[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 oce , ONLY: tsn ! now ocean temperature and salinity |
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| 14 | USE dom_oce ! ocean space and time domain |
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| 15 | USE eosbn2 ! equation of state |
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| 16 | USE traadv_fct ! acces to routine interp_4th_cpt |
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| 17 | USE trd_oce ! trends: ocean variables |
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| 18 | USE trdtra ! trends manager: tracers |
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| 19 | USE diaptr ! poleward transport 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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| 25 | USE wrk_nemo ! Memory Allocation |
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| 26 | USE timing ! Timing |
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[5770] | 27 | |
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| 28 | IMPLICIT NONE |
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| 29 | PRIVATE |
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| 30 | |
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| 31 | PUBLIC tra_adv_cen ! routine called by step.F90 |
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| 32 | |
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| 33 | REAL(wp) :: r1_6 = 1._wp / 6._wp ! =1/6 |
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| 34 | |
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| 35 | !! * Substitutions |
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| 36 | # include "vectopt_loop_substitute.h90" |
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| 37 | !!---------------------------------------------------------------------- |
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| 38 | !! NEMO/OPA 3.7 , NEMO Consortium (2014) |
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| 39 | !! $Id: traadv_cen2.F90 5737 2015-09-13 07:42:41Z gm $ |
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| 40 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 41 | !!---------------------------------------------------------------------- |
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| 42 | CONTAINS |
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| 43 | |
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| 44 | SUBROUTINE tra_adv_cen( kt, kit000, cdtype, pun, pvn, pwn, & |
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| 45 | & ptn, pta, kjpt, kn_cen_h, kn_cen_v ) |
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| 46 | !!---------------------------------------------------------------------- |
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| 47 | !! *** ROUTINE tra_adv_cen *** |
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| 48 | !! |
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| 49 | !! ** Purpose : Compute the now trend due to the advection of tracers |
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| 50 | !! and add it to the general trend of passive tracer equations. |
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| 51 | !! |
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| 52 | !! ** Method : The advection is evaluated by a 2nd or 4th order scheme |
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| 53 | !! using now fields (leap-frog scheme). |
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| 54 | !! kn_cen_h = 2 ==>> 2nd order centered scheme on the horizontal |
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| 55 | !! = 4 ==>> 4th order - - - - |
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| 56 | !! kn_cen_v = 2 ==>> 2nd order centered scheme on the vertical |
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| 57 | !! = 4 ==>> 4th order COMPACT scheme - - |
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| 58 | !! |
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[6140] | 59 | !! ** Action : - update pta with the now advective tracer trends |
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| 60 | !! - send trends to trdtra module for further diagnostcs (l_trdtra=T) |
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| 61 | !! - htr_adv, str_adv : poleward advective heat and salt transport (ln_diaptr=T) |
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[5770] | 62 | !!---------------------------------------------------------------------- |
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| 63 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 64 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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| 65 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 66 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 67 | INTEGER , INTENT(in ) :: kn_cen_h ! =2/4 (2nd or 4th order scheme) |
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| 68 | INTEGER , INTENT(in ) :: kn_cen_v ! =2/4 (2nd or 4th order scheme) |
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| 69 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components |
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| 70 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptn ! now tracer fields |
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| 71 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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| 72 | ! |
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| 73 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 74 | INTEGER :: ierr ! local integer |
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| 75 | REAL(wp) :: zC2t_u, zC4t_u ! local scalars |
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| 76 | REAL(wp) :: zC2t_v, zC4t_v ! - - |
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| 77 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwx, zwy, zwz, ztu, ztv, ztw |
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| 78 | !!---------------------------------------------------------------------- |
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| 79 | ! |
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| 80 | IF( nn_timing == 1 ) CALL timing_start('tra_adv_cen') |
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| 81 | ! |
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| 82 | CALL wrk_alloc( jpi,jpj,jpk, zwx, zwy, zwz, ztu, ztv, ztw ) |
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| 83 | ! |
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| 84 | IF( kt == kit000 ) THEN |
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| 85 | IF(lwp) WRITE(numout,*) |
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| 86 | 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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| 87 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~ ' |
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| 88 | ENDIF |
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| 89 | ! |
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[6140] | 90 | ! |
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| 91 | zwz(:,:, 1 ) = 0._wp ! surface & bottom vertical flux set to zero for all tracers |
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| 92 | zwz(:,:,jpk) = 0._wp |
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[5770] | 93 | ! |
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| 94 | DO jn = 1, kjpt !== loop over the tracers ==! |
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| 95 | ! |
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[6140] | 96 | SELECT CASE( kn_cen_h ) !-- Horizontal fluxes --! |
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[5770] | 97 | ! |
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[6140] | 98 | CASE( 2 ) !* 2nd order centered |
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[5770] | 99 | DO jk = 1, jpkm1 |
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| 100 | DO jj = 1, jpjm1 |
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| 101 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 102 | 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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| 103 | 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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| 104 | END DO |
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| 105 | END DO |
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| 106 | END DO |
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| 107 | ! |
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[6140] | 108 | CASE( 4 ) !* 4th order centered |
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| 109 | ztu(:,:,jpk) = 0._wp ! Bottom value : flux set to zero |
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[5770] | 110 | ztv(:,:,jpk) = 0._wp |
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[6140] | 111 | DO jk = 1, jpkm1 ! masked gradient |
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| 112 | DO jj = 2, jpjm1 |
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[5770] | 113 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 114 | ztu(ji,jj,jk) = ( ptn(ji+1,jj ,jk,jn) - ptn(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
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| 115 | ztv(ji,jj,jk) = ( ptn(ji ,jj+1,jk,jn) - ptn(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
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| 116 | END DO |
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| 117 | END DO |
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| 118 | END DO |
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| 119 | CALL lbc_lnk( ztu, 'U', -1. ) ; CALL lbc_lnk( ztv, 'V', -1. ) ! Lateral boundary cond. (unchanged sgn) |
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| 120 | ! |
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[6140] | 121 | DO jk = 1, jpkm1 ! Horizontal advective fluxes |
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[5770] | 122 | DO jj = 2, jpjm1 |
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| 123 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 124 | 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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| 125 | zC2t_v = ptn(ji,jj,jk,jn) + ptn(ji ,jj+1,jk,jn) |
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| 126 | ! ! C4 interpolation of T at u- & v-points (x2) |
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| 127 | zC4t_u = zC2t_u + r1_6 * ( ztu(ji-1,jj,jk) - ztu(ji+1,jj,jk) ) |
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| 128 | zC4t_v = zC2t_v + r1_6 * ( ztv(ji,jj-1,jk) - ztv(ji,jj+1,jk) ) |
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| 129 | ! ! C4 fluxes |
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| 130 | zwx(ji,jj,jk) = 0.5_wp * pun(ji,jj,jk) * zC4t_u |
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| 131 | zwy(ji,jj,jk) = 0.5_wp * pvn(ji,jj,jk) * zC4t_v |
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| 132 | END DO |
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| 133 | END DO |
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| 134 | END DO |
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| 135 | ! |
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| 136 | CASE DEFAULT |
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| 137 | CALL ctl_stop( 'traadv_fct: wrong value for nn_fct' ) |
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| 138 | END SELECT |
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| 139 | ! |
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[6140] | 140 | SELECT CASE( kn_cen_v ) !-- Vertical fluxes --! (interior) |
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[5770] | 141 | ! |
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[6140] | 142 | CASE( 2 ) !* 2nd order centered |
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[5770] | 143 | DO jk = 2, jpk |
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| 144 | DO jj = 2, jpjm1 |
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| 145 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 146 | 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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| 147 | END DO |
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| 148 | END DO |
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| 149 | END DO |
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| 150 | ! |
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[6140] | 151 | CASE( 4 ) !* 4th order compact |
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| 152 | CALL interp_4th_cpt( ptn(:,:,:,jn) , ztw ) ! ztw = interpolated value of T at w-point |
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[5770] | 153 | DO jk = 2, jpkm1 |
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| 154 | DO jj = 2, jpjm1 |
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| 155 | DO ji = fs_2, fs_jpim1 |
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| 156 | zwz(ji,jj,jk) = pwn(ji,jj,jk) * ztw(ji,jj,jk) * wmask(ji,jj,jk) |
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| 157 | END DO |
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| 158 | END DO |
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| 159 | END DO |
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| 160 | ! |
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| 161 | END SELECT |
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| 162 | ! |
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[6140] | 163 | IF( ln_linssh ) THEN !* top value (linear free surf. only as zwz is multiplied by wmask) |
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[5770] | 164 | IF( ln_isfcav ) THEN ! ice-shelf cavities (top of the ocean) |
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| 165 | DO jj = 1, jpj |
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| 166 | DO ji = 1, jpi |
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[6140] | 167 | zwz(ji,jj, mikt(ji,jj) ) = pwn(ji,jj,mikt(ji,jj)) * ptn(ji,jj,mikt(ji,jj),jn) |
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[5770] | 168 | END DO |
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| 169 | END DO |
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| 170 | ELSE ! no ice-shelf cavities (only ocean surface) |
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| 171 | zwz(:,:,1) = pwn(:,:,1) * ptn(:,:,1,jn) |
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| 172 | ENDIF |
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| 173 | ENDIF |
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| 174 | ! |
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| 175 | DO jk = 1, jpkm1 !-- Divergence of advective fluxes --! |
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| 176 | DO jj = 2, jpjm1 |
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| 177 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 178 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) & |
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| 179 | & - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
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| 180 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
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[6140] | 181 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) * r1_e1e2t(ji,jj) / e3t_n(ji,jj,jk) |
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[5770] | 182 | END DO |
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| 183 | END DO |
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| 184 | END DO |
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[6140] | 185 | ! ! trend diagnostics |
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[5770] | 186 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) THEN |
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| 187 | CALL trd_tra( kt, cdtype, jn, jptra_xad, zwx, pun, ptn(:,:,:,jn) ) |
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| 188 | CALL trd_tra( kt, cdtype, jn, jptra_yad, zwy, pvn, ptn(:,:,:,jn) ) |
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| 189 | CALL trd_tra( kt, cdtype, jn, jptra_zad, zwz, pwn, ptn(:,:,:,jn) ) |
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| 190 | END IF |
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[6140] | 191 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
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[5770] | 192 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
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[6140] | 193 | IF( jn == jp_tem ) htr_adv(:) = ptr_sj( zwy(:,:,:) ) |
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| 194 | IF( jn == jp_sal ) str_adv(:) = ptr_sj( zwy(:,:,:) ) |
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[5770] | 195 | ENDIF |
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| 196 | ! |
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| 197 | END DO |
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| 198 | ! |
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| 199 | CALL wrk_dealloc( jpi,jpj,jpk, zwx, zwy, zwz, ztu, ztv, ztw ) |
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| 200 | ! |
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| 201 | IF( nn_timing == 1 ) CALL timing_stop('tra_adv_cen') |
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| 202 | ! |
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| 203 | END SUBROUTINE tra_adv_cen |
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| 204 | |
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| 205 | !!====================================================================== |
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| 206 | END MODULE traadv_cen |
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