[458] | 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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[9019] | 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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[458] | 9 | !!---------------------------------------------------------------------- |
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[503] | 10 | |
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| 11 | !!---------------------------------------------------------------------- |
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[6140] | 12 | !! tra_zdf : Update the tracer trend with the vertical diffusion |
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[458] | 13 | !!---------------------------------------------------------------------- |
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[6140] | 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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[5836] | 24 | ! |
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[6140] | 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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[592] | 30 | |
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[458] | 31 | IMPLICIT NONE |
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| 32 | PRIVATE |
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| 33 | |
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[9019] | 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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[458] | 36 | |
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| 37 | !! * Substitutions |
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| 38 | # include "vectopt_loop_substitute.h90" |
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| 39 | !!---------------------------------------------------------------------- |
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[9598] | 40 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[888] | 41 | !! $Id$ |
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[10068] | 42 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[458] | 43 | !!---------------------------------------------------------------------- |
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[2715] | 44 | CONTAINS |
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[458] | 45 | |
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[10884] | 46 | SUBROUTINE tra_zdf( kt, Kbb, Kmm, Krhs, pts, Kaa ) |
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[458] | 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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[10884] | 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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[6140] | 55 | ! |
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[9019] | 56 | INTEGER :: jk ! Dummy loop indices |
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| 57 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdt, ztrds ! 3D workspace |
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[458] | 58 | !!--------------------------------------------------------------------- |
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[3294] | 59 | ! |
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[9019] | 60 | IF( ln_timing ) CALL timing_start('tra_zdf') |
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[3294] | 61 | ! |
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[9124] | 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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[9019] | 68 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; r2dt = rdt ! at nit000, = rdt (restarting with Euler time stepping) |
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| 69 | ELSEIF( kt <= nit000 + 1 ) THEN ; r2dt = 2. * rdt ! otherwise, = 2 rdt (leapfrog) |
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[458] | 70 | ENDIF |
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[6140] | 71 | ! |
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[9019] | 72 | IF( l_trdtra ) THEN !* Save ta and sa trends |
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| 73 | ALLOCATE( ztrdt(jpi,jpj,jpk) , ztrds(jpi,jpj,jpk) ) |
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[10884] | 74 | ztrdt(:,:,:) = pts(:,:,:,jp_tem,Kaa) |
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| 75 | ztrds(:,:,:) = pts(:,:,:,jp_sal,Kaa) |
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[458] | 76 | ENDIF |
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[6140] | 77 | ! |
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[9019] | 78 | ! !* compute lateral mixing trend and add it to the general trend |
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[10893] | 79 | CALL tra_zdf_imp( kt, nit000, 'TRA', r2dt, Kbb, Kmm, Krhs, pts, Kaa, jpts ) |
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[9019] | 80 | |
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[5836] | 81 | !!gm WHY here ! and I don't like that ! |
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[5385] | 82 | ! DRAKKAR SSS control { |
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| 83 | ! JMM avoid negative salinities near river outlet ! Ugly fix |
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| 84 | ! JMM : restore negative salinities to small salinities: |
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[10884] | 85 | WHERE( pts(:,:,:,jp_sal,Kaa) < 0._wp ) pts(:,:,:,jp_sal,Kaa) = 0.1_wp |
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[5836] | 86 | !!gm |
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[458] | 87 | |
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[1110] | 88 | IF( l_trdtra ) THEN ! save the vertical diffusive trends for further diagnostics |
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| 89 | DO jk = 1, jpkm1 |
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[10884] | 90 | ztrdt(:,:,jk) = ( ( pts(:,:,jk,jp_tem,Kaa)*e3t(:,:,jk,Kaa) - pts(:,:,jk,jp_tem,Kbb)*e3t(:,:,jk,Kbb) ) & |
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| 91 | & / (e3t(:,:,jk,Kmm)*r2dt) ) - ztrdt(:,:,jk) |
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| 92 | ztrds(:,:,jk) = ( ( pts(:,:,jk,jp_sal,Kaa)*e3t(:,:,jk,Kaa) - pts(:,:,jk,jp_sal,Kbb)*e3t(:,:,jk,Kbb) ) & |
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| 93 | & / (e3t(:,:,jk,Kmm)*r2dt) ) - ztrds(:,:,jk) |
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[1110] | 94 | END DO |
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[5836] | 95 | !!gm this should be moved in trdtra.F90 and done on all trends |
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[10425] | 96 | CALL lbc_lnk_multi( 'trazdf', ztrdt, 'T', 1. , ztrds, 'T', 1. ) |
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[5836] | 97 | !!gm |
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[4990] | 98 | CALL trd_tra( kt, 'TRA', jp_tem, jptra_zdf, ztrdt ) |
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| 99 | CALL trd_tra( kt, 'TRA', jp_sal, jptra_zdf, ztrds ) |
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[9019] | 100 | DEALLOCATE( ztrdt , ztrds ) |
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[1110] | 101 | ENDIF |
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| 102 | ! ! print mean trends (used for debugging) |
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[2528] | 103 | IF(ln_ctl) CALL prt_ctl( tab3d_1=tsa(:,:,:,jp_tem), clinfo1=' zdf - Ta: ', mask1=tmask, & |
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| 104 | & tab3d_2=tsa(:,:,:,jp_sal), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
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[2715] | 105 | ! |
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[9019] | 106 | IF( ln_timing ) CALL timing_stop('tra_zdf') |
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[3294] | 107 | ! |
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[458] | 108 | END SUBROUTINE tra_zdf |
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| 109 | |
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[9019] | 110 | |
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[10893] | 111 | SUBROUTINE tra_zdf_imp( kt, kit000, cdtype, p2dt, Kbb, Kmm, Krhs, pt, Kaa, kjpt ) |
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[458] | 112 | !!---------------------------------------------------------------------- |
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[9019] | 113 | !! *** ROUTINE tra_zdf_imp *** |
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[458] | 114 | !! |
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[9019] | 115 | !! ** Purpose : Compute the after tracer through a implicit computation |
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| 116 | !! of the vertical tracer diffusion (including the vertical component |
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| 117 | !! of lateral mixing (only for 2nd order operator, for fourth order |
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| 118 | !! it is already computed and add to the general trend in traldf) |
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[458] | 119 | !! |
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[9019] | 120 | !! ** Method : The vertical diffusion of a tracer ,t , is given by: |
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| 121 | !! difft = dz( avt dz(t) ) = 1/e3t dk+1( avt/e3w dk(t) ) |
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| 122 | !! It is computed using a backward time scheme (t=after field) |
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| 123 | !! which provide directly the after tracer field. |
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| 124 | !! If ln_zdfddm=T, use avs for salinity or for passive tracers |
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| 125 | !! Surface and bottom boundary conditions: no diffusive flux on |
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| 126 | !! both tracers (bottom, applied through the masked field avt). |
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| 127 | !! If iso-neutral mixing, add to avt the contribution due to lateral mixing. |
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| 128 | !! |
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[10884] | 129 | !! ** Action : - pt(:,:,:,:,Kaa) becomes the after tracer |
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[9019] | 130 | !!--------------------------------------------------------------------- |
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[10884] | 131 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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[10893] | 132 | INTEGER , INTENT(in ) :: Kbb, Kmm, Krhs, Kaa ! ocean time level indices |
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[10884] | 133 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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| 134 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 135 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 136 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
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| 137 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt,jpt), INTENT(inout) :: pt ! tracers and RHS of tracer equation |
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[6140] | 138 | ! |
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[9019] | 139 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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[10364] | 140 | REAL(wp) :: zrhs, zzwi, zzws ! local scalars |
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[9019] | 141 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwi, zwt, zwd, zws |
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| 142 | !!--------------------------------------------------------------------- |
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| 143 | ! |
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| 144 | ! ! ============= ! |
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| 145 | DO jn = 1, kjpt ! tracer loop ! |
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| 146 | ! ! ============= ! |
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| 147 | ! Matrix construction |
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| 148 | ! -------------------- |
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| 149 | ! Build matrix if temperature or salinity (only in double diffusion case) or first passive tracer |
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| 150 | ! |
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| 151 | IF( ( cdtype == 'TRA' .AND. ( jn == jp_tem .OR. ( jn == jp_sal .AND. ln_zdfddm ) ) ) .OR. & |
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| 152 | & ( cdtype == 'TRC' .AND. jn == 1 ) ) THEN |
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[6140] | 153 | ! |
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[9019] | 154 | ! vertical mixing coef.: avt for temperature, avs for salinity and passive tracers |
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| 155 | IF( cdtype == 'TRA' .AND. jn == jp_tem ) THEN ; zwt(:,:,2:jpk) = avt(:,:,2:jpk) |
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| 156 | ELSE ; zwt(:,:,2:jpk) = avs(:,:,2:jpk) |
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| 157 | ENDIF |
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| 158 | zwt(:,:,1) = 0._wp |
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| 159 | ! |
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| 160 | IF( l_ldfslp ) THEN ! isoneutral diffusion: add the contribution |
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| 161 | IF( ln_traldf_msc ) THEN ! MSC iso-neutral operator |
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| 162 | DO jk = 2, jpkm1 |
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| 163 | DO jj = 2, jpjm1 |
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| 164 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 165 | zwt(ji,jj,jk) = zwt(ji,jj,jk) + akz(ji,jj,jk) |
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| 166 | END DO |
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| 167 | END DO |
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| 168 | END DO |
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| 169 | ELSE ! standard or triad iso-neutral operator |
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| 170 | DO jk = 2, jpkm1 |
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| 171 | DO jj = 2, jpjm1 |
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| 172 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 173 | zwt(ji,jj,jk) = zwt(ji,jj,jk) + ah_wslp2(ji,jj,jk) |
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| 174 | END DO |
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| 175 | END DO |
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| 176 | END DO |
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| 177 | ENDIF |
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| 178 | ENDIF |
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| 179 | ! |
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| 180 | ! Diagonal, lower (i), upper (s) (including the bottom boundary condition since avt is masked) |
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[10364] | 181 | IF( ln_zad_Aimp ) THEN ! Adaptive implicit vertical advection |
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| 182 | DO jk = 1, jpkm1 |
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| 183 | DO jj = 2, jpjm1 |
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| 184 | DO ji = fs_2, fs_jpim1 ! vector opt. (ensure same order of calculation as below if wi=0.) |
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[10884] | 185 | zzwi = - p2dt * zwt(ji,jj,jk ) / e3w(ji,jj,jk ,Kmm) |
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| 186 | zzws = - p2dt * zwt(ji,jj,jk+1) / e3w(ji,jj,jk+1,Kmm) |
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| 187 | zwd(ji,jj,jk) = e3t(ji,jj,jk,Kaa) - zzwi - zzws & |
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[10364] | 188 | & + p2dt * ( MAX( wi(ji,jj,jk ) , 0._wp ) - MIN( wi(ji,jj,jk+1) , 0._wp ) ) |
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| 189 | zwi(ji,jj,jk) = zzwi + p2dt * MIN( wi(ji,jj,jk ) , 0._wp ) |
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| 190 | zws(ji,jj,jk) = zzws - p2dt * MAX( wi(ji,jj,jk+1) , 0._wp ) |
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| 191 | END DO |
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| 192 | END DO |
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[9019] | 193 | END DO |
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[10364] | 194 | ELSE |
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| 195 | DO jk = 1, jpkm1 |
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| 196 | DO jj = 2, jpjm1 |
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| 197 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[10884] | 198 | zwi(ji,jj,jk) = - p2dt * zwt(ji,jj,jk ) / e3w(ji,jj,jk,Kmm) |
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| 199 | zws(ji,jj,jk) = - p2dt * zwt(ji,jj,jk+1) / e3w(ji,jj,jk+1,Kmm) |
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| 200 | zwd(ji,jj,jk) = e3t(ji,jj,jk,Kaa) - zwi(ji,jj,jk) - zws(ji,jj,jk) |
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[10364] | 201 | END DO |
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| 202 | END DO |
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| 203 | END DO |
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| 204 | ENDIF |
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[9019] | 205 | ! |
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| 206 | !! Matrix inversion from the first level |
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| 207 | !!---------------------------------------------------------------------- |
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| 208 | ! solve m.x = y where m is a tri diagonal matrix ( jpk*jpk ) |
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| 209 | ! |
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| 210 | ! ( zwd1 zws1 0 0 0 )( zwx1 ) ( zwy1 ) |
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| 211 | ! ( zwi2 zwd2 zws2 0 0 )( zwx2 ) ( zwy2 ) |
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| 212 | ! ( 0 zwi3 zwd3 zws3 0 )( zwx3 )=( zwy3 ) |
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| 213 | ! ( ... )( ... ) ( ... ) |
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| 214 | ! ( 0 0 0 zwik zwdk )( zwxk ) ( zwyk ) |
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| 215 | ! |
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| 216 | ! m is decomposed in the product of an upper and lower triangular matrix. |
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| 217 | ! The 3 diagonal terms are in 3d arrays: zwd, zws, zwi. |
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| 218 | ! Suffices i,s and d indicate "inferior" (below diagonal), diagonal |
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| 219 | ! and "superior" (above diagonal) components of the tridiagonal system. |
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[10874] | 220 | ! The solution will be in the 4d array pta. |
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[9019] | 221 | ! The 3d array zwt is used as a work space array. |
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[10884] | 222 | ! En route to the solution pt(:,:,:,:,Kaa) is used a to evaluate the rhs and then |
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[9019] | 223 | ! used as a work space array: its value is modified. |
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| 224 | ! |
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| 225 | DO jj = 2, jpjm1 !* 1st recurrence: Tk = Dk - Ik Sk-1 / Tk-1 (increasing k) |
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| 226 | DO ji = fs_2, fs_jpim1 ! done one for all passive tracers (so included in the IF instruction) |
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| 227 | zwt(ji,jj,1) = zwd(ji,jj,1) |
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| 228 | END DO |
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| 229 | END DO |
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| 230 | DO jk = 2, jpkm1 |
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| 231 | DO jj = 2, jpjm1 |
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| 232 | DO ji = fs_2, fs_jpim1 |
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| 233 | 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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| 234 | END DO |
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| 235 | END DO |
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| 236 | END DO |
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| 237 | ! |
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| 238 | ENDIF |
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| 239 | ! |
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| 240 | DO jj = 2, jpjm1 !* 2nd recurrence: Zk = Yk - Ik / Tk-1 Zk-1 |
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| 241 | DO ji = fs_2, fs_jpim1 |
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[10893] | 242 | 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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[9019] | 243 | END DO |
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| 244 | END DO |
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| 245 | DO jk = 2, jpkm1 |
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| 246 | DO jj = 2, jpjm1 |
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| 247 | DO ji = fs_2, fs_jpim1 |
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[10893] | 248 | 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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[10884] | 249 | 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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[9019] | 250 | END DO |
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| 251 | END DO |
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| 252 | END DO |
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| 253 | ! |
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| 254 | DO jj = 2, jpjm1 !* 3d recurrence: Xk = (Zk - Sk Xk+1 ) / Tk (result is the after tracer) |
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| 255 | DO ji = fs_2, fs_jpim1 |
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[10884] | 256 | pt(ji,jj,jpkm1,jn,Kaa) = pt(ji,jj,jpkm1,jn,Kaa) / zwt(ji,jj,jpkm1) * tmask(ji,jj,jpkm1) |
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[9019] | 257 | END DO |
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| 258 | END DO |
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| 259 | DO jk = jpk-2, 1, -1 |
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| 260 | DO jj = 2, jpjm1 |
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| 261 | DO ji = fs_2, fs_jpim1 |
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[10884] | 262 | 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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[9019] | 263 | & / zwt(ji,jj,jk) * tmask(ji,jj,jk) |
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| 264 | END DO |
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| 265 | END DO |
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| 266 | END DO |
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| 267 | ! ! ================= ! |
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| 268 | END DO ! end tracer loop ! |
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| 269 | ! ! ================= ! |
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| 270 | END SUBROUTINE tra_zdf_imp |
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[458] | 271 | |
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| 272 | !!============================================================================== |
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| 273 | END MODULE trazdf |
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