[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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| 6 | |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | !! dyn_zdf_exp : update the momentum trend with the vertical diffu- |
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| 9 | !! sion using an explicit time-stepping scheme. |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! * Modules used |
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| 12 | USE oce ! ocean dynamics and tracers |
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| 13 | USE dom_oce ! ocean space and time domain |
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| 14 | USE phycst ! physical constants |
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| 15 | USE zdf_oce ! ocean vertical physics |
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| 16 | USE in_out_manager ! I/O manager |
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| 17 | USE taumod ! surface ocean stress |
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| 18 | USE trddyn_oce ! dynamics trends diagnostics variables |
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| 19 | |
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| 20 | IMPLICIT NONE |
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| 21 | PRIVATE |
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| 22 | |
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| 23 | !! * Routine accessibility |
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| 24 | PUBLIC dyn_zdf_exp ! called by step.F90 |
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| 25 | |
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| 26 | !! * Substitutions |
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| 27 | # include "domzgr_substitute.h90" |
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| 28 | # include "vectopt_loop_substitute.h90" |
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| 29 | !!---------------------------------------------------------------------- |
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| 30 | !! OPA 9.0 , LODYC-IPSL (2003) |
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| 31 | !!---------------------------------------------------------------------- |
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| 32 | |
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| 33 | CONTAINS |
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| 34 | |
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| 35 | SUBROUTINE dyn_zdf_exp( kt ) |
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| 36 | !!---------------------------------------------------------------------- |
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| 37 | !! *** ROUTINE dyn_zdf_exp *** |
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| 38 | !! |
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| 39 | !! ** Purpose : Compute the trend due to the vert. momentum diffusion |
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| 40 | !! |
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| 41 | !! ** Method : Explicit forward time stepping with a time splitting |
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| 42 | !! technique. The vertical diffusion of momentum is given by: |
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| 43 | !! diffu = dz( avmu dz(u) ) = 1/e3u dk+1( avmu/e3uw dk(ub) ) |
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| 44 | !! Surface boundary conditions: wind stress input |
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| 45 | !! Bottom boundary conditions : bottom stress (cf zdfbfr.F90) |
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| 46 | !! Add this trend to the general trend ua : |
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| 47 | !! ua = ua + dz( avmu dz(u) ) |
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| 48 | !! |
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| 49 | !! ** Action : - Update (ua,va) with the vertical diffusive trend |
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| 50 | !! - Save the trends in (utrd,vtrd) ('key_diatrends') |
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| 51 | !! |
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| 52 | !! History : |
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| 53 | !! ! 90-10 (B. Blanke) Original code |
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| 54 | !! ! 97-05 (G. Madec) vertical component of isopycnal |
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| 55 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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| 56 | !!--------------------------------------------------------------------- |
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| 57 | !! * Arguments |
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| 58 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 59 | |
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| 60 | !! * Local declarations |
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| 61 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 62 | REAL(wp) :: & |
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| 63 | zrau0r, zlavmr, z2dt, zua, zva ! temporary scalars |
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| 64 | REAL(wp), DIMENSION(jpi,jpk) :: & |
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| 65 | zwx, zwy, zwz, zww ! temporary workspace arrays |
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[109] | 66 | #if defined key_trddyn || defined key_trd_vor |
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[3] | 67 | INTEGER :: & |
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| 68 | ikbu, ikbum1 , ikbv, ikbvm1 ! temporary integers |
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| 69 | #endif |
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| 70 | !!---------------------------------------------------------------------- |
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| 71 | |
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| 72 | IF( kt == nit000 ) THEN |
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| 73 | IF(lwp) WRITE(numout,*) |
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| 74 | IF(lwp) WRITE(numout,*) 'dyn_zdf_exp : vertical momentum diffusion explicit operator' |
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| 75 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ ' |
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| 76 | ENDIF |
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| 77 | |
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| 78 | ! Local constant initialization |
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| 79 | ! ----------------------------- |
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| 80 | zrau0r = 1. / rau0 ! inverse of the reference density |
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| 81 | zlavmr = 1. / float( n_zdfexp ) ! inverse of the number of sub time step |
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| 82 | z2dt = 2. * rdt ! Leap-frog environnement |
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| 83 | IF( neuler == 0 .AND. kt == nit000 ) z2dt = rdt ! Euler time stepping when starting from rest |
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| 84 | |
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| 85 | ! ! =============== |
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| 86 | DO jj = 2, jpjm1 ! Vertical slab |
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| 87 | ! ! =============== |
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| 88 | |
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| 89 | ! Surface boundary condition |
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| 90 | DO ji = 2, jpim1 |
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| 91 | zwy(ji,1) = taux(ji,jj) * zrau0r |
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| 92 | zww(ji,1) = tauy(ji,jj) * zrau0r |
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| 93 | END DO |
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| 94 | |
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| 95 | ! Initialization of x, z and contingently trends array |
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| 96 | DO jk = 1, jpk |
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| 97 | DO ji = 2, jpim1 |
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| 98 | zwx(ji,jk) = ub(ji,jj,jk) |
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| 99 | zwz(ji,jk) = vb(ji,jj,jk) |
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[109] | 100 | #if defined key_trddyn || defined key_trd_vor |
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[3] | 101 | utrd(ji,jj,jk,7) = ua(ji,jj,jk) |
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| 102 | vtrd(ji,jj,jk,7) = va(ji,jj,jk) |
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| 103 | #endif |
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| 104 | END DO |
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| 105 | END DO |
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| 106 | |
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| 107 | ! Time splitting loop |
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| 108 | DO jl = 1, n_zdfexp |
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| 109 | |
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| 110 | ! First vertical derivative |
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| 111 | DO jk = 2, jpk |
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| 112 | DO ji = 2, jpim1 |
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| 113 | zwy(ji,jk) = avmu(ji,jj,jk) * ( zwx(ji,jk-1) - zwx(ji,jk) ) / fse3uw(ji,jj,jk) |
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| 114 | zww(ji,jk) = avmv(ji,jj,jk) * ( zwz(ji,jk-1) - zwz(ji,jk) ) / fse3vw(ji,jj,jk) |
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| 115 | END DO |
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| 116 | END DO |
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| 117 | |
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| 118 | ! Second vertical derivative and trend estimation at kt+l*rdt/n_zdfexp |
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| 119 | DO jk = 1, jpkm1 |
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| 120 | DO ji = 2, jpim1 |
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| 121 | zua = zlavmr*( zwy(ji,jk) - zwy(ji,jk+1) ) / fse3u(ji,jj,jk) |
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| 122 | zva = zlavmr*( zww(ji,jk) - zww(ji,jk+1) ) / fse3v(ji,jj,jk) |
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| 123 | ua(ji,jj,jk) = ua(ji,jj,jk) + zua |
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| 124 | va(ji,jj,jk) = va(ji,jj,jk) + zva |
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| 125 | |
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| 126 | zwx(ji,jk) = zwx(ji,jk) + z2dt*zua*umask(ji,jj,jk) |
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| 127 | zwz(ji,jk) = zwz(ji,jk) + z2dt*zva*vmask(ji,jj,jk) |
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| 128 | END DO |
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| 129 | END DO |
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| 130 | |
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| 131 | END DO |
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| 132 | |
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[109] | 133 | #if defined key_trddyn || defined key_trd_vor |
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[3] | 134 | ! diagnose the vertical diffusive momentum trends |
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| 135 | |
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| 136 | ! save the total vertical momentum diffusive trend |
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| 137 | DO jk = 1, jpkm1 |
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| 138 | DO ji = 2, jpim1 |
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| 139 | utrd(ji,jj,jk,7) = ua(ji,jj,jk) - utrd(ji,jj,jk,7) |
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| 140 | vtrd(ji,jj,jk,7) = va(ji,jj,jk) - vtrd(ji,jj,jk,7) |
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| 141 | END DO |
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| 142 | END DO |
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| 143 | |
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| 144 | ! subtract and save surface and momentum fluxes |
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| 145 | DO ji = 2, jpim1 |
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| 146 | ! save the surface momentum fluxes |
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| 147 | tautrd(ji,jj,1) = zwy(ji,1) / fse3u(ji,jj,1) |
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| 148 | tautrd(ji,jj,2) = zww(ji,1) / fse3v(ji,jj,1) |
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| 149 | ! save bottom friction momentum fluxes |
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| 150 | ikbu = MIN( mbathy(ji+1,jj), mbathy(ji,jj) ) |
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| 151 | ikbum1 = MAX( ikbu-1, 1 ) |
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| 152 | ikbv = MIN( mbathy(ji,jj+1), mbathy(ji,jj) ) |
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| 153 | ikbvm1 = MAX( ikbv-1, 1 ) |
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| 154 | tautrd(ji,jj,3) = avmu(ji,jj,ikbu) * zwx(ji,ikbum1) & |
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| 155 | / ( fse3u(ji,jj,ikbum1) * fse3uw(ji,jj,ikbu) ) |
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| 156 | tautrd(ji,jj,4) = avmv(ji,jj,ikbv) * zwz(ji,ikbvm1) & |
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| 157 | / ( fse3v(ji,jj,ikbvm1) * fse3vw(ji,jj,ikbv) ) |
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| 158 | ! subtract surface forcing and bottom friction trend from vertical |
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| 159 | ! diffusive momentum trend |
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| 160 | utrd(ji,jj,1 ,7) = utrd(ji,jj,1 ,7) - tautrd(ji,jj,1) |
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| 161 | utrd(ji,jj,ikbum1,7) = utrd(ji,jj,ikbum1,7) - tautrd(ji,jj,3) |
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| 162 | vtrd(ji,jj,1 ,7) = vtrd(ji,jj,1 ,7) - tautrd(ji,jj,2) |
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| 163 | vtrd(ji,jj,ikbvm1,7) = vtrd(ji,jj,ikbvm1,7) - tautrd(ji,jj,4) |
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| 164 | END DO |
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| 165 | #endif |
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| 166 | ! ! =============== |
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| 167 | END DO ! End of slab |
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| 168 | ! ! =============== |
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| 169 | |
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| 170 | END SUBROUTINE dyn_zdf_exp |
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| 171 | |
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| 172 | !!============================================================================== |
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| 173 | END MODULE dynzdf_exp |
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