[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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[503] | 6 | !! History : ! 90-10 (B. Blanke) Original code |
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| 7 | !! ! 97-05 (G. Madec) vertical component of isopycnal |
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| 8 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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| 9 | !!---------------------------------------------------------------------- |
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[3] | 10 | |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | !! dyn_zdf_exp : update the momentum trend with the vertical diffu- |
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| 13 | !! sion using an explicit time-stepping scheme. |
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| 14 | !!---------------------------------------------------------------------- |
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| 15 | !! * Modules used |
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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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[3] | 21 | USE in_out_manager ! I/O manager |
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| 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_zdf_exp ! 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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[247] | 33 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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[888] | 34 | !! $Id$ |
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[503] | 35 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[3] | 36 | !!---------------------------------------------------------------------- |
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| 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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| 49 | !! Surface boundary conditions: wind stress input |
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| 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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| 56 | !! * Arguments |
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[503] | 57 | INTEGER , INTENT( in ) :: kt ! ocean time-step index |
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| 58 | REAL(wp), INTENT( in ) :: p2dt ! time-step |
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[3] | 59 | |
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| 60 | !! * Local declarations |
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[503] | 61 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 62 | REAL(wp) :: zrau0r, zlavmr, zua, zva ! temporary scalars |
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| 63 | REAL(wp), DIMENSION(jpi,jpk) :: zwx, zwy, zwz, zww ! temporary workspace arrays |
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[3] | 64 | !!---------------------------------------------------------------------- |
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| 65 | |
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| 66 | IF( kt == nit000 ) THEN |
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| 67 | IF(lwp) WRITE(numout,*) |
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| 68 | IF(lwp) WRITE(numout,*) 'dyn_zdf_exp : vertical momentum diffusion explicit operator' |
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| 69 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ ' |
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| 70 | ENDIF |
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| 71 | |
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| 72 | ! Local constant initialization |
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| 73 | ! ----------------------------- |
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| 74 | zrau0r = 1. / rau0 ! inverse of the reference density |
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[1537] | 75 | zlavmr = 1. / float( nn_zdfexp ) ! inverse of the number of sub time step |
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[216] | 76 | |
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[3] | 77 | ! ! =============== |
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| 78 | DO jj = 2, jpjm1 ! Vertical slab |
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| 79 | ! ! =============== |
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| 80 | |
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| 81 | ! Surface boundary condition |
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| 82 | DO ji = 2, jpim1 |
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[888] | 83 | zwy(ji,1) = utau(ji,jj) * zrau0r |
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| 84 | zww(ji,1) = vtau(ji,jj) * zrau0r |
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[3] | 85 | END DO |
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| 86 | |
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| 87 | ! Initialization of x, z and contingently trends array |
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| 88 | DO jk = 1, jpk |
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| 89 | DO ji = 2, jpim1 |
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| 90 | zwx(ji,jk) = ub(ji,jj,jk) |
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| 91 | zwz(ji,jk) = vb(ji,jj,jk) |
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| 92 | END DO |
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| 93 | END DO |
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| 94 | |
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| 95 | ! Time splitting loop |
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[1537] | 96 | DO jl = 1, nn_zdfexp |
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[3] | 97 | |
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| 98 | ! First vertical derivative |
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| 99 | DO jk = 2, jpk |
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| 100 | DO ji = 2, jpim1 |
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| 101 | zwy(ji,jk) = avmu(ji,jj,jk) * ( zwx(ji,jk-1) - zwx(ji,jk) ) / fse3uw(ji,jj,jk) |
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| 102 | zww(ji,jk) = avmv(ji,jj,jk) * ( zwz(ji,jk-1) - zwz(ji,jk) ) / fse3vw(ji,jj,jk) |
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| 103 | END DO |
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| 104 | END DO |
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| 105 | |
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[1537] | 106 | ! Second vertical derivative and trend estimation at kt+l*rdt/nn_zdfexp |
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[3] | 107 | DO jk = 1, jpkm1 |
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| 108 | DO ji = 2, jpim1 |
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| 109 | zua = zlavmr*( zwy(ji,jk) - zwy(ji,jk+1) ) / fse3u(ji,jj,jk) |
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| 110 | zva = zlavmr*( zww(ji,jk) - zww(ji,jk+1) ) / fse3v(ji,jj,jk) |
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| 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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| 113 | |
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[503] | 114 | zwx(ji,jk) = zwx(ji,jk) + p2dt*zua*umask(ji,jj,jk) |
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| 115 | zwz(ji,jk) = zwz(ji,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 | |
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| 119 | END DO |
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| 120 | |
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[216] | 121 | ! ! =============== |
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| 122 | END DO ! End of slab |
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| 123 | ! ! =============== |
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[3] | 124 | |
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| 125 | END SUBROUTINE dyn_zdf_exp |
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| 126 | |
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| 127 | !!============================================================================== |
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| 128 | END MODULE dynzdf_exp |
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