| [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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| [14072] | 12 | !! advection trends using a third order biaised scheme |
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| [503] | 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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| [14072] | 18 | USE traadv_fct ! acces to routine interp_4th_cpt |
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| 19 | USE trdtra ! trends manager: tracers |
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| [4990] | 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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| [14072] | 27 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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| [14834] | 28 | #if defined key_loop_fusion |
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| 29 | USE traadv_ubs_lf ! UBS scheme (tra_adv_ubs routine - loop fusion version) |
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| 30 | #endif |
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| [503] | 31 | |
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| 32 | IMPLICIT NONE |
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| 33 | PRIVATE |
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| 34 | |
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| 35 | PUBLIC tra_adv_ubs ! routine called by traadv module |
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| 36 | |
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| [7646] | 37 | LOGICAL :: l_trd ! flag to compute trends |
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| 38 | LOGICAL :: l_ptr ! flag to compute poleward transport |
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| 39 | LOGICAL :: l_hst ! flag to compute heat transport |
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| [503] | 40 | |
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| [7646] | 41 | |
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| [503] | 42 | !! * Substitutions |
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| [12377] | 43 | # include "do_loop_substitute.h90" |
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| [13237] | 44 | # include "domzgr_substitute.h90" |
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| [503] | 45 | !!---------------------------------------------------------------------- |
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| [9598] | 46 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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| [1152] | 47 | !! $Id$ |
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| [10068] | 48 | !! Software governed by the CeCILL license (see ./LICENSE) |
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| [503] | 49 | !!---------------------------------------------------------------------- |
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| 50 | CONTAINS |
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| 51 | |
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| [12377] | 52 | SUBROUTINE tra_adv_ubs( kt, kit000, cdtype, p2dt, pU, pV, pW, & |
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| 53 | & Kbb, Kmm, pt, kjpt, Krhs, kn_ubs_v ) |
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| [503] | 54 | !!---------------------------------------------------------------------- |
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| 55 | !! *** ROUTINE tra_adv_ubs *** |
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| [14072] | 56 | !! |
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| [503] | 57 | !! ** Purpose : Compute the now trend due to the advection of tracers |
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| 58 | !! and add it to the general trend of passive tracer equations. |
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| 59 | !! |
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| [5836] | 60 | !! ** Method : The 3rd order Upstream Biased Scheme (UBS) is based on an |
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| [3787] | 61 | !! upstream-biased parabolic interpolation (Shchepetkin and McWilliams 2005) |
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| [519] | 62 | !! It is only used in the horizontal direction. |
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| 63 | !! For example the i-component of the advective fluxes are given by : |
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| [3787] | 64 | !! ! e2u e3u un ( mi(Tn) - zltu(i ) ) if un(i) >= 0 |
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| [14072] | 65 | !! ztu = ! or |
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| [3787] | 66 | !! ! e2u e3u un ( mi(Tn) - zltu(i+1) ) if un(i) < 0 |
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| [519] | 67 | !! where zltu is the second derivative of the before temperature field: |
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| 68 | !! zltu = 1/e3t di[ e2u e3u / e1u di[Tb] ] |
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| [14072] | 69 | !! This results in a dissipatively dominant (i.e. hyper-diffusive) |
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| 70 | !! truncation error. The overall performance of the advection scheme |
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| 71 | !! is similar to that reported in (Farrow and Stevens, 1995). |
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| [5836] | 72 | !! For stability reasons, the first term of the fluxes which corresponds |
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| [14072] | 73 | !! to a second order centered scheme is evaluated using the now velocity |
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| 74 | !! (centered in time) while the second term which is the diffusive part |
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| 75 | !! of the scheme, is evaluated using the before velocity (forward in time). |
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| [519] | 76 | !! Note that UBS is not positive. Do not use it on passive tracers. |
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| [5836] | 77 | !! On the vertical, the advection is evaluated using a FCT scheme, |
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| [14072] | 78 | !! as the UBS have been found to be too diffusive. |
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| 79 | !! kn_ubs_v argument controles whether the FCT is based on |
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| 80 | !! a 2nd order centrered scheme (kn_ubs_v=2) or on a 4th order compact |
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| [6140] | 81 | !! scheme (kn_ubs_v=4). |
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| [503] | 82 | !! |
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| [12377] | 83 | !! ** Action : - update pt(:,:,:,:,Krhs) with the now advective tracer trends |
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| [6140] | 84 | !! - send trends to trdtra module for further diagnostcs (l_trdtra=T) |
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| [12377] | 85 | !! - poleward advective heat and salt transport (ln_diaptr=T) |
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| [519] | 86 | !! |
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| [14072] | 87 | !! Reference : Shchepetkin, A. F., J. C. McWilliams, 2005, Ocean Modelling, 9, 347-404. |
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| [13237] | 88 | !! Farrow, D.E., Stevens, D.P., 1995, J. Phys. Ocean. 25, 1731�1741. |
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| [503] | 89 | !!---------------------------------------------------------------------- |
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| [12377] | 90 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 91 | INTEGER , INTENT(in ) :: Kbb, Kmm, Krhs ! ocean time level indices |
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| 92 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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| 93 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 94 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 95 | INTEGER , INTENT(in ) :: kn_ubs_v ! number of tracers |
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| 96 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
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| [14834] | 97 | ! TEMP: [tiling] This can be A2D(nn_hls) after all lbc_lnks removed in the nn_hls = 2 case in tra_adv_fct |
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| [12377] | 98 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pU, pV, pW ! 3 ocean volume transport components |
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| 99 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt,jpt), INTENT(inout) :: pt ! tracers and RHS of tracer equation |
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| [2715] | 100 | ! |
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| 101 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| [6140] | 102 | REAL(wp) :: ztra, zbtr, zcoef ! local scalars |
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| [2715] | 103 | REAL(wp) :: zfp_ui, zfm_ui, zcenut, ztak, zfp_wk, zfm_wk ! - - |
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| 104 | REAL(wp) :: zfp_vj, zfm_vj, zcenvt, zeeu, zeev, z_hdivn ! - - |
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| [13982] | 105 | REAL(wp), DIMENSION(A2D(nn_hls),jpk) :: ztu, ztv, zltu, zltv, zti, ztw ! 3D workspace |
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| [503] | 106 | !!---------------------------------------------------------------------- |
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| [3294] | 107 | ! |
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| [14834] | 108 | #if defined key_loop_fusion |
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| 109 | CALL tra_adv_ubs_lf ( kt, kit000, cdtype, p2dt, pU, pV, pW, Kbb, Kmm, pt, kjpt, Krhs, kn_ubs_v ) |
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| 110 | #else |
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| 111 | IF( .NOT. l_istiled .OR. ntile == 1 ) THEN ! Do only on the first tile |
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| [13982] | 112 | IF( kt == kit000 ) THEN |
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| 113 | IF(lwp) WRITE(numout,*) |
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| 114 | IF(lwp) WRITE(numout,*) 'tra_adv_ubs : horizontal UBS advection scheme on ', cdtype |
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| 115 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~' |
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| 116 | ENDIF |
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| 117 | ! |
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| 118 | l_trd = .FALSE. |
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| 119 | l_hst = .FALSE. |
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| 120 | l_ptr = .FALSE. |
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| 121 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
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| 122 | IF( cdtype == 'TRA' .AND. ( iom_use( 'sophtadv' ) .OR. iom_use( 'sophtadv' ) ) ) l_ptr = .TRUE. |
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| 123 | IF( cdtype == 'TRA' .AND. ( iom_use("uadv_heattr") .OR. iom_use("vadv_heattr") .OR. & |
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| 124 | & iom_use("uadv_salttr") .OR. iom_use("vadv_salttr") ) ) l_hst = .TRUE. |
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| [503] | 125 | ENDIF |
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| [2528] | 126 | ! |
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| [6140] | 127 | ztw (:,:, 1 ) = 0._wp ! surface & bottom value : set to zero for all tracers |
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| 128 | zltu(:,:,jpk) = 0._wp ; zltv(:,:,jpk) = 0._wp |
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| [5836] | 129 | ztw (:,:,jpk) = 0._wp ; zti (:,:,jpk) = 0._wp |
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| [2528] | 130 | ! ! =========== |
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| 131 | DO jn = 1, kjpt ! tracer loop |
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| 132 | ! ! =========== |
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| [14072] | 133 | ! |
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| [13497] | 134 | DO jk = 1, jpkm1 !== horizontal laplacian of before tracer ==! |
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| [13982] | 135 | DO_2D( nn_hls, nn_hls-1, nn_hls, nn_hls-1 ) ! First derivative (masked gradient) |
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| [12377] | 136 | zeeu = e2_e1u(ji,jj) * e3u(ji,jj,jk,Kmm) * umask(ji,jj,jk) |
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| 137 | zeev = e1_e2v(ji,jj) * e3v(ji,jj,jk,Kmm) * vmask(ji,jj,jk) |
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| 138 | ztu(ji,jj,jk) = zeeu * ( pt(ji+1,jj ,jk,jn,Kbb) - pt(ji,jj,jk,jn,Kbb) ) |
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| 139 | ztv(ji,jj,jk) = zeev * ( pt(ji ,jj+1,jk,jn,Kbb) - pt(ji,jj,jk,jn,Kbb) ) |
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| 140 | END_2D |
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| [13982] | 141 | DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) ! Second derivative (divergence) |
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| [12377] | 142 | zcoef = 1._wp / ( 6._wp * e3t(ji,jj,jk,Kmm) ) |
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| 143 | zltu(ji,jj,jk) = ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) ) * zcoef |
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| 144 | zltv(ji,jj,jk) = ( ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) * zcoef |
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| 145 | END_2D |
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| [14072] | 146 | ! |
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| 147 | END DO |
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| [14834] | 148 | IF (nn_hls==1) CALL lbc_lnk( 'traadv_ubs', zltu, 'T', 1.0_wp, zltv, 'T', 1.0_wp, ld4only= .TRUE. ) ! Lateral boundary cond. (unchanged sgn) |
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| [14072] | 149 | ! |
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| [13497] | 150 | DO_3D( 1, 0, 1, 0, 1, jpkm1 ) !== Horizontal advective fluxes ==! (UBS) |
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| 151 | zfp_ui = pU(ji,jj,jk) + ABS( pU(ji,jj,jk) ) ! upstream transport (x2) |
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| [12377] | 152 | zfm_ui = pU(ji,jj,jk) - ABS( pU(ji,jj,jk) ) |
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| 153 | zfp_vj = pV(ji,jj,jk) + ABS( pV(ji,jj,jk) ) |
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| 154 | zfm_vj = pV(ji,jj,jk) - ABS( pV(ji,jj,jk) ) |
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| 155 | ! ! 2nd order centered advective fluxes (x2) |
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| 156 | zcenut = pU(ji,jj,jk) * ( pt(ji,jj,jk,jn,Kmm) + pt(ji+1,jj ,jk,jn,Kmm) ) |
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| 157 | zcenvt = pV(ji,jj,jk) * ( pt(ji,jj,jk,jn,Kmm) + pt(ji ,jj+1,jk,jn,Kmm) ) |
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| 158 | ! ! UBS advective fluxes |
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| 159 | ztu(ji,jj,jk) = 0.5 * ( zcenut - zfp_ui * zltu(ji,jj,jk) - zfm_ui * zltu(ji+1,jj,jk) ) |
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| 160 | ztv(ji,jj,jk) = 0.5 * ( zcenvt - zfp_vj * zltv(ji,jj,jk) - zfm_vj * zltv(ji,jj+1,jk) ) |
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| 161 | END_3D |
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| [5836] | 162 | ! |
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| [14922] | 163 | DO_3D( 0, 0, 0, 0, 1, jpk ) |
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| [13982] | 164 | zltu(ji,jj,jk) = pt(ji,jj,jk,jn,Krhs) ! store the initial trends before its update |
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| 165 | END_3D |
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| [5836] | 166 | ! |
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| 167 | DO jk = 1, jpkm1 !== add the horizontal advective trend ==! |
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| [13295] | 168 | DO_2D( 0, 0, 0, 0 ) |
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| [12377] | 169 | pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) & |
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| 170 | & - ( ztu(ji,jj,jk) - ztu(ji-1,jj ,jk) & |
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| [13237] | 171 | & + ztv(ji,jj,jk) - ztv(ji ,jj-1,jk) ) & |
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| 172 | & * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm) |
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| [12377] | 173 | END_2D |
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| [14072] | 174 | ! |
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| [5836] | 175 | END DO |
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| 176 | ! |
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| [14922] | 177 | DO_3D( 0, 0, 0, 0, 1, jpk ) |
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| [13982] | 178 | zltu(ji,jj,jk) = pt(ji,jj,jk,jn,Krhs) - zltu(ji,jj,jk) ! Horizontal advective trend used in vertical 2nd order FCT case |
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| 179 | END_3D ! and/or in trend diagnostic (l_trd=T) |
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| 180 | ! |
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| [4990] | 181 | IF( l_trd ) THEN ! trend diagnostics |
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| [12377] | 182 | CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_xad, ztu, pU, pt(:,:,:,jn,Kmm) ) |
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| 183 | CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_yad, ztv, pV, pt(:,:,:,jn,Kmm) ) |
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| [2528] | 184 | END IF |
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| [14072] | 185 | ! |
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| [7646] | 186 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
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| 187 | IF( l_ptr ) CALL dia_ptr_hst( jn, 'adv', ztv(:,:,:) ) |
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| 188 | ! ! heati/salt transport |
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| 189 | IF( l_hst ) CALL dia_ar5_hst( jn, 'adv', ztu(:,:,:), ztv(:,:,:) ) |
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| [5836] | 190 | ! |
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| [7646] | 191 | ! |
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| [5836] | 192 | ! !== vertical advective trend ==! |
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| 193 | ! |
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| 194 | SELECT CASE( kn_ubs_v ) ! select the vertical advection scheme |
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| 195 | ! |
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| [14072] | 196 | CASE( 2 ) ! 2nd order FCT |
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| 197 | ! |
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| [13982] | 198 | IF( l_trd ) THEN |
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| 199 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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| 200 | zltv(ji,jj,jk) = pt(ji,jj,jk,jn,Krhs) ! store pt(:,:,:,:,Krhs) if trend diag. |
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| 201 | END_3D |
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| 202 | ENDIF |
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| [5836] | 203 | ! |
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| [13497] | 204 | ! !* upstream advection with initial mass fluxes & intermediate update ==! |
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| [14922] | 205 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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| [12377] | 206 | zfp_wk = pW(ji,jj,jk) + ABS( pW(ji,jj,jk) ) |
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| 207 | zfm_wk = pW(ji,jj,jk) - ABS( pW(ji,jj,jk) ) |
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| 208 | ztw(ji,jj,jk) = 0.5_wp * ( zfp_wk * pt(ji,jj,jk,jn,Kbb) + zfm_wk * pt(ji,jj,jk-1,jn,Kbb) ) * wmask(ji,jj,jk) |
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| 209 | END_3D |
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| [13497] | 210 | IF( ln_linssh ) THEN ! top ocean value (only in linear free surface as ztw has been w-masked) |
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| 211 | IF( ln_isfcav ) THEN ! top of the ice-shelf cavities and at the ocean surface |
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| [14922] | 212 | DO_2D( 0, 0, 0, 0 ) |
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| [14072] | 213 | ztw(ji,jj, mikt(ji,jj) ) = pW(ji,jj,mikt(ji,jj)) * pt(ji,jj,mikt(ji,jj),jn,Kbb) ! linear free surface |
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| [12377] | 214 | END_2D |
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| [13497] | 215 | ELSE ! no cavities: only at the ocean surface |
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| [14922] | 216 | DO_2D( 0, 0, 0, 0 ) |
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| [13982] | 217 | ztw(ji,jj,1) = pW(ji,jj,1) * pt(ji,jj,1,jn,Kbb) |
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| 218 | END_2D |
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| [5836] | 219 | ENDIF |
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| 220 | ENDIF |
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| 221 | ! |
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| [13497] | 222 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) !* trend and after field with monotonic scheme |
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| [13237] | 223 | ztak = - ( ztw(ji,jj,jk) - ztw(ji,jj,jk+1) ) & |
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| 224 | & * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm) |
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| [14072] | 225 | pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) + ztak |
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| [12377] | 226 | zti(ji,jj,jk) = ( pt(ji,jj,jk,jn,Kbb) + p2dt * ( ztak + zltu(ji,jj,jk) ) ) * tmask(ji,jj,jk) |
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| 227 | END_3D |
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| [5836] | 228 | ! |
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| 229 | ! !* anti-diffusive flux : high order minus low order |
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| [14922] | 230 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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| [12377] | 231 | ztw(ji,jj,jk) = ( 0.5_wp * pW(ji,jj,jk) * ( pt(ji,jj,jk,jn,Kmm) + pt(ji,jj,jk-1,jn,Kmm) ) & |
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| 232 | & - ztw(ji,jj,jk) ) * wmask(ji,jj,jk) |
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| 233 | END_3D |
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| [5836] | 234 | ! ! top ocean value: high order == upstream ==>> zwz=0 |
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| [6140] | 235 | IF( ln_linssh ) ztw(:,:, 1 ) = 0._wp ! only ocean surface as interior zwz values have been w-masked |
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| [5836] | 236 | ! |
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| [12377] | 237 | CALL nonosc_z( Kmm, pt(:,:,:,jn,Kbb), ztw, zti, p2dt ) ! monotonicity algorithm |
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| [5836] | 238 | ! |
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| 239 | CASE( 4 ) ! 4th order COMPACT |
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| [12377] | 240 | CALL interp_4th_cpt( pt(:,:,:,jn,Kmm) , ztw ) ! 4th order compact interpolation of T at w-point |
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| [13295] | 241 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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| [12377] | 242 | ztw(ji,jj,jk) = pW(ji,jj,jk) * ztw(ji,jj,jk) * wmask(ji,jj,jk) |
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| 243 | END_3D |
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| [13982] | 244 | IF( ln_linssh ) THEN |
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| [14922] | 245 | DO_2D( 0, 0, 0, 0 ) |
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| [13982] | 246 | ztw(ji,jj,1) = pW(ji,jj,1) * pt(ji,jj,1,jn,Kmm) !!gm ISF & 4th COMPACT doesn't work |
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| 247 | END_2D |
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| 248 | ENDIF |
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| [5836] | 249 | ! |
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| 250 | END SELECT |
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| [2528] | 251 | ! |
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| [13497] | 252 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) ! final trend with corrected fluxes |
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| [13237] | 253 | pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) - ( ztw(ji,jj,jk) - ztw(ji,jj,jk+1) ) & |
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| 254 | & * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm) |
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| [12377] | 255 | END_3D |
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| [5836] | 256 | ! |
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| [13497] | 257 | IF( l_trd ) THEN ! vertical advective trend diagnostics |
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| 258 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) ! (compute -w.dk[ptn]= -dk[w.ptn] + ptn.dk[w]) |
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| [12377] | 259 | zltv(ji,jj,jk) = pt(ji,jj,jk,jn,Krhs) - zltv(ji,jj,jk) & |
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| 260 | & + pt(ji,jj,jk,jn,Kmm) * ( pW(ji,jj,jk) - pW(ji,jj,jk+1) ) & |
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| 261 | & * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm) |
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| 262 | END_3D |
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| 263 | CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_zad, zltv ) |
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| [2528] | 264 | ENDIF |
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| 265 | ! |
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| [4990] | 266 | END DO |
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| [503] | 267 | ! |
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| [14834] | 268 | #endif |
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| [2528] | 269 | END SUBROUTINE tra_adv_ubs |
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| [503] | 270 | |
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| 271 | |
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| [12377] | 272 | SUBROUTINE nonosc_z( Kmm, pbef, pcc, paft, p2dt ) |
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| [503] | 273 | !!--------------------------------------------------------------------- |
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| 274 | !! *** ROUTINE nonosc_z *** |
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| 275 | !! |
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| [14072] | 276 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
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| 277 | !! scheme and the before field by a nonoscillatory algorithm |
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| 278 | !! |
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| [503] | 279 | !! ** Method : ... ??? |
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| 280 | !! warning : pbef and paft must be masked, but the boundaries |
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| 281 | !! conditions on the fluxes are not necessary zalezak (1979) |
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| 282 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
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| 283 | !! in-space based differencing for fluid |
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| 284 | !!---------------------------------------------------------------------- |
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| [13982] | 285 | INTEGER , INTENT(in ) :: Kmm ! time level index |
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| 286 | REAL(wp), INTENT(in ) :: p2dt ! tracer time-step |
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| 287 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: pbef ! before field |
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| 288 | REAL(wp), INTENT(inout), DIMENSION(A2D(nn_hls) ,jpk) :: paft ! after field |
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| 289 | REAL(wp), INTENT(inout), DIMENSION(A2D(nn_hls) ,jpk) :: pcc ! monotonic flux in the k direction |
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| [2715] | 290 | ! |
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| 291 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 292 | INTEGER :: ikm1 ! local integer |
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| [6140] | 293 | REAL(wp) :: zpos, zneg, zbt, za, zb, zc, zbig, zrtrn ! local scalars |
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| [13982] | 294 | REAL(wp), DIMENSION(A2D(nn_hls),jpk) :: zbetup, zbetdo ! 3D workspace |
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| [503] | 295 | !!---------------------------------------------------------------------- |
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| [3294] | 296 | ! |
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| [13226] | 297 | zbig = 1.e+38_wp |
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| [2715] | 298 | zrtrn = 1.e-15_wp |
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| 299 | zbetup(:,:,:) = 0._wp ; zbetdo(:,:,:) = 0._wp |
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| [5836] | 300 | ! |
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| [503] | 301 | ! Search local extrema |
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| 302 | ! -------------------- |
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| [5836] | 303 | ! ! large negative value (-zbig) inside land |
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| [13982] | 304 | DO_3D( 0, 0, 0, 0, 1, jpk ) |
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| 305 | pbef(ji,jj,jk) = pbef(ji,jj,jk) * tmask(ji,jj,jk) - zbig * ( 1.e0 - tmask(ji,jj,jk) ) |
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| 306 | paft(ji,jj,jk) = paft(ji,jj,jk) * tmask(ji,jj,jk) - zbig * ( 1.e0 - tmask(ji,jj,jk) ) |
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| 307 | END_3D |
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| [5836] | 308 | ! |
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| 309 | DO jk = 1, jpkm1 ! search maximum in neighbourhood |
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| [503] | 310 | ikm1 = MAX(jk-1,1) |
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| [13295] | 311 | DO_2D( 0, 0, 0, 0 ) |
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| [12377] | 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_2D |
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| [503] | 316 | END DO |
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| [5836] | 317 | ! ! large positive value (+zbig) inside land |
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| [13982] | 318 | DO_3D( 0, 0, 0, 0, 1, jpk ) |
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| 319 | pbef(ji,jj,jk) = pbef(ji,jj,jk) * tmask(ji,jj,jk) + zbig * ( 1.e0 - tmask(ji,jj,jk) ) |
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| 320 | paft(ji,jj,jk) = paft(ji,jj,jk) * tmask(ji,jj,jk) + zbig * ( 1.e0 - tmask(ji,jj,jk) ) |
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| 321 | END_3D |
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| [5836] | 322 | ! |
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| 323 | DO jk = 1, jpkm1 ! search minimum in neighbourhood |
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| [503] | 324 | ikm1 = MAX(jk-1,1) |
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| [13295] | 325 | DO_2D( 0, 0, 0, 0 ) |
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| [12377] | 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_2D |
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| [503] | 330 | END DO |
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| [5836] | 331 | ! ! restore masked values to zero |
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| [13982] | 332 | DO_3D( 0, 0, 0, 0, 1, jpk ) |
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| 333 | pbef(ji,jj,jk) = pbef(ji,jj,jk) * tmask(ji,jj,jk) |
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| 334 | paft(ji,jj,jk) = paft(ji,jj,jk) * tmask(ji,jj,jk) |
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| 335 | END_3D |
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| [5836] | 336 | ! |
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| 337 | ! Positive and negative part of fluxes and beta terms |
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| 338 | ! --------------------------------------------------- |
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| [13295] | 339 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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| [12377] | 340 | ! positive & negative part of the flux |
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| 341 | zpos = MAX( 0., pcc(ji ,jj ,jk+1) ) - MIN( 0., pcc(ji ,jj ,jk ) ) |
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| 342 | zneg = MAX( 0., pcc(ji ,jj ,jk ) ) - MIN( 0., pcc(ji ,jj ,jk+1) ) |
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| 343 | ! up & down beta terms |
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| 344 | zbt = e1e2t(ji,jj) * e3t(ji,jj,jk,Kmm) / p2dt |
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| 345 | zbetup(ji,jj,jk) = ( zbetup(ji,jj,jk) - paft(ji,jj,jk) ) / (zpos+zrtrn) * zbt |
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| 346 | zbetdo(ji,jj,jk) = ( paft(ji,jj,jk) - zbetdo(ji,jj,jk) ) / (zneg+zrtrn) * zbt |
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| 347 | END_3D |
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| [5836] | 348 | ! |
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| [503] | 349 | ! monotonic flux in the k direction, i.e. pcc |
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| 350 | ! ------------------------------------------- |
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| [13295] | 351 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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| [12377] | 352 | za = MIN( 1., zbetdo(ji,jj,jk), zbetup(ji,jj,jk-1) ) |
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| 353 | zb = MIN( 1., zbetup(ji,jj,jk), zbetdo(ji,jj,jk-1) ) |
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| [13226] | 354 | zc = 0.5 * ( 1.e0 + SIGN( 1.0_wp, pcc(ji,jj,jk) ) ) |
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| [12377] | 355 | pcc(ji,jj,jk) = pcc(ji,jj,jk) * ( zc * za + ( 1.e0 - zc) * zb ) |
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| 356 | END_3D |
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| [503] | 357 | ! |
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| 358 | END SUBROUTINE nonosc_z |
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| 359 | |
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| 360 | !!====================================================================== |
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| 361 | END MODULE traadv_ubs |
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