[941] | 1 | MODULE trcadv_tvd |
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[1175] | 2 | !!====================================================================== |
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[941] | 3 | !! *** MODULE trcadv_tvd *** |
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| 4 | !! Ocean passive tracers: horizontal & vertical advective trend |
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[1175] | 5 | !!====================================================================== |
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| 6 | !! History : ! 95-12 (L. Mortier) Original code |
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| 7 | !! ! 00-01 (H. Loukos) adapted to ORCA |
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| 8 | !! ! 00-10 (MA Foujols E.Kestenare) include file not routine |
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| 9 | !! ! 00-12 (E. Kestenare M. Levy) fix bug in trtrd indexes |
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| 10 | !! ! 01-07 (E. Durand G. Madec) adaptation to ORCA config |
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| 11 | !! 9.0 ! 02-06 (C. Ethe, G. Madec) F90: Free form and module |
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| 12 | !! ! 07-02 (C. Deltel) Diagnose ML trends for passive tracers |
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| 13 | !!---------------------------------------------------------------------- |
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[941] | 14 | #if defined key_top |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | !! trc_adv_tvd : update the passive tracer trend with the horizontal |
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| 17 | !! and vertical advection trends using a TVD scheme |
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| 18 | !! nonosc : compute monotonic tracer fluxes by a nonoscillatory |
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| 19 | !! algorithm |
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| 20 | !!---------------------------------------------------------------------- |
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| 21 | USE oce_trc ! ocean dynamics and active tracers variables |
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[1175] | 22 | USE trc ! ocean passive tracers variables |
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[1189] | 23 | USE trp_trc |
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[941] | 24 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 25 | USE trcbbl ! advective passive tracers in the BBL |
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| 26 | USE prtctl_trc ! Print control for debbuging |
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[1175] | 27 | USE trdmld_trc |
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| 28 | USE trdmld_trc_oce |
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[941] | 29 | |
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| 30 | IMPLICIT NONE |
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| 31 | PRIVATE |
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| 32 | |
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| 33 | PUBLIC trc_adv_tvd ! routine called by trcstp.F90 |
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| 34 | |
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| 35 | !! * Substitutions |
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| 36 | # include "top_substitute.h90" |
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| 37 | !!---------------------------------------------------------------------- |
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| 38 | !! TOP 1.0 , LOCEAN-IPSL (2005) |
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[1175] | 39 | !! $Header: /home/opalod/NEMOCVSROOT/NEMO/TOP_SRC/TRP/trcadv_tvd.F90,v 1.12 2006/04/10 15:38:54 opalod Exp $ |
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| 40 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[941] | 41 | !!---------------------------------------------------------------------- |
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| 42 | |
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| 43 | CONTAINS |
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| 44 | |
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| 45 | SUBROUTINE trc_adv_tvd( kt ) |
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| 46 | !!---------------------------------------------------------------------- |
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| 47 | !! *** ROUTINE trc_adv_tvd *** |
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| 48 | !! |
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| 49 | !! ** Purpose : Compute the now trend due to total advection of |
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| 50 | !! tracers and add it to the general trend of tracer equations |
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| 51 | !! |
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| 52 | !! ** Method : TVD scheme, i.e. 2nd order centered scheme with |
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| 53 | !! corrected flux (monotonic correction) |
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| 54 | !! note: - this advection scheme needs a leap-frog time scheme |
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| 55 | !! |
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| 56 | !! ** Action : - update tra with the now advective tracer trends |
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[1175] | 57 | !! - save the trends ('key_trdmld_trc) |
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[941] | 58 | !!---------------------------------------------------------------------- |
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| 59 | #if defined key_trcbbl_adv |
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| 60 | USE oce_trc , zun => ua, & ! use ua as workspace |
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[1175] | 61 | & zvn => va ! use va as workspace |
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[941] | 62 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwn |
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| 63 | #else |
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| 64 | USE oce_trc , zun => un, & ! When no bbl, zun == un |
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[1175] | 65 | & zvn => vn, & ! zvn == vn |
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| 66 | & zwn => wn ! zwn == wn |
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[941] | 67 | #endif |
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[1175] | 68 | INTEGER, INTENT( in ) :: kt ! ocean time-step |
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| 69 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 70 | !! |
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| 71 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: ztu, ztv |
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| 72 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zti, ztw |
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| 73 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrtrd ! trends |
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| 74 | !! |
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| 75 | REAL(wp) :: z_hdivn_x, z_hdivn_y ! temporary scalars |
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| 76 | REAL(wp) :: z2dtt, zbtr, zeu, zev, zew, z2 |
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| 77 | REAL(wp) :: zfp_ui, zfp_vj, zfp_wk |
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| 78 | REAL(wp) :: zfm_ui, zfm_vj, zfm_wk |
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| 79 | REAL(wp) :: zgm, zgz |
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[941] | 80 | CHARACTER (len=22) :: charout |
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| 81 | !!---------------------------------------------------------------------- |
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| 82 | |
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| 83 | zti(:,:,:) = 0.e0 |
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| 84 | |
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| 85 | IF( kt == nittrc000 .AND. lwp ) THEN |
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| 86 | WRITE(numout,*) |
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| 87 | WRITE(numout,*) 'trc_adv_tvd : TVD advection scheme' |
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| 88 | WRITE(numout,*) '~~~~~~~~~~~' |
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| 89 | ENDIF |
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| 90 | |
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[1175] | 91 | IF( l_trdtrc ) ALLOCATE( ztrtrd(jpi,jpj,jpk) ) |
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| 92 | |
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[941] | 93 | IF( neuler == 0 .AND. kt == nittrc000 ) THEN |
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| 94 | z2=1. |
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| 95 | ELSE |
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| 96 | z2=2. |
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| 97 | ENDIF |
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| 98 | |
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| 99 | #if defined key_trcbbl_adv |
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| 100 | ! Advective Bottom boundary layer: add the velocity |
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| 101 | ! ------------------------------------------------- |
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| 102 | zun(:,:,:) = un (:,:,:) - u_trc_bbl(:,:,:) |
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| 103 | zvn(:,:,:) = vn (:,:,:) - v_trc_bbl(:,:,:) |
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| 104 | zwn(:,:,:) = wn (:,:,:) + w_trc_bbl(:,:,:) |
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| 105 | #endif |
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| 106 | |
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[1175] | 107 | ! ! =========== |
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| 108 | DO jn = 1, jptra ! tracer loop |
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| 109 | ! ! =========== |
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[941] | 110 | |
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[1175] | 111 | ! ============================================================ |
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| 112 | ! I. Intermediate advective trends |
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| 113 | ! ============================================================ |
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| 114 | |
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[941] | 115 | ! 1. Bottom value : flux set to zero |
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[1175] | 116 | ! ---------------------------------- |
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| 117 | ztu(:,:,jpk) = 0.e0 ; ztv(:,:,jpk) = 0.e0 |
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| 118 | ztw(:,:,jpk) = 0.e0 ; zti(:,:,jpk) = 0.e0 |
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[941] | 119 | |
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| 120 | |
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[1175] | 121 | ! 2. Upstream advection with initial mass fluxes & intermediate update |
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[941] | 122 | ! -------------------------------------------------------------------- |
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[1175] | 123 | |
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| 124 | ! ... Upstream tracer flux in the i and j direction |
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[941] | 125 | DO jk = 1, jpkm1 |
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| 126 | DO jj = 1, jpjm1 |
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| 127 | DO ji = 1, fs_jpim1 ! vector opt. |
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[1175] | 128 | !??? CD DO ji = fs_2, fs_jpim1 ! Vector opt. |
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[941] | 129 | zeu = 0.5 * e2u(ji,jj) * fse3u(ji,jj,jk) * zun(ji,jj,jk) |
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| 130 | zev = 0.5 * e1v(ji,jj) * fse3v(ji,jj,jk) * zvn(ji,jj,jk) |
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[1175] | 131 | zfp_ui = zeu + ABS( zeu ) ! upstream scheme |
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[941] | 132 | zfm_ui = zeu - ABS( zeu ) |
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| 133 | zfp_vj = zev + ABS( zev ) |
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| 134 | zfm_vj = zev - ABS( zev ) |
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| 135 | ztu(ji,jj,jk) = zfp_ui * trb(ji,jj,jk,jn) + zfm_ui * trb(ji+1,jj ,jk,jn) |
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| 136 | ztv(ji,jj,jk) = zfp_vj * trb(ji,jj,jk,jn) + zfm_vj * trb(ji ,jj+1,jk,jn) |
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| 137 | END DO |
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| 138 | END DO |
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| 139 | END DO |
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| 140 | |
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[1175] | 141 | ! ... Upstream tracer flux in the k direction |
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[941] | 142 | ! Surface value |
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| 143 | IF( lk_dynspg_rl ) THEN ! rigid lid : flux set to zero |
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| 144 | ztw(:,:,1) = 0.e0 |
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| 145 | ELSE ! free surface |
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| 146 | DO jj = 1, jpj |
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| 147 | DO ji = 1, jpi |
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| 148 | zew = e1t(ji,jj) * e2t(ji,jj) * zwn(ji,jj,1) |
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| 149 | ztw(ji,jj,1) = zew * trb(ji,jj,1,jn) |
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| 150 | END DO |
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| 151 | END DO |
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| 152 | ENDIF |
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| 153 | |
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| 154 | ! Interior value |
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| 155 | DO jk = 2, jpkm1 |
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| 156 | DO jj = 1, jpj |
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[1175] | 157 | DO ji = 1, jpi ! CD ??? Vector opt. |
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[941] | 158 | zew = 0.5 * e1t(ji,jj) * e2t(ji,jj) * zwn(ji,jj,jk) |
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| 159 | zfp_wk = zew + ABS( zew ) |
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| 160 | zfm_wk = zew - ABS( zew ) |
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| 161 | ztw(ji,jj,jk) = zfp_wk * trb(ji,jj,jk,jn) + zfm_wk * trb(ji,jj,jk-1,jn) |
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| 162 | END DO |
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| 163 | END DO |
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| 164 | END DO |
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| 165 | |
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[1175] | 166 | ! ... Total intermediate advective trend (flux divergence) |
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[941] | 167 | DO jk = 1, jpkm1 |
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| 168 | DO jj = 2, jpjm1 |
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| 169 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 170 | zbtr = 1./ ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 171 | zti(ji,jj,jk) = - ( ztu(ji,jj,jk) - ztu(ji-1,jj ,jk ) & |
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| 172 | & + ztv(ji,jj,jk) - ztv(ji ,jj-1,jk ) & |
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| 173 | & + ztw(ji,jj,jk) - ztw(ji ,jj ,jk+1) ) * zbtr |
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| 174 | #if defined key_trc_diatrd |
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| 175 | IF ( luttrd(jn) ) & |
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| 176 | trtrd(ji,jj,jk,ikeep(jn),1) = trtrd(ji,jj,jk,ikeep(jn),1) - & |
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[1175] | 177 | & zbtr * ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) ) |
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[941] | 178 | IF ( luttrd(jn) ) & |
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| 179 | trtrd(ji,jj,jk,ikeep(jn),2) = trtrd(ji,jj,jk,ikeep(jn),2) - & |
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[1175] | 180 | & zbtr * ( ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) |
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[941] | 181 | IF ( luttrd(jn) ) & |
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| 182 | trtrd(ji,jj,jk,ikeep(jn),3) = trtrd(ji,jj,jk,ikeep(jn),3) - & |
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| 183 | & zbtr * ( ztw(ji,jj,jk) - ztw(ji,jj,jk+1) ) |
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| 184 | #endif |
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| 185 | END DO |
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| 186 | END DO |
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| 187 | END DO |
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[1175] | 188 | |
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| 189 | ! 3. Save the intermediate i / j / k advective trends for diagnostics |
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| 190 | ! ------------------------------------------------------------------- |
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[941] | 191 | |
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[1175] | 192 | IF( l_trdtrc ) THEN |
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[941] | 193 | |
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[1175] | 194 | ! 3.1) Passive tracer ZONAL advection trends |
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| 195 | ztrtrd(:,:,:) = 0.e0 |
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| 196 | |
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| 197 | DO jk = 1, jpkm1 |
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| 198 | DO jj = 2, jpjm1 |
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| 199 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 200 | |
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| 201 | !-- Compute zonal divergence by splitting hdivn (see divcur.F90) |
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| 202 | ! N.B. This computation is not valid along OBCs (if any) |
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| 203 | zbtr = 1./ ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 204 | z_hdivn_x = ( e2u(ji ,jj) * fse3u(ji ,jj,jk) * un(ji ,jj,jk) & |
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| 205 | & - e2u(ji-1,jj) * fse3u(ji-1,jj,jk) * un(ji-1,jj,jk) ) * zbtr |
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| 206 | |
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| 207 | !-- Compute zonal advection trends |
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| 208 | ztrtrd(ji,jj,jk) = - ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) ) * zbtr & |
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| 209 | & + trb(ji,jj,jk,jn) * z_hdivn_x |
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| 210 | END DO |
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| 211 | END DO |
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| 212 | END DO |
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| 213 | |
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| 214 | IF (luttrd(jn)) CALL trd_mod_trc(ztrtrd, jn, jptrc_trd_xad, kt) ! save the trends |
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| 215 | |
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| 216 | ! 3.2) Passive tracer MERIDIONAL advection trends |
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| 217 | ztrtrd(:,:,:) = 0.e0 |
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| 218 | |
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| 219 | DO jk = 1, jpkm1 |
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| 220 | DO jj = 2, jpjm1 |
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| 221 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 222 | |
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| 223 | !-- Compute merid. divergence by splitting hdivn (see divcur.F90) |
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| 224 | ! N.B. This computation is not valid along OBCs (if any) |
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| 225 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 226 | z_hdivn_y = ( e1v(ji, jj) * fse3v(ji,jj ,jk) * vn(ji,jj ,jk) & |
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| 227 | & - e1v(ji,jj-1) * fse3v(ji,jj-1,jk) * vn(ji,jj-1,jk) ) * zbtr |
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| 228 | |
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| 229 | !-- Compute merid. advection trends |
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| 230 | ztrtrd(ji,jj,jk) = - ( ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) * zbtr & |
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| 231 | & + trb(ji,jj,jk,jn) * z_hdivn_y |
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| 232 | END DO |
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| 233 | END DO |
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| 234 | END DO |
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| 235 | |
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| 236 | IF (luttrd(jn)) CALL trd_mod_trc(ztrtrd, jn, jptrc_trd_yad, kt) ! save the trends |
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| 237 | |
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| 238 | ! 3.3) Passive tracer VERTICAL advection trends |
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| 239 | ztrtrd(:,:,:) = 0.e0 |
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| 240 | DO jk = 1, jpkm1 |
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| 241 | DO jj = 2, jpjm1 |
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| 242 | DO ji = fs_2, fs_jpim1 ! Vector opt. |
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| 243 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 244 | ztrtrd(ji,jj,jk) = - ( ztw(ji,jj,jk) - ztw(ji ,jj ,jk+1) ) * zbtr & |
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| 245 | & - trb(ji,jj,jk,jn) * hdivn(ji,jj,jk) |
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| 246 | END DO |
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| 247 | END DO |
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| 248 | END DO |
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| 249 | |
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| 250 | IF (luttrd(jn)) CALL trd_mod_trc(ztrtrd, jn, jptrc_trd_zad, kt) ! save the trends |
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| 251 | |
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| 252 | ENDIF |
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| 253 | |
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| 254 | ! 4. Update and guess with monotonic sheme |
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| 255 | ! ---------------------------------------- |
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[941] | 256 | DO jk = 1, jpkm1 |
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| 257 | z2dtt = z2 * rdttra(jk) * FLOAT(ndttrc) |
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| 258 | DO jj = 2, jpjm1 |
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| 259 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 260 | tra(ji,jj,jk,jn) = tra(ji,jj,jk,jn) + zti(ji,jj,jk) |
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| 261 | zti (ji,jj,jk) = ( trb(ji,jj,jk,jn) + z2dtt * zti(ji,jj,jk) ) * tmask(ji,jj,jk) |
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| 262 | END DO |
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| 263 | END DO |
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| 264 | END DO |
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| 265 | |
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[1175] | 266 | ! 5. Lateral boundary conditions on zti, zsi (unchanged sign) |
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| 267 | ! ----------------------------------------------------------- |
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[941] | 268 | CALL lbc_lnk( zti, 'T', 1. ) |
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| 269 | |
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[1175] | 270 | |
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| 271 | ! ============================================================ |
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| 272 | ! II. Corrected advective trends |
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| 273 | ! ============================================================ |
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| 274 | |
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| 275 | ! 1. Antidiffusive flux : high order minus low order |
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[941] | 276 | ! -------------------------------------------------- |
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[1175] | 277 | ! Antidiffusive flux on i and j |
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[941] | 278 | DO jk = 1, jpkm1 |
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| 279 | DO jj = 1, jpjm1 |
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| 280 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 281 | zeu = 0.5 * e2u(ji,jj) * fse3u(ji,jj,jk) * zun(ji,jj,jk) |
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| 282 | zev = 0.5 * e1v(ji,jj) * fse3v(ji,jj,jk) * zvn(ji,jj,jk) |
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| 283 | ztu(ji,jj,jk) = zeu * ( trn(ji,jj,jk,jn) + trn(ji+1,jj,jk,jn) ) - ztu(ji,jj,jk) |
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| 284 | ztv(ji,jj,jk) = zev * ( trn(ji,jj,jk,jn) + trn(ji,jj+1,jk,jn) ) - ztv(ji,jj,jk) |
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| 285 | END DO |
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| 286 | END DO |
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| 287 | END DO |
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| 288 | |
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[1175] | 289 | ! Antidiffusive flux on k |
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| 290 | ztw(:,:,1) = 0.e0 ! surface value |
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| 291 | DO jk = 2, jpkm1 ! interior value |
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[941] | 292 | DO jj = 1, jpj |
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| 293 | DO ji = 1, jpi |
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| 294 | zew = 0.5 * e1t(ji,jj) * e2t(ji,jj) * zwn(ji,jj,jk) |
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| 295 | ztw(ji,jj,jk) = zew * ( trn(ji,jj,jk,jn) + trn(ji,jj,jk-1,jn) ) - ztw(ji,jj,jk) |
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| 296 | END DO |
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| 297 | END DO |
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| 298 | END DO |
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| 299 | |
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| 300 | ! Lateral bondary conditions |
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| 301 | CALL lbc_lnk( ztu, 'U', -1. ) |
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| 302 | CALL lbc_lnk( ztv, 'V', -1. ) |
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| 303 | CALL lbc_lnk( ztw, 'W', 1. ) |
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| 304 | |
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[1175] | 305 | ! 2. Monotonicity algorithm |
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[941] | 306 | ! ------------------------- |
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| 307 | CALL nonosc( trb(:,:,:,jn), ztu, ztv, ztw, zti, z2 ) |
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| 308 | |
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| 309 | |
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[1175] | 310 | ! 3. Final trend with corrected fluxes |
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[941] | 311 | ! ------------------------------------ |
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| 312 | DO jk = 1, jpkm1 |
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| 313 | DO jj = 2, jpjm1 |
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| 314 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 315 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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[1175] | 316 | tra(ji,jj,jk,jn) = tra(ji,jj,jk,jn) & |
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| 317 | & - ( ztu(ji,jj,jk) - ztu(ji-1,jj ,jk ) & |
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| 318 | & + ztv(ji,jj,jk) - ztv(ji ,jj-1,jk ) & |
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| 319 | & + ztw(ji,jj,jk) - ztw(ji ,jj ,jk+1) ) * zbtr |
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[941] | 320 | #if defined key_trc_diatrd |
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| 321 | IF ( luttrd(jn) ) & |
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| 322 | trtrd(ji,jj,jk,ikeep(jn),1) = trtrd(ji,jj,jk,ikeep(jn),1) - & |
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[1175] | 323 | & zbtr * ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) ) |
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[941] | 324 | IF ( luttrd(jn) ) & |
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| 325 | trtrd(ji,jj,jk,ikeep(jn),2) = trtrd(ji,jj,jk,ikeep(jn),2) - & |
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[1175] | 326 | & zbtr * ( ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) |
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[941] | 327 | IF ( luttrd(jn) ) & |
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| 328 | trtrd(ji,jj,jk,ikeep(jn),3) = trtrd(ji,jj,jk,ikeep(jn),3) - & |
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| 329 | & zbtr * ( ztw(ji,jj,jk) - ztw(ji,jj,jk+1) ) |
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| 330 | #endif |
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[1175] | 331 | |
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[941] | 332 | END DO |
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| 333 | END DO |
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| 334 | END DO |
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[1175] | 335 | |
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[941] | 336 | #if defined key_trc_diatrd |
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| 337 | DO jk = 1,jpk |
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| 338 | DO jj = 2,jpjm1 |
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| 339 | DO ji = 2,jpim1 |
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| 340 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 341 | zgm = zbtr * trn(ji,jj,jk,jn) * & |
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| 342 | & ( zun(ji ,jj,jk) * e2u(ji ,jj) * fse3u(ji ,jj,jk) & |
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| 343 | & - zun(ji-1,jj,jk) * e2u(ji-1,jj) * fse3u(ji-1,jj,jk) ) |
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[1175] | 344 | |
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[941] | 345 | zgz = zbtr * trn(ji,jj,jk,jn) * & |
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| 346 | & ( zvn(ji,jj ,jk) * e1v(ji,jj ) * fse3v(ji,jj ,jk) & |
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| 347 | & - zvn(ji,jj-1,jk) * e1v(ji,jj-1) * fse3v(ji,jj-1,jk) ) |
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[1175] | 348 | |
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[941] | 349 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),1) = trtrd(ji,jj,jk,ikeep(jn),1) + zgm |
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| 350 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),2) = trtrd(ji,jj,jk,ikeep(jn),2) + zgz |
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| 351 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),3) = trtrd(ji,jj,jk,ikeep(jn),3) & |
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| 352 | & - trn(ji,jj,jk,jn) * hdivn(ji,jj,jk) |
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| 353 | END DO |
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| 354 | END DO |
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| 355 | END DO |
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[1175] | 356 | |
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[941] | 357 | ! Lateral boundary conditions on trtrd: |
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[1175] | 358 | |
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[941] | 359 | IF (luttrd(jn)) CALL lbc_lnk( trtrd(:,:,:,ikeep(jn),1), 'T', 1. ) |
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| 360 | IF (luttrd(jn)) CALL lbc_lnk( trtrd(:,:,:,ikeep(jn),2), 'T', 1. ) |
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| 361 | IF (luttrd(jn)) CALL lbc_lnk( trtrd(:,:,:,ikeep(jn),3), 'T', 1. ) |
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| 362 | #endif |
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| 363 | |
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[1175] | 364 | ! 4. Save the advective trends for diagnostics |
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| 365 | ! -------------------------------------------- |
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| 366 | ! Warning : mass fluxes should probably be converted into advection |
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| 367 | ! terms in the computations below ??? |
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| 368 | |
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| 369 | IF( l_trdtrc ) THEN |
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| 370 | |
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| 371 | ! 4.1) Passive tracer ZONAL advection trends |
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| 372 | ztrtrd(:,:,:) = 0.e0 |
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| 373 | DO jk = 1, jpkm1 |
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| 374 | DO jj = 2, jpjm1 |
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| 375 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 376 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 377 | ztrtrd(ji,jj,jk) = - ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) ) * zbtr |
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| 378 | END DO |
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| 379 | END DO |
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| 380 | END DO |
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| 381 | |
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| 382 | IF (luttrd(jn)) CALL trd_mod_trc(ztrtrd, jn, jptrc_trd_xad, kt) ! <<< ADD TO PREVIOUSLY COMPUTED |
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| 383 | |
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| 384 | ! 4.2) Passive tracer MERIDIONAL advection trends |
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| 385 | ztrtrd(:,:,:) = 0.e0 |
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| 386 | DO jk = 1, jpkm1 |
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| 387 | DO jj = 2, jpjm1 |
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| 388 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 389 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 390 | ztrtrd(ji,jj,jk) = - ( ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) * zbtr |
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| 391 | END DO |
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| 392 | END DO |
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| 393 | END DO |
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| 394 | |
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| 395 | IF (luttrd(jn)) CALL trd_mod_trc(ztrtrd, jn, jptrc_trd_yad, kt) ! <<< ADD TO PREVIOUSLY COMPUTED |
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| 396 | |
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| 397 | ! 4.3) Passive tracer VERTICAL advection trends |
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| 398 | ztrtrd(:,:,:) = 0.e0 |
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| 399 | DO jk = 1, jpkm1 |
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| 400 | DO jj = 2, jpjm1 |
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| 401 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 402 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 403 | ztrtrd(ji,jj,jk) = - ( ztw(ji,jj,jk) - ztw(ji,jj,jk+1) ) * zbtr |
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| 404 | END DO |
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| 405 | END DO |
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| 406 | END DO |
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| 407 | |
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| 408 | IF (luttrd(jn)) CALL trd_mod_trc(ztrtrd, jn, jptrc_trd_zad, kt) ! <<< ADD TO PREVIOUSLY COMPUTED |
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| 409 | |
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| 410 | ENDIF |
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| 411 | |
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| 412 | |
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[941] | 413 | END DO |
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| 414 | |
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[1175] | 415 | IF( l_trdtrc ) DEALLOCATE( ztrtrd ) |
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| 416 | |
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[941] | 417 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
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| 418 | WRITE(charout, FMT="('tvd - adv')") |
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| 419 | CALL prt_ctl_trc_info(charout) |
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| 420 | CALL prt_ctl_trc(tab4d=tra, mask=tmask, clinfo=ctrcnm,clinfo2='trd') |
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| 421 | ENDIF |
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| 422 | |
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| 423 | END SUBROUTINE trc_adv_tvd |
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| 424 | |
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| 425 | |
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| 426 | SUBROUTINE nonosc( pbef, paa, pbb, pcc, paft, prdt ) |
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| 427 | !!--------------------------------------------------------------------- |
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| 428 | !! *** ROUTINE nonosc *** |
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| 429 | !! |
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| 430 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
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| 431 | !! scheme and the before field by a nonoscillatory algorithm |
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| 432 | !! |
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| 433 | !! ** Method : ... ??? |
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| 434 | !! warning : pbef and paft must be masked, but the boundaries |
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| 435 | !! conditions on the fluxes are not necessary zalezak (1979) |
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| 436 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
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| 437 | !! in-space based differencing for fluid |
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| 438 | !! |
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| 439 | !! History : |
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| 440 | !! ! 97-04 (L. Mortier) Original code |
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| 441 | !! ! 00-02 (H. Loukos) rewritting for opa8 |
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| 442 | !! ! 00-10 (M.A Foujols, E. Kestenare) lateral b.c. |
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[1175] | 443 | !! ! 01-03 (E. Kestenare) add key_passivetrc |
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[941] | 444 | !! ! 01-07 (E. Durand G. Madec) adapted for T & S |
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| 445 | !! 8.5 ! 02-06 (G. Madec) F90: Free form and module |
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| 446 | !!---------------------------------------------------------------------- |
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| 447 | !! * Arguments |
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| 448 | REAL(wp), INTENT( in ) :: & |
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| 449 | prdt ! ??? |
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| 450 | REAL(wp), DIMENSION (jpi,jpj,jpk), INTENT( inout ) :: & |
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| 451 | pbef, & ! before field |
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| 452 | paft, & ! after field |
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| 453 | paa, & ! monotonic flux in the i direction |
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| 454 | pbb, & ! monotonic flux in the j direction |
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| 455 | pcc ! monotonic flux in the k direction |
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| 456 | |
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| 457 | !! * Local declarations |
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| 458 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 459 | INTEGER :: ikm1 |
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| 460 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zbetup, zbetdo |
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[1175] | 461 | REAL(wp) :: zpos, zneg, zbt, za, zb, zc, zbig, zrtrn, z2dtt |
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[941] | 462 | !!---------------------------------------------------------------------- |
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| 463 | |
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| 464 | zbig = 1.e+40 |
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[1175] | 465 | zrtrn = 1.e-15 |
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[941] | 466 | zbetup(:,:,:) = 0.e0 ; zbetdo(:,:,:) = 0.e0 |
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| 467 | |
---|
| 468 | ! Search local extrema |
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| 469 | ! -------------------- |
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| 470 | ! large negative value (-zbig) inside land |
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| 471 | ! large negative value (-zbig) inside land |
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| 472 | pbef(:,:,:) = pbef(:,:,:) * tmask(:,:,:) - zbig * ( 1.e0 - tmask(:,:,:) ) |
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| 473 | paft(:,:,:) = paft(:,:,:) * tmask(:,:,:) - zbig * ( 1.e0 - tmask(:,:,:) ) |
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| 474 | ! search maximum in neighbourhood |
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| 475 | DO jk = 1, jpkm1 |
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| 476 | ikm1 = MAX(jk-1,1) |
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| 477 | DO jj = 2, jpjm1 |
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| 478 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 479 | zbetup(ji,jj,jk) = MAX( pbef(ji ,jj ,jk ), paft(ji ,jj ,jk ), & |
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| 480 | & pbef(ji-1,jj ,jk ), pbef(ji+1,jj ,jk ), & |
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| 481 | & paft(ji-1,jj ,jk ), paft(ji+1,jj ,jk ), & |
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| 482 | & pbef(ji ,jj-1,jk ), pbef(ji ,jj+1,jk ), & |
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| 483 | & paft(ji ,jj-1,jk ), paft(ji ,jj+1,jk ), & |
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| 484 | & pbef(ji ,jj ,ikm1), pbef(ji ,jj ,jk+1), & |
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| 485 | & paft(ji ,jj ,ikm1), paft(ji ,jj ,jk+1) ) |
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| 486 | END DO |
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| 487 | END DO |
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| 488 | END DO |
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| 489 | ! large positive value (+zbig) inside land |
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| 490 | pbef(:,:,:) = pbef(:,:,:) * tmask(:,:,:) + zbig * ( 1.e0 - tmask(:,:,:) ) |
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| 491 | paft(:,:,:) = paft(:,:,:) * tmask(:,:,:) + zbig * ( 1.e0 - tmask(:,:,:) ) |
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| 492 | ! search minimum in neighbourhood |
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| 493 | DO jk = 1, jpkm1 |
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| 494 | ikm1 = MAX(jk-1,1) |
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| 495 | DO jj = 2, jpjm1 |
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| 496 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 497 | zbetdo(ji,jj,jk) = MIN( pbef(ji ,jj ,jk ), paft(ji ,jj ,jk ), & |
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| 498 | & pbef(ji-1,jj ,jk ), pbef(ji+1,jj ,jk ), & |
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| 499 | & paft(ji-1,jj ,jk ), paft(ji+1,jj ,jk ), & |
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| 500 | & pbef(ji ,jj-1,jk ), pbef(ji ,jj+1,jk ), & |
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| 501 | & paft(ji ,jj-1,jk ), paft(ji ,jj+1,jk ), & |
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| 502 | & pbef(ji ,jj ,ikm1), pbef(ji ,jj ,jk+1), & |
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| 503 | & paft(ji ,jj ,ikm1), paft(ji ,jj ,jk+1) ) |
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| 504 | END DO |
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| 505 | END DO |
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| 506 | END DO |
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| 507 | |
---|
| 508 | ! restore masked values to zero |
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| 509 | pbef(:,:,:) = pbef(:,:,:) * tmask(:,:,:) |
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| 510 | paft(:,:,:) = paft(:,:,:) * tmask(:,:,:) |
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| 511 | |
---|
| 512 | |
---|
| 513 | ! 2. Positive and negative part of fluxes and beta terms |
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| 514 | ! ------------------------------------------------------ |
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| 515 | |
---|
| 516 | DO jk = 1, jpkm1 |
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| 517 | z2dtt = prdt * rdttra(jk) * FLOAT(ndttrc) |
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| 518 | DO jj = 2, jpjm1 |
---|
| 519 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 520 | ! positive & negative part of the flux |
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| 521 | zpos = MAX( 0., paa(ji-1,jj ,jk ) ) - MIN( 0., paa(ji ,jj ,jk ) ) & |
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| 522 | & + MAX( 0., pbb(ji ,jj-1,jk ) ) - MIN( 0., pbb(ji ,jj ,jk ) ) & |
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| 523 | & + MAX( 0., pcc(ji ,jj ,jk+1) ) - MIN( 0., pcc(ji ,jj ,jk ) ) |
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| 524 | zneg = MAX( 0., paa(ji ,jj ,jk ) ) - MIN( 0., paa(ji-1,jj ,jk ) ) & |
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| 525 | & + MAX( 0., pbb(ji ,jj ,jk ) ) - MIN( 0., pbb(ji ,jj-1,jk ) ) & |
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| 526 | & + MAX( 0., pcc(ji ,jj ,jk ) ) - MIN( 0., pcc(ji ,jj ,jk+1) ) |
---|
| 527 | ! up & down beta terms |
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| 528 | zbt = e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) / z2dtt |
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[1175] | 529 | zbetup(ji,jj,jk) = ( zbetup(ji,jj,jk) - paft(ji,jj,jk) ) / (zpos+zrtrn) * zbt |
---|
| 530 | zbetdo(ji,jj,jk) = ( paft(ji,jj,jk) - zbetdo(ji,jj,jk) ) / (zneg+zrtrn) * zbt |
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[941] | 531 | END DO |
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| 532 | END DO |
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| 533 | END DO |
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| 534 | |
---|
| 535 | ! lateral boundary condition on zbetup & zbetdo (unchanged sign) |
---|
| 536 | CALL lbc_lnk( zbetup, 'T', 1. ) |
---|
| 537 | CALL lbc_lnk( zbetdo, 'T', 1. ) |
---|
| 538 | |
---|
| 539 | |
---|
| 540 | ! 3. monotonic flux in the i direction, i.e. paa |
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| 541 | ! ---------------------------------------------- |
---|
| 542 | DO jk = 1, jpkm1 |
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| 543 | DO jj = 2, jpjm1 |
---|
| 544 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 545 | zc = paa(ji,jj,jk) |
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| 546 | IF( zc >= 0. ) THEN |
---|
| 547 | za = MIN( 1., zbetdo(ji,jj,jk), zbetup(ji+1,jj,jk) ) |
---|
| 548 | paa(ji,jj,jk) = za * zc |
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| 549 | ELSE |
---|
| 550 | zb = MIN( 1., zbetup(ji,jj,jk), zbetdo(ji+1,jj,jk) ) |
---|
| 551 | paa(ji,jj,jk) = zb * zc |
---|
| 552 | ENDIF |
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| 553 | END DO |
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| 554 | END DO |
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| 555 | END DO |
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| 556 | |
---|
| 557 | ! lateral boundary condition on paa (changed sign) |
---|
| 558 | CALL lbc_lnk( paa, 'U', -1. ) |
---|
| 559 | |
---|
| 560 | |
---|
| 561 | ! 4. monotonic flux in the j direction, i.e. pbb |
---|
| 562 | ! ---------------------------------------------- |
---|
| 563 | DO jk = 1, jpkm1 |
---|
| 564 | DO jj = 2, jpjm1 |
---|
| 565 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 566 | zc = pbb(ji,jj,jk) |
---|
| 567 | IF( zc >= 0. ) THEN |
---|
| 568 | za = MIN( 1., zbetdo(ji,jj,jk), zbetup(ji,jj+1,jk) ) |
---|
| 569 | pbb(ji,jj,jk) = za * zc |
---|
| 570 | ELSE |
---|
| 571 | zb = MIN( 1., zbetup(ji,jj,jk), zbetdo(ji,jj+1,jk) ) |
---|
| 572 | pbb(ji,jj,jk) = zb * zc |
---|
| 573 | ENDIF |
---|
| 574 | END DO |
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| 575 | END DO |
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| 576 | END DO |
---|
| 577 | |
---|
| 578 | ! lateral boundary condition on pbb (changed sign) |
---|
| 579 | CALL lbc_lnk( pbb, 'V', -1. ) |
---|
| 580 | |
---|
| 581 | |
---|
| 582 | ! monotonic flux in the k direction, i.e. pcc |
---|
| 583 | ! ------------------------------------------- |
---|
| 584 | DO jk = 2, jpkm1 |
---|
| 585 | DO jj = 2, jpjm1 |
---|
| 586 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 587 | zc = pcc(ji,jj,jk) |
---|
| 588 | IF( zc >= 0. ) THEN |
---|
| 589 | za = MIN( 1., zbetdo(ji,jj,jk), zbetup(ji,jj,jk-1) ) |
---|
| 590 | pcc(ji,jj,jk) = za * zc |
---|
| 591 | ELSE |
---|
| 592 | zb = MIN( 1., zbetup(ji,jj,jk), zbetdo(ji,jj,jk-1) ) |
---|
| 593 | pcc(ji,jj,jk) = zb * zc |
---|
| 594 | ENDIF |
---|
| 595 | END DO |
---|
| 596 | END DO |
---|
| 597 | END DO |
---|
| 598 | |
---|
| 599 | ! lateral boundary condition on pcc (unchanged sign) |
---|
| 600 | CALL lbc_lnk( pcc, 'W', 1. ) |
---|
| 601 | |
---|
| 602 | END SUBROUTINE nonosc |
---|
| 603 | |
---|
| 604 | #else |
---|
| 605 | !!---------------------------------------------------------------------- |
---|
| 606 | !! Default option Empty module |
---|
| 607 | !!---------------------------------------------------------------------- |
---|
| 608 | CONTAINS |
---|
| 609 | SUBROUTINE trc_adv_tvd( kt ) |
---|
| 610 | INTEGER, INTENT(in) :: kt |
---|
| 611 | WRITE(*,*) 'trc_adv_tvd: You should not have seen this print! error?', kt |
---|
| 612 | END SUBROUTINE trc_adv_tvd |
---|
| 613 | #endif |
---|
| 614 | |
---|
| 615 | !!====================================================================== |
---|
| 616 | END MODULE trcadv_tvd |
---|