[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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[2528] | 17 | !! 3.3 ! 2010-04 (M. Leclair, G. Madec) semi-implicit hpg with asselin filter + modified LF-RA |
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| 18 | !! - ! 2010-05 (C. Ethe, G. Madec) merge TRC-TRA |
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[3] | 19 | !!---------------------------------------------------------------------- |
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[503] | 20 | |
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| 21 | !!---------------------------------------------------------------------- |
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[2528] | 22 | !! tra_nxt : time stepping on tracers |
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| 23 | !! tra_nxt_fix : time stepping on tracers : fixed volume case |
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| 24 | !! tra_nxt_vvl : time stepping on tracers : variable volume case |
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[3] | 25 | !!---------------------------------------------------------------------- |
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| 26 | USE oce ! ocean dynamics and tracers variables |
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| 27 | USE dom_oce ! ocean space and time domain variables |
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[2528] | 28 | USE sbc_oce ! surface boundary condition: ocean |
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[3] | 29 | USE zdf_oce ! ??? |
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[1438] | 30 | USE domvvl ! variable volume |
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[1601] | 31 | USE dynspg_oce ! surface pressure gradient variables |
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| 32 | USE dynhpg ! hydrostatic pressure gradient |
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[2528] | 33 | USE trdmod_oce ! ocean space and time domain variables |
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| 34 | USE trdtra ! ocean active tracers trends |
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[888] | 35 | USE phycst |
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[2528] | 36 | USE obc_oce |
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[888] | 37 | USE obctra ! open boundary condition (obc_tra routine) |
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[2528] | 38 | USE bdy_par ! Unstructured open boundary condition (bdy_tra_frs routine) |
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| 39 | USE bdytra ! Unstructured open boundary condition (bdy_tra_frs routine) |
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[3] | 40 | USE in_out_manager ! I/O manager |
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| 41 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[258] | 42 | USE prtctl ! Print control |
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[2528] | 43 | USE traqsr ! penetrative solar radiation (needed for nksr) |
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| 44 | USE traswp ! swap array |
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| 45 | USE obc_oce |
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| 46 | #if defined key_agrif |
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[389] | 47 | USE agrif_opa_update |
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| 48 | USE agrif_opa_interp |
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[2528] | 49 | #endif |
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[3] | 50 | |
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| 51 | IMPLICIT NONE |
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| 52 | PRIVATE |
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| 53 | |
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[2528] | 54 | PUBLIC tra_nxt ! routine called by step.F90 |
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| 55 | PUBLIC tra_nxt_fix ! to be used in trcnxt |
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| 56 | PUBLIC tra_nxt_vvl ! to be used in trcnxt |
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[2590] | 57 | PUBLIC tra_nxt_alloc ! used in nemogcm.F90 |
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[592] | 58 | |
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[2528] | 59 | REAL(wp) :: rbcp ! Brown & Campana parameters for semi-implicit hpg |
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[2590] | 60 | REAL(wp), SAVE, ALLOCATABLE, DIMENSION(:) :: r2dt ! vertical profile time step, =2*rdttra (leapfrog) or =rdttra (Euler) |
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[1438] | 61 | |
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[592] | 62 | !! * Substitutions |
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| 63 | # include "domzgr_substitute.h90" |
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[3] | 64 | !!---------------------------------------------------------------------- |
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[2528] | 65 | !! NEMO/OPA 3.3 , NEMO-Consortium (2010) |
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| 66 | !! $Id $ |
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| 67 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 68 | !!---------------------------------------------------------------------- |
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| 69 | CONTAINS |
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| 70 | |
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[2590] | 71 | FUNCTION tra_nxt_alloc() |
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| 72 | !!---------------------------------------------------------------------- |
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| 73 | !! *** ROUTINE tran_xt_alloc *** |
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| 74 | !!---------------------------------------------------------------------- |
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| 75 | IMPLICIT none |
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| 76 | INTEGER tra_nxt_alloc |
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| 77 | !!---------------------------------------------------------------------- |
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| 78 | |
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| 79 | ALLOCATE(r2dt(jpk), Stat=tra_nxt_alloc) |
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| 80 | |
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| 81 | IF(tra_nxt_alloc /= 0)THEN |
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| 82 | CALL ctl_warn('tra_nxt_alloc: failed to allocate array r2dt.') |
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| 83 | END IF |
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| 84 | |
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| 85 | END FUNCTION tra_nxt_alloc |
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| 86 | |
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[3] | 87 | SUBROUTINE tra_nxt( kt ) |
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| 88 | !!---------------------------------------------------------------------- |
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| 89 | !! *** ROUTINE tranxt *** |
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| 90 | !! |
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[1110] | 91 | !! ** Purpose : Apply the boundary condition on the after temperature |
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| 92 | !! and salinity fields, achieved the time stepping by adding |
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| 93 | !! the Asselin filter on now fields and swapping the fields. |
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[3] | 94 | !! |
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[1110] | 95 | !! ** Method : At this stage of the computation, ta and sa are the |
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| 96 | !! after temperature and salinity as the time stepping has |
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| 97 | !! been performed in trazdf_imp or trazdf_exp module. |
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[3] | 98 | !! |
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[1110] | 99 | !! - Apply lateral boundary conditions on (ta,sa) |
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| 100 | !! at the local domain boundaries through lbc_lnk call, |
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| 101 | !! at the radiative open boundaries (lk_obc=T), |
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| 102 | !! at the relaxed open boundaries (lk_bdy=T), and |
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| 103 | !! at the AGRIF zoom boundaries (lk_agrif=T) |
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| 104 | !! |
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[1438] | 105 | !! - Update lateral boundary conditions on AGRIF children |
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| 106 | !! domains (lk_agrif=T) |
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[1110] | 107 | !! |
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| 108 | !! ** Action : - (tb,sb) and (tn,sn) ready for the next time step |
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| 109 | !! - (ta,sa) time averaged (t,s) (ln_dynhpg_imp = T) |
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[503] | 110 | !!---------------------------------------------------------------------- |
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| 111 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 112 | !! |
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[2528] | 113 | INTEGER :: jk, jn ! dummy loop indices |
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| 114 | REAL(wp) :: zfact ! local scalars |
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| 115 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdt, ztrds |
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[3] | 116 | !!---------------------------------------------------------------------- |
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| 117 | |
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[1110] | 118 | IF( kt == nit000 ) THEN |
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| 119 | IF(lwp) WRITE(numout,*) |
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| 120 | IF(lwp) WRITE(numout,*) 'tra_nxt : achieve the time stepping by Asselin filter and array swap' |
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| 121 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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[2528] | 122 | ! |
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| 123 | rbcp = 0.25 * (1. + atfp) * (1. + atfp) * ( 1. - atfp) ! Brown & Campana parameter for semi-implicit hpg |
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[592] | 124 | ENDIF |
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| 125 | |
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[1110] | 126 | ! Update after tracer on domain lateral boundaries |
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| 127 | ! |
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[2528] | 128 | CALL lbc_lnk( tsa(:,:,:,jp_tem), 'T', 1. ) ! local domain boundaries (T-point, unchanged sign) |
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| 129 | CALL lbc_lnk( tsa(:,:,:,jp_sal), 'T', 1. ) |
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[1110] | 130 | ! |
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[2528] | 131 | #if defined key_obc || defined key_bdy || defined key_agrif |
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| 132 | CALL tra_unswap |
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| 133 | #endif |
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| 134 | |
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| 135 | #if defined key_obc |
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[1876] | 136 | IF( lk_obc ) CALL obc_tra( kt ) ! OBC open boundaries |
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[3] | 137 | #endif |
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[2528] | 138 | #if defined key_bdy |
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| 139 | IF( lk_bdy ) CALL bdy_tra_frs( kt ) ! BDY open boundaries |
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[1110] | 140 | #endif |
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[392] | 141 | #if defined key_agrif |
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[2528] | 142 | CALL Agrif_tra ! AGRIF zoom boundaries |
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[389] | 143 | #endif |
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[2528] | 144 | |
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| 145 | #if defined key_obc || defined key_bdy || defined key_agrif |
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| 146 | CALL tra_swap |
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| 147 | #endif |
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[1438] | 148 | |
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| 149 | ! set time step size (Euler/Leapfrog) |
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[2528] | 150 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; r2dt(:) = rdttra(:) ! at nit000 (Euler) |
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| 151 | ELSEIF( kt <= nit000 + 1 ) THEN ; r2dt(:) = 2.* rdttra(:) ! at nit000 or nit000+1 (Leapfrog) |
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[1438] | 152 | ENDIF |
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[3] | 153 | |
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[1110] | 154 | ! trends computation initialisation |
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[2528] | 155 | IF( l_trdtra ) THEN ! store now fields before applying the Asselin filter |
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| 156 | ALLOCATE( ztrdt(jpi,jpj,jpk) ) ; ztrdt(:,:,:) = tsn(:,:,:,jp_tem) |
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| 157 | ALLOCATE( ztrds(jpi,jpj,jpk) ) ; ztrds(:,:,:) = tsn(:,:,:,jp_sal) |
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[1110] | 158 | ENDIF |
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| 159 | |
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[2528] | 160 | IF( neuler == 0 .AND. kt == nit000 ) THEN ! Euler time-stepping at first time-step (only swap) |
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| 161 | DO jn = 1, jpts |
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| 162 | DO jk = 1, jpkm1 |
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| 163 | tsn(:,:,jk,jn) = tsa(:,:,jk,jn) |
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| 164 | END DO |
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| 165 | END DO |
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| 166 | ELSE ! Leap-Frog + Asselin filter time stepping |
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| 167 | ! |
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| 168 | IF( lk_vvl ) THEN ; CALL tra_nxt_vvl( kt, 'TRA', tsb, tsn, tsa, jpts ) ! variable volume level (vvl) |
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| 169 | ELSE ; CALL tra_nxt_fix( kt, 'TRA', tsb, tsn, tsa, jpts ) ! fixed volume level |
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| 170 | ENDIF |
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| 171 | ENDIF |
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[1438] | 172 | |
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| 173 | #if defined key_agrif |
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| 174 | ! Update tracer at AGRIF zoom boundaries |
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[2528] | 175 | CALL tra_unswap |
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[1438] | 176 | IF( .NOT.Agrif_Root() ) CALL Agrif_Update_Tra( kt ) ! children only |
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[2528] | 177 | CALL tra_swap |
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[1438] | 178 | #endif |
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| 179 | |
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| 180 | ! trends computation |
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[2528] | 181 | IF( l_trdtra ) THEN ! trend of the Asselin filter (tb filtered - tb)/dt |
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[1110] | 182 | DO jk = 1, jpkm1 |
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[2528] | 183 | zfact = 1.e0 / r2dt(jk) |
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| 184 | ztrdt(:,:,jk) = ( tsb(:,:,jk,jp_tem) - ztrdt(:,:,jk) ) * zfact |
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| 185 | ztrds(:,:,jk) = ( tsb(:,:,jk,jp_sal) - ztrds(:,:,jk) ) * zfact |
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[1110] | 186 | END DO |
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[2528] | 187 | CALL trd_tra( kt, 'TRA', jp_tem, jptra_trd_atf, ztrdt ) |
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| 188 | CALL trd_tra( kt, 'TRA', jp_sal, jptra_trd_atf, ztrds ) |
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| 189 | DEALLOCATE( ztrdt ) ; DEALLOCATE( ztrds ) |
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[1438] | 190 | END IF |
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| 191 | |
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| 192 | ! ! control print |
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[2528] | 193 | IF(ln_ctl) CALL prt_ctl( tab3d_1=tsn(:,:,:,jp_tem), clinfo1=' nxt - Tn: ', mask1=tmask, & |
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| 194 | & tab3d_2=tsn(:,:,:,jp_sal), clinfo2= ' Sn: ', mask2=tmask ) |
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[1438] | 195 | ! |
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| 196 | END SUBROUTINE tra_nxt |
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| 197 | |
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| 198 | |
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[2528] | 199 | SUBROUTINE tra_nxt_fix( kt, cdtype, ptb, ptn, pta, kjpt ) |
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[1438] | 200 | !!---------------------------------------------------------------------- |
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| 201 | !! *** ROUTINE tra_nxt_fix *** |
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| 202 | !! |
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| 203 | !! ** Purpose : fixed volume: apply the Asselin time filter and |
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| 204 | !! swap the tracer fields. |
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| 205 | !! |
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| 206 | !! ** Method : - Apply a Asselin time filter on now fields. |
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| 207 | !! - save in (ta,sa) an average over the three time levels |
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| 208 | !! which will be used to compute rdn and thus the semi-implicit |
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| 209 | !! hydrostatic pressure gradient (ln_dynhpg_imp = T) |
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| 210 | !! - swap tracer fields to prepare the next time_step. |
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| 211 | !! This can be summurized for tempearture as: |
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[2528] | 212 | !! ztm = tn + rbcp * [ta -2 tn + tb ] ln_dynhpg_imp = T |
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| 213 | !! ztm = 0 otherwise |
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| 214 | !! with rbcp=1/4 * (1-atfp^4) / (1-atfp) |
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[1438] | 215 | !! tb = tn + atfp*[ tb - 2 tn + ta ] |
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[2528] | 216 | !! tn = ta |
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[1438] | 217 | !! ta = ztm (NB: reset to 0 after eos_bn2 call) |
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| 218 | !! |
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| 219 | !! ** Action : - (tb,sb) and (tn,sn) ready for the next time step |
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| 220 | !! - (ta,sa) time averaged (t,s) (ln_dynhpg_imp = T) |
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| 221 | !!---------------------------------------------------------------------- |
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[2528] | 222 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 223 | CHARACTER(len=3), INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 224 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 225 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk,kjpt) :: ptb ! before tracer fields |
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| 226 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk,kjpt) :: ptn ! now tracer fields |
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| 227 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk,kjpt) :: pta ! tracer trend |
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[1438] | 228 | !! |
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[2528] | 229 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 230 | LOGICAL :: ll_tra_hpg ! local logical |
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| 231 | REAL(wp) :: ztn, ztd ! local scalars |
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[1438] | 232 | !!---------------------------------------------------------------------- |
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| 233 | |
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[2528] | 234 | IF( kt == nit000 ) THEN |
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[1438] | 235 | IF(lwp) WRITE(numout,*) |
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| 236 | IF(lwp) WRITE(numout,*) 'tra_nxt_fix : time stepping' |
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| 237 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 238 | ENDIF |
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| 239 | ! |
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[2528] | 240 | IF( cdtype == 'TRA' ) THEN ; ll_tra_hpg = ln_dynhpg_imp ! active tracers case and semi-implicit hpg |
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| 241 | ELSE ; ll_tra_hpg = .FALSE. ! passive tracers case or NO semi-implicit hpg |
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| 242 | ENDIF |
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| 243 | ! |
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| 244 | DO jn = 1, kjpt |
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[1438] | 245 | ! |
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[2528] | 246 | DO jk = 1, jpkm1 |
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| 247 | DO jj = 1, jpj |
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| 248 | DO ji = 1, jpi |
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| 249 | ztn = ptn(ji,jj,jk,jn) |
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| 250 | ztd = pta(ji,jj,jk,jn) - 2. * ztn + ptb(ji,jj,jk,jn) ! time laplacian on tracers |
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| 251 | ! |
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| 252 | ptb(ji,jj,jk,jn) = ztn + atfp * ztd ! ptb <-- filtered ptn |
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| 253 | ptn(ji,jj,jk,jn) = pta(ji,jj,jk,jn) ! ptn <-- pta |
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| 254 | ! |
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| 255 | IF( ll_tra_hpg ) pta(ji,jj,jk,jn) = ztn + rbcp * ztd ! pta <-- Brown & Campana average |
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[3] | 256 | END DO |
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[2528] | 257 | END DO |
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| 258 | END DO |
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[1110] | 259 | ! |
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[2528] | 260 | END DO |
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[1438] | 261 | ! |
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| 262 | END SUBROUTINE tra_nxt_fix |
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[3] | 263 | |
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[1110] | 264 | |
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[2528] | 265 | SUBROUTINE tra_nxt_vvl( kt, cdtype, ptb, ptn, pta, kjpt ) |
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[1438] | 266 | !!---------------------------------------------------------------------- |
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| 267 | !! *** ROUTINE tra_nxt_vvl *** |
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| 268 | !! |
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| 269 | !! ** Purpose : Time varying volume: apply the Asselin time filter |
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| 270 | !! and swap the tracer fields. |
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| 271 | !! |
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| 272 | !! ** Method : - Apply a thickness weighted Asselin time filter on now fields. |
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| 273 | !! - save in (ta,sa) a thickness weighted average over the three |
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| 274 | !! time levels which will be used to compute rdn and thus the semi- |
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| 275 | !! implicit hydrostatic pressure gradient (ln_dynhpg_imp = T) |
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| 276 | !! - swap tracer fields to prepare the next time_step. |
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| 277 | !! This can be summurized for tempearture as: |
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[2528] | 278 | !! ztm = ( e3t_n*tn + rbcp*[ e3t_b*tb - 2 e3t_n*tn + e3t_a*ta ] ) ln_dynhpg_imp = T |
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| 279 | !! /( e3t_n + rbcp*[ e3t_b - 2 e3t_n + e3t_a ] ) |
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| 280 | !! ztm = 0 otherwise |
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[1438] | 281 | !! tb = ( e3t_n*tn + atfp*[ e3t_b*tb - 2 e3t_n*tn + e3t_a*ta ] ) |
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| 282 | !! /( e3t_n + atfp*[ e3t_b - 2 e3t_n + e3t_a ] ) |
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| 283 | !! tn = ta |
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| 284 | !! ta = zt (NB: reset to 0 after eos_bn2 call) |
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| 285 | !! |
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| 286 | !! ** Action : - (tb,sb) and (tn,sn) ready for the next time step |
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| 287 | !! - (ta,sa) time averaged (t,s) (ln_dynhpg_imp = T) |
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| 288 | !!---------------------------------------------------------------------- |
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[2528] | 289 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 290 | CHARACTER(len=3), INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 291 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 292 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk,kjpt) :: ptb ! before tracer fields |
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| 293 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk,kjpt) :: ptn ! now tracer fields |
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| 294 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk,kjpt) :: pta ! tracer trend |
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[1438] | 295 | !! |
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[2528] | 296 | LOGICAL :: ll_tra, ll_tra_hpg, ll_traqsr ! local logical |
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| 297 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 298 | REAL(wp) :: ztc_a , ztc_n , ztc_b ! local scalar |
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| 299 | REAL(wp) :: ztc_f , ztc_d ! - - |
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| 300 | REAL(wp) :: ze3t_b, ze3t_n, ze3t_a ! - - |
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| 301 | REAL(wp) :: ze3t_f, ze3t_d ! - - |
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| 302 | REAL(wp) :: zfact1, zfact2 ! - - |
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[1438] | 303 | !!---------------------------------------------------------------------- |
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| 304 | |
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| 305 | IF( kt == nit000 ) THEN |
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| 306 | IF(lwp) WRITE(numout,*) |
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| 307 | IF(lwp) WRITE(numout,*) 'tra_nxt_vvl : time stepping' |
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| 308 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 309 | ENDIF |
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[2528] | 310 | ! |
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| 311 | IF( cdtype == 'TRA' ) THEN |
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| 312 | ll_tra = .TRUE. ! active tracers case |
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| 313 | ll_tra_hpg = ln_dynhpg_imp ! active tracers case and semi-implicit hpg |
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| 314 | ll_traqsr = ln_traqsr ! active tracers case and solar penetration |
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| 315 | ELSE |
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| 316 | ll_tra = .FALSE. ! passive tracers case |
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| 317 | ll_tra_hpg = .FALSE. ! passive tracers case or NO semi-implicit hpg |
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| 318 | ll_traqsr = .FALSE. ! active tracers case and NO solar penetration |
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| 319 | ENDIF |
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| 320 | ! |
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| 321 | DO jn = 1, kjpt |
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| 322 | DO jk = 1, jpkm1 |
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| 323 | zfact1 = atfp * rdttra(jk) |
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| 324 | zfact2 = zfact1 / rau0 |
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| 325 | DO jj = 1, jpj |
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| 326 | DO ji = 1, jpi |
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| 327 | ze3t_b = fse3t_b(ji,jj,jk) |
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| 328 | ze3t_n = fse3t_n(ji,jj,jk) |
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| 329 | ze3t_a = fse3t_a(ji,jj,jk) |
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| 330 | ! ! tracer content at Before, now and after |
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| 331 | ztc_b = ptb(ji,jj,jk,jn) * ze3t_b |
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| 332 | ztc_n = ptn(ji,jj,jk,jn) * ze3t_n |
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| 333 | ztc_a = pta(ji,jj,jk,jn) * ze3t_a |
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| 334 | ! |
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| 335 | ze3t_d = ze3t_a - 2. * ze3t_n + ze3t_b |
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| 336 | ztc_d = ztc_a - 2. * ztc_n + ztc_b |
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| 337 | ! |
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| 338 | ze3t_f = ze3t_n + atfp * ze3t_d |
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| 339 | ztc_f = ztc_n + atfp * ztc_d |
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| 340 | ! |
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| 341 | IF( ll_tra .AND. jk == 1 ) THEN ! first level only for T & S |
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| 342 | ze3t_f = ze3t_f - zfact2 * ( emp_b(ji,jj) - emp(ji,jj) ) |
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| 343 | ztc_f = ztc_f - zfact1 * ( sbc_tsc(ji,jj,jn) - sbc_tsc_b(ji,jj,jn) ) |
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| 344 | ENDIF |
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| 345 | IF( ll_traqsr .AND. jn == jp_tem .AND. jk <= nksr ) & ! solar penetration (temperature only) |
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| 346 | & ztc_f = ztc_f - zfact1 * ( qsr_hc(ji,jj,jk) - qsr_hc_b(ji,jj,jk) ) |
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[1438] | 347 | |
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[2528] | 348 | ze3t_f = 1.e0 / ze3t_f |
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| 349 | ptb(ji,jj,jk,jn) = ztc_f * ze3t_f ! ptb <-- ptn filtered |
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| 350 | ptn(ji,jj,jk,jn) = pta(ji,jj,jk,jn) ! ptn <-- pta |
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| 351 | ! |
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| 352 | IF( ll_tra_hpg ) THEN ! semi-implicit hpg (T & S only) |
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| 353 | ze3t_d = 1.e0 / ( ze3t_n + rbcp * ze3t_d ) |
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| 354 | pta(ji,jj,jk,jn) = ze3t_d * ( ztc_n + rbcp * ztc_d ) ! ta <-- Brown & Campana average |
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| 355 | ENDIF |
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[1438] | 356 | END DO |
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| 357 | END DO |
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[2528] | 358 | END DO |
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| 359 | ! |
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| 360 | END DO |
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[503] | 361 | ! |
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[1438] | 362 | END SUBROUTINE tra_nxt_vvl |
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[3] | 363 | |
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| 364 | !!====================================================================== |
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| 365 | END MODULE tranxt |
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