 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
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[503] | 289 | !! - Save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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[3] | 290 | !! and planetary vorticity trends) ('key_trddyn') |
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| 291 | !! |
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[503] | 292 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
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[3] | 293 | !!---------------------------------------------------------------------- |
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[503] | 294 | INTEGER, INTENT(in) :: kt ! ocean timestep index |
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| 295 | !! |
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| 296 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 297 | REAL(wp) :: zfact1, zua, zcua, zx1, zy1 ! temporary scalars |
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| 298 | REAL(wp) :: zfact2, zva, zcva, zx2, zy2 ! " " |
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| 299 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zwy, zwz, zww ! temporary 3D workspace |
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[3] | 300 | !!---------------------------------------------------------------------- |
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| 301 | |
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[52] | 302 | IF( kt == nit000 ) THEN |
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| 303 | IF(lwp) WRITE(numout,*) |
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[455] | 304 | IF(lwp) WRITE(numout,*) 'dyn:vor_mix : vorticity term: mixed energy/enstrophy conserving scheme' |
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| 305 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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[52] | 306 | ENDIF |
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[3] | 307 | |
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| 308 | ! Local constant initialization |
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| 309 | zfact1 = 0.5 * 0.25 |
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| 310 | zfact2 = 0.5 * 0.5 |
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| 311 | |
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[455] | 312 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz, zww ) |
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| 313 | !$OMP PARALLEL DO PRIVATE( zwx, zwy, zwz, zww ) |
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[3] | 314 | ! ! =============== |
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| 315 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 316 | ! ! =============== |
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| 317 | |
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| 318 | ! Relative and planetary potential vorticity and horizontal fluxes |
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| 319 | ! ---------------------------------------------------------------- |
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[455] | 320 | IF( ln_sco ) THEN |
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[3] | 321 | zwz(:,:) = ff (:,:) / fse3f(:,:,jk) |
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| 322 | zww(:,:) = rotn(:,:,jk) / fse3f(:,:,jk) |
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| 323 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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| 324 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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| 325 | ELSE |
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| 326 | zwz(:,:) = ff(:,:) |
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| 327 | zww(:,:) = rotn(:,:,jk) |
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| 328 | zwx(:,:) = e2u(:,:) * un(:,:,jk) |
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| 329 | zwy(:,:) = e1v(:,:) * vn(:,:,jk) |
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| 330 | ENDIF |
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| 331 | |
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| 332 | ! Compute and add the vorticity term trend |
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| 333 | ! ---------------------------------------- |
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| 334 | DO jj = 2, jpjm1 |
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| 335 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 336 | zy1 = ( zwy(ji,jj-1) + zwy(ji+1,jj-1) ) / e1u(ji,jj) |
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| 337 | zy2 = ( zwy(ji,jj ) + zwy(ji+1,jj ) ) / e1u(ji,jj) |
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| 338 | zx1 = ( zwx(ji-1,jj) + zwx(ji-1,jj+1) ) / e2v(ji,jj) |
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| 339 | zx2 = ( zwx(ji ,jj) + zwx(ji ,jj+1) ) / e2v(ji,jj) |
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| 340 | ! enstrophy conserving formulation for relative vorticity term |
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| 341 | zua = zfact1 * ( zww(ji ,jj-1) + zww(ji,jj) ) * ( zy1 + zy2 ) |
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| 342 | zva =-zfact1 * ( zww(ji-1,jj ) + zww(ji,jj) ) * ( zx1 + zx2 ) |
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| 343 | ! energy conserving formulation for planetary vorticity term |
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| 344 | zcua = zfact2 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
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| 345 | zcva =-zfact2 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
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[503] | 346 | ! mixed vorticity trend added to the momentum trends |
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[3] | 347 | ua(ji,jj,jk) = ua(ji,jj,jk) + zcua + zua |
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| 348 | va(ji,jj,jk) = va(ji,jj,jk) + zcva + zva |
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| 349 | END DO |
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| 350 | END DO |
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| 351 | ! ! =============== |
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| 352 | END DO ! End of slab |
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| 353 | ! ! =============== |
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[455] | 354 | END SUBROUTINE vor_mix |
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[216] | 355 | |
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| 356 | |
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[455] | 357 | SUBROUTINE vor_ens( kt, cd_vor, pua, pva ) |
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[3] | 358 | !!---------------------------------------------------------------------- |
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[455] | 359 | !! *** ROUTINE vor_ens *** |
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[3] | 360 | !! |
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| 361 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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| 362 | !! the general trend of the momentum equation. |
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| 363 | !! |
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| 364 | !! ** Method : Trend evaluated using now fields (centered in time) |
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| 365 | !! and the Sadourny (1975) flux FORM formulation : conserves the |
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| 366 | !! potential enstrophy of a horizontally non-divergent flow. the |
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| 367 | !! trend of the vorticity term is given by: |
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[455] | 368 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivative: |
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[3] | 369 | !! voru = 1/e1u mj-1[ (rotn+f)/e3f ] mj-1[ mi(e1v*e3v vn) ] |
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| 370 | !! vorv = 1/e2v mi-1[ (rotn+f)/e3f ] mi-1[ mj(e2u*e3u un) ] |
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| 371 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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| 372 | !! voru = 1/e1u mj-1[ rotn+f ] mj-1[ mi(e1v vn) ] |
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| 373 | !! vorv = 1/e2v mi-1[ rotn+f ] mi-1[ mj(e2u un) ] |
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| 374 | !! Add this trend to the general momentum trend (ua,va): |
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| 375 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
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| 376 | !! |
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| 377 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
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[503] | 378 | !! - Save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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[3] | 379 | !! and planetary vorticity trends) ('key_trddyn') |
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| 380 | !! |
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[503] | 381 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
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[3] | 382 | !!---------------------------------------------------------------------- |
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[503] | 383 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 384 | CHARACTER(len=3) , INTENT(in ) :: cd_vor ! ='COR' (planetary) ; ='VOR' (relative) |
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| 385 | ! ! ='TOT' (total) |
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| 386 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua ! total u-trend |
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| 387 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva ! total v-trend |
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| 388 | !! |
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| 389 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 390 | REAL(wp) :: zfact1, zuav, zvau ! temporary scalars |
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| 391 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zwy, zwz ! temporary 3D workspace |
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[3] | 392 | !!---------------------------------------------------------------------- |
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| 393 | |
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[52] | 394 | IF( kt == nit000 ) THEN |
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| 395 | IF(lwp) WRITE(numout,*) |
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[455] | 396 | IF(lwp) WRITE(numout,*) 'dyn:vor_ens : vorticity term: enstrophy conserving scheme' |
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| 397 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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[52] | 398 | ENDIF |
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[3] | 399 | |
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| 400 | ! Local constant initialization |
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| 401 | zfact1 = 0.5 * 0.25 |
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| 402 | |
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[455] | 403 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz ) |
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| 404 | !$OMP PARALLEL DO PRIVATE( zwx, zwy, zwz ) |
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[3] | 405 | ! ! =============== |
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| 406 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 407 | ! ! =============== |
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| 408 | ! Potential vorticity and horizontal fluxes |
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| 409 | ! ----------------------------------------- |
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[455] | 410 | SELECT CASE( cd_vor ) ! vorticity considered |
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[503] | 411 | CASE ( 'COR' ) ; zwz(:,:) = ff(:,:) ! planetary vorticity (Coriolis) |
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| 412 | CASE ( 'VOR' ) ; zwz(:,:) = rotn(:,:,jk) ! relative vorticity |
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| 413 | CASE ( 'TOT' ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) ! total vorticity |
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[455] | 414 | END SELECT |
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| 415 | |
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| 416 | IF( ln_sco ) THEN |
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[3] | 417 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
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| 418 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
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[455] | 419 | zwz(ji,jj) = zwz(ji,jj) / fse3f(ji,jj,jk) |
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| 420 | zwx(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) * un(ji,jj,jk) |
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| 421 | zwy(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) * vn(ji,jj,jk) |
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[3] | 422 | END DO |
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| 423 | END DO |
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| 424 | ELSE |
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| 425 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
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| 426 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
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[455] | 427 | zwx(ji,jj) = e2u(ji,jj) * un(ji,jj,jk) |
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| 428 | zwy(ji,jj) = e1v(ji,jj) * vn(ji,jj,jk) |
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[3] | 429 | END DO |
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| 430 | END DO |
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| 431 | ENDIF |
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| 432 | |
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| 433 | ! Compute and add the vorticity term trend |
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| 434 | ! ---------------------------------------- |
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| 435 | DO jj = 2, jpjm1 |
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| 436 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[455] | 437 | zuav = zfact1 / e1u(ji,jj) * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
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[503] | 438 | & + zwy(ji ,jj ) + zwy(ji+1,jj ) ) |
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[455] | 439 | zvau =-zfact1 / e2v(ji,jj) * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
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[503] | 440 | & + zwx(ji ,jj ) + zwx(ji ,jj+1) ) |
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[455] | 441 | pua(ji,jj,jk) = pua(ji,jj,jk) + zuav * ( zwz(ji ,jj-1) + zwz(ji,jj) ) |
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| 442 | pva(ji,jj,jk) = pva(ji,jj,jk) + zvau * ( zwz(ji-1,jj ) + zwz(ji,jj) ) |
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[3] | 443 | END DO |
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| 444 | END DO |
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| 445 | ! ! =============== |
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| 446 | END DO ! End of slab |
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| 447 | ! ! =============== |
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[455] | 448 | END SUBROUTINE vor_ens |
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[216] | 449 | |
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| 450 | |
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[455] | 451 | SUBROUTINE vor_een( kt, cd_vor, pua, pva ) |
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[108] | 452 | !!---------------------------------------------------------------------- |
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[455] | 453 | !! *** ROUTINE vor_een *** |
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[108] | 454 | !! |
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| 455 | !! ** Purpose : Compute the now total vorticity trend and add it to |
---|
| 456 | !! the general trend of the momentum equation. |
---|
| 457 | !! |
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| 458 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
| 459 | !! and the Arakawa and Lamb (19XX) flux form formulation : conserves |
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| 460 | !! both the horizontal kinetic energy and the potential enstrophy |
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| 461 | !! when horizontal divergence is zero. |
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| 462 | !! The trend of the vorticity term is given by: |
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[455] | 463 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivatives: |
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[108] | 464 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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| 465 | !! Add this trend to the general momentum trend (ua,va): |
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| 466 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
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| 467 | !! |
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| 468 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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[503] | 469 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
---|
[108] | 470 | !! and planetary vorticity trends) ('key_trddyn') |
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| 471 | !! |
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[503] | 472 | !! References : Arakawa and Lamb 1980, Mon. Wea. Rev., 109, 18-36 |
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| 473 | !!---------------------------------------------------------------------- |
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| 474 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 475 | CHARACTER(len=3) , INTENT(in ) :: cd_vor ! ='COR' (planetary) ; ='VOR' (relative) |
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| 476 | ! ! ='TOT' (total) |
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| 477 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua ! total u-trend |
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| 478 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva ! total v-trend |
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[218] | 479 | !! |
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[503] | 480 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 481 | REAL(wp) :: zfac12, zua, zva ! temporary scalars |
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| 482 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zwy, zwz ! temporary 2D workspace |
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| 483 | REAL(wp), DIMENSION(jpi,jpj) :: ztnw, ztne, ztsw, ztse ! temporary 3D workspace |
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| 484 | REAL(wp), DIMENSION(jpi,jpj,jpk), SAVE :: ze3f |
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[108] | 485 | !!---------------------------------------------------------------------- |
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| 486 | |
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| 487 | IF( kt == nit000 ) THEN |
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| 488 | IF(lwp) WRITE(numout,*) |
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[455] | 489 | IF(lwp) WRITE(numout,*) 'dyn:vor_een : vorticity term: energy and enstrophy conserving scheme' |
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| 490 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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[108] | 491 | |
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| 492 | DO jk = 1, jpk |
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| 493 | DO jj = 1, jpjm1 |
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| 494 | DO ji = 1, jpim1 |
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| 495 | 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) & |
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| 496 | & + fse3t(ji,jj ,jk)*tmask(ji,jj ,jk) + fse3t(ji+1,jj ,jk)*tmask(ji+1,jj ,jk) ) * 0.25 |
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| 497 | IF( ze3f(ji,jj,jk) /= 0.e0 ) ze3f(ji,jj,jk) = 1.e0 / ze3f(ji,jj,jk) |
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| 498 | END DO |
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| 499 | END DO |
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| 500 | END DO |
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| 501 | CALL lbc_lnk( ze3f, 'F', 1. ) |
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| 502 | ENDIF |
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| 503 | |
---|
| 504 | ! Local constant initialization |
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| 505 | zfac12 = 1.e0 / 12.e0 |
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[216] | 506 | |
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[108] | 507 | |
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[455] | 508 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz, ztnw, ztne, ztsw, ztse ) |
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| 509 | !$OMP PARALLEL DO PRIVATE( zwx, zwy, zwz, ztnw, ztne, ztsw, ztse ) |
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[108] | 510 | ! ! =============== |
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| 511 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 512 | ! ! =============== |
---|
| 513 | |
---|
| 514 | ! Potential vorticity and horizontal fluxes |
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| 515 | ! ----------------------------------------- |
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[455] | 516 | SELECT CASE( cd_vor ) ! vorticity considered |
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[503] | 517 | CASE ( 'COR' ) ; zwz(:,:) = ff(:,:) * ze3f(:,:,jk) ! planetary vorticity (Coriolis) |
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| 518 | CASE ( 'VOR' ) ; zwz(:,:) = rotn(:,:,jk) * ze3f(:,:,jk) ! relative vorticity |
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| 519 | CASE ( 'TOT' ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) * ze3f(:,:,jk) ! total vorticity |
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[455] | 520 | END SELECT |
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| 521 | |
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[108] | 522 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
---|
| 523 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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| 524 | |
---|
| 525 | ! Compute and add the vorticity term trend |
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| 526 | ! ---------------------------------------- |
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| 527 | jj=2 |
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| 528 | ztne(1,:) = 0 ; ztnw(1,:) = 0 ; ztse(1,:) = 0 ; ztsw(1,:) = 0 |
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| 529 | DO ji = 2, jpi |
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| 530 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
| 531 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
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| 532 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
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| 533 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
| 534 | END DO |
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| 535 | DO jj = 3, jpj |
---|
| 536 | DO ji = fs_2, jpi ! vector opt. |
---|
| 537 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
| 538 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
| 539 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
| 540 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
| 541 | END DO |
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| 542 | END DO |
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| 543 | DO jj = 2, jpjm1 |
---|
| 544 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 545 | zua = + zfac12 / e1u(ji,jj) * ( ztne(ji,jj ) * zwy(ji ,jj ) + ztnw(ji+1,jj) * zwy(ji+1,jj ) & |
---|
| 546 | & + ztse(ji,jj ) * zwy(ji ,jj-1) + ztsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
---|
| 547 | zva = - zfac12 / e2v(ji,jj) * ( ztsw(ji,jj+1) * zwx(ji-1,jj+1) + ztse(ji,jj+1) * zwx(ji ,jj+1) & |
---|
| 548 | & + ztnw(ji,jj ) * zwx(ji-1,jj ) + ztne(ji,jj ) * zwx(ji ,jj ) ) |
---|
[455] | 549 | pua(ji,jj,jk) = pua(ji,jj,jk) + zua |
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| 550 | pva(ji,jj,jk) = pva(ji,jj,jk) + zva |
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[108] | 551 | END DO |
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| 552 | END DO |
---|
| 553 | ! ! =============== |
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| 554 | END DO ! End of slab |
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| 555 | ! ! =============== |
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[455] | 556 | END SUBROUTINE vor_een |
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[216] | 557 | |
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| 558 | |
---|
[455] | 559 | SUBROUTINE vor_ctl |
---|
[3] | 560 | !!--------------------------------------------------------------------- |
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[455] | 561 | !! *** ROUTINE vor_ctl *** |
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[3] | 562 | !! |
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| 563 | !! ** Purpose : Control the consistency between cpp options for |
---|
| 564 | !! tracer advection schemes |
---|
| 565 | !!---------------------------------------------------------------------- |
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[418] | 566 | INTEGER :: ioptio ! temporary integer |
---|
[3] | 567 | !!---------------------------------------------------------------------- |
---|
| 568 | |
---|
[503] | 569 | REWIND ( numnam ) ! Read Namelist nam_dynvor : Vorticity scheme options |
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[3] | 570 | READ ( numnam, nam_dynvor ) |
---|
| 571 | |
---|
[503] | 572 | IF(lwp) THEN ! Namelist print |
---|
[3] | 573 | WRITE(numout,*) |
---|
[455] | 574 | WRITE(numout,*) 'dyn:vor_ctl : vorticity term : read namelist and control the consistency' |
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[52] | 575 | WRITE(numout,*) '~~~~~~~~~~~' |
---|
[503] | 576 | WRITE(numout,*) ' Namelist nam_dynvor : oice of the vorticity term scheme' |
---|
| 577 | WRITE(numout,*) ' energy conserving scheme ln_dynvor_ene = ', ln_dynvor_ene |
---|
| 578 | WRITE(numout,*) ' enstrophy conserving scheme ln_dynvor_ens = ', ln_dynvor_ens |
---|
| 579 | WRITE(numout,*) ' mixed enstrophy/energy conserving scheme ln_dynvor_mix = ', ln_dynvor_mix |
---|
| 580 | WRITE(numout,*) ' enstrophy and energy conserving scheme ln_dynvor_een = ', ln_dynvor_een |
---|
[52] | 581 | ENDIF |
---|
| 582 | |
---|
[503] | 583 | ioptio = 0 ! Control of vorticity scheme options |
---|
| 584 | IF( ln_dynvor_ene ) ioptio = ioptio + 1 |
---|
| 585 | IF( ln_dynvor_ens ) ioptio = ioptio + 1 |
---|
| 586 | IF( ln_dynvor_mix ) ioptio = ioptio + 1 |
---|
| 587 | IF( ln_dynvor_een ) ioptio = ioptio + 1 |
---|
| 588 | IF( lk_esopa ) ioptio = 1 |
---|
| 589 | |
---|
| 590 | IF( ioptio /= 1 ) CALL ctl_stop( ' use ONE and ONLY one vorticity scheme' ) |
---|
| 591 | |
---|
| 592 | ! ! Set nvor |
---|
| 593 | IF( ln_dynvor_ene ) nvor = 0 |
---|
| 594 | IF( ln_dynvor_ens ) nvor = 1 |
---|
| 595 | IF( ln_dynvor_mix ) nvor = 2 |
---|
| 596 | IF( ln_dynvor_een ) nvor = 3 |
---|
| 597 | IF( lk_esopa ) nvor = -1 |
---|
| 598 | |
---|
| 599 | IF(lwp) THEN ! Print the choice |
---|
| 600 | WRITE(numout,*) |
---|
| 601 | IF( nvor == 0 ) WRITE(numout,*) ' vorticity term used : energy conserving scheme' |
---|
| 602 | IF( nvor == 1 ) WRITE(numout,*) ' vorticity term used : enstrophy conserving scheme' |
---|
| 603 | IF( nvor == 2 ) WRITE(numout,*) ' vorticity term used : mixed enstrophy/energy conserving scheme' |
---|
| 604 | IF( nvor == 3 ) WRITE(numout,*) ' vorticity term used : energy and enstrophy conserving scheme' |
---|
| 605 | IF( nvor == -1 ) WRITE(numout,*) ' esopa test: use all lateral physics options' |
---|
[3] | 606 | ENDIF |
---|
[503] | 607 | ! |
---|
[455] | 608 | END SUBROUTINE vor_ctl |
---|
[3] | 609 | |
---|
[503] | 610 | !!============================================================================== |
---|
[3] | 611 | END MODULE dynvor |
---|