[643] | 1 | MODULE dynadv_cen2 |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE dynadv *** |
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| 4 | !! Ocean dynamics: Update the momentum trend with the flux form advection |
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| 5 | !! using a 2nd order centred scheme |
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| 6 | !!====================================================================== |
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[1566] | 7 | !! History : 2.0 ! 2006-08 (G. Madec, S. Theetten) Original code |
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| 8 | !! 3.2 ! 2009-07 (R. Benshila) Suppression of rigid-lid option |
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[643] | 9 | !!---------------------------------------------------------------------- |
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| 10 | |
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| 11 | !!---------------------------------------------------------------------- |
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[6140] | 12 | !! dyn_adv_cen2 : flux form momentum advection (ln_dynadv_cen2=T) using a 2nd order centred scheme |
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[643] | 13 | !!---------------------------------------------------------------------- |
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| 14 | USE oce ! ocean dynamics and tracers |
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| 15 | USE dom_oce ! ocean space and time domain |
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[4990] | 16 | USE trd_oce ! trends: ocean variables |
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| 17 | USE trddyn ! trend manager: dynamics |
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| 18 | ! |
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[643] | 19 | USE in_out_manager ! I/O manager |
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[2715] | 20 | USE lib_mpp ! MPP library |
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[1129] | 21 | USE prtctl ! Print control |
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[643] | 22 | |
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| 23 | IMPLICIT NONE |
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| 24 | PRIVATE |
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| 25 | |
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[1566] | 26 | PUBLIC dyn_adv_cen2 ! routine called by step.F90 |
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[643] | 27 | |
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| 28 | !! * Substitutions |
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[12377] | 29 | # include "do_loop_substitute.h90" |
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[13237] | 30 | # include "domzgr_substitute.h90" |
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[643] | 31 | !!---------------------------------------------------------------------- |
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[9598] | 32 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[1152] | 33 | !! $Id$ |
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[10068] | 34 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[643] | 35 | !!---------------------------------------------------------------------- |
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| 36 | CONTAINS |
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| 37 | |
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[14419] | 38 | SUBROUTINE dyn_adv_cen2( kt, Kmm, puu, pvv, Krhs, pau, pav, paw, no_zad ) |
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[643] | 39 | !!---------------------------------------------------------------------- |
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| 40 | !! *** ROUTINE dyn_adv_cen2 *** |
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| 41 | !! |
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[14419] | 42 | !! ** Purpose : Compute the momentum advection trend in flux form |
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[1566] | 43 | !! and the general trend of the momentum equation. |
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[643] | 44 | !! |
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[14419] | 45 | !! ** Method : Trend evaluated with a 2nd order centered scheme |
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| 46 | !! using fields at Kmm time-level. |
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| 47 | !! In RK3 time stepping case, the optional arguments (pau,pav,paw) |
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| 48 | !! are present. They are used as advective velocity while |
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| 49 | !! the advected velocity remains (puu,pvv). |
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[643] | 50 | !! |
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[14419] | 51 | !! ** Action : (puu,pvv)(:,:,:,Krhs) updated with the advective trend |
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[643] | 52 | !!---------------------------------------------------------------------- |
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[14419] | 53 | INTEGER , INTENT(in ) :: kt , Kmm, Krhs ! ocean time-step and level indices |
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| 54 | INTEGER , OPTIONAL , INTENT(in ) :: no_zad ! no vertical advection computation |
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| 55 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpt), TARGET, INTENT(inout) :: puu, pvv ! ocean velocities and RHS of momentum equation |
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| 56 | REAL(wp), DIMENSION(:,:,:), OPTIONAL, TARGET, INTENT(in ) :: pau, pav, paw ! advective velocity |
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[2715] | 57 | ! |
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[1566] | 58 | INTEGER :: ji, jj, jk ! dummy loop indices |
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[14419] | 59 | REAL(wp) :: zzu, zzv ! local scalars |
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[14381] | 60 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zfu_t, zfu_f, zfu_uw, zfu |
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| 61 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zfv_t, zfv_f, zfv_vw, zfv, zfw |
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[14419] | 62 | REAL(wp), DIMENSION(:,:,:), POINTER :: zpt_u, zpt_v, zpt_w |
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[643] | 63 | !!---------------------------------------------------------------------- |
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[3294] | 64 | ! |
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[2715] | 65 | IF( kt == nit000 .AND. lwp ) THEN |
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| 66 | WRITE(numout,*) |
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| 67 | WRITE(numout,*) 'dyn_adv_cen2 : 2nd order flux form momentum advection' |
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| 68 | WRITE(numout,*) '~~~~~~~~~~~~' |
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[643] | 69 | ENDIF |
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[3294] | 70 | ! |
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[6140] | 71 | IF( l_trddyn ) THEN ! trends: store the input trends |
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[12377] | 72 | zfu_uw(:,:,:) = puu(:,:,:,Krhs) |
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| 73 | zfv_vw(:,:,:) = pvv(:,:,:,Krhs) |
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[1129] | 74 | ENDIF |
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[6140] | 75 | ! |
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[14381] | 76 | IF( PRESENT( pau ) ) THEN ! RK3: advective velocity (pau,pav,paw) /= advected velocity (puu,pvv,ww) |
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[14419] | 77 | zpt_u => pau(:,:,:) |
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| 78 | zpt_v => pav(:,:,:) |
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| 79 | zpt_w => paw(:,:,:) |
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[14381] | 80 | ELSE ! MLF: advective velocity = (puu,pvv,ww) |
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[14419] | 81 | zpt_u => puu(:,:,:,Kmm) |
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| 82 | zpt_v => pvv(:,:,:,Kmm) |
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| 83 | zpt_w => ww (:,:,: ) |
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[14381] | 84 | ENDIF |
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| 85 | ! |
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[6140] | 86 | ! !== Horizontal advection ==! |
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| 87 | ! |
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| 88 | DO jk = 1, jpkm1 ! horizontal transport |
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[14419] | 89 | zfu(:,:,jk) = 0.25_wp * e2u(:,:) * e3u(:,:,jk,Kmm) * zpt_u(:,:,jk) |
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| 90 | zfv(:,:,jk) = 0.25_wp * e1v(:,:) * e3v(:,:,jk,Kmm) * zpt_v(:,:,jk) |
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[13497] | 91 | DO_2D( 1, 0, 1, 0 ) ! horizontal momentum fluxes (at T- and F-point) |
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[12377] | 92 | zfu_t(ji+1,jj ,jk) = ( zfu(ji,jj,jk) + zfu(ji+1,jj,jk) ) * ( puu(ji,jj,jk,Kmm) + puu(ji+1,jj ,jk,Kmm) ) |
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| 93 | zfv_f(ji ,jj ,jk) = ( zfv(ji,jj,jk) + zfv(ji+1,jj,jk) ) * ( puu(ji,jj,jk,Kmm) + puu(ji ,jj+1,jk,Kmm) ) |
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| 94 | zfu_f(ji ,jj ,jk) = ( zfu(ji,jj,jk) + zfu(ji,jj+1,jk) ) * ( pvv(ji,jj,jk,Kmm) + pvv(ji+1,jj ,jk,Kmm) ) |
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| 95 | zfv_t(ji ,jj+1,jk) = ( zfv(ji,jj,jk) + zfv(ji,jj+1,jk) ) * ( pvv(ji,jj,jk,Kmm) + pvv(ji ,jj+1,jk,Kmm) ) |
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| 96 | END_2D |
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[13497] | 97 | DO_2D( 0, 0, 0, 0 ) ! divergence of horizontal momentum fluxes |
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[12377] | 98 | puu(ji,jj,jk,Krhs) = puu(ji,jj,jk,Krhs) - ( zfu_t(ji+1,jj,jk) - zfu_t(ji,jj ,jk) & |
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[13237] | 99 | & + zfv_f(ji ,jj,jk) - zfv_f(ji,jj-1,jk) ) * r1_e1e2u(ji,jj) & |
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| 100 | & / e3u(ji,jj,jk,Kmm) |
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[12377] | 101 | pvv(ji,jj,jk,Krhs) = pvv(ji,jj,jk,Krhs) - ( zfu_f(ji,jj ,jk) - zfu_f(ji-1,jj,jk) & |
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[13237] | 102 | & + zfv_t(ji,jj+1,jk) - zfv_t(ji ,jj,jk) ) * r1_e1e2v(ji,jj) & |
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| 103 | & / e3v(ji,jj,jk,Kmm) |
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[12377] | 104 | END_2D |
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[1566] | 105 | END DO |
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| 106 | ! |
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[6140] | 107 | IF( l_trddyn ) THEN ! trends: send trend to trddyn for diagnostic |
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[12377] | 108 | zfu_uw(:,:,:) = puu(:,:,:,Krhs) - zfu_uw(:,:,:) |
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| 109 | zfv_vw(:,:,:) = pvv(:,:,:,Krhs) - zfv_vw(:,:,:) |
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| 110 | CALL trd_dyn( zfu_uw, zfv_vw, jpdyn_keg, kt, Kmm ) |
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| 111 | zfu_t(:,:,:) = puu(:,:,:,Krhs) |
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| 112 | zfv_t(:,:,:) = pvv(:,:,:,Krhs) |
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[1129] | 113 | ENDIF |
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[1566] | 114 | ! |
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[14419] | 115 | IF( PRESENT( no_zad ) ) THEN !== No vertical advection ==! (except if linear free surface) |
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| 116 | ! == |
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| 117 | IF( ln_linssh ) THEN ! linear free surface: advection through the surface z=0 |
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| 118 | DO_2D( 0, 0, 0, 0 ) |
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| 119 | zzu = 0.5_wp * ( e1e2t(ji,jj) * zpt_w(ji,jj,1) + e1e2t(ji+1,jj) * zpt_w(ji+1,jj,1) ) * puu(ji,jj,1,Kmm) |
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| 120 | zzv = 0.5_wp * ( e1e2t(ji,jj) * zpt_w(ji,jj,1) + e1e2t(ji,jj+1) * zpt_w(ji,jj+1,1) ) * pvv(ji,jj,1,Kmm) |
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| 121 | puu(ji,jj,1,Krhs) = puu(ji,jj,1,Krhs) - zzu * r1_e1e2u(ji,jj) & |
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| 122 | & / e3u(ji,jj,1,Kmm) |
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| 123 | pvv(ji,jj,1,Krhs) = pvv(ji,jj,1,Krhs) - zzv * r1_e1e2v(ji,jj) & |
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| 124 | & / e3v(ji,jj,1,Kmm) |
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| 125 | END_2D |
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| 126 | ENDIF |
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| 127 | ! |
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| 128 | ELSE !== Vertical advection ==! |
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| 129 | ! |
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| 130 | DO_2D( 0, 0, 0, 0 ) ! surface/bottom advective fluxes set to zero |
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| 131 | zfu_uw(ji,jj,jpk) = 0._wp ; zfv_vw(ji,jj,jpk) = 0._wp |
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| 132 | zfu_uw(ji,jj, 1 ) = 0._wp ; zfv_vw(ji,jj, 1 ) = 0._wp |
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[12377] | 133 | END_2D |
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[14419] | 134 | IF( ln_linssh ) THEN ! linear free surface: advection through the surface z=0 |
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| 135 | DO_2D( 0, 0, 0, 0 ) |
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| 136 | zfu_uw(ji,jj,1) = 0.5_wp * ( e1e2t(ji,jj) * zpt_w(ji,jj,1) + e1e2t(ji+1,jj) * zpt_w(ji+1,jj,1) ) * puu(ji,jj,1,Kmm) |
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| 137 | zfv_vw(ji,jj,1) = 0.5_wp * ( e1e2t(ji,jj) * zpt_w(ji,jj,1) + e1e2t(ji,jj+1) * zpt_w(ji,jj+1,1) ) * pvv(ji,jj,1,Kmm) |
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| 138 | END_2D |
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| 139 | ENDIF |
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| 140 | DO jk = 2, jpkm1 ! interior advective fluxes |
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| 141 | DO_2D( 0, 1, 0, 1 ) ! 1/4 * Vertical transport |
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| 142 | zfw(ji,jj,jk) = 0.25_wp * e1e2t(ji,jj) * zpt_w(ji,jj,jk) |
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| 143 | END_2D |
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| 144 | DO_2D( 0, 0, 0, 0 ) |
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| 145 | zfu_uw(ji,jj,jk) = ( zfw(ji,jj,jk) + zfw(ji+1,jj ,jk) ) * ( puu(ji,jj,jk,Kmm) + puu(ji,jj,jk-1,Kmm) ) |
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| 146 | zfv_vw(ji,jj,jk) = ( zfw(ji,jj,jk) + zfw(ji ,jj+1,jk) ) * ( pvv(ji,jj,jk,Kmm) + pvv(ji,jj,jk-1,Kmm) ) |
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| 147 | END_2D |
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| 148 | END DO |
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| 149 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) ! divergence of vertical momentum flux divergence |
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| 150 | puu(ji,jj,jk,Krhs) = puu(ji,jj,jk,Krhs) - ( zfu_uw(ji,jj,jk) - zfu_uw(ji,jj,jk+1) ) * r1_e1e2u(ji,jj) & |
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| 151 | & / e3u(ji,jj,jk,Kmm) |
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| 152 | pvv(ji,jj,jk,Krhs) = pvv(ji,jj,jk,Krhs) - ( zfv_vw(ji,jj,jk) - zfv_vw(ji,jj,jk+1) ) * r1_e1e2v(ji,jj) & |
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| 153 | & / e3v(ji,jj,jk,Kmm) |
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| 154 | END_3D |
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| 155 | ! |
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| 156 | IF( l_trddyn ) THEN ! trends: send trend to trddyn for diagnostic |
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| 157 | zfu_t(:,:,:) = puu(:,:,:,Krhs) - zfu_t(:,:,:) |
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| 158 | zfv_t(:,:,:) = pvv(:,:,:,Krhs) - zfv_t(:,:,:) |
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| 159 | CALL trd_dyn( zfu_t, zfv_t, jpdyn_zad, kt, Kmm ) |
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| 160 | ENDIF |
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| 161 | ! ! Control print |
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| 162 | IF(sn_cfctl%l_prtctl) CALL prt_ctl( tab3d_1=puu(:,:,:,Krhs), clinfo1=' cen2 adv - Ua: ', mask1=umask, & |
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| 163 | & tab3d_2=pvv(:,:,:,Krhs), clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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| 164 | ! |
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[6140] | 165 | ENDIF |
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[1566] | 166 | ! |
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[643] | 167 | END SUBROUTINE dyn_adv_cen2 |
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| 168 | |
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| 169 | !!============================================================================== |
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| 170 | END MODULE dynadv_cen2 |
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