[3] | 1 | MODULE traadv_tvd |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE traadv_tvd *** |
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[2528] | 4 | !! Ocean tracers: horizontal & vertical advective trend |
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[3] | 5 | !!============================================================================== |
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[2528] | 6 | !! History : OPA ! 1995-12 (L. Mortier) Original code |
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| 7 | !! ! 2000-01 (H. Loukos) adapted to ORCA |
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| 8 | !! ! 2000-10 (MA Foujols E.Kestenare) include file not routine |
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| 9 | !! ! 2000-12 (E. Kestenare M. Levy) fix bug in trtrd indexes |
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| 10 | !! ! 2001-07 (E. Durand G. Madec) adaptation to ORCA config |
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| 11 | !! 8.5 ! 2002-06 (G. Madec) F90: Free form and module |
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| 12 | !! NEMO 1.0 ! 2004-01 (A. de Miranda, G. Madec, J.M. Molines ): advective bbl |
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| 13 | !! 2.0 ! 2008-04 (S. Cravatte) add the i-, j- & k- trends computation |
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| 14 | !! - ! 2009-11 (V. Garnier) Surface pressure gradient organization |
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| 15 | !! 3.3 ! 2010-05 (C. Ethe, G. Madec) merge TRC-TRA + switch from velocity to transport |
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[503] | 16 | !!---------------------------------------------------------------------- |
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[3] | 17 | |
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| 18 | !!---------------------------------------------------------------------- |
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[3625] | 19 | !! tra_adv_tvd : update the tracer trend with the 3D advection trends using a TVD scheme |
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| 20 | !! nonosc : compute monotonic tracer fluxes by a non-oscillatory algorithm |
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[3] | 21 | !!---------------------------------------------------------------------- |
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[3625] | 22 | USE oce ! ocean dynamics and active tracers |
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| 23 | USE dom_oce ! ocean space and time domain |
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[4990] | 24 | USE trc_oce ! share passive tracers/Ocean variables |
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| 25 | USE trd_oce ! trends: ocean variables |
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[3625] | 26 | USE trdtra ! tracers trends |
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| 27 | USE dynspg_oce ! choice/control of key cpp for surface pressure gradient |
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[4990] | 28 | USE diaptr ! poleward transport diagnostics |
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| 29 | ! |
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[3625] | 30 | USE lib_mpp ! MPP library |
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| 31 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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[4990] | 32 | USE in_out_manager ! I/O manager |
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[3625] | 33 | USE wrk_nemo ! Memory Allocation |
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| 34 | USE timing ! Timing |
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| 35 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[7179] | 36 | USE iom |
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[3] | 37 | |
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| 38 | IMPLICIT NONE |
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| 39 | PRIVATE |
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| 40 | |
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[4990] | 41 | PUBLIC tra_adv_tvd ! routine called by traadv.F90 |
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| 42 | PUBLIC tra_adv_tvd_zts ! routine called by traadv.F90 |
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[3] | 43 | |
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[2715] | 44 | LOGICAL :: l_trd ! flag to compute trends |
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[7179] | 45 | LOGICAL :: l_trans ! flag to output vertically integrated transports |
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[2528] | 46 | |
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[3] | 47 | !! * Substitutions |
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| 48 | # include "domzgr_substitute.h90" |
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| 49 | # include "vectopt_loop_substitute.h90" |
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| 50 | !!---------------------------------------------------------------------- |
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[2528] | 51 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[1152] | 52 | !! $Id$ |
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[2528] | 53 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 54 | !!---------------------------------------------------------------------- |
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| 55 | CONTAINS |
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| 56 | |
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[3294] | 57 | SUBROUTINE tra_adv_tvd ( kt, kit000, cdtype, p2dt, pun, pvn, pwn, & |
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[2528] | 58 | & ptb, ptn, pta, kjpt ) |
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[3] | 59 | !!---------------------------------------------------------------------- |
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| 60 | !! *** ROUTINE tra_adv_tvd *** |
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| 61 | !! |
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| 62 | !! ** Purpose : Compute the now trend due to total advection of |
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| 63 | !! tracers and add it to the general trend of tracer equations |
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| 64 | !! |
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| 65 | !! ** Method : TVD scheme, i.e. 2nd order centered scheme with |
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| 66 | !! corrected flux (monotonic correction) |
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| 67 | !! note: - this advection scheme needs a leap-frog time scheme |
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| 68 | !! |
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[2528] | 69 | !! ** Action : - update (pta) with the now advective tracer trends |
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| 70 | !! - save the trends |
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[503] | 71 | !!---------------------------------------------------------------------- |
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[2715] | 72 | USE oce , ONLY: zwx => ua , zwy => va ! (ua,va) used as workspace |
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| 73 | ! |
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[2528] | 74 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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[3294] | 75 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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[2528] | 76 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 77 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 78 | REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step |
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| 79 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components |
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| 80 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields |
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| 81 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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[2715] | 82 | ! |
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[4990] | 83 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 84 | INTEGER :: ik |
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[2528] | 85 | REAL(wp) :: z2dtt, zbtr, ztra ! local scalar |
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| 86 | REAL(wp) :: zfp_ui, zfp_vj, zfp_wk ! - - |
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| 87 | REAL(wp) :: zfm_ui, zfm_vj, zfm_wk ! - - |
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[3294] | 88 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwi, zwz |
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[7179] | 89 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrdx, ztrdy, ztrdz, zptry |
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| 90 | REAL(wp), POINTER, DIMENSION(:,:) :: z2d |
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[3] | 91 | !!---------------------------------------------------------------------- |
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[3294] | 92 | ! |
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| 93 | IF( nn_timing == 1 ) CALL timing_start('tra_adv_tvd') |
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| 94 | ! |
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| 95 | CALL wrk_alloc( jpi, jpj, jpk, zwi, zwz ) |
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| 96 | ! |
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| 97 | IF( kt == kit000 ) THEN |
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[2528] | 98 | IF(lwp) WRITE(numout,*) |
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| 99 | IF(lwp) WRITE(numout,*) 'tra_adv_tvd : TVD advection scheme on ', cdtype |
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| 100 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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[4990] | 101 | ! |
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[3] | 102 | ENDIF |
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[7560] | 103 | l_trd = .FALSE. |
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| 104 | l_trans = .FALSE. |
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| 105 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
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| 106 | IF( cdtype == 'TRA' .AND. (iom_use("uadv_heattr") .OR. iom_use("vadv_heattr") ) ) l_trans = .TRUE. |
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[2528] | 107 | ! |
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[7179] | 108 | IF( l_trd .OR. l_trans ) THEN |
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[3294] | 109 | CALL wrk_alloc( jpi, jpj, jpk, ztrdx, ztrdy, ztrdz ) |
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| 110 | ztrdx(:,:,:) = 0.e0 ; ztrdy(:,:,:) = 0.e0 ; ztrdz(:,:,:) = 0.e0 |
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[7179] | 111 | CALL wrk_alloc( jpi, jpj, z2d ) |
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[3294] | 112 | ENDIF |
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[2528] | 113 | ! |
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[7179] | 114 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
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| 115 | CALL wrk_alloc( jpi, jpj, jpk, zptry ) |
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| 116 | zptry(:,:,:) = 0._wp |
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| 117 | ENDIF |
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| 118 | ! |
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[5120] | 119 | zwi(:,:,:) = 0.e0 ; |
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[2528] | 120 | ! |
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| 121 | ! ! =========== |
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| 122 | DO jn = 1, kjpt ! tracer loop |
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| 123 | ! ! =========== |
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[5120] | 124 | ! 1. Bottom and k=1 value : flux set to zero |
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[2528] | 125 | ! ---------------------------------- |
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| 126 | zwx(:,:,jpk) = 0.e0 ; zwz(:,:,jpk) = 0.e0 |
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| 127 | zwy(:,:,jpk) = 0.e0 ; zwi(:,:,jpk) = 0.e0 |
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[5120] | 128 | |
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| 129 | zwz(:,:,1 ) = 0._wp |
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[2528] | 130 | ! 2. upstream advection with initial mass fluxes & intermediate update |
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| 131 | ! -------------------------------------------------------------------- |
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| 132 | ! upstream tracer flux in the i and j direction |
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| 133 | DO jk = 1, jpkm1 |
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| 134 | DO jj = 1, jpjm1 |
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| 135 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 136 | ! upstream scheme |
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| 137 | zfp_ui = pun(ji,jj,jk) + ABS( pun(ji,jj,jk) ) |
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| 138 | zfm_ui = pun(ji,jj,jk) - ABS( pun(ji,jj,jk) ) |
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| 139 | zfp_vj = pvn(ji,jj,jk) + ABS( pvn(ji,jj,jk) ) |
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| 140 | zfm_vj = pvn(ji,jj,jk) - ABS( pvn(ji,jj,jk) ) |
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| 141 | zwx(ji,jj,jk) = 0.5 * ( zfp_ui * ptb(ji,jj,jk,jn) + zfm_ui * ptb(ji+1,jj ,jk,jn) ) |
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| 142 | zwy(ji,jj,jk) = 0.5 * ( zfp_vj * ptb(ji,jj,jk,jn) + zfm_vj * ptb(ji ,jj+1,jk,jn) ) |
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| 143 | END DO |
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[3] | 144 | END DO |
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| 145 | END DO |
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| 146 | |
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[2528] | 147 | ! upstream tracer flux in the k direction |
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[5120] | 148 | ! Interior value |
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| 149 | DO jk = 2, jpkm1 |
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[4990] | 150 | DO jj = 1, jpj |
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| 151 | DO ji = 1, jpi |
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[2528] | 152 | zfp_wk = pwn(ji,jj,jk) + ABS( pwn(ji,jj,jk) ) |
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| 153 | zfm_wk = pwn(ji,jj,jk) - ABS( pwn(ji,jj,jk) ) |
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[5120] | 154 | zwz(ji,jj,jk) = 0.5 * ( zfp_wk * ptb(ji,jj,jk,jn) + zfm_wk * ptb(ji,jj,jk-1,jn) ) * wmask(ji,jj,jk) |
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[2528] | 155 | END DO |
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[3] | 156 | END DO |
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| 157 | END DO |
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[5120] | 158 | ! Surface value |
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| 159 | IF( lk_vvl ) THEN |
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| 160 | IF ( ln_isfcav ) THEN |
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| 161 | DO jj = 1, jpj |
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| 162 | DO ji = 1, jpi |
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| 163 | zwz(ji,jj, mikt(ji,jj) ) = 0.e0 ! volume variable |
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| 164 | END DO |
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| 165 | END DO |
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| 166 | ELSE |
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| 167 | zwz(:,:,1) = 0.e0 ! volume variable |
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| 168 | END IF |
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| 169 | ELSE |
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| 170 | IF ( ln_isfcav ) THEN |
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| 171 | DO jj = 1, jpj |
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| 172 | DO ji = 1, jpi |
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| 173 | zwz(ji,jj, mikt(ji,jj) ) = pwn(ji,jj,mikt(ji,jj)) * ptb(ji,jj,mikt(ji,jj),jn) ! linear free surface |
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| 174 | END DO |
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| 175 | END DO |
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| 176 | ELSE |
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| 177 | zwz(:,:,1) = pwn(:,:,1) * ptb(:,:,1,jn) ! linear free surface |
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| 178 | END IF |
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| 179 | ENDIF |
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[3] | 180 | |
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[2528] | 181 | ! total advective trend |
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[216] | 182 | DO jk = 1, jpkm1 |
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[2528] | 183 | z2dtt = p2dt(jk) |
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[216] | 184 | DO jj = 2, jpjm1 |
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| 185 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 186 | ! total intermediate advective trends |
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[6793] | 187 | ztra = - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
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| 188 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
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| 189 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) / e1e2t(ji,jj) |
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[2528] | 190 | ! update and guess with monotonic sheme |
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[6793] | 191 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra / fse3t_n(ji,jj,jk) * tmask(ji,jj,jk) |
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| 192 | zwi(ji,jj,jk) = ( fse3t_b(ji,jj,jk) * ptb(ji,jj,jk,jn) + z2dtt * ztra ) / fse3t_a(ji,jj,jk) * tmask(ji,jj,jk) |
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[216] | 193 | END DO |
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| 194 | END DO |
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| 195 | END DO |
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[2528] | 196 | ! ! Lateral boundary conditions on zwi (unchanged sign) |
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| 197 | CALL lbc_lnk( zwi, 'T', 1. ) |
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| 198 | |
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| 199 | ! ! trend diagnostics (contribution of upstream fluxes) |
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[7179] | 200 | IF( l_trd .OR. l_trans ) THEN |
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[2528] | 201 | ! store intermediate advective trends |
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| 202 | ztrdx(:,:,:) = zwx(:,:,:) ; ztrdy(:,:,:) = zwy(:,:,:) ; ztrdz(:,:,:) = zwz(:,:,:) |
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| 203 | END IF |
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| 204 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
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[7179] | 205 | IF( cdtype == 'TRA' .AND. ln_diaptr ) zptry(:,:,:) = zwy(:,:,:) |
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[2528] | 206 | |
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| 207 | ! 3. antidiffusive flux : high order minus low order |
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| 208 | ! -------------------------------------------------- |
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| 209 | ! antidiffusive flux on i and j |
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[503] | 210 | DO jk = 1, jpkm1 |
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[2528] | 211 | DO jj = 1, jpjm1 |
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| 212 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 213 | zwx(ji,jj,jk) = 0.5 * pun(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji+1,jj,jk,jn) ) - zwx(ji,jj,jk) |
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| 214 | zwy(ji,jj,jk) = 0.5 * pvn(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji,jj+1,jk,jn) ) - zwy(ji,jj,jk) |
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[503] | 215 | END DO |
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| 216 | END DO |
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| 217 | END DO |
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[2528] | 218 | |
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| 219 | ! antidiffusive flux on k |
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[5120] | 220 | ! Interior value |
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| 221 | DO jk = 2, jpkm1 |
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| 222 | DO jj = 1, jpj |
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| 223 | DO ji = 1, jpi |
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[2528] | 224 | zwz(ji,jj,jk) = 0.5 * pwn(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji,jj,jk-1,jn) ) - zwz(ji,jj,jk) |
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[503] | 225 | END DO |
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| 226 | END DO |
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| 227 | END DO |
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[5120] | 228 | ! surface value |
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| 229 | IF ( ln_isfcav ) THEN |
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| 230 | DO jj = 1, jpj |
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| 231 | DO ji = 1, jpi |
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| 232 | zwz(ji,jj,mikt(ji,jj)) = 0.e0 |
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| 233 | END DO |
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| 234 | END DO |
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| 235 | ELSE |
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| 236 | zwz(:,:,1) = 0.e0 |
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| 237 | END IF |
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[2528] | 238 | CALL lbc_lnk( zwx, 'U', -1. ) ; CALL lbc_lnk( zwy, 'V', -1. ) ! Lateral bondary conditions |
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| 239 | CALL lbc_lnk( zwz, 'W', 1. ) |
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[216] | 240 | |
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[2528] | 241 | ! 4. monotonicity algorithm |
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| 242 | ! ------------------------- |
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| 243 | CALL nonosc( ptb(:,:,:,jn), zwx, zwy, zwz, zwi, p2dt ) |
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[3] | 244 | |
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| 245 | |
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[2528] | 246 | ! 5. final trend with corrected fluxes |
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| 247 | ! ------------------------------------ |
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[216] | 248 | DO jk = 1, jpkm1 |
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| 249 | DO jj = 2, jpjm1 |
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[2528] | 250 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[503] | 251 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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[2528] | 252 | ! total advective trends |
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| 253 | ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
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| 254 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
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| 255 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) |
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| 256 | ! add them to the general tracer trends |
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[4990] | 257 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra * tmask(ji,jj,jk) |
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[216] | 258 | END DO |
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| 259 | END DO |
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| 260 | END DO |
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[2528] | 261 | |
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| 262 | ! ! trend diagnostics (contribution of upstream fluxes) |
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[7179] | 263 | IF( l_trd .OR. l_trans ) THEN |
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[2528] | 264 | ztrdx(:,:,:) = ztrdx(:,:,:) + zwx(:,:,:) ! <<< Add to previously computed |
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| 265 | ztrdy(:,:,:) = ztrdy(:,:,:) + zwy(:,:,:) ! <<< Add to previously computed |
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| 266 | ztrdz(:,:,:) = ztrdz(:,:,:) + zwz(:,:,:) ! <<< Add to previously computed |
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[7179] | 267 | ENDIF |
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| 268 | |
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| 269 | IF( l_trd ) THEN |
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| 270 | CALL trd_tra( kt, cdtype, jn, jptra_xad, ztrdx, pun, ptn(:,:,:,jn) ) |
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| 271 | CALL trd_tra( kt, cdtype, jn, jptra_yad, ztrdy, pvn, ptn(:,:,:,jn) ) |
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| 272 | CALL trd_tra( kt, cdtype, jn, jptra_zad, ztrdz, pwn, ptn(:,:,:,jn) ) |
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[2528] | 273 | END IF |
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[7179] | 274 | |
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| 275 | IF( l_trans .AND. jn==jp_tem ) THEN |
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| 276 | z2d(:,:) = 0._wp |
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| 277 | DO jk = 1, jpkm1 |
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| 278 | DO jj = 2, jpjm1 |
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| 279 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 280 | z2d(ji,jj) = z2d(ji,jj) + ztrdx(ji,jj,jk) |
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| 281 | END DO |
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| 282 | END DO |
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| 283 | END DO |
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| 284 | CALL lbc_lnk( z2d, 'U', -1. ) |
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| 285 | CALL iom_put( "uadv_heattr", rau0_rcp * z2d ) ! heat transport in i-direction |
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| 286 | ! |
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| 287 | z2d(:,:) = 0._wp |
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| 288 | DO jk = 1, jpkm1 |
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| 289 | DO jj = 2, jpjm1 |
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| 290 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 291 | z2d(ji,jj) = z2d(ji,jj) + ztrdy(ji,jj,jk) |
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| 292 | END DO |
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| 293 | END DO |
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| 294 | END DO |
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| 295 | CALL lbc_lnk( z2d, 'V', -1. ) |
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| 296 | CALL iom_put( "vadv_heattr", rau0_rcp * z2d ) ! heat transport in j-direction |
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| 297 | ENDIF |
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| 298 | ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
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[5147] | 299 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
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[7179] | 300 | zptry(:,:,:) = zptry(:,:,:) + zwy(:,:,:) ! <<< Add to previously computed |
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| 301 | CALL dia_ptr_ohst_components( jn, 'adv', zptry(:,:,:) ) |
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[2528] | 302 | ENDIF |
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[503] | 303 | ! |
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[2715] | 304 | END DO |
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[503] | 305 | ! |
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[7179] | 306 | CALL wrk_dealloc( jpi, jpj, jpk, zwi, zwz ) |
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| 307 | IF( l_trd .OR. l_trans ) THEN |
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| 308 | CALL wrk_dealloc( jpi, jpj, jpk, ztrdx, ztrdy, ztrdz ) |
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| 309 | CALL wrk_dealloc( jpi, jpj, z2d ) |
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| 310 | ENDIF |
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| 311 | IF( cdtype == 'TRA' .AND. ln_diaptr ) CALL wrk_dealloc( jpi, jpj, jpk, zptry ) |
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[2528] | 312 | ! |
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[3294] | 313 | IF( nn_timing == 1 ) CALL timing_stop('tra_adv_tvd') |
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[2715] | 314 | ! |
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[3] | 315 | END SUBROUTINE tra_adv_tvd |
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| 316 | |
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[4990] | 317 | SUBROUTINE tra_adv_tvd_zts ( kt, kit000, cdtype, p2dt, pun, pvn, pwn, & |
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| 318 | & ptb, ptn, pta, kjpt ) |
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| 319 | !!---------------------------------------------------------------------- |
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| 320 | !! *** ROUTINE tra_adv_tvd_zts *** |
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| 321 | !! |
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| 322 | !! ** Purpose : Compute the now trend due to total advection of |
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| 323 | !! tracers and add it to the general trend of tracer equations |
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| 324 | !! |
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| 325 | !! ** Method : TVD ZTS scheme, i.e. 2nd order centered scheme with |
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| 326 | !! corrected flux (monotonic correction). This version use sub- |
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| 327 | !! timestepping for the vertical advection which increases stability |
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| 328 | !! when vertical metrics are small. |
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| 329 | !! note: - this advection scheme needs a leap-frog time scheme |
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| 330 | !! |
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| 331 | !! ** Action : - update (pta) with the now advective tracer trends |
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| 332 | !! - save the trends |
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| 333 | !!---------------------------------------------------------------------- |
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| 334 | USE oce , ONLY: zwx => ua , zwy => va ! (ua,va) used as workspace |
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| 335 | ! |
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| 336 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 337 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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| 338 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 339 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 340 | REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step |
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| 341 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components |
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| 342 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields |
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| 343 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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| 344 | ! |
---|
| 345 | REAL(wp), DIMENSION( jpk ) :: zts ! length of sub-timestep for vertical advection |
---|
| 346 | REAL(wp), DIMENSION( jpk ) :: zr_p2dt ! reciprocal of tracer timestep |
---|
| 347 | INTEGER :: ji, jj, jk, jl, jn ! dummy loop indices |
---|
| 348 | INTEGER :: jnzts = 5 ! number of sub-timesteps for vertical advection |
---|
| 349 | INTEGER :: jtb, jtn, jta ! sub timestep pointers for leap-frog/euler forward steps |
---|
| 350 | INTEGER :: jtaken ! toggle for collecting appropriate fluxes from sub timesteps |
---|
| 351 | REAL(wp) :: z_rzts ! Fractional length of Euler forward sub-timestep for vertical advection |
---|
| 352 | REAL(wp) :: z2dtt, zbtr, ztra ! local scalar |
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| 353 | REAL(wp) :: zfp_ui, zfp_vj, zfp_wk ! - - |
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| 354 | REAL(wp) :: zfm_ui, zfm_vj, zfm_wk ! - - |
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| 355 | REAL(wp), POINTER, DIMENSION(:,: ) :: zwx_sav , zwy_sav |
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| 356 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwi, zwz, zhdiv, zwz_sav, zwzts |
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| 357 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrdx, ztrdy, ztrdz |
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[7179] | 358 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zptry |
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[4990] | 359 | REAL(wp), POINTER, DIMENSION(:,:,:,:) :: ztrs |
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| 360 | !!---------------------------------------------------------------------- |
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| 361 | ! |
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| 362 | IF( nn_timing == 1 ) CALL timing_start('tra_adv_tvd_zts') |
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| 363 | ! |
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| 364 | CALL wrk_alloc( jpi, jpj, zwx_sav, zwy_sav ) |
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| 365 | CALL wrk_alloc( jpi, jpj, jpk, zwi, zwz , zhdiv, zwz_sav, zwzts ) |
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[6487] | 366 | CALL wrk_alloc( jpi, jpj, jpk, kjpt+1, ztrs ) |
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[4990] | 367 | ! |
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| 368 | IF( kt == kit000 ) THEN |
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| 369 | IF(lwp) WRITE(numout,*) |
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| 370 | IF(lwp) WRITE(numout,*) 'tra_adv_tvd_zts : TVD ZTS advection scheme on ', cdtype |
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| 371 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 372 | ENDIF |
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| 373 | ! |
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| 374 | l_trd = .FALSE. |
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| 375 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
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| 376 | ! |
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| 377 | IF( l_trd ) THEN |
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| 378 | CALL wrk_alloc( jpi, jpj, jpk, ztrdx, ztrdy, ztrdz ) |
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| 379 | ztrdx(:,:,:) = 0._wp ; ztrdy(:,:,:) = 0._wp ; ztrdz(:,:,:) = 0._wp |
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| 380 | ENDIF |
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| 381 | ! |
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[7179] | 382 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
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| 383 | CALL wrk_alloc( jpi, jpj,jpk, zptry ) |
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| 384 | zptry(:,:,:) = 0._wp |
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| 385 | ENDIF |
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| 386 | ! |
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[4990] | 387 | zwi(:,:,:) = 0._wp |
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| 388 | z_rzts = 1._wp / REAL( jnzts, wp ) |
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| 389 | zr_p2dt(:) = 1._wp / p2dt(:) |
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| 390 | ! |
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| 391 | ! ! =========== |
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| 392 | DO jn = 1, kjpt ! tracer loop |
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| 393 | ! ! =========== |
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| 394 | ! 1. Bottom value : flux set to zero |
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| 395 | ! ---------------------------------- |
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| 396 | zwx(:,:,jpk) = 0._wp ; zwz(:,:,jpk) = 0._wp |
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| 397 | zwy(:,:,jpk) = 0._wp ; zwi(:,:,jpk) = 0._wp |
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[3] | 398 | |
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[4990] | 399 | ! 2. upstream advection with initial mass fluxes & intermediate update |
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| 400 | ! -------------------------------------------------------------------- |
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| 401 | ! upstream tracer flux in the i and j direction |
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| 402 | DO jk = 1, jpkm1 |
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| 403 | DO jj = 1, jpjm1 |
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| 404 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 405 | ! upstream scheme |
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| 406 | zfp_ui = pun(ji,jj,jk) + ABS( pun(ji,jj,jk) ) |
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| 407 | zfm_ui = pun(ji,jj,jk) - ABS( pun(ji,jj,jk) ) |
---|
| 408 | zfp_vj = pvn(ji,jj,jk) + ABS( pvn(ji,jj,jk) ) |
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| 409 | zfm_vj = pvn(ji,jj,jk) - ABS( pvn(ji,jj,jk) ) |
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| 410 | zwx(ji,jj,jk) = 0.5_wp * ( zfp_ui * ptb(ji,jj,jk,jn) + zfm_ui * ptb(ji+1,jj ,jk,jn) ) |
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| 411 | zwy(ji,jj,jk) = 0.5_wp * ( zfp_vj * ptb(ji,jj,jk,jn) + zfm_vj * ptb(ji ,jj+1,jk,jn) ) |
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| 412 | END DO |
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| 413 | END DO |
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| 414 | END DO |
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| 415 | |
---|
| 416 | ! upstream tracer flux in the k direction |
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| 417 | ! Interior value |
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| 418 | DO jk = 2, jpkm1 |
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| 419 | DO jj = 1, jpj |
---|
| 420 | DO ji = 1, jpi |
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| 421 | zfp_wk = pwn(ji,jj,jk) + ABS( pwn(ji,jj,jk) ) |
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| 422 | zfm_wk = pwn(ji,jj,jk) - ABS( pwn(ji,jj,jk) ) |
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| 423 | zwz(ji,jj,jk) = 0.5_wp * ( zfp_wk * ptb(ji,jj,jk,jn) + zfm_wk * ptb(ji,jj,jk-1,jn) ) |
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| 424 | END DO |
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| 425 | END DO |
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| 426 | END DO |
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[5120] | 427 | ! Surface value |
---|
| 428 | IF( lk_vvl ) THEN |
---|
| 429 | IF ( ln_isfcav ) THEN |
---|
| 430 | DO jj = 1, jpj |
---|
| 431 | DO ji = 1, jpi |
---|
| 432 | zwz(ji,jj, mikt(ji,jj) ) = 0.e0 ! volume variable + isf |
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| 433 | END DO |
---|
| 434 | END DO |
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| 435 | ELSE |
---|
| 436 | zwz(:,:,1) = 0.e0 ! volume variable + no isf |
---|
| 437 | END IF |
---|
| 438 | ELSE |
---|
| 439 | IF ( ln_isfcav ) THEN |
---|
| 440 | DO jj = 1, jpj |
---|
| 441 | DO ji = 1, jpi |
---|
| 442 | zwz(ji,jj, mikt(ji,jj) ) = pwn(ji,jj,mikt(ji,jj)) * ptb(ji,jj,mikt(ji,jj),jn) ! linear free surface + isf |
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| 443 | END DO |
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| 444 | END DO |
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| 445 | ELSE |
---|
| 446 | zwz(:,:,1) = pwn(:,:,1) * ptb(:,:,1,jn) ! linear free surface + no isf |
---|
| 447 | END IF |
---|
| 448 | ENDIF |
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[4990] | 449 | |
---|
| 450 | ! total advective trend |
---|
| 451 | DO jk = 1, jpkm1 |
---|
| 452 | z2dtt = p2dt(jk) |
---|
| 453 | DO jj = 2, jpjm1 |
---|
| 454 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 455 | ! total intermediate advective trends |
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[6793] | 456 | ztra = - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
---|
| 457 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
---|
| 458 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) / e1e2t(ji,jj) |
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[4990] | 459 | ! update and guess with monotonic sheme |
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[6793] | 460 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra / fse3t_n(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 461 | zwi(ji,jj,jk) = ( fse3t_b(ji,jj,jk) * ptb(ji,jj,jk,jn) + z2dtt * ztra ) / fse3t_a(ji,jj,jk) * tmask(ji,jj,jk) |
---|
[4990] | 462 | END DO |
---|
| 463 | END DO |
---|
| 464 | END DO |
---|
| 465 | ! ! Lateral boundary conditions on zwi (unchanged sign) |
---|
| 466 | CALL lbc_lnk( zwi, 'T', 1. ) |
---|
| 467 | |
---|
| 468 | ! ! trend diagnostics (contribution of upstream fluxes) |
---|
| 469 | IF( l_trd ) THEN |
---|
| 470 | ! store intermediate advective trends |
---|
| 471 | ztrdx(:,:,:) = zwx(:,:,:) ; ztrdy(:,:,:) = zwy(:,:,:) ; ztrdz(:,:,:) = zwz(:,:,:) |
---|
| 472 | END IF |
---|
| 473 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
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[7179] | 474 | IF( cdtype == 'TRA' .AND. ln_diaptr ) zptry(:,:,:) = zwy(:,:,:) |
---|
[4990] | 475 | |
---|
| 476 | ! 3. antidiffusive flux : high order minus low order |
---|
| 477 | ! -------------------------------------------------- |
---|
| 478 | ! antidiffusive flux on i and j |
---|
[6793] | 479 | ! |
---|
[4990] | 480 | DO jk = 1, jpkm1 |
---|
[6793] | 481 | ! |
---|
[4990] | 482 | DO jj = 1, jpjm1 |
---|
| 483 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 484 | zwx_sav(ji,jj) = zwx(ji,jj,jk) |
---|
| 485 | zwy_sav(ji,jj) = zwy(ji,jj,jk) |
---|
| 486 | |
---|
| 487 | zwx(ji,jj,jk) = 0.5_wp * pun(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji+1,jj,jk,jn) ) |
---|
| 488 | zwy(ji,jj,jk) = 0.5_wp * pvn(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji,jj+1,jk,jn) ) |
---|
| 489 | END DO |
---|
| 490 | END DO |
---|
| 491 | |
---|
| 492 | DO jj = 2, jpjm1 ! partial horizontal divergence |
---|
| 493 | DO ji = fs_2, fs_jpim1 |
---|
| 494 | zhdiv(ji,jj,jk) = ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk) & |
---|
| 495 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk) ) |
---|
| 496 | END DO |
---|
| 497 | END DO |
---|
| 498 | |
---|
| 499 | DO jj = 1, jpjm1 |
---|
| 500 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 501 | zwx(ji,jj,jk) = zwx(ji,jj,jk) - zwx_sav(ji,jj) |
---|
| 502 | zwy(ji,jj,jk) = zwy(ji,jj,jk) - zwy_sav(ji,jj) |
---|
| 503 | END DO |
---|
| 504 | END DO |
---|
| 505 | END DO |
---|
| 506 | |
---|
| 507 | ! antidiffusive flux on k |
---|
| 508 | zwz(:,:,1) = 0._wp ! Surface value |
---|
| 509 | zwz_sav(:,:,:) = zwz(:,:,:) |
---|
| 510 | ! |
---|
| 511 | ztrs(:,:,:,1) = ptb(:,:,:,jn) |
---|
[6795] | 512 | ztrs(:,:,1,2) = ptb(:,:,1,jn) |
---|
| 513 | ztrs(:,:,1,3) = ptb(:,:,1,jn) |
---|
[4990] | 514 | zwzts(:,:,:) = 0._wp |
---|
| 515 | |
---|
| 516 | DO jl = 1, jnzts ! Start of sub timestepping loop |
---|
| 517 | |
---|
| 518 | IF( jl == 1 ) THEN ! Euler forward to kick things off |
---|
| 519 | jtb = 1 ; jtn = 1 ; jta = 2 |
---|
| 520 | zts(:) = p2dt(:) * z_rzts |
---|
| 521 | jtaken = MOD( jnzts + 1 , 2) ! Toggle to collect every second flux |
---|
| 522 | ! starting at jl =1 if jnzts is odd; |
---|
| 523 | ! starting at jl =2 otherwise |
---|
| 524 | ELSEIF( jl == 2 ) THEN ! First leapfrog step |
---|
| 525 | jtb = 1 ; jtn = 2 ; jta = 3 |
---|
| 526 | zts(:) = 2._wp * p2dt(:) * z_rzts |
---|
| 527 | ELSE ! Shuffle pointers for subsequent leapfrog steps |
---|
| 528 | jtb = MOD(jtb,3) + 1 |
---|
| 529 | jtn = MOD(jtn,3) + 1 |
---|
| 530 | jta = MOD(jta,3) + 1 |
---|
| 531 | ENDIF |
---|
| 532 | DO jk = 2, jpkm1 ! Interior value |
---|
| 533 | DO jj = 2, jpjm1 |
---|
| 534 | DO ji = fs_2, fs_jpim1 |
---|
| 535 | zwz(ji,jj,jk) = 0.5_wp * pwn(ji,jj,jk) * ( ztrs(ji,jj,jk,jtn) + ztrs(ji,jj,jk-1,jtn) ) |
---|
| 536 | IF( jtaken == 0 ) zwzts(ji,jj,jk) = zwzts(ji,jj,jk) + zwz(ji,jj,jk)*zts(jk) ! Accumulate time-weighted vertcal flux |
---|
| 537 | END DO |
---|
| 538 | END DO |
---|
| 539 | END DO |
---|
| 540 | |
---|
| 541 | jtaken = MOD( jtaken + 1 , 2 ) |
---|
| 542 | |
---|
| 543 | DO jk = 2, jpkm1 ! Interior value |
---|
| 544 | DO jj = 2, jpjm1 |
---|
| 545 | DO ji = fs_2, fs_jpim1 |
---|
| 546 | zbtr = 1._wp / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
---|
| 547 | ! total advective trends |
---|
| 548 | ztra = - zbtr * ( zhdiv(ji,jj,jk) + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) |
---|
| 549 | ztrs(ji,jj,jk,jta) = ztrs(ji,jj,jk,jtb) + zts(jk) * ztra |
---|
| 550 | END DO |
---|
| 551 | END DO |
---|
| 552 | END DO |
---|
| 553 | |
---|
| 554 | END DO |
---|
| 555 | |
---|
| 556 | DO jk = 2, jpkm1 ! Anti-diffusive vertical flux using average flux from the sub-timestepping |
---|
| 557 | DO jj = 2, jpjm1 |
---|
| 558 | DO ji = fs_2, fs_jpim1 |
---|
| 559 | zwz(ji,jj,jk) = zwzts(ji,jj,jk) * zr_p2dt(jk) - zwz_sav(ji,jj,jk) |
---|
| 560 | END DO |
---|
| 561 | END DO |
---|
| 562 | END DO |
---|
| 563 | CALL lbc_lnk( zwx, 'U', -1. ) ; CALL lbc_lnk( zwy, 'V', -1. ) ! Lateral bondary conditions |
---|
| 564 | CALL lbc_lnk( zwz, 'W', 1. ) |
---|
| 565 | |
---|
| 566 | ! 4. monotonicity algorithm |
---|
| 567 | ! ------------------------- |
---|
| 568 | CALL nonosc( ptb(:,:,:,jn), zwx, zwy, zwz, zwi, p2dt ) |
---|
| 569 | |
---|
| 570 | |
---|
| 571 | ! 5. final trend with corrected fluxes |
---|
| 572 | ! ------------------------------------ |
---|
| 573 | DO jk = 1, jpkm1 |
---|
| 574 | DO jj = 2, jpjm1 |
---|
| 575 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 576 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
---|
| 577 | ! total advective trends |
---|
| 578 | ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
---|
| 579 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
---|
| 580 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) |
---|
| 581 | ! add them to the general tracer trends |
---|
| 582 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
---|
| 583 | END DO |
---|
| 584 | END DO |
---|
| 585 | END DO |
---|
| 586 | |
---|
| 587 | ! ! trend diagnostics (contribution of upstream fluxes) |
---|
| 588 | IF( l_trd ) THEN |
---|
| 589 | ztrdx(:,:,:) = ztrdx(:,:,:) + zwx(:,:,:) ! <<< Add to previously computed |
---|
| 590 | ztrdy(:,:,:) = ztrdy(:,:,:) + zwy(:,:,:) ! <<< Add to previously computed |
---|
| 591 | ztrdz(:,:,:) = ztrdz(:,:,:) + zwz(:,:,:) ! <<< Add to previously computed |
---|
| 592 | |
---|
| 593 | CALL trd_tra( kt, cdtype, jn, jptra_xad, ztrdx, pun, ptn(:,:,:,jn) ) |
---|
| 594 | CALL trd_tra( kt, cdtype, jn, jptra_yad, ztrdy, pvn, ptn(:,:,:,jn) ) |
---|
| 595 | CALL trd_tra( kt, cdtype, jn, jptra_zad, ztrdz, pwn, ptn(:,:,:,jn) ) |
---|
| 596 | END IF |
---|
| 597 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
---|
[5147] | 598 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
---|
[7179] | 599 | zptry(:,:,:) = zptry(:,:,:) + zwy(:,:,:) |
---|
| 600 | CALL dia_ptr_ohst_components( jn, 'adv', zptry(:,:,:) ) |
---|
[4990] | 601 | ENDIF |
---|
| 602 | ! |
---|
| 603 | END DO |
---|
| 604 | ! |
---|
| 605 | CALL wrk_dealloc( jpi, jpj, jpk, zwi, zwz, zhdiv, zwz_sav, zwzts ) |
---|
[6487] | 606 | CALL wrk_dealloc( jpi, jpj, jpk, kjpt+1, ztrs ) |
---|
[4990] | 607 | CALL wrk_dealloc( jpi, jpj, zwx_sav, zwy_sav ) |
---|
| 608 | IF( l_trd ) CALL wrk_dealloc( jpi, jpj, jpk, ztrdx, ztrdy, ztrdz ) |
---|
[7179] | 609 | IF( cdtype == 'TRA' .AND. ln_diaptr ) CALL wrk_dealloc( jpi, jpj, jpk, zptry ) |
---|
[4990] | 610 | ! |
---|
| 611 | IF( nn_timing == 1 ) CALL timing_stop('tra_adv_tvd_zts') |
---|
| 612 | ! |
---|
| 613 | END SUBROUTINE tra_adv_tvd_zts |
---|
| 614 | |
---|
[6793] | 615 | |
---|
[2528] | 616 | SUBROUTINE nonosc( pbef, paa, pbb, pcc, paft, p2dt ) |
---|
[3] | 617 | !!--------------------------------------------------------------------- |
---|
| 618 | !! *** ROUTINE nonosc *** |
---|
| 619 | !! |
---|
| 620 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
---|
| 621 | !! scheme and the before field by a nonoscillatory algorithm |
---|
| 622 | !! |
---|
| 623 | !! ** Method : ... ??? |
---|
| 624 | !! warning : pbef and paft must be masked, but the boundaries |
---|
| 625 | !! conditions on the fluxes are not necessary zalezak (1979) |
---|
| 626 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
---|
| 627 | !! in-space based differencing for fluid |
---|
| 628 | !!---------------------------------------------------------------------- |
---|
[2528] | 629 | REAL(wp), DIMENSION(jpk) , INTENT(in ) :: p2dt ! vertical profile of tracer time-step |
---|
| 630 | REAL(wp), DIMENSION (jpi,jpj,jpk), INTENT(in ) :: pbef, paft ! before & after field |
---|
| 631 | REAL(wp), DIMENSION (jpi,jpj,jpk), INTENT(inout) :: paa, pbb, pcc ! monotonic fluxes in the 3 directions |
---|
[2715] | 632 | ! |
---|
[4990] | 633 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 634 | INTEGER :: ikm1 ! local integer |
---|
[2715] | 635 | REAL(wp) :: zpos, zneg, zbt, za, zb, zc, zbig, zrtrn, z2dtt ! local scalars |
---|
| 636 | REAL(wp) :: zau, zbu, zcu, zav, zbv, zcv, zup, zdo ! - - |
---|
[3294] | 637 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zbetup, zbetdo, zbup, zbdo |
---|
[3] | 638 | !!---------------------------------------------------------------------- |
---|
[3294] | 639 | ! |
---|
| 640 | IF( nn_timing == 1 ) CALL timing_start('nonosc') |
---|
| 641 | ! |
---|
| 642 | CALL wrk_alloc( jpi, jpj, jpk, zbetup, zbetdo, zbup, zbdo ) |
---|
| 643 | ! |
---|
[2715] | 644 | zbig = 1.e+40_wp |
---|
| 645 | zrtrn = 1.e-15_wp |
---|
[4990] | 646 | zbetup(:,:,:) = 0._wp ; zbetdo(:,:,:) = 0._wp |
---|
[785] | 647 | |
---|
[3] | 648 | ! Search local extrema |
---|
| 649 | ! -------------------- |
---|
[785] | 650 | ! max/min of pbef & paft with large negative/positive value (-/+zbig) inside land |
---|
[4990] | 651 | zbup = MAX( pbef * tmask - zbig * ( 1._wp - tmask ), & |
---|
| 652 | & paft * tmask - zbig * ( 1._wp - tmask ) ) |
---|
| 653 | zbdo = MIN( pbef * tmask + zbig * ( 1._wp - tmask ), & |
---|
| 654 | & paft * tmask + zbig * ( 1._wp - tmask ) ) |
---|
[785] | 655 | |
---|
[5120] | 656 | DO jk = 1, jpkm1 |
---|
| 657 | ikm1 = MAX(jk-1,1) |
---|
| 658 | z2dtt = p2dt(jk) |
---|
| 659 | DO jj = 2, jpjm1 |
---|
| 660 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 661 | |
---|
[785] | 662 | ! search maximum in neighbourhood |
---|
| 663 | zup = MAX( zbup(ji ,jj ,jk ), & |
---|
| 664 | & zbup(ji-1,jj ,jk ), zbup(ji+1,jj ,jk ), & |
---|
| 665 | & zbup(ji ,jj-1,jk ), zbup(ji ,jj+1,jk ), & |
---|
| 666 | & zbup(ji ,jj ,ikm1), zbup(ji ,jj ,jk+1) ) |
---|
[3] | 667 | |
---|
[785] | 668 | ! search minimum in neighbourhood |
---|
| 669 | zdo = MIN( zbdo(ji ,jj ,jk ), & |
---|
| 670 | & zbdo(ji-1,jj ,jk ), zbdo(ji+1,jj ,jk ), & |
---|
| 671 | & zbdo(ji ,jj-1,jk ), zbdo(ji ,jj+1,jk ), & |
---|
| 672 | & zbdo(ji ,jj ,ikm1), zbdo(ji ,jj ,jk+1) ) |
---|
[3] | 673 | |
---|
[785] | 674 | ! positive part of the flux |
---|
[3] | 675 | zpos = MAX( 0., paa(ji-1,jj ,jk ) ) - MIN( 0., paa(ji ,jj ,jk ) ) & |
---|
| 676 | & + MAX( 0., pbb(ji ,jj-1,jk ) ) - MIN( 0., pbb(ji ,jj ,jk ) ) & |
---|
| 677 | & + MAX( 0., pcc(ji ,jj ,jk+1) ) - MIN( 0., pcc(ji ,jj ,jk ) ) |
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[785] | 678 | |
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| 679 | ! negative part of the flux |
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[3] | 680 | zneg = MAX( 0., paa(ji ,jj ,jk ) ) - MIN( 0., paa(ji-1,jj ,jk ) ) & |
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| 681 | & + MAX( 0., pbb(ji ,jj ,jk ) ) - MIN( 0., pbb(ji ,jj-1,jk ) ) & |
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| 682 | & + MAX( 0., pcc(ji ,jj ,jk ) ) - MIN( 0., pcc(ji ,jj ,jk+1) ) |
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[785] | 683 | |
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[3] | 684 | ! up & down beta terms |
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| 685 | zbt = e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) / z2dtt |
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[785] | 686 | zbetup(ji,jj,jk) = ( zup - paft(ji,jj,jk) ) / ( zpos + zrtrn ) * zbt |
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| 687 | zbetdo(ji,jj,jk) = ( paft(ji,jj,jk) - zdo ) / ( zneg + zrtrn ) * zbt |
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[3] | 688 | END DO |
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| 689 | END DO |
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| 690 | END DO |
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[2528] | 691 | CALL lbc_lnk( zbetup, 'T', 1. ) ; CALL lbc_lnk( zbetdo, 'T', 1. ) ! lateral boundary cond. (unchanged sign) |
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[3] | 692 | |
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[237] | 693 | ! 3. monotonic flux in the i & j direction (paa & pbb) |
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| 694 | ! ---------------------------------------- |
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[3] | 695 | DO jk = 1, jpkm1 |
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| 696 | DO jj = 2, jpjm1 |
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| 697 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[4990] | 698 | zau = MIN( 1._wp, zbetdo(ji,jj,jk), zbetup(ji+1,jj,jk) ) |
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| 699 | zbu = MIN( 1._wp, zbetup(ji,jj,jk), zbetdo(ji+1,jj,jk) ) |
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[785] | 700 | zcu = ( 0.5 + SIGN( 0.5 , paa(ji,jj,jk) ) ) |
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[4990] | 701 | paa(ji,jj,jk) = paa(ji,jj,jk) * ( zcu * zau + ( 1._wp - zcu) * zbu ) |
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[3] | 702 | |
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[4990] | 703 | zav = MIN( 1._wp, zbetdo(ji,jj,jk), zbetup(ji,jj+1,jk) ) |
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| 704 | zbv = MIN( 1._wp, zbetup(ji,jj,jk), zbetdo(ji,jj+1,jk) ) |
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[785] | 705 | zcv = ( 0.5 + SIGN( 0.5 , pbb(ji,jj,jk) ) ) |
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[4990] | 706 | pbb(ji,jj,jk) = pbb(ji,jj,jk) * ( zcv * zav + ( 1._wp - zcv) * zbv ) |
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[3] | 707 | |
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| 708 | ! monotonic flux in the k direction, i.e. pcc |
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| 709 | ! ------------------------------------------- |
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[785] | 710 | za = MIN( 1., zbetdo(ji,jj,jk+1), zbetup(ji,jj,jk) ) |
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| 711 | zb = MIN( 1., zbetup(ji,jj,jk+1), zbetdo(ji,jj,jk) ) |
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| 712 | zc = ( 0.5 + SIGN( 0.5 , pcc(ji,jj,jk+1) ) ) |
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[4990] | 713 | pcc(ji,jj,jk+1) = pcc(ji,jj,jk+1) * ( zc * za + ( 1._wp - zc) * zb ) |
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[3] | 714 | END DO |
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| 715 | END DO |
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| 716 | END DO |
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[2528] | 717 | CALL lbc_lnk( paa, 'U', -1. ) ; CALL lbc_lnk( pbb, 'V', -1. ) ! lateral boundary condition (changed sign) |
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[503] | 718 | ! |
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[3294] | 719 | CALL wrk_dealloc( jpi, jpj, jpk, zbetup, zbetdo, zbup, zbdo ) |
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[2715] | 720 | ! |
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[3294] | 721 | IF( nn_timing == 1 ) CALL timing_stop('nonosc') |
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| 722 | ! |
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[3] | 723 | END SUBROUTINE nonosc |
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| 724 | |
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| 725 | !!====================================================================== |
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| 726 | END MODULE traadv_tvd |
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