[1231] | 1 | MODULE traadv_qck |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE traadv_qck *** |
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[2528] | 4 | !! Ocean tracers: horizontal & vertical advective trend |
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[1231] | 5 | !!============================================================================== |
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[1559] | 6 | !! History : 3.0 ! 2008-07 (G. Reffray) Original code |
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[2528] | 7 | !! 3.3 ! 2010-05 (C.Ethe, G. Madec) merge TRC-TRA + switch from velocity to transport |
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[1231] | 8 | !!---------------------------------------------------------------------- |
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| 9 | |
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| 10 | !!---------------------------------------------------------------------- |
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[2528] | 11 | !! tra_adv_qck : update the tracer trend with the horizontal advection |
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| 12 | !! trends using a 3rd order finite difference scheme |
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| 13 | !! tra_adv_qck_i : apply QUICK scheme in i-direction |
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| 14 | !! tra_adv_qck_j : apply QUICK scheme in j-direction |
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[1559] | 15 | !! tra_adv_cen2_k : 2nd centered scheme for the vertical advection |
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[1231] | 16 | !!---------------------------------------------------------------------- |
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| 17 | USE oce ! ocean dynamics and active tracers |
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| 18 | USE dom_oce ! ocean space and time domain |
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[13516] | 19 | ! TEMP: This change not necessary after trd_tra is tiled |
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| 20 | USE domain, ONLY : dom_tile |
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[4990] | 21 | USE trc_oce ! share passive tracers/Ocean variables |
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| 22 | USE trd_oce ! trends: ocean variables |
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| 23 | USE trdtra ! trends manager: tracers |
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| 24 | USE diaptr ! poleward transport diagnostics |
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[12377] | 25 | USE iom |
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[4990] | 26 | ! |
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[9124] | 27 | USE in_out_manager ! I/O manager |
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[1231] | 28 | USE lib_mpp ! distribued memory computing |
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| 29 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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[3625] | 30 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[1231] | 31 | |
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| 32 | IMPLICIT NONE |
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| 33 | PRIVATE |
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| 34 | |
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[1559] | 35 | PUBLIC tra_adv_qck ! routine called by step.F90 |
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[1231] | 36 | |
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[2528] | 37 | REAL(wp) :: r1_6 = 1./ 6. ! 1/6 ratio |
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[1559] | 38 | |
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[7646] | 39 | LOGICAL :: l_trd ! flag to compute trends |
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| 40 | LOGICAL :: l_ptr ! flag to compute poleward transport |
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| 41 | |
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| 42 | |
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[1231] | 43 | !! * Substitutions |
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[12377] | 44 | # include "do_loop_substitute.h90" |
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[13237] | 45 | # include "domzgr_substitute.h90" |
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[1231] | 46 | !!---------------------------------------------------------------------- |
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[9598] | 47 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[1231] | 48 | !! $Id$ |
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[10068] | 49 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[1231] | 50 | !!---------------------------------------------------------------------- |
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| 51 | CONTAINS |
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| 52 | |
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[12377] | 53 | SUBROUTINE tra_adv_qck ( kt, kit000, cdtype, p2dt, pU, pV, pW, Kbb, Kmm, pt, kjpt, Krhs ) |
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[1231] | 54 | !!---------------------------------------------------------------------- |
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| 55 | !! *** ROUTINE tra_adv_qck *** |
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| 56 | !! |
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| 57 | !! ** Purpose : Compute the now trend due to the advection of tracers |
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| 58 | !! and add it to the general trend of passive tracer equations. |
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| 59 | !! |
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| 60 | !! ** Method : The advection is evaluated by a third order scheme |
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[1559] | 61 | !! For a positive velocity u : u(i)>0 |
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| 62 | !! |--FU--|--FC--|--FD--|------| |
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| 63 | !! i-1 i i+1 i+2 |
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[1231] | 64 | !! |
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[1559] | 65 | !! For a negative velocity u : u(i)<0 |
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| 66 | !! |------|--FD--|--FC--|--FU--| |
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| 67 | !! i-1 i i+1 i+2 |
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| 68 | !! where FU is the second upwind point |
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| 69 | !! FD is the first douwning point |
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| 70 | !! FC is the central point (or the first upwind point) |
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[1231] | 71 | !! |
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[1559] | 72 | !! Flux(i) = u(i) * { 0.5(FC+FD) -0.5C(i)(FD-FC) -((1-C(i))/6)(FU+FD-2FC) } |
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| 73 | !! with C(i)=|u(i)|dx(i)/dt (=Courant number) |
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[1231] | 74 | !! |
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| 75 | !! dt = 2*rdtra and the scalar values are tb and sb |
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| 76 | !! |
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[12377] | 77 | !! On the vertical, the simple centered scheme used pt(:,:,:,:,Kmm) |
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[1231] | 78 | !! |
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[1559] | 79 | !! The fluxes are bounded by the ULTIMATE limiter to |
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| 80 | !! guarantee the monotonicity of the solution and to |
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[1231] | 81 | !! prevent the appearance of spurious numerical oscillations |
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| 82 | !! |
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[12377] | 83 | !! ** Action : - update pt(:,:,:,:,Krhs) with the now advective tracer trends |
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[6140] | 84 | !! - send trends to trdtra module for further diagnostcs (l_trdtra=T) |
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[12377] | 85 | !! - poleward advective heat and salt transport (ln_diaptr=T) |
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[1231] | 86 | !! |
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| 87 | !! ** Reference : Leonard (1979, 1991) |
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| 88 | !!---------------------------------------------------------------------- |
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[12377] | 89 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 90 | INTEGER , INTENT(in ) :: Kbb, Kmm, Krhs ! ocean time level indices |
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| 91 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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| 92 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 93 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 94 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
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[13516] | 95 | ! TEMP: This can be ST_2D(nn_hls) after trd_tra is tiled |
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[12377] | 96 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pU, pV, pW ! 3 ocean volume transport components |
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| 97 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt,jpt), INTENT(inout) :: pt ! tracers and RHS of tracer equation |
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[1231] | 98 | !!---------------------------------------------------------------------- |
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[3294] | 99 | ! |
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[13516] | 100 | IF( ntile == 0 .OR. ntile == 1 ) THEN ! Do only on the first tile |
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| 101 | IF( kt == kit000 ) THEN |
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| 102 | IF(lwp) WRITE(numout,*) |
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| 103 | IF(lwp) WRITE(numout,*) 'tra_adv_qck : 3rd order quickest advection scheme on ', cdtype |
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| 104 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~' |
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| 105 | IF(lwp) WRITE(numout,*) |
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| 106 | ENDIF |
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| 107 | ! |
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| 108 | l_trd = .FALSE. |
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| 109 | l_ptr = .FALSE. |
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| 110 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
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| 111 | IF( cdtype == 'TRA' .AND. ( iom_use( 'sophtadv' ) .OR. iom_use( 'sophtadv' ) ) ) l_ptr = .TRUE. |
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[1231] | 112 | ENDIF |
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[5836] | 113 | ! |
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[4499] | 114 | ! |
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[6140] | 115 | ! ! horizontal fluxes are computed with the QUICKEST + ULTIMATE scheme |
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[12377] | 116 | CALL tra_adv_qck_i( kt, cdtype, p2dt, pU, Kbb, Kmm, pt, kjpt, Krhs ) |
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| 117 | CALL tra_adv_qck_j( kt, cdtype, p2dt, pV, Kbb, Kmm, pt, kjpt, Krhs ) |
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[1231] | 118 | |
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[6140] | 119 | ! ! vertical fluxes are computed with the 2nd order centered scheme |
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[12377] | 120 | CALL tra_adv_cen2_k( kt, cdtype, pW, Kmm, pt, kjpt, Krhs ) |
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[1231] | 121 | ! |
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| 122 | END SUBROUTINE tra_adv_qck |
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| 123 | |
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| 124 | |
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[12377] | 125 | SUBROUTINE tra_adv_qck_i( kt, cdtype, p2dt, pU, Kbb, Kmm, pt, kjpt, Krhs ) |
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[1231] | 126 | !!---------------------------------------------------------------------- |
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| 127 | !! |
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| 128 | !!---------------------------------------------------------------------- |
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[12377] | 129 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 130 | INTEGER , INTENT(in ) :: Kbb, Kmm, Krhs ! ocean time level indices |
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| 131 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 132 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 133 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
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[13516] | 134 | ! TEMP: This can be ST_2D(nn_hls) after trd_tra is tiled |
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[12377] | 135 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pU ! i-velocity components |
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| 136 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt,jpt), INTENT(inout) :: pt ! active tracers and RHS of tracer equation |
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[2528] | 137 | !! |
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[13516] | 138 | ! TEMP: This change not necessary after trd_tra is tiled |
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| 139 | INTEGER :: itile |
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[5836] | 140 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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[6140] | 141 | REAL(wp) :: ztra, zbtr, zdir, zdx, zmsk ! local scalars |
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[13516] | 142 | REAL(wp), DIMENSION(ST_2D(nn_hls),jpk) :: zwx, zfu, zfc, zfd |
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| 143 | ! TEMP: This change not necessary after trd_tra is tiled |
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| 144 | REAL(wp), DIMENSION(:,:,:), SAVE, ALLOCATABLE :: ztrdx |
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[1231] | 145 | !---------------------------------------------------------------------- |
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[13516] | 146 | ! TEMP: This change not necessary after trd_tra is tiled |
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| 147 | itile = ntile |
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[2715] | 148 | ! |
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[13516] | 149 | ! TEMP: This can be ST_2D(nn_hls) after trd_tra is tiled |
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| 150 | IF( ntile == 0 .OR. ntile == 1 ) THEN ! Do only on the first tile |
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| 151 | IF( kt == nit000 .AND. l_trd ) THEN |
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| 152 | ALLOCATE( ztrdx(jpi,jpj,jpk) ) |
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| 153 | ENDIF |
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| 154 | ENDIF |
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[2528] | 155 | ! ! =========== |
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| 156 | DO jn = 1, kjpt ! tracer loop |
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| 157 | ! ! =========== |
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[5836] | 158 | zfu(:,:,:) = 0._wp ; zfc(:,:,:) = 0._wp |
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| 159 | zfd(:,:,:) = 0._wp ; zwx(:,:,:) = 0._wp |
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| 160 | ! |
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| 161 | !!gm why not using a SHIFT instruction... |
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[13295] | 162 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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[12377] | 163 | zfc(ji,jj,jk) = pt(ji-1,jj,jk,jn,Kbb) ! Upstream in the x-direction for the tracer |
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| 164 | zfd(ji,jj,jk) = pt(ji+1,jj,jk,jn,Kbb) ! Downstream in the x-direction for the tracer |
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| 165 | END_3D |
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[13226] | 166 | CALL lbc_lnk_multi( 'traadv_qck', zfc(:,:,:), 'T', 1.0_wp , zfd(:,:,:), 'T', 1.0_wp ) ! Lateral boundary conditions |
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[2528] | 167 | |
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[1231] | 168 | ! |
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| 169 | ! Horizontal advective fluxes |
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| 170 | ! --------------------------- |
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[13295] | 171 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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[13226] | 172 | zdir = 0.5 + SIGN( 0.5_wp, pU(ji,jj,jk) ) ! if pU > 0 : zdir = 1 otherwise zdir = 0 |
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[12377] | 173 | zfu(ji,jj,jk) = zdir * zfc(ji,jj,jk ) + ( 1. - zdir ) * zfd(ji+1,jj,jk) ! FU in the x-direction for T |
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| 174 | END_3D |
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[1231] | 175 | ! |
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[13295] | 176 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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[13226] | 177 | zdir = 0.5 + SIGN( 0.5_wp, pU(ji,jj,jk) ) ! if pU > 0 : zdir = 1 otherwise zdir = 0 |
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[12377] | 178 | zdx = ( zdir * e1t(ji,jj) + ( 1. - zdir ) * e1t(ji+1,jj) ) * e2u(ji,jj) * e3u(ji,jj,jk,Kmm) |
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| 179 | zwx(ji,jj,jk) = ABS( pU(ji,jj,jk) ) * p2dt / zdx ! (0<zc_cfl<1 : Courant number on x-direction) |
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| 180 | zfc(ji,jj,jk) = zdir * pt(ji ,jj,jk,jn,Kbb) + ( 1. - zdir ) * pt(ji+1,jj,jk,jn,Kbb) ! FC in the x-direction for T |
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| 181 | zfd(ji,jj,jk) = zdir * pt(ji+1,jj,jk,jn,Kbb) + ( 1. - zdir ) * pt(ji ,jj,jk,jn,Kbb) ! FD in the x-direction for T |
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| 182 | END_3D |
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[2528] | 183 | !--- Lateral boundary conditions |
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[13226] | 184 | CALL lbc_lnk_multi( 'traadv_qck', zfu(:,:,:), 'T', 1.0_wp , zfd(:,:,:), 'T', 1.0_wp, zfc(:,:,:), 'T', 1.0_wp, zwx(:,:,:), 'T', 1.0_wp ) |
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[2528] | 185 | |
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[1231] | 186 | !--- QUICKEST scheme |
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[2528] | 187 | CALL quickest( zfu, zfd, zfc, zwx ) |
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[1231] | 188 | ! |
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[2528] | 189 | ! Mask at the T-points in the x-direction (mask=0 or mask=1) |
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[13295] | 190 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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[12377] | 191 | zfu(ji,jj,jk) = tmask(ji-1,jj,jk) + tmask(ji,jj,jk) + tmask(ji+1,jj,jk) - 2. |
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| 192 | END_3D |
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[13226] | 193 | CALL lbc_lnk( 'traadv_qck', zfu(:,:,:), 'T', 1.0_wp ) ! Lateral boundary conditions |
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[2528] | 194 | |
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[1231] | 195 | ! |
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[2528] | 196 | ! Tracer flux on the x-direction |
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| 197 | DO jk = 1, jpkm1 |
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| 198 | ! |
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[13295] | 199 | DO_2D( 0, 0, 0, 0 ) |
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[13226] | 200 | zdir = 0.5 + SIGN( 0.5_wp, pU(ji,jj,jk) ) ! if pU > 0 : zdir = 1 otherwise zdir = 0 |
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[12377] | 201 | !--- If the second ustream point is a land point |
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| 202 | !--- the flux is computed by the 1st order UPWIND scheme |
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| 203 | zmsk = zdir * zfu(ji,jj,jk) + ( 1. - zdir ) * zfu(ji+1,jj,jk) |
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| 204 | zwx(ji,jj,jk) = zmsk * zwx(ji,jj,jk) + ( 1. - zmsk ) * zfc(ji,jj,jk) |
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| 205 | zwx(ji,jj,jk) = zwx(ji,jj,jk) * pU(ji,jj,jk) |
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| 206 | END_2D |
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[3300] | 207 | END DO |
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| 208 | ! |
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[13226] | 209 | CALL lbc_lnk( 'traadv_qck', zwx(:,:,:), 'T', 1.0_wp ) ! Lateral boundary conditions |
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[3300] | 210 | ! |
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| 211 | ! Computation of the trend |
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[13295] | 212 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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[12377] | 213 | zbtr = r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm) |
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| 214 | ! horizontal advective trends |
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| 215 | ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji-1,jj,jk) ) |
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| 216 | !--- add it to the general tracer trends |
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| 217 | pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) + ztra |
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| 218 | END_3D |
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[6140] | 219 | ! ! trend diagnostics |
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[13516] | 220 | ! TEMP: These changes not necessary after trd_tra is tiled |
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| 221 | IF( l_trd ) THEN |
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| 222 | DO_3D( 1, 0, 1, 0, 1, jpk ) |
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| 223 | ztrdx(ji,jj,jk) = zwx(ji,jj,jk) |
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| 224 | END_3D |
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| 225 | |
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| 226 | IF( ntile == 0 .OR. ntile == nijtile ) THEN ! Do only for the full domain |
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| 227 | IF( ln_tile ) CALL dom_tile( ntsi, ntsj, ntei, ntej, ktile = 0 ) ! Use full domain |
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| 228 | |
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| 229 | ! TODO: TO BE TILED- trd_tra |
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| 230 | CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_xad, ztrdx, pU, pt(:,:,:,jn,Kmm) ) |
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| 231 | |
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| 232 | IF( ln_tile ) CALL dom_tile( ntsi, ntsj, ntei, ntej, ktile = itile ) ! Revert to tile domain |
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| 233 | ENDIF |
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| 234 | ENDIF |
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[2528] | 235 | ! |
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| 236 | END DO |
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| 237 | ! |
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[1559] | 238 | END SUBROUTINE tra_adv_qck_i |
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[1231] | 239 | |
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| 240 | |
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[12377] | 241 | SUBROUTINE tra_adv_qck_j( kt, cdtype, p2dt, pV, Kbb, Kmm, pt, kjpt, Krhs ) |
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[1231] | 242 | !!---------------------------------------------------------------------- |
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| 243 | !! |
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| 244 | !!---------------------------------------------------------------------- |
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[12377] | 245 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 246 | INTEGER , INTENT(in ) :: Kbb, Kmm, Krhs ! ocean time level indices |
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| 247 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 248 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 249 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
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[13516] | 250 | ! TEMP: This can be ST_2D(nn_hls) after trd_tra is tiled |
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[12377] | 251 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pV ! j-velocity components |
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| 252 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt,jpt), INTENT(inout) :: pt ! active tracers and RHS of tracer equation |
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[1559] | 253 | !! |
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[13516] | 254 | ! TEMP: This change not necessary after trd_tra is tiled |
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| 255 | INTEGER :: itile |
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[9019] | 256 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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[6140] | 257 | REAL(wp) :: ztra, zbtr, zdir, zdx, zmsk ! local scalars |
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[13516] | 258 | REAL(wp), DIMENSION(ST_2D(nn_hls),jpk) :: zwy, zfu, zfc, zfd ! 3D workspace |
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| 259 | ! TEMP: This change not necessary after trd_tra is tiled |
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| 260 | REAL(wp), DIMENSION(:,:,:), SAVE, ALLOCATABLE :: ztrdy |
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[1231] | 261 | !---------------------------------------------------------------------- |
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[13516] | 262 | ! TEMP: This change not necessary after trd_tra is tiled |
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| 263 | itile = ntile |
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[2715] | 264 | ! |
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[13516] | 265 | ! TEMP: This can be ST_2D(nn_hls) after trd_tra is tiled |
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| 266 | IF( ntile == 0 .OR. ntile == 1 ) THEN ! Do only on the first tile |
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| 267 | IF( kt == nit000 .AND. l_trd ) THEN |
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| 268 | ALLOCATE( ztrdy(jpi,jpj,jpk) ) |
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| 269 | ENDIF |
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| 270 | ENDIF |
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[2528] | 271 | ! ! =========== |
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| 272 | DO jn = 1, kjpt ! tracer loop |
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| 273 | ! ! =========== |
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| 274 | zfu(:,:,:) = 0.0 ; zfc(:,:,:) = 0.0 |
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| 275 | zfd(:,:,:) = 0.0 ; zwy(:,:,:) = 0.0 |
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| 276 | ! |
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| 277 | DO jk = 1, jpkm1 |
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| 278 | ! |
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| 279 | !--- Computation of the ustream and downstream value of the tracer and the mask |
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[13295] | 280 | DO_2D( 0, 0, 0, 0 ) |
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[12377] | 281 | ! Upstream in the x-direction for the tracer |
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| 282 | zfc(ji,jj,jk) = pt(ji,jj-1,jk,jn,Kbb) |
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| 283 | ! Downstream in the x-direction for the tracer |
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| 284 | zfd(ji,jj,jk) = pt(ji,jj+1,jk,jn,Kbb) |
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| 285 | END_2D |
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[1559] | 286 | END DO |
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[13226] | 287 | CALL lbc_lnk_multi( 'traadv_qck', zfc(:,:,:), 'T', 1.0_wp , zfd(:,:,:), 'T', 1.0_wp ) ! Lateral boundary conditions |
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[2528] | 288 | |
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| 289 | |
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[1231] | 290 | ! |
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| 291 | ! Horizontal advective fluxes |
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| 292 | ! --------------------------- |
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| 293 | ! |
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[13295] | 294 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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[13226] | 295 | zdir = 0.5 + SIGN( 0.5_wp, pV(ji,jj,jk) ) ! if pU > 0 : zdir = 1 otherwise zdir = 0 |
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[12377] | 296 | zfu(ji,jj,jk) = zdir * zfc(ji,jj,jk ) + ( 1. - zdir ) * zfd(ji,jj+1,jk) ! FU in the x-direction for T |
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| 297 | END_3D |
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[1231] | 298 | ! |
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[13295] | 299 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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[13226] | 300 | zdir = 0.5 + SIGN( 0.5_wp, pV(ji,jj,jk) ) ! if pU > 0 : zdir = 1 otherwise zdir = 0 |
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[12377] | 301 | zdx = ( zdir * e2t(ji,jj) + ( 1. - zdir ) * e2t(ji,jj+1) ) * e1v(ji,jj) * e3v(ji,jj,jk,Kmm) |
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| 302 | zwy(ji,jj,jk) = ABS( pV(ji,jj,jk) ) * p2dt / zdx ! (0<zc_cfl<1 : Courant number on x-direction) |
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| 303 | zfc(ji,jj,jk) = zdir * pt(ji,jj ,jk,jn,Kbb) + ( 1. - zdir ) * pt(ji,jj+1,jk,jn,Kbb) ! FC in the x-direction for T |
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| 304 | zfd(ji,jj,jk) = zdir * pt(ji,jj+1,jk,jn,Kbb) + ( 1. - zdir ) * pt(ji,jj ,jk,jn,Kbb) ! FD in the x-direction for T |
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| 305 | END_3D |
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[2528] | 306 | |
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| 307 | !--- Lateral boundary conditions |
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[13226] | 308 | CALL lbc_lnk_multi( 'traadv_qck', zfu(:,:,:), 'T', 1.0_wp , zfd(:,:,:), 'T', 1.0_wp, zfc(:,:,:), 'T', 1.0_wp, zwy(:,:,:), 'T', 1.0_wp ) |
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[2528] | 309 | |
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[1231] | 310 | !--- QUICKEST scheme |
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[2528] | 311 | CALL quickest( zfu, zfd, zfc, zwy ) |
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[1231] | 312 | ! |
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[2528] | 313 | ! Mask at the T-points in the x-direction (mask=0 or mask=1) |
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[13295] | 314 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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[12377] | 315 | zfu(ji,jj,jk) = tmask(ji,jj-1,jk) + tmask(ji,jj,jk) + tmask(ji,jj+1,jk) - 2. |
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| 316 | END_3D |
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[13226] | 317 | CALL lbc_lnk( 'traadv_qck', zfu(:,:,:), 'T', 1.0_wp ) !--- Lateral boundary conditions |
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[2528] | 318 | ! |
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| 319 | ! Tracer flux on the x-direction |
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| 320 | DO jk = 1, jpkm1 |
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| 321 | ! |
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[13295] | 322 | DO_2D( 0, 0, 0, 0 ) |
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[13226] | 323 | zdir = 0.5 + SIGN( 0.5_wp, pV(ji,jj,jk) ) ! if pU > 0 : zdir = 1 otherwise zdir = 0 |
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[12377] | 324 | !--- If the second ustream point is a land point |
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| 325 | !--- the flux is computed by the 1st order UPWIND scheme |
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| 326 | zmsk = zdir * zfu(ji,jj,jk) + ( 1. - zdir ) * zfu(ji,jj+1,jk) |
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| 327 | zwy(ji,jj,jk) = zmsk * zwy(ji,jj,jk) + ( 1. - zmsk ) * zfc(ji,jj,jk) |
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| 328 | zwy(ji,jj,jk) = zwy(ji,jj,jk) * pV(ji,jj,jk) |
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| 329 | END_2D |
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[3300] | 330 | END DO |
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| 331 | ! |
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[13226] | 332 | CALL lbc_lnk( 'traadv_qck', zwy(:,:,:), 'T', 1.0_wp ) ! Lateral boundary conditions |
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[3300] | 333 | ! |
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| 334 | ! Computation of the trend |
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[13295] | 335 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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[12377] | 336 | zbtr = r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm) |
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| 337 | ! horizontal advective trends |
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| 338 | ztra = - zbtr * ( zwy(ji,jj,jk) - zwy(ji,jj-1,jk) ) |
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| 339 | !--- add it to the general tracer trends |
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| 340 | pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) + ztra |
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| 341 | END_3D |
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[6140] | 342 | ! ! trend diagnostics |
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[13516] | 343 | ! TEMP: These changes not necessary after trd_tra is tiled |
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| 344 | IF( l_trd ) THEN |
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| 345 | DO_3D( 1, 0, 1, 0, 1, jpk ) |
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| 346 | ztrdy(ji,jj,jk) = zwy(ji,jj,jk) |
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| 347 | END_3D |
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| 348 | |
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| 349 | IF( ntile == 0 .OR. ntile == nijtile ) THEN ! Do only for the full domain |
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| 350 | IF( ln_tile ) CALL dom_tile( ntsi, ntsj, ntei, ntej, ktile = 0 ) ! Use full domain |
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| 351 | |
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| 352 | ! TODO: TO BE TILED- trd_tra |
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| 353 | CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_yad, ztrdy, pV, pt(:,:,:,jn,Kmm) ) |
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| 354 | |
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| 355 | IF( ln_tile ) CALL dom_tile( ntsi, ntsj, ntei, ntej, ktile = itile ) ! Revert to tile domain |
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| 356 | ENDIF |
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| 357 | ENDIF |
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[2528] | 358 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
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[9019] | 359 | IF( l_ptr ) CALL dia_ptr_hst( jn, 'adv', zwy(:,:,:) ) |
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[2528] | 360 | ! |
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| 361 | END DO |
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| 362 | ! |
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[1559] | 363 | END SUBROUTINE tra_adv_qck_j |
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[1231] | 364 | |
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| 365 | |
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[12377] | 366 | SUBROUTINE tra_adv_cen2_k( kt, cdtype, pW, Kmm, pt, kjpt, Krhs ) |
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[1231] | 367 | !!---------------------------------------------------------------------- |
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| 368 | !! |
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| 369 | !!---------------------------------------------------------------------- |
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[12377] | 370 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 371 | INTEGER , INTENT(in ) :: Kmm, Krhs ! ocean time level indices |
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| 372 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 373 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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[13516] | 374 | ! TEMP: This can be ST_2D(nn_hls) after trd_tra is tiled |
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| 375 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pW ! vertical velocity |
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[12377] | 376 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt,jpt), INTENT(inout) :: pt ! active tracers and RHS of tracer equation |
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[2715] | 377 | ! |
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[13516] | 378 | ! TEMP: This change not necessary after trd_tra is tiled |
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| 379 | INTEGER :: itile |
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[2528] | 380 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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[13516] | 381 | REAL(wp), DIMENSION(ST_2D(nn_hls),jpk) :: zwz ! 3D workspace |
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| 382 | ! TEMP: This change not necessary after trd_tra is tiled |
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| 383 | REAL(wp), DIMENSION(:,:,:), SAVE, ALLOCATABLE :: ztrdz |
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[1559] | 384 | !!---------------------------------------------------------------------- |
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[13516] | 385 | ! TEMP: This change not necessary after trd_tra is tiled |
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| 386 | itile = ntile |
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[4990] | 387 | ! |
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[13516] | 388 | ! TEMP: This can be ST_2D(nn_hls) after trd_tra is tiled |
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| 389 | IF( ntile == 0 .OR. ntile == 1 ) THEN ! Do only on the first tile |
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| 390 | IF( kt == nit000 .AND. l_trd ) THEN |
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| 391 | ALLOCATE( ztrdz(jpi,jpj,jpk) ) |
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| 392 | ENDIF |
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| 393 | ENDIF |
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| 394 | |
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[6140] | 395 | zwz(:,:, 1 ) = 0._wp ! surface & bottom values set to zero for all tracers |
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| 396 | zwz(:,:,jpk) = 0._wp |
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[5836] | 397 | ! |
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[2528] | 398 | ! ! =========== |
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| 399 | DO jn = 1, kjpt ! tracer loop |
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| 400 | ! ! =========== |
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| 401 | ! |
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[13295] | 402 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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[12377] | 403 | zwz(ji,jj,jk) = 0.5 * pW(ji,jj,jk) * ( pt(ji,jj,jk-1,jn,Kmm) + pt(ji,jj,jk,jn,Kmm) ) * wmask(ji,jj,jk) |
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| 404 | END_3D |
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[6140] | 405 | IF( ln_linssh ) THEN !* top value (only in linear free surf. as zwz is multiplied by wmask) |
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[13516] | 406 | ! TODO: NOT TESTED- requires isf |
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[5836] | 407 | IF( ln_isfcav ) THEN ! ice-shelf cavities (top of the ocean) |
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[13295] | 408 | DO_2D( 1, 1, 1, 1 ) |
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[12377] | 409 | zwz(ji,jj, mikt(ji,jj) ) = pW(ji,jj,mikt(ji,jj)) * pt(ji,jj,mikt(ji,jj),jn,Kmm) ! linear free surface |
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| 410 | END_2D |
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[6140] | 411 | ELSE ! no ocean cavities (only ocean surface) |
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[13516] | 412 | DO_2D( 1, 1, 1, 1 ) |
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| 413 | zwz(ji,jj,1) = pW(ji,jj,1) * pt(ji,jj,1,jn,Kmm) |
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| 414 | END_2D |
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[5836] | 415 | ENDIF |
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| 416 | ENDIF |
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[2528] | 417 | ! |
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[13295] | 418 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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[12377] | 419 | pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) - ( zwz(ji,jj,jk) - zwz(ji,jj,jk+1) ) & |
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| 420 | & * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm) |
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| 421 | END_3D |
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[6140] | 422 | ! ! Send trends for diagnostic |
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[13516] | 423 | ! TEMP: These changes not necessary after trd_tra is tiled |
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| 424 | IF( l_trd ) THEN |
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| 425 | DO_3D( 0, 0, 0, 0, 1, jpk ) |
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| 426 | ztrdz(ji,jj,jk) = zwz(ji,jj,jk) |
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| 427 | END_3D |
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| 428 | |
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| 429 | IF( ntile == 0 .OR. ntile == nijtile ) THEN ! Do only for the full domain |
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| 430 | IF( ln_tile ) CALL dom_tile( ntsi, ntsj, ntei, ntej, ktile = 0 ) ! Use full domain |
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| 431 | |
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| 432 | ! TODO: TO BE TILED- trd_tra |
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| 433 | CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_zad, ztrdz, pW, pt(:,:,:,jn,Kmm) ) |
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| 434 | |
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| 435 | IF( ln_tile ) CALL dom_tile( ntsi, ntsj, ntei, ntej, ktile = itile ) ! Revert to tile domain |
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| 436 | ENDIF |
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| 437 | ENDIF |
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[2528] | 438 | ! |
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[1231] | 439 | END DO |
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| 440 | ! |
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[1559] | 441 | END SUBROUTINE tra_adv_cen2_k |
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[1231] | 442 | |
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| 443 | |
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[2528] | 444 | SUBROUTINE quickest( pfu, pfd, pfc, puc ) |
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[1231] | 445 | !!---------------------------------------------------------------------- |
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| 446 | !! |
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[2528] | 447 | !! ** Purpose : Computation of advective flux with Quickest scheme |
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| 448 | !! |
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| 449 | !! ** Method : |
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[1231] | 450 | !!---------------------------------------------------------------------- |
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[13516] | 451 | REAL(wp), DIMENSION(ST_2D(nn_hls),jpk), INTENT(in ) :: pfu ! second upwind point |
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| 452 | REAL(wp), DIMENSION(ST_2D(nn_hls),jpk), INTENT(in ) :: pfd ! first douwning point |
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| 453 | REAL(wp), DIMENSION(ST_2D(nn_hls),jpk), INTENT(in ) :: pfc ! the central point (or the first upwind point) |
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| 454 | REAL(wp), DIMENSION(ST_2D(nn_hls),jpk), INTENT(inout) :: puc ! input as Courant number ; output as flux |
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[2528] | 455 | !! |
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| 456 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 457 | REAL(wp) :: zcoef1, zcoef2, zcoef3 ! local scalars |
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| 458 | REAL(wp) :: zc, zcurv, zfho ! - - |
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| 459 | !---------------------------------------------------------------------- |
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[3294] | 460 | ! |
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[13295] | 461 | DO_3D( 1, 1, 1, 1, 1, jpkm1 ) |
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[12377] | 462 | zc = puc(ji,jj,jk) ! Courant number |
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| 463 | zcurv = pfd(ji,jj,jk) + pfu(ji,jj,jk) - 2. * pfc(ji,jj,jk) |
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| 464 | zcoef1 = 0.5 * ( pfc(ji,jj,jk) + pfd(ji,jj,jk) ) |
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| 465 | zcoef2 = 0.5 * zc * ( pfd(ji,jj,jk) - pfc(ji,jj,jk) ) |
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| 466 | zcoef3 = ( 1. - ( zc * zc ) ) * r1_6 * zcurv |
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| 467 | zfho = zcoef1 - zcoef2 - zcoef3 ! phi_f QUICKEST |
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| 468 | ! |
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| 469 | zcoef1 = pfd(ji,jj,jk) - pfu(ji,jj,jk) |
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| 470 | zcoef2 = ABS( zcoef1 ) |
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| 471 | zcoef3 = ABS( zcurv ) |
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| 472 | IF( zcoef3 >= zcoef2 ) THEN |
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| 473 | zfho = pfc(ji,jj,jk) |
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| 474 | ELSE |
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| 475 | zcoef3 = pfu(ji,jj,jk) + ( ( pfc(ji,jj,jk) - pfu(ji,jj,jk) ) / MAX( zc, 1.e-9 ) ) ! phi_REF |
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| 476 | IF( zcoef1 >= 0. ) THEN |
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| 477 | zfho = MAX( pfc(ji,jj,jk), zfho ) |
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| 478 | zfho = MIN( zfho, MIN( zcoef3, pfd(ji,jj,jk) ) ) |
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| 479 | ELSE |
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| 480 | zfho = MIN( pfc(ji,jj,jk), zfho ) |
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| 481 | zfho = MAX( zfho, MAX( zcoef3, pfd(ji,jj,jk) ) ) |
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| 482 | ENDIF |
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| 483 | ENDIF |
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| 484 | puc(ji,jj,jk) = zfho |
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| 485 | END_3D |
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[1231] | 486 | ! |
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| 487 | END SUBROUTINE quickest |
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| 488 | |
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| 489 | !!====================================================================== |
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| 490 | END MODULE traadv_qck |
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