[5770] | 1 | MODULE traadv_cen |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE traadv_cen *** |
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[6140] | 4 | !! Ocean tracers: advective trend (2nd/4th order centered) |
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[5770] | 5 | !!====================================================================== |
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| 6 | !! History : 3.7 ! 2014-05 (G. Madec) original code |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | |
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| 9 | !!---------------------------------------------------------------------- |
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[6140] | 10 | !! tra_adv_cen : update the tracer trend with the advection trends using a centered or scheme (2nd or 4th order) |
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| 11 | !! NB: on the vertical it is actually a 4th order COMPACT scheme which is used |
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[5770] | 12 | !!---------------------------------------------------------------------- |
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[6140] | 13 | USE dom_oce ! ocean space and time domain |
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| 14 | USE eosbn2 ! equation of state |
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| 15 | USE traadv_fct ! acces to routine interp_4th_cpt |
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| 16 | USE trd_oce ! trends: ocean variables |
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| 17 | USE trdtra ! trends manager: tracers |
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| 18 | USE diaptr ! poleward transport diagnostics |
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[7646] | 19 | USE diaar5 ! AR5 diagnostics |
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[5770] | 20 | ! |
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[6140] | 21 | USE in_out_manager ! I/O manager |
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| 22 | USE iom ! IOM library |
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| 23 | USE trc_oce ! share passive tracers/Ocean variables |
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| 24 | USE lib_mpp ! MPP library |
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[5770] | 25 | |
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| 26 | IMPLICIT NONE |
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| 27 | PRIVATE |
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| 28 | |
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[9019] | 29 | PUBLIC tra_adv_cen ! called by traadv.F90 |
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[5770] | 30 | |
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| 31 | REAL(wp) :: r1_6 = 1._wp / 6._wp ! =1/6 |
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| 32 | |
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[9019] | 33 | LOGICAL :: l_trd ! flag to compute trends |
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| 34 | LOGICAL :: l_ptr ! flag to compute poleward transport |
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| 35 | LOGICAL :: l_hst ! flag to compute heat/salt transport |
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[7646] | 36 | |
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[5770] | 37 | !! * Substitutions |
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| 38 | # include "vectopt_loop_substitute.h90" |
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| 39 | !!---------------------------------------------------------------------- |
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[9598] | 40 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[10068] | 41 | !! $Id$ |
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| 42 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[5770] | 43 | !!---------------------------------------------------------------------- |
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| 44 | CONTAINS |
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| 45 | |
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[10806] | 46 | SUBROUTINE tra_adv_cen( kt, kit000, ktlev, cdtype, pu, pv, pw, & |
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[10802] | 47 | & pt, pt_rhs, kjpt, kn_cen_h, kn_cen_v ) |
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[5770] | 48 | !!---------------------------------------------------------------------- |
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| 49 | !! *** ROUTINE tra_adv_cen *** |
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| 50 | !! |
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| 51 | !! ** Purpose : Compute the now trend due to the advection of tracers |
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| 52 | !! and add it to the general trend of passive tracer equations. |
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| 53 | !! |
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| 54 | !! ** Method : The advection is evaluated by a 2nd or 4th order scheme |
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| 55 | !! using now fields (leap-frog scheme). |
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| 56 | !! kn_cen_h = 2 ==>> 2nd order centered scheme on the horizontal |
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| 57 | !! = 4 ==>> 4th order - - - - |
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| 58 | !! kn_cen_v = 2 ==>> 2nd order centered scheme on the vertical |
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| 59 | !! = 4 ==>> 4th order COMPACT scheme - - |
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| 60 | !! |
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[10802] | 61 | !! ** Action : - update pt_rhs with the now advective tracer trends |
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[6140] | 62 | !! - send trends to trdtra module for further diagnostcs (l_trdtra=T) |
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| 63 | !! - htr_adv, str_adv : poleward advective heat and salt transport (ln_diaptr=T) |
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[5770] | 64 | !!---------------------------------------------------------------------- |
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| 65 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 66 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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[10802] | 67 | INTEGER , INTENT(in ) :: ktlev ! time level index for source terms |
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[5770] | 68 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 69 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 70 | INTEGER , INTENT(in ) :: kn_cen_h ! =2/4 (2nd or 4th order scheme) |
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| 71 | INTEGER , INTENT(in ) :: kn_cen_v ! =2/4 (2nd or 4th order scheme) |
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[10806] | 72 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pu, pv, pw ! 3 ocean velocity components |
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[10802] | 73 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: pt ! now tracer fields |
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| 74 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pt_rhs ! tracer trend |
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[5770] | 75 | ! |
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| 76 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 77 | INTEGER :: ierr ! local integer |
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| 78 | REAL(wp) :: zC2t_u, zC4t_u ! local scalars |
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| 79 | REAL(wp) :: zC2t_v, zC4t_v ! - - |
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[9019] | 80 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwx, zwy, zwz, ztu, ztv, ztw |
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[5770] | 81 | !!---------------------------------------------------------------------- |
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| 82 | ! |
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| 83 | IF( kt == kit000 ) THEN |
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| 84 | IF(lwp) WRITE(numout,*) |
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| 85 | IF(lwp) WRITE(numout,*) 'tra_adv_cen : centered advection scheme on ', cdtype, ' order h/v =', kn_cen_h,'/', kn_cen_v |
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| 86 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~ ' |
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| 87 | ENDIF |
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[9019] | 88 | ! ! set local switches |
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[7646] | 89 | l_trd = .FALSE. |
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| 90 | l_hst = .FALSE. |
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| 91 | l_ptr = .FALSE. |
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| 92 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
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| 93 | IF( cdtype == 'TRA' .AND. ln_diaptr ) l_ptr = .TRUE. |
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| 94 | IF( cdtype == 'TRA' .AND. ( iom_use("uadv_heattr") .OR. iom_use("vadv_heattr") .OR. & |
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| 95 | & iom_use("uadv_salttr") .OR. iom_use("vadv_salttr") ) ) l_hst = .TRUE. |
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| 96 | ! |
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[6140] | 97 | ! |
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| 98 | zwz(:,:, 1 ) = 0._wp ! surface & bottom vertical flux set to zero for all tracers |
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| 99 | zwz(:,:,jpk) = 0._wp |
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[5770] | 100 | ! |
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| 101 | DO jn = 1, kjpt !== loop over the tracers ==! |
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| 102 | ! |
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[6140] | 103 | SELECT CASE( kn_cen_h ) !-- Horizontal fluxes --! |
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[5770] | 104 | ! |
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[6140] | 105 | CASE( 2 ) !* 2nd order centered |
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[5770] | 106 | DO jk = 1, jpkm1 |
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| 107 | DO jj = 1, jpjm1 |
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| 108 | DO ji = 1, fs_jpim1 ! vector opt. |
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[10802] | 109 | zwx(ji,jj,jk) = 0.5_wp * pu(ji,jj,jk) * ( pt(ji,jj,jk,jn) + pt(ji+1,jj ,jk,jn) ) |
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| 110 | zwy(ji,jj,jk) = 0.5_wp * pv(ji,jj,jk) * ( pt(ji,jj,jk,jn) + pt(ji ,jj+1,jk,jn) ) |
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[5770] | 111 | END DO |
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| 112 | END DO |
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| 113 | END DO |
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| 114 | ! |
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[6140] | 115 | CASE( 4 ) !* 4th order centered |
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| 116 | ztu(:,:,jpk) = 0._wp ! Bottom value : flux set to zero |
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[5770] | 117 | ztv(:,:,jpk) = 0._wp |
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[6140] | 118 | DO jk = 1, jpkm1 ! masked gradient |
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| 119 | DO jj = 2, jpjm1 |
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[5770] | 120 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[10802] | 121 | ztu(ji,jj,jk) = ( pt(ji+1,jj ,jk,jn) - pt(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
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| 122 | ztv(ji,jj,jk) = ( pt(ji ,jj+1,jk,jn) - pt(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
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[5770] | 123 | END DO |
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| 124 | END DO |
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| 125 | END DO |
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[10425] | 126 | CALL lbc_lnk_multi( 'traadv_cen', ztu, 'U', -1. , ztv, 'V', -1. ) ! Lateral boundary cond. |
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[5770] | 127 | ! |
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[6140] | 128 | DO jk = 1, jpkm1 ! Horizontal advective fluxes |
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[5770] | 129 | DO jj = 2, jpjm1 |
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| 130 | DO ji = 1, fs_jpim1 ! vector opt. |
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[10802] | 131 | zC2t_u = pt(ji,jj,jk,jn) + pt(ji+1,jj ,jk,jn) ! C2 interpolation of T at u- & v-points (x2) |
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| 132 | zC2t_v = pt(ji,jj,jk,jn) + pt(ji ,jj+1,jk,jn) |
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[5770] | 133 | ! ! C4 interpolation of T at u- & v-points (x2) |
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| 134 | zC4t_u = zC2t_u + r1_6 * ( ztu(ji-1,jj,jk) - ztu(ji+1,jj,jk) ) |
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| 135 | zC4t_v = zC2t_v + r1_6 * ( ztv(ji,jj-1,jk) - ztv(ji,jj+1,jk) ) |
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| 136 | ! ! C4 fluxes |
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[10802] | 137 | zwx(ji,jj,jk) = 0.5_wp * pu(ji,jj,jk) * zC4t_u |
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| 138 | zwy(ji,jj,jk) = 0.5_wp * pv(ji,jj,jk) * zC4t_v |
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[5770] | 139 | END DO |
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| 140 | END DO |
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| 141 | END DO |
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| 142 | ! |
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| 143 | CASE DEFAULT |
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| 144 | CALL ctl_stop( 'traadv_fct: wrong value for nn_fct' ) |
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| 145 | END SELECT |
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| 146 | ! |
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[6140] | 147 | SELECT CASE( kn_cen_v ) !-- Vertical fluxes --! (interior) |
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[5770] | 148 | ! |
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[6140] | 149 | CASE( 2 ) !* 2nd order centered |
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[5770] | 150 | DO jk = 2, jpk |
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| 151 | DO jj = 2, jpjm1 |
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| 152 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[10806] | 153 | zwz(ji,jj,jk) = 0.5 * pw(ji,jj,jk) * ( pt(ji,jj,jk,jn) + pt(ji,jj,jk-1,jn) ) * wmask(ji,jj,jk) |
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[5770] | 154 | END DO |
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| 155 | END DO |
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| 156 | END DO |
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| 157 | ! |
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[6140] | 158 | CASE( 4 ) !* 4th order compact |
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[10802] | 159 | CALL interp_4th_cpt( pt(:,:,:,jn) , ztw ) ! ztw = interpolated value of T at w-point |
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[5770] | 160 | DO jk = 2, jpkm1 |
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| 161 | DO jj = 2, jpjm1 |
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| 162 | DO ji = fs_2, fs_jpim1 |
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[10806] | 163 | zwz(ji,jj,jk) = pw(ji,jj,jk) * ztw(ji,jj,jk) * wmask(ji,jj,jk) |
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[5770] | 164 | END DO |
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| 165 | END DO |
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| 166 | END DO |
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| 167 | ! |
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| 168 | END SELECT |
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| 169 | ! |
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[6140] | 170 | IF( ln_linssh ) THEN !* top value (linear free surf. only as zwz is multiplied by wmask) |
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[5770] | 171 | IF( ln_isfcav ) THEN ! ice-shelf cavities (top of the ocean) |
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| 172 | DO jj = 1, jpj |
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| 173 | DO ji = 1, jpi |
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[10806] | 174 | zwz(ji,jj, mikt(ji,jj) ) = pw(ji,jj,mikt(ji,jj)) * pt(ji,jj,mikt(ji,jj),jn) |
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[5770] | 175 | END DO |
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| 176 | END DO |
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| 177 | ELSE ! no ice-shelf cavities (only ocean surface) |
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[10806] | 178 | zwz(:,:,1) = pw(:,:,1) * pt(:,:,1,jn) |
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[5770] | 179 | ENDIF |
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| 180 | ENDIF |
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| 181 | ! |
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| 182 | DO jk = 1, jpkm1 !-- Divergence of advective fluxes --! |
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| 183 | DO jj = 2, jpjm1 |
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| 184 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[10802] | 185 | pt_rhs(ji,jj,jk,jn) = pt_rhs(ji,jj,jk,jn) & |
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[5770] | 186 | & - ( 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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[10802] | 188 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,ktlev) |
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[5770] | 189 | END DO |
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| 190 | END DO |
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| 191 | END DO |
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[6140] | 192 | ! ! trend diagnostics |
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[7646] | 193 | IF( l_trd ) THEN |
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[10802] | 194 | CALL trd_tra( kt, cdtype, jn, jptra_xad, zwx, pu, pt(:,:,:,jn) ) |
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| 195 | CALL trd_tra( kt, cdtype, jn, jptra_yad, zwy, pv, pt(:,:,:,jn) ) |
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[10806] | 196 | CALL trd_tra( kt, cdtype, jn, jptra_zad, zwz, pw, pt(:,:,:,jn) ) |
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[5770] | 197 | END IF |
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[7646] | 198 | ! ! "Poleward" heat and salt transports |
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[9019] | 199 | IF( l_ptr ) CALL dia_ptr_hst( jn, 'adv', zwy(:,:,:) ) |
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[7646] | 200 | ! ! heat and salt transport |
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[9019] | 201 | IF( l_hst ) CALL dia_ar5_hst( jn, 'adv', zwx(:,:,:), zwy(:,:,:) ) |
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[5770] | 202 | ! |
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| 203 | END DO |
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| 204 | ! |
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| 205 | END SUBROUTINE tra_adv_cen |
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| 206 | |
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| 207 | !!====================================================================== |
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| 208 | END MODULE traadv_cen |
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