[3611] | 1 | MODULE dynvor_tam |
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| 2 | #if defined key_tam |
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| 3 | !!====================================================================== |
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| 4 | !! *** MODULE dynvor_tam *** |
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| 5 | !! Ocean dynamics: Update the momentum trend with the relative and |
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| 6 | !! planetary vorticity trends |
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| 7 | !! Tangent and Adjoint Module |
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| 8 | !!====================================================================== |
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| 9 | !! History of the drect module: |
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| 10 | !! History : OPA ! 1989-12 (P. Andrich) vor_ens: Original code |
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| 11 | !! 5.0 ! 1991-11 (G. Madec) vor_ene, vor_mix: Original code |
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| 12 | !! 6.0 ! 1996-01 (G. Madec) s-coord, suppress work arrays |
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| 13 | !! 8.5 ! 2002-08 (G. Madec) F90: Free form and module |
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| 14 | !! NEMO 1.0 ! 2004-02 (G. Madec) vor_een: Original code |
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| 15 | !! - ! 2003-08 (G. Madec) add vor_ctl |
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| 16 | !! - ! 2005-11 (G. Madec) add dyn_vor (new step architecture) |
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| 17 | !! 2.0 ! 2006-11 (G. Madec) flux form advection: add metric term |
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| 18 | !! 3.2 ! 2009-04 (R. Benshila) vvl: correction of een scheme |
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| 19 | !! History of the TAM module: |
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| 20 | !! 9.0 ! 2008-06 (A. Vidard) Skeleton |
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| 21 | !! 9.0 ! 2009-01 (A. Vidard) TAM of the 06-11 version |
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| 22 | !! 9.0 ! 2010-01 (F. Vigilant) Add een TAM option |
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| 23 | !! NEMO 3.2 ! 2010-04 (F. Vigilant) 3.2 version |
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| 24 | !! NEMO 3.4 ! 2012-07 (P.-A. Bouttier) 3.4 version |
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| 25 | !!---------------------------------------------------------------------- |
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| 26 | |
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| 27 | !!---------------------------------------------------------------------- |
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| 28 | !! dyn_vor : Update the momentum trend with the vorticity trend |
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| 29 | !! vor_ens : enstrophy conserving scheme (ln_dynvor_ens=T) |
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| 30 | !! vor_ene : energy conserving scheme (ln_dynvor_ene=T) |
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| 31 | !! vor_mix : mixed enstrophy/energy conserving (ln_dynvor_mix=T) |
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| 32 | !! vor_een : energy and enstrophy conserving (ln_dynvor_een=T) |
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| 33 | !! vor_ctl : set and control of the different vorticity option |
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| 34 | !!---------------------------------------------------------------------- |
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| 35 | USE par_oce |
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| 36 | USE oce |
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| 37 | USE oce_tam |
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| 38 | USE divcur |
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| 39 | USE divcur_tam |
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| 40 | USE dom_oce |
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| 41 | USE dynadv |
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| 42 | USE lbclnk |
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| 43 | USE lbclnk_tam |
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| 44 | USE in_out_manager |
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| 45 | USE gridrandom |
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| 46 | USE dotprodfld |
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| 47 | USE tstool_tam |
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| 48 | USE dommsk |
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| 49 | USE lib_mpp |
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| 50 | USE wrk_nemo |
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| 51 | USE timing |
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| 52 | |
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| 53 | IMPLICIT NONE |
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| 54 | PRIVATE |
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| 55 | |
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| 56 | PUBLIC dyn_vor_init_tam |
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| 57 | PUBLIC dyn_vor_tan ! routine called by step_tam.F90 |
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| 58 | PUBLIC dyn_vor_adj ! routine called by step_tam.F90 |
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| 59 | PUBLIC dyn_vor_adj_tst ! routine called by the tst.F90 |
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| 60 | |
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| 61 | |
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| 62 | !!* Namelist nam_dynvor: vorticity term |
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| 63 | LOGICAL, PUBLIC :: ln_dynvor_ene = .FALSE. !: energy conserving scheme |
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| 64 | LOGICAL, PUBLIC :: ln_dynvor_ens = .TRUE. !: enstrophy conserving scheme |
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| 65 | LOGICAL, PUBLIC :: ln_dynvor_mix = .FALSE. !: mixed scheme |
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| 66 | LOGICAL, PUBLIC :: ln_dynvor_een = .FALSE. !: energy and enstrophy conserving scheme |
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| 67 | |
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| 68 | INTEGER :: nvor = 0 ! type of vorticity trend used |
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| 69 | INTEGER :: ncor = 1 ! coriolis |
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| 70 | INTEGER :: nrvm = 2 ! =2 relative vorticity ; =3 metric term |
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| 71 | INTEGER :: ntot = 4 ! =4 total vorticity (relative + planetary) ; =5 coriolis + metric term |
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| 72 | |
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| 73 | !! * Substitutions |
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| 74 | # include "domzgr_substitute.h90" |
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| 75 | # include "vectopt_loop_substitute.h90" |
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| 76 | |
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| 77 | CONTAINS |
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| 78 | |
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| 79 | SUBROUTINE dyn_vor_tan( kt ) |
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| 80 | !!---------------------------------------------------------------------- |
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| 81 | !! |
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| 82 | !! ** Purpose of the direct routine: |
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| 83 | !! compute the lateral ocean tracer physics. |
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| 84 | !! |
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| 85 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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| 86 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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| 87 | !! and planetary vorticity trends) ('key_trddyn') |
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| 88 | !!---------------------------------------------------------------------- |
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| 89 | !! |
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| 90 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 91 | !!---------------------------------------------------------------------- |
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| 92 | ! |
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| 93 | IF( nn_timing == 1 ) CALL timing_start('dyn_vor_tan') |
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| 94 | ! |
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| 95 | !! ! vorticity term |
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| 96 | SELECT CASE ( nvor ) ! compute the vorticity trend and add it to the general trend |
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| 97 | ! |
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| 98 | CASE ( -1 ) ! esopa: test all possibility with control print |
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| 99 | CALL vor_ene_tan( kt, ntot, ua_tl, va_tl ) |
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| 100 | CALL vor_ens_tan( kt, ntot, ua_tl, va_tl ) |
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| 101 | CALL vor_mix_tan( kt ) |
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| 102 | CALL vor_een_tan( kt, ntot, ua_tl, va_tl ) |
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| 103 | ! |
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| 104 | CASE ( 0 ) ! energy conserving scheme |
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| 105 | CALL vor_ene_tan( kt, ntot, ua_tl, va_tl ) ! total vorticity |
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| 106 | ! |
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| 107 | CASE ( 1 ) ! enstrophy conserving scheme |
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| 108 | CALL vor_ens_tan( kt, ntot, ua_tl, va_tl ) ! total vorticity |
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| 109 | ! |
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| 110 | CASE ( 2 ) ! mixed ene-ens scheme |
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| 111 | CALL vor_mix_tan( kt ) ! total vorticity (mix=ens-ene) |
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| 112 | ! |
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| 113 | CASE ( 3 ) ! energy and enstrophy conserving scheme |
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| 114 | CALL vor_een_tan( kt, ntot, ua_tl, va_tl ) ! total vorticity |
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| 115 | ! |
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| 116 | END SELECT |
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| 117 | ! |
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| 118 | IF( nn_timing == 1 ) CALL timing_stop('dyn_vor_tan') |
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| 119 | ! |
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| 120 | END SUBROUTINE dyn_vor_tan |
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| 121 | SUBROUTINE vor_ene_tan( kt, kvor, pua_tl, pva_tl ) |
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| 122 | !!---------------------------------------------------------------------- |
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| 123 | !! *** ROUTINE vor_ene *** |
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| 124 | !! |
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| 125 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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| 126 | !! the general trend of the momentum equation. |
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| 127 | !! |
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| 128 | !! ** Method : Trend evaluated using now fields (centered in time) |
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| 129 | !! and the Sadourny (1975) flux form formulation : conserves the |
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| 130 | !! horizontal kinetic energy. |
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| 131 | !! The trend of the vorticity term is given by: |
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| 132 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivatives: |
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| 133 | !! voru = 1/e1u mj-1[ (rotn+f)/e3f mi(e1v*e3v vn) ] |
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| 134 | !! vorv = 1/e2v mi-1[ (rotn+f)/e3f mj(e2u*e3u un) ] |
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| 135 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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| 136 | !! voru = 1/e1u mj-1[ (rotn+f) mi(e1v vn) ] |
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| 137 | !! vorv = 1/e2v mi-1[ (rotn+f) mj(e2u un) ] |
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| 138 | !! Add this trend to the general momentum trend (ua,va): |
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| 139 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
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| 140 | !! |
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| 141 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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| 142 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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| 143 | !! and planetary vorticity trends) ('key_trddyn') |
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| 144 | !! |
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| 145 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
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| 146 | !!---------------------------------------------------------------------- |
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| 147 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 148 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
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| 149 | ! ! =nrvm (relative vorticity or metric) |
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| 150 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua_tl ! total u-trend |
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| 151 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva_tl ! total v-trend |
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| 152 | !! |
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| 153 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 154 | REAL(wp) :: zx1, zy1, zfact2 ! temporary scalars |
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| 155 | REAL(wp) :: zx1tl, zy1tl ! temporary scalars |
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| 156 | REAL(wp) :: zx2, zy2 ! " " |
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| 157 | REAL(wp) :: zx2tl, zy2tl ! " " |
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| 158 | REAL(wp), POINTER, DIMENSION(:,:) :: zwx, zwy, zwz ! temporary 2D workspace |
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| 159 | REAL(wp), POINTER, DIMENSION(:,:) :: zwxtl, zwytl, zwztl ! temporary 2D workspace |
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| 160 | !!---------------------------------------------------------------------- |
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| 161 | ! |
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| 162 | IF( nn_timing == 1 ) CALL timing_start('vor_ene_tan') |
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| 163 | ! |
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| 164 | CALL wrk_alloc( jpi, jpj, zwx, zwy, zwz ) |
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| 165 | CALL wrk_alloc( jpi, jpj, zwxtl, zwytl, zwztl ) |
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| 166 | ! |
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| 167 | IF( kt == nit000 ) THEN |
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| 168 | IF(lwp) WRITE(numout,*) |
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| 169 | IF(lwp) WRITE(numout,*) 'dyn:vor_ene_tan : vorticity term: energy conserving scheme' |
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| 170 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 171 | ENDIF |
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| 172 | |
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| 173 | zfact2 = 0.5 * 0.5 ! Local constant initialization |
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| 174 | |
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| 175 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz ) |
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| 176 | ! ! =============== |
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| 177 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 178 | ! ! =============== |
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| 179 | ! |
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| 180 | ! Potential vorticity and horizontal fluxes |
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| 181 | ! ----------------------------------------- |
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| 182 | SELECT CASE( kvor ) ! vorticity considered |
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| 183 | CASE ( 1 ) ; zwz(:,:) = ff(:,:) ; zwztl(:,:) = 0. |
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| 184 | CASE ( 2 ) ; zwz(:,:) = rotn(:,:,jk) ; zwztl(:,:) = rotn_tl(:,:,jk) ! relative vorticity |
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| 185 | CASE ( 3 ) ! metric term |
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| 186 | DO jj = 1, jpjm1 |
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| 187 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 188 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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| 189 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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| 190 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
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| 191 | zwztl(ji,jj) = ( ( vn_tl(ji+1,jj ,jk) + vn_tl (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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| 192 | & - ( un_tl(ji ,jj+1,jk) + un_tl (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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| 193 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
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| 194 | END DO |
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| 195 | END DO |
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| 196 | CASE ( 4 ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) ; zwztl(:,:) = rotn_tl(:,:,jk) ! total (relative + planetary vorticity) |
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| 197 | CASE ( 5 ) ! total (coriolis + metric) |
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| 198 | DO jj = 1, jpjm1 |
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| 199 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 200 | zwz(ji,jj) = ( ff (ji,jj) & |
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| 201 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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| 202 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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| 203 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
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| 204 | & ) |
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| 205 | zwztl(ji,jj) = ( ( vn_tl(ji+1,jj ,jk) + vn_tl (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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| 206 | & - ( un_tl(ji ,jj+1,jk) + un_tl (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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| 207 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
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| 208 | END DO |
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| 209 | END DO |
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| 210 | END SELECT |
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| 211 | |
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| 212 | IF( ln_sco ) THEN |
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| 213 | zwz(:,:) = zwz(:,:) / fse3f(:,:,jk) |
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| 214 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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| 215 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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| 216 | zwztl(:,:) = zwztl(:,:) / fse3f(:,:,jk) |
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| 217 | zwxtl(:,:) = e2u(:,:) * fse3u(:,:,jk) * un_tl(:,:,jk) |
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| 218 | zwytl(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn_tl(:,:,jk) |
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| 219 | ELSE |
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| 220 | zwx(:,:) = e2u(:,:) * un(:,:,jk) |
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| 221 | zwy(:,:) = e1v(:,:) * vn(:,:,jk) |
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| 222 | zwxtl(:,:) = e2u(:,:) * un_tl(:,:,jk) |
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| 223 | zwytl(:,:) = e1v(:,:) * vn_tl(:,:,jk) |
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| 224 | ENDIF |
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| 225 | |
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| 226 | ! Compute and add the vorticity term trend |
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| 227 | ! ---------------------------------------- |
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| 228 | DO jj = 2, jpjm1 |
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| 229 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 230 | zy1 = zwy(ji,jj-1) + zwy(ji+1,jj-1) |
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| 231 | zy2 = zwy(ji,jj ) + zwy(ji+1,jj ) |
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| 232 | zx1 = zwx(ji-1,jj) + zwx(ji-1,jj+1) |
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| 233 | zx2 = zwx(ji ,jj) + zwx(ji ,jj+1) |
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| 234 | zy1tl = zwytl(ji,jj-1) + zwytl(ji+1,jj-1) |
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| 235 | zy2tl = zwytl(ji,jj ) + zwytl(ji+1,jj ) |
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| 236 | zx1tl = zwxtl(ji-1,jj) + zwxtl(ji-1,jj+1) |
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| 237 | zx2tl = zwxtl(ji ,jj) + zwxtl(ji ,jj+1) |
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[3627] | 238 | pua_tl(ji,jj,jk) = pua_tl(ji,jj,jk) + zfact2 / e1u(ji,jj) * ( zwztl(ji ,jj-1) * zy1 + zwztl(ji,jj) * zy2 ) & |
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| 239 | & + zfact2 / e1u(ji,jj) * ( zwz(ji ,jj-1) * zy1tl + zwz(ji,jj) * zy2tl ) |
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| 240 | pva_tl(ji,jj,jk) = pva_tl(ji,jj,jk) - zfact2 / e2v(ji,jj) * ( zwztl(ji-1,jj ) * zx1 + zwztl(ji,jj) * zx2 ) & |
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| 241 | & - zfact2 / e2v(ji,jj) * ( zwz(ji-1,jj ) * zx1tl + zwz(ji,jj) * zx2tl ) |
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[3611] | 242 | END DO |
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| 243 | END DO |
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| 244 | ! ! =============== |
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| 245 | END DO ! End of slab |
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| 246 | ! ! =============== |
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| 247 | CALL wrk_dealloc( jpi, jpj, zwx, zwy, zwz ) |
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| 248 | CALL wrk_dealloc( jpi, jpj, zwxtl, zwytl, zwztl ) |
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| 249 | ! |
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| 250 | IF( nn_timing == 1 ) CALL timing_stop('vor_ene_tan') |
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| 251 | ! |
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| 252 | END SUBROUTINE vor_ene_tan |
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| 253 | |
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| 254 | |
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| 255 | SUBROUTINE vor_mix_tan( kt ) |
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| 256 | !!---------------------------------------------------------------------- |
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| 257 | !! *** ROUTINE vor_mix *** |
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| 258 | !! |
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| 259 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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| 260 | !! the general trend of the momentum equation. |
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| 261 | !! |
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| 262 | !! ** Method : Trend evaluated using now fields (centered in time) |
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| 263 | !! Mixte formulation : conserves the potential enstrophy of a hori- |
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| 264 | !! zontally non-divergent flow for (rotzu x uh), the relative vor- |
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| 265 | !! ticity term and the horizontal kinetic energy for (f x uh), the |
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| 266 | !! coriolis term. the now trend of the vorticity term is given by: |
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| 267 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivatives: |
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| 268 | !! voru = 1/e1u mj-1(rotn/e3f) mj-1[ mi(e1v*e3v vn) ] |
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| 269 | !! +1/e1u mj-1[ f/e3f mi(e1v*e3v vn) ] |
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| 270 | !! vorv = 1/e2v mi-1(rotn/e3f) mi-1[ mj(e2u*e3u un) ] |
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| 271 | !! +1/e2v mi-1[ f/e3f mj(e2u*e3u un) ] |
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| 272 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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| 273 | !! voru = 1/e1u mj-1(rotn) mj-1[ mi(e1v vn) ] |
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| 274 | !! +1/e1u mj-1[ f mi(e1v vn) ] |
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| 275 | !! vorv = 1/e2v mi-1(rotn) mi-1[ mj(e2u un) ] |
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| 276 | !! +1/e2v mi-1[ f mj(e2u un) ] |
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| 277 | !! Add this now trend to the general momentum trend (ua,va): |
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| 278 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
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| 279 | !! |
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| 280 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
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| 281 | !! - Save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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| 282 | !! and planetary vorticity trends) ('key_trddyn') |
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| 283 | !! |
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| 284 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
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| 285 | !!---------------------------------------------------------------------- |
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| 286 | INTEGER, INTENT(in) :: kt ! ocean timestep index |
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| 287 | !! |
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| 288 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 289 | REAL(wp) :: zfact1, zua, zcua, zx1, zy1 ! temporary scalars |
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| 290 | REAL(wp) :: zfact2, zva, zcva, zx2, zy2 ! " " |
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| 291 | REAL(wp) :: zuatl, zcuatl, zx1tl, zy1tl ! temporary scalars |
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| 292 | REAL(wp) :: zvatl, zcvatl, zx2tl, zy2tl ! " " |
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| 293 | REAL(wp), POINTER, DIMENSION(:,:) :: zwxtl, zwytl, zwztl, zwwtl ! temporary 3D workspace |
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| 294 | REAL(wp), POINTER, DIMENSION(:,:) :: zwx, zwy, zwz, zww ! temporary 3D workspace |
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| 295 | !!---------------------------------------------------------------------- |
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| 296 | ! |
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| 297 | IF( nn_timing == 1 ) CALL timing_start('vor_mix_tan') |
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| 298 | ! |
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| 299 | CALL wrk_alloc( jpi, jpj, zwx, zwy, zwz, zww ) |
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| 300 | CALL wrk_alloc( jpi, jpj, zwxtl, zwytl, zwztl, zwwtl ) |
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| 301 | ! |
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| 302 | IF( kt == nit000 ) THEN |
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| 303 | IF(lwp) WRITE(numout,*) |
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| 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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| 306 | ENDIF |
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| 307 | |
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| 308 | zfact1 = 0.5 * 0.25 ! Local constant initialization |
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| 309 | zfact2 = 0.5 * 0.5 |
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| 310 | |
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| 311 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz, zww ) |
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| 312 | ! ! =============== |
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| 313 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 314 | ! ! =============== |
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| 315 | ! |
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| 316 | ! Relative and planetary potential vorticity and horizontal fluxes |
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| 317 | ! ---------------------------------------------------------------- |
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| 318 | IF( ln_sco ) THEN |
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| 319 | IF( ln_dynadv_vec ) THEN |
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| 320 | zww(:,:) = rotn(:,:,jk) / fse3f(:,:,jk) |
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| 321 | zwwtl(:,:) = rotn_tl(:,:,jk) / fse3f(:,:,jk) |
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| 322 | ELSE |
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| 323 | DO jj = 1, jpjm1 |
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| 324 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 325 | zww(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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| 326 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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| 327 | & * 0.5 / ( e1f(ji,jj) * e2f (ji,jj) * fse3f(ji,jj,jk) ) |
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| 328 | zwwtl(ji,jj) = ( ( vn_tl(ji+1,jj ,jk) + vn_tl (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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| 329 | & - ( un_tl(ji ,jj+1,jk) + un_tl (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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| 330 | & * 0.5 / ( e1f(ji,jj) * e2f (ji,jj) * fse3f(ji,jj,jk) ) |
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| 331 | END DO |
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| 332 | END DO |
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| 333 | ENDIF |
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| 334 | zwz(:,:) = ff (:,:) / fse3f(:,:,jk) |
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| 335 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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| 336 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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| 337 | zwztl(:,:) = 0._wp |
---|
| 338 | zwxtl(:,:) = e2u(:,:) * fse3u(:,:,jk) * un_tl(:,:,jk) |
---|
| 339 | zwytl(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn_tl(:,:,jk) |
---|
| 340 | ELSE |
---|
| 341 | IF( ln_dynadv_vec ) THEN |
---|
| 342 | zww(:,:) = rotn(:,:,jk) |
---|
| 343 | zwwtl(:,:) = rotn_tl(:,:,jk) |
---|
| 344 | ELSE |
---|
| 345 | DO jj = 1, jpjm1 |
---|
| 346 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 347 | zww(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 348 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 349 | & * 0.5 / ( e1f(ji,jj) * e2f (ji,jj) ) |
---|
| 350 | zwwtl(ji,jj) = ( ( vn_tl(ji+1,jj ,jk) + vn_tl (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 351 | & - ( un_tl(ji ,jj+1,jk) + un_tl (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 352 | & * 0.5 / ( e1f(ji,jj) * e2f (ji,jj) ) |
---|
| 353 | END DO |
---|
| 354 | END DO |
---|
| 355 | ENDIF |
---|
| 356 | zwz(:,:) = ff (:,:) |
---|
| 357 | zwx(:,:) = e2u(:,:) * un(:,:,jk) |
---|
| 358 | zwy(:,:) = e1v(:,:) * vn(:,:,jk) |
---|
| 359 | zwztl(:,:) = 0.0_wp |
---|
| 360 | zwxtl(:,:) = e2u(:,:) * un_tl(:,:,jk) |
---|
| 361 | zwytl(:,:) = e1v(:,:) * vn_tl(:,:,jk) |
---|
| 362 | ENDIF |
---|
| 363 | |
---|
| 364 | ! Compute and add the vorticity term trend |
---|
| 365 | ! ---------------------------------------- |
---|
| 366 | DO jj = 2, jpjm1 |
---|
| 367 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 368 | zy1 = ( zwy(ji,jj-1) + zwy(ji+1,jj-1) ) / e1u(ji,jj) |
---|
| 369 | zy2 = ( zwy(ji,jj ) + zwy(ji+1,jj ) ) / e1u(ji,jj) |
---|
| 370 | zx1 = ( zwx(ji-1,jj) + zwx(ji-1,jj+1) ) / e2v(ji,jj) |
---|
| 371 | zx2 = ( zwx(ji ,jj) + zwx(ji ,jj+1) ) / e2v(ji,jj) |
---|
| 372 | zy1tl = ( zwytl(ji,jj-1) + zwytl(ji+1,jj-1) ) / e1u(ji,jj) |
---|
| 373 | zy2tl = ( zwytl(ji,jj ) + zwytl(ji+1,jj ) ) / e1u(ji,jj) |
---|
| 374 | zx1tl = ( zwxtl(ji-1,jj) + zwxtl(ji-1,jj+1) ) / e2v(ji,jj) |
---|
| 375 | zx2tl = ( zwxtl(ji ,jj) + zwxtl(ji ,jj+1) ) / e2v(ji,jj) |
---|
| 376 | ! enstrophy conserving formulation for relative vorticity term |
---|
| 377 | zua = zfact1 * ( zww(ji ,jj-1) + zww(ji,jj) ) * ( zy1 + zy2 ) |
---|
| 378 | zva =-zfact1 * ( zww(ji-1,jj ) + zww(ji,jj) ) * ( zx1 + zx2 ) |
---|
[3627] | 379 | zuatl = zfact1 * ( zwwtl(ji ,jj-1) + zwwtl(ji,jj) ) * ( zy1 + zy2 ) & |
---|
| 380 | & + zfact1 * ( zww(ji ,jj-1) + zww(ji,jj) ) * ( zy1tl + zy2tl ) |
---|
| 381 | zvatl =-zfact1 * ( zwwtl(ji-1,jj ) + zwwtl(ji,jj) ) * ( zx1 + zx2 ) & |
---|
| 382 | & - zfact1 * ( zww(ji-1,jj ) + zww(ji,jj) ) * ( zx1tl + zx2tl ) |
---|
[3611] | 383 | ! energy conserving formulation for planetary vorticity term |
---|
| 384 | zcua = zfact2 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
---|
| 385 | zcva =-zfact2 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
---|
[3627] | 386 | zcuatl = zfact2 * ( zwztl(ji ,jj-1) * zy1 + zwztl(ji,jj) * zy2 ) & |
---|
| 387 | & + zfact2 * ( zwz(ji ,jj-1) * zy1tl + zwz(ji,jj) * zy2tl ) |
---|
| 388 | zcvatl =-zfact2 * ( zwztl(ji-1,jj ) * zx1 + zwztl(ji,jj) * zx2 ) & |
---|
| 389 | & -zfact2 * ( zwz(ji-1,jj ) * zx1tl + zwz(ji,jj) * zx2tl ) |
---|
[3611] | 390 | ! mixed vorticity trend added to the momentum trends |
---|
| 391 | ua_tl(ji,jj,jk) = ua_tl(ji,jj,jk) + zcuatl + zuatl |
---|
| 392 | va_tl(ji,jj,jk) = va_tl(ji,jj,jk) + zcvatl + zvatl |
---|
| 393 | END DO |
---|
| 394 | END DO |
---|
| 395 | ! ! =============== |
---|
| 396 | END DO ! End of slab |
---|
| 397 | ! ! =============== |
---|
| 398 | CALL wrk_dealloc( jpi, jpj, zwx, zwy, zwz, zww ) |
---|
| 399 | CALL wrk_dealloc( jpi, jpj, zwxtl, zwytl, zwztl, zwwtl ) |
---|
| 400 | ! |
---|
| 401 | IF( nn_timing == 1 ) CALL timing_stop('vor_mix_tan') |
---|
| 402 | ! |
---|
| 403 | END SUBROUTINE vor_mix_tan |
---|
| 404 | SUBROUTINE vor_ens_tan( kt, kvor, pua_tl, pva_tl ) |
---|
| 405 | !!---------------------------------------------------------------------- |
---|
| 406 | !! *** ROUTINE vor_ens_tan *** |
---|
| 407 | !! |
---|
| 408 | !! ** Purpose of the direct routine: |
---|
| 409 | !! Compute the now total vorticity trend and add it to |
---|
| 410 | !! the general trend of the momentum equation. |
---|
| 411 | !! |
---|
| 412 | !! ** Method of the direct routine: |
---|
| 413 | !! Trend evaluated using now fields (centered in time) |
---|
| 414 | !! and the Sadourny (1975) flux FORM formulation : conserves the |
---|
| 415 | !! potential enstrophy of a horizontally non-divergent flow. the |
---|
| 416 | !! trend of the vorticity term is given by: |
---|
| 417 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivative: |
---|
| 418 | !! voru = 1/e1u mj-1[ (rotn+f)/e3f ] mj-1[ mi(e1v*e3v vn) ] |
---|
| 419 | !! vorv = 1/e2v mi-1[ (rotn+f)/e3f ] mi-1[ mj(e2u*e3u un) ] |
---|
| 420 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
---|
| 421 | !! voru = 1/e1u mj-1[ rotn+f ] mj-1[ mi(e1v vn) ] |
---|
| 422 | !! vorv = 1/e2v mi-1[ rotn+f ] mi-1[ mj(e2u un) ] |
---|
| 423 | !! Add this trend to the general momentum trend (ua,va): |
---|
| 424 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
---|
| 425 | !! |
---|
| 426 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
---|
| 427 | !! - Save the trends in (ztrdu,ztrdv) in 2 parts (relative |
---|
| 428 | !! and planetary vorticity trends) ('key_trddyn') |
---|
| 429 | !! |
---|
| 430 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
---|
| 431 | !!---------------------------------------------------------------------- |
---|
| 432 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 433 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
---|
| 434 | ! ! =nrvm (relative vorticity or metric) |
---|
| 435 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua_tl ! total u-trend |
---|
| 436 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva_tl ! total v-trend |
---|
| 437 | !! |
---|
| 438 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 439 | REAL(wp) :: zfact1, zuav, zvau ! temporary scalars |
---|
| 440 | REAL(wp), POINTER, DIMENSION(:,:) :: zwx, zwy, zwz ! temporary 3D workspace |
---|
| 441 | REAL(wp) :: zuavtl, zvautl ! temporary scalars |
---|
| 442 | REAL(wp), POINTER, DIMENSION(:,:) :: zwxtl, zwytl, zwztl ! temporary 3D workspace |
---|
| 443 | !!---------------------------------------------------------------------- |
---|
| 444 | ! |
---|
| 445 | IF( nn_timing == 1 ) CALL timing_start('vor_ens_tan') |
---|
| 446 | ! |
---|
| 447 | CALL wrk_alloc( jpi, jpj, zwx, zwy, zwz ) |
---|
| 448 | CALL wrk_alloc( jpi, jpj, zwxtl, zwytl, zwztl ) |
---|
| 449 | ! |
---|
| 450 | IF( kt == nit000 ) THEN |
---|
| 451 | IF(lwp) WRITE(numout,*) |
---|
| 452 | IF(lwp) WRITE(numout,*) 'dyn_vor_ens_tan : vorticity term: enstrophy conserving scheme' |
---|
| 453 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~' |
---|
| 454 | ENDIF |
---|
| 455 | ! Local constant initialization |
---|
| 456 | zfact1 = 0.5 * 0.25 |
---|
| 457 | |
---|
| 458 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz zwxtl, zwytl, zwztl) |
---|
| 459 | ! ! =============== |
---|
| 460 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 461 | ! ! =============== |
---|
| 462 | ! Potential vorticity and horizontal fluxes |
---|
| 463 | ! ----------------------------------------- |
---|
| 464 | SELECT CASE( kvor ) ! vorticity considered |
---|
| 465 | CASE ( 1 ) ; zwz(:,:) = ff(:,:) ! planetary vorticity (Coriolis) |
---|
| 466 | CASE ( 2 ) ; zwz(:,:) = rotn(:,:,jk) ! relative vorticity |
---|
| 467 | CASE ( 3 ) ! metric term |
---|
| 468 | DO jj = 1, jpjm1 |
---|
| 469 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 470 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 471 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 472 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
| 473 | END DO |
---|
| 474 | END DO |
---|
| 475 | CASE ( 4 ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) ! total (relative + planetary vorticity) |
---|
| 476 | CASE ( 5 ) ! total (coriolis + metric) |
---|
| 477 | DO jj = 1, jpjm1 |
---|
| 478 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 479 | zwz(ji,jj) = ( ff (ji,jj) & |
---|
| 480 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 481 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 482 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
---|
| 483 | & ) |
---|
| 484 | END DO |
---|
| 485 | END DO |
---|
| 486 | END SELECT |
---|
| 487 | |
---|
| 488 | IF( ln_sco ) THEN |
---|
| 489 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
| 490 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
| 491 | zwz(ji,jj) = zwz(ji,jj) / fse3f(ji,jj,jk) |
---|
| 492 | zwx(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) * un(ji,jj,jk) |
---|
| 493 | zwy(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) * vn(ji,jj,jk) |
---|
| 494 | END DO |
---|
| 495 | END DO |
---|
| 496 | ELSE |
---|
| 497 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
| 498 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
| 499 | zwx(ji,jj) = e2u(ji,jj) * un(ji,jj,jk) |
---|
| 500 | zwy(ji,jj) = e1v(ji,jj) * vn(ji,jj,jk) |
---|
| 501 | END DO |
---|
| 502 | END DO |
---|
| 503 | ENDIF |
---|
| 504 | |
---|
| 505 | ! =================== |
---|
| 506 | ! Tangent counterpart |
---|
| 507 | ! =================== |
---|
| 508 | ! Potential vorticity and horizontal fluxes |
---|
| 509 | ! ----------------------------------------- |
---|
| 510 | SELECT CASE( kvor ) ! vorticity considered |
---|
| 511 | CASE ( 1 ) ; zwztl(:,:) = 0.0_wp ! planetary vorticity (Coriolis) |
---|
| 512 | CASE ( 2 ,4) ; zwztl(:,:) = rotn_tl(:,:,jk) ! relative vorticity |
---|
| 513 | CASE ( 3 ,5 ) ! metric term |
---|
| 514 | DO jj = 1, jpjm1 |
---|
| 515 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 516 | zwztl(ji,jj) = ( ( vn_tl(ji+1,jj ,jk) + vn_tl (ji,jj,jk) ) & |
---|
| 517 | & * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 518 | & - ( un_tl(ji ,jj+1,jk) + un_tl (ji,jj,jk) ) & |
---|
| 519 | & * ( e1u(ji ,jj+1) - e1u(ji,jj) ) & |
---|
| 520 | & ) * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
| 521 | END DO |
---|
| 522 | END DO |
---|
| 523 | END SELECT |
---|
| 524 | |
---|
| 525 | IF( ln_sco ) THEN |
---|
| 526 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
| 527 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
| 528 | zwztl(ji,jj) = zwztl(ji,jj) / fse3f(ji,jj,jk) |
---|
| 529 | zwxtl(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) * un_tl(ji,jj,jk) |
---|
| 530 | zwytl(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) * vn_tl(ji,jj,jk) |
---|
| 531 | END DO |
---|
| 532 | END DO |
---|
| 533 | ELSE |
---|
| 534 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
| 535 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
| 536 | zwxtl(ji,jj) = e2u(ji,jj) * un_tl(ji,jj,jk) |
---|
| 537 | zwytl(ji,jj) = e1v(ji,jj) * vn_tl(ji,jj,jk) |
---|
| 538 | END DO |
---|
| 539 | END DO |
---|
| 540 | ENDIF |
---|
| 541 | |
---|
| 542 | ! Compute and add the vorticity term trend |
---|
| 543 | ! ---------------------------------------- |
---|
| 544 | DO jj = 2, jpjm1 |
---|
| 545 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 546 | zuav = zfact1 / e1u(ji,jj) * ( zwy( ji ,jj-1) + zwy( ji+1,jj-1) & |
---|
| 547 | & + zwy( ji ,jj ) + zwy( ji+1,jj ) ) |
---|
| 548 | zvau =-zfact1 / e2v(ji,jj) * ( zwx( ji-1,jj ) + zwx( ji-1,jj+1) & |
---|
| 549 | & + zwx( ji ,jj ) + zwx( ji ,jj+1) ) |
---|
| 550 | zuavtl = zfact1 / e1u(ji,jj) * ( zwytl(ji ,jj-1) + zwytl(ji+1,jj-1) & |
---|
| 551 | & + zwytl(ji ,jj ) + zwytl(ji+1,jj ) ) |
---|
| 552 | zvautl =-zfact1 / e2v(ji,jj) * ( zwxtl(ji-1,jj ) + zwxtl(ji-1,jj+1) & |
---|
| 553 | & + zwxtl(ji ,jj ) + zwxtl(ji ,jj+1) ) |
---|
| 554 | pua_tl(ji,jj,jk) = pua_tl(ji,jj,jk) & |
---|
| 555 | & + zuavtl * ( zwz( ji,jj-1) + zwz( ji,jj) ) & |
---|
| 556 | & + zuav * ( zwztl(ji,jj-1) + zwztl(ji,jj) ) |
---|
| 557 | pva_tl(ji,jj,jk) = pva_tl(ji,jj,jk) & |
---|
| 558 | & + zvautl * ( zwz( ji-1,jj) + zwz( ji,jj) ) & |
---|
| 559 | & + zvau * ( zwztl(ji-1,jj) + zwztl(ji,jj) ) |
---|
| 560 | END DO |
---|
| 561 | END DO |
---|
| 562 | ! ! =============== |
---|
| 563 | END DO ! End of slab |
---|
| 564 | ! ! =============== |
---|
| 565 | CALL wrk_dealloc( jpi, jpj, zwx, zwy, zwz ) |
---|
| 566 | CALL wrk_dealloc( jpi, jpj, zwxtl, zwytl, zwztl ) |
---|
| 567 | ! |
---|
| 568 | IF( nn_timing == 1 ) CALL timing_stop('vor_ens_tan') |
---|
| 569 | ! |
---|
| 570 | END SUBROUTINE vor_ens_tan |
---|
| 571 | |
---|
| 572 | SUBROUTINE vor_een_tan( kt, kvor, pua_tl, pva_tl ) |
---|
| 573 | !!---------------------------------------------------------------------- |
---|
| 574 | !! *** ROUTINE vor_een_tan *** |
---|
| 575 | !! |
---|
| 576 | !! ** Purpose : Compute the now total vorticity trend and add it to |
---|
| 577 | !! the general trend of the momentum equation. |
---|
| 578 | !! |
---|
| 579 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
| 580 | !! and the Arakawa and Lamb (1980) flux form formulation : conserves |
---|
| 581 | !! both the horizontal kinetic energy and the potential enstrophy |
---|
| 582 | !! when horizontal divergence is zero (see the NEMO documentation) |
---|
| 583 | !! Add this trend to the general momentum trend (ua,va). |
---|
| 584 | !! |
---|
| 585 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
---|
| 586 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
---|
| 587 | !! and planetary vorticity trends) ('key_trddyn') |
---|
| 588 | !! |
---|
| 589 | !! References : Arakawa and Lamb 1980, Mon. Wea. Rev., 109, 18-36 |
---|
| 590 | !!---------------------------------------------------------------------- |
---|
| 591 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 592 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
---|
| 593 | ! ! =nrvm (relative vorticity or metric) |
---|
| 594 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua_tl ! total u-trend |
---|
| 595 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva_tl ! total v-trend |
---|
| 596 | !! |
---|
| 597 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 598 | INTEGER :: ierr |
---|
| 599 | REAL(wp) :: zfac12, zua, zva ! temporary scalars |
---|
| 600 | REAL(wp) :: zuatl, zvatl ! temporary scalars |
---|
| 601 | REAL(wp), POINTER, DIMENSION(:,:) :: zwx, zwy, zwz ! temporary 2D workspace |
---|
| 602 | REAL(wp), POINTER, DIMENSION(:,:) :: ztnw, ztne, ztsw, ztse ! temporary 3D workspace |
---|
| 603 | REAL(wp), POINTER, DIMENSION(:,:) :: zwxtl, zwytl, zwztl ! temporary 2D workspace |
---|
| 604 | REAL(wp), POINTER, DIMENSION(:,:) :: ztnwtl, ztnetl, ztswtl, ztsetl ! temporary 3D workspace |
---|
| 605 | #if defined key_vvl |
---|
| 606 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ze3f_tl |
---|
| 607 | #else |
---|
| 608 | REAL(wp), POINTER, DIMENSION(:,:,:), SAVE :: ze3f_tl |
---|
| 609 | #endif |
---|
| 610 | !!---------------------------------------------------------------------- |
---|
| 611 | IF( nn_timing == 1 ) CALL timing_start('vor_een_tan') |
---|
| 612 | ! |
---|
| 613 | CALL wrk_alloc( jpi, jpj, zwx , zwy , zwz ) |
---|
| 614 | CALL wrk_alloc( jpi, jpj, ztnw, ztne, ztsw, ztse ) |
---|
| 615 | CALL wrk_alloc( jpi, jpj, zwxtl , zwytl , zwztl ) |
---|
| 616 | CALL wrk_alloc( jpi, jpj, ztnwtl, ztnetl, ztswtl, ztsetl ) |
---|
| 617 | zuatl = 0.0_wp ; zvatl = 0.0_wp |
---|
| 618 | zwx (:,:) = 0.0_wp ; zwy (:,:) = 0.0_wp ; zwz (:,:) = 0.0_wp |
---|
| 619 | ztnw(:,:) = 0.0_wp ; ztne(:,:) = 0.0_wp ; ztsw(:,:) = 0.0_wp ; ztse(:,:) = 0.0_wp |
---|
| 620 | zwxtl (:,:) = 0.0_wp ; zwytl (:,:) = 0.0_wp ; zwztl (:,:) = 0.0_wp |
---|
| 621 | ztnwtl(:,:) = 0.0_wp ; ztnetl(:,:) = 0.0_wp ; ztswtl(:,:) = 0.0_wp ; ztsetl(:,:) = 0.0_wp |
---|
| 622 | #if defined key_vvl |
---|
| 623 | CALL wrk_alloc( jpi, jpj, jpk, ze3f_tl ) |
---|
| 624 | #endif |
---|
| 625 | IF( kt == nit000 ) THEN |
---|
| 626 | IF(lwp) WRITE(numout,*) |
---|
| 627 | IF(lwp) WRITE(numout,*) 'dyn:vor_een_tam : vorticity term: energy and enstrophy conserving scheme' |
---|
| 628 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
| 629 | IF( .NOT.lk_vvl ) THEN |
---|
| 630 | ALLOCATE( ze3f_tl(jpi,jpj,jpk) , STAT=ierr ) |
---|
| 631 | IF( lk_mpp ) CALL mpp_sum ( ierr ) |
---|
| 632 | IF( ierr /= 0 ) CALL ctl_stop( 'STOP', 'dyn:vor_een : unable to allocate arrays' ) |
---|
| 633 | ze3f_tl = 0._wp |
---|
| 634 | ENDIF |
---|
| 635 | ENDIF |
---|
| 636 | |
---|
| 637 | IF( kt == nit000 .OR. lk_vvl ) THEN ! reciprocal of e3 at F-point (masked averaging of e3t) |
---|
| 638 | DO jk = 1, jpk |
---|
| 639 | DO jj = 1, jpjm1 |
---|
| 640 | DO ji = 1, jpim1 |
---|
| 641 | ze3f_tl(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) & |
---|
| 642 | & + fse3t(ji,jj ,jk)*tmask(ji,jj ,jk) + fse3t(ji+1,jj ,jk)*tmask(ji+1,jj ,jk) ) * 0.25_wp |
---|
| 643 | IF( ze3f_tl(ji,jj,jk) /= 0.0_wp ) ze3f_tl(ji,jj,jk) = 1.0_wp / ze3f_tl(ji,jj,jk) |
---|
| 644 | END DO |
---|
| 645 | END DO |
---|
| 646 | END DO |
---|
| 647 | CALL lbc_lnk( ze3f_tl, 'F', 1._wp ) |
---|
| 648 | ENDIF |
---|
| 649 | |
---|
| 650 | zfac12 = 1.0_wp / 12.0_wp ! Local constant initialization |
---|
| 651 | |
---|
| 652 | |
---|
| 653 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz, ztnw, ztne, ztsw, ztse ) |
---|
| 654 | ! ! =============== |
---|
| 655 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 656 | ! ! =============== |
---|
| 657 | |
---|
| 658 | ! Potential vorticity and horizontal fluxes |
---|
| 659 | ! ----------------------------------------- |
---|
| 660 | SELECT CASE( kvor ) ! vorticity considered |
---|
| 661 | CASE ( 1 ) |
---|
| 662 | zwz(:,:) = ff(:,:) * ze3f_tl(:,:,jk) ! planetary vorticity (Coriolis) |
---|
| 663 | zwztl(:,:) = 0.0_wp |
---|
| 664 | CASE ( 2 ) |
---|
| 665 | zwz(:,:) = rotn(:,:,jk) * ze3f_tl(:,:,jk) ! relative vorticity |
---|
| 666 | zwztl(:,:) = rotn_tl(:,:,jk) * ze3f_tl(:,:,jk) |
---|
| 667 | CASE ( 3 ) ! metric term |
---|
| 668 | DO jj = 1, jpjm1 |
---|
| 669 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 670 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 671 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 672 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) * ze3f_tl(ji,jj,jk) |
---|
| 673 | END DO |
---|
| 674 | END DO |
---|
| 675 | CALL lbc_lnk( zwz, 'F', 1._wp ) |
---|
| 676 | DO jj = 1, jpjm1 |
---|
| 677 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 678 | zwztl(ji,jj) = ( ( vn_tl(ji+1,jj ,jk) + vn_tl (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 679 | & - ( un_tl(ji ,jj+1,jk) + un_tl (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 680 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) * ze3f_tl(ji,jj,jk) |
---|
| 681 | END DO |
---|
| 682 | END DO |
---|
| 683 | CALL lbc_lnk( zwztl, 'F', 1._wp ) |
---|
| 684 | CASE ( 4 ) |
---|
| 685 | zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) * ze3f_tl(:,:,jk) ! total (relative + planetary vorticity) |
---|
| 686 | zwztl(:,:) = ( rotn_tl(:,:,jk) ) * ze3f_tl(:,:,jk) |
---|
| 687 | CASE ( 5 ) ! total (coriolis + metric) |
---|
| 688 | DO jj = 1, jpjm1 |
---|
| 689 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 690 | zwz(ji,jj) = ( ff (ji,jj) & |
---|
| 691 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 692 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 693 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
---|
| 694 | & ) * ze3f_tl(ji,jj,jk) |
---|
| 695 | END DO |
---|
| 696 | END DO |
---|
| 697 | CALL lbc_lnk( zwz, 'F', 1._wp ) |
---|
| 698 | DO jj = 1, jpjm1 |
---|
| 699 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 700 | zwztl(ji,jj) = ( ( ( vn_tl(ji+1,jj ,jk) + vn_tl (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 701 | & - ( un_tl(ji ,jj+1,jk) + un_tl (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 702 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
---|
| 703 | & ) * ze3f_tl(ji,jj,jk) |
---|
| 704 | END DO |
---|
| 705 | END DO |
---|
| 706 | CALL lbc_lnk( zwztl, 'F', 1._wp ) |
---|
| 707 | END SELECT |
---|
| 708 | |
---|
| 709 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
---|
| 710 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
---|
| 711 | |
---|
| 712 | zwxtl(:,:) = e2u(:,:) * fse3u(:,:,jk) * un_tl(:,:,jk) |
---|
| 713 | zwytl(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn_tl(:,:,jk) |
---|
| 714 | |
---|
| 715 | ! Compute and add the vorticity term trend |
---|
| 716 | ! ---------------------------------------- |
---|
| 717 | jj=2 |
---|
| 718 | ztne(1,:) = 0.0_wp ; ztnw(1,:) = 0.0_wp ; ztse(1,:) = 0.0_wp ; ztsw(1,:) = 0.0_wp |
---|
| 719 | ztnetl(1,:) = 0.0_wp ; ztnwtl(1,:) = 0.0_wp ; ztsetl(1,:) = 0.0_wp ; ztswtl(1,:) = 0.0_wp |
---|
| 720 | DO ji = 2, jpi |
---|
| 721 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
| 722 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
| 723 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
| 724 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
| 725 | |
---|
| 726 | ztnetl(ji,jj) = zwztl(ji-1,jj ) + zwztl(ji ,jj ) + zwztl(ji ,jj-1) |
---|
| 727 | ztnwtl(ji,jj) = zwztl(ji-1,jj-1) + zwztl(ji-1,jj ) + zwztl(ji ,jj ) |
---|
| 728 | ztsetl(ji,jj) = zwztl(ji ,jj ) + zwztl(ji ,jj-1) + zwztl(ji-1,jj-1) |
---|
| 729 | ztswtl(ji,jj) = zwztl(ji ,jj-1) + zwztl(ji-1,jj-1) + zwztl(ji-1,jj ) |
---|
| 730 | END DO |
---|
| 731 | DO jj = 3, jpj |
---|
| 732 | DO ji = fs_2, jpi ! vector opt. |
---|
| 733 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
| 734 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
| 735 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
| 736 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
| 737 | |
---|
| 738 | ztnetl(ji,jj) = zwztl(ji-1,jj ) + zwztl(ji ,jj ) + zwztl(ji ,jj-1) |
---|
| 739 | ztnwtl(ji,jj) = zwztl(ji-1,jj-1) + zwztl(ji-1,jj ) + zwztl(ji ,jj ) |
---|
| 740 | ztsetl(ji,jj) = zwztl(ji ,jj ) + zwztl(ji ,jj-1) + zwztl(ji-1,jj-1) |
---|
| 741 | ztswtl(ji,jj) = zwztl(ji ,jj-1) + zwztl(ji-1,jj-1) + zwztl(ji-1,jj ) |
---|
| 742 | END DO |
---|
| 743 | END DO |
---|
| 744 | DO jj = 2, jpjm1 |
---|
| 745 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 746 | zuatl = + zfac12 / e1u(ji,jj) * ( ztnetl(ji,jj ) * zwy(ji ,jj ) + ztne(ji,jj ) * zwytl(ji ,jj ) & |
---|
| 747 | & + ztnwtl(ji+1,jj) * zwy(ji+1,jj ) + ztnw(ji+1,jj) * zwytl(ji+1,jj ) & |
---|
| 748 | & + ztsetl(ji,jj ) * zwy(ji ,jj-1) + ztse(ji,jj ) * zwytl(ji ,jj-1) & |
---|
| 749 | & + ztswtl(ji+1,jj) * zwy(ji+1,jj-1) + ztsw(ji+1,jj) * zwytl(ji+1,jj-1)) |
---|
| 750 | |
---|
| 751 | zvatl = - zfac12 / e2v(ji,jj) * ( ztswtl(ji,jj+1) * zwx(ji-1,jj+1) + ztsw(ji,jj+1) * zwxtl(ji-1,jj+1) & |
---|
| 752 | & + ztsetl(ji,jj+1) * zwx(ji ,jj+1) + ztse(ji,jj+1) * zwxtl(ji ,jj+1) & |
---|
| 753 | & + ztnwtl(ji,jj ) * zwx(ji-1,jj ) + ztnw(ji,jj ) * zwxtl(ji-1,jj ) & |
---|
| 754 | & + ztnetl(ji,jj ) * zwx(ji ,jj ) + ztne(ji,jj ) * zwxtl(ji ,jj ) ) |
---|
| 755 | pua_tl(ji,jj,jk) = pua_tl(ji,jj,jk) + zuatl |
---|
| 756 | pva_tl(ji,jj,jk) = pva_tl(ji,jj,jk) + zvatl |
---|
| 757 | END DO |
---|
| 758 | END DO |
---|
| 759 | ! ! =============== |
---|
| 760 | END DO ! End of slab |
---|
| 761 | ! ! =============== |
---|
| 762 | CALL wrk_dealloc( jpi, jpj, zwx , zwy , zwz ) |
---|
| 763 | CALL wrk_dealloc( jpi, jpj, ztnw, ztne, ztsw, ztse ) |
---|
| 764 | CALL wrk_dealloc( jpi, jpj, zwxtl , zwytl , zwztl ) |
---|
| 765 | CALL wrk_dealloc( jpi, jpj, ztnwtl, ztnetl, ztswtl, ztsetl ) |
---|
| 766 | #if defined key_vvl |
---|
| 767 | CALL wrk_dealloc( jpi, jpj, jpk, ze3f_tl ) |
---|
| 768 | #endif |
---|
| 769 | ! |
---|
| 770 | IF( nn_timing == 1 ) CALL timing_stop('vor_een_tan') |
---|
| 771 | ! |
---|
| 772 | END SUBROUTINE vor_een_tan |
---|
| 773 | |
---|
| 774 | |
---|
| 775 | SUBROUTINE dyn_vor_adj( kt ) |
---|
| 776 | !!---------------------------------------------------------------------- |
---|
| 777 | !! |
---|
| 778 | !! ** Purpose of the direct routine: |
---|
| 779 | !! compute the lateral ocean tracer physics. |
---|
| 780 | !! |
---|
| 781 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
---|
| 782 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
---|
| 783 | !! and planetary vorticity trends) ('key_trddyn') |
---|
| 784 | !!---------------------------------------------------------------------- |
---|
| 785 | !! |
---|
| 786 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
---|
| 787 | !!---------------------------------------------------------------------- |
---|
| 788 | ! |
---|
| 789 | IF( nn_timing == 1 ) CALL timing_start('dyn_vor_adj') |
---|
| 790 | ! |
---|
| 791 | ! ! vorticity term |
---|
| 792 | SELECT CASE ( nvor ) ! compute the vorticity trend and add it to the general trend |
---|
| 793 | ! |
---|
| 794 | CASE ( -1 ) ! esopa: test all possibility with control print |
---|
| 795 | CALL vor_een_adj( kt, ntot, ua_ad, va_ad ) |
---|
| 796 | ! CALL vor_mix_adj( kt ) |
---|
| 797 | CALL vor_ens_adj( kt, ntot, ua_ad, va_ad ) |
---|
| 798 | ! CALL vor_ene_adj( kt, ntot, ua_ad, va_ad ) |
---|
| 799 | ! |
---|
| 800 | CASE ( 0 ) ! energy conserving scheme |
---|
| 801 | CALL ctl_stop ('vor_ene_adj not available yet') |
---|
| 802 | ! CALL vor_ene_adj( kt, ntot, ua_ad, va_ad ) ! total vorticity |
---|
| 803 | ! |
---|
| 804 | CASE ( 1 ) ! enstrophy conserving scheme |
---|
| 805 | CALL vor_ens_adj( kt, ntot, ua_ad, va_ad ) ! total vorticity |
---|
| 806 | ! |
---|
| 807 | CASE ( 2 ) ! mixed ene-ens scheme |
---|
| 808 | CALL ctl_stop ('vor_mix_adj not available yet') |
---|
| 809 | ! CALL vor_mix_adj( kt ) ! total vorticity (mix=ens-ene) |
---|
| 810 | ! |
---|
| 811 | CASE ( 3 ) ! energy and enstrophy conserving scheme |
---|
| 812 | CALL vor_een_adj( kt, ntot, ua_ad, va_ad ) ! total vorticity |
---|
| 813 | ! |
---|
| 814 | END SELECT |
---|
| 815 | ! |
---|
| 816 | IF( nn_timing == 1 ) CALL timing_stop('dyn_vor_adj') |
---|
| 817 | ! |
---|
| 818 | END SUBROUTINE dyn_vor_adj |
---|
| 819 | SUBROUTINE vor_ens_adj( kt, kvor, pua_ad, pva_ad ) |
---|
| 820 | !!---------------------------------------------------------------------- |
---|
| 821 | !! *** ROUTINE vor_ens_adj *** |
---|
| 822 | !! |
---|
| 823 | !! ** Purpose of the direct routine: |
---|
| 824 | !! Compute the now total vorticity trend and add it to |
---|
| 825 | !! the general trend of the momentum equation. |
---|
| 826 | !! |
---|
| 827 | !! ** Method of the direct routine: |
---|
| 828 | !! Trend evaluated using now fields (centered in time) |
---|
| 829 | !! and the Sadourny (1975) flux FORM formulation : conserves the |
---|
| 830 | !! potential enstrophy of a horizontally non-divergent flow. the |
---|
| 831 | !! trend of the vorticity term is given by: |
---|
| 832 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivative: |
---|
| 833 | !! voru = 1/e1u mj-1[ (rotn+f)/e3f ] mj-1[ mi(e1v*e3v vn) ] |
---|
| 834 | !! vorv = 1/e2v mi-1[ (rotn+f)/e3f ] mi-1[ mj(e2u*e3u un) ] |
---|
| 835 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
---|
| 836 | !! voru = 1/e1u mj-1[ rotn+f ] mj-1[ mi(e1v vn) ] |
---|
| 837 | !! vorv = 1/e2v mi-1[ rotn+f ] mi-1[ mj(e2u un) ] |
---|
| 838 | !! Add this trend to the general momentum trend (ua,va): |
---|
| 839 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
---|
| 840 | !! |
---|
| 841 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
---|
| 842 | !! - Save the trends in (ztrdu,ztrdv) in 2 parts (relative |
---|
| 843 | !! and planetary vorticity trends) ('key_trddyn') |
---|
| 844 | !! |
---|
| 845 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
---|
| 846 | !!---------------------------------------------------------------------- |
---|
| 847 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 848 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
---|
| 849 | ! ! =nrvm (relative vorticity or metric) |
---|
| 850 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua_ad ! total u-trend |
---|
| 851 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva_ad ! total v-trend |
---|
| 852 | !! |
---|
| 853 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 854 | REAL(wp) :: zfact1 ! temporary scalars |
---|
| 855 | REAL(wp), POINTER, DIMENSION(:,:) :: zwx, zwy, zwz ! temporary 3D workspace |
---|
| 856 | REAL(wp) :: zuav, zvau ! temporary scalars |
---|
| 857 | REAL(wp) :: zuavad, zvauad ! temporary scalars |
---|
| 858 | REAL(wp), POINTER, DIMENSION(:,:) :: zwxad, zwyad, zwzad ! temporary 3D workspace |
---|
| 859 | !!---------------------------------------------------------------------- |
---|
| 860 | ! |
---|
| 861 | IF( nn_timing == 1 ) CALL timing_start('vor_ens_adj') |
---|
| 862 | ! |
---|
| 863 | CALL wrk_alloc( jpi, jpj, zwx, zwy, zwz ) |
---|
| 864 | CALL wrk_alloc( jpi, jpj, zwxad, zwyad, zwzad ) |
---|
| 865 | ! |
---|
| 866 | IF( kt == nitend ) THEN |
---|
| 867 | IF(lwp) WRITE(numout,*) |
---|
| 868 | IF(lwp) WRITE(numout,*) 'dyn_vor_ens_adj : vorticity term: enstrophy conserving scheme' |
---|
| 869 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~' |
---|
| 870 | ENDIF |
---|
| 871 | |
---|
| 872 | ! Local constant initialization |
---|
| 873 | zfact1 = 0.5 * 0.25 |
---|
| 874 | |
---|
| 875 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz, zwxad, zwyad, zwzad ) |
---|
| 876 | ! ! =============== |
---|
| 877 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 878 | ! ! =============== |
---|
| 879 | ! Potential vorticity and horizontal fluxes |
---|
| 880 | ! ----------------------------------------- |
---|
| 881 | SELECT CASE( kvor ) ! vorticity considered |
---|
| 882 | CASE ( 1 ) ; zwz(:,:) = ff(:,:) ! planetary vorticity (Coriolis) |
---|
| 883 | CASE ( 2 ) ; zwz(:,:) = rotn(:,:,jk) ! relative vorticity |
---|
| 884 | CASE ( 3 ) ! metric term |
---|
| 885 | DO jj = 1, jpjm1 |
---|
| 886 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 887 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 888 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) )& |
---|
| 889 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
| 890 | END DO |
---|
| 891 | END DO |
---|
| 892 | CASE ( 4 ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) ! total (relative + planetary vorticity) |
---|
| 893 | CASE ( 5 ) ! total (coriolis + metric) |
---|
| 894 | DO jj = 1, jpjm1 |
---|
| 895 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 896 | zwz(ji,jj) = ( ff (ji,jj) & |
---|
| 897 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 898 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 899 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
---|
| 900 | & ) |
---|
| 901 | END DO |
---|
| 902 | END DO |
---|
| 903 | END SELECT |
---|
| 904 | |
---|
| 905 | IF( ln_sco ) THEN |
---|
| 906 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
| 907 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
| 908 | zwz(ji,jj) = zwz(ji,jj) / fse3f(ji,jj,jk) |
---|
| 909 | zwx(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) * un(ji,jj,jk) |
---|
| 910 | zwy(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) * vn(ji,jj,jk) |
---|
| 911 | END DO |
---|
| 912 | END DO |
---|
| 913 | ELSE |
---|
| 914 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
| 915 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
| 916 | zwx(ji,jj) = e2u(ji,jj) * un(ji,jj,jk) |
---|
| 917 | zwy(ji,jj) = e1v(ji,jj) * vn(ji,jj,jk) |
---|
| 918 | END DO |
---|
| 919 | END DO |
---|
| 920 | ENDIF |
---|
| 921 | ! =================== |
---|
| 922 | ! Adjoint counterpart |
---|
| 923 | ! =================== |
---|
| 924 | zuavad = 0.0_wp |
---|
| 925 | zvauad = 0.0_wp |
---|
| 926 | zwxad(:,:) = 0.0_wp |
---|
| 927 | zwyad(:,:) = 0.0_wp |
---|
| 928 | zwzad(:,:) = 0.0_wp |
---|
| 929 | ! Compute and add the vorticity term trend |
---|
| 930 | ! ---------------------------------------- |
---|
| 931 | DO jj = jpjm1, 2, -1 |
---|
| 932 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
---|
| 933 | ! Compute and add the vorticity term trend |
---|
| 934 | ! ---------------------------------------- |
---|
| 935 | !- Direct counterpart |
---|
| 936 | zuav = zfact1 / e1u(ji,jj) * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
---|
| 937 | & + zwy(ji ,jj ) + zwy(ji+1,jj ) ) |
---|
| 938 | zvau =-zfact1 / e2v(ji,jj) * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
---|
| 939 | & + zwx(ji ,jj ) + zwx(ji ,jj+1) ) |
---|
| 940 | !- |
---|
| 941 | zvauad = zvauad + pva_ad(ji,jj,jk) * ( zwz(ji-1,jj) + zwz(ji,jj) ) |
---|
| 942 | zwzad(ji-1,jj) = zwzad(ji-1,jj) + pva_ad(ji,jj,jk) * zvau |
---|
| 943 | zwzad(ji ,jj) = zwzad(ji ,jj) + pva_ad(ji,jj,jk) * zvau |
---|
| 944 | |
---|
| 945 | zuavad = zuavad + pua_ad(ji,jj,jk) * ( zwz(ji,jj-1) + zwz(ji,jj) ) |
---|
| 946 | zwzad(ji,jj-1) = zwzad(ji,jj-1) + pua_ad(ji,jj,jk) * zuav |
---|
| 947 | zwzad(ji,jj ) = zwzad(ji,jj ) + pua_ad(ji,jj,jk) * zuav |
---|
| 948 | |
---|
| 949 | zwxad(ji-1,jj ) = zwxad(ji-1,jj ) - zvauad * zfact1 / e2v(ji,jj) |
---|
| 950 | zwxad(ji-1,jj+1) = zwxad(ji-1,jj+1) - zvauad * zfact1 / e2v(ji,jj) |
---|
| 951 | zwxad(ji ,jj ) = zwxad(ji ,jj ) - zvauad * zfact1 / e2v(ji,jj) |
---|
| 952 | zwxad(ji ,jj+1) = zwxad(ji ,jj+1) - zvauad * zfact1 / e2v(ji,jj) |
---|
| 953 | zvauad = 0.0_wp |
---|
| 954 | |
---|
| 955 | zwyad(ji ,jj-1) = zwyad(ji ,jj-1) + zuavad * zfact1 / e1u(ji,jj) |
---|
| 956 | zwyad(ji+1,jj-1) = zwyad(ji+1,jj-1) + zuavad * zfact1 / e1u(ji,jj) |
---|
| 957 | zwyad(ji ,jj ) = zwyad(ji ,jj ) + zuavad * zfact1 / e1u(ji,jj) |
---|
| 958 | zwyad(ji+1,jj ) = zwyad(ji+1,jj ) + zuavad * zfact1 / e1u(ji,jj) |
---|
| 959 | zuavad = 0.0_wp |
---|
| 960 | END DO |
---|
| 961 | END DO |
---|
| 962 | IF( ln_sco ) THEN |
---|
| 963 | DO jj = jpj, 1, -1 ! caution: don't use (:,:) for this loop |
---|
| 964 | DO ji = jpi, 1, -1 ! it causes optimization problems on NEC in auto-tasking |
---|
| 965 | zwzad(ji,jj) = zwzad(ji,jj) / fse3f(ji,jj,jk) |
---|
| 966 | un_ad(ji,jj,jk) = un_ad(ji,jj,jk) + zwxad(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) |
---|
| 967 | vn_ad(ji,jj,jk) = vn_ad(ji,jj,jk) + zwyad(ji,jj) * e1v(ji,jj) * fse3v(ji,jj,jk) |
---|
| 968 | zwxad(ji,jj) = 0.0_wp |
---|
| 969 | zwyad(ji,jj) = 0.0_wp |
---|
| 970 | END DO |
---|
| 971 | END DO |
---|
| 972 | ELSE |
---|
| 973 | DO jj = jpj, 1, -1 ! caution: don't use (:,:) for this loop |
---|
| 974 | DO ji = jpi, 1, -1 ! it causes optimization problems on NEC in auto-tasking |
---|
| 975 | un_ad(ji,jj,jk) = un_ad(ji,jj,jk) + e2u(ji,jj) * zwxad(ji,jj) |
---|
| 976 | vn_ad(ji,jj,jk) = vn_ad(ji,jj,jk) + e1v(ji,jj) * zwyad(ji,jj) |
---|
| 977 | zwxad(ji,jj) = 0.0_wp |
---|
| 978 | zwyad(ji,jj) = 0.0_wp |
---|
| 979 | END DO |
---|
| 980 | END DO |
---|
| 981 | ENDIF |
---|
| 982 | ! Potential vorticity and horizontal fluxes |
---|
| 983 | ! ----------------------------------------- |
---|
| 984 | SELECT CASE( kvor ) ! vorticity considered |
---|
| 985 | CASE ( 1 ) ! planetary vorticity (Coriolis) |
---|
| 986 | zwzad(:,:) = 0.0_wp |
---|
| 987 | CASE ( 2 ,4) ! relative vorticity |
---|
| 988 | rotn_ad(:,:,jk) = rotn_ad(:,:,jk) + zwzad(:,:) |
---|
| 989 | zwzad(:,:) = 0.0_wp |
---|
| 990 | CASE ( 3 ,5 ) ! metric term |
---|
| 991 | DO jj = jpjm1, 1, -1 |
---|
| 992 | DO ji = fs_jpim1, 1, -1 ! vector opt. |
---|
| 993 | vn_ad(ji+1,jj,jk) = vn_ad(ji+1,jj,jk) & |
---|
| 994 | & + zwzad(ji,jj) * ( e2v(ji+1,jj) - e2v(ji,jj) ) & |
---|
| 995 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
| 996 | vn_ad(ji ,jj,jk) = vn_ad(ji ,jj,jk) & |
---|
| 997 | & + zwzad(ji,jj) * ( e2v(ji+1,jj) - e2v(ji,jj) ) & |
---|
| 998 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
| 999 | un_ad(ji,jj+1,jk) = un_ad(ji,jj+1,jk) & |
---|
| 1000 | & - zwzad(ji,jj) * ( e1u(ji,jj+1) - e1u(ji,jj) ) & |
---|
| 1001 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
| 1002 | un_ad(ji,jj ,jk) = un_ad(ji,jj ,jk) & |
---|
| 1003 | & - zwzad(ji,jj) * ( e1u(ji,jj+1) - e1u(ji,jj) ) & |
---|
| 1004 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
| 1005 | zwzad(ji,jj) = 0.0_wp |
---|
| 1006 | END DO |
---|
| 1007 | END DO |
---|
| 1008 | END SELECT |
---|
| 1009 | ! ! =============== |
---|
| 1010 | END DO ! End of slab |
---|
| 1011 | ! ! =============== |
---|
| 1012 | CALL wrk_dealloc( jpi, jpj, zwx, zwy, zwz ) |
---|
| 1013 | CALL wrk_dealloc( jpi, jpj, zwxad, zwyad, zwzad ) |
---|
| 1014 | ! |
---|
| 1015 | IF( nn_timing == 1 ) CALL timing_stop('vor_ens_adj') |
---|
| 1016 | ! |
---|
| 1017 | END SUBROUTINE vor_ens_adj |
---|
| 1018 | |
---|
| 1019 | |
---|
| 1020 | SUBROUTINE vor_een_adj( kt, kvor, pua_ad, pva_ad ) |
---|
| 1021 | !!---------------------------------------------------------------------- |
---|
| 1022 | !! *** ROUTINE vor_een_adj *** |
---|
| 1023 | !! |
---|
| 1024 | !! ** Purpose : Compute the now total vorticity trend and add it to |
---|
| 1025 | !! the general trend of the momentum equation. |
---|
| 1026 | !! |
---|
| 1027 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
| 1028 | !! and the Arakawa and Lamb (19XX) flux form formulation : conserves |
---|
| 1029 | !! both the horizontal kinetic energy and the potential enstrophy |
---|
| 1030 | !! when horizontal divergence is zero. |
---|
| 1031 | !! The trend of the vorticity term is given by: |
---|
| 1032 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivatives: |
---|
| 1033 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
---|
| 1034 | !! Add this trend to the general momentum trend (ua,va): |
---|
| 1035 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
---|
| 1036 | !! |
---|
| 1037 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
---|
| 1038 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
---|
| 1039 | !! and planetary vorticity trends) ('key_trddyn') |
---|
| 1040 | !! |
---|
| 1041 | !! References : Arakawa and Lamb 1980, Mon. Wea. Rev., 109, 18-36 |
---|
| 1042 | !!---------------------------------------------------------------------- |
---|
| 1043 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 1044 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
---|
| 1045 | ! ! =nrvm (relative vorticity or metric) |
---|
| 1046 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua_ad ! total u-trend |
---|
| 1047 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva_ad ! total v-trend |
---|
| 1048 | !! |
---|
| 1049 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 1050 | REAL(wp) :: zfac12 ! temporary scalars |
---|
| 1051 | REAL(wp) :: zuaad, zvaad ! temporary scalars |
---|
| 1052 | REAL(wp), POINTER, DIMENSION(:,:) :: zwx, zwy, zwz ! temporary 2D workspace |
---|
| 1053 | REAL(wp), POINTER, DIMENSION(:,:) :: ztnw, ztne, ztsw, ztse ! temporary 3D workspace |
---|
| 1054 | REAL(wp), POINTER, DIMENSION(:,:) :: zwxad, zwyad, zwzad ! temporary 2D workspace |
---|
| 1055 | REAL(wp), POINTER, DIMENSION(:,:) :: ztnwad, ztnead, ztswad, ztsead ! temporary 3D workspace |
---|
| 1056 | REAL(wp), POINTER, DIMENSION(:,:,:), SAVE :: ze3f_ad |
---|
| 1057 | !!---------------------------------------------------------------------- |
---|
| 1058 | ! |
---|
| 1059 | IF( nn_timing == 1 ) CALL timing_start('vor_een_adj') |
---|
| 1060 | ! |
---|
| 1061 | CALL wrk_alloc( jpi, jpj, zwx , zwy , zwz ) |
---|
| 1062 | CALL wrk_alloc( jpi, jpj, ztnw, ztne, ztsw, ztse ) |
---|
| 1063 | CALL wrk_alloc( jpi, jpj, zwxad , zwyad , zwzad ) |
---|
| 1064 | CALL wrk_alloc( jpi, jpj, ztnwad, ztnead, ztswad, ztsead ) |
---|
| 1065 | CALL wrk_alloc( jpi, jpj, jpk, ze3f_ad ) |
---|
| 1066 | ! local adjoint initailization |
---|
| 1067 | zuaad = 0.0_wp ; zvaad = 0.0_wp |
---|
| 1068 | zwx (:,:) = 0.0_wp ; zwy (:,:) = 0.0_wp ; zwz (:,:) = 0.0_wp |
---|
| 1069 | ztnw(:,:) = 0.0_wp ; ztne(:,:) = 0.0_wp ; ztsw(:,:) = 0.0_wp ; ztse(:,:) = 0.0_wp |
---|
| 1070 | zwxad (:,:) = 0.0_wp ; zwyad (:,:) = 0.0_wp ; zwzad (:,:) = 0.0_wp |
---|
| 1071 | ztnwad(:,:) = 0.0_wp ; ztnead(:,:) = 0.0_wp ; ztswad(:,:) = 0.0_wp ; ztsead(:,:) = 0.0_wp |
---|
| 1072 | ze3f_ad = 0._wp |
---|
| 1073 | |
---|
| 1074 | IF( kt == nitend ) THEN |
---|
| 1075 | IF(lwp) WRITE(numout,*) |
---|
| 1076 | IF(lwp) WRITE(numout,*) 'dyn:vor_een_adj : vorticity term: energy and enstrophy conserving scheme' |
---|
| 1077 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
| 1078 | ENDIF |
---|
| 1079 | |
---|
| 1080 | IF( kt == nit000 ) THEN ! reciprocal of e3 at F-point (masked averaging of e3t) |
---|
| 1081 | DO jk = 1, jpk |
---|
| 1082 | DO jj = 1, jpjm1 |
---|
| 1083 | DO ji = 1, jpim1 |
---|
| 1084 | ze3f_ad(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) & |
---|
| 1085 | & + fse3t(ji,jj ,jk)*tmask(ji,jj ,jk) + fse3t(ji+1,jj ,jk)*tmask(ji+1,jj ,jk) ) * 0.25_wp |
---|
| 1086 | IF( ze3f_ad(ji,jj,jk) /= 0.0_wp ) ze3f_ad(ji,jj,jk) = 1.0_wp / ze3f_ad(ji,jj,jk) |
---|
| 1087 | END DO |
---|
| 1088 | END DO |
---|
| 1089 | END DO |
---|
| 1090 | CALL lbc_lnk( ze3f_ad, 'F', 1._wp ) |
---|
| 1091 | ENDIF |
---|
| 1092 | |
---|
| 1093 | ! Local constant initialization |
---|
| 1094 | zfac12 = 1.0_wp / 12.0_wp |
---|
| 1095 | |
---|
| 1096 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz, ztnw, ztne, ztsw, ztse ) |
---|
| 1097 | ! ! =============== |
---|
| 1098 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 1099 | ! ! =============== |
---|
| 1100 | |
---|
| 1101 | ! Potential vorticity and horizontal fluxes (Direct local variables init) |
---|
| 1102 | ! ----------------------------------------- |
---|
| 1103 | SELECT CASE( kvor ) ! vorticity considered |
---|
| 1104 | CASE ( 1 ) |
---|
| 1105 | zwz(:,:) = ff(:,:) * ze3f_ad(:,:,jk) ! planetary vorticity (Coriolis) |
---|
| 1106 | CASE ( 2 ) ; zwz(:,:) = rotn(:,:,jk) * ze3f_ad(:,:,jk) ! relative vorticity |
---|
| 1107 | CASE ( 3 ) ! metric term |
---|
| 1108 | DO jj = 1, jpjm1 |
---|
| 1109 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 1110 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 1111 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) )& |
---|
| 1112 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) * ze3f_ad(ji,jj,jk) |
---|
| 1113 | END DO |
---|
| 1114 | END DO |
---|
| 1115 | CALL lbc_lnk( zwz, 'F', 1._wp ) |
---|
| 1116 | CASE ( 4 ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) * ze3f_ad(:,:,jk) ! total (relative + planetary vorticity) |
---|
| 1117 | CASE ( 5 ) ! total (coriolis + metric) |
---|
| 1118 | DO jj = 1, jpjm1 |
---|
| 1119 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 1120 | zwz(ji,jj) = ( ff (ji,jj) & |
---|
| 1121 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
| 1122 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
| 1123 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
---|
| 1124 | & ) * ze3f_ad(ji,jj,jk) |
---|
| 1125 | END DO |
---|
| 1126 | END DO |
---|
| 1127 | CALL lbc_lnk( zwz, 'F', 1._wp ) |
---|
| 1128 | END SELECT |
---|
| 1129 | |
---|
| 1130 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
---|
| 1131 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
---|
| 1132 | |
---|
| 1133 | ! Compute and add the vorticity term trend |
---|
| 1134 | ! ---------------------------------------- |
---|
| 1135 | jj=2 |
---|
| 1136 | ztne(1,:) = 0.0_wp ; ztnw(1,:) = 0.0_wp ; ztse(1,:) = 0.0_wp ; ztsw(1,:) = 0.0_wp |
---|
| 1137 | DO ji = 2, jpi |
---|
| 1138 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
| 1139 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
| 1140 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
| 1141 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
| 1142 | END DO |
---|
| 1143 | DO jj = 3, jpj |
---|
| 1144 | DO ji = fs_2, jpi ! vector opt. |
---|
| 1145 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
| 1146 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
| 1147 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
| 1148 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
| 1149 | END DO |
---|
| 1150 | END DO |
---|
| 1151 | |
---|
| 1152 | ! =================== |
---|
| 1153 | ! Adjoint counterpart |
---|
| 1154 | ! =================== |
---|
| 1155 | |
---|
| 1156 | DO jj = jpjm1, 2, -1 |
---|
| 1157 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
---|
| 1158 | zuaad = zuaad + pua_ad(ji,jj,jk) |
---|
| 1159 | zvaad = zvaad + pva_ad(ji,jj,jk) |
---|
| 1160 | |
---|
| 1161 | zvaad = - zvaad * zfac12 / e2v(ji,jj) |
---|
| 1162 | ztswad(ji ,jj+1) = ztswad(ji ,jj+1) + zvaad * zwx (ji-1,jj+1) |
---|
| 1163 | zwxad (ji-1,jj+1) = zwxad (ji-1,jj+1) + zvaad * ztsw(ji ,jj+1) |
---|
| 1164 | ztsead(ji ,jj+1) = ztsead(ji ,jj+1) + zvaad * zwx (ji ,jj+1) |
---|
| 1165 | zwxad (ji ,jj+1) = zwxad (ji ,jj+1) + zvaad * ztse(ji ,jj+1) |
---|
| 1166 | ztnwad(ji ,jj ) = ztnwad(ji ,jj ) + zvaad * zwx (ji-1,jj ) |
---|
| 1167 | zwxad (ji-1,jj ) = zwxad (ji-1,jj ) + zvaad * ztnw(ji ,jj ) |
---|
| 1168 | ztnead(ji ,jj ) = ztnead(ji ,jj ) + zvaad * zwx (ji ,jj ) |
---|
| 1169 | zwxad (ji ,jj ) = zwxad (ji ,jj ) + zvaad * ztne(ji ,jj ) |
---|
| 1170 | zvaad = 0.0_wp |
---|
| 1171 | |
---|
| 1172 | zuaad = zuaad * zfac12 / e1u(ji,jj) |
---|
| 1173 | ztnead(ji ,jj ) = ztnead(ji ,jj ) + zuaad * zwy (ji ,jj ) |
---|
| 1174 | zwyad (ji ,jj ) = zwyad (ji ,jj ) + zuaad * ztne(ji ,jj ) |
---|
| 1175 | ztnwad(ji+1,jj ) = ztnwad(ji+1,jj ) + zuaad * zwy (ji+1,jj ) |
---|
| 1176 | zwyad (ji+1,jj ) = zwyad (ji+1,jj ) + zuaad * ztnw(ji+1,jj ) |
---|
| 1177 | ztsead(ji ,jj ) = ztsead(ji ,jj ) + zuaad * zwy (ji ,jj-1) |
---|
| 1178 | zwyad (ji ,jj-1) = zwyad (ji ,jj-1) + zuaad * ztse(ji ,jj ) |
---|
| 1179 | ztswad(ji+1,jj ) = ztswad(ji+1,jj ) + zuaad * zwy (ji+1,jj-1) |
---|
| 1180 | zwyad (ji+1,jj-1) = zwyad (ji+1,jj-1) + zuaad * ztsw(ji+1,jj ) |
---|
| 1181 | zuaad = 0.0_wp |
---|
| 1182 | END DO |
---|
| 1183 | END DO |
---|
| 1184 | DO jj = jpj, 3, -1 |
---|
| 1185 | DO ji = jpi, fs_2, -1 ! vector opt. |
---|
| 1186 | zwzad (ji ,jj-1) = zwzad(ji ,jj-1) + ztswad(ji,jj) |
---|
| 1187 | zwzad (ji-1,jj-1) = zwzad(ji-1,jj-1) + ztswad(ji,jj) |
---|
| 1188 | zwzad (ji-1,jj ) = zwzad(ji-1,jj ) + ztswad(ji,jj) |
---|
| 1189 | ztswad(ji ,jj ) = 0.0_wp |
---|
| 1190 | zwzad (ji ,jj ) = zwzad(ji ,jj ) + ztsead(ji,jj) |
---|
| 1191 | zwzad (ji ,jj-1) = zwzad(ji ,jj-1) + ztsead(ji,jj) |
---|
| 1192 | zwzad (ji-1,jj-1) = zwzad(ji-1,jj-1) + ztsead(ji,jj) |
---|
| 1193 | ztsead(ji,jj) = 0.0_wp |
---|
| 1194 | zwzad (ji-1,jj-1) = zwzad(ji-1,jj-1) + ztnwad(ji,jj) |
---|
| 1195 | zwzad (ji-1,jj ) = zwzad(ji-1,jj ) + ztnwad(ji,jj) |
---|
| 1196 | zwzad (ji ,jj ) = zwzad(ji ,jj ) + ztnwad(ji,jj) |
---|
| 1197 | ztnwad(ji ,jj ) = 0.0_wp |
---|
| 1198 | zwzad (ji-1,jj ) = zwzad(ji-1,jj ) + ztnead(ji,jj) |
---|
| 1199 | zwzad (ji ,jj ) = zwzad(ji ,jj ) + ztnead(ji,jj) |
---|
| 1200 | zwzad (ji ,jj-1) = zwzad(ji ,jj-1) + ztnead(ji,jj) |
---|
| 1201 | ztnead(ji,jj) = 0.0_wp |
---|
| 1202 | END DO |
---|
| 1203 | END DO |
---|
| 1204 | jj=2 |
---|
| 1205 | DO ji = jpi, 2, -1 |
---|
| 1206 | zwzad (ji ,jj-1) = zwzad(ji ,jj-1) + ztswad(ji,jj) |
---|
| 1207 | zwzad (ji-1,jj-1) = zwzad(ji-1,jj-1) + ztswad(ji,jj) |
---|
| 1208 | zwzad (ji-1,jj ) = zwzad(ji-1,jj ) + ztswad(ji,jj) |
---|
| 1209 | ztswad(ji,jj) = 0.0_wp |
---|
| 1210 | zwzad (ji ,jj ) = zwzad(ji ,jj ) + ztsead(ji,jj) |
---|
| 1211 | zwzad (ji ,jj-1) = zwzad(ji ,jj-1) + ztsead(ji,jj) |
---|
| 1212 | zwzad (ji-1,jj-1) = zwzad(ji-1,jj-1) + ztsead(ji,jj) |
---|
| 1213 | ztsead(ji ,jj ) = 0.0_wp |
---|
| 1214 | zwzad (ji-1,jj-1) = zwzad(ji-1,jj-1) + ztnwad(ji,jj) |
---|
| 1215 | zwzad (ji-1,jj ) = zwzad(ji-1,jj ) + ztnwad(ji,jj) |
---|
| 1216 | zwzad (ji ,jj ) = zwzad(ji ,jj ) + ztnwad(ji,jj) |
---|
| 1217 | ztnwad(ji ,jj ) = 0.0_wp |
---|
| 1218 | zwzad (ji-1,jj ) = zwzad(ji-1,jj ) + ztnead(ji,jj) |
---|
| 1219 | zwzad (ji ,jj ) = zwzad(ji ,jj ) + ztnead(ji,jj) |
---|
| 1220 | zwzad (ji ,jj-1) = zwzad(ji ,jj-1) + ztnead(ji,jj) |
---|
| 1221 | ztnead(ji ,jj ) = 0.0_wp |
---|
| 1222 | END DO |
---|
| 1223 | ztnead(1,:) = 0.0_wp ; ztnwad(1,:) = 0.0_wp |
---|
| 1224 | ztsead(1,:) = 0.0_wp ; ztswad(1,:) = 0.0_wp |
---|
| 1225 | |
---|
| 1226 | vn_ad(:,:,jk) = vn_ad(:,:,jk) + zwyad(:,:) * e1v(:,:) * fse3v(:,:,jk) |
---|
| 1227 | un_ad(:,:,jk) = un_ad(:,:,jk) + zwxad(:,:) * e2u(:,:) * fse3u(:,:,jk) |
---|
| 1228 | zwyad(:,:) = 0.0_wp |
---|
| 1229 | zwxad(:,:) = 0.0_wp |
---|
| 1230 | |
---|
| 1231 | ! Potential vorticity and horizontal fluxes |
---|
| 1232 | ! ----------------------------------------- |
---|
| 1233 | SELECT CASE( kvor ) ! vorticity considered |
---|
| 1234 | CASE ( 1 ) |
---|
| 1235 | zwzad(:,:) = 0.0_wp |
---|
| 1236 | CASE ( 2 ) |
---|
| 1237 | rotn_ad(:,:,jk) = rotn_ad(:,:,jk) + zwzad(:,:) * ze3f_ad(:,:,jk) |
---|
| 1238 | zwzad(:,:) = 0.0_wp |
---|
| 1239 | CASE ( 3 ) |
---|
| 1240 | CALL lbc_lnk_adj( zwzad, 'F', 1._wp ) ! metric term |
---|
| 1241 | DO jj = jpjm1, 1, -1 |
---|
| 1242 | DO ji = fs_jpim1, 1, -1 ! vector opt. |
---|
| 1243 | zwzad(ji ,jj ) = zwzad(ji,jj) * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) * ze3f_ad(ji,jj,jk) |
---|
| 1244 | vn_ad(ji+1,jj ,jk) = vn_ad(ji+1,jj ,jk) + zwzad(ji,jj) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) |
---|
| 1245 | vn_ad(ji ,jj ,jk) = vn_ad(ji ,jj ,jk) + zwzad(ji,jj) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) |
---|
| 1246 | un_ad(ji ,jj+1,jk) = un_ad(ji ,jj+1,jk) - zwzad(ji,jj) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) |
---|
| 1247 | un_ad(ji ,jj ,jk) = un_ad(ji ,jj ,jk) - zwzad(ji,jj) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) |
---|
| 1248 | zwzad(ji ,jj ) = 0.0_wp |
---|
| 1249 | END DO |
---|
| 1250 | END DO |
---|
| 1251 | CASE ( 4 ) |
---|
| 1252 | rotn_ad(:,:,jk) = rotn_ad(:,:,jk) + zwzad(:,:) * ze3f_ad(:,:,jk) |
---|
| 1253 | zwzad(:,:) = 0.0_wp |
---|
| 1254 | CASE ( 5 ) |
---|
| 1255 | CALL lbc_lnk_adj( zwzad, 'F', 1._wp ) ! total (coriolis + metric) |
---|
| 1256 | DO jj = jpjm1, 1, -1 |
---|
| 1257 | DO ji = fs_jpim1, 1, -1 ! vector opt. |
---|
| 1258 | zwzad(ji ,jj ) = zwzad(ji,jj) * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) * ze3f_ad(ji,jj,jk) |
---|
| 1259 | vn_ad(ji+1,jj ,jk) = vn_ad(ji+1,jj ,jk) + zwzad(ji,jj) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) |
---|
| 1260 | vn_tl(ji ,jj ,jk) = vn_tl(ji ,jj ,jk) + zwzad(ji,jj) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) |
---|
| 1261 | un_ad(ji ,jj+1,jk) = un_ad(ji ,jj+1,jk) - zwzad(ji,jj) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) |
---|
| 1262 | un_ad(ji ,jj ,jk) = un_ad(ji ,jj ,jk) - zwzad(ji,jj) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) |
---|
| 1263 | zwzad(ji ,jj ) = 0.0_wp |
---|
| 1264 | END DO |
---|
| 1265 | END DO |
---|
| 1266 | END SELECT |
---|
| 1267 | ! ! =============== |
---|
| 1268 | END DO ! End of slab |
---|
| 1269 | ! ! =============== |
---|
| 1270 | CALL wrk_dealloc( jpi, jpj, zwx , zwy , zwz ) |
---|
| 1271 | CALL wrk_dealloc( jpi, jpj, ztnw, ztne, ztsw, ztse ) |
---|
| 1272 | CALL wrk_dealloc( jpi, jpj, zwxad , zwyad , zwzad ) |
---|
| 1273 | CALL wrk_dealloc( jpi, jpj, ztnwad, ztnead, ztswad, ztsead ) |
---|
| 1274 | CALL wrk_dealloc( jpi, jpj, jpk, ze3f_ad) |
---|
| 1275 | ! |
---|
| 1276 | IF( nn_timing == 1 ) CALL timing_stop('vor_een_adj') |
---|
| 1277 | ! |
---|
| 1278 | END SUBROUTINE vor_een_adj |
---|
| 1279 | |
---|
| 1280 | SUBROUTINE dyn_vor_init_tam |
---|
| 1281 | !!--------------------------------------------------------------------- |
---|
| 1282 | !! *** ROUTINE vor_ctl_tam *** |
---|
| 1283 | !! |
---|
| 1284 | !! ** Purpose : Control the consistency between cpp options for |
---|
| 1285 | !! tracer advection schemes |
---|
| 1286 | !!---------------------------------------------------------------------- |
---|
| 1287 | INTEGER :: ioptio ! temporary integer |
---|
| 1288 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 1289 | NAMELIST/namdyn_vor/ ln_dynvor_ens, ln_dynvor_ene, ln_dynvor_mix, ln_dynvor_een |
---|
| 1290 | !!---------------------------------------------------------------------- |
---|
| 1291 | |
---|
| 1292 | REWIND ( numnam ) ! Read Namelist namdyn_vor : Vorticity scheme options |
---|
| 1293 | READ ( numnam, namdyn_vor ) |
---|
| 1294 | |
---|
| 1295 | IF(lwp) THEN ! Namelist print |
---|
| 1296 | WRITE(numout,*) |
---|
| 1297 | WRITE(numout,*) 'dyn:vor_init_tam : vorticity term : read namelist and control the consistency' |
---|
| 1298 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
---|
| 1299 | WRITE(numout,*) ' Namelist namdyn_vor : choice of the vorticity term scheme' |
---|
| 1300 | WRITE(numout,*) ' energy conserving scheme ln_dynvor_ene = ', ln_dynvor_ene |
---|
| 1301 | WRITE(numout,*) ' enstrophy conserving scheme ln_dynvor_ens = ', ln_dynvor_ens |
---|
| 1302 | WRITE(numout,*) ' mixed enstrophy/energy conserving scheme ln_dynvor_mix = ', ln_dynvor_mix |
---|
| 1303 | WRITE(numout,*) ' enstrophy and energy conserving scheme ln_dynvor_een = ', ln_dynvor_een |
---|
| 1304 | ENDIF |
---|
| 1305 | ! If energy, enstrophy or mixed advection of momentum in vector form change the value for masks |
---|
| 1306 | ! at angles with three ocean points and one land point |
---|
| 1307 | IF( ln_vorlat .AND. ( ln_dynvor_ene .OR. ln_dynvor_ens .OR. ln_dynvor_mix ) ) THEN |
---|
| 1308 | DO jk = 1, jpk |
---|
| 1309 | DO jj = 2, jpjm1 |
---|
| 1310 | DO ji = 2, jpim1 |
---|
| 1311 | IF( tmask(ji,jj,jk)+tmask(ji+1,jj,jk)+tmask(ji,jj+1,jk)+tmask(ji+1,jj+1,jk) == 3._wp ) & |
---|
| 1312 | fmask(ji,jj,jk) = 1._wp |
---|
| 1313 | END DO |
---|
| 1314 | END DO |
---|
| 1315 | END DO |
---|
| 1316 | ! |
---|
| 1317 | CALL lbc_lnk( fmask, 'F', 1._wp ) ! Lateral boundary conditions on fmask |
---|
| 1318 | ! |
---|
| 1319 | ENDIF |
---|
| 1320 | ! |
---|
| 1321 | ioptio = 0 ! Control of vorticity scheme options |
---|
| 1322 | IF( ln_dynvor_ene ) ioptio = ioptio + 1 |
---|
| 1323 | IF( ln_dynvor_ens ) ioptio = ioptio + 1 |
---|
| 1324 | IF( ln_dynvor_mix ) ioptio = ioptio + 1 |
---|
| 1325 | IF( ln_dynvor_een ) ioptio = ioptio + 1 |
---|
| 1326 | IF( lk_esopa ) ioptio = 1 |
---|
| 1327 | |
---|
| 1328 | IF( ioptio /= 1 ) CALL ctl_stop( ' use ONE and ONLY one vorticity scheme' ) |
---|
| 1329 | |
---|
| 1330 | ! ! Set nvor (type of scheme for vorticity) |
---|
| 1331 | IF( ln_dynvor_ene ) nvor = 0 |
---|
| 1332 | IF( ln_dynvor_ens ) nvor = 1 |
---|
| 1333 | IF( ln_dynvor_mix ) nvor = 2 |
---|
| 1334 | IF( ln_dynvor_een ) nvor = 3 |
---|
| 1335 | IF( lk_esopa ) nvor = -1 |
---|
| 1336 | |
---|
| 1337 | ! ! Set ncor, nrvm, ntot (type of vorticity) |
---|
| 1338 | IF(lwp) WRITE(numout,*) |
---|
| 1339 | ncor = 1 |
---|
| 1340 | IF( ln_dynadv_vec ) THEN |
---|
| 1341 | IF(lwp) WRITE(numout,*) ' Vector form advection : vorticity = Coriolis + relative vorticity' |
---|
| 1342 | nrvm = 2 |
---|
| 1343 | ntot = 4 |
---|
| 1344 | ELSE |
---|
| 1345 | IF(lwp) WRITE(numout,*) ' Flux form advection : vorticity = Coriolis + metric term' |
---|
| 1346 | nrvm = 3 |
---|
| 1347 | ntot = 5 |
---|
| 1348 | ENDIF |
---|
| 1349 | |
---|
| 1350 | IF(lwp) THEN ! Print the choice |
---|
| 1351 | WRITE(numout,*) |
---|
| 1352 | IF( nvor == 0 ) WRITE(numout,*) ' vorticity scheme : energy conserving scheme' |
---|
| 1353 | IF( nvor == 1 ) WRITE(numout,*) ' vorticity scheme : enstrophy conserving scheme' |
---|
| 1354 | IF( nvor == 2 ) WRITE(numout,*) ' vorticity scheme : mixed enstrophy/energy conserving scheme' |
---|
| 1355 | IF( nvor == 3 ) WRITE(numout,*) ' vorticity scheme : energy and enstrophy conserving scheme' |
---|
| 1356 | IF( nvor == -1 ) WRITE(numout,*) ' esopa test: use all lateral physics options' |
---|
| 1357 | ENDIF |
---|
| 1358 | ! |
---|
| 1359 | END SUBROUTINE dyn_vor_init_tam |
---|
| 1360 | |
---|
| 1361 | SUBROUTINE dyn_vor_adj_tst( kumadt ) |
---|
| 1362 | !!----------------------------------------------------------------------- |
---|
| 1363 | !! |
---|
| 1364 | !! *** ROUTINE dyn_adv_adj_tst *** |
---|
| 1365 | !! |
---|
| 1366 | !! ** Purpose : Test the adjoint routine. |
---|
| 1367 | !! |
---|
| 1368 | !! ** Method : Verify the scalar product |
---|
| 1369 | !! |
---|
| 1370 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
| 1371 | !! |
---|
| 1372 | !! where L = tangent routine |
---|
| 1373 | !! L^T = adjoint routine |
---|
| 1374 | !! W = diagonal matrix of scale factors |
---|
| 1375 | !! dx = input perturbation (random field) |
---|
| 1376 | !! dy = L dx |
---|
| 1377 | !! |
---|
| 1378 | !! ** Action : Separate tests are applied for the following dx and dy: |
---|
| 1379 | !! |
---|
| 1380 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
---|
| 1381 | !! |
---|
| 1382 | !! History : |
---|
| 1383 | !! ! 08-08 (A. Vidard) |
---|
| 1384 | !!----------------------------------------------------------------------- |
---|
| 1385 | !! * Modules used |
---|
| 1386 | |
---|
| 1387 | !! * Arguments |
---|
| 1388 | INTEGER, INTENT(IN) :: & |
---|
| 1389 | & kumadt ! Output unit |
---|
| 1390 | |
---|
| 1391 | INTEGER :: & |
---|
| 1392 | & ji, & ! dummy loop indices |
---|
| 1393 | & jj, & |
---|
| 1394 | & jk, & |
---|
| 1395 | & jt |
---|
| 1396 | INTEGER, DIMENSION(jpi,jpj) :: & |
---|
| 1397 | & iseed_2d ! 2D seed for the random number generator |
---|
| 1398 | |
---|
| 1399 | !! * Local declarations |
---|
| 1400 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 1401 | & zun_tlin, & ! Tangent input: now u-velocity |
---|
| 1402 | & zvn_tlin, & ! Tangent input: now v-velocity |
---|
| 1403 | & zrotn_tlin, & ! Tangent input: now rot |
---|
| 1404 | & zun_adout, & ! Adjoint output: now u-velocity |
---|
| 1405 | & zvn_adout, & ! Adjoint output: now v-velocity |
---|
| 1406 | & zrotn_adout, & ! Adjoint output: now rot |
---|
| 1407 | & zua_adout, & ! Tangent output: after u-velocity |
---|
| 1408 | & zva_adout, & ! Tangent output: after v-velocity |
---|
| 1409 | & zua_tlin, & ! Tangent output: after u-velocity |
---|
| 1410 | & zva_tlin, & ! Tangent output: after v-velocity |
---|
| 1411 | & zua_tlout, & ! Tangent output: after u-velocity |
---|
| 1412 | & zva_tlout, & ! Tangent output: after v-velocity |
---|
| 1413 | & zua_adin, & ! Tangent output: after u-velocity |
---|
| 1414 | & zva_adin, & ! Tangent output: after v-velocity |
---|
| 1415 | & zau, & ! 3D random field for rotn |
---|
| 1416 | & zav, & ! 3D random field for rotn |
---|
| 1417 | & znu, & ! 3D random field for u |
---|
| 1418 | & znv ! 3D random field for v |
---|
| 1419 | REAL(KIND=wp) :: & |
---|
| 1420 | & zsp1, & ! scalar product involving the tangent routine |
---|
| 1421 | & zsp1_1, & ! scalar product components |
---|
| 1422 | & zsp1_2, & |
---|
| 1423 | & zsp2, & ! scalar product involving the adjoint routine |
---|
| 1424 | & zsp2_1, & ! scalar product components |
---|
| 1425 | & zsp2_2, & |
---|
| 1426 | & zsp2_3, & |
---|
| 1427 | & zsp2_4, & |
---|
| 1428 | & zsp2_5 |
---|
| 1429 | CHARACTER(LEN=14) :: cl_name |
---|
| 1430 | |
---|
| 1431 | ! Allocate memory |
---|
| 1432 | |
---|
| 1433 | ALLOCATE( & |
---|
| 1434 | & zun_tlin(jpi,jpj,jpk), & |
---|
| 1435 | & zvn_tlin(jpi,jpj,jpk), & |
---|
| 1436 | & zrotn_tlin(jpi,jpj,jpk), & |
---|
| 1437 | & zun_adout(jpi,jpj,jpk), & |
---|
| 1438 | & zvn_adout(jpi,jpj,jpk), & |
---|
| 1439 | & zrotn_adout(jpi,jpj,jpk), & |
---|
| 1440 | & zua_adout(jpi,jpj,jpk), & |
---|
| 1441 | & zva_adout(jpi,jpj,jpk), & |
---|
| 1442 | & zua_tlin(jpi,jpj,jpk), & |
---|
| 1443 | & zva_tlin(jpi,jpj,jpk), & |
---|
| 1444 | & zua_tlout(jpi,jpj,jpk), & |
---|
| 1445 | & zva_tlout(jpi,jpj,jpk), & |
---|
| 1446 | & zua_adin(jpi,jpj,jpk), & |
---|
| 1447 | & zva_adin(jpi,jpj,jpk), & |
---|
| 1448 | & zau(jpi,jpj,jpk), & |
---|
| 1449 | & zav(jpi,jpj,jpk), & |
---|
| 1450 | & znu(jpi,jpj,jpk), & |
---|
| 1451 | & znv(jpi,jpj,jpk) & |
---|
| 1452 | & ) |
---|
| 1453 | |
---|
| 1454 | ! init ntot parameter |
---|
| 1455 | CALL dyn_vor_init_tam ! initialisation & control of options |
---|
| 1456 | |
---|
| 1457 | DO jt = 1, 2 |
---|
| 1458 | IF (jt == 1) nvor=1 ! enstrophy conserving scheme |
---|
| 1459 | IF (jt == 2) nvor=3 ! energy and enstrophy conserving scheme |
---|
| 1460 | |
---|
| 1461 | ! Initialize rotn |
---|
| 1462 | !AV: it calls cla_init the tries to reallocate already allocated arrays...nasty |
---|
| 1463 | !AV CALL div_cur ( nit000 ) |
---|
| 1464 | |
---|
| 1465 | !================================================================== |
---|
| 1466 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
---|
| 1467 | ! dy = ( hdivb_tl, hdivn_tl ) |
---|
| 1468 | !================================================================== |
---|
| 1469 | |
---|
| 1470 | !-------------------------------------------------------------------- |
---|
| 1471 | ! Reset the tangent and adjoint variables |
---|
| 1472 | !-------------------------------------------------------------------- |
---|
| 1473 | |
---|
| 1474 | zun_tlin(:,:,:) = 0.0_wp |
---|
| 1475 | zvn_tlin(:,:,:) = 0.0_wp |
---|
| 1476 | zrotn_tlin(:,:,:) = 0.0_wp |
---|
| 1477 | zun_adout(:,:,:) = 0.0_wp |
---|
| 1478 | zvn_adout(:,:,:) = 0.0_wp |
---|
| 1479 | zrotn_adout(:,:,:) = 0.0_wp |
---|
| 1480 | zua_tlout(:,:,:) = 0.0_wp |
---|
| 1481 | zva_tlout(:,:,:) = 0.0_wp |
---|
| 1482 | zua_adin(:,:,:) = 0.0_wp |
---|
| 1483 | zva_adin(:,:,:) = 0.0_wp |
---|
| 1484 | zua_adout(:,:,:) = 0.0_wp |
---|
| 1485 | zva_adout(:,:,:) = 0.0_wp |
---|
| 1486 | zua_tlin(:,:,:) = 0.0_wp |
---|
| 1487 | zva_tlin(:,:,:) = 0.0_wp |
---|
| 1488 | znu(:,:,:) = 0.0_wp |
---|
| 1489 | znv(:,:,:) = 0.0_wp |
---|
| 1490 | zau(:,:,:) = 0.0_wp |
---|
| 1491 | zav(:,:,:) = 0.0_wp |
---|
| 1492 | |
---|
| 1493 | |
---|
| 1494 | un_tl(:,:,:) = 0.0_wp |
---|
| 1495 | vn_tl(:,:,:) = 0.0_wp |
---|
| 1496 | ua_tl(:,:,:) = 0.0_wp |
---|
| 1497 | va_tl(:,:,:) = 0.0_wp |
---|
| 1498 | un_ad(:,:,:) = 0.0_wp |
---|
| 1499 | vn_ad(:,:,:) = 0.0_wp |
---|
| 1500 | ua_ad(:,:,:) = 0.0_wp |
---|
| 1501 | va_ad(:,:,:) = 0.0_wp |
---|
| 1502 | rotn_tl(:,:,:) = 0.0_wp |
---|
| 1503 | rotn_ad(:,:,:) = 0.0_wp |
---|
| 1504 | |
---|
| 1505 | !-------------------------------------------------------------------- |
---|
| 1506 | ! Initialize the tangent input with random noise: dx |
---|
| 1507 | !-------------------------------------------------------------------- |
---|
| 1508 | |
---|
| 1509 | CALL grid_random( znu, 'U', 0.0_wp, stdu ) |
---|
| 1510 | CALL grid_random( znv, 'V', 0.0_wp, stdv ) |
---|
| 1511 | CALL grid_random( zau, 'U', 0.0_wp, stdu ) |
---|
| 1512 | CALL grid_random( zav, 'V', 0.0_wp, stdv ) |
---|
| 1513 | |
---|
| 1514 | DO jk = 1, jpk |
---|
| 1515 | DO jj = nldj, nlej |
---|
| 1516 | DO ji = nldi, nlei |
---|
| 1517 | zun_tlin(ji,jj,jk) = znu(ji,jj,jk) |
---|
| 1518 | zvn_tlin(ji,jj,jk) = znv(ji,jj,jk) |
---|
| 1519 | zua_tlin(ji,jj,jk) = zau(ji,jj,jk) |
---|
| 1520 | zva_tlin(ji,jj,jk) = zav(ji,jj,jk) |
---|
| 1521 | END DO |
---|
| 1522 | END DO |
---|
| 1523 | END DO |
---|
| 1524 | un_tl(:,:,:) = zun_tlin(:,:,:) |
---|
| 1525 | vn_tl(:,:,:) = zvn_tlin(:,:,:) |
---|
| 1526 | ua_tl(:,:,:) = zua_tlin(:,:,:) |
---|
| 1527 | va_tl(:,:,:) = zva_tlin(:,:,:) |
---|
| 1528 | |
---|
| 1529 | ! initialize rotn_tl with noise |
---|
| 1530 | CALL div_cur_tan ( nit000 ) |
---|
| 1531 | |
---|
| 1532 | DO jk = 1, jpk |
---|
| 1533 | DO jj = nldj, nlej |
---|
| 1534 | DO ji = nldi, nlei |
---|
| 1535 | zrotn_tlin(ji,jj,jk) = rotn_tl(ji,jj,jk) |
---|
| 1536 | END DO |
---|
| 1537 | END DO |
---|
| 1538 | END DO |
---|
| 1539 | rotn_tl(:,:,:) = zrotn_tlin(:,:,:) |
---|
| 1540 | |
---|
| 1541 | |
---|
| 1542 | IF (nvor == 1 ) CALL vor_ens_tan( nit000, ntot, ua_tl, va_tl ) |
---|
| 1543 | IF (nvor == 3 ) CALL vor_een_tan( nit000, ntot, ua_tl, va_tl ) |
---|
| 1544 | zua_tlout(:,:,:) = ua_tl(:,:,:) |
---|
| 1545 | zva_tlout(:,:,:) = va_tl(:,:,:) |
---|
| 1546 | |
---|
| 1547 | !-------------------------------------------------------------------- |
---|
| 1548 | ! Initialize the adjoint variables: dy^* = W dy |
---|
| 1549 | !-------------------------------------------------------------------- |
---|
| 1550 | |
---|
| 1551 | DO jk = 1, jpk |
---|
| 1552 | DO jj = nldj, nlej |
---|
| 1553 | DO ji = nldi, nlei |
---|
| 1554 | zua_adin(ji,jj,jk) = zua_tlout(ji,jj,jk) & |
---|
| 1555 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) & |
---|
| 1556 | & * umask(ji,jj,jk) |
---|
| 1557 | zva_adin(ji,jj,jk) = zva_tlout(ji,jj,jk) & |
---|
| 1558 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) & |
---|
| 1559 | & * vmask(ji,jj,jk) |
---|
| 1560 | END DO |
---|
| 1561 | END DO |
---|
| 1562 | END DO |
---|
| 1563 | !-------------------------------------------------------------------- |
---|
| 1564 | ! Compute the scalar product: ( L dx )^T W dy |
---|
| 1565 | !-------------------------------------------------------------------- |
---|
| 1566 | |
---|
| 1567 | zsp1_1 = DOT_PRODUCT( zua_tlout, zua_adin ) |
---|
| 1568 | zsp1_2 = DOT_PRODUCT( zva_tlout, zva_adin ) |
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| 1569 | zsp1 = zsp1_1 + zsp1_2 |
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| 1570 | |
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| 1571 | !-------------------------------------------------------------------- |
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| 1572 | ! Call the adjoint routine: dx^* = L^T dy^* |
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| 1573 | !-------------------------------------------------------------------- |
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| 1574 | |
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| 1575 | ua_ad(:,:,:) = zua_adin(:,:,:) |
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| 1576 | va_ad(:,:,:) = zva_adin(:,:,:) |
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| 1577 | |
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| 1578 | |
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| 1579 | IF (nvor == 1 ) CALL vor_ens_adj( nitend, ntot, ua_ad, va_ad ) |
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| 1580 | IF (nvor == 3 ) CALL vor_een_adj( nitend, ntot, ua_ad, va_ad ) |
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| 1581 | zun_adout(:,:,:) = un_ad(:,:,:) |
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| 1582 | zvn_adout(:,:,:) = vn_ad(:,:,:) |
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| 1583 | zrotn_adout(:,:,:) = rotn_ad(:,:,:) |
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| 1584 | zua_adout(:,:,:) = ua_ad(:,:,:) |
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| 1585 | zva_adout(:,:,:) = va_ad(:,:,:) |
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| 1586 | |
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| 1587 | zsp2_1 = DOT_PRODUCT( zun_tlin, zun_adout ) |
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| 1588 | zsp2_2 = DOT_PRODUCT( zvn_tlin, zvn_adout ) |
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| 1589 | zsp2_3 = DOT_PRODUCT( zrotn_tlin, zrotn_adout ) |
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| 1590 | zsp2_4 = DOT_PRODUCT( zua_tlin, zua_adout ) |
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| 1591 | zsp2_5 = DOT_PRODUCT( zva_tlin, zva_adout ) |
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| 1592 | zsp2 = zsp2_1 + zsp2_2 + zsp2_3 + zsp2_4 + zsp2_5 |
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| 1593 | |
---|
| 1594 | ! Compare the scalar products |
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| 1595 | |
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| 1596 | ! 14 char:'12345678901234' |
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| 1597 | IF (nvor == 1 ) cl_name = 'dynvor_adj ens' |
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| 1598 | IF (nvor == 3 ) cl_name = 'dynvor_adj een' |
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| 1599 | |
---|
| 1600 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
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| 1601 | END DO |
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| 1602 | |
---|
| 1603 | DEALLOCATE( & |
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| 1604 | & zun_tlin, & |
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| 1605 | & zvn_tlin, & |
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| 1606 | & zrotn_tlin, & |
---|
| 1607 | & zun_adout, & |
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| 1608 | & zvn_adout, & |
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| 1609 | & zrotn_adout, & |
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| 1610 | & zua_adout, & |
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| 1611 | & zva_adout, & |
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| 1612 | & zua_tlin, & |
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| 1613 | & zva_tlin, & |
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| 1614 | & zua_tlout, & |
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| 1615 | & zva_tlout, & |
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| 1616 | & zua_adin, & |
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| 1617 | & zva_adin, & |
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| 1618 | & zau, & |
---|
| 1619 | & zav, & |
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| 1620 | & znu, & |
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| 1621 | & znv & |
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| 1622 | & ) |
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| 1623 | END SUBROUTINE dyn_vor_adj_tst |
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| 1624 | !!============================================================================= |
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| 1625 | #endif |
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| 1626 | END MODULE dynvor_tam |
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