[5770] | 1 | MODULE traadv_mus |
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[503] | 2 | !!====================================================================== |
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[5770] | 3 | !! *** MODULE traadv_mus *** |
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[2528] | 4 | !! Ocean tracers: horizontal & vertical advective trend |
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[503] | 5 | !!====================================================================== |
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[2528] | 6 | !! History : ! 2000-06 (A.Estublier) for passive tracers |
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| 7 | !! ! 2001-08 (E.Durand, G.Madec) adapted for T & S |
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| 8 | !! NEMO 1.0 ! 2002-06 (G. Madec) F90: Free form and module |
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| 9 | !! 3.2 ! 2010-05 (C. Ethe, G. Madec) merge TRC-TRA + switch from velocity to transport |
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[3680] | 10 | !! 3.4 ! 2012-06 (P. Oddo, M. Vichi) include the upstream where needed |
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[5770] | 11 | !! 3.7 ! 2015-09 (G. Madec) add the ice-shelf cavities boundary condition |
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[503] | 12 | !!---------------------------------------------------------------------- |
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[3] | 13 | |
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| 14 | !!---------------------------------------------------------------------- |
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[5770] | 15 | !! tra_adv_mus : update the tracer trend with the horizontal |
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[3] | 16 | !! and vertical advection trends using MUSCL scheme |
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| 17 | !!---------------------------------------------------------------------- |
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[3625] | 18 | USE oce ! ocean dynamics and active tracers |
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[4990] | 19 | USE trc_oce ! share passive tracers/Ocean variables |
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[3625] | 20 | USE dom_oce ! ocean space and time domain |
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[4990] | 21 | USE trd_oce ! trends: ocean variables |
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| 22 | USE trdtra ! tracers trends manager |
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[5147] | 23 | USE sbcrnf ! river runoffs |
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[3625] | 24 | USE diaptr ! poleward transport diagnostics |
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[7646] | 25 | USE diaar5 ! AR5 diagnostics |
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| 26 | |
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[4990] | 27 | ! |
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[9019] | 28 | USE iom ! XIOS library |
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[4990] | 29 | USE in_out_manager ! I/O manager |
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| 30 | USE lib_mpp ! distribued memory computing |
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| 31 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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[9124] | 32 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[3] | 33 | |
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| 34 | IMPLICIT NONE |
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| 35 | PRIVATE |
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| 36 | |
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[5770] | 37 | PUBLIC tra_adv_mus ! routine called by traadv.F90 |
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[4990] | 38 | |
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| 39 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: upsmsk !: mixed upstream/centered scheme near some straits |
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[7646] | 40 | ! ! and in closed seas (orca 2 and 1 configurations) |
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[4990] | 41 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: xind !: mixed upstream/centered index |
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| 42 | |
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[7646] | 43 | LOGICAL :: l_trd ! flag to compute trends |
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| 44 | LOGICAL :: l_ptr ! flag to compute poleward transport |
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| 45 | LOGICAL :: l_hst ! flag to compute heat/salt transport |
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| 46 | |
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[3] | 47 | !! * Substitutions |
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| 48 | # include "vectopt_loop_substitute.h90" |
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| 49 | !!---------------------------------------------------------------------- |
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[9598] | 50 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[1152] | 51 | !! $Id$ |
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[10068] | 52 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[3] | 53 | !!---------------------------------------------------------------------- |
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| 54 | CONTAINS |
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| 55 | |
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[10806] | 56 | SUBROUTINE tra_adv_mus( kt, kit000, ktlev, kt2lev, cdtype, p2dt, pu, pv, pw, & |
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| 57 | & pt, pt_rhs, kjpt, ld_msc_ups ) |
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[3] | 58 | !!---------------------------------------------------------------------- |
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[5770] | 59 | !! *** ROUTINE tra_adv_mus *** |
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[216] | 60 | !! |
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[5770] | 61 | !! ** Purpose : Compute the now trend due to total advection of tracers |
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| 62 | !! using a MUSCL scheme (Monotone Upstream-centered Scheme for |
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| 63 | !! Conservation Laws) and add it to the general tracer trend. |
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[3] | 64 | !! |
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[216] | 65 | !! ** Method : MUSCL scheme plus centered scheme at ocean boundaries |
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[5770] | 66 | !! ld_msc_ups=T : |
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[3] | 67 | !! |
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[10802] | 68 | !! ** Action : - update pt_rhs with the now advective tracer trends |
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[6140] | 69 | !! - send trends to trdtra module for further diagnostcs (l_trdtra=T) |
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| 70 | !! - htr_adv, str_adv : poleward advective heat and salt transport (ln_diaptr=T) |
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[3] | 71 | !! |
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[503] | 72 | !! References : Estubier, A., and M. Levy, Notes Techn. Pole de Modelisation |
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| 73 | !! IPSL, Sept. 2000 (http://www.lodyc.jussieu.fr/opa) |
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| 74 | !!---------------------------------------------------------------------- |
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[2528] | 75 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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[3294] | 76 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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[10806] | 77 | INTEGER , INTENT(in ) :: ktlev ! time level index for 3-time-level source terms |
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| 78 | INTEGER , INTENT(in ) :: kt2lev ! time level index for 2-time-level source terms |
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[2528] | 79 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 80 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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[3718] | 81 | LOGICAL , INTENT(in ) :: ld_msc_ups ! use upstream scheme within muscl |
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[6140] | 82 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
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[10806] | 83 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pu, pv, pw ! 3 ocean velocity components |
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[10802] | 84 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: pt ! before tracer field |
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| 85 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pt_rhs ! tracer trend |
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[2715] | 86 | ! |
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[9019] | 87 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 88 | INTEGER :: ierr ! local integer |
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| 89 | REAL(wp) :: zu, z0u, zzwx, zw , zalpha ! local scalars |
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| 90 | REAL(wp) :: zv, z0v, zzwy, z0w ! - - |
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| 91 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwx, zslpx ! 3D workspace |
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| 92 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwy, zslpy ! - - |
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[3] | 93 | !!---------------------------------------------------------------------- |
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[3294] | 94 | ! |
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| 95 | IF( kt == kit000 ) THEN |
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[2528] | 96 | IF(lwp) WRITE(numout,*) |
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| 97 | IF(lwp) WRITE(numout,*) 'tra_adv : MUSCL advection scheme on ', cdtype |
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[3718] | 98 | IF(lwp) WRITE(numout,*) ' : mixed up-stream ', ld_msc_ups |
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[2528] | 99 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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[3680] | 100 | IF(lwp) WRITE(numout,*) |
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[2528] | 101 | ! |
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[5770] | 102 | ! Upstream / MUSCL scheme indicator |
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[3680] | 103 | ! |
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[5770] | 104 | ALLOCATE( xind(jpi,jpj,jpk), STAT=ierr ) |
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[7753] | 105 | xind(:,:,:) = 1._wp ! set equal to 1 where up-stream is not needed |
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[5770] | 106 | ! |
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| 107 | IF( ld_msc_ups ) THEN ! define the upstream indicator (if asked) |
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| 108 | ALLOCATE( upsmsk(jpi,jpj), STAT=ierr ) |
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[7753] | 109 | upsmsk(:,:) = 0._wp ! not upstream by default |
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[5770] | 110 | ! |
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[4990] | 111 | DO jk = 1, jpkm1 |
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[7753] | 112 | xind(:,:,jk) = 1._wp & ! =>1 where up-stream is not needed |
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| 113 | & - MAX ( rnfmsk(:,:) * rnfmsk_z(jk), & ! =>0 near runoff mouths (& closed sea outflows) |
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| 114 | & upsmsk(:,:) ) * tmask(:,:,jk) ! =>0 in some user defined area |
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[3718] | 115 | END DO |
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[3680] | 116 | ENDIF |
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[3718] | 117 | ! |
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| 118 | ENDIF |
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[4990] | 119 | ! |
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[7646] | 120 | l_trd = .FALSE. |
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| 121 | l_hst = .FALSE. |
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| 122 | l_ptr = .FALSE. |
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| 123 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
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| 124 | IF( cdtype == 'TRA' .AND. ln_diaptr ) l_ptr = .TRUE. |
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| 125 | IF( cdtype == 'TRA' .AND. ( iom_use("uadv_heattr") .OR. iom_use("vadv_heattr") .OR. & |
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| 126 | & iom_use("uadv_salttr") .OR. iom_use("vadv_salttr") ) ) l_hst = .TRUE. |
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| 127 | ! |
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[6140] | 128 | DO jn = 1, kjpt !== loop over the tracers ==! |
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| 129 | ! |
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| 130 | ! !* Horizontal advective fluxes |
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| 131 | ! |
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| 132 | ! !-- first guess of the slopes |
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[7753] | 133 | zwx(:,:,jpk) = 0._wp ! bottom values |
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| 134 | zwy(:,:,jpk) = 0._wp |
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[6140] | 135 | DO jk = 1, jpkm1 ! interior values |
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[2528] | 136 | DO jj = 1, jpjm1 |
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| 137 | DO ji = 1, fs_jpim1 ! vector opt. |
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[10802] | 138 | zwx(ji,jj,jk) = umask(ji,jj,jk) * ( pt(ji+1,jj,jk,jn) - pt(ji,jj,jk,jn) ) |
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| 139 | zwy(ji,jj,jk) = vmask(ji,jj,jk) * ( pt(ji,jj+1,jk,jn) - pt(ji,jj,jk,jn) ) |
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[2528] | 140 | END DO |
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| 141 | END DO |
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[3] | 142 | END DO |
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[9094] | 143 | ! lateral boundary conditions (changed sign) |
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[10425] | 144 | CALL lbc_lnk_multi( 'traadv_mus', zwx, 'U', -1. , zwy, 'V', -1. ) |
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[6140] | 145 | ! !-- Slopes of tracer |
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[7753] | 146 | zslpx(:,:,jpk) = 0._wp ! bottom values |
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| 147 | zslpy(:,:,jpk) = 0._wp |
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[6140] | 148 | DO jk = 1, jpkm1 ! interior values |
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[2528] | 149 | DO jj = 2, jpj |
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| 150 | DO ji = fs_2, jpi ! vector opt. |
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| 151 | zslpx(ji,jj,jk) = ( zwx(ji,jj,jk) + zwx(ji-1,jj ,jk) ) & |
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| 152 | & * ( 0.25 + SIGN( 0.25, zwx(ji,jj,jk) * zwx(ji-1,jj ,jk) ) ) |
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| 153 | zslpy(ji,jj,jk) = ( zwy(ji,jj,jk) + zwy(ji ,jj-1,jk) ) & |
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| 154 | & * ( 0.25 + SIGN( 0.25, zwy(ji,jj,jk) * zwy(ji ,jj-1,jk) ) ) |
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| 155 | END DO |
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[3] | 156 | END DO |
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| 157 | END DO |
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[503] | 158 | ! |
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[6140] | 159 | DO jk = 1, jpkm1 !-- Slopes limitation |
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[2528] | 160 | DO jj = 2, jpj |
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| 161 | DO ji = fs_2, jpi ! vector opt. |
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| 162 | zslpx(ji,jj,jk) = SIGN( 1., zslpx(ji,jj,jk) ) * MIN( ABS( zslpx(ji ,jj,jk) ), & |
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| 163 | & 2.*ABS( zwx (ji-1,jj,jk) ), & |
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| 164 | & 2.*ABS( zwx (ji ,jj,jk) ) ) |
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| 165 | zslpy(ji,jj,jk) = SIGN( 1., zslpy(ji,jj,jk) ) * MIN( ABS( zslpy(ji,jj ,jk) ), & |
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| 166 | & 2.*ABS( zwy (ji,jj-1,jk) ), & |
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| 167 | & 2.*ABS( zwy (ji,jj ,jk) ) ) |
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[503] | 168 | END DO |
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[2528] | 169 | END DO |
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[5770] | 170 | END DO |
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| 171 | ! |
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[6140] | 172 | DO jk = 1, jpkm1 !-- MUSCL horizontal advective fluxes |
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[503] | 173 | DO jj = 2, jpjm1 |
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| 174 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 175 | ! MUSCL fluxes |
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[10802] | 176 | z0u = SIGN( 0.5, pu(ji,jj,jk) ) |
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[2528] | 177 | zalpha = 0.5 - z0u |
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[10802] | 178 | zu = z0u - 0.5 * pu(ji,jj,jk) * p2dt * r1_e1e2u(ji,jj) / e3u(ji,jj,jk,ktlev) |
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| 179 | zzwx = pt(ji+1,jj,jk,jn) + xind(ji,jj,jk) * zu * zslpx(ji+1,jj,jk) |
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| 180 | zzwy = pt(ji ,jj,jk,jn) + xind(ji,jj,jk) * zu * zslpx(ji ,jj,jk) |
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| 181 | zwx(ji,jj,jk) = pu(ji,jj,jk) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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[2528] | 182 | ! |
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[10802] | 183 | z0v = SIGN( 0.5, pv(ji,jj,jk) ) |
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[2528] | 184 | zalpha = 0.5 - z0v |
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[10802] | 185 | zv = z0v - 0.5 * pv(ji,jj,jk) * p2dt * r1_e1e2v(ji,jj) / e3v(ji,jj,jk,ktlev) |
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| 186 | zzwx = pt(ji,jj+1,jk,jn) + xind(ji,jj,jk) * zv * zslpy(ji,jj+1,jk) |
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| 187 | zzwy = pt(ji,jj ,jk,jn) + xind(ji,jj,jk) * zv * zslpy(ji,jj ,jk) |
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| 188 | zwy(ji,jj,jk) = pv(ji,jj,jk) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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[503] | 189 | END DO |
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| 190 | END DO |
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| 191 | END DO |
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[10425] | 192 | CALL lbc_lnk_multi( 'traadv_mus', zwx, 'U', -1. , zwy, 'V', -1. ) ! lateral boundary conditions (changed sign) |
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[503] | 193 | ! |
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[6140] | 194 | DO jk = 1, jpkm1 !-- Tracer advective trend |
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[2528] | 195 | DO jj = 2, jpjm1 |
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| 196 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[10802] | 197 | pt_rhs(ji,jj,jk,jn) = pt_rhs(ji,jj,jk,jn) - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
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[5770] | 198 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) ) & |
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[10802] | 199 | & * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,ktlev) |
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[3] | 200 | END DO |
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[2528] | 201 | END DO |
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| 202 | END DO |
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[6140] | 203 | ! ! trend diagnostics |
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[7646] | 204 | IF( l_trd ) THEN |
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[10802] | 205 | CALL trd_tra( kt, cdtype, jn, jptra_xad, zwx, pu, pt(:,:,:,jn) ) |
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| 206 | CALL trd_tra( kt, cdtype, jn, jptra_yad, zwy, pv, pt(:,:,:,jn) ) |
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[2528] | 207 | END IF |
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[7646] | 208 | ! ! "Poleward" heat and salt transports |
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| 209 | IF( l_ptr ) CALL dia_ptr_hst( jn, 'adv', zwy(:,:,:) ) |
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| 210 | ! ! heat transport |
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| 211 | IF( l_hst ) CALL dia_ar5_hst( jn, 'adv', zwx(:,:,:), zwy(:,:,:) ) |
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[6140] | 212 | ! |
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| 213 | ! !* Vertical advective fluxes |
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| 214 | ! |
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[5770] | 215 | ! !-- first guess of the slopes |
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[7753] | 216 | zwx(:,:, 1 ) = 0._wp ! surface & bottom boundary conditions |
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| 217 | zwx(:,:,jpk) = 0._wp |
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[6140] | 218 | DO jk = 2, jpkm1 ! interior values |
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[10802] | 219 | zwx(:,:,jk) = tmask(:,:,jk) * ( pt(:,:,jk-1,jn) - pt(:,:,jk,jn) ) |
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[3] | 220 | END DO |
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[5770] | 221 | ! !-- Slopes of tracer |
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[7753] | 222 | zslpx(:,:,1) = 0._wp ! surface values |
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[5770] | 223 | DO jk = 2, jpkm1 ! interior value |
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[2528] | 224 | DO jj = 1, jpj |
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| 225 | DO ji = 1, jpi |
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[6140] | 226 | zslpx(ji,jj,jk) = ( zwx(ji,jj,jk) + zwx(ji,jj,jk+1) ) & |
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| 227 | & * ( 0.25 + SIGN( 0.25, zwx(ji,jj,jk) * zwx(ji,jj,jk+1) ) ) |
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[2528] | 228 | END DO |
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[3] | 229 | END DO |
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| 230 | END DO |
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[6140] | 231 | DO jk = 2, jpkm1 !-- Slopes limitation |
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| 232 | DO jj = 1, jpj ! interior values |
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[2528] | 233 | DO ji = 1, jpi |
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| 234 | zslpx(ji,jj,jk) = SIGN( 1., zslpx(ji,jj,jk) ) * MIN( ABS( zslpx(ji,jj,jk ) ), & |
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| 235 | & 2.*ABS( zwx (ji,jj,jk+1) ), & |
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| 236 | & 2.*ABS( zwx (ji,jj,jk ) ) ) |
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| 237 | END DO |
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[3] | 238 | END DO |
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| 239 | END DO |
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[6140] | 240 | DO jk = 1, jpk-2 !-- vertical advective flux |
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[2528] | 241 | DO jj = 2, jpjm1 |
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| 242 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[10806] | 243 | z0w = SIGN( 0.5, pw(ji,jj,jk+1) ) |
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[2528] | 244 | zalpha = 0.5 + z0w |
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[10806] | 245 | zw = z0w - 0.5 * pw(ji,jj,jk+1) * p2dt * r1_e1e2t(ji,jj) / e3w(ji,jj,jk+1,kt2lev) |
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[10802] | 246 | zzwx = pt(ji,jj,jk+1,jn) + xind(ji,jj,jk) * zw * zslpx(ji,jj,jk+1) |
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| 247 | zzwy = pt(ji,jj,jk ,jn) + xind(ji,jj,jk) * zw * zslpx(ji,jj,jk ) |
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[10806] | 248 | zwx(ji,jj,jk+1) = pw(ji,jj,jk+1) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) * wmask(ji,jj,jk) |
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[2528] | 249 | END DO |
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[3] | 250 | END DO |
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| 251 | END DO |
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[6140] | 252 | IF( ln_linssh ) THEN ! top values, linear free surface only |
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| 253 | IF( ln_isfcav ) THEN ! ice-shelf cavities (top of the ocean) |
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[5770] | 254 | DO jj = 1, jpj |
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| 255 | DO ji = 1, jpi |
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[10806] | 256 | zwx(ji,jj, mikt(ji,jj) ) = pw(ji,jj,mikt(ji,jj)) * pt(ji,jj,mikt(ji,jj),jn) |
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[5770] | 257 | END DO |
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| 258 | END DO |
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[6140] | 259 | ELSE ! no cavities: only at the ocean surface |
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[10806] | 260 | zwx(:,:,1) = pw(:,:,1) * pt(:,:,1,jn) |
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[5770] | 261 | ENDIF |
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| 262 | ENDIF |
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| 263 | ! |
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[6140] | 264 | DO jk = 1, jpkm1 !-- vertical advective trend |
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[2528] | 265 | DO jj = 2, jpjm1 |
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[503] | 266 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[10802] | 267 | pt_rhs(ji,jj,jk,jn) = pt_rhs(ji,jj,jk,jn) - ( zwx(ji,jj,jk) - zwx(ji,jj,jk+1) ) * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,ktlev) |
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[503] | 268 | END DO |
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| 269 | END DO |
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| 270 | END DO |
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[6140] | 271 | ! ! send trends for diagnostic |
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[10806] | 272 | IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_zad, zwx, pw, pt(:,:,:,jn) ) |
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[503] | 273 | ! |
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[6140] | 274 | END DO ! end of tracer loop |
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[503] | 275 | ! |
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[5770] | 276 | END SUBROUTINE tra_adv_mus |
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[3] | 277 | |
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| 278 | !!====================================================================== |
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[5770] | 279 | END MODULE traadv_mus |
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