[9403] | 1 | MODULE trazdf |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE trazdf *** |
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| 4 | !! Ocean active tracers: vertical component of the tracer mixing trend |
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| 5 | !!============================================================================== |
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| 6 | !! History : 1.0 ! 2005-11 (G. Madec) Original code |
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| 7 | !! 3.0 ! 2008-01 (C. Ethe, G. Madec) merge TRC-TRA |
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| 8 | !! 4.0 ! 2017-06 (G. Madec) remove explict time-stepping option |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | !! tra_zdf : Update the tracer trend with the vertical diffusion |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | USE oce ! ocean dynamics and tracers variables |
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| 15 | USE dom_oce ! ocean space and time domain variables |
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| 16 | USE domvvl ! variable volume |
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| 17 | USE phycst ! physical constant |
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| 18 | USE zdf_oce ! ocean vertical physics variables |
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| 19 | USE sbc_oce ! surface boundary condition: ocean |
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| 20 | USE ldftra ! lateral diffusion: eddy diffusivity |
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| 21 | USE ldfslp ! lateral diffusion: iso-neutral slope |
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| 22 | USE trd_oce ! trends: ocean variables |
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| 23 | USE trdtra ! trends: tracer trend manager |
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| 24 | ! |
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| 25 | USE in_out_manager ! I/O manager |
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| 26 | USE prtctl ! Print control |
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| 27 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 28 | USE lib_mpp ! MPP library |
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| 29 | USE timing ! Timing |
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| 30 | |
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| 31 | IMPLICIT NONE |
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| 32 | PRIVATE |
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| 33 | |
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| 34 | PUBLIC tra_zdf ! called by step.F90 |
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| 35 | PUBLIC tra_zdf_imp ! called by trczdf.F90 |
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| 36 | |
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[12740] | 37 | !! * Substitutions |
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| 38 | # include "do_loop_substitute.h90" |
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[9403] | 39 | !!---------------------------------------------------------------------- |
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[10073] | 40 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[10074] | 41 | !! $Id$ |
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[10073] | 42 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[9403] | 43 | !!---------------------------------------------------------------------- |
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| 44 | CONTAINS |
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| 45 | |
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[12377] | 46 | SUBROUTINE tra_zdf( kt, Kbb, Kmm, Krhs, pts, Kaa ) |
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[9403] | 47 | !!---------------------------------------------------------------------- |
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| 48 | !! *** ROUTINE tra_zdf *** |
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| 49 | !! |
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| 50 | !! ** Purpose : compute the vertical ocean tracer physics. |
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| 51 | !!--------------------------------------------------------------------- |
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[12377] | 52 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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| 53 | INTEGER , INTENT(in) :: Kbb, Kmm, Krhs, Kaa ! time level indices |
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| 54 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpts,jpt), INTENT(inout) :: pts ! active tracers and RHS of tracer equation |
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[9403] | 55 | ! |
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| 56 | INTEGER :: jk ! Dummy loop indices |
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| 57 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdt, ztrds ! 3D workspace |
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| 58 | !!--------------------------------------------------------------------- |
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| 59 | ! |
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| 60 | IF( ln_timing ) CALL timing_start('tra_zdf') |
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| 61 | ! |
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| 62 | IF( kt == nit000 ) THEN |
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| 63 | IF(lwp)WRITE(numout,*) |
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| 64 | IF(lwp)WRITE(numout,*) 'tra_zdf : implicit vertical mixing on T & S' |
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| 65 | IF(lwp)WRITE(numout,*) '~~~~~~~ ' |
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| 66 | ENDIF |
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| 67 | ! |
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| 68 | IF( l_trdtra ) THEN !* Save ta and sa trends |
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| 69 | ALLOCATE( ztrdt(jpi,jpj,jpk) , ztrds(jpi,jpj,jpk) ) |
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[12377] | 70 | ztrdt(:,:,:) = pts(:,:,:,jp_tem,Kaa) |
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| 71 | ztrds(:,:,:) = pts(:,:,:,jp_sal,Kaa) |
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[9403] | 72 | ENDIF |
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| 73 | ! |
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| 74 | ! !* compute lateral mixing trend and add it to the general trend |
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[12489] | 75 | CALL tra_zdf_imp( kt, nit000, 'TRA', rDt, Kbb, Kmm, Krhs, pts, Kaa, jpts ) |
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[9403] | 76 | |
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| 77 | !!gm WHY here ! and I don't like that ! |
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| 78 | ! DRAKKAR SSS control { |
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| 79 | ! JMM avoid negative salinities near river outlet ! Ugly fix |
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| 80 | ! JMM : restore negative salinities to small salinities: |
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[12740] | 81 | !!$ WHERE( pts(:,:,:,jp_sal,Kaa) < 0._wp ) pts(:,:,:,jp_sal,Kaa) = 0.1_wp |
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[9403] | 82 | !!gm |
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| 83 | |
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| 84 | IF( l_trdtra ) THEN ! save the vertical diffusive trends for further diagnostics |
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| 85 | DO jk = 1, jpkm1 |
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[12377] | 86 | ztrdt(:,:,jk) = ( ( pts(:,:,jk,jp_tem,Kaa)*e3t(:,:,jk,Kaa) - pts(:,:,jk,jp_tem,Kbb)*e3t(:,:,jk,Kbb) ) & |
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[12489] | 87 | & / (e3t(:,:,jk,Kmm)*rDt) ) - ztrdt(:,:,jk) |
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[12377] | 88 | ztrds(:,:,jk) = ( ( pts(:,:,jk,jp_sal,Kaa)*e3t(:,:,jk,Kaa) - pts(:,:,jk,jp_sal,Kbb)*e3t(:,:,jk,Kbb) ) & |
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[12489] | 89 | & / (e3t(:,:,jk,Kmm)*rDt) ) - ztrds(:,:,jk) |
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[9403] | 90 | END DO |
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| 91 | !!gm this should be moved in trdtra.F90 and done on all trends |
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[10425] | 92 | CALL lbc_lnk_multi( 'trazdf', ztrdt, 'T', 1. , ztrds, 'T', 1. ) |
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[9403] | 93 | !!gm |
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[12377] | 94 | CALL trd_tra( kt, Kmm, Krhs, 'TRA', jp_tem, jptra_zdf, ztrdt ) |
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| 95 | CALL trd_tra( kt, Kmm, Krhs, 'TRA', jp_sal, jptra_zdf, ztrds ) |
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[9403] | 96 | DEALLOCATE( ztrdt , ztrds ) |
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| 97 | ENDIF |
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| 98 | ! ! print mean trends (used for debugging) |
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[12740] | 99 | IF(sn_cfctl%l_prtctl) CALL prt_ctl( tab3d_1=pts(:,:,:,jp_tem,Kaa), clinfo1=' zdf - Ta: ', mask1=tmask, & |
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| 100 | & tab3d_2=pts(:,:,:,jp_sal,Kaa), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
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[9403] | 101 | ! |
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| 102 | IF( ln_timing ) CALL timing_stop('tra_zdf') |
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| 103 | ! |
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| 104 | END SUBROUTINE tra_zdf |
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| 105 | |
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| 106 | |
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[12377] | 107 | SUBROUTINE tra_zdf_imp( kt, kit000, cdtype, p2dt, Kbb, Kmm, Krhs, pt, Kaa, kjpt ) |
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[9403] | 108 | !!---------------------------------------------------------------------- |
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| 109 | !! *** ROUTINE tra_zdf_imp *** |
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| 110 | !! |
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| 111 | !! ** Purpose : Compute the after tracer through a implicit computation |
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| 112 | !! of the vertical tracer diffusion (including the vertical component |
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| 113 | !! of lateral mixing (only for 2nd order operator, for fourth order |
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| 114 | !! it is already computed and add to the general trend in traldf) |
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| 115 | !! |
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| 116 | !! ** Method : The vertical diffusion of a tracer ,t , is given by: |
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| 117 | !! difft = dz( avt dz(t) ) = 1/e3t dk+1( avt/e3w dk(t) ) |
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| 118 | !! It is computed using a backward time scheme (t=after field) |
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| 119 | !! which provide directly the after tracer field. |
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| 120 | !! If ln_zdfddm=T, use avs for salinity or for passive tracers |
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| 121 | !! Surface and bottom boundary conditions: no diffusive flux on |
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| 122 | !! both tracers (bottom, applied through the masked field avt). |
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| 123 | !! If iso-neutral mixing, add to avt the contribution due to lateral mixing. |
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| 124 | !! |
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[12377] | 125 | !! ** Action : - pt(:,:,:,:,Kaa) becomes the after tracer |
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[9403] | 126 | !!--------------------------------------------------------------------- |
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[12377] | 127 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 128 | INTEGER , INTENT(in ) :: Kbb, Kmm, Krhs, Kaa ! ocean time level indices |
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| 129 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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| 130 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 131 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 132 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
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| 133 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt,jpt), INTENT(inout) :: pt ! tracers and RHS of tracer equation |
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[9403] | 134 | ! |
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| 135 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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[10572] | 136 | REAL(wp) :: zrhs, zzwi, zzws ! local scalars |
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[9403] | 137 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwi, zwt, zwd, zws |
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| 138 | !!--------------------------------------------------------------------- |
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| 139 | ! |
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| 140 | ! ! ============= ! |
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| 141 | DO jn = 1, kjpt ! tracer loop ! |
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| 142 | ! ! ============= ! |
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| 143 | ! Matrix construction |
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| 144 | ! -------------------- |
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| 145 | ! Build matrix if temperature or salinity (only in double diffusion case) or first passive tracer |
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| 146 | ! |
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| 147 | IF( ( cdtype == 'TRA' .AND. ( jn == jp_tem .OR. ( jn == jp_sal .AND. ln_zdfddm ) ) ) .OR. & |
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| 148 | & ( cdtype == 'TRC' .AND. jn == 1 ) ) THEN |
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| 149 | ! |
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| 150 | ! vertical mixing coef.: avt for temperature, avs for salinity and passive tracers |
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| 151 | IF( cdtype == 'TRA' .AND. jn == jp_tem ) THEN ; zwt(:,:,2:jpk) = avt(:,:,2:jpk) |
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| 152 | ELSE ; zwt(:,:,2:jpk) = avs(:,:,2:jpk) |
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| 153 | ENDIF |
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| 154 | zwt(:,:,1) = 0._wp |
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| 155 | ! |
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| 156 | IF( l_ldfslp ) THEN ! isoneutral diffusion: add the contribution |
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| 157 | IF( ln_traldf_msc ) THEN ! MSC iso-neutral operator |
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[13295] | 158 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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[12740] | 159 | zwt(ji,jj,jk) = zwt(ji,jj,jk) + akz(ji,jj,jk) |
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| 160 | END_3D |
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[9403] | 161 | ELSE ! standard or triad iso-neutral operator |
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[13295] | 162 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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[12740] | 163 | zwt(ji,jj,jk) = zwt(ji,jj,jk) + ah_wslp2(ji,jj,jk) |
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| 164 | END_3D |
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[9403] | 165 | ENDIF |
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| 166 | ENDIF |
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| 167 | ! |
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| 168 | ! Diagonal, lower (i), upper (s) (including the bottom boundary condition since avt is masked) |
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[10572] | 169 | IF( ln_zad_Aimp ) THEN ! Adaptive implicit vertical advection |
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[13295] | 170 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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[12740] | 171 | zzwi = - p2dt * zwt(ji,jj,jk ) / e3w(ji,jj,jk ,Kmm) |
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| 172 | zzws = - p2dt * zwt(ji,jj,jk+1) / e3w(ji,jj,jk+1,Kmm) |
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| 173 | zwd(ji,jj,jk) = e3t(ji,jj,jk,Kaa) - zzwi - zzws & |
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| 174 | & + p2dt * ( MAX( wi(ji,jj,jk ) , 0._wp ) - MIN( wi(ji,jj,jk+1) , 0._wp ) ) |
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| 175 | zwi(ji,jj,jk) = zzwi + p2dt * MIN( wi(ji,jj,jk ) , 0._wp ) |
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| 176 | zws(ji,jj,jk) = zzws - p2dt * MAX( wi(ji,jj,jk+1) , 0._wp ) |
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| 177 | END_3D |
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[10572] | 178 | ELSE |
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[13295] | 179 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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[12740] | 180 | zwi(ji,jj,jk) = - p2dt * zwt(ji,jj,jk ) / e3w(ji,jj,jk,Kmm) |
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| 181 | zws(ji,jj,jk) = - p2dt * zwt(ji,jj,jk+1) / e3w(ji,jj,jk+1,Kmm) |
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| 182 | zwd(ji,jj,jk) = e3t(ji,jj,jk,Kaa) - zwi(ji,jj,jk) - zws(ji,jj,jk) |
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| 183 | END_3D |
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[10572] | 184 | ENDIF |
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[9403] | 185 | ! |
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| 186 | !! Matrix inversion from the first level |
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| 187 | !!---------------------------------------------------------------------- |
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| 188 | ! solve m.x = y where m is a tri diagonal matrix ( jpk*jpk ) |
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| 189 | ! |
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| 190 | ! ( zwd1 zws1 0 0 0 )( zwx1 ) ( zwy1 ) |
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| 191 | ! ( zwi2 zwd2 zws2 0 0 )( zwx2 ) ( zwy2 ) |
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| 192 | ! ( 0 zwi3 zwd3 zws3 0 )( zwx3 )=( zwy3 ) |
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| 193 | ! ( ... )( ... ) ( ... ) |
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| 194 | ! ( 0 0 0 zwik zwdk )( zwxk ) ( zwyk ) |
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| 195 | ! |
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| 196 | ! m is decomposed in the product of an upper and lower triangular matrix. |
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| 197 | ! The 3 diagonal terms are in 3d arrays: zwd, zws, zwi. |
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| 198 | ! Suffices i,s and d indicate "inferior" (below diagonal), diagonal |
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| 199 | ! and "superior" (above diagonal) components of the tridiagonal system. |
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| 200 | ! The solution will be in the 4d array pta. |
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| 201 | ! The 3d array zwt is used as a work space array. |
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[12377] | 202 | ! En route to the solution pt(:,:,:,:,Kaa) is used a to evaluate the rhs and then |
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[9403] | 203 | ! used as a work space array: its value is modified. |
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| 204 | ! |
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[13295] | 205 | DO_2D( 0, 0, 0, 0 ) |
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[12740] | 206 | zwt(ji,jj,1) = zwd(ji,jj,1) |
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| 207 | END_2D |
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[13295] | 208 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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[12740] | 209 | zwt(ji,jj,jk) = zwd(ji,jj,jk) - zwi(ji,jj,jk) * zws(ji,jj,jk-1) / zwt(ji,jj,jk-1) |
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| 210 | END_3D |
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[9403] | 211 | ! |
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| 212 | ENDIF |
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| 213 | ! |
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[13295] | 214 | DO_2D( 0, 0, 0, 0 ) |
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[12740] | 215 | pt(ji,jj,1,jn,Kaa) = e3t(ji,jj,1,Kbb) * pt(ji,jj,1,jn,Kbb) + p2dt * e3t(ji,jj,1,Kmm) * pt(ji,jj,1,jn,Krhs) |
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| 216 | END_2D |
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[13295] | 217 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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[12740] | 218 | zrhs = e3t(ji,jj,jk,Kbb) * pt(ji,jj,jk,jn,Kbb) + p2dt * e3t(ji,jj,jk,Kmm) * pt(ji,jj,jk,jn,Krhs) ! zrhs=right hand side |
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| 219 | pt(ji,jj,jk,jn,Kaa) = zrhs - zwi(ji,jj,jk) / zwt(ji,jj,jk-1) * pt(ji,jj,jk-1,jn,Kaa) |
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| 220 | END_3D |
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[9403] | 221 | ! |
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[13295] | 222 | DO_2D( 0, 0, 0, 0 ) |
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[12740] | 223 | pt(ji,jj,jpkm1,jn,Kaa) = pt(ji,jj,jpkm1,jn,Kaa) / zwt(ji,jj,jpkm1) * tmask(ji,jj,jpkm1) |
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| 224 | END_2D |
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[13295] | 225 | DO_3DS( 0, 0, 0, 0, jpk-2, 1, -1 ) |
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[12740] | 226 | pt(ji,jj,jk,jn,Kaa) = ( pt(ji,jj,jk,jn,Kaa) - zws(ji,jj,jk) * pt(ji,jj,jk+1,jn,Kaa) ) & |
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| 227 | & / zwt(ji,jj,jk) * tmask(ji,jj,jk) |
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| 228 | END_3D |
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[9403] | 229 | ! ! ================= ! |
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| 230 | END DO ! end tracer loop ! |
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| 231 | ! ! ================= ! |
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| 232 | END SUBROUTINE tra_zdf_imp |
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| 233 | |
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| 234 | !!============================================================================== |
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| 235 | END MODULE trazdf |
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