[5770] | 1 | MODULE traadv_fct |
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[3] | 2 | !!============================================================================== |
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[5770] | 3 | !! *** MODULE traadv_fct *** |
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| 4 | !! Ocean tracers: horizontal & vertical advective trend (2nd/4th order Flux Corrected Transport method) |
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[3] | 5 | !!============================================================================== |
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[5770] | 6 | !! History : 3.7 ! 2015-09 (L. Debreu, G. Madec) original code (inspired from traadv_tvd.F90) |
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[503] | 7 | !!---------------------------------------------------------------------- |
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[3] | 8 | |
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| 9 | !!---------------------------------------------------------------------- |
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[5770] | 10 | !! tra_adv_fct : update the tracer trend with a 3D advective trends using a 2nd or 4th order FCT scheme |
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| 11 | !! with sub-time-stepping in the vertical direction |
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| 12 | !! nonosc : compute monotonic tracer fluxes by a non-oscillatory algorithm |
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| 13 | !! interp_4th_cpt : 4th order compact scheme for the vertical component of the advection |
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[3] | 14 | !!---------------------------------------------------------------------- |
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[3625] | 15 | USE oce ! ocean dynamics and active tracers |
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| 16 | USE dom_oce ! ocean space and time domain |
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[4990] | 17 | USE trc_oce ! share passive tracers/Ocean variables |
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| 18 | USE trd_oce ! trends: ocean variables |
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[3625] | 19 | USE trdtra ! tracers trends |
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[4990] | 20 | USE diaptr ! poleward transport diagnostics |
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[7646] | 21 | USE diaar5 ! AR5 diagnostics |
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[12489] | 22 | USE phycst , ONLY : rho0_rcp |
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[11407] | 23 | USE zdf_oce , ONLY : ln_zad_Aimp |
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[4990] | 24 | ! |
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[5770] | 25 | USE in_out_manager ! I/O manager |
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[9019] | 26 | USE iom ! |
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[3625] | 27 | USE lib_mpp ! MPP library |
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| 28 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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[5770] | 29 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[3] | 30 | |
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| 31 | IMPLICIT NONE |
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| 32 | PRIVATE |
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| 33 | |
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[9019] | 34 | PUBLIC tra_adv_fct ! called by traadv.F90 |
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| 35 | PUBLIC interp_4th_cpt ! called by traadv_cen.F90 |
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[13991] | 36 | PUBLIC tridia_solver ! called by traadv_fct_lf.F90 |
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| 37 | PUBLIC nonosc ! called by traadv_fct_lf.F90 - key_agrif |
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[3] | 38 | |
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[5770] | 39 | LOGICAL :: l_trd ! flag to compute trends |
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[7646] | 40 | LOGICAL :: l_ptr ! flag to compute poleward transport |
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| 41 | LOGICAL :: l_hst ! flag to compute heat/salt transport |
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[5770] | 42 | REAL(wp) :: r1_6 = 1._wp / 6._wp ! =1/6 |
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[2528] | 43 | |
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[7646] | 44 | ! ! tridiag solver associated indices: |
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| 45 | INTEGER, PARAMETER :: np_NH = 0 ! Neumann homogeneous boundary condition |
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| 46 | INTEGER, PARAMETER :: np_CEN2 = 1 ! 2nd order centered boundary condition |
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| 47 | |
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[3] | 48 | !! * Substitutions |
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[12377] | 49 | # include "do_loop_substitute.h90" |
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[13237] | 50 | # include "domzgr_substitute.h90" |
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[3] | 51 | !!---------------------------------------------------------------------- |
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[9598] | 52 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[1152] | 53 | !! $Id$ |
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[10068] | 54 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[3] | 55 | !!---------------------------------------------------------------------- |
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| 56 | CONTAINS |
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| 57 | |
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[12377] | 58 | SUBROUTINE tra_adv_fct( kt, kit000, cdtype, p2dt, pU, pV, pW, & |
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| 59 | & Kbb, Kmm, pt, kjpt, Krhs, kn_fct_h, kn_fct_v ) |
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[3] | 60 | !!---------------------------------------------------------------------- |
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[5770] | 61 | !! *** ROUTINE tra_adv_fct *** |
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[3] | 62 | !! |
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[6140] | 63 | !! ** Purpose : Compute the now trend due to total advection of tracers |
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| 64 | !! and add it to the general trend of tracer equations |
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[3] | 65 | !! |
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[5770] | 66 | !! ** Method : - 2nd or 4th FCT scheme on the horizontal direction |
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| 67 | !! (choice through the value of kn_fct) |
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[6140] | 68 | !! - on the vertical the 4th order is a compact scheme |
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[5770] | 69 | !! - corrected flux (monotonic correction) |
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[3] | 70 | !! |
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[12377] | 71 | !! ** Action : - update pt(:,:,:,:,Krhs) with the now advective tracer trends |
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[9019] | 72 | !! - send trends to trdtra module for further diagnostics (l_trdtra=T) |
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[12377] | 73 | !! - poleward advective heat and salt transport (ln_diaptr=T) |
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[503] | 74 | !!---------------------------------------------------------------------- |
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[12377] | 75 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 76 | INTEGER , INTENT(in ) :: Kbb, Kmm, Krhs ! ocean time level indices |
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| 77 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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| 78 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 79 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 80 | INTEGER , INTENT(in ) :: kn_fct_h ! order of the FCT scheme (=2 or 4) |
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| 81 | INTEGER , INTENT(in ) :: kn_fct_v ! order of the FCT scheme (=2 or 4) |
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| 82 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
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[13991] | 83 | ! TEMP: [tiling] This can be A2D(nn_hls) if using XIOS (subdomain support) |
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| 84 | ! NOTE: [tiling-comms-merge] These were changed to INTENT(inout) but they are not modified, so it is reverted |
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[12377] | 85 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pU, pV, pW ! 3 ocean volume flux components |
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| 86 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt,jpt), INTENT(inout) :: pt ! tracers and RHS of tracer equation |
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[2715] | 87 | ! |
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[13991] | 88 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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[6140] | 89 | REAL(wp) :: ztra ! local scalar |
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[5770] | 90 | REAL(wp) :: zfp_ui, zfp_vj, zfp_wk, zC2t_u, zC4t_u ! - - |
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| 91 | REAL(wp) :: zfm_ui, zfm_vj, zfm_wk, zC2t_v, zC4t_v ! - - |
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[13991] | 92 | REAL(wp), DIMENSION(A2D(nn_hls),jpk) :: zwi, zwx, zwy, zwz, ztu, ztv, zltu, zltv, ztw |
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[9019] | 93 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdx, ztrdy, ztrdz, zptry |
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[11407] | 94 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: zwinf, zwdia, zwsup |
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| 95 | LOGICAL :: ll_zAimp ! flag to apply adaptive implicit vertical advection |
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[3] | 96 | !!---------------------------------------------------------------------- |
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[3294] | 97 | ! |
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[13991] | 98 | IF( ntile == 0 .OR. ntile == 1 ) THEN ! Do only on the first tile |
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| 99 | IF( kt == kit000 ) THEN |
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| 100 | IF(lwp) WRITE(numout,*) |
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| 101 | IF(lwp) WRITE(numout,*) 'tra_adv_fct : FCT advection scheme on ', cdtype |
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| 102 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 103 | ENDIF |
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| 104 | ! NOTE: [tiling-comms-merge] Bug fix- move array zeroing out of this IF block |
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| 105 | ! |
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| 106 | l_trd = .FALSE. ! set local switches |
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| 107 | l_hst = .FALSE. |
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| 108 | l_ptr = .FALSE. |
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| 109 | ll_zAimp = .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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| 112 | IF( cdtype == 'TRA' .AND. ( iom_use("uadv_heattr") .OR. iom_use("vadv_heattr") .OR. & |
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| 113 | & iom_use("uadv_salttr") .OR. iom_use("vadv_salttr") ) ) l_hst = .TRUE. |
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| 114 | ! |
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[3] | 115 | ENDIF |
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[13991] | 116 | |
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[13226] | 117 | !! -- init to 0 |
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| 118 | zwi(:,:,:) = 0._wp |
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| 119 | zwx(:,:,:) = 0._wp |
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| 120 | zwy(:,:,:) = 0._wp |
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| 121 | zwz(:,:,:) = 0._wp |
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| 122 | ztu(:,:,:) = 0._wp |
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| 123 | ztv(:,:,:) = 0._wp |
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| 124 | zltu(:,:,:) = 0._wp |
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| 125 | zltv(:,:,:) = 0._wp |
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| 126 | ztw(:,:,:) = 0._wp |
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[2528] | 127 | ! |
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[7646] | 128 | IF( l_trd .OR. l_hst ) THEN |
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[13991] | 129 | ALLOCATE( ztrdx(A2D(nn_hls),jpk), ztrdy(A2D(nn_hls),jpk), ztrdz(A2D(nn_hls),jpk) ) |
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[7753] | 130 | ztrdx(:,:,:) = 0._wp ; ztrdy(:,:,:) = 0._wp ; ztrdz(:,:,:) = 0._wp |
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[3294] | 131 | ENDIF |
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[2528] | 132 | ! |
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[13991] | 133 | IF( l_ptr ) THEN |
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| 134 | ALLOCATE( zptry(A2D(nn_hls),jpk) ) |
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[7753] | 135 | zptry(:,:,:) = 0._wp |
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[7646] | 136 | ENDIF |
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[2528] | 137 | ! |
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[11407] | 138 | ! If adaptive vertical advection, check if it is needed on this PE at this time |
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| 139 | IF( ln_zad_Aimp ) THEN |
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[13991] | 140 | IF( MAXVAL( ABS( wi(A2D(nn_hls),:) ) ) > 0._wp ) ll_zAimp = .TRUE. |
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[11407] | 141 | END IF |
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| 142 | ! If active adaptive vertical advection, build tridiagonal matrix |
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| 143 | IF( ll_zAimp ) THEN |
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[13991] | 144 | ALLOCATE(zwdia(A2D(nn_hls),jpk), zwinf(A2D(nn_hls),jpk), zwsup(A2D(nn_hls),jpk)) |
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| 145 | DO_3D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 1, jpkm1 ) |
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[13237] | 146 | zwdia(ji,jj,jk) = 1._wp + p2dt * ( MAX( wi(ji,jj,jk) , 0._wp ) - MIN( wi(ji,jj,jk+1) , 0._wp ) ) & |
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| 147 | & / e3t(ji,jj,jk,Krhs) |
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[12377] | 148 | zwinf(ji,jj,jk) = p2dt * MIN( wi(ji,jj,jk ) , 0._wp ) / e3t(ji,jj,jk,Krhs) |
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| 149 | zwsup(ji,jj,jk) = -p2dt * MAX( wi(ji,jj,jk+1) , 0._wp ) / e3t(ji,jj,jk,Krhs) |
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| 150 | END_3D |
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[11407] | 151 | END IF |
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| 152 | ! |
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[6140] | 153 | DO jn = 1, kjpt !== loop over the tracers ==! |
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[5770] | 154 | ! |
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| 155 | ! !== upstream advection with initial mass fluxes & intermediate update ==! |
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| 156 | ! !* upstream tracer flux in the i and j direction |
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[13991] | 157 | DO_3D( nn_hls, nn_hls-1, nn_hls, nn_hls-1, 1, jpkm1 ) |
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[12377] | 158 | ! upstream scheme |
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| 159 | zfp_ui = pU(ji,jj,jk) + ABS( pU(ji,jj,jk) ) |
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| 160 | zfm_ui = pU(ji,jj,jk) - ABS( pU(ji,jj,jk) ) |
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| 161 | zfp_vj = pV(ji,jj,jk) + ABS( pV(ji,jj,jk) ) |
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| 162 | zfm_vj = pV(ji,jj,jk) - ABS( pV(ji,jj,jk) ) |
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| 163 | zwx(ji,jj,jk) = 0.5 * ( zfp_ui * pt(ji,jj,jk,jn,Kbb) + zfm_ui * pt(ji+1,jj ,jk,jn,Kbb) ) |
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| 164 | zwy(ji,jj,jk) = 0.5 * ( zfp_vj * pt(ji,jj,jk,jn,Kbb) + zfm_vj * pt(ji ,jj+1,jk,jn,Kbb) ) |
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| 165 | END_3D |
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[13497] | 166 | ! !* upstream tracer flux in the k direction *! |
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| 167 | DO_3D( 1, 1, 1, 1, 2, jpkm1 ) ! Interior value ( multiplied by wmask) |
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[12377] | 168 | zfp_wk = pW(ji,jj,jk) + ABS( pW(ji,jj,jk) ) |
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| 169 | zfm_wk = pW(ji,jj,jk) - ABS( pW(ji,jj,jk) ) |
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| 170 | zwz(ji,jj,jk) = 0.5 * ( zfp_wk * pt(ji,jj,jk,jn,Kbb) + zfm_wk * pt(ji,jj,jk-1,jn,Kbb) ) * wmask(ji,jj,jk) |
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| 171 | END_3D |
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[13497] | 172 | IF( ln_linssh ) THEN ! top ocean value (only in linear free surface as zwz has been w-masked) |
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| 173 | IF( ln_isfcav ) THEN ! top of the ice-shelf cavities and at the ocean surface |
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[13295] | 174 | DO_2D( 1, 1, 1, 1 ) |
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[12377] | 175 | zwz(ji,jj, mikt(ji,jj) ) = pW(ji,jj,mikt(ji,jj)) * pt(ji,jj,mikt(ji,jj),jn,Kbb) ! linear free surface |
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| 176 | END_2D |
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[13497] | 177 | ELSE ! no cavities: only at the ocean surface |
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[13295] | 178 | DO_2D( 1, 1, 1, 1 ) |
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[13286] | 179 | zwz(ji,jj,1) = pW(ji,jj,1) * pt(ji,jj,1,jn,Kbb) |
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| 180 | END_2D |
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[5770] | 181 | ENDIF |
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[5120] | 182 | ENDIF |
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[5770] | 183 | ! |
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[13991] | 184 | DO_3D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 1, jpkm1 ) !* trend and after field with monotonic scheme |
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[13497] | 185 | ! ! total intermediate advective trends |
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[12377] | 186 | ztra = - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
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| 187 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
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| 188 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) * r1_e1e2t(ji,jj) |
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[13497] | 189 | ! ! update and guess with monotonic sheme |
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[13237] | 190 | pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) + ztra & |
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| 191 | & / e3t(ji,jj,jk,Kmm ) * tmask(ji,jj,jk) |
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| 192 | zwi(ji,jj,jk) = ( e3t(ji,jj,jk,Kbb) * pt(ji,jj,jk,jn,Kbb) + p2dt * ztra ) & |
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| 193 | & / e3t(ji,jj,jk,Krhs) * tmask(ji,jj,jk) |
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[12377] | 194 | END_3D |
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[11407] | 195 | |
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| 196 | IF ( ll_zAimp ) THEN |
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| 197 | CALL tridia_solver( zwdia, zwsup, zwinf, zwi, zwi , 0 ) |
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| 198 | ! |
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[11411] | 199 | ztw(:,:,1) = 0._wp ; ztw(:,:,jpk) = 0._wp ; |
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[13991] | 200 | DO_3D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jpkm1 ) ! Interior value ( multiplied by wmask) |
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[12377] | 201 | zfp_wk = wi(ji,jj,jk) + ABS( wi(ji,jj,jk) ) |
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| 202 | zfm_wk = wi(ji,jj,jk) - ABS( wi(ji,jj,jk) ) |
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| 203 | ztw(ji,jj,jk) = 0.5 * e1e2t(ji,jj) * ( zfp_wk * zwi(ji,jj,jk) + zfm_wk * zwi(ji,jj,jk-1) ) * wmask(ji,jj,jk) |
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| 204 | zwz(ji,jj,jk) = zwz(ji,jj,jk) + ztw(ji,jj,jk) ! update vertical fluxes |
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| 205 | END_3D |
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[13295] | 206 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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[12377] | 207 | pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) - ( ztw(ji,jj,jk) - ztw(ji ,jj ,jk+1) ) & |
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| 208 | & * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm) |
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| 209 | END_3D |
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[11407] | 210 | ! |
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| 211 | END IF |
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[13991] | 212 | ! |
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[7646] | 213 | IF( l_trd .OR. l_hst ) THEN ! trend diagnostics (contribution of upstream fluxes) |
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[7753] | 214 | ztrdx(:,:,:) = zwx(:,:,:) ; ztrdy(:,:,:) = zwy(:,:,:) ; ztrdz(:,:,:) = zwz(:,:,:) |
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[2528] | 215 | END IF |
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[5770] | 216 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
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[9019] | 217 | IF( l_ptr ) zptry(:,:,:) = zwy(:,:,:) |
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[5770] | 218 | ! |
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| 219 | ! !== anti-diffusive flux : high order minus low order ==! |
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| 220 | ! |
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[6140] | 221 | SELECT CASE( kn_fct_h ) !* horizontal anti-diffusive fluxes |
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[5770] | 222 | ! |
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[6140] | 223 | CASE( 2 ) !- 2nd order centered |
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[13991] | 224 | DO_3D( nn_hls, nn_hls-1, nn_hls, nn_hls-1, 1, jpkm1 ) |
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[12377] | 225 | zwx(ji,jj,jk) = 0.5_wp * pU(ji,jj,jk) * ( pt(ji,jj,jk,jn,Kmm) + pt(ji+1,jj,jk,jn,Kmm) ) - zwx(ji,jj,jk) |
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| 226 | zwy(ji,jj,jk) = 0.5_wp * pV(ji,jj,jk) * ( pt(ji,jj,jk,jn,Kmm) + pt(ji,jj+1,jk,jn,Kmm) ) - zwy(ji,jj,jk) |
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| 227 | END_3D |
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[5770] | 228 | ! |
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[6140] | 229 | CASE( 4 ) !- 4th order centered |
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[7753] | 230 | zltu(:,:,jpk) = 0._wp ! Bottom value : flux set to zero |
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| 231 | zltv(:,:,jpk) = 0._wp |
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[6140] | 232 | DO jk = 1, jpkm1 ! Laplacian |
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[13497] | 233 | DO_2D( 1, 0, 1, 0 ) ! 1st derivative (gradient) |
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[12377] | 234 | ztu(ji,jj,jk) = ( pt(ji+1,jj ,jk,jn,Kmm) - pt(ji,jj,jk,jn,Kmm) ) * umask(ji,jj,jk) |
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| 235 | ztv(ji,jj,jk) = ( pt(ji ,jj+1,jk,jn,Kmm) - pt(ji,jj,jk,jn,Kmm) ) * vmask(ji,jj,jk) |
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| 236 | END_2D |
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[13497] | 237 | DO_2D( 0, 0, 0, 0 ) ! 2nd derivative * 1/ 6 |
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[12377] | 238 | zltu(ji,jj,jk) = ( ztu(ji,jj,jk) + ztu(ji-1,jj,jk) ) * r1_6 |
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| 239 | zltv(ji,jj,jk) = ( ztv(ji,jj,jk) + ztv(ji,jj-1,jk) ) * r1_6 |
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| 240 | END_2D |
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[503] | 241 | END DO |
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[13226] | 242 | CALL lbc_lnk_multi( 'traadv_fct', zltu, 'T', 1.0_wp , zltv, 'T', 1.0_wp ) ! Lateral boundary cond. (unchanged sgn) |
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[5770] | 243 | ! |
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[13991] | 244 | DO_3D( 1, 0, 1, 0, 1, jpkm1 ) |
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[12377] | 245 | zC2t_u = pt(ji,jj,jk,jn,Kmm) + pt(ji+1,jj ,jk,jn,Kmm) ! 2 x C2 interpolation of T at u- & v-points |
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| 246 | zC2t_v = pt(ji,jj,jk,jn,Kmm) + pt(ji ,jj+1,jk,jn,Kmm) |
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[13991] | 247 | ! ! C4 minus upstream advective fluxes |
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[12377] | 248 | zwx(ji,jj,jk) = 0.5_wp * pU(ji,jj,jk) * ( zC2t_u + zltu(ji,jj,jk) - zltu(ji+1,jj,jk) ) - zwx(ji,jj,jk) |
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| 249 | zwy(ji,jj,jk) = 0.5_wp * pV(ji,jj,jk) * ( zC2t_v + zltv(ji,jj,jk) - zltv(ji,jj+1,jk) ) - zwy(ji,jj,jk) |
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| 250 | END_3D |
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[13991] | 251 | IF (nn_hls.EQ.2) CALL lbc_lnk_multi( 'traadv_fct', zwx, 'U', -1.0_wp, zwy, 'V', -1.0_wp ) ! Lateral boundary cond. (unchanged sgn) |
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[5770] | 252 | ! |
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[6140] | 253 | CASE( 41 ) !- 4th order centered ==>> !!gm coding attempt need to be tested |
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[7753] | 254 | ztu(:,:,jpk) = 0._wp ! Bottom value : flux set to zero |
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| 255 | ztv(:,:,jpk) = 0._wp |
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[13991] | 256 | DO_3D( nn_hls, nn_hls-1, nn_hls, nn_hls-1, 1, jpkm1 ) ! 1st derivative (gradient) |
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[12377] | 257 | ztu(ji,jj,jk) = ( pt(ji+1,jj ,jk,jn,Kmm) - pt(ji,jj,jk,jn,Kmm) ) * umask(ji,jj,jk) |
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| 258 | ztv(ji,jj,jk) = ( pt(ji ,jj+1,jk,jn,Kmm) - pt(ji,jj,jk,jn,Kmm) ) * vmask(ji,jj,jk) |
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| 259 | END_3D |
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[13991] | 260 | IF (nn_hls.EQ.1) CALL lbc_lnk_multi( 'traadv_fct', ztu, 'U', -1.0_wp , ztv, 'V', -1.0_wp ) ! Lateral boundary cond. (unchanged sgn) |
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[5770] | 261 | ! |
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[13991] | 262 | IF (nn_hls.EQ.1) CALL lbc_lnk_multi( 'traadv_fct', ztu, 'U', -1.0_wp , ztv, 'V', -1.0_wp ) ! Lateral boundary cond. (unchanged sgn) |
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| 263 | ! |
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[13497] | 264 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) ! Horizontal advective fluxes |
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[12377] | 265 | zC2t_u = pt(ji,jj,jk,jn,Kmm) + pt(ji+1,jj ,jk,jn,Kmm) ! 2 x C2 interpolation of T at u- & v-points (x2) |
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| 266 | zC2t_v = pt(ji,jj,jk,jn,Kmm) + pt(ji ,jj+1,jk,jn,Kmm) |
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| 267 | ! ! C4 interpolation of T at u- & v-points (x2) |
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| 268 | zC4t_u = zC2t_u + r1_6 * ( ztu(ji-1,jj ,jk) - ztu(ji+1,jj ,jk) ) |
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| 269 | zC4t_v = zC2t_v + r1_6 * ( ztv(ji ,jj-1,jk) - ztv(ji ,jj+1,jk) ) |
---|
| 270 | ! ! C4 minus upstream advective fluxes |
---|
| 271 | zwx(ji,jj,jk) = 0.5_wp * pU(ji,jj,jk) * zC4t_u - zwx(ji,jj,jk) |
---|
| 272 | zwy(ji,jj,jk) = 0.5_wp * pV(ji,jj,jk) * zC4t_v - zwy(ji,jj,jk) |
---|
| 273 | END_3D |
---|
[13991] | 274 | IF (nn_hls.EQ.2) CALL lbc_lnk_multi( 'traadv_fct', zwx, 'U', -1.0_wp , zwy, 'V', -1.0_wp ) ! Lateral boundary cond. (unchanged sgn) |
---|
[5770] | 275 | ! |
---|
| 276 | END SELECT |
---|
[6140] | 277 | ! |
---|
| 278 | SELECT CASE( kn_fct_v ) !* vertical anti-diffusive fluxes (w-masked interior values) |
---|
[5770] | 279 | ! |
---|
[6140] | 280 | CASE( 2 ) !- 2nd order centered |
---|
[13991] | 281 | DO_3D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jpkm1 ) |
---|
[12377] | 282 | zwz(ji,jj,jk) = ( pW(ji,jj,jk) * 0.5_wp * ( pt(ji,jj,jk,jn,Kmm) + pt(ji,jj,jk-1,jn,Kmm) ) & |
---|
| 283 | & - zwz(ji,jj,jk) ) * wmask(ji,jj,jk) |
---|
| 284 | END_3D |
---|
[5770] | 285 | ! |
---|
[6140] | 286 | CASE( 4 ) !- 4th order COMPACT |
---|
[12377] | 287 | CALL interp_4th_cpt( pt(:,:,:,jn,Kmm) , ztw ) ! zwt = COMPACT interpolation of T at w-point |
---|
[13991] | 288 | DO_3D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jpkm1 ) |
---|
[12377] | 289 | zwz(ji,jj,jk) = ( pW(ji,jj,jk) * ztw(ji,jj,jk) - zwz(ji,jj,jk) ) * wmask(ji,jj,jk) |
---|
| 290 | END_3D |
---|
[5770] | 291 | ! |
---|
| 292 | END SELECT |
---|
[6140] | 293 | IF( ln_linssh ) THEN ! top ocean value: high order = upstream ==>> zwz=0 |
---|
[7753] | 294 | zwz(:,:,1) = 0._wp ! only ocean surface as interior zwz values have been w-masked |
---|
[6140] | 295 | ENDIF |
---|
[13991] | 296 | ! |
---|
| 297 | IF (nn_hls.EQ.1) THEN |
---|
| 298 | CALL lbc_lnk_multi( 'traadv_fct', zwi, 'T', 1.0_wp, zwx, 'U', -1.0_wp , zwy, 'V', -1.0_wp, zwz, 'T', 1.0_wp ) |
---|
| 299 | ELSE |
---|
| 300 | CALL lbc_lnk( 'traadv_fct', zwi, 'T', 1.0_wp) |
---|
| 301 | END IF |
---|
| 302 | ! |
---|
| 303 | IF (nn_hls.EQ.1) THEN |
---|
| 304 | CALL lbc_lnk_multi( 'traadv_fct', zwi, 'T', 1.0_wp, zwx, 'U', -1.0_wp , zwy, 'V', -1.0_wp, zwz, 'T', 1.0_wp ) |
---|
| 305 | ELSE |
---|
| 306 | CALL lbc_lnk( 'traadv_fct', zwi, 'T', 1.0_wp) |
---|
| 307 | END IF |
---|
| 308 | ! |
---|
[11407] | 309 | IF ( ll_zAimp ) THEN |
---|
[13991] | 310 | DO_3D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 1, jpkm1 ) !* trend and after field with monotonic scheme |
---|
[13497] | 311 | ! ! total intermediate advective trends |
---|
[12377] | 312 | ztra = - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
---|
| 313 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
---|
| 314 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) * r1_e1e2t(ji,jj) |
---|
[13991] | 315 | ztw(ji,jj,jk) = zwi(ji,jj,jk) + p2dt * ztra / e3t(ji,jj,jk,Krhs) * tmask(ji,jj,jk) |
---|
[12377] | 316 | END_3D |
---|
[11407] | 317 | ! |
---|
[11411] | 318 | CALL tridia_solver( zwdia, zwsup, zwinf, ztw, ztw , 0 ) |
---|
[11407] | 319 | ! |
---|
[13991] | 320 | DO_3D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jpkm1 ) ! Interior value ( multiplied by wmask) |
---|
[12377] | 321 | zfp_wk = wi(ji,jj,jk) + ABS( wi(ji,jj,jk) ) |
---|
| 322 | zfm_wk = wi(ji,jj,jk) - ABS( wi(ji,jj,jk) ) |
---|
[13991] | 323 | zwz(ji,jj,jk) = zwz(ji,jj,jk) + 0.5 * e1e2t(ji,jj) * ( zfp_wk * ztw(ji,jj,jk) + zfm_wk * ztw(ji,jj,jk-1) ) * wmask(ji,jj,jk) |
---|
[12377] | 324 | END_3D |
---|
[11407] | 325 | END IF |
---|
[11411] | 326 | ! |
---|
[5770] | 327 | ! !== monotonicity algorithm ==! |
---|
| 328 | ! |
---|
[12377] | 329 | CALL nonosc( Kmm, pt(:,:,:,jn,Kbb), zwx, zwy, zwz, zwi, p2dt ) |
---|
[6140] | 330 | ! |
---|
[5770] | 331 | ! !== final trend with corrected fluxes ==! |
---|
| 332 | ! |
---|
[13295] | 333 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[12377] | 334 | ztra = - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
---|
| 335 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
---|
| 336 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) * r1_e1e2t(ji,jj) |
---|
| 337 | pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) + ztra / e3t(ji,jj,jk,Kmm) |
---|
| 338 | zwi(ji,jj,jk) = zwi(ji,jj,jk) + p2dt * ztra / e3t(ji,jj,jk,Krhs) * tmask(ji,jj,jk) |
---|
| 339 | END_3D |
---|
[5770] | 340 | ! |
---|
[11407] | 341 | IF ( ll_zAimp ) THEN |
---|
| 342 | ! |
---|
[11411] | 343 | ztw(:,:,1) = 0._wp ; ztw(:,:,jpk) = 0._wp |
---|
[13497] | 344 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) ! Interior value ( multiplied by wmask) |
---|
[12377] | 345 | zfp_wk = wi(ji,jj,jk) + ABS( wi(ji,jj,jk) ) |
---|
| 346 | zfm_wk = wi(ji,jj,jk) - ABS( wi(ji,jj,jk) ) |
---|
| 347 | ztw(ji,jj,jk) = - 0.5 * e1e2t(ji,jj) * ( zfp_wk * zwi(ji,jj,jk) + zfm_wk * zwi(ji,jj,jk-1) ) * wmask(ji,jj,jk) |
---|
| 348 | zwz(ji,jj,jk) = zwz(ji,jj,jk) + ztw(ji,jj,jk) ! Update vertical fluxes for trend diagnostic |
---|
| 349 | END_3D |
---|
[13295] | 350 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[12377] | 351 | pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) - ( ztw(ji,jj,jk) - ztw(ji ,jj ,jk+1) ) & |
---|
| 352 | & * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm) |
---|
| 353 | END_3D |
---|
[13991] | 354 | END IF |
---|
| 355 | ! NOTE: [tiling-comms-merge] I tested this |
---|
| 356 | ! NOT TESTED - NEED l_trd OR l_hst TRUE |
---|
[9019] | 357 | IF( l_trd .OR. l_hst ) THEN ! trend diagnostics // heat/salt transport |
---|
[13991] | 358 | ztrdx(:,:,:) = ztrdx(:,:,:) + zwx(:,:,:) ! <<< add anti-diffusive fluxes |
---|
[9019] | 359 | ztrdy(:,:,:) = ztrdy(:,:,:) + zwy(:,:,:) ! to upstream fluxes |
---|
| 360 | ztrdz(:,:,:) = ztrdz(:,:,:) + zwz(:,:,:) ! |
---|
[5770] | 361 | ! |
---|
[9019] | 362 | IF( l_trd ) THEN ! trend diagnostics |
---|
[12377] | 363 | CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_xad, ztrdx, pU, pt(:,:,:,jn,Kmm) ) |
---|
| 364 | CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_yad, ztrdy, pV, pt(:,:,:,jn,Kmm) ) |
---|
| 365 | CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_zad, ztrdz, pW, pt(:,:,:,jn,Kmm) ) |
---|
[9019] | 366 | ENDIF |
---|
| 367 | ! ! heat/salt transport |
---|
| 368 | IF( l_hst ) CALL dia_ar5_hst( jn, 'adv', ztrdx(:,:,:), ztrdy(:,:,:) ) |
---|
[5770] | 369 | ! |
---|
[9019] | 370 | ENDIF |
---|
[13991] | 371 | ! NOTE: [tiling-comms-merge] I tested this |
---|
| 372 | ! NOT TESTED - NEED l_ptr TRUE |
---|
[9019] | 373 | IF( l_ptr ) THEN ! "Poleward" transports |
---|
| 374 | zptry(:,:,:) = zptry(:,:,:) + zwy(:,:,:) ! <<< add anti-diffusive fluxes |
---|
[7646] | 375 | CALL dia_ptr_hst( jn, 'adv', zptry(:,:,:) ) |
---|
[2528] | 376 | ENDIF |
---|
[503] | 377 | ! |
---|
[6140] | 378 | END DO ! end of tracer loop |
---|
[503] | 379 | ! |
---|
[11407] | 380 | IF ( ll_zAimp ) THEN |
---|
| 381 | DEALLOCATE( zwdia, zwinf, zwsup ) |
---|
| 382 | ENDIF |
---|
[13991] | 383 | IF( l_trd .OR. l_hst ) THEN |
---|
[10024] | 384 | DEALLOCATE( ztrdx, ztrdy, ztrdz ) |
---|
| 385 | ENDIF |
---|
| 386 | IF( l_ptr ) THEN |
---|
| 387 | DEALLOCATE( zptry ) |
---|
| 388 | ENDIF |
---|
| 389 | ! |
---|
[5770] | 390 | END SUBROUTINE tra_adv_fct |
---|
[3] | 391 | |
---|
[5737] | 392 | |
---|
[12377] | 393 | SUBROUTINE nonosc( Kmm, pbef, paa, pbb, pcc, paft, p2dt ) |
---|
[3] | 394 | !!--------------------------------------------------------------------- |
---|
| 395 | !! *** ROUTINE nonosc *** |
---|
| 396 | !! |
---|
| 397 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
---|
| 398 | !! scheme and the before field by a nonoscillatory algorithm |
---|
| 399 | !! |
---|
| 400 | !! ** Method : ... ??? |
---|
| 401 | !! warning : pbef and paft must be masked, but the boundaries |
---|
| 402 | !! conditions on the fluxes are not necessary zalezak (1979) |
---|
| 403 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
---|
| 404 | !! in-space based differencing for fluid |
---|
| 405 | !!---------------------------------------------------------------------- |
---|
[13991] | 406 | INTEGER , INTENT(in ) :: Kmm ! time level index |
---|
| 407 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
---|
| 408 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pbef ! before field |
---|
| 409 | REAL(wp), DIMENSION(A2D(nn_hls) ,jpk), INTENT(in ) :: paft ! after field |
---|
| 410 | REAL(wp), DIMENSION(A2D(nn_hls) ,jpk), INTENT(inout) :: paa, pbb, pcc ! monotonic fluxes in the 3 directions |
---|
[2715] | 411 | ! |
---|
[4990] | 412 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 413 | INTEGER :: ikm1 ! local integer |
---|
[13226] | 414 | REAL(dp) :: zpos, zneg, zbt, za, zb, zc, zbig, zrtrn ! local scalars |
---|
| 415 | REAL(dp) :: zau, zbu, zcu, zav, zbv, zcv, zup, zdo ! - - |
---|
[13991] | 416 | REAL(dp), DIMENSION(A2D(nn_hls),jpk) :: zbetup, zbetdo, zbup, zbdo |
---|
[3] | 417 | !!---------------------------------------------------------------------- |
---|
[3294] | 418 | ! |
---|
[13226] | 419 | zbig = 1.e+40_dp |
---|
| 420 | zrtrn = 1.e-15_dp |
---|
| 421 | zbetup(:,:,:) = 0._dp ; zbetdo(:,:,:) = 0._dp |
---|
[785] | 422 | |
---|
[3] | 423 | ! Search local extrema |
---|
| 424 | ! -------------------- |
---|
[785] | 425 | ! max/min of pbef & paft with large negative/positive value (-/+zbig) inside land |
---|
[13991] | 426 | DO_3D( nn_hls, nn_hls, nn_hls, nn_hls, 1, jpk ) |
---|
| 427 | zbup(ji,jj,jk) = MAX( pbef(ji,jj,jk) * tmask(ji,jj,jk) - zbig * ( 1._wp - tmask(ji,jj,jk) ), & |
---|
| 428 | & paft(ji,jj,jk) * tmask(ji,jj,jk) - zbig * ( 1._wp - tmask(ji,jj,jk) ) ) |
---|
| 429 | zbdo(ji,jj,jk) = MIN( pbef(ji,jj,jk) * tmask(ji,jj,jk) + zbig * ( 1._wp - tmask(ji,jj,jk) ), & |
---|
| 430 | & paft(ji,jj,jk) * tmask(ji,jj,jk) + zbig * ( 1._wp - tmask(ji,jj,jk) ) ) |
---|
| 431 | END_3D |
---|
[785] | 432 | |
---|
[5120] | 433 | DO jk = 1, jpkm1 |
---|
| 434 | ikm1 = MAX(jk-1,1) |
---|
[13991] | 435 | DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
[5120] | 436 | |
---|
[12377] | 437 | ! search maximum in neighbourhood |
---|
| 438 | zup = MAX( zbup(ji ,jj ,jk ), & |
---|
| 439 | & zbup(ji-1,jj ,jk ), zbup(ji+1,jj ,jk ), & |
---|
| 440 | & zbup(ji ,jj-1,jk ), zbup(ji ,jj+1,jk ), & |
---|
| 441 | & zbup(ji ,jj ,ikm1), zbup(ji ,jj ,jk+1) ) |
---|
[3] | 442 | |
---|
[12377] | 443 | ! search minimum in neighbourhood |
---|
| 444 | zdo = MIN( zbdo(ji ,jj ,jk ), & |
---|
| 445 | & zbdo(ji-1,jj ,jk ), zbdo(ji+1,jj ,jk ), & |
---|
| 446 | & zbdo(ji ,jj-1,jk ), zbdo(ji ,jj+1,jk ), & |
---|
| 447 | & zbdo(ji ,jj ,ikm1), zbdo(ji ,jj ,jk+1) ) |
---|
[3] | 448 | |
---|
[12377] | 449 | ! positive part of the flux |
---|
| 450 | zpos = MAX( 0., paa(ji-1,jj ,jk ) ) - MIN( 0., paa(ji ,jj ,jk ) ) & |
---|
| 451 | & + MAX( 0., pbb(ji ,jj-1,jk ) ) - MIN( 0., pbb(ji ,jj ,jk ) ) & |
---|
| 452 | & + MAX( 0., pcc(ji ,jj ,jk+1) ) - MIN( 0., pcc(ji ,jj ,jk ) ) |
---|
[785] | 453 | |
---|
[12377] | 454 | ! negative part of the flux |
---|
| 455 | zneg = MAX( 0., paa(ji ,jj ,jk ) ) - MIN( 0., paa(ji-1,jj ,jk ) ) & |
---|
| 456 | & + MAX( 0., pbb(ji ,jj ,jk ) ) - MIN( 0., pbb(ji ,jj-1,jk ) ) & |
---|
| 457 | & + MAX( 0., pcc(ji ,jj ,jk ) ) - MIN( 0., pcc(ji ,jj ,jk+1) ) |
---|
[785] | 458 | |
---|
[12377] | 459 | ! up & down beta terms |
---|
| 460 | zbt = e1e2t(ji,jj) * e3t(ji,jj,jk,Kmm) / p2dt |
---|
| 461 | zbetup(ji,jj,jk) = ( zup - paft(ji,jj,jk) ) / ( zpos + zrtrn ) * zbt |
---|
| 462 | zbetdo(ji,jj,jk) = ( paft(ji,jj,jk) - zdo ) / ( zneg + zrtrn ) * zbt |
---|
| 463 | END_2D |
---|
[3] | 464 | END DO |
---|
[13991] | 465 | IF (nn_hls.EQ.1) CALL lbc_lnk_multi( 'traadv_fct', zbetup, 'T', 1.0_wp , zbetdo, 'T', 1.0_wp ) ! lateral boundary cond. (unchanged sign) |
---|
[3] | 466 | |
---|
[237] | 467 | ! 3. monotonic flux in the i & j direction (paa & pbb) |
---|
| 468 | ! ---------------------------------------- |
---|
[13991] | 469 | DO_3D( 1, 0, 1, 0, 1, jpkm1 ) |
---|
[12377] | 470 | zau = MIN( 1._wp, zbetdo(ji,jj,jk), zbetup(ji+1,jj,jk) ) |
---|
| 471 | zbu = MIN( 1._wp, zbetup(ji,jj,jk), zbetdo(ji+1,jj,jk) ) |
---|
[13226] | 472 | zcu = ( 0.5 + SIGN( 0.5_wp , paa(ji,jj,jk) ) ) |
---|
[12377] | 473 | paa(ji,jj,jk) = paa(ji,jj,jk) * ( zcu * zau + ( 1._wp - zcu) * zbu ) |
---|
[3] | 474 | |
---|
[12377] | 475 | zav = MIN( 1._wp, zbetdo(ji,jj,jk), zbetup(ji,jj+1,jk) ) |
---|
| 476 | zbv = MIN( 1._wp, zbetup(ji,jj,jk), zbetdo(ji,jj+1,jk) ) |
---|
[13226] | 477 | zcv = ( 0.5 + SIGN( 0.5_wp , pbb(ji,jj,jk) ) ) |
---|
[12377] | 478 | pbb(ji,jj,jk) = pbb(ji,jj,jk) * ( zcv * zav + ( 1._wp - zcv) * zbv ) |
---|
[3] | 479 | |
---|
[13497] | 480 | ! monotonic flux in the k direction, i.e. pcc |
---|
| 481 | ! ------------------------------------------- |
---|
[12377] | 482 | za = MIN( 1., zbetdo(ji,jj,jk+1), zbetup(ji,jj,jk) ) |
---|
| 483 | zb = MIN( 1., zbetup(ji,jj,jk+1), zbetdo(ji,jj,jk) ) |
---|
[13226] | 484 | zc = ( 0.5 + SIGN( 0.5_wp , pcc(ji,jj,jk+1) ) ) |
---|
[12377] | 485 | pcc(ji,jj,jk+1) = pcc(ji,jj,jk+1) * ( zc * za + ( 1._wp - zc) * zb ) |
---|
| 486 | END_3D |
---|
[503] | 487 | ! |
---|
[3] | 488 | END SUBROUTINE nonosc |
---|
| 489 | |
---|
[5770] | 490 | |
---|
[7646] | 491 | SUBROUTINE interp_4th_cpt_org( pt_in, pt_out ) |
---|
[5770] | 492 | !!---------------------------------------------------------------------- |
---|
[7646] | 493 | !! *** ROUTINE interp_4th_cpt_org *** |
---|
[5770] | 494 | !! |
---|
| 495 | !! ** Purpose : Compute the interpolation of tracer at w-point |
---|
| 496 | !! |
---|
| 497 | !! ** Method : 4th order compact interpolation |
---|
| 498 | !!---------------------------------------------------------------------- |
---|
| 499 | REAL(wp),DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pt_in ! now tracer fields |
---|
| 500 | REAL(wp),DIMENSION(jpi,jpj,jpk), INTENT( out) :: pt_out ! now tracer field interpolated at w-pts |
---|
| 501 | ! |
---|
| 502 | INTEGER :: ji, jj, jk ! dummy loop integers |
---|
| 503 | REAL(wp),DIMENSION(jpi,jpj,jpk) :: zwd, zwi, zws, zwrm, zwt |
---|
| 504 | !!---------------------------------------------------------------------- |
---|
| 505 | |
---|
[13497] | 506 | DO_3D( 1, 1, 1, 1, 3, jpkm1 ) !== build the three diagonal matrix ==! |
---|
[12377] | 507 | zwd (ji,jj,jk) = 4._wp |
---|
| 508 | zwi (ji,jj,jk) = 1._wp |
---|
| 509 | zws (ji,jj,jk) = 1._wp |
---|
| 510 | zwrm(ji,jj,jk) = 3._wp * ( pt_in(ji,jj,jk-1) + pt_in(ji,jj,jk) ) |
---|
| 511 | ! |
---|
| 512 | IF( tmask(ji,jj,jk+1) == 0._wp) THEN ! Switch to second order centered at bottom |
---|
[5770] | 513 | zwd (ji,jj,jk) = 1._wp |
---|
| 514 | zwi (ji,jj,jk) = 0._wp |
---|
| 515 | zws (ji,jj,jk) = 0._wp |
---|
[12377] | 516 | zwrm(ji,jj,jk) = 0.5 * ( pt_in(ji,jj,jk-1) + pt_in(ji,jj,jk) ) |
---|
| 517 | ENDIF |
---|
| 518 | END_3D |
---|
[5770] | 519 | ! |
---|
[13497] | 520 | jk = 2 ! Switch to second order centered at top |
---|
[13295] | 521 | DO_2D( 1, 1, 1, 1 ) |
---|
[12377] | 522 | zwd (ji,jj,jk) = 1._wp |
---|
| 523 | zwi (ji,jj,jk) = 0._wp |
---|
| 524 | zws (ji,jj,jk) = 0._wp |
---|
| 525 | zwrm(ji,jj,jk) = 0.5 * ( pt_in(ji,jj,jk-1) + pt_in(ji,jj,jk) ) |
---|
| 526 | END_2D |
---|
| 527 | ! |
---|
[5770] | 528 | ! !== tridiagonal solve ==! |
---|
[13497] | 529 | DO_2D( 1, 1, 1, 1 ) ! first recurrence |
---|
[12377] | 530 | zwt(ji,jj,2) = zwd(ji,jj,2) |
---|
| 531 | END_2D |
---|
[13295] | 532 | DO_3D( 1, 1, 1, 1, 3, jpkm1 ) |
---|
[12377] | 533 | zwt(ji,jj,jk) = zwd(ji,jj,jk) - zwi(ji,jj,jk) * zws(ji,jj,jk-1) /zwt(ji,jj,jk-1) |
---|
| 534 | END_3D |
---|
[5770] | 535 | ! |
---|
[13497] | 536 | DO_2D( 1, 1, 1, 1 ) ! second recurrence: Zk = Yk - Ik / Tk-1 Zk-1 |
---|
[12377] | 537 | pt_out(ji,jj,2) = zwrm(ji,jj,2) |
---|
| 538 | END_2D |
---|
[13295] | 539 | DO_3D( 1, 1, 1, 1, 3, jpkm1 ) |
---|
[12377] | 540 | pt_out(ji,jj,jk) = zwrm(ji,jj,jk) - zwi(ji,jj,jk) / zwt(ji,jj,jk-1) *pt_out(ji,jj,jk-1) |
---|
| 541 | END_3D |
---|
[5770] | 542 | |
---|
[13497] | 543 | DO_2D( 1, 1, 1, 1 ) ! third recurrence: Xk = (Zk - Sk Xk+1 ) / Tk |
---|
[12377] | 544 | pt_out(ji,jj,jpkm1) = pt_out(ji,jj,jpkm1) / zwt(ji,jj,jpkm1) |
---|
| 545 | END_2D |
---|
[13295] | 546 | DO_3DS( 1, 1, 1, 1, jpk-2, 2, -1 ) |
---|
[12377] | 547 | pt_out(ji,jj,jk) = ( pt_out(ji,jj,jk) - zws(ji,jj,jk) * pt_out(ji,jj,jk+1) ) / zwt(ji,jj,jk) |
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| 548 | END_3D |
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[5770] | 549 | ! |
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[7646] | 550 | END SUBROUTINE interp_4th_cpt_org |
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| 551 | |
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| 552 | |
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| 553 | SUBROUTINE interp_4th_cpt( pt_in, pt_out ) |
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| 554 | !!---------------------------------------------------------------------- |
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| 555 | !! *** ROUTINE interp_4th_cpt *** |
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| 556 | !! |
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| 557 | !! ** Purpose : Compute the interpolation of tracer at w-point |
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| 558 | !! |
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| 559 | !! ** Method : 4th order compact interpolation |
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| 560 | !!---------------------------------------------------------------------- |
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| 561 | REAL(wp),DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pt_in ! field at t-point |
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[13991] | 562 | REAL(wp),DIMENSION(A2D(nn_hls) ,jpk), INTENT( out) :: pt_out ! field interpolated at w-point |
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[7646] | 563 | ! |
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| 564 | INTEGER :: ji, jj, jk ! dummy loop integers |
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| 565 | INTEGER :: ikt, ikb ! local integers |
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[13991] | 566 | REAL(wp),DIMENSION(A2D(nn_hls),jpk) :: zwd, zwi, zws, zwrm, zwt |
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[7646] | 567 | !!---------------------------------------------------------------------- |
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| 568 | ! |
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| 569 | ! !== build the three diagonal matrix & the RHS ==! |
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| 570 | ! |
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[13991] | 571 | DO_3D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 3, jpkm1 ) ! interior (from jk=3 to jpk-1) |
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[12377] | 572 | zwd (ji,jj,jk) = 3._wp * wmask(ji,jj,jk) + 1._wp ! diagonal |
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| 573 | zwi (ji,jj,jk) = wmask(ji,jj,jk) ! lower diagonal |
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| 574 | zws (ji,jj,jk) = wmask(ji,jj,jk) ! upper diagonal |
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| 575 | zwrm(ji,jj,jk) = 3._wp * wmask(ji,jj,jk) & ! RHS |
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| 576 | & * ( pt_in(ji,jj,jk) + pt_in(ji,jj,jk-1) ) |
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| 577 | END_3D |
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[7646] | 578 | ! |
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| 579 | !!gm |
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| 580 | ! SELECT CASE( kbc ) !* boundary condition |
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| 581 | ! CASE( np_NH ) ! Neumann homogeneous at top & bottom |
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| 582 | ! CASE( np_CEN2 ) ! 2nd order centered at top & bottom |
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| 583 | ! END SELECT |
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| 584 | !!gm |
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| 585 | ! |
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[9901] | 586 | IF ( ln_isfcav ) THEN ! set level two values which may not be set in ISF case |
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| 587 | zwd(:,:,2) = 1._wp ; zwi(:,:,2) = 0._wp ; zws(:,:,2) = 0._wp ; zwrm(:,:,2) = 0._wp |
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| 588 | END IF |
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| 589 | ! |
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[13991] | 590 | DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) ! 2nd order centered at top & bottom |
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[12377] | 591 | ikt = mikt(ji,jj) + 1 ! w-point below the 1st wet point |
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| 592 | ikb = MAX(mbkt(ji,jj), 2) ! - above the last wet point |
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| 593 | ! |
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| 594 | zwd (ji,jj,ikt) = 1._wp ! top |
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| 595 | zwi (ji,jj,ikt) = 0._wp |
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| 596 | zws (ji,jj,ikt) = 0._wp |
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| 597 | zwrm(ji,jj,ikt) = 0.5_wp * ( pt_in(ji,jj,ikt-1) + pt_in(ji,jj,ikt) ) |
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| 598 | ! |
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| 599 | zwd (ji,jj,ikb) = 1._wp ! bottom |
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| 600 | zwi (ji,jj,ikb) = 0._wp |
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| 601 | zws (ji,jj,ikb) = 0._wp |
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| 602 | zwrm(ji,jj,ikb) = 0.5_wp * ( pt_in(ji,jj,ikb-1) + pt_in(ji,jj,ikb) ) |
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| 603 | END_2D |
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[7646] | 604 | ! |
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| 605 | ! !== tridiagonal solver ==! |
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| 606 | ! |
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[13991] | 607 | DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) !* 1st recurrence: Tk = Dk - Ik Sk-1 / Tk-1 |
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[12377] | 608 | zwt(ji,jj,2) = zwd(ji,jj,2) |
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| 609 | END_2D |
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[13991] | 610 | DO_3D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 3, jpkm1 ) |
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[12377] | 611 | 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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| 612 | END_3D |
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[7646] | 613 | ! |
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[13991] | 614 | DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) !* 2nd recurrence: Zk = Yk - Ik / Tk-1 Zk-1 |
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[12377] | 615 | pt_out(ji,jj,2) = zwrm(ji,jj,2) |
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| 616 | END_2D |
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[13991] | 617 | DO_3D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 3, jpkm1 ) |
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[12377] | 618 | pt_out(ji,jj,jk) = zwrm(ji,jj,jk) - zwi(ji,jj,jk) / zwt(ji,jj,jk-1) *pt_out(ji,jj,jk-1) |
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| 619 | END_3D |
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[7646] | 620 | |
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[13991] | 621 | DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) !* 3d recurrence: Xk = (Zk - Sk Xk+1 ) / Tk |
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[12377] | 622 | pt_out(ji,jj,jpkm1) = pt_out(ji,jj,jpkm1) / zwt(ji,jj,jpkm1) |
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| 623 | END_2D |
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[13991] | 624 | DO_3DS( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, jpk-2, 2, -1 ) |
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[12377] | 625 | pt_out(ji,jj,jk) = ( pt_out(ji,jj,jk) - zws(ji,jj,jk) * pt_out(ji,jj,jk+1) ) / zwt(ji,jj,jk) |
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| 626 | END_3D |
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[7646] | 627 | ! |
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[5770] | 628 | END SUBROUTINE interp_4th_cpt |
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[7646] | 629 | |
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| 630 | |
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| 631 | SUBROUTINE tridia_solver( pD, pU, pL, pRHS, pt_out , klev ) |
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| 632 | !!---------------------------------------------------------------------- |
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| 633 | !! *** ROUTINE tridia_solver *** |
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| 634 | !! |
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| 635 | !! ** Purpose : solve a symmetric 3diagonal system |
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| 636 | !! |
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| 637 | !! ** Method : solve M.t_out = RHS(t) where M is a tri diagonal matrix ( jpk*jpk ) |
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| 638 | !! |
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| 639 | !! ( D_1 U_1 0 0 0 )( t_1 ) ( RHS_1 ) |
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| 640 | !! ( L_2 D_2 U_2 0 0 )( t_2 ) ( RHS_2 ) |
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| 641 | !! ( 0 L_3 D_3 U_3 0 )( t_3 ) = ( RHS_3 ) |
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| 642 | !! ( ... )( ... ) ( ... ) |
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| 643 | !! ( 0 0 0 L_k D_k )( t_k ) ( RHS_k ) |
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| 644 | !! |
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| 645 | !! M is decomposed in the product of an upper and lower triangular matrix. |
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| 646 | !! The tri-diagonals matrix is given as input 3D arrays: pD, pU, pL |
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| 647 | !! (i.e. the Diagonal, the Upper diagonal, and the Lower diagonal). |
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| 648 | !! The solution is pta. |
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| 649 | !! The 3d array zwt is used as a work space array. |
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| 650 | !!---------------------------------------------------------------------- |
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[13991] | 651 | REAL(wp),DIMENSION(A2D(nn_hls),jpk), INTENT(in ) :: pD, pU, PL ! 3-diagonal matrix |
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| 652 | REAL(wp),DIMENSION(A2D(nn_hls),jpk), INTENT(in ) :: pRHS ! Right-Hand-Side |
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| 653 | REAL(wp),DIMENSION(A2D(nn_hls),jpk), INTENT( out) :: pt_out !!gm field at level=F(klev) |
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| 654 | INTEGER , INTENT(in ) :: klev ! =1 pt_out at w-level |
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| 655 | ! ! =0 pt at t-level |
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[7646] | 656 | INTEGER :: ji, jj, jk ! dummy loop integers |
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| 657 | INTEGER :: kstart ! local indices |
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[13991] | 658 | REAL(wp),DIMENSION(A2D(nn_hls),jpk) :: zwt ! 3D work array |
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[7646] | 659 | !!---------------------------------------------------------------------- |
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| 660 | ! |
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| 661 | kstart = 1 + klev |
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| 662 | ! |
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[13991] | 663 | DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) !* 1st recurrence: Tk = Dk - Ik Sk-1 / Tk-1 |
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[12377] | 664 | zwt(ji,jj,kstart) = pD(ji,jj,kstart) |
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| 665 | END_2D |
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[13991] | 666 | DO_3D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, kstart+1, jpkm1 ) |
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[12377] | 667 | zwt(ji,jj,jk) = pD(ji,jj,jk) - pL(ji,jj,jk) * pU(ji,jj,jk-1) /zwt(ji,jj,jk-1) |
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| 668 | END_3D |
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[7646] | 669 | ! |
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[13991] | 670 | DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) !* 2nd recurrence: Zk = Yk - Ik / Tk-1 Zk-1 |
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[12377] | 671 | pt_out(ji,jj,kstart) = pRHS(ji,jj,kstart) |
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| 672 | END_2D |
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[13991] | 673 | DO_3D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, kstart+1, jpkm1 ) |
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[12377] | 674 | pt_out(ji,jj,jk) = pRHS(ji,jj,jk) - pL(ji,jj,jk) / zwt(ji,jj,jk-1) *pt_out(ji,jj,jk-1) |
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| 675 | END_3D |
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[7646] | 676 | |
---|
[13991] | 677 | DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) !* 3d recurrence: Xk = (Zk - Sk Xk+1 ) / Tk |
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[12377] | 678 | pt_out(ji,jj,jpkm1) = pt_out(ji,jj,jpkm1) / zwt(ji,jj,jpkm1) |
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| 679 | END_2D |
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[13991] | 680 | DO_3DS( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, jpk-2, kstart, -1 ) |
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[12377] | 681 | pt_out(ji,jj,jk) = ( pt_out(ji,jj,jk) - pU(ji,jj,jk) * pt_out(ji,jj,jk+1) ) / zwt(ji,jj,jk) |
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| 682 | END_3D |
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[7646] | 683 | ! |
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| 684 | END SUBROUTINE tridia_solver |
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| 685 | |
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[3] | 686 | !!====================================================================== |
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[5770] | 687 | END MODULE traadv_fct |
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