| [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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| 18 | USE trdtra ! trends manager: tracers |
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| 19 | USE dynspg_oce ! choice/control of key cpp for surface pressure gradient |
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| 20 | USE diaptr ! poleward transport diagnostics |
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| 21 | ! |
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| 22 | USE lib_mpp ! I/O library |
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| [3625] | 23 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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| 24 | USE in_out_manager ! I/O manager |
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| 25 | USE wrk_nemo ! Memory Allocation |
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| 26 | USE timing ! Timing |
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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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| [2528] | 34 | LOGICAL :: l_trd ! flag to compute trends or not |
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| [503] | 35 | |
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| 36 | !! * Substitutions |
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| 37 | # include "domzgr_substitute.h90" |
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| 38 | # include "vectopt_loop_substitute.h90" |
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| 39 | !!---------------------------------------------------------------------- |
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| [2528] | 40 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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| [1152] | 41 | !! $Id$ |
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| [2528] | 42 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| [503] | 43 | !!---------------------------------------------------------------------- |
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| 44 | CONTAINS |
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| 45 | |
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| [3294] | 46 | SUBROUTINE tra_adv_ubs ( kt, kit000, cdtype, p2dt, pun, pvn, pwn, & |
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| [2528] | 47 | & ptb, ptn, pta, kjpt ) |
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| [503] | 48 | !!---------------------------------------------------------------------- |
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| 49 | !! *** ROUTINE tra_adv_ubs *** |
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| 50 | !! |
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| 51 | !! ** Purpose : Compute the now trend due to the advection of tracers |
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| 52 | !! and add it to the general trend of passive tracer equations. |
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| 53 | !! |
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| [4990] | 54 | !! ** Method : The upstream biased scheme (UBS) is based on a 3rd order |
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| [3787] | 55 | !! upstream-biased parabolic interpolation (Shchepetkin and McWilliams 2005) |
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| [519] | 56 | !! It is only used in the horizontal direction. |
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| 57 | !! For example the i-component of the advective fluxes are given by : |
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| [3787] | 58 | !! ! e2u e3u un ( mi(Tn) - zltu(i ) ) if un(i) >= 0 |
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| [4990] | 59 | !! ztu = ! or |
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| [3787] | 60 | !! ! e2u e3u un ( mi(Tn) - zltu(i+1) ) if un(i) < 0 |
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| [519] | 61 | !! where zltu is the second derivative of the before temperature field: |
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| 62 | !! zltu = 1/e3t di[ e2u e3u / e1u di[Tb] ] |
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| 63 | !! This results in a dissipatively dominant (i.e. hyper-diffusive) |
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| 64 | !! truncation error. The overall performance of the advection scheme |
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| 65 | !! is similar to that reported in (Farrow and Stevens, 1995). |
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| 66 | !! For stability reasons, the first term of the fluxes which corresponds |
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| 67 | !! to a second order centered scheme is evaluated using the now velocity |
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| 68 | !! (centered in time) while the second term which is the diffusive part |
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| 69 | !! of the scheme, is evaluated using the before velocity (forward in time). |
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| 70 | !! Note that UBS is not positive. Do not use it on passive tracers. |
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| [3787] | 71 | !! On the vertical, the advection is evaluated using a TVD scheme, |
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| 72 | !! as the UBS have been found to be too diffusive. |
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| [503] | 73 | !! |
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| [2528] | 74 | !! ** Action : - update (pta) with the now advective tracer trends |
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| [519] | 75 | !! |
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| 76 | !! Reference : Shchepetkin, A. F., J. C. McWilliams, 2005, Ocean Modelling, 9, 347-404. |
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| 77 | !! Farrow, D.E., Stevens, D.P., 1995, J. Phys. Ocean. 25, 1731Ð1741. |
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| [503] | 78 | !!---------------------------------------------------------------------- |
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| [2528] | 79 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| [3294] | 80 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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| [2528] | 81 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 82 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 83 | REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step |
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| [3787] | 84 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean transport components |
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| [2528] | 85 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields |
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| 86 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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| [2715] | 87 | ! |
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| 88 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 89 | REAL(wp) :: ztra, zbtr, zcoef, z2dtt ! local scalars |
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| 90 | REAL(wp) :: zfp_ui, zfm_ui, zcenut, ztak, zfp_wk, zfm_wk ! - - |
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| 91 | REAL(wp) :: zfp_vj, zfm_vj, zcenvt, zeeu, zeev, z_hdivn ! - - |
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| [3294] | 92 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ztu, ztv, zltu, zltv, zti, ztw |
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| [503] | 93 | !!---------------------------------------------------------------------- |
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| [3294] | 94 | ! |
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| 95 | IF( nn_timing == 1 ) CALL timing_start('tra_adv_ubs') |
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| 96 | ! |
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| 97 | CALL wrk_alloc( jpi, jpj, jpk, ztu, ztv, zltu, zltv, zti, ztw ) |
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| 98 | ! |
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| 99 | IF( kt == kit000 ) THEN |
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| [503] | 100 | IF(lwp) WRITE(numout,*) |
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| [2528] | 101 | IF(lwp) WRITE(numout,*) 'tra_adv_ubs : horizontal UBS advection scheme on ', cdtype |
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| [503] | 102 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~' |
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| 103 | ENDIF |
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| [2528] | 104 | ! |
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| [4499] | 105 | l_trd = .FALSE. |
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| 106 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
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| 107 | ! |
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| [2528] | 108 | ! ! =========== |
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| 109 | DO jn = 1, kjpt ! tracer loop |
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| 110 | ! ! =========== |
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| 111 | ! 1. Bottom value : flux set to zero |
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| 112 | ! ---------------------------------- |
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| 113 | zltu(:,:,jpk) = 0.e0 ; zltv(:,:,jpk) = 0.e0 |
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| 114 | ! |
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| 115 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 116 | ! |
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| 117 | ! Laplacian |
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| 118 | DO jj = 1, jpjm1 ! First derivative (gradient) |
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| 119 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 120 | zeeu = e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) * umask(ji,jj,jk) |
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| 121 | zeev = e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) * vmask(ji,jj,jk) |
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| 122 | ztu(ji,jj,jk) = zeeu * ( ptb(ji+1,jj ,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 123 | ztv(ji,jj,jk) = zeev * ( ptb(ji ,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 124 | END DO |
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| [503] | 125 | END DO |
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| [2528] | 126 | DO jj = 2, jpjm1 ! Second derivative (divergence) |
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| 127 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 128 | zcoef = 1. / ( 6. * fse3t(ji,jj,jk) ) |
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| 129 | zltu(ji,jj,jk) = ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) ) * zcoef |
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| 130 | zltv(ji,jj,jk) = ( ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) * zcoef |
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| 131 | END DO |
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| [503] | 132 | END DO |
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| [2528] | 133 | ! |
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| 134 | END DO ! End of slab |
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| 135 | CALL lbc_lnk( zltu, 'T', 1. ) ; CALL lbc_lnk( zltv, 'T', 1. ) ! Lateral boundary cond. (unchanged sgn) |
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| [503] | 136 | |
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| [2528] | 137 | ! |
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| 138 | ! Horizontal advective fluxes |
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| 139 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 140 | DO jj = 1, jpjm1 |
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| 141 | DO ji = 1, fs_jpim1 ! vector opt. |
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| [3787] | 142 | ! upstream transport (x2) |
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| [2528] | 143 | zfp_ui = pun(ji,jj,jk) + ABS( pun(ji,jj,jk) ) |
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| 144 | zfm_ui = pun(ji,jj,jk) - ABS( pun(ji,jj,jk) ) |
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| 145 | zfp_vj = pvn(ji,jj,jk) + ABS( pvn(ji,jj,jk) ) |
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| 146 | zfm_vj = pvn(ji,jj,jk) - ABS( pvn(ji,jj,jk) ) |
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| [3787] | 147 | ! 2nd order centered advective fluxes (x2) |
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| 148 | zcenut = pun(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji+1,jj ,jk,jn) ) |
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| 149 | zcenvt = pvn(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji ,jj+1,jk,jn) ) |
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| 150 | ! UBS advective fluxes |
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| [4990] | 151 | ztu(ji,jj,jk) = 0.5 * ( zcenut - zfp_ui * zltu(ji,jj,jk) - zfm_ui * zltu(ji+1,jj,jk) ) |
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| 152 | 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] | 153 | END DO |
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| [503] | 154 | END DO |
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| [2528] | 155 | END DO ! End of slab |
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| [503] | 156 | |
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| [2528] | 157 | zltu(:,:,:) = pta(:,:,:,jn) ! store pta trends |
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| [503] | 158 | |
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| [4990] | 159 | DO jk = 1, jpkm1 ! Horizontal advective trends |
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| [503] | 160 | DO jj = 2, jpjm1 |
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| 161 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| [4990] | 162 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) & |
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| 163 | & - ( ztu(ji,jj,jk) - ztu(ji-1,jj ,jk) & |
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| 164 | & + ztv(ji,jj,jk) - ztv(ji ,jj-1,jk) ) / ( e1e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| [503] | 165 | END DO |
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| 166 | END DO |
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| [2528] | 167 | ! |
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| 168 | END DO ! End of slab |
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| [503] | 169 | |
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| [2528] | 170 | ! Horizontal trend used in tra_adv_ztvd subroutine |
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| 171 | zltu(:,:,:) = pta(:,:,:,jn) - zltu(:,:,:) |
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| [503] | 172 | |
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| [4990] | 173 | ! |
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| 174 | IF( l_trd ) THEN ! trend diagnostics |
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| 175 | CALL trd_tra( kt, cdtype, jn, jptra_xad, ztu, pun, ptn(:,:,:,jn) ) |
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| 176 | CALL trd_tra( kt, cdtype, jn, jptra_yad, ztv, pvn, ptn(:,:,:,jn) ) |
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| [2528] | 177 | END IF |
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| 178 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
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| [5147] | 179 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
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| 180 | IF( jn == jp_tem ) htr_adv(:) = ptr_sj( ztv(:,:,:) ) |
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| 181 | IF( jn == jp_sal ) str_adv(:) = ptr_sj( ztv(:,:,:) ) |
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| [503] | 182 | ENDIF |
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| [2528] | 183 | |
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| 184 | ! TVD scheme for the vertical direction |
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| 185 | ! ---------------------- |
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| 186 | IF( l_trd ) zltv(:,:,:) = pta(:,:,:,jn) ! store pta if trend diag. |
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| [503] | 187 | |
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| [2528] | 188 | ! Bottom value : flux set to zero |
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| 189 | ztw(:,:,jpk) = 0.e0 ; zti(:,:,jpk) = 0.e0 |
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| [503] | 190 | |
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| [2528] | 191 | ! Surface value |
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| 192 | IF( lk_vvl ) THEN ; ztw(:,:,1) = 0.e0 ! variable volume : flux set to zero |
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| 193 | ELSE ; ztw(:,:,1) = pwn(:,:,1) * ptb(:,:,1,jn) ! free constant surface |
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| 194 | ENDIF |
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| 195 | ! upstream advection with initial mass fluxes & intermediate update |
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| 196 | ! ------------------------------------------------------------------- |
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| 197 | ! Interior value |
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| 198 | DO jk = 2, jpkm1 |
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| 199 | DO jj = 1, jpj |
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| 200 | DO ji = 1, jpi |
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| 201 | zfp_wk = pwn(ji,jj,jk) + ABS( pwn(ji,jj,jk) ) |
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| 202 | zfm_wk = pwn(ji,jj,jk) - ABS( pwn(ji,jj,jk) ) |
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| 203 | ztw(ji,jj,jk) = 0.5 * ( zfp_wk * ptb(ji,jj,jk,jn) + zfm_wk * ptb(ji,jj,jk-1,jn) ) |
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| 204 | END DO |
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| 205 | END DO |
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| 206 | END DO |
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| 207 | ! update and guess with monotonic sheme |
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| [503] | 208 | DO jk = 1, jpkm1 |
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| [2528] | 209 | z2dtt = p2dt(jk) |
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| [503] | 210 | DO jj = 2, jpjm1 |
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| 211 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| [2528] | 212 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 213 | ztak = - ( ztw(ji,jj,jk) - ztw(ji,jj,jk+1) ) * zbtr |
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| 214 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztak |
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| 215 | zti(ji,jj,jk) = ( ptb(ji,jj,jk,jn) + z2dtt * ( ztak + zltu(ji,jj,jk) ) ) * tmask(ji,jj,jk) |
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| [503] | 216 | END DO |
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| 217 | END DO |
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| 218 | END DO |
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| 219 | ! |
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| [2528] | 220 | CALL lbc_lnk( zti, 'T', 1. ) ! Lateral boundary conditions on zti, zsi (unchanged sign) |
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| [503] | 221 | |
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| [2528] | 222 | ! antidiffusive flux : high order minus low order |
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| 223 | ztw(:,:,1) = 0.e0 ! Surface value |
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| 224 | DO jk = 2, jpkm1 ! Interior value |
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| 225 | DO jj = 1, jpj |
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| 226 | DO ji = 1, jpi |
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| 227 | ztw(ji,jj,jk) = 0.5 * pwn(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji,jj,jk-1,jn) ) - ztw(ji,jj,jk) |
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| 228 | END DO |
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| [503] | 229 | END DO |
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| 230 | END DO |
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| [2528] | 231 | ! |
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| 232 | CALL nonosc_z( ptb(:,:,:,jn), ztw, zti, p2dt ) ! monotonicity algorithm |
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| [503] | 233 | |
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| [2528] | 234 | ! final trend with corrected fluxes |
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| 235 | DO jk = 1, jpkm1 |
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| 236 | DO jj = 2, jpjm1 |
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| 237 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 238 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 239 | ! k- vertical advective trends |
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| 240 | ztra = - zbtr * ( ztw(ji,jj,jk) - ztw(ji,jj,jk+1) ) |
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| 241 | ! added to the general tracer trends |
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| 242 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
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| 243 | END DO |
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| [503] | 244 | END DO |
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| 245 | END DO |
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| 246 | |
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| [2528] | 247 | ! Save the final vertical advective trends |
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| 248 | IF( l_trd ) THEN ! vertical advective trend diagnostics |
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| 249 | DO jk = 1, jpkm1 ! (compute -w.dk[ptn]= -dk[w.ptn] + ptn.dk[w]) |
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| 250 | DO jj = 2, jpjm1 |
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| 251 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 252 | zbtr = 1.e0 / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 253 | z_hdivn = ( pwn(ji,jj,jk) - pwn(ji,jj,jk+1) ) * zbtr |
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| 254 | zltv(ji,jj,jk) = pta(ji,jj,jk,jn) - zltv(ji,jj,jk) + ptn(ji,jj,jk,jn) * z_hdivn |
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| 255 | END DO |
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| 256 | END DO |
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| [503] | 257 | END DO |
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| [4990] | 258 | CALL trd_tra( kt, cdtype, jn, jptra_zad, zltv ) |
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| [2528] | 259 | ENDIF |
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| 260 | ! |
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| [4990] | 261 | END DO |
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| [503] | 262 | ! |
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| [3294] | 263 | CALL wrk_dealloc( jpi, jpj, jpk, ztu, ztv, zltu, zltv, zti, ztw ) |
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| [2715] | 264 | ! |
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| [3294] | 265 | IF( nn_timing == 1 ) CALL timing_stop('tra_adv_ubs') |
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| 266 | ! |
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| [2528] | 267 | END SUBROUTINE tra_adv_ubs |
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| [503] | 268 | |
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| 269 | |
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| [2528] | 270 | SUBROUTINE nonosc_z( pbef, pcc, paft, p2dt ) |
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| [503] | 271 | !!--------------------------------------------------------------------- |
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| 272 | !! *** ROUTINE nonosc_z *** |
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| 273 | !! |
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| 274 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
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| 275 | !! scheme and the before field by a nonoscillatory algorithm |
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| 276 | !! |
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| 277 | !! ** Method : ... ??? |
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| 278 | !! warning : pbef and paft must be masked, but the boundaries |
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| 279 | !! conditions on the fluxes are not necessary zalezak (1979) |
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| 280 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
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| 281 | !! in-space based differencing for fluid |
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| 282 | !!---------------------------------------------------------------------- |
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| [2528] | 283 | REAL(wp), INTENT(in ), DIMENSION(jpk) :: p2dt ! vertical profile of tracer time-step |
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| 284 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: pbef ! before field |
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| [503] | 285 | REAL(wp), INTENT(inout), DIMENSION (jpi,jpj,jpk) :: paft ! after field |
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| 286 | REAL(wp), INTENT(inout), DIMENSION (jpi,jpj,jpk) :: pcc ! monotonic flux in the k direction |
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| [2715] | 287 | ! |
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| 288 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 289 | INTEGER :: ikm1 ! local integer |
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| 290 | REAL(wp) :: zpos, zneg, zbt, za, zb, zc, zbig, zrtrn, z2dtt ! local scalars |
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| [3294] | 291 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zbetup, zbetdo |
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| [503] | 292 | !!---------------------------------------------------------------------- |
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| [3294] | 293 | ! |
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| 294 | IF( nn_timing == 1 ) CALL timing_start('nonosc_z') |
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| 295 | ! |
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| 296 | CALL wrk_alloc( jpi, jpj, jpk, zbetup, zbetdo ) |
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| 297 | ! |
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| [2715] | 298 | zbig = 1.e+40_wp |
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| 299 | zrtrn = 1.e-15_wp |
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| 300 | zbetup(:,:,:) = 0._wp ; zbetdo(:,:,:) = 0._wp |
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| 301 | |
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| [503] | 302 | ! Search local extrema |
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| 303 | ! -------------------- |
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| 304 | ! large negative value (-zbig) inside land |
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| 305 | pbef(:,:,:) = pbef(:,:,:) * tmask(:,:,:) - zbig * ( 1.e0 - tmask(:,:,:) ) |
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| 306 | paft(:,:,:) = paft(:,:,:) * tmask(:,:,:) - zbig * ( 1.e0 - tmask(:,:,:) ) |
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| 307 | ! search maximum in neighbourhood |
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| 308 | DO jk = 1, jpkm1 |
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| 309 | ikm1 = MAX(jk-1,1) |
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| 310 | DO jj = 2, jpjm1 |
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| 311 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 312 | zbetup(ji,jj,jk) = MAX( pbef(ji ,jj ,jk ), paft(ji ,jj ,jk ), & |
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| 313 | & pbef(ji ,jj ,ikm1), pbef(ji ,jj ,jk+1), & |
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| 314 | & paft(ji ,jj ,ikm1), paft(ji ,jj ,jk+1) ) |
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| 315 | END DO |
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| 316 | END DO |
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| 317 | END DO |
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| 318 | ! large positive value (+zbig) inside land |
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| 319 | pbef(:,:,:) = pbef(:,:,:) * tmask(:,:,:) + zbig * ( 1.e0 - tmask(:,:,:) ) |
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| 320 | paft(:,:,:) = paft(:,:,:) * tmask(:,:,:) + zbig * ( 1.e0 - tmask(:,:,:) ) |
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| 321 | ! search minimum in neighbourhood |
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| 322 | DO jk = 1, jpkm1 |
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| 323 | ikm1 = MAX(jk-1,1) |
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| 324 | DO jj = 2, jpjm1 |
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| 325 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 326 | zbetdo(ji,jj,jk) = MIN( pbef(ji ,jj ,jk ), paft(ji ,jj ,jk ), & |
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| 327 | & pbef(ji ,jj ,ikm1), pbef(ji ,jj ,jk+1), & |
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| 328 | & paft(ji ,jj ,ikm1), paft(ji ,jj ,jk+1) ) |
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| 329 | END DO |
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| 330 | END DO |
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| 331 | END DO |
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| 332 | |
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| 333 | ! restore masked values to zero |
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| 334 | pbef(:,:,:) = pbef(:,:,:) * tmask(:,:,:) |
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| 335 | paft(:,:,:) = paft(:,:,:) * tmask(:,:,:) |
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| 336 | |
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| [2528] | 337 | |
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| [503] | 338 | ! 2. Positive and negative part of fluxes and beta terms |
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| 339 | ! ------------------------------------------------------ |
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| 340 | |
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| 341 | DO jk = 1, jpkm1 |
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| [2528] | 342 | z2dtt = p2dt(jk) |
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| [503] | 343 | DO jj = 2, jpjm1 |
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| 344 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 345 | ! positive & negative part of the flux |
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| 346 | zpos = MAX( 0., pcc(ji ,jj ,jk+1) ) - MIN( 0., pcc(ji ,jj ,jk ) ) |
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| 347 | zneg = MAX( 0., pcc(ji ,jj ,jk ) ) - MIN( 0., pcc(ji ,jj ,jk+1) ) |
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| 348 | ! up & down beta terms |
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| 349 | zbt = e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) / z2dtt |
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| 350 | zbetup(ji,jj,jk) = ( zbetup(ji,jj,jk) - paft(ji,jj,jk) ) / (zpos+zrtrn) * zbt |
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| 351 | zbetdo(ji,jj,jk) = ( paft(ji,jj,jk) - zbetdo(ji,jj,jk) ) / (zneg+zrtrn) * zbt |
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| 352 | END DO |
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| 353 | END DO |
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| 354 | END DO |
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| 355 | ! monotonic flux in the k direction, i.e. pcc |
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| 356 | ! ------------------------------------------- |
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| 357 | DO jk = 2, jpkm1 |
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| 358 | DO jj = 2, jpjm1 |
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| 359 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 360 | za = MIN( 1., zbetdo(ji,jj,jk), zbetup(ji,jj,jk-1) ) |
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| 361 | zb = MIN( 1., zbetup(ji,jj,jk), zbetdo(ji,jj,jk-1) ) |
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| 362 | zc = 0.5 * ( 1.e0 + SIGN( 1.e0, pcc(ji,jj,jk) ) ) |
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| 363 | pcc(ji,jj,jk) = pcc(ji,jj,jk) * ( zc * za + ( 1.e0 - zc) * zb ) |
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| 364 | END DO |
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| 365 | END DO |
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| 366 | END DO |
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| 367 | ! |
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| [3294] | 368 | CALL wrk_dealloc( jpi, jpj, jpk, zbetup, zbetdo ) |
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| [2715] | 369 | ! |
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| [3294] | 370 | IF( nn_timing == 1 ) CALL timing_stop('nonosc_z') |
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| 371 | ! |
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| [503] | 372 | END SUBROUTINE nonosc_z |
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| 373 | |
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| 374 | !!====================================================================== |
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| 375 | END MODULE traadv_ubs |
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