[3] | 1 | MODULE tranxt |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE tranxt *** |
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| 4 | !! Ocean active tracers: time stepping on temperature and salinity |
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| 5 | !!====================================================================== |
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[1110] | 6 | !! History : OPA ! 1991-11 (G. Madec) Original code |
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| 7 | !! 7.0 ! 1993-03 (M. Guyon) symetrical conditions |
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| 8 | !! 8.0 ! 1996-02 (G. Madec & M. Imbard) opa release 8.0 |
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| 9 | !! - ! 1996-04 (A. Weaver) Euler forward step |
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| 10 | !! 8.2 ! 1999-02 (G. Madec, N. Grima) semi-implicit pressure grad. |
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| 11 | !! NEMO 1.0 ! 2002-08 (G. Madec) F90: Free form and module |
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| 12 | !! - ! 2002-11 (C. Talandier, A-M Treguier) Open boundaries |
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| 13 | !! - ! 2005-04 (C. Deltel) Add Asselin trend in the ML budget |
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| 14 | !! 2.0 ! 2006-02 (L. Debreu, C. Mazauric) Agrif implementation |
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| 15 | !! 3.0 ! 2008-06 (G. Madec) time stepping always done in trazdf |
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[1438] | 16 | !! 3.1 ! 2009-02 (G. Madec, R. Benshila) re-introduce the vvl option |
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[3] | 17 | !!---------------------------------------------------------------------- |
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[503] | 18 | |
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| 19 | !!---------------------------------------------------------------------- |
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[1110] | 20 | !! tra_nxt : time stepping on temperature and salinity |
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[1438] | 21 | !! tra_nxt_fix : time stepping on temperature and salinity : fixed volume case |
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| 22 | !! tra_nxt_vvl : time stepping on temperature and salinity : variable volume case |
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[3] | 23 | !!---------------------------------------------------------------------- |
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| 24 | USE oce ! ocean dynamics and tracers variables |
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| 25 | USE dom_oce ! ocean space and time domain variables |
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| 26 | USE zdf_oce ! ??? |
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[1438] | 27 | USE domvvl ! variable volume |
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[1601] | 28 | USE dynspg_oce ! surface pressure gradient variables |
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| 29 | USE dynhpg ! hydrostatic pressure gradient |
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[888] | 30 | USE trdmod_oce ! ocean variables trends |
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| 31 | USE trdmod ! ocean active tracers trends |
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| 32 | USE phycst |
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| 33 | USE obctra ! open boundary condition (obc_tra routine) |
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[911] | 34 | USE bdytra ! Unstructured open boundary condition (bdy_tra routine) |
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[3] | 35 | USE in_out_manager ! I/O manager |
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| 36 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[258] | 37 | USE prtctl ! Print control |
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[389] | 38 | USE agrif_opa_update |
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| 39 | USE agrif_opa_interp |
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[3] | 40 | |
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| 41 | IMPLICIT NONE |
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| 42 | PRIVATE |
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| 43 | |
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[1110] | 44 | PUBLIC tra_nxt ! routine called by step.F90 |
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[592] | 45 | |
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[1438] | 46 | REAL(wp), DIMENSION(jpk) :: r2dt_t ! vertical profile time step, =2*rdttra (leapfrog) or =rdttra (Euler) |
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| 47 | |
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[592] | 48 | !! * Substitutions |
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| 49 | # include "domzgr_substitute.h90" |
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[3] | 50 | !!---------------------------------------------------------------------- |
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[1110] | 51 | !! NEMO/OPA 3.0 , LOCEAN-IPSL (2008) |
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[1146] | 52 | !! $Id$ |
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[503] | 53 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[3] | 54 | !!---------------------------------------------------------------------- |
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| 55 | |
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| 56 | CONTAINS |
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| 57 | |
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| 58 | SUBROUTINE tra_nxt( kt ) |
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| 59 | !!---------------------------------------------------------------------- |
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| 60 | !! *** ROUTINE tranxt *** |
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| 61 | !! |
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[1110] | 62 | !! ** Purpose : Apply the boundary condition on the after temperature |
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| 63 | !! and salinity fields, achieved the time stepping by adding |
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| 64 | !! the Asselin filter on now fields and swapping the fields. |
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[3] | 65 | !! |
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[1110] | 66 | !! ** Method : At this stage of the computation, ta and sa are the |
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| 67 | !! after temperature and salinity as the time stepping has |
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| 68 | !! been performed in trazdf_imp or trazdf_exp module. |
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[3] | 69 | !! |
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[1110] | 70 | !! - Apply lateral boundary conditions on (ta,sa) |
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| 71 | !! at the local domain boundaries through lbc_lnk call, |
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| 72 | !! at the radiative open boundaries (lk_obc=T), |
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| 73 | !! at the relaxed open boundaries (lk_bdy=T), and |
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| 74 | !! at the AGRIF zoom boundaries (lk_agrif=T) |
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| 75 | !! |
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[1438] | 76 | !! - Update lateral boundary conditions on AGRIF children |
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| 77 | !! domains (lk_agrif=T) |
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[1110] | 78 | !! |
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| 79 | !! ** Action : - (tb,sb) and (tn,sn) ready for the next time step |
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| 80 | !! - (ta,sa) time averaged (t,s) (ln_dynhpg_imp = T) |
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[503] | 81 | !!---------------------------------------------------------------------- |
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| 82 | USE oce, ONLY : ztrdt => ua ! use ua as 3D workspace |
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| 83 | USE oce, ONLY : ztrds => va ! use va as 3D workspace |
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[3] | 84 | !! |
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[503] | 85 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 86 | !! |
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[1438] | 87 | INTEGER :: jk ! dummy loop indices |
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| 88 | REAL(wp) :: zfact ! temporary scalars |
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[3] | 89 | !!---------------------------------------------------------------------- |
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| 90 | |
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[1110] | 91 | IF( kt == nit000 ) THEN |
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| 92 | IF(lwp) WRITE(numout,*) |
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| 93 | IF(lwp) WRITE(numout,*) 'tra_nxt : achieve the time stepping by Asselin filter and array swap' |
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| 94 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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[592] | 95 | ENDIF |
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| 96 | |
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[1110] | 97 | ! Update after tracer on domain lateral boundaries |
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| 98 | ! |
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| 99 | CALL lbc_lnk( ta, 'T', 1. ) ! local domain boundaries (T-point, unchanged sign) |
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[3] | 100 | CALL lbc_lnk( sa, 'T', 1. ) |
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[1110] | 101 | ! |
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[3] | 102 | #if defined key_obc |
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[1110] | 103 | CALL obc_tra( kt ) ! OBC open boundaries |
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[3] | 104 | #endif |
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[1110] | 105 | #if defined key_bdy |
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| 106 | CALL bdy_tra( kt ) ! BDY open boundaries |
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| 107 | #endif |
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[392] | 108 | #if defined key_agrif |
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[1110] | 109 | CALL Agrif_tra ! AGRIF zoom boundaries |
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[389] | 110 | #endif |
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[1438] | 111 | |
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| 112 | ! set time step size (Euler/Leapfrog) |
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| 113 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; r2dt_t(:) = rdttra(:) ! at nit000 (Euler) |
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| 114 | ELSEIF( kt <= nit000 + 1 ) THEN ; r2dt_t(:) = 2.* rdttra(:) ! at nit000 or nit000+1 (Leapfrog) |
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| 115 | ENDIF |
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[3] | 116 | |
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[1110] | 117 | ! trends computation initialisation |
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| 118 | IF( l_trdtra ) THEN ! store now fields before applying the Asselin filter |
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| 119 | ztrdt(:,:,:) = tn(:,:,:) |
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| 120 | ztrds(:,:,:) = sn(:,:,:) |
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| 121 | ENDIF |
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| 122 | |
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[1438] | 123 | ! Leap-Frog + Asselin filter time stepping |
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| 124 | IF( lk_vvl ) THEN ; CALL tra_nxt_vvl( kt ) ! variable volume level (vvl) |
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| 125 | ELSE ; CALL tra_nxt_fix( kt ) ! fixed volume level |
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| 126 | ENDIF |
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| 127 | |
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| 128 | #if defined key_agrif |
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| 129 | ! Update tracer at AGRIF zoom boundaries |
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| 130 | IF( .NOT.Agrif_Root() ) CALL Agrif_Update_Tra( kt ) ! children only |
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| 131 | #endif |
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| 132 | |
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| 133 | ! trends computation |
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| 134 | IF( l_trdtra ) THEN ! trend of the Asselin filter (tb filtered - tb)/dt |
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[1110] | 135 | DO jk = 1, jpkm1 |
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[1438] | 136 | zfact = 1.e0 / r2dt_t(jk) |
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| 137 | ztrdt(:,:,jk) = ( tb(:,:,jk) - ztrdt(:,:,jk) ) * zfact |
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| 138 | ztrds(:,:,jk) = ( sb(:,:,jk) - ztrds(:,:,jk) ) * zfact |
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[1110] | 139 | END DO |
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[1438] | 140 | CALL trd_mod( ztrdt, ztrds, jptra_trd_atf, 'TRA', kt ) |
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| 141 | END IF |
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| 142 | |
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| 143 | ! ! control print |
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| 144 | IF(ln_ctl) CALL prt_ctl( tab3d_1=tn, clinfo1=' nxt - Tn: ', mask1=tmask, & |
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| 145 | & tab3d_2=sn, clinfo2= ' Sn: ', mask2=tmask ) |
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| 146 | ! |
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| 147 | END SUBROUTINE tra_nxt |
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| 148 | |
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| 149 | |
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| 150 | SUBROUTINE tra_nxt_fix( kt ) |
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| 151 | !!---------------------------------------------------------------------- |
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| 152 | !! *** ROUTINE tra_nxt_fix *** |
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| 153 | !! |
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| 154 | !! ** Purpose : fixed volume: apply the Asselin time filter and |
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| 155 | !! swap the tracer fields. |
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| 156 | !! |
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| 157 | !! ** Method : - Apply a Asselin time filter on now fields. |
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| 158 | !! - save in (ta,sa) an average over the three time levels |
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| 159 | !! which will be used to compute rdn and thus the semi-implicit |
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| 160 | !! hydrostatic pressure gradient (ln_dynhpg_imp = T) |
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| 161 | !! - swap tracer fields to prepare the next time_step. |
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| 162 | !! This can be summurized for tempearture as: |
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| 163 | !! ztm = (ta+2tn+tb)/4 ln_dynhpg_imp = T |
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| 164 | !! ztm = 0 otherwise |
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| 165 | !! tb = tn + atfp*[ tb - 2 tn + ta ] |
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| 166 | !! tn = ta |
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| 167 | !! ta = ztm (NB: reset to 0 after eos_bn2 call) |
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| 168 | !! |
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| 169 | !! ** Action : - (tb,sb) and (tn,sn) ready for the next time step |
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| 170 | !! - (ta,sa) time averaged (t,s) (ln_dynhpg_imp = T) |
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| 171 | !!---------------------------------------------------------------------- |
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| 172 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 173 | !! |
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| 174 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 175 | REAL(wp) :: ztm, ztf ! temporary scalars |
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| 176 | REAL(wp) :: zsm, zsf ! - - |
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| 177 | !!---------------------------------------------------------------------- |
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| 178 | |
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| 179 | IF( kt == nit000 ) THEN |
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| 180 | IF(lwp) WRITE(numout,*) |
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| 181 | IF(lwp) WRITE(numout,*) 'tra_nxt_fix : time stepping' |
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| 182 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 183 | ENDIF |
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| 184 | ! |
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| 185 | ! ! ----------------------- ! |
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| 186 | IF( ln_dynhpg_imp ) THEN ! semi-implicite hpg case ! |
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| 187 | ! ! ----------------------- ! |
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| 188 | ! |
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| 189 | IF( neuler == 0 .AND. kt == nit000 ) THEN ! Euler time-stepping at first time-step |
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| 190 | DO jk = 1, jpkm1 ! (only swap) |
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| 191 | DO jj = 1, jpj |
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[3] | 192 | DO ji = 1, jpi |
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[1438] | 193 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tb <-- tn |
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[3] | 194 | sn(ji,jj,jk) = sa(ji,jj,jk) |
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| 195 | END DO |
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| 196 | END DO |
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[1110] | 197 | END DO |
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[1438] | 198 | ELSE ! general case (Leapfrog + Asselin filter |
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[1110] | 199 | DO jk = 1, jpkm1 |
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[3] | 200 | DO jj = 1, jpj |
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| 201 | DO ji = 1, jpi |
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[1438] | 202 | ztm = 0.25 * ( ta(ji,jj,jk) + 2.* tn(ji,jj,jk) + tb(ji,jj,jk) ) ! mean t |
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| 203 | zsm = 0.25 * ( sa(ji,jj,jk) + 2.* sn(ji,jj,jk) + sb(ji,jj,jk) ) |
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| 204 | ztf = atfp * ( ta(ji,jj,jk) - 2.* tn(ji,jj,jk) + tb(ji,jj,jk) ) ! Asselin filter on t |
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| 205 | zsf = atfp * ( sa(ji,jj,jk) - 2.* sn(ji,jj,jk) + sb(ji,jj,jk) ) |
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| 206 | tb(ji,jj,jk) = tn(ji,jj,jk) + ztf ! tb <-- filtered tn |
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| 207 | sb(ji,jj,jk) = sn(ji,jj,jk) + zsf |
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| 208 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tn <-- ta |
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[3] | 209 | sn(ji,jj,jk) = sa(ji,jj,jk) |
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[1438] | 210 | ta(ji,jj,jk) = ztm ! ta <-- mean t |
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| 211 | sa(ji,jj,jk) = zsm |
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[3] | 212 | END DO |
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| 213 | END DO |
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[1110] | 214 | END DO |
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[3] | 215 | ENDIF |
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[1438] | 216 | ! ! ----------------------- ! |
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| 217 | ELSE ! explicit hpg case ! |
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| 218 | ! ! ----------------------- ! |
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[1110] | 219 | ! |
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[1438] | 220 | IF( neuler == 0 .AND. kt == nit000 ) THEN ! Euler time-stepping at first time-step |
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| 221 | DO jk = 1, jpkm1 |
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| 222 | DO jj = 1, jpj |
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| 223 | DO ji = 1, jpi |
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| 224 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tn <-- ta |
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| 225 | sn(ji,jj,jk) = sa(ji,jj,jk) |
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| 226 | END DO |
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| 227 | END DO |
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| 228 | END DO |
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| 229 | ELSE ! general case (Leapfrog + Asselin filter |
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| 230 | DO jk = 1, jpkm1 |
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| 231 | DO jj = 1, jpj |
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| 232 | DO ji = 1, jpi |
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| 233 | ztf = atfp * ( ta(ji,jj,jk) - 2.* tn(ji,jj,jk) + tb(ji,jj,jk) ) ! Asselin filter on t |
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| 234 | zsf = atfp * ( sa(ji,jj,jk) - 2.* sn(ji,jj,jk) + sb(ji,jj,jk) ) |
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| 235 | tb(ji,jj,jk) = tn(ji,jj,jk) + ztf ! tb <-- filtered tn |
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| 236 | sb(ji,jj,jk) = sn(ji,jj,jk) + zsf |
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| 237 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tn <-- ta |
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| 238 | sn(ji,jj,jk) = sa(ji,jj,jk) |
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| 239 | END DO |
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| 240 | END DO |
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| 241 | END DO |
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| 242 | ENDIF |
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[1110] | 243 | ENDIF |
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[1438] | 244 | ! |
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| 245 | END SUBROUTINE tra_nxt_fix |
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[3] | 246 | |
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[1110] | 247 | |
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[1438] | 248 | SUBROUTINE tra_nxt_vvl( kt ) |
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| 249 | !!---------------------------------------------------------------------- |
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| 250 | !! *** ROUTINE tra_nxt_vvl *** |
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| 251 | !! |
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| 252 | !! ** Purpose : Time varying volume: apply the Asselin time filter |
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| 253 | !! and swap the tracer fields. |
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| 254 | !! |
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| 255 | !! ** Method : - Apply a thickness weighted Asselin time filter on now fields. |
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| 256 | !! - save in (ta,sa) a thickness weighted average over the three |
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| 257 | !! time levels which will be used to compute rdn and thus the semi- |
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| 258 | !! implicit hydrostatic pressure gradient (ln_dynhpg_imp = T) |
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| 259 | !! - swap tracer fields to prepare the next time_step. |
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| 260 | !! This can be summurized for tempearture as: |
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| 261 | !! ztm = (e3t_a*ta+2*e3t_n*tn+e3t_b*tb) ln_dynhpg_imp = T |
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| 262 | !! /(e3t_a +2*e3t_n +e3t_b ) |
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| 263 | !! ztm = 0 otherwise |
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| 264 | !! tb = ( e3t_n*tn + atfp*[ e3t_b*tb - 2 e3t_n*tn + e3t_a*ta ] ) |
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| 265 | !! /( e3t_n + atfp*[ e3t_b - 2 e3t_n + e3t_a ] ) |
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| 266 | !! tn = ta |
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| 267 | !! ta = zt (NB: reset to 0 after eos_bn2 call) |
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| 268 | !! |
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| 269 | !! ** Action : - (tb,sb) and (tn,sn) ready for the next time step |
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| 270 | !! - (ta,sa) time averaged (t,s) (ln_dynhpg_imp = T) |
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| 271 | !!---------------------------------------------------------------------- |
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| 272 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 273 | !! |
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| 274 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 275 | REAL(wp) :: ztm , ztc_f , ztf , ztca, ztcn, ztcb ! temporary scalar |
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| 276 | REAL(wp) :: zsm , zsc_f , zsf , zsca, zscn, zscb ! - - |
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| 277 | REAL(wp) :: ze3mr, ze3fr ! - - |
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| 278 | REAL(wp) :: ze3t_b, ze3t_n, ze3t_a, ze3t_f ! - - |
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| 279 | !!---------------------------------------------------------------------- |
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| 280 | |
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| 281 | IF( kt == nit000 ) THEN |
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| 282 | IF(lwp) WRITE(numout,*) |
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| 283 | IF(lwp) WRITE(numout,*) 'tra_nxt_vvl : time stepping' |
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| 284 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 285 | ENDIF |
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| 286 | |
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| 287 | ! ! ----------------------- ! |
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| 288 | IF( ln_dynhpg_imp ) THEN ! semi-implicite hpg case ! |
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| 289 | ! ! ----------------------- ! |
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| 290 | ! |
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| 291 | IF( neuler == 0 .AND. kt == nit000 ) THEN ! Euler time-stepping at first time-step |
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| 292 | DO jk = 1, jpkm1 ! (only swap) |
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| 293 | DO jj = 1, jpj |
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| 294 | DO ji = 1, jpi |
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| 295 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tn <-- ta |
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| 296 | sn(ji,jj,jk) = sa(ji,jj,jk) |
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| 297 | END DO |
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| 298 | END DO |
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| 299 | END DO |
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| 300 | ELSE |
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| 301 | DO jk = 1, jpkm1 |
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| 302 | DO jj = 1, jpj |
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| 303 | DO ji = 1, jpi |
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| 304 | ze3t_b = fse3t_b(ji,jj,jk) |
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| 305 | ze3t_n = fse3t_n(ji,jj,jk) |
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| 306 | ze3t_a = fse3t_a(ji,jj,jk) |
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| 307 | ! ! tracer content at Before, now and after |
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| 308 | ztcb = tb(ji,jj,jk) * ze3t_b ; zscb = sb(ji,jj,jk) * ze3t_b |
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| 309 | ztcn = tn(ji,jj,jk) * ze3t_n ; zscn = sn(ji,jj,jk) * ze3t_n |
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| 310 | ztca = ta(ji,jj,jk) * ze3t_a ; zsca = sa(ji,jj,jk) * ze3t_a |
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| 311 | ! |
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| 312 | ! ! Asselin filter on thickness and tracer content |
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| 313 | ze3t_f = atfp * ( ze3t_a - 2.* ze3t_n + ze3t_b ) |
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| 314 | ztc_f = atfp * ( ztca - 2.* ztcn + ztcb ) |
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| 315 | zsc_f = atfp * ( zsca - 2.* zscn + zscb ) |
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| 316 | ! |
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| 317 | ! ! filtered tracer including the correction |
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| 318 | ze3fr = 1.e0 / ( ze3t_n + ze3t_f ) |
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| 319 | ztf = ze3fr * ( ztcn + ztc_f ) |
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| 320 | zsf = ze3fr * ( zscn + zsc_f ) |
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| 321 | ! ! mean thickness and tracer |
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| 322 | ze3mr = 1.e0 / ( ze3t_a + 2.* ze3t_n + ze3t_b ) |
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| 323 | ztm = ze3mr * ( ztca + 2.* ztcn + ztcb ) |
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| 324 | zsm = ze3mr * ( zsca + 2.* zscn + zscb ) |
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| 325 | !!gm mean e3t have to be saved and used in dynhpg or it can be recomputed in dynhpg !! |
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| 326 | !!gm e3t_m(ji,jj,jk) = 0.25 / ze3mr |
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| 327 | ! ! swap of arrays |
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| 328 | tb(ji,jj,jk) = ztf ! tb <-- tn + filter |
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| 329 | sb(ji,jj,jk) = zsf |
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| 330 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tn <-- ta |
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| 331 | sn(ji,jj,jk) = sa(ji,jj,jk) |
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| 332 | ta(ji,jj,jk) = ztm ! ta <-- mean t |
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| 333 | sa(ji,jj,jk) = zsm |
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| 334 | END DO |
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| 335 | END DO |
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| 336 | END DO |
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| 337 | ENDIF |
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| 338 | ! ! ----------------------- ! |
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| 339 | ELSE ! explicit hpg case ! |
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| 340 | ! ! ----------------------- ! |
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| 341 | ! |
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| 342 | IF( neuler == 0 .AND. kt == nit000 ) THEN ! case of Euler time-stepping at first time-step |
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| 343 | DO jk = 1, jpkm1 ! No filter nor thickness weighting computation required |
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| 344 | DO jj = 1, jpj ! ONLY swap |
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| 345 | DO ji = 1, jpi |
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| 346 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tn <-- ta |
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| 347 | sn(ji,jj,jk) = sa(ji,jj,jk) |
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| 348 | END DO |
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| 349 | END DO |
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| 350 | END DO |
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| 351 | ! ! general case (Leapfrog + Asselin filter) |
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| 352 | ELSE ! apply filter on thickness weighted tracer and swap |
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| 353 | DO jk = 1, jpkm1 |
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| 354 | DO jj = 1, jpj |
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| 355 | DO ji = 1, jpi |
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| 356 | ze3t_b = fse3t_b(ji,jj,jk) |
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| 357 | ze3t_n = fse3t_n(ji,jj,jk) |
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| 358 | ze3t_a = fse3t_a(ji,jj,jk) |
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| 359 | ! ! tracer content at Before, now and after |
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| 360 | ztcb = tb(ji,jj,jk) * ze3t_b ; zscb = sb(ji,jj,jk) * ze3t_b |
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| 361 | ztcn = tn(ji,jj,jk) * ze3t_n ; zscn = sn(ji,jj,jk) * ze3t_n |
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| 362 | ztca = ta(ji,jj,jk) * ze3t_a ; zsca = sa(ji,jj,jk) * ze3t_a |
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| 363 | ! |
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| 364 | ! ! Asselin filter on thickness and tracer content |
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| 365 | ze3t_f = atfp * ( ze3t_a - 2.* ze3t_n + ze3t_b ) |
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| 366 | ztc_f = atfp * ( ztca - 2.* ztcn + ztcb ) |
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| 367 | zsc_f = atfp * ( zsca - 2.* zscn + zscb ) |
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| 368 | ! |
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| 369 | ! ! filtered tracer including the correction |
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| 370 | ze3fr = 1.e0 / ( ze3t_n + ze3t_f ) |
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| 371 | ztf = ( ztcn + ztc_f ) * ze3fr |
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| 372 | zsf = ( zscn + zsc_f ) * ze3fr |
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| 373 | ! ! swap of arrays |
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| 374 | tb(ji,jj,jk) = ztf ! tb <-- tn filtered |
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| 375 | sb(ji,jj,jk) = zsf |
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| 376 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tn <-- ta |
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| 377 | sn(ji,jj,jk) = sa(ji,jj,jk) |
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| 378 | END DO |
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| 379 | END DO |
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| 380 | END DO |
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| 381 | ENDIF |
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| 382 | ENDIF |
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[503] | 383 | ! |
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[1438] | 384 | END SUBROUTINE tra_nxt_vvl |
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[3] | 385 | |
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| 386 | !!====================================================================== |
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| 387 | END MODULE tranxt |
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