[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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[9019] | 22 | USE phycst , ONLY : rau0_rcp |
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[4990] | 23 | ! |
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[5770] | 24 | USE in_out_manager ! I/O manager |
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[9019] | 25 | USE iom ! |
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[3625] | 26 | USE lib_mpp ! MPP library |
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| 27 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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[5770] | 28 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[10136] | 29 | USE timing ! Timing |
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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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[3] | 36 | |
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[5770] | 37 | LOGICAL :: l_trd ! flag to compute trends |
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[7646] | 38 | LOGICAL :: l_ptr ! flag to compute poleward transport |
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| 39 | LOGICAL :: l_hst ! flag to compute heat/salt transport |
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[5770] | 40 | REAL(wp) :: r1_6 = 1._wp / 6._wp ! =1/6 |
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[2528] | 41 | |
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[7646] | 42 | ! ! tridiag solver associated indices: |
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| 43 | INTEGER, PARAMETER :: np_NH = 0 ! Neumann homogeneous boundary condition |
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| 44 | INTEGER, PARAMETER :: np_CEN2 = 1 ! 2nd order centered boundary condition |
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| 45 | |
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[3] | 46 | !! * Substitutions |
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| 47 | # include "vectopt_loop_substitute.h90" |
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| 48 | !!---------------------------------------------------------------------- |
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[9598] | 49 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[1152] | 50 | !! $Id$ |
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[9598] | 51 | !! Software governed by the CeCILL licence (./LICENSE) |
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[3] | 52 | !!---------------------------------------------------------------------- |
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| 53 | CONTAINS |
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| 54 | |
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[5770] | 55 | SUBROUTINE tra_adv_fct( kt, kit000, cdtype, p2dt, pun, pvn, pwn, & |
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| 56 | & ptb, ptn, pta, kjpt, kn_fct_h, kn_fct_v ) |
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[3] | 57 | !!---------------------------------------------------------------------- |
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[5770] | 58 | !! *** ROUTINE tra_adv_fct *** |
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[3] | 59 | !! |
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[6140] | 60 | !! ** Purpose : Compute the now trend due to total advection of tracers |
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| 61 | !! and add it to the general trend of tracer equations |
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[3] | 62 | !! |
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[5770] | 63 | !! ** Method : - 2nd or 4th FCT scheme on the horizontal direction |
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| 64 | !! (choice through the value of kn_fct) |
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[6140] | 65 | !! - on the vertical the 4th order is a compact scheme |
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[5770] | 66 | !! - corrected flux (monotonic correction) |
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[3] | 67 | !! |
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[6140] | 68 | !! ** Action : - update pta with the now advective tracer trends |
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[9019] | 69 | !! - send trends to trdtra module for further diagnostics (l_trdtra=T) |
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[6140] | 70 | !! - htr_adv, str_adv : poleward advective heat and salt transport (ln_diaptr=T) |
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[503] | 71 | !!---------------------------------------------------------------------- |
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[2528] | 72 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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[3294] | 73 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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[2528] | 74 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 75 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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[5770] | 76 | INTEGER , INTENT(in ) :: kn_fct_h ! order of the FCT scheme (=2 or 4) |
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| 77 | INTEGER , INTENT(in ) :: kn_fct_v ! order of the FCT scheme (=2 or 4) |
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[6140] | 78 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
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[2528] | 79 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components |
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| 80 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields |
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| 81 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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[2715] | 82 | ! |
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[5770] | 83 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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[6140] | 84 | REAL(wp) :: ztra ! local scalar |
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[5770] | 85 | REAL(wp) :: zfp_ui, zfp_vj, zfp_wk, zC2t_u, zC4t_u ! - - |
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| 86 | REAL(wp) :: zfm_ui, zfm_vj, zfm_wk, zC2t_v, zC4t_v ! - - |
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[9019] | 87 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwi, zwx, zwy, zwz, ztu, ztv, zltu, zltv, ztw |
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| 88 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdx, ztrdy, ztrdz, zptry |
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[3] | 89 | !!---------------------------------------------------------------------- |
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[3294] | 90 | ! |
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| 91 | IF( kt == kit000 ) THEN |
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[2528] | 92 | IF(lwp) WRITE(numout,*) |
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[5770] | 93 | IF(lwp) WRITE(numout,*) 'tra_adv_fct : FCT advection scheme on ', cdtype |
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[2528] | 94 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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[3] | 95 | ENDIF |
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[2528] | 96 | ! |
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[9019] | 97 | l_trd = .FALSE. ! set local switches |
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[7646] | 98 | l_hst = .FALSE. |
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| 99 | l_ptr = .FALSE. |
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[9019] | 100 | IF( ( cdtype =='TRA' .AND. l_trdtra ) .OR. ( cdtype =='TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
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| 101 | IF( cdtype =='TRA' .AND. ln_diaptr ) l_ptr = .TRUE. |
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| 102 | IF( cdtype =='TRA' .AND. ( iom_use("uadv_heattr") .OR. iom_use("vadv_heattr") .OR. & |
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| 103 | & iom_use("uadv_salttr") .OR. iom_use("vadv_salttr") ) ) l_hst = .TRUE. |
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[5770] | 104 | ! |
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[7646] | 105 | IF( l_trd .OR. l_hst ) THEN |
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[9019] | 106 | ALLOCATE( ztrdx(jpi,jpj,jpk), ztrdy(jpi,jpj,jpk), ztrdz(jpi,jpj,jpk) ) |
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[7753] | 107 | ztrdx(:,:,:) = 0._wp ; ztrdy(:,:,:) = 0._wp ; ztrdz(:,:,:) = 0._wp |
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[3294] | 108 | ENDIF |
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[2528] | 109 | ! |
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[7646] | 110 | IF( l_ptr ) THEN |
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[9019] | 111 | ALLOCATE( zptry(jpi,jpj,jpk) ) |
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[7753] | 112 | zptry(:,:,:) = 0._wp |
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[7646] | 113 | ENDIF |
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[6140] | 114 | ! ! surface & bottom value : flux set to zero one for all |
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[7753] | 115 | zwz(:,:, 1 ) = 0._wp |
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| 116 | zwx(:,:,jpk) = 0._wp ; zwy(:,:,jpk) = 0._wp ; zwz(:,:,jpk) = 0._wp |
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[2528] | 117 | ! |
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[7753] | 118 | zwi(:,:,:) = 0._wp |
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| 119 | ! |
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[6140] | 120 | DO jn = 1, kjpt !== loop over the tracers ==! |
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[5770] | 121 | ! |
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| 122 | ! !== upstream advection with initial mass fluxes & intermediate update ==! |
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| 123 | ! !* upstream tracer flux in the i and j direction |
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[2528] | 124 | DO jk = 1, jpkm1 |
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| 125 | DO jj = 1, jpjm1 |
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| 126 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 127 | ! upstream scheme |
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| 128 | zfp_ui = pun(ji,jj,jk) + ABS( pun(ji,jj,jk) ) |
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| 129 | zfm_ui = pun(ji,jj,jk) - ABS( pun(ji,jj,jk) ) |
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| 130 | zfp_vj = pvn(ji,jj,jk) + ABS( pvn(ji,jj,jk) ) |
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| 131 | zfm_vj = pvn(ji,jj,jk) - ABS( pvn(ji,jj,jk) ) |
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| 132 | zwx(ji,jj,jk) = 0.5 * ( zfp_ui * ptb(ji,jj,jk,jn) + zfm_ui * ptb(ji+1,jj ,jk,jn) ) |
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| 133 | zwy(ji,jj,jk) = 0.5 * ( zfp_vj * ptb(ji,jj,jk,jn) + zfm_vj * ptb(ji ,jj+1,jk,jn) ) |
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| 134 | END DO |
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[3] | 135 | END DO |
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| 136 | END DO |
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[5770] | 137 | ! !* upstream tracer flux in the k direction *! |
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[6140] | 138 | DO jk = 2, jpkm1 ! Interior value ( multiplied by wmask) |
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[4990] | 139 | DO jj = 1, jpj |
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| 140 | DO ji = 1, jpi |
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[2528] | 141 | zfp_wk = pwn(ji,jj,jk) + ABS( pwn(ji,jj,jk) ) |
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| 142 | zfm_wk = pwn(ji,jj,jk) - ABS( pwn(ji,jj,jk) ) |
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[5120] | 143 | zwz(ji,jj,jk) = 0.5 * ( zfp_wk * ptb(ji,jj,jk,jn) + zfm_wk * ptb(ji,jj,jk-1,jn) ) * wmask(ji,jj,jk) |
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[2528] | 144 | END DO |
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[3] | 145 | END DO |
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| 146 | END DO |
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[6140] | 147 | IF( ln_linssh ) THEN ! top ocean value (only in linear free surface as zwz has been w-masked) |
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[5770] | 148 | IF( ln_isfcav ) THEN ! top of the ice-shelf cavities and at the ocean surface |
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[5120] | 149 | DO jj = 1, jpj |
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| 150 | DO ji = 1, jpi |
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| 151 | zwz(ji,jj, mikt(ji,jj) ) = pwn(ji,jj,mikt(ji,jj)) * ptb(ji,jj,mikt(ji,jj),jn) ! linear free surface |
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| 152 | END DO |
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| 153 | END DO |
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[5770] | 154 | ELSE ! no cavities: only at the ocean surface |
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[7753] | 155 | zwz(:,:,1) = pwn(:,:,1) * ptb(:,:,1,jn) |
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[5770] | 156 | ENDIF |
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[5120] | 157 | ENDIF |
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[5770] | 158 | ! |
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| 159 | DO jk = 1, jpkm1 !* trend and after field with monotonic scheme |
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[216] | 160 | DO jj = 2, jpjm1 |
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| 161 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[6691] | 162 | ! ! total intermediate advective trends |
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[5770] | 163 | ztra = - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
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| 164 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
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[6691] | 165 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) * r1_e1e2t(ji,jj) |
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| 166 | ! ! update and guess with monotonic sheme |
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| 167 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra / e3t_n(ji,jj,jk) * tmask(ji,jj,jk) |
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| 168 | zwi(ji,jj,jk) = ( e3t_b(ji,jj,jk) * ptb(ji,jj,jk,jn) + p2dt * ztra ) / e3t_a(ji,jj,jk) * tmask(ji,jj,jk) |
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[216] | 169 | END DO |
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| 170 | END DO |
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| 171 | END DO |
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[9814] | 172 | CALL lbc_lnk("traadv_fct",zwi, 'T', 1. ) ! Lateral boundary conditions on zwi (unchanged sign) |
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[5770] | 173 | ! |
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[7646] | 174 | IF( l_trd .OR. l_hst ) THEN ! trend diagnostics (contribution of upstream fluxes) |
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[7753] | 175 | ztrdx(:,:,:) = zwx(:,:,:) ; ztrdy(:,:,:) = zwy(:,:,:) ; ztrdz(:,:,:) = zwz(:,:,:) |
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[2528] | 176 | END IF |
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[5770] | 177 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
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[9019] | 178 | IF( l_ptr ) zptry(:,:,:) = zwy(:,:,:) |
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[5770] | 179 | ! |
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| 180 | ! !== anti-diffusive flux : high order minus low order ==! |
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| 181 | ! |
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[6140] | 182 | SELECT CASE( kn_fct_h ) !* horizontal anti-diffusive fluxes |
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[5770] | 183 | ! |
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[6140] | 184 | CASE( 2 ) !- 2nd order centered |
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[5770] | 185 | DO jk = 1, jpkm1 |
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| 186 | DO jj = 1, jpjm1 |
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| 187 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 188 | zwx(ji,jj,jk) = 0.5_wp * pun(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji+1,jj,jk,jn) ) - zwx(ji,jj,jk) |
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| 189 | zwy(ji,jj,jk) = 0.5_wp * pvn(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji,jj+1,jk,jn) ) - zwy(ji,jj,jk) |
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| 190 | END DO |
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[503] | 191 | END DO |
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| 192 | END DO |
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[5770] | 193 | ! |
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[6140] | 194 | CASE( 4 ) !- 4th order centered |
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[7753] | 195 | zltu(:,:,jpk) = 0._wp ! Bottom value : flux set to zero |
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| 196 | zltv(:,:,jpk) = 0._wp |
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[6140] | 197 | DO jk = 1, jpkm1 ! Laplacian |
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| 198 | DO jj = 1, jpjm1 ! 1st derivative (gradient) |
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[5770] | 199 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 200 | ztu(ji,jj,jk) = ( ptn(ji+1,jj ,jk,jn) - ptn(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
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| 201 | ztv(ji,jj,jk) = ( ptn(ji ,jj+1,jk,jn) - ptn(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
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| 202 | END DO |
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[503] | 203 | END DO |
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[6140] | 204 | DO jj = 2, jpjm1 ! 2nd derivative * 1/ 6 |
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[5770] | 205 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 206 | zltu(ji,jj,jk) = ( ztu(ji,jj,jk) + ztu(ji-1,jj,jk) ) * r1_6 |
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| 207 | zltv(ji,jj,jk) = ( ztv(ji,jj,jk) + ztv(ji,jj-1,jk) ) * r1_6 |
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| 208 | END DO |
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| 209 | END DO |
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[503] | 210 | END DO |
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[9814] | 211 | CALL lbc_lnk_multi("traadv_fct",zltu, 'T', 1. , zltv, 'T', 1. ) ! Lateral boundary cond. (unchanged sgn) |
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[5770] | 212 | ! |
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[6140] | 213 | DO jk = 1, jpkm1 ! Horizontal advective fluxes |
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[5770] | 214 | DO jj = 1, jpjm1 |
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| 215 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 216 | zC2t_u = ptn(ji,jj,jk,jn) + ptn(ji+1,jj ,jk,jn) ! 2 x C2 interpolation of T at u- & v-points |
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| 217 | zC2t_v = ptn(ji,jj,jk,jn) + ptn(ji ,jj+1,jk,jn) |
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| 218 | ! ! C4 minus upstream advective fluxes |
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| 219 | zwx(ji,jj,jk) = 0.5_wp * pun(ji,jj,jk) * ( zC2t_u + zltu(ji,jj,jk) - zltu(ji+1,jj,jk) ) - zwx(ji,jj,jk) |
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| 220 | zwy(ji,jj,jk) = 0.5_wp * pvn(ji,jj,jk) * ( zC2t_v + zltv(ji,jj,jk) - zltv(ji,jj+1,jk) ) - zwy(ji,jj,jk) |
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| 221 | END DO |
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[5120] | 222 | END DO |
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[5770] | 223 | END DO |
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| 224 | ! |
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[6140] | 225 | CASE( 41 ) !- 4th order centered ==>> !!gm coding attempt need to be tested |
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[7753] | 226 | ztu(:,:,jpk) = 0._wp ! Bottom value : flux set to zero |
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| 227 | ztv(:,:,jpk) = 0._wp |
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[6140] | 228 | DO jk = 1, jpkm1 ! 1st derivative (gradient) |
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| 229 | DO jj = 1, jpjm1 |
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[5770] | 230 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 231 | ztu(ji,jj,jk) = ( ptn(ji+1,jj ,jk,jn) - ptn(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
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| 232 | ztv(ji,jj,jk) = ( ptn(ji ,jj+1,jk,jn) - ptn(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
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| 233 | END DO |
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| 234 | END DO |
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[5120] | 235 | END DO |
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[9814] | 236 | CALL lbc_lnk_multi("traadv_fct",ztu, 'U', -1. , ztv, 'V', -1. ) ! Lateral boundary cond. (unchanged sgn) |
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[5770] | 237 | ! |
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[6140] | 238 | DO jk = 1, jpkm1 ! Horizontal advective fluxes |
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[5770] | 239 | DO jj = 2, jpjm1 |
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| 240 | DO ji = 2, fs_jpim1 ! vector opt. |
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| 241 | zC2t_u = ptn(ji,jj,jk,jn) + ptn(ji+1,jj ,jk,jn) ! 2 x C2 interpolation of T at u- & v-points (x2) |
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| 242 | zC2t_v = ptn(ji,jj,jk,jn) + ptn(ji ,jj+1,jk,jn) |
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| 243 | ! ! C4 interpolation of T at u- & v-points (x2) |
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| 244 | zC4t_u = zC2t_u + r1_6 * ( ztu(ji-1,jj ,jk) - ztu(ji+1,jj ,jk) ) |
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| 245 | zC4t_v = zC2t_v + r1_6 * ( ztv(ji ,jj-1,jk) - ztv(ji ,jj+1,jk) ) |
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| 246 | ! ! C4 minus upstream advective fluxes |
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| 247 | zwx(ji,jj,jk) = 0.5_wp * pun(ji,jj,jk) * zC4t_u - zwx(ji,jj,jk) |
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| 248 | zwy(ji,jj,jk) = 0.5_wp * pvn(ji,jj,jk) * zC4t_v - zwy(ji,jj,jk) |
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| 249 | END DO |
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| 250 | END DO |
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| 251 | END DO |
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| 252 | ! |
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| 253 | END SELECT |
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[6140] | 254 | ! |
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| 255 | SELECT CASE( kn_fct_v ) !* vertical anti-diffusive fluxes (w-masked interior values) |
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[5770] | 256 | ! |
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[6140] | 257 | CASE( 2 ) !- 2nd order centered |
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[5770] | 258 | DO jk = 2, jpkm1 |
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| 259 | DO jj = 2, jpjm1 |
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| 260 | DO ji = fs_2, fs_jpim1 |
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[6140] | 261 | zwz(ji,jj,jk) = ( pwn(ji,jj,jk) * 0.5_wp * ( ptn(ji,jj,jk,jn) + ptn(ji,jj,jk-1,jn) ) & |
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| 262 | & - zwz(ji,jj,jk) ) * wmask(ji,jj,jk) |
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[5770] | 263 | END DO |
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| 264 | END DO |
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| 265 | END DO |
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| 266 | ! |
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[6140] | 267 | CASE( 4 ) !- 4th order COMPACT |
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| 268 | CALL interp_4th_cpt( ptn(:,:,:,jn) , ztw ) ! zwt = COMPACT interpolation of T at w-point |
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[5770] | 269 | DO jk = 2, jpkm1 |
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| 270 | DO jj = 2, jpjm1 |
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| 271 | DO ji = fs_2, fs_jpim1 |
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| 272 | zwz(ji,jj,jk) = ( pwn(ji,jj,jk) * ztw(ji,jj,jk) - zwz(ji,jj,jk) ) * wmask(ji,jj,jk) |
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| 273 | END DO |
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| 274 | END DO |
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| 275 | END DO |
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| 276 | ! |
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| 277 | END SELECT |
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[6140] | 278 | IF( ln_linssh ) THEN ! top ocean value: high order = upstream ==>> zwz=0 |
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[7753] | 279 | zwz(:,:,1) = 0._wp ! only ocean surface as interior zwz values have been w-masked |
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[6140] | 280 | ENDIF |
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[5770] | 281 | ! |
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[9814] | 282 | CALL lbc_lnk_multi("traadv_fct",zwx, 'U', -1. , zwy, 'V', -1., zwz, 'W', 1. ) |
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[6140] | 283 | ! |
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[5770] | 284 | ! !== monotonicity algorithm ==! |
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| 285 | ! |
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[2528] | 286 | CALL nonosc( ptb(:,:,:,jn), zwx, zwy, zwz, zwi, p2dt ) |
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[6140] | 287 | ! |
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[5770] | 288 | ! !== final trend with corrected fluxes ==! |
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| 289 | ! |
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[216] | 290 | DO jk = 1, jpkm1 |
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| 291 | DO jj = 2, jpjm1 |
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[2528] | 292 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[5770] | 293 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
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| 294 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
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| 295 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) & |
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[6140] | 296 | & * r1_e1e2t(ji,jj) / e3t_n(ji,jj,jk) |
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[216] | 297 | END DO |
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| 298 | END DO |
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| 299 | END DO |
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[5770] | 300 | ! |
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[9019] | 301 | IF( l_trd .OR. l_hst ) THEN ! trend diagnostics // heat/salt transport |
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| 302 | ztrdx(:,:,:) = ztrdx(:,:,:) + zwx(:,:,:) ! <<< add anti-diffusive fluxes |
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| 303 | ztrdy(:,:,:) = ztrdy(:,:,:) + zwy(:,:,:) ! to upstream fluxes |
---|
| 304 | ztrdz(:,:,:) = ztrdz(:,:,:) + zwz(:,:,:) ! |
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[5770] | 305 | ! |
---|
[9019] | 306 | IF( l_trd ) THEN ! trend diagnostics |
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| 307 | CALL trd_tra( kt, cdtype, jn, jptra_xad, ztrdx, pun, ptn(:,:,:,jn) ) |
---|
| 308 | CALL trd_tra( kt, cdtype, jn, jptra_yad, ztrdy, pvn, ptn(:,:,:,jn) ) |
---|
| 309 | CALL trd_tra( kt, cdtype, jn, jptra_zad, ztrdz, pwn, ptn(:,:,:,jn) ) |
---|
| 310 | ENDIF |
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| 311 | ! ! heat/salt transport |
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| 312 | IF( l_hst ) CALL dia_ar5_hst( jn, 'adv', ztrdx(:,:,:), ztrdy(:,:,:) ) |
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[5770] | 313 | ! |
---|
[9019] | 314 | DEALLOCATE( ztrdx, ztrdy, ztrdz ) |
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| 315 | ENDIF |
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| 316 | IF( l_ptr ) THEN ! "Poleward" transports |
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| 317 | zptry(:,:,:) = zptry(:,:,:) + zwy(:,:,:) ! <<< add anti-diffusive fluxes |
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[7646] | 318 | CALL dia_ptr_hst( jn, 'adv', zptry(:,:,:) ) |
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[9019] | 319 | DEALLOCATE( zptry ) |
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[2528] | 320 | ENDIF |
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[503] | 321 | ! |
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[6140] | 322 | END DO ! end of tracer loop |
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[503] | 323 | ! |
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[5770] | 324 | END SUBROUTINE tra_adv_fct |
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[3] | 325 | |
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[5737] | 326 | |
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[2528] | 327 | SUBROUTINE nonosc( pbef, paa, pbb, pcc, paft, p2dt ) |
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[10136] | 328 | #ifdef SCOREP_USER_ENABLE |
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| 329 | use mpi |
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| 330 | #include "scorep/SCOREP_User.inc" |
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| 331 | #endif |
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[3] | 332 | !!--------------------------------------------------------------------- |
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| 333 | !! *** ROUTINE nonosc *** |
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| 334 | !! |
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| 335 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
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| 336 | !! scheme and the before field by a nonoscillatory algorithm |
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| 337 | !! |
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| 338 | !! ** Method : ... ??? |
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| 339 | !! warning : pbef and paft must be masked, but the boundaries |
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| 340 | !! conditions on the fluxes are not necessary zalezak (1979) |
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| 341 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
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| 342 | !! in-space based differencing for fluid |
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| 343 | !!---------------------------------------------------------------------- |
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[6140] | 344 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
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[2528] | 345 | REAL(wp), DIMENSION (jpi,jpj,jpk), INTENT(in ) :: pbef, paft ! before & after field |
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| 346 | REAL(wp), DIMENSION (jpi,jpj,jpk), INTENT(inout) :: paa, pbb, pcc ! monotonic fluxes in the 3 directions |
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[2715] | 347 | ! |
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[4990] | 348 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 349 | INTEGER :: ikm1 ! local integer |
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[6140] | 350 | REAL(wp) :: zpos, zneg, zbt, za, zb, zc, zbig, zrtrn ! local scalars |
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[2715] | 351 | REAL(wp) :: zau, zbu, zcu, zav, zbv, zcv, zup, zdo ! - - |
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[9019] | 352 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zbetup, zbetdo, zbup, zbdo |
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[10136] | 353 | !dir$ attributes align:64 :: zbetup, zbetdo, zbup, zbdo |
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| 354 | #ifdef SCOREP_USER_ENABLE |
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| 355 | integer :: ier |
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| 356 | SCOREP_USER_REGION_DEFINE( reg_nonosc ) |
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| 357 | SCOREP_USER_REGION_DEFINE( reg_nonosc_setup ) |
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| 358 | SCOREP_USER_REGION_DEFINE( reg_nonosc_cb1 ) |
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| 359 | SCOREP_USER_REGION_DEFINE( reg_nonosc_cb2 ) |
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| 360 | SCOREP_USER_REGION_DEFINE( reg_nonosc_barrier ) |
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| 361 | SCOREP_USER_REGION_DEFINE( reg_nonosc_imbalance ) |
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| 362 | |
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| 363 | SCOREP_USER_REGION_BEGIN( reg_nonosc_barrier, "nonosc barrier", SCOREP_USER_REGION_TYPE_COMMON ) |
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| 364 | call MPI_Barrier(MPI_COMM_WORLD, ier) |
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| 365 | SCOREP_USER_REGION_END( reg_nonosc_barrier ) |
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| 366 | SCOREP_USER_REGION_BEGIN( reg_nonosc, "nonosc", SCOREP_USER_REGION_TYPE_FUNCTION ) |
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| 367 | SCOREP_USER_REGION_BEGIN( reg_nonosc_setup, "nonosc setup", SCOREP_USER_REGION_TYPE_COMMON ) |
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| 368 | #endif |
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| 369 | IF( ln_timing ) CALL timing_start( 'nonosc' ) |
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[3] | 370 | !!---------------------------------------------------------------------- |
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[3294] | 371 | ! |
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[2715] | 372 | zbig = 1.e+40_wp |
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| 373 | zrtrn = 1.e-15_wp |
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[10136] | 374 | #ifndef BULL_NONOSC_INIT |
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[7753] | 375 | zbetup(:,:,:) = 0._wp ; zbetdo(:,:,:) = 0._wp |
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[10136] | 376 | #else |
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| 377 | zbetup(:,:,jpk) = 0._wp ; zbetdo(:,:,jpk) = 0._wp |
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| 378 | #endif |
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[785] | 379 | |
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[3] | 380 | ! Search local extrema |
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| 381 | ! -------------------- |
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[785] | 382 | ! max/min of pbef & paft with large negative/positive value (-/+zbig) inside land |
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[4990] | 383 | zbup = MAX( pbef * tmask - zbig * ( 1._wp - tmask ), & |
---|
| 384 | & paft * tmask - zbig * ( 1._wp - tmask ) ) |
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| 385 | zbdo = MIN( pbef * tmask + zbig * ( 1._wp - tmask ), & |
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| 386 | & paft * tmask + zbig * ( 1._wp - tmask ) ) |
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[785] | 387 | |
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[10136] | 388 | #ifdef SCOREP_USER_ENABLE |
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| 389 | SCOREP_USER_REGION_END( reg_nonosc_setup ) |
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| 390 | #endif |
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| 391 | |
---|
| 392 | #ifndef BULL_ASYNC |
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| 393 | #ifdef SCOREP_USER_ENABLE |
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| 394 | SCOREP_USER_REGION_BEGIN( reg_nonosc_cb1, "cb1", SCOREP_USER_REGION_TYPE_LOOP ) |
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| 395 | #endif |
---|
| 396 | ! loads: |
---|
| 397 | ! - zbup: ji-1/ji/ji+1, jj-1/jj/jj+1, ji/jk+1/jk-1 |
---|
| 398 | ! - zbdo: " |
---|
| 399 | ! - paa: ji-1/ji |
---|
| 400 | ! - pbb: jj-1/jj |
---|
| 401 | ! - pcc: ji, jj, jk/jk+1 |
---|
| 402 | ! - e1e2t, e3t_n, paft (*2): ji,jj,jk |
---|
| 403 | ! |
---|
| 404 | ! stores: |
---|
| 405 | ! - zbetup |
---|
| 406 | ! - zbetdo |
---|
[5120] | 407 | DO jk = 1, jpkm1 |
---|
| 408 | ikm1 = MAX(jk-1,1) |
---|
| 409 | DO jj = 2, jpjm1 |
---|
| 410 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 411 | |
---|
[785] | 412 | ! search maximum in neighbourhood |
---|
| 413 | zup = MAX( zbup(ji ,jj ,jk ), & |
---|
| 414 | & zbup(ji-1,jj ,jk ), zbup(ji+1,jj ,jk ), & |
---|
| 415 | & zbup(ji ,jj-1,jk ), zbup(ji ,jj+1,jk ), & |
---|
| 416 | & zbup(ji ,jj ,ikm1), zbup(ji ,jj ,jk+1) ) |
---|
[3] | 417 | |
---|
[785] | 418 | ! search minimum in neighbourhood |
---|
| 419 | zdo = MIN( zbdo(ji ,jj ,jk ), & |
---|
| 420 | & zbdo(ji-1,jj ,jk ), zbdo(ji+1,jj ,jk ), & |
---|
| 421 | & zbdo(ji ,jj-1,jk ), zbdo(ji ,jj+1,jk ), & |
---|
| 422 | & zbdo(ji ,jj ,ikm1), zbdo(ji ,jj ,jk+1) ) |
---|
[3] | 423 | |
---|
[785] | 424 | ! positive part of the flux |
---|
[3] | 425 | zpos = MAX( 0., paa(ji-1,jj ,jk ) ) - MIN( 0., paa(ji ,jj ,jk ) ) & |
---|
| 426 | & + MAX( 0., pbb(ji ,jj-1,jk ) ) - MIN( 0., pbb(ji ,jj ,jk ) ) & |
---|
| 427 | & + MAX( 0., pcc(ji ,jj ,jk+1) ) - MIN( 0., pcc(ji ,jj ,jk ) ) |
---|
[785] | 428 | |
---|
| 429 | ! negative part of the flux |
---|
[3] | 430 | zneg = MAX( 0., paa(ji ,jj ,jk ) ) - MIN( 0., paa(ji-1,jj ,jk ) ) & |
---|
| 431 | & + MAX( 0., pbb(ji ,jj ,jk ) ) - MIN( 0., pbb(ji ,jj-1,jk ) ) & |
---|
| 432 | & + MAX( 0., pcc(ji ,jj ,jk ) ) - MIN( 0., pcc(ji ,jj ,jk+1) ) |
---|
[785] | 433 | |
---|
[3] | 434 | ! up & down beta terms |
---|
[6140] | 435 | zbt = e1e2t(ji,jj) * e3t_n(ji,jj,jk) / p2dt |
---|
[785] | 436 | zbetup(ji,jj,jk) = ( zup - paft(ji,jj,jk) ) / ( zpos + zrtrn ) * zbt |
---|
| 437 | zbetdo(ji,jj,jk) = ( paft(ji,jj,jk) - zdo ) / ( zneg + zrtrn ) * zbt |
---|
[3] | 438 | END DO |
---|
| 439 | END DO |
---|
| 440 | END DO |
---|
[10136] | 441 | #ifdef SCOREP_USER_ENABLE |
---|
| 442 | SCOREP_USER_REGION_END( reg_nonosc_cb1 ) |
---|
| 443 | #endif |
---|
[9814] | 444 | CALL lbc_lnk_multi("traadv_fct",zbetup, 'T', 1. , zbetdo, 'T', 1. ) ! lateral boundary cond. (unchanged sign) |
---|
[10136] | 445 | #else |
---|
| 446 | call lbc_lnk_multi_async( "traadv_fct", cb1, zbetup, 'T', 1. , zbetdo, 'T', 1. ) ! lateral boundary cond. (unchanged sign) |
---|
| 447 | #endif |
---|
[3] | 448 | |
---|
[10136] | 449 | #ifndef BULL_ASYNC |
---|
[237] | 450 | ! 3. monotonic flux in the i & j direction (paa & pbb) |
---|
| 451 | ! ---------------------------------------- |
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[10136] | 452 | #ifdef SCOREP_USER_ENABLE |
---|
| 453 | SCOREP_USER_REGION_BEGIN( reg_nonosc_cb2, "cb2", SCOREP_USER_REGION_TYPE_LOOP ) |
---|
| 454 | #endif |
---|
[3] | 455 | DO jk = 1, jpkm1 |
---|
| 456 | DO jj = 2, jpjm1 |
---|
| 457 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[4990] | 458 | zau = MIN( 1._wp, zbetdo(ji,jj,jk), zbetup(ji+1,jj,jk) ) |
---|
| 459 | zbu = MIN( 1._wp, zbetup(ji,jj,jk), zbetdo(ji+1,jj,jk) ) |
---|
[785] | 460 | zcu = ( 0.5 + SIGN( 0.5 , paa(ji,jj,jk) ) ) |
---|
[4990] | 461 | paa(ji,jj,jk) = paa(ji,jj,jk) * ( zcu * zau + ( 1._wp - zcu) * zbu ) |
---|
[3] | 462 | |
---|
[4990] | 463 | zav = MIN( 1._wp, zbetdo(ji,jj,jk), zbetup(ji,jj+1,jk) ) |
---|
| 464 | zbv = MIN( 1._wp, zbetup(ji,jj,jk), zbetdo(ji,jj+1,jk) ) |
---|
[785] | 465 | zcv = ( 0.5 + SIGN( 0.5 , pbb(ji,jj,jk) ) ) |
---|
[4990] | 466 | pbb(ji,jj,jk) = pbb(ji,jj,jk) * ( zcv * zav + ( 1._wp - zcv) * zbv ) |
---|
[3] | 467 | |
---|
| 468 | ! monotonic flux in the k direction, i.e. pcc |
---|
| 469 | ! ------------------------------------------- |
---|
[785] | 470 | za = MIN( 1., zbetdo(ji,jj,jk+1), zbetup(ji,jj,jk) ) |
---|
| 471 | zb = MIN( 1., zbetup(ji,jj,jk+1), zbetdo(ji,jj,jk) ) |
---|
| 472 | zc = ( 0.5 + SIGN( 0.5 , pcc(ji,jj,jk+1) ) ) |
---|
[4990] | 473 | pcc(ji,jj,jk+1) = pcc(ji,jj,jk+1) * ( zc * za + ( 1._wp - zc) * zb ) |
---|
[3] | 474 | END DO |
---|
| 475 | END DO |
---|
| 476 | END DO |
---|
[10136] | 477 | #ifdef SCOREP_USER_ENABLE |
---|
| 478 | SCOREP_USER_REGION_END( reg_nonosc_cb2 ) |
---|
| 479 | #endif |
---|
[9814] | 480 | CALL lbc_lnk_multi("traadv_fct",paa, 'U', -1. , pbb, 'V', -1. ) ! lateral boundary condition (changed sign) |
---|
[10136] | 481 | #else |
---|
| 482 | call lbc_lnk_multi_async( "traadv_fct", cb2, paa, 'U', -1. , pbb, 'V', -1. ) ! lateral boundary condition (changed sign) |
---|
| 483 | #endif |
---|
[503] | 484 | ! |
---|
[10136] | 485 | IF( ln_timing ) CALL timing_stop( 'nonosc' ) |
---|
| 486 | #ifdef SCOREP_USER_ENABLE |
---|
| 487 | SCOREP_USER_REGION_END( reg_nonosc ) |
---|
| 488 | SCOREP_USER_REGION_BEGIN( reg_nonosc_imbalance, "nonosc imbalance", SCOREP_USER_REGION_TYPE_COMMON ) |
---|
| 489 | call MPI_Barrier(MPI_COMM_WORLD, ier) |
---|
| 490 | SCOREP_USER_REGION_END( reg_nonosc_imbalance ) |
---|
| 491 | #endif |
---|
| 492 | #ifdef BULL_ASYNC |
---|
| 493 | contains |
---|
| 494 | subroutine cb1(i0, i1, j0, j1, k0, k1, buf) |
---|
| 495 | integer, intent(in) :: i0, i1, j0, j1, k0, k1 |
---|
| 496 | real(wp), dimension(:,:,:,:,:,:), optional, intent(out) :: buf |
---|
| 497 | integer jji, jjj, jjk |
---|
| 498 | real(wp) :: p2dt_inv |
---|
| 499 | !REAL(wp), DIMENSION (40,jpj,jpk) :: paa, pbb, pcc ! monotonic fluxes in the 3 directions |
---|
| 500 | !REAL(wp), DIMENSION (40,jpj,jpk) :: e3t_n, paft |
---|
| 501 | !REAL(wp), DIMENSION (40,jpj) :: e1e2t |
---|
| 502 | !REAL(wp), DIMENSION(40,jpj,jpk) :: zbetup, zbetdo, zbup, zbdo |
---|
| 503 | !DIR$ ASSUME_ALIGNED zbup:64 |
---|
| 504 | !DIR$ ASSUME (jpi .EQ.40) |
---|
| 505 | !DIR$ ASSUME (jpj .EQ.42) |
---|
| 506 | !DIR$ ASSUME (jpk .EQ.75) |
---|
| 507 | |
---|
| 508 | p2dt_inv = 1._wp * p2dt |
---|
| 509 | if(i0 == i1) then |
---|
| 510 | ji=i0 |
---|
| 511 | ! DO jjj = j0, j1, 8 |
---|
| 512 | DO jk = k0, k1 |
---|
| 513 | ikm1 = MAX(jk-1,1) |
---|
| 514 | !DIR$ vector always |
---|
| 515 | DO jj = j0, j1 |
---|
| 516 | !DO jj = jjj, min(jjj+7, j1) |
---|
| 517 | ! search maximum in neighbourhood |
---|
| 518 | zup = MAX( zbup(ji ,jj ,jk ), & |
---|
| 519 | & zbup(ji-1,jj ,jk ), zbup(ji+1,jj ,jk ), & |
---|
| 520 | & zbup(ji ,jj-1,jk ), zbup(ji ,jj+1,jk ), & |
---|
| 521 | & zbup(ji ,jj ,ikm1), zbup(ji ,jj ,jk+1) ) |
---|
| 522 | |
---|
| 523 | ! search minimum in neighbourhood |
---|
| 524 | zdo = MIN( zbdo(ji ,jj ,jk ), & |
---|
| 525 | & zbdo(ji-1,jj ,jk ), zbdo(ji+1,jj ,jk ), & |
---|
| 526 | & zbdo(ji ,jj-1,jk ), zbdo(ji ,jj+1,jk ), & |
---|
| 527 | & zbdo(ji ,jj ,ikm1), zbdo(ji ,jj ,jk+1) ) |
---|
| 528 | |
---|
| 529 | ! positive part of the flux |
---|
| 530 | zpos = MAX( 0., paa(ji-1,jj ,jk ) ) - MIN( 0., paa(ji ,jj ,jk ) ) & |
---|
| 531 | & + MAX( 0., pbb(ji ,jj-1,jk ) ) - MIN( 0., pbb(ji ,jj ,jk ) ) & |
---|
| 532 | & + MAX( 0., pcc(ji ,jj ,jk+1) ) - MIN( 0., pcc(ji ,jj ,jk ) ) |
---|
| 533 | |
---|
| 534 | ! negative part of the flux |
---|
| 535 | zneg = MAX( 0., paa(ji ,jj ,jk ) ) - MIN( 0., paa(ji-1,jj ,jk ) ) & |
---|
| 536 | & + MAX( 0., pbb(ji ,jj ,jk ) ) - MIN( 0., pbb(ji ,jj-1,jk ) ) & |
---|
| 537 | & + MAX( 0., pcc(ji ,jj ,jk ) ) - MIN( 0., pcc(ji ,jj ,jk+1) ) |
---|
| 538 | |
---|
| 539 | ! up & down beta terms |
---|
| 540 | zbt = e1e2t(ji,jj) * e3t_n(ji,jj,jk) * p2dt_inv |
---|
| 541 | zbetup(ji,jj,jk) = ( zup - paft(ji,jj,jk) ) / ( zpos + zrtrn ) * zbt |
---|
| 542 | zbetdo(ji,jj,jk) = ( paft(ji,jj,jk) - zdo ) / ( zneg + zrtrn ) * zbt |
---|
| 543 | |
---|
| 544 | #ifdef BULL_CB_WITH_BUF |
---|
| 545 | ! zt3ew(:,jh,jk,jl,jf,1) = ARRAY_IN(nn_hls+jh,:,jk,jl,jf |
---|
| 546 | buf(jj,1,jk,1,1,1) = zbetup(ji,jj,jk) |
---|
| 547 | buf(jj,1,jk,1,2,1) = zbetdo(ji,jj,jk) |
---|
| 548 | #endif |
---|
| 549 | END DO |
---|
| 550 | END DO |
---|
| 551 | !end do |
---|
| 552 | else |
---|
| 553 | DO jk = k0, k1 |
---|
| 554 | ikm1 = MAX(jk-1,1) |
---|
| 555 | DO jj = j0, j1 |
---|
| 556 | !DIR$ vector always |
---|
| 557 | DO ji = i0, i1 |
---|
| 558 | |
---|
| 559 | ! search maximum in neighbourhood |
---|
| 560 | zup = MAX( zbup(ji ,jj ,jk ), & |
---|
| 561 | & zbup(ji-1,jj ,jk ), zbup(ji+1,jj ,jk ), & |
---|
| 562 | & zbup(ji ,jj-1,jk ), zbup(ji ,jj+1,jk ), & |
---|
| 563 | & zbup(ji ,jj ,ikm1), zbup(ji ,jj ,jk+1) ) |
---|
| 564 | |
---|
| 565 | ! search minimum in neighbourhood |
---|
| 566 | zdo = MIN( zbdo(ji ,jj ,jk ), & |
---|
| 567 | & zbdo(ji-1,jj ,jk ), zbdo(ji+1,jj ,jk ), & |
---|
| 568 | & zbdo(ji ,jj-1,jk ), zbdo(ji ,jj+1,jk ), & |
---|
| 569 | & zbdo(ji ,jj ,ikm1), zbdo(ji ,jj ,jk+1) ) |
---|
| 570 | |
---|
| 571 | ! positive part of the flux |
---|
| 572 | zpos = MAX( 0., paa(ji-1,jj ,jk ) ) - MIN( 0., paa(ji ,jj ,jk ) ) & |
---|
| 573 | & + MAX( 0., pbb(ji ,jj-1,jk ) ) - MIN( 0., pbb(ji ,jj ,jk ) ) & |
---|
| 574 | & + MAX( 0., pcc(ji ,jj ,jk+1) ) - MIN( 0., pcc(ji ,jj ,jk ) ) |
---|
| 575 | |
---|
| 576 | ! negative part of the flux |
---|
| 577 | zneg = MAX( 0., paa(ji ,jj ,jk ) ) - MIN( 0., paa(ji-1,jj ,jk ) ) & |
---|
| 578 | & + MAX( 0., pbb(ji ,jj ,jk ) ) - MIN( 0., pbb(ji ,jj-1,jk ) ) & |
---|
| 579 | & + MAX( 0., pcc(ji ,jj ,jk ) ) - MIN( 0., pcc(ji ,jj ,jk+1) ) |
---|
| 580 | |
---|
| 581 | ! up & down beta terms |
---|
| 582 | zbt = e1e2t(ji,jj) * e3t_n(ji,jj,jk) * p2dt_inv |
---|
| 583 | zbetup(ji,jj,jk) = ( zup - paft(ji,jj,jk) ) / ( zpos + zrtrn ) * zbt |
---|
| 584 | zbetdo(ji,jj,jk) = ( paft(ji,jj,jk) - zdo ) / ( zneg + zrtrn ) * zbt |
---|
| 585 | |
---|
| 586 | END DO |
---|
| 587 | END DO |
---|
| 588 | END DO |
---|
| 589 | endif |
---|
| 590 | |
---|
| 591 | end subroutine |
---|
| 592 | subroutine cb2(i0, i1, j0, j1, k0, k1, buf) |
---|
| 593 | integer, intent(in) :: i0, i1, j0, j1, k0, k1 |
---|
| 594 | real(wp), dimension(:,:,:,:,:,:), optional, intent(out) :: buf |
---|
| 595 | integer jji, jjj, jjk |
---|
| 596 | |
---|
| 597 | ! 3. monotonic flux in the i & j direction (paa & pbb) |
---|
| 598 | if(i0 == i1) then |
---|
| 599 | ji=i0 |
---|
| 600 | do jjj=j0, j1, 8 |
---|
| 601 | DO jk = k0, k1 |
---|
| 602 | !DIR$ vector always |
---|
| 603 | !DO jj = j0, j1 |
---|
| 604 | DO jj = jjj, min(jjj+7, j1) |
---|
| 605 | zau = MIN( 1._wp, zbetdo(ji,jj,jk), zbetup(ji+1,jj,jk) ) |
---|
| 606 | zbu = MIN( 1._wp, zbetup(ji,jj,jk), zbetdo(ji+1,jj,jk) ) |
---|
| 607 | zcu = ( 0.5 + SIGN( 0.5 , paa(ji,jj,jk) ) ) |
---|
| 608 | paa(ji,jj,jk) = paa(ji,jj,jk) * ( zcu * zau + ( 1._wp - zcu) * zbu ) |
---|
| 609 | |
---|
| 610 | zav = MIN( 1._wp, zbetdo(ji,jj,jk), zbetup(ji,jj+1,jk) ) |
---|
| 611 | zbv = MIN( 1._wp, zbetup(ji,jj,jk), zbetdo(ji,jj+1,jk) ) |
---|
| 612 | zcv = ( 0.5 + SIGN( 0.5 , pbb(ji,jj,jk) ) ) |
---|
| 613 | pbb(ji,jj,jk) = pbb(ji,jj,jk) * ( zcv * zav + ( 1._wp - zcv) * zbv ) |
---|
| 614 | |
---|
| 615 | ! monotonic flux in the k direction, i.e. pcc |
---|
| 616 | ! ------------------------------------------- |
---|
| 617 | za = MIN( 1., zbetdo(ji,jj,jk+1), zbetup(ji,jj,jk) ) |
---|
| 618 | zb = MIN( 1., zbetup(ji,jj,jk+1), zbetdo(ji,jj,jk) ) |
---|
| 619 | zc = ( 0.5 + SIGN( 0.5 , pcc(ji,jj,jk+1) ) ) |
---|
| 620 | pcc(ji,jj,jk+1) = pcc(ji,jj,jk+1) * ( zc * za + ( 1._wp - zc) * zb ) |
---|
| 621 | #ifdef BULL_CB_WITH_BUF |
---|
| 622 | ! zt3ew(:,jh,jk,jl,jf,1) = ARRAY_IN(nn_hls+jh,:,jk,jl,jf |
---|
| 623 | buf(jj,1,jk,1,1,1) = paa(ji,jj,jk) |
---|
| 624 | buf(jj,1,jk,1,2,1) = pbb(ji,jj,jk) |
---|
| 625 | #endif |
---|
| 626 | END DO |
---|
| 627 | END DO |
---|
| 628 | end do |
---|
| 629 | else |
---|
| 630 | DO jk = k0, k1 |
---|
| 631 | DO jj = j0, j1 |
---|
| 632 | !DIR$ vector always |
---|
| 633 | DO ji = i0, i1 |
---|
| 634 | zau = MIN( 1._wp, zbetdo(ji,jj,jk), zbetup(ji+1,jj,jk) ) |
---|
| 635 | zbu = MIN( 1._wp, zbetup(ji,jj,jk), zbetdo(ji+1,jj,jk) ) |
---|
| 636 | zcu = ( 0.5 + SIGN( 0.5 , paa(ji,jj,jk) ) ) |
---|
| 637 | paa(ji,jj,jk) = paa(ji,jj,jk) * ( zcu * zau + ( 1._wp - zcu) * zbu ) |
---|
| 638 | |
---|
| 639 | zav = MIN( 1._wp, zbetdo(ji,jj,jk), zbetup(ji,jj+1,jk) ) |
---|
| 640 | zbv = MIN( 1._wp, zbetup(ji,jj,jk), zbetdo(ji,jj+1,jk) ) |
---|
| 641 | zcv = ( 0.5 + SIGN( 0.5 , pbb(ji,jj,jk) ) ) |
---|
| 642 | pbb(ji,jj,jk) = pbb(ji,jj,jk) * ( zcv * zav + ( 1._wp - zcv) * zbv ) |
---|
| 643 | |
---|
| 644 | ! monotonic flux in the k direction, i.e. pcc |
---|
| 645 | ! ------------------------------------------- |
---|
| 646 | za = MIN( 1., zbetdo(ji,jj,jk+1), zbetup(ji,jj,jk) ) |
---|
| 647 | zb = MIN( 1., zbetup(ji,jj,jk+1), zbetdo(ji,jj,jk) ) |
---|
| 648 | zc = ( 0.5 + SIGN( 0.5 , pcc(ji,jj,jk+1) ) ) |
---|
| 649 | pcc(ji,jj,jk+1) = pcc(ji,jj,jk+1) * ( zc * za + ( 1._wp - zc) * zb ) |
---|
| 650 | END DO |
---|
| 651 | END DO |
---|
| 652 | END DO |
---|
| 653 | endif |
---|
| 654 | end subroutine |
---|
| 655 | #endif |
---|
[3] | 656 | END SUBROUTINE nonosc |
---|
| 657 | |
---|
[5770] | 658 | |
---|
[7646] | 659 | SUBROUTINE interp_4th_cpt_org( pt_in, pt_out ) |
---|
[5770] | 660 | !!---------------------------------------------------------------------- |
---|
[7646] | 661 | !! *** ROUTINE interp_4th_cpt_org *** |
---|
[5770] | 662 | !! |
---|
| 663 | !! ** Purpose : Compute the interpolation of tracer at w-point |
---|
| 664 | !! |
---|
| 665 | !! ** Method : 4th order compact interpolation |
---|
| 666 | !!---------------------------------------------------------------------- |
---|
| 667 | REAL(wp),DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pt_in ! now tracer fields |
---|
| 668 | REAL(wp),DIMENSION(jpi,jpj,jpk), INTENT( out) :: pt_out ! now tracer field interpolated at w-pts |
---|
| 669 | ! |
---|
| 670 | INTEGER :: ji, jj, jk ! dummy loop integers |
---|
| 671 | REAL(wp),DIMENSION(jpi,jpj,jpk) :: zwd, zwi, zws, zwrm, zwt |
---|
| 672 | !!---------------------------------------------------------------------- |
---|
| 673 | |
---|
| 674 | DO jk = 3, jpkm1 !== build the three diagonal matrix ==! |
---|
| 675 | DO jj = 1, jpj |
---|
| 676 | DO ji = 1, jpi |
---|
| 677 | zwd (ji,jj,jk) = 4._wp |
---|
| 678 | zwi (ji,jj,jk) = 1._wp |
---|
| 679 | zws (ji,jj,jk) = 1._wp |
---|
| 680 | zwrm(ji,jj,jk) = 3._wp * ( pt_in(ji,jj,jk-1) + pt_in(ji,jj,jk) ) |
---|
| 681 | ! |
---|
| 682 | IF( tmask(ji,jj,jk+1) == 0._wp) THEN ! Switch to second order centered at bottom |
---|
| 683 | zwd (ji,jj,jk) = 1._wp |
---|
| 684 | zwi (ji,jj,jk) = 0._wp |
---|
| 685 | zws (ji,jj,jk) = 0._wp |
---|
| 686 | zwrm(ji,jj,jk) = 0.5 * ( pt_in(ji,jj,jk-1) + pt_in(ji,jj,jk) ) |
---|
| 687 | ENDIF |
---|
| 688 | END DO |
---|
| 689 | END DO |
---|
| 690 | END DO |
---|
| 691 | ! |
---|
[7646] | 692 | jk = 2 ! Switch to second order centered at top |
---|
| 693 | DO jj = 1, jpj |
---|
| 694 | DO ji = 1, jpi |
---|
[5770] | 695 | zwd (ji,jj,jk) = 1._wp |
---|
| 696 | zwi (ji,jj,jk) = 0._wp |
---|
| 697 | zws (ji,jj,jk) = 0._wp |
---|
| 698 | zwrm(ji,jj,jk) = 0.5 * ( pt_in(ji,jj,jk-1) + pt_in(ji,jj,jk) ) |
---|
| 699 | END DO |
---|
| 700 | END DO |
---|
| 701 | ! |
---|
| 702 | ! !== tridiagonal solve ==! |
---|
| 703 | DO jj = 1, jpj ! first recurrence |
---|
| 704 | DO ji = 1, jpi |
---|
| 705 | zwt(ji,jj,2) = zwd(ji,jj,2) |
---|
| 706 | END DO |
---|
| 707 | END DO |
---|
| 708 | DO jk = 3, jpkm1 |
---|
| 709 | DO jj = 1, jpj |
---|
| 710 | DO ji = 1, jpi |
---|
| 711 | zwt(ji,jj,jk) = zwd(ji,jj,jk) - zwi(ji,jj,jk) * zws(ji,jj,jk-1) /zwt(ji,jj,jk-1) |
---|
| 712 | END DO |
---|
| 713 | END DO |
---|
| 714 | END DO |
---|
| 715 | ! |
---|
| 716 | DO jj = 1, jpj ! second recurrence: Zk = Yk - Ik / Tk-1 Zk-1 |
---|
| 717 | DO ji = 1, jpi |
---|
| 718 | pt_out(ji,jj,2) = zwrm(ji,jj,2) |
---|
| 719 | END DO |
---|
| 720 | END DO |
---|
| 721 | DO jk = 3, jpkm1 |
---|
| 722 | DO jj = 1, jpj |
---|
| 723 | DO ji = 1, jpi |
---|
| 724 | pt_out(ji,jj,jk) = zwrm(ji,jj,jk) - zwi(ji,jj,jk) / zwt(ji,jj,jk-1) *pt_out(ji,jj,jk-1) |
---|
| 725 | END DO |
---|
| 726 | END DO |
---|
| 727 | END DO |
---|
| 728 | |
---|
| 729 | DO jj = 1, jpj ! third recurrence: Xk = (Zk - Sk Xk+1 ) / Tk |
---|
| 730 | DO ji = 1, jpi |
---|
| 731 | pt_out(ji,jj,jpkm1) = pt_out(ji,jj,jpkm1) / zwt(ji,jj,jpkm1) |
---|
| 732 | END DO |
---|
| 733 | END DO |
---|
| 734 | DO jk = jpk-2, 2, -1 |
---|
| 735 | DO jj = 1, jpj |
---|
| 736 | DO ji = 1, jpi |
---|
| 737 | pt_out(ji,jj,jk) = ( pt_out(ji,jj,jk) - zws(ji,jj,jk) * pt_out(ji,jj,jk+1) ) / zwt(ji,jj,jk) |
---|
| 738 | END DO |
---|
| 739 | END DO |
---|
| 740 | END DO |
---|
| 741 | ! |
---|
[7646] | 742 | END SUBROUTINE interp_4th_cpt_org |
---|
| 743 | |
---|
| 744 | |
---|
| 745 | SUBROUTINE interp_4th_cpt( pt_in, pt_out ) |
---|
| 746 | !!---------------------------------------------------------------------- |
---|
| 747 | !! *** ROUTINE interp_4th_cpt *** |
---|
| 748 | !! |
---|
| 749 | !! ** Purpose : Compute the interpolation of tracer at w-point |
---|
| 750 | !! |
---|
| 751 | !! ** Method : 4th order compact interpolation |
---|
| 752 | !!---------------------------------------------------------------------- |
---|
| 753 | REAL(wp),DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pt_in ! field at t-point |
---|
| 754 | REAL(wp),DIMENSION(jpi,jpj,jpk), INTENT( out) :: pt_out ! field interpolated at w-point |
---|
| 755 | ! |
---|
| 756 | INTEGER :: ji, jj, jk ! dummy loop integers |
---|
| 757 | INTEGER :: ikt, ikb ! local integers |
---|
| 758 | REAL(wp),DIMENSION(jpi,jpj,jpk) :: zwd, zwi, zws, zwrm, zwt |
---|
| 759 | !!---------------------------------------------------------------------- |
---|
| 760 | ! |
---|
| 761 | ! !== build the three diagonal matrix & the RHS ==! |
---|
| 762 | ! |
---|
| 763 | DO jk = 3, jpkm1 ! interior (from jk=3 to jpk-1) |
---|
| 764 | DO jj = 2, jpjm1 |
---|
| 765 | DO ji = fs_2, fs_jpim1 |
---|
| 766 | zwd (ji,jj,jk) = 3._wp * wmask(ji,jj,jk) + 1._wp ! diagonal |
---|
| 767 | zwi (ji,jj,jk) = wmask(ji,jj,jk) ! lower diagonal |
---|
| 768 | zws (ji,jj,jk) = wmask(ji,jj,jk) ! upper diagonal |
---|
| 769 | zwrm(ji,jj,jk) = 3._wp * wmask(ji,jj,jk) & ! RHS |
---|
| 770 | & * ( pt_in(ji,jj,jk) + pt_in(ji,jj,jk-1) ) |
---|
| 771 | END DO |
---|
| 772 | END DO |
---|
| 773 | END DO |
---|
| 774 | ! |
---|
| 775 | !!gm |
---|
| 776 | ! SELECT CASE( kbc ) !* boundary condition |
---|
| 777 | ! CASE( np_NH ) ! Neumann homogeneous at top & bottom |
---|
| 778 | ! CASE( np_CEN2 ) ! 2nd order centered at top & bottom |
---|
| 779 | ! END SELECT |
---|
| 780 | !!gm |
---|
| 781 | ! |
---|
| 782 | DO jj = 2, jpjm1 ! 2nd order centered at top & bottom |
---|
| 783 | DO ji = fs_2, fs_jpim1 |
---|
| 784 | ikt = mikt(ji,jj) + 1 ! w-point below the 1st wet point |
---|
| 785 | ikb = mbkt(ji,jj) ! - above the last wet point |
---|
| 786 | ! |
---|
| 787 | zwd (ji,jj,ikt) = 1._wp ! top |
---|
| 788 | zwi (ji,jj,ikt) = 0._wp |
---|
| 789 | zws (ji,jj,ikt) = 0._wp |
---|
[10103] | 790 | zwrm(ji,jj,ikt) = 0.5_wp * ( pt_in(ji,jj,ikt-1) + pt_in(ji,jj,ikt) ) |
---|
[7646] | 791 | ! |
---|
| 792 | zwd (ji,jj,ikb) = 1._wp ! bottom |
---|
| 793 | zwi (ji,jj,ikb) = 0._wp |
---|
| 794 | zws (ji,jj,ikb) = 0._wp |
---|
[10103] | 795 | zwrm(ji,jj,ikb) = 0.5_wp * ( pt_in(ji,jj,ikb-1) + pt_in(ji,jj,ikb) ) |
---|
[7646] | 796 | END DO |
---|
| 797 | END DO |
---|
| 798 | ! |
---|
| 799 | ! !== tridiagonal solver ==! |
---|
| 800 | ! |
---|
| 801 | DO jj = 2, jpjm1 !* 1st recurrence: Tk = Dk - Ik Sk-1 / Tk-1 |
---|
| 802 | DO ji = fs_2, fs_jpim1 |
---|
| 803 | zwt(ji,jj,2) = zwd(ji,jj,2) |
---|
| 804 | END DO |
---|
| 805 | END DO |
---|
| 806 | DO jk = 3, jpkm1 |
---|
| 807 | DO jj = 2, jpjm1 |
---|
| 808 | DO ji = fs_2, fs_jpim1 |
---|
| 809 | zwt(ji,jj,jk) = zwd(ji,jj,jk) - zwi(ji,jj,jk) * zws(ji,jj,jk-1) /zwt(ji,jj,jk-1) |
---|
| 810 | END DO |
---|
| 811 | END DO |
---|
| 812 | END DO |
---|
| 813 | ! |
---|
| 814 | DO jj = 2, jpjm1 !* 2nd recurrence: Zk = Yk - Ik / Tk-1 Zk-1 |
---|
| 815 | DO ji = fs_2, fs_jpim1 |
---|
| 816 | pt_out(ji,jj,2) = zwrm(ji,jj,2) |
---|
| 817 | END DO |
---|
| 818 | END DO |
---|
| 819 | DO jk = 3, jpkm1 |
---|
| 820 | DO jj = 2, jpjm1 |
---|
| 821 | DO ji = fs_2, fs_jpim1 |
---|
| 822 | pt_out(ji,jj,jk) = zwrm(ji,jj,jk) - zwi(ji,jj,jk) / zwt(ji,jj,jk-1) *pt_out(ji,jj,jk-1) |
---|
| 823 | END DO |
---|
| 824 | END DO |
---|
| 825 | END DO |
---|
| 826 | |
---|
| 827 | DO jj = 2, jpjm1 !* 3d recurrence: Xk = (Zk - Sk Xk+1 ) / Tk |
---|
| 828 | DO ji = fs_2, fs_jpim1 |
---|
| 829 | pt_out(ji,jj,jpkm1) = pt_out(ji,jj,jpkm1) / zwt(ji,jj,jpkm1) |
---|
| 830 | END DO |
---|
| 831 | END DO |
---|
| 832 | DO jk = jpk-2, 2, -1 |
---|
| 833 | DO jj = 2, jpjm1 |
---|
| 834 | DO ji = fs_2, fs_jpim1 |
---|
| 835 | pt_out(ji,jj,jk) = ( pt_out(ji,jj,jk) - zws(ji,jj,jk) * pt_out(ji,jj,jk+1) ) / zwt(ji,jj,jk) |
---|
| 836 | END DO |
---|
| 837 | END DO |
---|
| 838 | END DO |
---|
| 839 | ! |
---|
[5770] | 840 | END SUBROUTINE interp_4th_cpt |
---|
[7646] | 841 | |
---|
| 842 | |
---|
| 843 | SUBROUTINE tridia_solver( pD, pU, pL, pRHS, pt_out , klev ) |
---|
| 844 | !!---------------------------------------------------------------------- |
---|
| 845 | !! *** ROUTINE tridia_solver *** |
---|
| 846 | !! |
---|
| 847 | !! ** Purpose : solve a symmetric 3diagonal system |
---|
| 848 | !! |
---|
| 849 | !! ** Method : solve M.t_out = RHS(t) where M is a tri diagonal matrix ( jpk*jpk ) |
---|
| 850 | !! |
---|
| 851 | !! ( D_1 U_1 0 0 0 )( t_1 ) ( RHS_1 ) |
---|
| 852 | !! ( L_2 D_2 U_2 0 0 )( t_2 ) ( RHS_2 ) |
---|
| 853 | !! ( 0 L_3 D_3 U_3 0 )( t_3 ) = ( RHS_3 ) |
---|
| 854 | !! ( ... )( ... ) ( ... ) |
---|
| 855 | !! ( 0 0 0 L_k D_k )( t_k ) ( RHS_k ) |
---|
| 856 | !! |
---|
| 857 | !! M is decomposed in the product of an upper and lower triangular matrix. |
---|
| 858 | !! The tri-diagonals matrix is given as input 3D arrays: pD, pU, pL |
---|
| 859 | !! (i.e. the Diagonal, the Upper diagonal, and the Lower diagonal). |
---|
| 860 | !! The solution is pta. |
---|
| 861 | !! The 3d array zwt is used as a work space array. |
---|
| 862 | !!---------------------------------------------------------------------- |
---|
| 863 | REAL(wp),DIMENSION(:,:,:), INTENT(in ) :: pD, pU, PL ! 3-diagonal matrix |
---|
| 864 | REAL(wp),DIMENSION(:,:,:), INTENT(in ) :: pRHS ! Right-Hand-Side |
---|
| 865 | REAL(wp),DIMENSION(:,:,:), INTENT( out) :: pt_out !!gm field at level=F(klev) |
---|
| 866 | INTEGER , INTENT(in ) :: klev ! =1 pt_out at w-level |
---|
| 867 | ! ! =0 pt at t-level |
---|
| 868 | INTEGER :: ji, jj, jk ! dummy loop integers |
---|
| 869 | INTEGER :: kstart ! local indices |
---|
| 870 | REAL(wp),DIMENSION(jpi,jpj,jpk) :: zwt ! 3D work array |
---|
| 871 | !!---------------------------------------------------------------------- |
---|
| 872 | ! |
---|
| 873 | kstart = 1 + klev |
---|
| 874 | ! |
---|
| 875 | DO jj = 2, jpjm1 !* 1st recurrence: Tk = Dk - Ik Sk-1 / Tk-1 |
---|
| 876 | DO ji = fs_2, fs_jpim1 |
---|
| 877 | zwt(ji,jj,kstart) = pD(ji,jj,kstart) |
---|
| 878 | END DO |
---|
| 879 | END DO |
---|
| 880 | DO jk = kstart+1, jpkm1 |
---|
| 881 | DO jj = 2, jpjm1 |
---|
| 882 | DO ji = fs_2, fs_jpim1 |
---|
| 883 | zwt(ji,jj,jk) = pD(ji,jj,jk) - pL(ji,jj,jk) * pU(ji,jj,jk-1) /zwt(ji,jj,jk-1) |
---|
| 884 | END DO |
---|
| 885 | END DO |
---|
| 886 | END DO |
---|
| 887 | ! |
---|
| 888 | DO jj = 2, jpjm1 !* 2nd recurrence: Zk = Yk - Ik / Tk-1 Zk-1 |
---|
| 889 | DO ji = fs_2, fs_jpim1 |
---|
| 890 | pt_out(ji,jj,kstart) = pRHS(ji,jj,kstart) |
---|
| 891 | END DO |
---|
| 892 | END DO |
---|
| 893 | DO jk = kstart+1, jpkm1 |
---|
| 894 | DO jj = 2, jpjm1 |
---|
| 895 | DO ji = fs_2, fs_jpim1 |
---|
| 896 | pt_out(ji,jj,jk) = pRHS(ji,jj,jk) - pL(ji,jj,jk) / zwt(ji,jj,jk-1) *pt_out(ji,jj,jk-1) |
---|
| 897 | END DO |
---|
| 898 | END DO |
---|
| 899 | END DO |
---|
| 900 | |
---|
| 901 | DO jj = 2, jpjm1 !* 3d recurrence: Xk = (Zk - Sk Xk+1 ) / Tk |
---|
| 902 | DO ji = fs_2, fs_jpim1 |
---|
| 903 | pt_out(ji,jj,jpkm1) = pt_out(ji,jj,jpkm1) / zwt(ji,jj,jpkm1) |
---|
| 904 | END DO |
---|
| 905 | END DO |
---|
| 906 | DO jk = jpk-2, kstart, -1 |
---|
| 907 | DO jj = 2, jpjm1 |
---|
| 908 | DO ji = fs_2, fs_jpim1 |
---|
| 909 | pt_out(ji,jj,jk) = ( pt_out(ji,jj,jk) - pU(ji,jj,jk) * pt_out(ji,jj,jk+1) ) / zwt(ji,jj,jk) |
---|
| 910 | END DO |
---|
| 911 | END DO |
---|
| 912 | END DO |
---|
| 913 | ! |
---|
| 914 | END SUBROUTINE tridia_solver |
---|
| 915 | |
---|
[3] | 916 | !!====================================================================== |
---|
[5770] | 917 | END MODULE traadv_fct |
---|