[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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[1870] | 17 | !! 3.3 ! 2010-04 (M. Leclair, G. Madec) semi-implicit hpg with asselin filter + modified LF-RA |
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[3] | 18 | !!---------------------------------------------------------------------- |
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[503] | 19 | |
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| 20 | !!---------------------------------------------------------------------- |
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[1110] | 21 | !! tra_nxt : time stepping on temperature and salinity |
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[1438] | 22 | !! tra_nxt_fix : time stepping on temperature and salinity : fixed volume case |
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| 23 | !! tra_nxt_vvl : time stepping on temperature and salinity : variable volume case |
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[3] | 24 | !!---------------------------------------------------------------------- |
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| 25 | USE oce ! ocean dynamics and tracers variables |
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| 26 | USE dom_oce ! ocean space and time domain variables |
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[1975] | 27 | USE sbc_oce ! surface boundary condition: ocean |
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[3] | 28 | USE zdf_oce ! ??? |
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[1438] | 29 | USE domvvl ! variable volume |
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[1601] | 30 | USE dynspg_oce ! surface pressure gradient variables |
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| 31 | USE dynhpg ! hydrostatic pressure gradient |
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[888] | 32 | USE trdmod_oce ! ocean variables trends |
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| 33 | USE trdmod ! ocean active tracers trends |
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| 34 | USE phycst |
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| 35 | USE obctra ! open boundary condition (obc_tra routine) |
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[911] | 36 | USE bdytra ! Unstructured open boundary condition (bdy_tra routine) |
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[3] | 37 | USE in_out_manager ! I/O manager |
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| 38 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[258] | 39 | USE prtctl ! Print control |
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[1975] | 40 | USE traqsr ! penetrative solar radiation (needed for nksr) |
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[389] | 41 | USE agrif_opa_update |
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| 42 | USE agrif_opa_interp |
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[3] | 43 | |
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| 44 | IMPLICIT NONE |
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| 45 | PRIVATE |
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| 46 | |
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[1110] | 47 | PUBLIC tra_nxt ! routine called by step.F90 |
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[592] | 48 | |
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[1975] | 49 | REAL(wp) :: rbcp ! Brown & Campana parameters for semi-implicit hpg |
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[1847] | 50 | REAL(wp), DIMENSION(jpk) :: r2dt_t ! vertical profile time step, =2*rdttra (leapfrog) or =rdttra (Euler) |
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[1438] | 51 | |
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[592] | 52 | !! * Substitutions |
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| 53 | # include "domzgr_substitute.h90" |
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[3] | 54 | !!---------------------------------------------------------------------- |
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[1847] | 55 | !! NEMO/OPA 3.3 , LOCEAN-IPSL (2010) |
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[1146] | 56 | !! $Id$ |
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[503] | 57 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[3] | 58 | !!---------------------------------------------------------------------- |
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| 59 | |
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| 60 | CONTAINS |
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| 61 | |
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| 62 | SUBROUTINE tra_nxt( kt ) |
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| 63 | !!---------------------------------------------------------------------- |
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| 64 | !! *** ROUTINE tranxt *** |
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| 65 | !! |
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[1110] | 66 | !! ** Purpose : Apply the boundary condition on the after temperature |
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| 67 | !! and salinity fields, achieved the time stepping by adding |
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| 68 | !! the Asselin filter on now fields and swapping the fields. |
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[3] | 69 | !! |
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[1110] | 70 | !! ** Method : At this stage of the computation, ta and sa are the |
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| 71 | !! after temperature and salinity as the time stepping has |
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| 72 | !! been performed in trazdf_imp or trazdf_exp module. |
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[3] | 73 | !! |
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[1110] | 74 | !! - Apply lateral boundary conditions on (ta,sa) |
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| 75 | !! at the local domain boundaries through lbc_lnk call, |
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| 76 | !! at the radiative open boundaries (lk_obc=T), |
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| 77 | !! at the relaxed open boundaries (lk_bdy=T), and |
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| 78 | !! at the AGRIF zoom boundaries (lk_agrif=T) |
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| 79 | !! |
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[1438] | 80 | !! - Update lateral boundary conditions on AGRIF children |
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| 81 | !! domains (lk_agrif=T) |
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[1110] | 82 | !! |
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| 83 | !! ** Action : - (tb,sb) and (tn,sn) ready for the next time step |
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| 84 | !! - (ta,sa) time averaged (t,s) (ln_dynhpg_imp = T) |
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[1870] | 85 | !! |
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| 86 | !! Reference : Leclair, M., and G. Madec, 2009, Ocean Modelling. |
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[503] | 87 | !!---------------------------------------------------------------------- |
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| 88 | USE oce, ONLY : ztrdt => ua ! use ua as 3D workspace |
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| 89 | USE oce, ONLY : ztrds => va ! use va as 3D workspace |
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[3] | 90 | !! |
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[503] | 91 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 92 | !! |
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[1847] | 93 | INTEGER :: jk ! dummy loop indices |
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| 94 | REAL(wp) :: zfact ! temporary scalars |
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[3] | 95 | !!---------------------------------------------------------------------- |
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| 96 | |
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[1870] | 97 | IF( kt == nit000 ) THEN !== initialisation ==! |
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[1110] | 98 | IF(lwp) WRITE(numout,*) |
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| 99 | IF(lwp) WRITE(numout,*) 'tra_nxt : achieve the time stepping by Asselin filter and array swap' |
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| 100 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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[1847] | 101 | ! |
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[1975] | 102 | rbcp = 0.25 * (1. + atfp) * (1. + atfp) * ( 1. - atfp) ! Brown & Campana parameter for semi-implicit hpg |
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[592] | 103 | ENDIF |
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[1870] | 104 | ! ! set time step size (Euler/Leapfrog) |
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| 105 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; r2dt_t(:) = rdttra(:) ! at nit000 (Euler) |
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| 106 | ELSEIF( kt <= nit000 + 1 ) THEN ; r2dt_t(:) = 2.* rdttra(:) ! at nit000 or nit000+1 (Leapfrog) |
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| 107 | ENDIF |
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[592] | 108 | |
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[1870] | 109 | ! !== Update after tracer on domain lateral boundaries ==! |
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[1110] | 110 | ! |
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[1870] | 111 | CALL lbc_lnk( ta, 'T', 1. ) ! local domain boundaries (T-point, unchanged sign) |
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[3] | 112 | CALL lbc_lnk( sa, 'T', 1. ) |
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[1110] | 113 | ! |
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[3] | 114 | #if defined key_obc |
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[1870] | 115 | CALL obc_tra( kt ) ! OBC open boundaries |
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[3] | 116 | #endif |
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[1110] | 117 | #if defined key_bdy |
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[1870] | 118 | CALL bdy_tra( kt ) ! BDY open boundaries |
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[1110] | 119 | #endif |
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[392] | 120 | #if defined key_agrif |
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[1870] | 121 | CALL Agrif_tra ! AGRIF zoom boundaries |
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[389] | 122 | #endif |
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[1438] | 123 | |
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[1870] | 124 | IF( l_trdtra ) THEN ! trends computation: store now fields before applying the Asselin filter |
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[1110] | 125 | ztrdt(:,:,:) = tn(:,:,:) |
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| 126 | ztrds(:,:,:) = sn(:,:,:) |
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| 127 | ENDIF |
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| 128 | |
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[1870] | 129 | ! !== modifed Leap-Frog + Asselin filter (modified LF-RA) scheme ==! |
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[1438] | 130 | IF( lk_vvl ) THEN ; CALL tra_nxt_vvl( kt ) ! variable volume level (vvl) |
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| 131 | ELSE ; CALL tra_nxt_fix( kt ) ! fixed volume level |
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| 132 | ENDIF |
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| 133 | |
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| 134 | #if defined key_agrif |
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[1870] | 135 | IF( .NOT.Agrif_Root() ) CALL Agrif_Update_Tra( kt ) ! Update tracer at AGRIF zoom boundaries (children only) |
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[1438] | 136 | #endif |
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| 137 | |
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[1870] | 138 | IF( l_trdtra ) THEN ! trends computation: trend of the Asselin filter (tb filtered - tb)/dt |
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[1110] | 139 | DO jk = 1, jpkm1 |
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[1438] | 140 | zfact = 1.e0 / r2dt_t(jk) |
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| 141 | ztrdt(:,:,jk) = ( tb(:,:,jk) - ztrdt(:,:,jk) ) * zfact |
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| 142 | ztrds(:,:,jk) = ( sb(:,:,jk) - ztrds(:,:,jk) ) * zfact |
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[1110] | 143 | END DO |
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[1438] | 144 | CALL trd_mod( ztrdt, ztrds, jptra_trd_atf, 'TRA', kt ) |
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| 145 | END IF |
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| 146 | |
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| 147 | ! ! control print |
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| 148 | IF(ln_ctl) CALL prt_ctl( tab3d_1=tn, clinfo1=' nxt - Tn: ', mask1=tmask, & |
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| 149 | & tab3d_2=sn, clinfo2= ' Sn: ', mask2=tmask ) |
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| 150 | ! |
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| 151 | END SUBROUTINE tra_nxt |
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| 152 | |
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| 153 | |
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| 154 | SUBROUTINE tra_nxt_fix( kt ) |
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| 155 | !!---------------------------------------------------------------------- |
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| 156 | !! *** ROUTINE tra_nxt_fix *** |
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| 157 | !! |
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| 158 | !! ** Purpose : fixed volume: apply the Asselin time filter and |
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| 159 | !! swap the tracer fields. |
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| 160 | !! |
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| 161 | !! ** Method : - Apply a Asselin time filter on now fields. |
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| 162 | !! - save in (ta,sa) an average over the three time levels |
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| 163 | !! which will be used to compute rdn and thus the semi-implicit |
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| 164 | !! hydrostatic pressure gradient (ln_dynhpg_imp = T) |
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| 165 | !! - swap tracer fields to prepare the next time_step. |
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[1847] | 166 | !! This can be summurized for temperature as: |
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[1975] | 167 | !! ztm = tn + rbcp * [ta -2 tn + tb ] ln_dynhpg_imp = T |
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[1847] | 168 | !! ztm = 0 otherwise |
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[1975] | 169 | !! with rbcp=1/4 * (1-atfp^4) / (1-atfp) |
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[1438] | 170 | !! tb = tn + atfp*[ tb - 2 tn + ta ] |
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| 171 | !! tn = ta |
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| 172 | !! ta = ztm (NB: reset to 0 after eos_bn2 call) |
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| 173 | !! |
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| 174 | !! ** Action : - (tb,sb) and (tn,sn) ready for the next time step |
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| 175 | !! - (ta,sa) time averaged (t,s) (ln_dynhpg_imp = T) |
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| 176 | !!---------------------------------------------------------------------- |
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[1870] | 177 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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[1438] | 178 | !! |
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[1870] | 179 | INTEGER :: ji, jj, jk ! dummy loop indices |
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[2068] | 180 | REAL(wp) :: zt_d, zs_d ! temporary scalars |
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[1975] | 181 | REAL(wp) :: ztn, zsn ! - - |
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[1438] | 182 | !!---------------------------------------------------------------------- |
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| 183 | |
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| 184 | IF( kt == nit000 ) THEN |
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| 185 | IF(lwp) WRITE(numout,*) |
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| 186 | IF(lwp) WRITE(numout,*) 'tra_nxt_fix : time stepping' |
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| 187 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 188 | ENDIF |
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| 189 | ! |
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[1975] | 190 | IF( neuler == 0 .AND. kt == nit000 ) THEN ! Euler time-stepping at first time-step |
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| 191 | DO jk = 1, jpkm1 ! (only swap) |
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| 192 | tn(:,:,jk) = ta(:,:,jk) ! tn <-- ta |
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| 193 | sn(:,:,jk) = sa(:,:,jk) ! sn <-- sa |
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| 194 | END DO |
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| 195 | ELSE ! General case (Leapfrog + Asselin filter) |
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| 196 | DO jk = 1, jpkm1 |
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| 197 | DO jj = 1, jpj |
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| 198 | DO ji = 1, jpi |
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| 199 | IF( ln_dynhpg_imp ) THEN ! implicit hpg: keep tn, sn in memory |
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| 200 | ztn = tn(ji,jj,jk) |
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| 201 | zsn = sn(ji,jj,jk) |
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| 202 | ENDIF |
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| 203 | ! ! time laplacian on tracers |
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| 204 | ! ! used for both Asselin and Brown & Campana filters |
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[2068] | 205 | zt_d = ta(ji,jj,jk) - 2. * tn(ji,jj,jk) + tb(ji,jj,jk) |
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| 206 | zs_d = sa(ji,jj,jk) - 2. * sn(ji,jj,jk) + sb(ji,jj,jk) |
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[1975] | 207 | ! |
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| 208 | ! ! swap of arrays |
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[2068] | 209 | tb(ji,jj,jk) = tn(ji,jj,jk) + atfp * zt_d ! tb <-- tn filtered |
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| 210 | sb(ji,jj,jk) = sn(ji,jj,jk) + atfp * zs_d ! sb <-- sn filtered |
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[1975] | 211 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tn <-- ta |
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| 212 | sn(ji,jj,jk) = sa(ji,jj,jk) ! sn <-- sa |
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| 213 | ! ! semi imlicit hpg computation (Brown & Campana) |
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| 214 | IF( ln_dynhpg_imp ) THEN |
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[2068] | 215 | ta(ji,jj,jk) = ztn + rbcp * zt_d ! ta <-- Brown & Campana average |
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| 216 | sa(ji,jj,jk) = zsn + rbcp * zs_d ! sa <-- Brown & Campana average |
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[1975] | 217 | ENDIF |
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[3] | 218 | END DO |
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[1110] | 219 | END DO |
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[1975] | 220 | END DO |
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[1110] | 221 | ENDIF |
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[1438] | 222 | ! |
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| 223 | END SUBROUTINE tra_nxt_fix |
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[3] | 224 | |
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[1110] | 225 | |
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[1438] | 226 | SUBROUTINE tra_nxt_vvl( kt ) |
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| 227 | !!---------------------------------------------------------------------- |
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| 228 | !! *** ROUTINE tra_nxt_vvl *** |
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| 229 | !! |
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| 230 | !! ** Purpose : Time varying volume: apply the Asselin time filter |
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| 231 | !! and swap the tracer fields. |
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| 232 | !! |
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| 233 | !! ** Method : - Apply a thickness weighted Asselin time filter on now fields. |
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| 234 | !! - save in (ta,sa) a thickness weighted average over the three |
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| 235 | !! time levels which will be used to compute rdn and thus the semi- |
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| 236 | !! implicit hydrostatic pressure gradient (ln_dynhpg_imp = T) |
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| 237 | !! - swap tracer fields to prepare the next time_step. |
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[1847] | 238 | !! This can be summurized for temperature as: |
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[1975] | 239 | !! ztm = ( e3t_n*tn + rbcp*[ e3t_b*tb - 2 e3t_n*tn + e3t_a*ta ] ) ln_dynhpg_imp = T |
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| 240 | !! /( e3t_n + rbcp*[ e3t_b - 2 e3t_n + e3t_a ] ) |
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[1847] | 241 | !! ztm = 0 otherwise |
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[1438] | 242 | !! tb = ( e3t_n*tn + atfp*[ e3t_b*tb - 2 e3t_n*tn + e3t_a*ta ] ) |
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| 243 | !! /( e3t_n + atfp*[ e3t_b - 2 e3t_n + e3t_a ] ) |
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| 244 | !! tn = ta |
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| 245 | !! ta = zt (NB: reset to 0 after eos_bn2 call) |
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| 246 | !! |
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| 247 | !! ** Action : - (tb,sb) and (tn,sn) ready for the next time step |
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| 248 | !! - (ta,sa) time averaged (t,s) (ln_dynhpg_imp = T) |
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| 249 | !!---------------------------------------------------------------------- |
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[1975] | 250 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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[1438] | 251 | !! |
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[1975] | 252 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 253 | REAL :: ze3t_a, ze3t_n, ze3t_b ! temporary scalars |
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| 254 | REAL :: ztc_a, ztc_n, ztc_b ! - - |
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| 255 | REAL :: zsc_a, zsc_n, zsc_b ! - - |
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[2068] | 256 | REAL :: ztc_f, zsc_f, ztc_d, zsc_d ! - - |
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| 257 | REAL :: ze3t_f, ze3t_d ! - - |
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[1975] | 258 | REAL :: zfact1, zfact2 ! - - |
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[1438] | 259 | !!---------------------------------------------------------------------- |
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[1975] | 260 | |
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[1438] | 261 | IF( kt == nit000 ) THEN |
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| 262 | IF(lwp) WRITE(numout,*) |
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| 263 | IF(lwp) WRITE(numout,*) 'tra_nxt_vvl : time stepping' |
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| 264 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 265 | ENDIF |
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| 266 | |
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[1975] | 267 | IF( neuler == 0 .AND. kt == nit000 ) THEN ! Euler time-stepping at first time-step |
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| 268 | ! ! (only swap) |
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| 269 | DO jk = 1, jpkm1 ! tn <-- ta |
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| 270 | tn(:,:,jk) = ta(:,:,jk) ! sn <-- sa |
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| 271 | sn(:,:,jk) = sa(:,:,jk) |
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| 272 | END DO |
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| 273 | ! ! General case (Leapfrog + Asselin filter) |
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| 274 | ELSE ! apply filter on thickness weighted tracer and swap |
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| 275 | DO jk = 1, jpkm1 |
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[2068] | 276 | zfact1 = atfp * rdttra(jk) |
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[1975] | 277 | zfact2 = zfact1 / rau0 |
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| 278 | DO jj = 1, jpj |
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| 279 | DO ji = 1, jpi |
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| 280 | ! ! scale factors at Before, now and after |
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| 281 | ze3t_b = fse3t_b(ji,jj,jk) |
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| 282 | ze3t_n = fse3t_n(ji,jj,jk) |
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| 283 | ze3t_a = fse3t_a(ji,jj,jk) |
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[2068] | 284 | ze3t_d = fse3t_d(ji,jj,jk) |
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[1975] | 285 | ! ! tracer content at Before, now and after |
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| 286 | ztc_b = tb(ji,jj,jk) * ze3t_b ; zsc_b = sb(ji,jj,jk) * ze3t_b |
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| 287 | ztc_n = tn(ji,jj,jk) * ze3t_n ; zsc_n = sn(ji,jj,jk) * ze3t_n |
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| 288 | ztc_a = ta(ji,jj,jk) * ze3t_a ; zsc_a = sa(ji,jj,jk) * ze3t_a |
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| 289 | ! |
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[2005] | 290 | ! ! Time laplacian on tracer contents |
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[1975] | 291 | ! ! used for both Asselin and Brown & Campana filters |
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[2068] | 292 | ztc_d = ztc_a - 2. * ztc_n + ztc_b |
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| 293 | zsc_d = zsc_a - 2. * zsc_n + zsc_b |
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[2005] | 294 | ! ! Asselin Filter on thicknesses and tracer contents |
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[2068] | 295 | ze3t_f = ze3t_n + atfp * ze3t_d |
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| 296 | ztc_f = ztc_n + atfp * ztc_d |
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| 297 | zsc_f = zsc_n + atfp * zsc_d |
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[2005] | 298 | ! ! Filter correction |
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[1975] | 299 | IF( jk == 1 ) THEN |
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[2091] | 300 | ze3t_f = ze3t_f - zfact2 * ( emp_b (ji,jj) - emp (ji,jj) ) |
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| 301 | ztc_f = ztc_f - zfact1 * ( sbc_hc_n(ji,jj) - sbc_hc_b(ji,jj) ) |
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| 302 | zsc_f = zsc_f - zfact1 * ( sbc_sc_n(ji,jj) - sbc_sc_b(ji,jj) ) |
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[1975] | 303 | ENDIF |
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| 304 | IF( ln_traqsr .AND. ( jk .LE. nksr ) ) THEN |
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[2091] | 305 | ztc_f = ztc_f - zfact1 * ( qsr_hc_n(ji,jj,jk) - qsr_hc_b(ji,jj,jk) ) |
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[1975] | 306 | ENDIF |
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[2068] | 307 | ! swap of arrays |
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[1975] | 308 | ze3t_f = 1.e0 / ze3t_f |
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| 309 | tb(ji,jj,jk) = ztc_f * ze3t_f ! tb <-- tn filtered |
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| 310 | sb(ji,jj,jk) = zsc_f * ze3t_f ! sb <-- sn filtered |
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| 311 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tn <-- ta |
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| 312 | sn(ji,jj,jk) = sa(ji,jj,jk) ! sn <-- sa |
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| 313 | ! ! semi imlicit hpg computation (Brown & Campana) |
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| 314 | IF( ln_dynhpg_imp ) THEN |
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[2068] | 315 | ze3t_d = 1.e0 / ( ze3t_n + rbcp * ze3t_d ) |
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| 316 | ta(ji,jj,jk) = ze3t_d * ( ztc_n + rbcp * ztc_d ) ! ta <-- Brown & Campana average |
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| 317 | sa(ji,jj,jk) = ze3t_d * ( zsc_n + rbcp * zsc_d ) ! sa <-- Brown & Campana average |
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[1975] | 318 | ENDIF |
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[1438] | 319 | END DO |
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| 320 | END DO |
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[1975] | 321 | END DO |
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[1438] | 322 | ENDIF |
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[503] | 323 | ! |
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[1438] | 324 | END SUBROUTINE tra_nxt_vvl |
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[3] | 325 | |
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| 326 | !!====================================================================== |
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| 327 | END MODULE tranxt |
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