[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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[8568] | 28 | USE iom ! XIOS library |
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[3625] | 29 | USE timing ! Timing |
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| 30 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[4990] | 31 | USE in_out_manager ! I/O manager |
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| 32 | USE lib_mpp ! distribued memory computing |
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| 33 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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[3] | 34 | |
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| 35 | IMPLICIT NONE |
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| 36 | PRIVATE |
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| 37 | |
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[5770] | 38 | PUBLIC tra_adv_mus ! routine called by traadv.F90 |
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[4990] | 39 | |
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| 40 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: upsmsk !: mixed upstream/centered scheme near some straits |
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[7646] | 41 | ! ! and in closed seas (orca 2 and 1 configurations) |
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[4990] | 42 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: xind !: mixed upstream/centered index |
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| 43 | |
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[7646] | 44 | LOGICAL :: l_trd ! flag to compute trends |
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| 45 | LOGICAL :: l_ptr ! flag to compute poleward transport |
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| 46 | LOGICAL :: l_hst ! flag to compute heat/salt transport |
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| 47 | |
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[3] | 48 | !! * Substitutions |
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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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[5770] | 57 | SUBROUTINE tra_adv_mus( kt, kit000, cdtype, p2dt, pun, pvn, pwn, & |
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| 58 | & ptb, pta, kjpt, ld_msc_ups ) |
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[3] | 59 | !!---------------------------------------------------------------------- |
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[5770] | 60 | !! *** ROUTINE tra_adv_mus *** |
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[216] | 61 | !! |
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[5770] | 62 | !! ** Purpose : Compute the now trend due to total advection of tracers |
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| 63 | !! using a MUSCL scheme (Monotone Upstream-centered Scheme for |
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| 64 | !! Conservation Laws) and add it to the general tracer trend. |
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[3] | 65 | !! |
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[216] | 66 | !! ** Method : MUSCL scheme plus centered scheme at ocean boundaries |
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[5770] | 67 | !! ld_msc_ups=T : |
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[3] | 68 | !! |
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[6140] | 69 | !! ** Action : - update pta with the now advective tracer trends |
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| 70 | !! - send trends to trdtra module for further diagnostcs (l_trdtra=T) |
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| 71 | !! - htr_adv, str_adv : poleward advective heat and salt transport (ln_diaptr=T) |
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[3] | 72 | !! |
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[503] | 73 | !! References : Estubier, A., and M. Levy, Notes Techn. Pole de Modelisation |
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| 74 | !! IPSL, Sept. 2000 (http://www.lodyc.jussieu.fr/opa) |
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| 75 | !!---------------------------------------------------------------------- |
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[2528] | 76 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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[3294] | 77 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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[2528] | 78 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 79 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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[3718] | 80 | LOGICAL , INTENT(in ) :: ld_msc_ups ! use upstream scheme within muscl |
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[6140] | 81 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
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[2528] | 82 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components |
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| 83 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before tracer field |
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| 84 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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[2715] | 85 | ! |
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[8568] | 86 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 87 | INTEGER :: ierr ! local integer |
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| 88 | REAL(wp) :: zu, z0u, zzwx, zw , zalpha ! local scalars |
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| 89 | REAL(wp) :: zv, z0v, zzwy, z0w ! - - |
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| 90 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwx, zslpx ! 3D workspace |
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| 91 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwy, zslpy ! - - |
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[3] | 92 | !!---------------------------------------------------------------------- |
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[3294] | 93 | ! |
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[8568] | 94 | IF( ln_timing ) CALL timing_start('tra_adv_mus') |
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[3294] | 95 | ! |
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| 96 | IF( kt == kit000 ) THEN |
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[2528] | 97 | IF(lwp) WRITE(numout,*) |
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| 98 | IF(lwp) WRITE(numout,*) 'tra_adv : MUSCL advection scheme on ', cdtype |
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[3718] | 99 | IF(lwp) WRITE(numout,*) ' : mixed up-stream ', ld_msc_ups |
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[2528] | 100 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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[3680] | 101 | IF(lwp) WRITE(numout,*) |
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[2528] | 102 | ! |
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[5770] | 103 | ! Upstream / MUSCL scheme indicator |
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[3680] | 104 | ! |
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[5770] | 105 | ALLOCATE( xind(jpi,jpj,jpk), STAT=ierr ) |
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[7753] | 106 | xind(:,:,:) = 1._wp ! set equal to 1 where up-stream is not needed |
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[5770] | 107 | ! |
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| 108 | IF( ld_msc_ups ) THEN ! define the upstream indicator (if asked) |
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| 109 | ALLOCATE( upsmsk(jpi,jpj), STAT=ierr ) |
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[7753] | 110 | upsmsk(:,:) = 0._wp ! not upstream by default |
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[5770] | 111 | ! |
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[4990] | 112 | DO jk = 1, jpkm1 |
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[7753] | 113 | xind(:,:,jk) = 1._wp & ! =>1 where up-stream is not needed |
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| 114 | & - MAX ( rnfmsk(:,:) * rnfmsk_z(jk), & ! =>0 near runoff mouths (& closed sea outflows) |
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| 115 | & upsmsk(:,:) ) * tmask(:,:,jk) ! =>0 in some user defined area |
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[3718] | 116 | END DO |
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[3680] | 117 | ENDIF |
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[3718] | 118 | ! |
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| 119 | ENDIF |
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[4990] | 120 | ! |
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[7646] | 121 | l_trd = .FALSE. |
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| 122 | l_hst = .FALSE. |
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| 123 | l_ptr = .FALSE. |
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| 124 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
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| 125 | IF( cdtype == 'TRA' .AND. ln_diaptr ) l_ptr = .TRUE. |
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| 126 | IF( cdtype == 'TRA' .AND. ( iom_use("uadv_heattr") .OR. iom_use("vadv_heattr") .OR. & |
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| 127 | & iom_use("uadv_salttr") .OR. iom_use("vadv_salttr") ) ) l_hst = .TRUE. |
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| 128 | ! |
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[6140] | 129 | DO jn = 1, kjpt !== loop over the tracers ==! |
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| 130 | ! |
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| 131 | ! !* Horizontal advective fluxes |
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| 132 | ! |
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| 133 | ! !-- first guess of the slopes |
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[7753] | 134 | zwx(:,:,jpk) = 0._wp ! bottom values |
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| 135 | zwy(:,:,jpk) = 0._wp |
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[6140] | 136 | DO jk = 1, jpkm1 ! interior values |
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[2528] | 137 | DO jj = 1, jpjm1 |
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| 138 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 139 | zwx(ji,jj,jk) = umask(ji,jj,jk) * ( ptb(ji+1,jj,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 140 | zwy(ji,jj,jk) = vmask(ji,jj,jk) * ( ptb(ji,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 141 | END DO |
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| 142 | END DO |
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[3] | 143 | END DO |
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[6140] | 144 | CALL lbc_lnk( zwx, 'U', -1. ) ! lateral boundary conditions (changed sign) |
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[2528] | 145 | CALL lbc_lnk( zwy, 'V', -1. ) |
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[6140] | 146 | ! !-- Slopes of tracer |
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[7753] | 147 | zslpx(:,:,jpk) = 0._wp ! bottom values |
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| 148 | zslpy(:,:,jpk) = 0._wp |
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[6140] | 149 | DO jk = 1, jpkm1 ! interior values |
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[2528] | 150 | DO jj = 2, jpj |
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| 151 | DO ji = fs_2, jpi ! vector opt. |
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| 152 | zslpx(ji,jj,jk) = ( zwx(ji,jj,jk) + zwx(ji-1,jj ,jk) ) & |
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| 153 | & * ( 0.25 + SIGN( 0.25, zwx(ji,jj,jk) * zwx(ji-1,jj ,jk) ) ) |
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| 154 | zslpy(ji,jj,jk) = ( zwy(ji,jj,jk) + zwy(ji ,jj-1,jk) ) & |
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| 155 | & * ( 0.25 + SIGN( 0.25, zwy(ji,jj,jk) * zwy(ji ,jj-1,jk) ) ) |
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| 156 | END DO |
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[3] | 157 | END DO |
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| 158 | END DO |
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[503] | 159 | ! |
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[6140] | 160 | DO jk = 1, jpkm1 !-- Slopes limitation |
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[2528] | 161 | DO jj = 2, jpj |
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| 162 | DO ji = fs_2, jpi ! vector opt. |
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| 163 | zslpx(ji,jj,jk) = SIGN( 1., zslpx(ji,jj,jk) ) * MIN( ABS( zslpx(ji ,jj,jk) ), & |
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| 164 | & 2.*ABS( zwx (ji-1,jj,jk) ), & |
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| 165 | & 2.*ABS( zwx (ji ,jj,jk) ) ) |
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| 166 | zslpy(ji,jj,jk) = SIGN( 1., zslpy(ji,jj,jk) ) * MIN( ABS( zslpy(ji,jj ,jk) ), & |
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| 167 | & 2.*ABS( zwy (ji,jj-1,jk) ), & |
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| 168 | & 2.*ABS( zwy (ji,jj ,jk) ) ) |
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[503] | 169 | END DO |
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[2528] | 170 | END DO |
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[5770] | 171 | END DO |
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| 172 | ! |
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[6140] | 173 | DO jk = 1, jpkm1 !-- MUSCL horizontal advective fluxes |
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[503] | 174 | DO jj = 2, jpjm1 |
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| 175 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 176 | ! MUSCL fluxes |
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| 177 | z0u = SIGN( 0.5, pun(ji,jj,jk) ) |
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| 178 | zalpha = 0.5 - z0u |
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[6140] | 179 | zu = z0u - 0.5 * pun(ji,jj,jk) * p2dt * r1_e1e2u(ji,jj) / e3u_n(ji,jj,jk) |
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[4990] | 180 | zzwx = ptb(ji+1,jj,jk,jn) + xind(ji,jj,jk) * zu * zslpx(ji+1,jj,jk) |
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| 181 | zzwy = ptb(ji ,jj,jk,jn) + xind(ji,jj,jk) * zu * zslpx(ji ,jj,jk) |
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[2528] | 182 | zwx(ji,jj,jk) = pun(ji,jj,jk) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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| 183 | ! |
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| 184 | z0v = SIGN( 0.5, pvn(ji,jj,jk) ) |
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| 185 | zalpha = 0.5 - z0v |
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[6140] | 186 | zv = z0v - 0.5 * pvn(ji,jj,jk) * p2dt * r1_e1e2v(ji,jj) / e3v_n(ji,jj,jk) |
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[4990] | 187 | zzwx = ptb(ji,jj+1,jk,jn) + xind(ji,jj,jk) * zv * zslpy(ji,jj+1,jk) |
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| 188 | zzwy = ptb(ji,jj ,jk,jn) + xind(ji,jj,jk) * zv * zslpy(ji,jj ,jk) |
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[2528] | 189 | zwy(ji,jj,jk) = pvn(ji,jj,jk) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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[503] | 190 | END DO |
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| 191 | END DO |
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| 192 | END DO |
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[5770] | 193 | CALL lbc_lnk( zwx, 'U', -1. ) ; CALL lbc_lnk( zwy, 'V', -1. ) ! lateral boundary conditions (changed sign) |
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[503] | 194 | ! |
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[6140] | 195 | DO jk = 1, jpkm1 !-- Tracer advective trend |
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[2528] | 196 | DO jj = 2, jpjm1 |
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| 197 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[5770] | 198 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
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| 199 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) ) & |
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[6140] | 200 | & * r1_e1e2t(ji,jj) / e3t_n(ji,jj,jk) |
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[3] | 201 | END DO |
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[2528] | 202 | END DO |
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| 203 | END DO |
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[6140] | 204 | ! ! trend diagnostics |
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[7646] | 205 | IF( l_trd ) THEN |
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[4990] | 206 | CALL trd_tra( kt, cdtype, jn, jptra_xad, zwx, pun, ptb(:,:,:,jn) ) |
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| 207 | CALL trd_tra( kt, cdtype, jn, jptra_yad, zwy, pvn, ptb(:,:,:,jn) ) |
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[2528] | 208 | END IF |
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[7646] | 209 | ! ! "Poleward" heat and salt transports |
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| 210 | IF( l_ptr ) CALL dia_ptr_hst( jn, 'adv', zwy(:,:,:) ) |
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| 211 | ! ! heat transport |
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| 212 | IF( l_hst ) CALL dia_ar5_hst( jn, 'adv', zwx(:,:,:), zwy(:,:,:) ) |
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[6140] | 213 | ! |
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| 214 | ! !* Vertical advective fluxes |
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| 215 | ! |
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[5770] | 216 | ! !-- first guess of the slopes |
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[7753] | 217 | zwx(:,:, 1 ) = 0._wp ! surface & bottom boundary conditions |
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| 218 | zwx(:,:,jpk) = 0._wp |
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[6140] | 219 | DO jk = 2, jpkm1 ! interior values |
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[7753] | 220 | zwx(:,:,jk) = tmask(:,:,jk) * ( ptb(:,:,jk-1,jn) - ptb(:,:,jk,jn) ) |
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[3] | 221 | END DO |
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[5770] | 222 | ! !-- Slopes of tracer |
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[7753] | 223 | zslpx(:,:,1) = 0._wp ! surface values |
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[5770] | 224 | DO jk = 2, jpkm1 ! interior value |
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[2528] | 225 | DO jj = 1, jpj |
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| 226 | DO ji = 1, jpi |
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[6140] | 227 | zslpx(ji,jj,jk) = ( zwx(ji,jj,jk) + zwx(ji,jj,jk+1) ) & |
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| 228 | & * ( 0.25 + SIGN( 0.25, zwx(ji,jj,jk) * zwx(ji,jj,jk+1) ) ) |
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[2528] | 229 | END DO |
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[3] | 230 | END DO |
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| 231 | END DO |
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[6140] | 232 | DO jk = 2, jpkm1 !-- Slopes limitation |
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| 233 | DO jj = 1, jpj ! interior values |
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[2528] | 234 | DO ji = 1, jpi |
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| 235 | zslpx(ji,jj,jk) = SIGN( 1., zslpx(ji,jj,jk) ) * MIN( ABS( zslpx(ji,jj,jk ) ), & |
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| 236 | & 2.*ABS( zwx (ji,jj,jk+1) ), & |
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| 237 | & 2.*ABS( zwx (ji,jj,jk ) ) ) |
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| 238 | END DO |
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[3] | 239 | END DO |
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| 240 | END DO |
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[6140] | 241 | DO jk = 1, jpk-2 !-- vertical advective flux |
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[2528] | 242 | DO jj = 2, jpjm1 |
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| 243 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 244 | z0w = SIGN( 0.5, pwn(ji,jj,jk+1) ) |
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| 245 | zalpha = 0.5 + z0w |
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[6140] | 246 | zw = z0w - 0.5 * pwn(ji,jj,jk+1) * p2dt * r1_e1e2t(ji,jj) / e3w_n(ji,jj,jk+1) |
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[4990] | 247 | zzwx = ptb(ji,jj,jk+1,jn) + xind(ji,jj,jk) * zw * zslpx(ji,jj,jk+1) |
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| 248 | zzwy = ptb(ji,jj,jk ,jn) + xind(ji,jj,jk) * zw * zslpx(ji,jj,jk ) |
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[5770] | 249 | zwx(ji,jj,jk+1) = pwn(ji,jj,jk+1) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) * wmask(ji,jj,jk) |
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[2528] | 250 | END DO |
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[3] | 251 | END DO |
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| 252 | END DO |
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[6140] | 253 | IF( ln_linssh ) THEN ! top values, linear free surface only |
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| 254 | IF( ln_isfcav ) THEN ! ice-shelf cavities (top of the ocean) |
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[5770] | 255 | DO jj = 1, jpj |
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| 256 | DO ji = 1, jpi |
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| 257 | zwx(ji,jj, mikt(ji,jj) ) = pwn(ji,jj,mikt(ji,jj)) * ptb(ji,jj,mikt(ji,jj),jn) |
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| 258 | END DO |
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| 259 | END DO |
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[6140] | 260 | ELSE ! no cavities: only at the ocean surface |
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[7753] | 261 | zwx(:,:,1) = pwn(:,:,1) * ptb(:,:,1,jn) |
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[5770] | 262 | ENDIF |
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| 263 | ENDIF |
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| 264 | ! |
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[6140] | 265 | DO jk = 1, jpkm1 !-- vertical advective trend |
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[2528] | 266 | DO jj = 2, jpjm1 |
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[503] | 267 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[6140] | 268 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) - ( zwx(ji,jj,jk) - zwx(ji,jj,jk+1) ) * r1_e1e2t(ji,jj) / e3t_n(ji,jj,jk) |
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[503] | 269 | END DO |
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| 270 | END DO |
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| 271 | END DO |
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[6140] | 272 | ! ! send trends for diagnostic |
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[7646] | 273 | IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_zad, zwx, pwn, ptb(:,:,:,jn) ) |
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[503] | 274 | ! |
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[6140] | 275 | END DO ! end of tracer loop |
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[503] | 276 | ! |
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[8568] | 277 | IF( ln_timing ) CALL timing_stop('tra_adv_mus') |
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[2715] | 278 | ! |
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[5770] | 279 | END SUBROUTINE tra_adv_mus |
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[3] | 280 | |
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| 281 | !!====================================================================== |
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[5770] | 282 | END MODULE traadv_mus |
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