[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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| 7 | !! History : 9.0 ! 06-08 (G. Madec, S. Theetten) Original code |
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| 8 | !!---------------------------------------------------------------------- |
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| 9 | |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! dyn_adv_cen2 : flux form momentum advection (ln_dynadv_cen2=T) |
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| 12 | !! trends using a 2nd order centred scheme |
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| 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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| 16 | USE dynspg_oce ! surface pressure gradient |
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| 17 | USE in_out_manager ! I/O manager |
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[1129] | 18 | USE dynspg_rl ! surface pressure gradient |
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| 19 | USE trdmod ! ocean dynamics trends |
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| 20 | USE trdmod_oce ! ocean variables trends |
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| 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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| 26 | !! * Routine accessibility |
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| 27 | PUBLIC dyn_adv_cen2 ! routine called by step.F90 |
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| 28 | |
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| 29 | !! * Substitutions |
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| 30 | # include "domzgr_substitute.h90" |
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| 31 | # include "vectopt_loop_substitute.h90" |
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| 32 | !!---------------------------------------------------------------------- |
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| 33 | !! OPA 9.0 , LODYC-IPSL (2006) |
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[1152] | 34 | !! $Id$ |
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[643] | 35 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 36 | !!---------------------------------------------------------------------- |
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| 37 | |
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| 38 | CONTAINS |
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| 39 | |
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| 40 | SUBROUTINE dyn_adv_cen2( kt ) |
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| 41 | !!---------------------------------------------------------------------- |
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| 42 | !! *** ROUTINE dyn_adv_cen2 *** |
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| 43 | !! |
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| 44 | !! ** Purpose : Compute the now momentum advection trend in flux form |
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| 45 | !! and the general trend of the momentum equation. |
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| 46 | !! |
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| 47 | !! ** Method : Trend evaluated using now fields (centered in time) |
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| 48 | !! |
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| 49 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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| 50 | !!---------------------------------------------------------------------- |
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| 51 | USE oce, ONLY: zfu => ta, & ! use ta as 3D workspace |
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| 52 | zfv => sa ! use sa as 3D workspace |
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| 53 | |
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| 54 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 55 | |
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| 56 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 57 | REAL(wp) :: zua, zva, zbu, zbv ! temporary scalars |
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| 58 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zfu_t, zfu_f, zfu_uw ! 3D workspace |
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| 59 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zfv_t, zfv_f, zfv_vw ! " " |
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| 60 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zfw ! " " |
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| 61 | !!---------------------------------------------------------------------- |
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| 62 | |
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| 63 | IF( kt == nit000 ) THEN |
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| 64 | IF(lwp) WRITE(numout,*) |
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| 65 | IF(lwp) WRITE(numout,*) 'dyn_adv_cen2 : 2nd order flux form momentum advection' |
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| 66 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~' |
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| 67 | ENDIF |
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| 68 | |
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[1129] | 69 | IF( l_trddyn ) THEN ! Save ua and va trends |
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| 70 | zfu_uw(:,:,:) = ua(:,:,:) |
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| 71 | zfv_vw(:,:,:) = va(:,:,:) |
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| 72 | ENDIF |
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[643] | 73 | |
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| 74 | ! I. Horizontal advection |
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| 75 | ! ----------------------- |
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| 76 | ! ! =============== |
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| 77 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 78 | ! ! =============== |
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| 79 | ! horizontal volume fluxes |
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| 80 | zfu(:,:,jk) = 0.25 * e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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| 81 | zfv(:,:,jk) = 0.25 * e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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| 82 | |
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| 83 | ! horizontal momentum fluxes at T- and F-point |
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| 84 | DO jj = 1, jpjm1 |
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| 85 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 86 | zfu_t(ji+1,jj ,jk) = ( zfu(ji,jj,jk) + zfu(ji+1,jj ,jk) ) * ( un(ji,jj,jk) + un(ji+1,jj ,jk) ) |
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| 87 | zfv_f(ji ,jj ,jk) = ( zfv(ji,jj,jk) + zfv(ji+1,jj ,jk) ) * ( un(ji,jj,jk) + un(ji ,jj+1,jk) ) |
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| 88 | zfu_f(ji ,jj ,jk) = ( zfu(ji,jj,jk) + zfu(ji ,jj+1,jk) ) * ( vn(ji,jj,jk) + vn(ji+1,jj ,jk) ) |
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| 89 | zfv_t(ji ,jj+1,jk) = ( zfv(ji,jj,jk) + zfv(ji ,jj+1,jk) ) * ( vn(ji,jj,jk) + vn(ji ,jj+1,jk) ) |
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| 90 | END DO |
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| 91 | END DO |
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| 92 | |
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| 93 | ! divergence of horizontal momentum fluxes |
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| 94 | DO jj = 2, jpjm1 |
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| 95 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 96 | zbu = e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) |
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| 97 | zbv = e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) |
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| 98 | ! horizontal advective trends |
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| 99 | zua = - ( zfu_t(ji+1,jj ,jk) - zfu_t(ji ,jj ,jk) & |
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| 100 | & + zfv_f(ji ,jj ,jk) - zfv_f(ji ,jj-1,jk) ) / zbu |
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| 101 | zva = - ( zfu_f(ji ,jj ,jk) - zfu_f(ji-1,jj ,jk) & |
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| 102 | & + zfv_t(ji ,jj+1,jk) - zfv_t(ji ,jj ,jk) ) / zbv |
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| 103 | ! add it to the general tracer trends |
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| 104 | ua(ji,jj,jk) = ua(ji,jj,jk) + zua |
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| 105 | va(ji,jj,jk) = va(ji,jj,jk) + zva |
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| 106 | END DO |
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| 107 | END DO |
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| 108 | ! ! =============== |
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| 109 | END DO ! End of slab |
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| 110 | ! ! =============== |
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| 111 | |
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[1129] | 112 | IF( l_trddyn ) THEN ! save the horizontal advection trend for diagnostic |
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| 113 | zfu_uw(:,:,:) = ua(:,:,:) - zfu_uw(:,:,:) |
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| 114 | zfv_vw(:,:,:) = va(:,:,:) - zfv_vw(:,:,:) |
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| 115 | CALL trd_mod( zfu_uw, zfv_vw, jpdyn_trd_had, 'DYN', kt ) |
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| 116 | ENDIF |
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| 117 | ! |
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[643] | 118 | |
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| 119 | ! II. Vertical advection |
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| 120 | ! ---------------------- |
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| 121 | |
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[1129] | 122 | IF( l_trddyn ) THEN ! Save ua and va trends |
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| 123 | zfu_t(:,:,:) = ua(:,:,:) |
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| 124 | zfv_t(:,:,:) = va(:,:,:) |
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| 125 | ENDIF |
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| 126 | |
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[643] | 127 | ! Second order centered tracer flux at w-point |
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| 128 | DO jk = 1, jpkm1 |
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| 129 | ! Vertical volume fluxes |
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| 130 | zfw(:,:,jk) = 0.25 * e1t(:,:) * e2t(:,:) * wn(:,:,jk) |
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| 131 | ! Vertical advective fluxes |
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| 132 | IF( jk == 1 ) THEN |
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| 133 | zfu_uw(:,:,jpk) = 0.e0 ! Bottom value : flux set to zero |
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| 134 | zfv_vw(:,:,jpk) = 0.e0 |
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| 135 | ! ! Surface value |
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| 136 | IF( lk_dynspg_rl ) THEN ! rigid lid : flux set to zero |
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| 137 | zfu_uw(:,:, 1 ) = 0.e0 |
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| 138 | zfv_vw(:,:, 1 ) = 0.e0 |
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| 139 | ELSE ! free surface-constant volume |
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| 140 | DO jj = 2, jpjm1 |
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| 141 | DO ji = fs_2, fs_jpim1 |
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| 142 | zfu_uw(ji,jj, 1 ) = 2.e0 * ( zfw(ji,jj,1) + zfw(ji+1,jj ,1) ) * un(ji,jj,1) |
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| 143 | zfv_vw(ji,jj, 1 ) = 2.e0 * ( zfw(ji,jj,1) + zfw(ji ,jj+1,1) ) * vn(ji,jj,1) |
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| 144 | END DO |
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| 145 | END DO |
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| 146 | ENDIF |
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| 147 | ELSE |
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| 148 | ! ! interior fluxes |
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| 149 | DO jj = 2, jpjm1 |
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| 150 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 151 | zfu_uw(ji,jj,jk) = ( zfw(ji,jj,jk)+ zfw(ji+1,jj ,jk) ) * ( un(ji,jj,jk) + un(ji,jj,jk-1) ) |
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| 152 | zfv_vw(ji,jj,jk) = ( zfw(ji,jj,jk)+ zfw(ji ,jj+1,jk) ) * ( vn(ji,jj,jk) + vn(ji,jj,jk-1) ) |
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| 153 | END DO |
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| 154 | END DO |
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| 155 | ENDIF |
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| 156 | END DO |
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| 157 | |
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| 158 | ! momentum flux divergence at u-, v-points added to the general trend |
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| 159 | DO jk = 1, jpkm1 |
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| 160 | DO jj = 2, jpjm1 |
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| 161 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 162 | zua = - ( zfu_uw(ji,jj,jk) - zfu_uw(ji,jj,jk+1) ) & |
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| 163 | & / ( e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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| 164 | zva = - ( zfv_vw(ji,jj,jk) - zfv_vw(ji,jj,jk+1) ) & |
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| 165 | & / ( e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) ) |
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| 166 | ! add it to the general tracer trends |
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| 167 | ua(ji,jj,jk) = ua(ji,jj,jk) + zua |
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| 168 | va(ji,jj,jk) = va(ji,jj,jk) + zva |
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| 169 | END DO |
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| 170 | END DO |
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| 171 | END DO |
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| 172 | |
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[1129] | 173 | IF( l_trddyn ) THEN ! save the vertical advection trend for diagnostic |
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| 174 | zfu_t(:,:,:) = ua(:,:,:) - zfu_t(:,:,:) |
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| 175 | zfv_t(:,:,:) = va(:,:,:) - zfv_t(:,:,:) |
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| 176 | CALL trd_mod( zfu_t, zfv_t, jpdyn_trd_zad, 'DYN', kt ) |
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| 177 | ENDIF |
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| 178 | |
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| 179 | ! ! Control print |
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| 180 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' cen2 adv - Ua: ', mask1=umask, & |
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| 181 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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| 182 | ! |
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[643] | 183 | END SUBROUTINE dyn_adv_cen2 |
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| 184 | |
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| 185 | !!============================================================================== |
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| 186 | END MODULE dynadv_cen2 |
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