[5105] | 1 | MODULE traadv_tvd_crs |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE traadv_tvd *** |
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| 4 | !! Ocean tracers: horizontal & vertical advective trend |
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| 5 | !!============================================================================== |
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| 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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| 16 | !!---------------------------------------------------------------------- |
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| 17 | |
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| 18 | !!---------------------------------------------------------------------- |
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| 19 | !! tra_adv_tvd : update the tracer trend with the horizontal |
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| 20 | !! and vertical advection trends using a TVD scheme |
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| 21 | !! nonosc : compute monotonic tracer fluxes by a nonoscillatory |
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| 22 | !! algorithm |
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| 23 | !!---------------------------------------------------------------------- |
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| 24 | USE oce ! ocean dynamics and active tracers |
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| 25 | USE dom_oce , ONLY : lk_vvl |
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[5601] | 26 | USE trd_oce ! tracers trends |
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[5105] | 27 | USE trdtra ! tracers trends |
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| 28 | USE in_out_manager ! I/O manager |
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| 29 | USE dynspg_oce ! choice/control of key cpp for surface pressure gradient |
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| 30 | USE lib_mpp ! MPP library |
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| 31 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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| 32 | USE diaptr ! poleward transport diagnostics |
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| 33 | USE trc_oce ! share passive tracers/Ocean variables |
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| 34 | USE wrk_nemo ! Memory Allocation |
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| 35 | USE timing ! Timing |
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| 36 | USE crs |
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| 37 | USE crslbclnk |
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| 38 | |
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| 39 | IMPLICIT NONE |
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| 40 | PRIVATE |
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| 41 | |
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| 42 | PUBLIC tra_adv_tvd_crs ! routine called by step.F90 |
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| 43 | |
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| 44 | LOGICAL :: l_trd ! flag to compute trends |
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| 45 | |
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| 46 | !! * Substitutions |
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| 47 | # include "domzgr_substitute.h90" |
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| 48 | # include "vectopt_loop_substitute.h90" |
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| 49 | !!---------------------------------------------------------------------- |
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| 50 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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| 51 | !! $Id: traadv_tvd.F90 3294 2012-01-28 16:44:18Z rblod $ |
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| 52 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 53 | !!---------------------------------------------------------------------- |
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| 54 | CONTAINS |
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| 55 | |
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| 56 | SUBROUTINE tra_adv_tvd_crs ( kt, kit000, cdtype, p2dt, pun, pvn, pwn, & |
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| 57 | & ptb, ptn, pta, kjpt ) |
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| 58 | !!---------------------------------------------------------------------- |
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| 59 | !! *** ROUTINE tra_adv_tvd *** |
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| 60 | !! |
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| 61 | !! ** Purpose : Compute the now trend due to total advection of |
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| 62 | !! tracers and add it to the general trend of tracer equations |
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| 63 | !! |
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| 64 | !! ** Method : TVD scheme, i.e. 2nd order centered scheme with |
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| 65 | !! corrected flux (monotonic correction) |
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| 66 | !! note: - this advection scheme needs a leap-frog time scheme |
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| 67 | !! |
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| 68 | !! ** Action : - update (pta) with the now advective tracer trends |
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| 69 | !! - save the trends |
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| 70 | !!---------------------------------------------------------------------- |
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| 71 | !cbr ça fait des trucs bizarres USE oce , ONLY: zwx => ua , zwy => va ! (ua,va) used as workspace |
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| 72 | ! |
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| 73 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 74 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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| 75 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 76 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 77 | REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step |
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| 78 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components |
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| 79 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields |
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| 80 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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| 81 | ! |
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| 82 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 83 | REAL(wp) :: z2dtt, zbtr, ztra ! local scalar |
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| 84 | REAL(wp) :: zfp_ui, zfp_vj, zfp_wk ! - - |
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| 85 | REAL(wp) :: zfm_ui, zfm_vj, zfm_wk ! - - |
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| 86 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwi, zwz,zwx,zwy |
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| 87 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrdx, ztrdy, ztrdz |
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| 88 | |
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| 89 | INTEGER :: iji, ijj, ijk ! dummy loop indices |
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| 90 | REAL(wp) :: zmin,zmax |
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| 91 | !!---------------------------------------------------------------------- |
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| 92 | ! |
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[6772] | 93 | |
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[5105] | 94 | IF( nn_timing == 1 ) CALL timing_start('tra_adv_tvd') |
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| 95 | ! |
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| 96 | CALL wrk_alloc( jpi, jpj, jpk, zwi, zwz , zwx, zwy ) |
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| 97 | ! |
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| 98 | IF( kt == kit000 ) THEN |
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| 99 | IF(lwp) WRITE(numout,*) |
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| 100 | IF(lwp) WRITE(numout,*) 'tra_adv_tvd : TVD advection scheme on ', cdtype |
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| 101 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 102 | ! |
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| 103 | l_trd = .FALSE. |
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| 104 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
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| 105 | |
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| 106 | IF(lwp) WRITE(numout,*)"jpi jpj jpkm1 ",jpi,jpj,jpkm1 |
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| 107 | ENDIF |
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| 108 | ! |
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| 109 | IF( l_trd ) THEN |
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| 110 | CALL wrk_alloc( jpi, jpj, jpk, ztrdx, ztrdy, ztrdz ) |
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| 111 | ztrdx(:,:,:) = 0.e0 ; ztrdy(:,:,:) = 0.e0 ; ztrdz(:,:,:) = 0.e0 |
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| 112 | ENDIF |
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| 113 | ! |
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| 114 | zwi(:,:,:) = 0.e0 |
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| 115 | ! |
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| 116 | ! ! =========== |
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| 117 | DO jn = 1, kjpt ! tracer loop |
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| 118 | ! ! =========== |
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| 119 | ! 1. Bottom value : flux set to zero |
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| 120 | ! ---------------------------------- |
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| 121 | zwx(:,:,jpk) = 0.e0 ; zwz(:,:,jpk) = 0.e0 |
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| 122 | zwy(:,:,jpk) = 0.e0 ; zwi(:,:,jpk) = 0.e0 |
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| 123 | |
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| 124 | ! 2. upstream advection with initial mass fluxes & intermediate update |
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| 125 | ! -------------------------------------------------------------------- |
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| 126 | |
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| 127 | ! upstream tracer flux in the i and j direction |
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| 128 | DO jk = 1, jpkm1 |
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[6772] | 129 | DO jj = 2, jpj_crs-1 |
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| 130 | DO ji = 2, jpi_crs-1 |
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[5105] | 131 | ! upstream scheme |
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| 132 | zfp_ui = pun(ji,jj,jk) + ABS( pun(ji,jj,jk) ) |
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| 133 | zfm_ui = pun(ji,jj,jk) - ABS( pun(ji,jj,jk) ) |
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| 134 | zfp_vj = pvn(ji,jj,jk) + ABS( pvn(ji,jj,jk) ) |
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| 135 | zfm_vj = pvn(ji,jj,jk) - ABS( pvn(ji,jj,jk) ) |
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| 136 | 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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| 137 | 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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| 138 | END DO |
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| 139 | END DO |
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| 140 | END DO |
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[6772] | 141 | CALL crs_lbc_lnk( zwx, 'U', -1._wp ) |
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| 142 | CALL crs_lbc_lnk( zwy, 'V', -1._wp ) |
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[5105] | 143 | ! upstream tracer flux in the k direction |
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| 144 | ! Surface value |
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| 145 | IF( lk_vvl ) THEN ; zwz(:,:, 1 ) = 0.e0 ! volume variable |
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[7795] | 146 | ELSE ; zwz(:,:, 1 ) = pwn(:,:,1) * ptb(:,:,1,jn) ! linear free surface |
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[5105] | 147 | ENDIF |
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| 148 | ! Interior value |
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| 149 | DO jk = 2, jpkm1 |
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[6772] | 150 | DO jj = 2, jpj_crs-1 |
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| 151 | DO ji = nldi_crs, nlei_crs |
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[5105] | 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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| 154 | zwz(ji,jj,jk) = 0.5 * ( zfp_wk * ptb(ji,jj,jk,jn) + zfm_wk * ptb(ji,jj,jk-1,jn) ) |
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| 155 | END DO |
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| 156 | END DO |
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| 157 | END DO |
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[6772] | 158 | CALL crs_lbc_lnk( zwz, 'T', 1. ) |
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| 159 | |
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[5105] | 160 | ! total advective trend |
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| 161 | DO jk = 1, jpkm1 |
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| 162 | z2dtt = p2dt(jk) |
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[6772] | 163 | DO jj = 2, jpj_crs-1 |
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| 164 | DO ji = 2, jpi_crs-1 |
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[5105] | 165 | zbtr = r1_bt_crs(ji,jj,jk) |
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| 166 | ! total intermediate advective trends |
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| 167 | ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
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| 168 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
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| 169 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) |
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[6772] | 170 | |
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[5105] | 171 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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| 172 | zwi(ji,jj,jk) = ( ptb(ji,jj,jk,jn) + z2dtt * ztra ) * tmask_crs(ji,jj,jk) |
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| 173 | END DO |
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| 174 | END DO |
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| 175 | END DO |
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[6772] | 176 | |
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[5105] | 177 | ! ! Lateral boundary conditions on zwi (unchanged sign) |
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| 178 | CALL crs_lbc_lnk( zwi, 'T', 1. ) |
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| 179 | |
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| 180 | ! ! trend diagnostics (contribution of upstream fluxes) |
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| 181 | IF( l_trd ) THEN |
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| 182 | ! store intermediate advective trends |
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| 183 | ztrdx(:,:,:) = zwx(:,:,:) ; ztrdy(:,:,:) = zwy(:,:,:) ; ztrdz(:,:,:) = zwz(:,:,:) |
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| 184 | END IF |
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| 185 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
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[6101] | 186 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
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| 187 | IF( jn == jp_tem ) htr_adv(:) = ptr_sj( zwy(:,:,:) ) |
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| 188 | IF( jn == jp_sal ) str_adv(:) = ptr_sj( zwy(:,:,:) ) |
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[5105] | 189 | ENDIF |
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| 190 | |
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| 191 | ! 3. antidiffusive flux : high order minus low order |
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| 192 | ! -------------------------------------------------- |
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| 193 | ! antidiffusive flux on i and j |
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| 194 | DO jk = 1, jpkm1 |
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[6772] | 195 | DO jj = 2, jpj_crs-1 |
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| 196 | DO ji = 2, jpi_crs-1 |
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[5105] | 197 | 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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| 198 | 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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| 199 | END DO |
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| 200 | END DO |
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| 201 | END DO |
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| 202 | ! antidiffusive flux on k |
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| 203 | zwz(:,:,1) = 0.e0 ! Surface value |
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| 204 | ! |
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| 205 | DO jk = 2, jpkm1 ! Interior value |
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[6772] | 206 | DO jj = 2, jpj_crs-1 |
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| 207 | DO ji = 2, jpi_crs-1 |
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[5105] | 208 | 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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| 209 | END DO |
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| 210 | END DO |
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[6772] | 211 | END DO |
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[5105] | 212 | CALL crs_lbc_lnk( zwx, 'U', -1. ) ; CALL crs_lbc_lnk( zwy, 'V', -1. ) ! Lateral bondary conditions |
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| 213 | CALL crs_lbc_lnk( zwz, 'W', 1. ) |
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| 214 | |
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| 215 | ! 4. monotonicity algorithm |
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| 216 | ! ------------------------- |
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| 217 | CALL nonosc_crs( ptb(:,:,:,jn), zwx, zwy, zwz, zwi, p2dt ) |
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| 218 | |
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| 219 | ! 5. final trend with corrected fluxes |
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| 220 | ! ------------------------------------ |
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| 221 | DO jk = 1, jpkm1 |
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[6772] | 222 | DO jj = 2, jpj_crs-1 |
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| 223 | DO ji = 2, jpi_crs-1 |
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[5105] | 224 | zbtr = r1_bt_crs(ji,jj,jk) |
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| 225 | ! total advective trends |
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| 226 | ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
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| 227 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
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| 228 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) |
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| 229 | ! add them to the general tracer trends |
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| 230 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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| 231 | |
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| 232 | |
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| 233 | END DO |
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| 234 | END DO |
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| 235 | END DO |
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| 236 | |
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| 237 | ! ! trend diagnostics (contribution of upstream fluxes) |
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| 238 | IF( l_trd ) THEN |
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| 239 | ztrdx(:,:,:) = ztrdx(:,:,:) + zwx(:,:,:) ! <<< Add to previously computed |
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| 240 | ztrdy(:,:,:) = ztrdy(:,:,:) + zwy(:,:,:) ! <<< Add to previously computed |
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| 241 | ztrdz(:,:,:) = ztrdz(:,:,:) + zwz(:,:,:) ! <<< Add to previously computed |
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| 242 | |
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[5601] | 243 | CALL trd_tra( kt, cdtype, jn, jptra_xad, ztrdx, pun, ptn(:,:,:,jn) ) |
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| 244 | CALL trd_tra( kt, cdtype, jn, jptra_yad, ztrdy, pvn, ptn(:,:,:,jn) ) |
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| 245 | CALL trd_tra( kt, cdtype, jn, jptra_zad, ztrdz, pwn, ptn(:,:,:,jn) ) |
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[5105] | 246 | END IF |
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| 247 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
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[6101] | 248 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
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| 249 | IF( jn == jp_tem ) htr_adv(:) = ptr_sj( zwy(:,:,:) ) + htr_adv(:) |
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| 250 | IF( jn == jp_sal ) str_adv(:) = ptr_sj( zwy(:,:,:) ) + str_adv(:) |
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[5105] | 251 | ENDIF |
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| 252 | ! |
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| 253 | END DO |
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| 254 | ! |
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[6772] | 255 | |
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[5105] | 256 | CALL wrk_dealloc( jpi, jpj, jpk, zwi, zwz , zwx, zwy ) |
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| 257 | IF( l_trd ) CALL wrk_dealloc( jpi, jpj, jpk, ztrdx, ztrdy, ztrdz ) |
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| 258 | ! |
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| 259 | IF( nn_timing == 1 ) CALL timing_stop('tra_adv_tvd') |
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| 260 | ! |
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| 261 | END SUBROUTINE tra_adv_tvd_crs |
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| 262 | |
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| 263 | |
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| 264 | SUBROUTINE nonosc_crs( pbef, paa, pbb, pcc, paft, p2dt ) |
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| 265 | !!--------------------------------------------------------------------- |
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| 266 | !! *** ROUTINE nonosc *** |
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| 267 | !! |
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| 268 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
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| 269 | !! scheme and the before field by a nonoscillatory algorithm |
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| 270 | !! |
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| 271 | !! ** Method : ... ??? |
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| 272 | !! warning : pbef and paft must be masked, but the boundaries |
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| 273 | !! conditions on the fluxes are not necessary zalezak (1979) |
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| 274 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
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| 275 | !! in-space based differencing for fluid |
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| 276 | !!---------------------------------------------------------------------- |
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| 277 | ! |
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| 278 | !!---------------------------------------------------------------------- |
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| 279 | REAL(wp), DIMENSION(jpk) , INTENT(in ) :: p2dt ! vertical profile of tracer time-step |
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| 280 | REAL(wp), DIMENSION (jpi,jpj,jpk), INTENT(in ) :: pbef, paft ! before & after field |
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| 281 | REAL(wp), DIMENSION (jpi,jpj,jpk), INTENT(inout) :: paa, pbb, pcc ! monotonic fluxes in the 3 directions |
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| 282 | ! |
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| 283 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 284 | INTEGER :: ikm1 ! local integer |
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| 285 | REAL(wp) :: zpos, zneg, zbt, za, zb, zc, zbig, zrtrn, z2dtt ! local scalars |
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| 286 | REAL(wp) :: zau, zbu, zcu, zav, zbv, zcv, zup, zdo ! - - |
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| 287 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zbetup, zbetdo, zbup, zbdo |
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| 288 | !!---------------------------------------------------------------------- |
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| 289 | ! |
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| 290 | IF( nn_timing == 1 ) CALL timing_start('nonosc') |
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| 291 | ! |
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| 292 | CALL wrk_alloc( jpi, jpj, jpk, zbetup, zbetdo, zbup, zbdo ) |
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| 293 | ! |
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| 294 | |
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| 295 | zbig = 1.e+40_wp |
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| 296 | zrtrn = 1.e-15_wp |
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| 297 | zbetup(:,:,jpk) = 0._wp ; zbetdo(:,:,jpk) = 0._wp |
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| 298 | |
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| 299 | |
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| 300 | ! Search local extrema |
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| 301 | ! -------------------- |
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| 302 | ! max/min of pbef & paft with large negative/positive value (-/+zbig) inside land |
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| 303 | zbup = MAX( pbef * tmask_crs - zbig * ( 1.e0 - tmask_crs ), & |
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| 304 | & paft * tmask_crs - zbig * ( 1.e0 - tmask_crs ) ) |
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| 305 | zbdo = MIN( pbef * tmask_crs + zbig * ( 1.e0 - tmask_crs ), & |
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| 306 | & paft * tmask_crs + zbig * ( 1.e0 - tmask_crs ) ) |
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| 307 | |
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| 308 | DO jk = 1, jpkm1 |
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| 309 | ikm1 = MAX(jk-1,1) |
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| 310 | z2dtt = p2dt(jk) |
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[6772] | 311 | DO jj = 2, jpj_crs-1 |
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| 312 | DO ji = 2, jpi_crs-1 |
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[5105] | 313 | |
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| 314 | ! search maximum in neighbourhood |
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| 315 | zup = MAX( zbup(ji ,jj ,jk ), & |
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| 316 | & zbup(ji-1,jj ,jk ), zbup(ji+1,jj ,jk ), & |
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| 317 | & zbup(ji ,jj-1,jk ), zbup(ji ,jj+1,jk ), & |
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| 318 | & zbup(ji ,jj ,ikm1), zbup(ji ,jj ,jk+1) ) |
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| 319 | |
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| 320 | ! search minimum in neighbourhood |
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| 321 | zdo = MIN( zbdo(ji ,jj ,jk ), & |
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| 322 | & zbdo(ji-1,jj ,jk ), zbdo(ji+1,jj ,jk ), & |
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| 323 | & zbdo(ji ,jj-1,jk ), zbdo(ji ,jj+1,jk ), & |
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| 324 | & zbdo(ji ,jj ,ikm1), zbdo(ji ,jj ,jk+1) ) |
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| 325 | |
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| 326 | ! positive part of the flux |
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| 327 | zpos = MAX( 0., paa(ji-1,jj ,jk ) ) - MIN( 0., paa(ji ,jj ,jk ) ) & |
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| 328 | & + MAX( 0., pbb(ji ,jj-1,jk ) ) - MIN( 0., pbb(ji ,jj ,jk ) ) & |
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| 329 | & + MAX( 0., pcc(ji ,jj ,jk+1) ) - MIN( 0., pcc(ji ,jj ,jk ) ) |
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| 330 | |
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| 331 | ! negative part of the flux |
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| 332 | zneg = MAX( 0., paa(ji ,jj ,jk ) ) - MIN( 0., paa(ji-1,jj ,jk ) ) & |
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| 333 | & + MAX( 0., pbb(ji ,jj ,jk ) ) - MIN( 0., pbb(ji ,jj-1,jk ) ) & |
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| 334 | & + MAX( 0., pcc(ji ,jj ,jk ) ) - MIN( 0., pcc(ji ,jj ,jk+1) ) |
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| 335 | |
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| 336 | ! up & down beta terms |
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| 337 | zbt = bt_crs(ji,jj,jk) / z2dtt |
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| 338 | zbetup(ji,jj,jk) = ( zup - paft(ji,jj,jk) ) / ( zpos + zrtrn ) * zbt |
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| 339 | zbetdo(ji,jj,jk) = ( paft(ji,jj,jk) - zdo ) / ( zneg + zrtrn ) * zbt |
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| 340 | END DO |
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| 341 | END DO |
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| 342 | END DO |
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| 343 | CALL crs_lbc_lnk( zbetup, 'T', 1. ) ; CALL crs_lbc_lnk( zbetdo, 'T', 1. ) ! lateral boundary cond. (unchanged sign) |
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| 344 | |
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| 345 | ! 3. monotonic flux in the i & j direction (paa & pbb) |
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| 346 | ! ---------------------------------------- |
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| 347 | DO jk = 1, jpkm1 |
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[6772] | 348 | DO jj = 2, jpj_crs-1 |
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| 349 | DO ji = 2, jpi_crs-1 |
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[5105] | 350 | zau = MIN( 1.e0, zbetdo(ji,jj,jk), zbetup(ji+1,jj,jk) ) |
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| 351 | zbu = MIN( 1.e0, zbetup(ji,jj,jk), zbetdo(ji+1,jj,jk) ) |
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| 352 | zcu = ( 0.5 + SIGN( 0.5 , paa(ji,jj,jk) ) ) |
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| 353 | paa(ji,jj,jk) = paa(ji,jj,jk) * ( zcu * zau + ( 1.e0 - zcu) * zbu ) |
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| 354 | |
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| 355 | zav = MIN( 1.e0, zbetdo(ji,jj,jk), zbetup(ji,jj+1,jk) ) |
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| 356 | zbv = MIN( 1.e0, zbetup(ji,jj,jk), zbetdo(ji,jj+1,jk) ) |
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| 357 | zcv = ( 0.5 + SIGN( 0.5 , pbb(ji,jj,jk) ) ) |
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| 358 | pbb(ji,jj,jk) = pbb(ji,jj,jk) * ( zcv * zav + ( 1.e0 - zcv) * zbv ) |
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| 359 | |
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| 360 | ! monotonic flux in the k direction, i.e. pcc |
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| 361 | ! ------------------------------------------- |
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| 362 | za = MIN( 1., zbetdo(ji,jj,jk+1), zbetup(ji,jj,jk) ) |
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| 363 | zb = MIN( 1., zbetup(ji,jj,jk+1), zbetdo(ji,jj,jk) ) |
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| 364 | zc = ( 0.5 + SIGN( 0.5 , pcc(ji,jj,jk+1) ) ) |
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| 365 | pcc(ji,jj,jk+1) = pcc(ji,jj,jk+1) * ( zc * za + ( 1.e0 - zc) * zb ) |
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| 366 | END DO |
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| 367 | END DO |
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| 368 | END DO |
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| 369 | |
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| 370 | CALL crs_lbc_lnk( paa, 'U', -1. ) ; CALL crs_lbc_lnk( pbb, 'V', -1. ) ! lateral boundary condition (changed sign) |
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| 371 | ! |
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| 372 | CALL wrk_dealloc( jpi, jpj, jpk, zbetup, zbetdo, zbup, zbdo ) |
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| 373 | ! |
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| 374 | IF( nn_timing == 1 ) CALL timing_stop('nonosc') |
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| 375 | ! |
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| 376 | END SUBROUTINE nonosc_crs |
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| 377 | |
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| 378 | !!====================================================================== |
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| 379 | END MODULE traadv_tvd_crs |
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