[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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| 46 | SUBROUTINE tra_adv_cen( kt, kit000, cdtype, pun, pvn, pwn, & |
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[9019] | 47 | & ptn, pta, 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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[6140] | 61 | !! ** Action : - update pta with the now advective tracer trends |
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| 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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| 67 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 68 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 69 | INTEGER , INTENT(in ) :: kn_cen_h ! =2/4 (2nd or 4th order scheme) |
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| 70 | INTEGER , INTENT(in ) :: kn_cen_v ! =2/4 (2nd or 4th order scheme) |
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| 71 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components |
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| 72 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptn ! now tracer fields |
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| 73 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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| 74 | ! |
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| 75 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 76 | INTEGER :: ierr ! local integer |
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| 77 | REAL(wp) :: zC2t_u, zC4t_u ! local scalars |
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| 78 | REAL(wp) :: zC2t_v, zC4t_v ! - - |
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[9019] | 79 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwx, zwy, zwz, ztu, ztv, ztw |
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[5770] | 80 | !!---------------------------------------------------------------------- |
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| 81 | ! |
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| 82 | IF( kt == kit000 ) THEN |
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| 83 | IF(lwp) WRITE(numout,*) |
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| 84 | 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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| 85 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~ ' |
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| 86 | ENDIF |
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[9019] | 87 | ! ! set local switches |
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[7646] | 88 | l_trd = .FALSE. |
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| 89 | l_hst = .FALSE. |
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| 90 | l_ptr = .FALSE. |
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| 91 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
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| 92 | IF( cdtype == 'TRA' .AND. ln_diaptr ) l_ptr = .TRUE. |
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| 93 | IF( cdtype == 'TRA' .AND. ( iom_use("uadv_heattr") .OR. iom_use("vadv_heattr") .OR. & |
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| 94 | & iom_use("uadv_salttr") .OR. iom_use("vadv_salttr") ) ) l_hst = .TRUE. |
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| 95 | ! |
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[6140] | 96 | ! |
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| 97 | zwz(:,:, 1 ) = 0._wp ! surface & bottom vertical flux set to zero for all tracers |
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| 98 | zwz(:,:,jpk) = 0._wp |
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[5770] | 99 | ! |
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| 100 | DO jn = 1, kjpt !== loop over the tracers ==! |
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| 101 | ! |
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[6140] | 102 | SELECT CASE( kn_cen_h ) !-- Horizontal fluxes --! |
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[5770] | 103 | ! |
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[6140] | 104 | CASE( 2 ) !* 2nd order centered |
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[5770] | 105 | DO jk = 1, jpkm1 |
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| 106 | DO jj = 1, jpjm1 |
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| 107 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 108 | zwx(ji,jj,jk) = 0.5_wp * pun(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji+1,jj ,jk,jn) ) |
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| 109 | zwy(ji,jj,jk) = 0.5_wp * pvn(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji ,jj+1,jk,jn) ) |
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| 110 | END DO |
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| 111 | END DO |
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| 112 | END DO |
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| 113 | ! |
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[6140] | 114 | CASE( 4 ) !* 4th order centered |
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| 115 | ztu(:,:,jpk) = 0._wp ! Bottom value : flux set to zero |
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[5770] | 116 | ztv(:,:,jpk) = 0._wp |
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[6140] | 117 | DO jk = 1, jpkm1 ! masked gradient |
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| 118 | DO jj = 2, jpjm1 |
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[5770] | 119 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 120 | ztu(ji,jj,jk) = ( ptn(ji+1,jj ,jk,jn) - ptn(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
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| 121 | ztv(ji,jj,jk) = ( ptn(ji ,jj+1,jk,jn) - ptn(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
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| 122 | END DO |
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| 123 | END DO |
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| 124 | END DO |
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[10425] | 125 | CALL lbc_lnk_multi( 'traadv_cen', ztu, 'U', -1. , ztv, 'V', -1. ) ! Lateral boundary cond. |
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[5770] | 126 | ! |
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[6140] | 127 | DO jk = 1, jpkm1 ! Horizontal advective fluxes |
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[5770] | 128 | DO jj = 2, jpjm1 |
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| 129 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 130 | zC2t_u = ptn(ji,jj,jk,jn) + ptn(ji+1,jj ,jk,jn) ! C2 interpolation of T at u- & v-points (x2) |
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| 131 | zC2t_v = ptn(ji,jj,jk,jn) + ptn(ji ,jj+1,jk,jn) |
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| 132 | ! ! C4 interpolation of T at u- & v-points (x2) |
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| 133 | zC4t_u = zC2t_u + r1_6 * ( ztu(ji-1,jj,jk) - ztu(ji+1,jj,jk) ) |
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| 134 | zC4t_v = zC2t_v + r1_6 * ( ztv(ji,jj-1,jk) - ztv(ji,jj+1,jk) ) |
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| 135 | ! ! C4 fluxes |
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| 136 | zwx(ji,jj,jk) = 0.5_wp * pun(ji,jj,jk) * zC4t_u |
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| 137 | zwy(ji,jj,jk) = 0.5_wp * pvn(ji,jj,jk) * zC4t_v |
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| 138 | END DO |
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| 139 | END DO |
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| 140 | END DO |
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| 141 | ! |
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| 142 | CASE DEFAULT |
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| 143 | CALL ctl_stop( 'traadv_fct: wrong value for nn_fct' ) |
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| 144 | END SELECT |
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| 145 | ! |
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[6140] | 146 | SELECT CASE( kn_cen_v ) !-- Vertical fluxes --! (interior) |
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[5770] | 147 | ! |
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[6140] | 148 | CASE( 2 ) !* 2nd order centered |
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[5770] | 149 | DO jk = 2, jpk |
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| 150 | DO jj = 2, jpjm1 |
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| 151 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 152 | zwz(ji,jj,jk) = 0.5 * pwn(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji,jj,jk-1,jn) ) * wmask(ji,jj,jk) |
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| 153 | END DO |
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| 154 | END DO |
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| 155 | END DO |
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| 156 | ! |
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[6140] | 157 | CASE( 4 ) !* 4th order compact |
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| 158 | CALL interp_4th_cpt( ptn(:,:,:,jn) , ztw ) ! ztw = interpolated value of T at w-point |
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[5770] | 159 | DO jk = 2, jpkm1 |
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| 160 | DO jj = 2, jpjm1 |
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| 161 | DO ji = fs_2, fs_jpim1 |
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| 162 | zwz(ji,jj,jk) = pwn(ji,jj,jk) * ztw(ji,jj,jk) * wmask(ji,jj,jk) |
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| 163 | END DO |
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| 164 | END DO |
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| 165 | END DO |
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| 166 | ! |
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| 167 | END SELECT |
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| 168 | ! |
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[6140] | 169 | IF( ln_linssh ) THEN !* top value (linear free surf. only as zwz is multiplied by wmask) |
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[5770] | 170 | IF( ln_isfcav ) THEN ! ice-shelf cavities (top of the ocean) |
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| 171 | DO jj = 1, jpj |
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| 172 | DO ji = 1, jpi |
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[6140] | 173 | zwz(ji,jj, mikt(ji,jj) ) = pwn(ji,jj,mikt(ji,jj)) * ptn(ji,jj,mikt(ji,jj),jn) |
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[5770] | 174 | END DO |
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| 175 | END DO |
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| 176 | ELSE ! no ice-shelf cavities (only ocean surface) |
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| 177 | zwz(:,:,1) = pwn(:,:,1) * ptn(:,:,1,jn) |
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| 178 | ENDIF |
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| 179 | ENDIF |
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| 180 | ! |
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| 181 | DO jk = 1, jpkm1 !-- Divergence of advective fluxes --! |
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| 182 | DO jj = 2, jpjm1 |
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| 183 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 184 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) & |
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| 185 | & - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
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| 186 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
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[6140] | 187 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) * r1_e1e2t(ji,jj) / e3t_n(ji,jj,jk) |
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[5770] | 188 | END DO |
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| 189 | END DO |
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| 190 | END DO |
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[6140] | 191 | ! ! trend diagnostics |
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[7646] | 192 | IF( l_trd ) THEN |
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[5770] | 193 | CALL trd_tra( kt, cdtype, jn, jptra_xad, zwx, pun, ptn(:,:,:,jn) ) |
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| 194 | CALL trd_tra( kt, cdtype, jn, jptra_yad, zwy, pvn, ptn(:,:,:,jn) ) |
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| 195 | CALL trd_tra( kt, cdtype, jn, jptra_zad, zwz, pwn, ptn(:,:,:,jn) ) |
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| 196 | END IF |
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[7646] | 197 | ! ! "Poleward" heat and salt transports |
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[9019] | 198 | IF( l_ptr ) CALL dia_ptr_hst( jn, 'adv', zwy(:,:,:) ) |
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[7646] | 199 | ! ! heat and salt transport |
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[9019] | 200 | IF( l_hst ) CALL dia_ar5_hst( jn, 'adv', zwx(:,:,:), zwy(:,:,:) ) |
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[5770] | 201 | ! |
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| 202 | END DO |
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| 203 | ! |
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| 204 | END SUBROUTINE tra_adv_cen |
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| 205 | |
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| 206 | !!====================================================================== |
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| 207 | END MODULE traadv_cen |
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