[3] | 1 | MODULE dynzdf_exp |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE dynzdf_exp *** |
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| 4 | !! Ocean dynamics: vertical component(s) of the momentum mixing trend |
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| 5 | !!============================================================================== |
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[2528] | 6 | !! History : OPA ! 1990-10 (B. Blanke) Original code |
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| 7 | !! 8.0 ! 1997-05 (G. Madec) vertical component of isopycnal |
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[2715] | 8 | !! NEMO 0.5 ! 2002-08 (G. Madec) F90: Free form and module |
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[2528] | 9 | !! 3.3 ! 2010-04 (M. Leclair, G. Madec) Forcing averaged over 2 time steps |
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[503] | 10 | !!---------------------------------------------------------------------- |
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[3] | 11 | |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | !! dyn_zdf_exp : update the momentum trend with the vertical diffu- |
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| 14 | !! sion using an explicit time-stepping scheme. |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | USE oce ! ocean dynamics and tracers |
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| 17 | USE dom_oce ! ocean space and time domain |
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| 18 | USE phycst ! physical constants |
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| 19 | USE zdf_oce ! ocean vertical physics |
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[888] | 20 | USE sbc_oce ! surface boundary condition: ocean |
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[2715] | 21 | USE lib_mpp ! MPP library |
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[3] | 22 | USE in_out_manager ! I/O manager |
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[2715] | 23 | USE lib_mpp ! MPP library |
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[3] | 24 | |
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| 25 | IMPLICIT NONE |
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| 26 | PRIVATE |
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| 27 | |
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[2528] | 28 | PUBLIC dyn_zdf_exp ! called by step.F90 |
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[2715] | 29 | |
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[3] | 30 | !! * Substitutions |
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| 31 | # include "domzgr_substitute.h90" |
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| 32 | # include "vectopt_loop_substitute.h90" |
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| 33 | !!---------------------------------------------------------------------- |
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[2528] | 34 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[888] | 35 | !! $Id$ |
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[2715] | 36 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 37 | !!---------------------------------------------------------------------- |
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| 38 | CONTAINS |
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| 39 | |
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[503] | 40 | SUBROUTINE dyn_zdf_exp( kt, p2dt ) |
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[3] | 41 | !!---------------------------------------------------------------------- |
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| 42 | !! *** ROUTINE dyn_zdf_exp *** |
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| 43 | !! |
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| 44 | !! ** Purpose : Compute the trend due to the vert. momentum diffusion |
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| 45 | !! |
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| 46 | !! ** Method : Explicit forward time stepping with a time splitting |
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| 47 | !! technique. The vertical diffusion of momentum is given by: |
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| 48 | !! diffu = dz( avmu dz(u) ) = 1/e3u dk+1( avmu/e3uw dk(ub) ) |
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[2528] | 49 | !! Surface boundary conditions: wind stress input (averaged over kt-1/2 & kt+1/2) |
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[3] | 50 | !! Bottom boundary conditions : bottom stress (cf zdfbfr.F90) |
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| 51 | !! Add this trend to the general trend ua : |
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| 52 | !! ua = ua + dz( avmu dz(u) ) |
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| 53 | !! |
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| 54 | !! ** Action : - Update (ua,va) with the vertical diffusive trend |
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| 55 | !!--------------------------------------------------------------------- |
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[2715] | 56 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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| 57 | USE oce , ONLY: zwx => ta , zwy => sa ! (ta,sa) used as 3D workspace |
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| 58 | USE wrk_nemo, ONLY: zwz => wrk_3d_1 , zww => wrk_3d_2 ! 3D workspace |
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| 59 | ! |
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[2528] | 60 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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| 61 | REAL(wp), INTENT(in) :: p2dt ! time-step |
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[2715] | 62 | ! |
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| 63 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 64 | REAL(wp) :: zrau0r, zlavmr, zua, zva ! local scalars |
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[3] | 65 | !!---------------------------------------------------------------------- |
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| 66 | |
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[2715] | 67 | IF( wrk_in_use(3, 1,2) ) THEN |
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| 68 | CALL ctl_stop('dyn_zdf_exp: requested workspace arrays unavailable') ; RETURN |
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[3] | 69 | ENDIF |
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| 70 | |
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[2715] | 71 | IF( kt == nit000 .AND. lwp ) THEN |
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| 72 | WRITE(numout,*) |
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| 73 | WRITE(numout,*) 'dyn_zdf_exp : vertical momentum diffusion - explicit operator' |
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| 74 | WRITE(numout,*) '~~~~~~~~~~~ ' |
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| 75 | ENDIF |
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| 76 | |
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| 77 | zrau0r = 1. / rau0 ! Local constant initialization |
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[2528] | 78 | zlavmr = 1. / REAL( nn_zdfexp ) |
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[216] | 79 | |
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[2715] | 80 | |
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| 81 | DO jj = 2, jpjm1 ! Surface boundary condition |
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| 82 | DO ji = 2, jpim1 |
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| 83 | zwy(ji,jj,1) = ( utau_b(ji,jj) + utau(ji,jj) ) * zrau0r |
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| 84 | zww(ji,jj,1) = ( vtau_b(ji,jj) + vtau(ji,jj) ) * zrau0r |
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[3] | 85 | END DO |
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[2715] | 86 | END DO |
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| 87 | DO jk = 1, jpk ! Initialization of x, z and contingently trends array |
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| 88 | DO jj = 2, jpjm1 |
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[3] | 89 | DO ji = 2, jpim1 |
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[2715] | 90 | zwx(ji,jj,jk) = ub(ji,jj,jk) |
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| 91 | zwz(ji,jj,jk) = vb(ji,jj,jk) |
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[3] | 92 | END DO |
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| 93 | END DO |
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[2715] | 94 | END DO |
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| 95 | ! |
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| 96 | DO jl = 1, nn_zdfexp ! Time splitting loop |
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[2528] | 97 | ! |
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[2715] | 98 | DO jk = 2, jpk ! First vertical derivative |
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| 99 | DO jj = 2, jpjm1 |
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[3] | 100 | DO ji = 2, jpim1 |
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[2715] | 101 | zwy(ji,jj,jk) = avmu(ji,jj,jk) * ( zwx(ji,jj,jk-1) - zwx(ji,jj,jk) ) / fse3uw(ji,jj,jk) |
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| 102 | zww(ji,jj,jk) = avmv(ji,jj,jk) * ( zwz(ji,jj,jk-1) - zwz(ji,jj,jk) ) / fse3vw(ji,jj,jk) |
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[3] | 103 | END DO |
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| 104 | END DO |
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[2715] | 105 | END DO |
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| 106 | DO jk = 1, jpkm1 ! Second vertical derivative and trend estimation at kt+l*rdt/nn_zdfexp |
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| 107 | DO jj = 2, jpjm1 |
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[3] | 108 | DO ji = 2, jpim1 |
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[2715] | 109 | zua = zlavmr * ( zwy(ji,jj,jk) - zwy(ji,jj,jk+1) ) / fse3u(ji,jj,jk) |
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| 110 | zva = zlavmr * ( zww(ji,jj,jk) - zww(ji,jj,jk+1) ) / fse3v(ji,jj,jk) |
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[3] | 111 | ua(ji,jj,jk) = ua(ji,jj,jk) + zua |
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| 112 | va(ji,jj,jk) = va(ji,jj,jk) + zva |
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[2528] | 113 | ! |
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[2715] | 114 | zwx(ji,jj,jk) = zwx(ji,jj,jk) + p2dt * zua * umask(ji,jj,jk) |
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| 115 | zwz(ji,jj,jk) = zwz(ji,jj,jk) + p2dt * zva * vmask(ji,jj,jk) |
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[3] | 116 | END DO |
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| 117 | END DO |
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| 118 | END DO |
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[2715] | 119 | ! |
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| 120 | END DO ! End of time splitting |
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| 121 | ! |
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| 122 | IF( wrk_not_released(3, 1,2) ) CALL ctl_stop('dyn_zdf_exp: failed to release workspace arrays') |
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| 123 | ! |
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[3] | 124 | END SUBROUTINE dyn_zdf_exp |
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| 125 | |
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| 126 | !!============================================================================== |
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| 127 | END MODULE dynzdf_exp |
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