[503] | 1 | MODULE traadv_ubs |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE traadv_ubs *** |
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| 4 | !! Ocean active tracers: horizontal & vertical advective trend |
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| 5 | !!============================================================================== |
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[2528] | 6 | !! History : 1.0 ! 2006-08 (L. Debreu, R. Benshila) Original code |
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| 7 | !! 3.3 ! 2010-05 (C. Ethe, G. Madec) merge TRC-TRA + switch from velocity to transport |
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[503] | 8 | !!---------------------------------------------------------------------- |
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| 9 | |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! tra_adv_ubs : update the tracer trend with the horizontal |
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| 12 | !! advection trends using a third order biaised scheme |
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| 13 | !!---------------------------------------------------------------------- |
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[3625] | 14 | USE oce ! ocean dynamics and active tracers |
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| 15 | USE dom_oce ! ocean space and time domain |
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[4990] | 16 | USE trc_oce ! share passive tracers/Ocean variables |
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| 17 | USE trd_oce ! trends: ocean variables |
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[5836] | 18 | USE traadv_fct ! acces to routine interp_4th_cpt |
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[4990] | 19 | USE trdtra ! trends manager: tracers |
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| 20 | USE diaptr ! poleward transport diagnostics |
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[7646] | 21 | USE diaar5 ! AR5 diagnostics |
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[4990] | 22 | ! |
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[9019] | 23 | USE iom ! I/O library |
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[9124] | 24 | USE in_out_manager ! I/O manager |
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[9019] | 25 | USE lib_mpp ! massively parallel library |
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[3625] | 26 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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| 27 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[503] | 28 | |
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| 29 | IMPLICIT NONE |
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| 30 | PRIVATE |
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| 31 | |
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| 32 | PUBLIC tra_adv_ubs ! routine called by traadv module |
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| 33 | |
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[7646] | 34 | LOGICAL :: l_trd ! flag to compute trends |
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| 35 | LOGICAL :: l_ptr ! flag to compute poleward transport |
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| 36 | LOGICAL :: l_hst ! flag to compute heat transport |
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[503] | 37 | |
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[7646] | 38 | |
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[503] | 39 | !! * Substitutions |
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| 40 | # include "vectopt_loop_substitute.h90" |
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| 41 | !!---------------------------------------------------------------------- |
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[9598] | 42 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[1152] | 43 | !! $Id$ |
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[10068] | 44 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[503] | 45 | !!---------------------------------------------------------------------- |
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| 46 | CONTAINS |
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| 47 | |
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[10806] | 48 | SUBROUTINE tra_adv_ubs( kt, kit000, ktlev, cdtype, p2dt, pu, pv, pw, & |
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[10802] | 49 | & pt_lev1, pt_lev2, pt_rhs, kjpt, kn_ubs_v ) |
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[503] | 50 | !!---------------------------------------------------------------------- |
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| 51 | !! *** ROUTINE tra_adv_ubs *** |
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| 52 | !! |
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| 53 | !! ** Purpose : Compute the now trend due to the advection of tracers |
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| 54 | !! and add it to the general trend of passive tracer equations. |
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| 55 | !! |
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[5836] | 56 | !! ** Method : The 3rd order Upstream Biased Scheme (UBS) is based on an |
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[3787] | 57 | !! upstream-biased parabolic interpolation (Shchepetkin and McWilliams 2005) |
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[519] | 58 | !! It is only used in the horizontal direction. |
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| 59 | !! For example the i-component of the advective fluxes are given by : |
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[10802] | 60 | !! ! e2u e3u uu ( mi(Tn) - zltu(i ) ,ktlev) if uu(i,ktlev) >= 0 |
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[4990] | 61 | !! ztu = ! or |
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[10802] | 62 | !! ! e2u e3u uu ( mi(Tn) - zltu(i+1) ,ktlev) if uu(i,ktlev) < 0 |
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[519] | 63 | !! where zltu is the second derivative of the before temperature field: |
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| 64 | !! zltu = 1/e3t di[ e2u e3u / e1u di[Tb] ] |
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[5836] | 65 | !! This results in a dissipatively dominant (i.e. hyper-diffusive) |
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[519] | 66 | !! truncation error. The overall performance of the advection scheme |
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| 67 | !! is similar to that reported in (Farrow and Stevens, 1995). |
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[5836] | 68 | !! For stability reasons, the first term of the fluxes which corresponds |
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[519] | 69 | !! to a second order centered scheme is evaluated using the now velocity |
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| 70 | !! (centered in time) while the second term which is the diffusive part |
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| 71 | !! of the scheme, is evaluated using the before velocity (forward in time). |
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| 72 | !! Note that UBS is not positive. Do not use it on passive tracers. |
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[5836] | 73 | !! On the vertical, the advection is evaluated using a FCT scheme, |
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| 74 | !! as the UBS have been found to be too diffusive. |
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[6140] | 75 | !! kn_ubs_v argument controles whether the FCT is based on |
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| 76 | !! a 2nd order centrered scheme (kn_ubs_v=2) or on a 4th order compact |
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| 77 | !! scheme (kn_ubs_v=4). |
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[503] | 78 | !! |
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[10802] | 79 | !! ** Action : - update pt_rhs with the now advective tracer trends |
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[6140] | 80 | !! - send trends to trdtra module for further diagnostcs (l_trdtra=T) |
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| 81 | !! - htr_adv, str_adv : poleward advective heat and salt transport (ln_diaptr=T) |
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[519] | 82 | !! |
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| 83 | !! Reference : Shchepetkin, A. F., J. C. McWilliams, 2005, Ocean Modelling, 9, 347-404. |
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| 84 | !! Farrow, D.E., Stevens, D.P., 1995, J. Phys. Ocean. 25, 1731Ð1741. |
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[503] | 85 | !!---------------------------------------------------------------------- |
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[2528] | 86 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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[3294] | 87 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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[10802] | 88 | INTEGER , INTENT(in ) :: ktlev ! time level index for source terms |
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[2528] | 89 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 90 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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[5836] | 91 | INTEGER , INTENT(in ) :: kn_ubs_v ! number of tracers |
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[6140] | 92 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
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[10806] | 93 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pu, pv, pw ! 3 ocean transport components |
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[10802] | 94 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: pt_lev1, pt_lev2 ! before and now tracer fields |
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| 95 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pt_rhs ! tracer trend |
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[2715] | 96 | ! |
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| 97 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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[6140] | 98 | REAL(wp) :: ztra, zbtr, zcoef ! local scalars |
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[2715] | 99 | REAL(wp) :: zfp_ui, zfm_ui, zcenut, ztak, zfp_wk, zfm_wk ! - - |
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| 100 | REAL(wp) :: zfp_vj, zfm_vj, zcenvt, zeeu, zeev, z_hdivn ! - - |
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[9019] | 101 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: ztu, ztv, zltu, zltv, zti, ztw ! 3D workspace |
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[503] | 102 | !!---------------------------------------------------------------------- |
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[3294] | 103 | ! |
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| 104 | IF( kt == kit000 ) THEN |
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[503] | 105 | IF(lwp) WRITE(numout,*) |
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[2528] | 106 | IF(lwp) WRITE(numout,*) 'tra_adv_ubs : horizontal UBS advection scheme on ', cdtype |
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[503] | 107 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~' |
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| 108 | ENDIF |
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[2528] | 109 | ! |
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[4499] | 110 | l_trd = .FALSE. |
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[7646] | 111 | l_hst = .FALSE. |
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| 112 | l_ptr = .FALSE. |
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| 113 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
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| 114 | IF( cdtype == 'TRA' .AND. ln_diaptr ) l_ptr = .TRUE. |
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| 115 | IF( cdtype == 'TRA' .AND. ( iom_use("uadv_heattr") .OR. iom_use("vadv_heattr") .OR. & |
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| 116 | & iom_use("uadv_salttr") .OR. iom_use("vadv_salttr") ) ) l_hst = .TRUE. |
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[4499] | 117 | ! |
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[6140] | 118 | ztw (:,:, 1 ) = 0._wp ! surface & bottom value : set to zero for all tracers |
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| 119 | zltu(:,:,jpk) = 0._wp ; zltv(:,:,jpk) = 0._wp |
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[5836] | 120 | ztw (:,:,jpk) = 0._wp ; zti (:,:,jpk) = 0._wp |
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| 121 | ! |
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[2528] | 122 | ! ! =========== |
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| 123 | DO jn = 1, kjpt ! tracer loop |
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| 124 | ! ! =========== |
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| 125 | ! |
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[5836] | 126 | DO jk = 1, jpkm1 !== horizontal laplacian of before tracer ==! |
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| 127 | DO jj = 1, jpjm1 ! First derivative (masked gradient) |
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[2528] | 128 | DO ji = 1, fs_jpim1 ! vector opt. |
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[10802] | 129 | zeeu = e2_e1u(ji,jj) * e3u(ji,jj,jk,ktlev) * umask(ji,jj,jk) |
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| 130 | zeev = e1_e2v(ji,jj) * e3v(ji,jj,jk,ktlev) * vmask(ji,jj,jk) |
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| 131 | ztu(ji,jj,jk) = zeeu * ( pt_lev1(ji+1,jj ,jk,jn) - pt_lev1(ji,jj,jk,jn) ) |
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| 132 | ztv(ji,jj,jk) = zeev * ( pt_lev1(ji ,jj+1,jk,jn) - pt_lev1(ji,jj,jk,jn) ) |
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[2528] | 133 | END DO |
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[503] | 134 | END DO |
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[5836] | 135 | DO jj = 2, jpjm1 ! Second derivative (divergence) |
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[2528] | 136 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[10802] | 137 | zcoef = 1._wp / ( 6._wp * e3t(ji,jj,jk,ktlev) ) |
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[2528] | 138 | zltu(ji,jj,jk) = ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) ) * zcoef |
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| 139 | zltv(ji,jj,jk) = ( ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) * zcoef |
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| 140 | END DO |
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[503] | 141 | END DO |
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[2528] | 142 | ! |
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[5836] | 143 | END DO |
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[10425] | 144 | CALL lbc_lnk( 'traadv_ubs', zltu, 'T', 1. ) ; CALL lbc_lnk( 'traadv_ubs', zltv, 'T', 1. ) ! Lateral boundary cond. (unchanged sgn) |
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[2528] | 145 | ! |
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[5836] | 146 | DO jk = 1, jpkm1 !== Horizontal advective fluxes ==! (UBS) |
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[2528] | 147 | DO jj = 1, jpjm1 |
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| 148 | DO ji = 1, fs_jpim1 ! vector opt. |
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[10802] | 149 | zfp_ui = pu(ji,jj,jk) + ABS( pu(ji,jj,jk) ) ! upstream transport (x2) |
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| 150 | zfm_ui = pu(ji,jj,jk) - ABS( pu(ji,jj,jk) ) |
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| 151 | zfp_vj = pv(ji,jj,jk) + ABS( pv(ji,jj,jk) ) |
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| 152 | zfm_vj = pv(ji,jj,jk) - ABS( pv(ji,jj,jk) ) |
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[5836] | 153 | ! ! 2nd order centered advective fluxes (x2) |
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[10802] | 154 | zcenut = pu(ji,jj,jk) * ( pt_lev2(ji,jj,jk,jn) + pt_lev2(ji+1,jj ,jk,jn) ) |
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| 155 | zcenvt = pv(ji,jj,jk) * ( pt_lev2(ji,jj,jk,jn) + pt_lev2(ji ,jj+1,jk,jn) ) |
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[5836] | 156 | ! ! UBS advective fluxes |
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[4990] | 157 | ztu(ji,jj,jk) = 0.5 * ( zcenut - zfp_ui * zltu(ji,jj,jk) - zfm_ui * zltu(ji+1,jj,jk) ) |
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| 158 | ztv(ji,jj,jk) = 0.5 * ( zcenvt - zfp_vj * zltv(ji,jj,jk) - zfm_vj * zltv(ji,jj+1,jk) ) |
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[2528] | 159 | END DO |
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[503] | 160 | END DO |
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[5836] | 161 | END DO |
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| 162 | ! |
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[10802] | 163 | zltu(:,:,:) = pt_rhs(:,:,:,jn) ! store the initial trends before its update |
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[5836] | 164 | ! |
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| 165 | DO jk = 1, jpkm1 !== add the horizontal advective trend ==! |
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[503] | 166 | DO jj = 2, jpjm1 |
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| 167 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[10802] | 168 | pt_rhs(ji,jj,jk,jn) = pt_rhs(ji,jj,jk,jn) & |
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[4990] | 169 | & - ( ztu(ji,jj,jk) - ztu(ji-1,jj ,jk) & |
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[10802] | 170 | & + ztv(ji,jj,jk) - ztv(ji ,jj-1,jk) ) * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,ktlev) |
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[503] | 171 | END DO |
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| 172 | END DO |
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[2528] | 173 | ! |
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[5836] | 174 | END DO |
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| 175 | ! |
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[10802] | 176 | zltu(:,:,:) = pt_rhs(:,:,:,jn) - zltu(:,:,:) ! Horizontal advective trend used in vertical 2nd order FCT case |
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[5836] | 177 | ! ! and/or in trend diagnostic (l_trd=T) |
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[4990] | 178 | ! |
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| 179 | IF( l_trd ) THEN ! trend diagnostics |
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[10802] | 180 | CALL trd_tra( kt, cdtype, jn, jptra_xad, ztu, pu, pt_lev2(:,:,:,jn) ) |
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| 181 | CALL trd_tra( kt, cdtype, jn, jptra_yad, ztv, pv, pt_lev2(:,:,:,jn) ) |
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[2528] | 182 | END IF |
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[7646] | 183 | ! |
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| 184 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
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| 185 | IF( l_ptr ) CALL dia_ptr_hst( jn, 'adv', ztv(:,:,:) ) |
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| 186 | ! ! heati/salt transport |
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| 187 | IF( l_hst ) CALL dia_ar5_hst( jn, 'adv', ztu(:,:,:), ztv(:,:,:) ) |
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[5836] | 188 | ! |
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[7646] | 189 | ! |
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[5836] | 190 | ! !== vertical advective trend ==! |
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| 191 | ! |
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| 192 | SELECT CASE( kn_ubs_v ) ! select the vertical advection scheme |
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| 193 | ! |
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| 194 | CASE( 2 ) ! 2nd order FCT |
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| 195 | ! |
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[10802] | 196 | IF( l_trd ) zltv(:,:,:) = pt_rhs(:,:,:,jn) ! store pt_rhs if trend diag. |
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[5836] | 197 | ! |
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| 198 | ! !* upstream advection with initial mass fluxes & intermediate update ==! |
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| 199 | DO jk = 2, jpkm1 ! Interior value (w-masked) |
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| 200 | DO jj = 1, jpj |
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| 201 | DO ji = 1, jpi |
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[10806] | 202 | zfp_wk = pw(ji,jj,jk) + ABS( pw(ji,jj,jk) ) |
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| 203 | zfm_wk = pw(ji,jj,jk) - ABS( pw(ji,jj,jk) ) |
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[10802] | 204 | ztw(ji,jj,jk) = 0.5_wp * ( zfp_wk * pt_lev1(ji,jj,jk,jn) + zfm_wk * pt_lev1(ji,jj,jk-1,jn) ) * wmask(ji,jj,jk) |
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[5836] | 205 | END DO |
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[2528] | 206 | END DO |
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[5836] | 207 | END DO |
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[6140] | 208 | IF( ln_linssh ) THEN ! top ocean value (only in linear free surface as ztw has been w-masked) |
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[5836] | 209 | IF( ln_isfcav ) THEN ! top of the ice-shelf cavities and at the ocean surface |
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| 210 | DO jj = 1, jpj |
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| 211 | DO ji = 1, jpi |
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[10806] | 212 | ztw(ji,jj, mikt(ji,jj) ) = pw(ji,jj,mikt(ji,jj)) * pt_lev1(ji,jj,mikt(ji,jj),jn) ! linear free surface |
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[5836] | 213 | END DO |
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| 214 | END DO |
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| 215 | ELSE ! no cavities: only at the ocean surface |
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[10806] | 216 | ztw(:,:,1) = pw(:,:,1) * pt_lev1(:,:,1,jn) |
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[5836] | 217 | ENDIF |
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| 218 | ENDIF |
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| 219 | ! |
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| 220 | DO jk = 1, jpkm1 !* trend and after field with monotonic scheme |
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| 221 | DO jj = 2, jpjm1 |
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| 222 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[10802] | 223 | ztak = - ( ztw(ji,jj,jk) - ztw(ji,jj,jk+1) ) * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,ktlev) |
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| 224 | pt_rhs(ji,jj,jk,jn) = pt_rhs(ji,jj,jk,jn) + ztak |
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| 225 | zti(ji,jj,jk) = ( pt_lev1(ji,jj,jk,jn) + p2dt * ( ztak + zltu(ji,jj,jk) ) ) * tmask(ji,jj,jk) |
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[5836] | 226 | END DO |
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| 227 | END DO |
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[2528] | 228 | END DO |
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[10425] | 229 | CALL lbc_lnk( 'traadv_ubs', zti, 'T', 1. ) ! Lateral boundary conditions on zti, zsi (unchanged sign) |
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[5836] | 230 | ! |
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| 231 | ! !* anti-diffusive flux : high order minus low order |
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| 232 | DO jk = 2, jpkm1 ! Interior value (w-masked) |
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| 233 | DO jj = 1, jpj |
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| 234 | DO ji = 1, jpi |
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[10806] | 235 | ztw(ji,jj,jk) = ( 0.5_wp * pw(ji,jj,jk) * ( pt_lev2(ji,jj,jk,jn) + pt_lev2(ji,jj,jk-1,jn) ) & |
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[5836] | 236 | & - ztw(ji,jj,jk) ) * wmask(ji,jj,jk) |
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| 237 | END DO |
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[503] | 238 | END DO |
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| 239 | END DO |
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[5836] | 240 | ! ! top ocean value: high order == upstream ==>> zwz=0 |
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[6140] | 241 | IF( ln_linssh ) ztw(:,:, 1 ) = 0._wp ! only ocean surface as interior zwz values have been w-masked |
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[5836] | 242 | ! |
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[10802] | 243 | CALL nonosc_z( pt_lev1(:,:,:,jn), ztw, zti, p2dt, e3t(:,:,:,ktlev) ) ! monotonicity algorithm |
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[5836] | 244 | ! |
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| 245 | CASE( 4 ) ! 4th order COMPACT |
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[10802] | 246 | CALL interp_4th_cpt( pt_lev2(:,:,:,jn) , ztw ) ! 4th order compact interpolation of T at w-point |
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[5836] | 247 | DO jk = 2, jpkm1 |
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| 248 | DO jj = 2, jpjm1 |
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| 249 | DO ji = fs_2, fs_jpim1 |
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[10806] | 250 | ztw(ji,jj,jk) = pw(ji,jj,jk) * ztw(ji,jj,jk) * wmask(ji,jj,jk) |
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[5836] | 251 | END DO |
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[2528] | 252 | END DO |
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[503] | 253 | END DO |
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[10806] | 254 | IF( ln_linssh ) ztw(:,:, 1 ) = pw(:,:,1) * pt_lev2(:,:,1,jn) !!gm ISF & 4th COMPACT doesn't work |
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[5836] | 255 | ! |
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| 256 | END SELECT |
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[2528] | 257 | ! |
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[5836] | 258 | DO jk = 1, jpkm1 ! final trend with corrected fluxes |
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[2528] | 259 | DO jj = 2, jpjm1 |
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| 260 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[10802] | 261 | pt_rhs(ji,jj,jk,jn) = pt_rhs(ji,jj,jk,jn) - ( ztw(ji,jj,jk) - ztw(ji,jj,jk+1) ) * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,ktlev) |
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[2528] | 262 | END DO |
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[503] | 263 | END DO |
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| 264 | END DO |
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[5836] | 265 | ! |
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| 266 | IF( l_trd ) THEN ! vertical advective trend diagnostics |
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[10802] | 267 | DO jk = 1, jpkm1 ! (compute -w.dk[ptn]= -dk[w.ptn] + pt_lev2.dk[w]) |
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[2528] | 268 | DO jj = 2, jpjm1 |
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| 269 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[10802] | 270 | zltv(ji,jj,jk) = pt_rhs(ji,jj,jk,jn) - zltv(ji,jj,jk) & |
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[10806] | 271 | & + pt_lev2(ji,jj,jk,jn) * ( pw(ji,jj,jk) - pw(ji,jj,jk+1) ) & |
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[10802] | 272 | & * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,ktlev) |
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[2528] | 273 | END DO |
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| 274 | END DO |
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[503] | 275 | END DO |
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[4990] | 276 | CALL trd_tra( kt, cdtype, jn, jptra_zad, zltv ) |
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[2528] | 277 | ENDIF |
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| 278 | ! |
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[4990] | 279 | END DO |
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[503] | 280 | ! |
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[2528] | 281 | END SUBROUTINE tra_adv_ubs |
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[503] | 282 | |
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| 283 | |
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[10802] | 284 | SUBROUTINE nonosc_z( pbef, pcc, paft, p2dt, pe3t ) |
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[503] | 285 | !!--------------------------------------------------------------------- |
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| 286 | !! *** ROUTINE nonosc_z *** |
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| 287 | !! |
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| 288 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
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| 289 | !! scheme and the before field by a nonoscillatory algorithm |
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| 290 | !! |
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| 291 | !! ** Method : ... ??? |
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| 292 | !! warning : pbef and paft must be masked, but the boundaries |
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| 293 | !! conditions on the fluxes are not necessary zalezak (1979) |
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| 294 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
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| 295 | !! in-space based differencing for fluid |
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| 296 | !!---------------------------------------------------------------------- |
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[6140] | 297 | REAL(wp), INTENT(in ) :: p2dt ! tracer time-step |
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[2528] | 298 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: pbef ! before field |
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[10802] | 299 | REAL(wp), INTENT(in ), DIMENSION (jpi,jpj,jpk) :: pe3t ! now cell thickness field |
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[503] | 300 | REAL(wp), INTENT(inout), DIMENSION (jpi,jpj,jpk) :: paft ! after field |
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| 301 | REAL(wp), INTENT(inout), DIMENSION (jpi,jpj,jpk) :: pcc ! monotonic flux in the k direction |
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[2715] | 302 | ! |
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| 303 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 304 | INTEGER :: ikm1 ! local integer |
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[6140] | 305 | REAL(wp) :: zpos, zneg, zbt, za, zb, zc, zbig, zrtrn ! local scalars |
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[9019] | 306 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zbetup, zbetdo ! 3D workspace |
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[503] | 307 | !!---------------------------------------------------------------------- |
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[3294] | 308 | ! |
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[2715] | 309 | zbig = 1.e+40_wp |
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| 310 | zrtrn = 1.e-15_wp |
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| 311 | zbetup(:,:,:) = 0._wp ; zbetdo(:,:,:) = 0._wp |
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[5836] | 312 | ! |
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[503] | 313 | ! Search local extrema |
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| 314 | ! -------------------- |
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[5836] | 315 | ! ! large negative value (-zbig) inside land |
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[503] | 316 | pbef(:,:,:) = pbef(:,:,:) * tmask(:,:,:) - zbig * ( 1.e0 - tmask(:,:,:) ) |
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| 317 | paft(:,:,:) = paft(:,:,:) * tmask(:,:,:) - zbig * ( 1.e0 - tmask(:,:,:) ) |
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[5836] | 318 | ! |
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| 319 | DO jk = 1, jpkm1 ! search maximum in neighbourhood |
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[503] | 320 | ikm1 = MAX(jk-1,1) |
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| 321 | DO jj = 2, jpjm1 |
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| 322 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 323 | zbetup(ji,jj,jk) = MAX( pbef(ji ,jj ,jk ), paft(ji ,jj ,jk ), & |
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| 324 | & pbef(ji ,jj ,ikm1), pbef(ji ,jj ,jk+1), & |
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| 325 | & paft(ji ,jj ,ikm1), paft(ji ,jj ,jk+1) ) |
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| 326 | END DO |
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| 327 | END DO |
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| 328 | END DO |
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[5836] | 329 | ! ! large positive value (+zbig) inside land |
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[503] | 330 | pbef(:,:,:) = pbef(:,:,:) * tmask(:,:,:) + zbig * ( 1.e0 - tmask(:,:,:) ) |
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| 331 | paft(:,:,:) = paft(:,:,:) * tmask(:,:,:) + zbig * ( 1.e0 - tmask(:,:,:) ) |
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[5836] | 332 | ! |
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| 333 | DO jk = 1, jpkm1 ! search minimum in neighbourhood |
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[503] | 334 | ikm1 = MAX(jk-1,1) |
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| 335 | DO jj = 2, jpjm1 |
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| 336 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 337 | zbetdo(ji,jj,jk) = MIN( pbef(ji ,jj ,jk ), paft(ji ,jj ,jk ), & |
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| 338 | & pbef(ji ,jj ,ikm1), pbef(ji ,jj ,jk+1), & |
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| 339 | & paft(ji ,jj ,ikm1), paft(ji ,jj ,jk+1) ) |
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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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[5836] | 343 | ! ! restore masked values to zero |
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[503] | 344 | pbef(:,:,:) = pbef(:,:,:) * tmask(:,:,:) |
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| 345 | paft(:,:,:) = paft(:,:,:) * tmask(:,:,:) |
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[5836] | 346 | ! |
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| 347 | ! Positive and negative part of fluxes and beta terms |
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| 348 | ! --------------------------------------------------- |
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[503] | 349 | DO jk = 1, jpkm1 |
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| 350 | DO jj = 2, jpjm1 |
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| 351 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 352 | ! positive & negative part of the flux |
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| 353 | zpos = MAX( 0., pcc(ji ,jj ,jk+1) ) - MIN( 0., pcc(ji ,jj ,jk ) ) |
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| 354 | zneg = MAX( 0., pcc(ji ,jj ,jk ) ) - MIN( 0., pcc(ji ,jj ,jk+1) ) |
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| 355 | ! up & down beta terms |
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[10802] | 356 | zbt = e1e2t(ji,jj) * pe3t(ji,jj,jk) / p2dt |
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[503] | 357 | zbetup(ji,jj,jk) = ( zbetup(ji,jj,jk) - paft(ji,jj,jk) ) / (zpos+zrtrn) * zbt |
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| 358 | zbetdo(ji,jj,jk) = ( paft(ji,jj,jk) - zbetdo(ji,jj,jk) ) / (zneg+zrtrn) * zbt |
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| 359 | END DO |
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| 360 | END DO |
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| 361 | END DO |
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[5836] | 362 | ! |
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[503] | 363 | ! monotonic flux in the k direction, i.e. pcc |
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| 364 | ! ------------------------------------------- |
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| 365 | DO jk = 2, jpkm1 |
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| 366 | DO jj = 2, jpjm1 |
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| 367 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 368 | za = MIN( 1., zbetdo(ji,jj,jk), zbetup(ji,jj,jk-1) ) |
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| 369 | zb = MIN( 1., zbetup(ji,jj,jk), zbetdo(ji,jj,jk-1) ) |
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| 370 | zc = 0.5 * ( 1.e0 + SIGN( 1.e0, pcc(ji,jj,jk) ) ) |
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| 371 | pcc(ji,jj,jk) = pcc(ji,jj,jk) * ( zc * za + ( 1.e0 - zc) * zb ) |
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| 372 | END DO |
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| 373 | END DO |
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| 374 | END DO |
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| 375 | ! |
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| 376 | END SUBROUTINE nonosc_z |
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| 377 | |
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| 378 | !!====================================================================== |
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| 379 | END MODULE traadv_ubs |
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