[3] | 1 | SUBROUTINE zdf_tke( kt ) |
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| 2 | !!---------------------------------------------------------------------- |
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| 3 | !! *** ROUTINE zdf_tke *** |
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| 4 | !! |
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| 5 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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| 6 | !! coefficients using a 1.5 turbulent closure scheme. |
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| 7 | !! |
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| 8 | !! ** Method : The time evolution of the turbulent kinetic energy |
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| 9 | !! (tke) is computed from a prognostic equation : |
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| 10 | !! d(en)/dt = eboost eav (d(u)/dz)**2 ! shear production |
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| 11 | !! + d( efave eav d(en)/dz )/dz ! diffusion of tke |
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| 12 | !! + g/rau0 pdl eav d(rau)/dz ! stratif. destruc. |
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| 13 | !! - ediss / emxl en**(2/3) ! dissipation |
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| 14 | !! with the boundary conditions: |
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| 15 | !! surface: en = max( emin0,ebb sqrt(taux^2 + tauy^2) ) |
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| 16 | !! bottom : en = emin |
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| 17 | !! -1- The dissipation and mixing turbulent lengh scales are computed |
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| 18 | !! from the usual diagnostic buoyancy length scale: |
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| 19 | !! mxl= 1/(sqrt(en)/N) WHERE N is the brunt-vaisala frequency |
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| 20 | !! Four cases : |
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| 21 | !! nmxl=0 : mxl bounded by the distance to surface and bottom. |
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| 22 | !! zmxld = zmxlm = mxl |
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| 23 | !! nmxl=1 : mxl bounded by the vertical scale factor. |
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| 24 | !! zmxld = zmxlm = mxl |
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| 25 | !! nmxl=2 : mxl bounded such that the vertical derivative of mxl |
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| 26 | !! is less than 1 (|d/dz(xml)|<1). |
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| 27 | !! zmxld = zmxlm = mxl |
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| 28 | !! nmxl=3 : lup = mxl bounded using |d/dz(xml)|<1 from the surface |
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| 29 | !! to the bottom |
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| 30 | !! ldown = mxl bounded using |d/dz(xml)|<1 from the bottom |
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| 31 | !! to the surface |
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| 32 | !! zmxld = sqrt (lup*ldown) ; zmxlm = min(lup,ldown) |
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| 33 | !! -2- Compute the now Turbulent kinetic energy. The time differencing |
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| 34 | !! is implicit for vertical diffusion term, linearized for kolmo- |
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| 35 | !! goroff dissipation term, and explicit forward for both buoyancy |
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| 36 | !! and dynamic production terms. Thus a tridiagonal linear system is |
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| 37 | !! solved. |
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| 38 | !! Note that - the shear production is multiplied by eboost in order |
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| 39 | !! to set the critic richardson number to ri_c (namelist parameter) |
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| 40 | !! - the destruction by stratification term is multiplied |
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| 41 | !! by the Prandtl number (defined by an empirical funtion of the local |
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| 42 | !! Richardson number) if npdl=1 (namelist parameter) |
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| 43 | !! coefficient (zesh2): |
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| 44 | !! -3- Compute the now vertical eddy vicosity and diffusivity |
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| 45 | !! coefficients from en (before the time stepping) and zmxlm: |
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| 46 | !! avm = max( avtb, ediff*zmxlm*en^1/2 ) |
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| 47 | !! avt = max( avmb, pdl*avm ) (pdl=1 if npdl=0) |
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| 48 | !! eav = max( avmb, avm ) |
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| 49 | !! avt and avm are horizontally averaged to avoid numerical insta- |
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| 50 | !! bilities. |
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| 51 | !! N.B. The computation is done from jk=2 to jpkm1 except for |
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| 52 | !! en. Surface value of avt avmu avmv are set once a time to |
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| 53 | !! their background value in routine zdftke_init. |
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| 54 | !! |
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| 55 | !! ** Action : compute en (now turbulent kinetic energy) |
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| 56 | !! update avt, avmu, avmv (before vertical eddy coeff.) |
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| 57 | !! |
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| 58 | !! References : |
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| 59 | !! Gaspar et al., jgr, 95, 1990, |
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| 60 | !! Blanke and Delecluse, jpo, 1991 |
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| 61 | !! History : |
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| 62 | !! 9.0 ! 02-08 (G. Madec) autotasking optimization |
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| 63 | !!---------------------------------------------------------------------- |
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| 64 | !! * Modules used |
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| 65 | USE oce , zwd => ua, & ! use ua as workspace |
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| 66 | zmxlm => ta, & ! use ta as workspace |
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| 67 | zmxld => sa ! use sa as workspace |
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| 68 | !! * arguments |
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| 69 | INTEGER, INTENT( in ) :: kt ! ocean time step |
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| 70 | |
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| 71 | !! * local declarations |
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| 72 | INTEGER :: ji, jj, jk ! dummy loop arguments |
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| 73 | REAL(wp) :: & |
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| 74 | zmlmin, zbbrau, & ! temporary scalars |
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| 75 | zfact1, zfact2, zfact3, & ! |
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| 76 | zrn2, zesurf, & ! |
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| 77 | ztx2, zty2, zav, & ! |
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| 78 | zcoef, zcof, zsh2, & ! |
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| 79 | zdku, zdkv, zpdl, zri, & ! |
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| 80 | zsqen, zesh2, & ! |
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| 81 | zemxl, zemlm, zemlp |
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| 82 | !!-------------------------------------------------------------------- |
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| 83 | !! OPA8.5, LODYC-IPSL (2002) |
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| 84 | !!-------------------------------------------------------------------- |
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| 85 | |
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| 86 | |
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| 87 | ! 0. Initialization |
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| 88 | ! -------------- |
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| 89 | IF( kt == nit000 ) CALL zdf_tke_init |
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| 90 | |
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| 91 | ! Local constant |
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| 92 | zmlmin = 1.e-8 |
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| 93 | zbbrau = .5 * ebb / rau0 |
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| 94 | zfact1 = -.5 * rdt * efave |
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| 95 | zfact2 = 1.5 * rdt * ediss |
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| 96 | zfact3 = 0.5 * rdt * ediss |
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| 97 | |
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| 98 | |
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| 99 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
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| 100 | ! I. Mixing length |
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| 101 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 102 | |
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| 103 | ! ! =============== |
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| 104 | DO jj = 2, jpjm1 ! Vertical slab |
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| 105 | ! ! =============== |
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| 106 | ! Buoyancy length scale: l=sqrt(2*e/n**2) |
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| 107 | ! --------------------- |
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| 108 | zmxlm(:,jj, 1 ) = zmlmin ! surface set to the minimum value |
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| 109 | zmxlm(:,jj,jpk) = zmlmin ! bottom set to the minimum value |
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| 110 | !CDIR NOVERRCHK |
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| 111 | DO jk = 2, jpkm1 |
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| 112 | !CDIR NOVERRCHK |
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| 113 | DO ji = 2, jpim1 |
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| 114 | zrn2 = MAX( rn2(ji,jj,jk), rsmall ) |
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| 115 | zmxlm(ji,jj,jk) = MAX( SQRT( 2. * en(ji,jj,jk) / zrn2 ), zmlmin ) |
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| 116 | END DO |
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| 117 | END DO |
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| 118 | |
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| 119 | |
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| 120 | ! Physical limits for the mixing length |
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| 121 | ! ------------------------------------- |
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| 122 | zmxld(:,jj, 1 ) = zmlmin ! surface set to the minimum value |
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| 123 | zmxld(:,jj,jpk) = zmlmin ! bottom set to the minimum value |
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| 124 | |
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| 125 | SELECT CASE ( nmxl ) |
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| 126 | |
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| 127 | CASE ( 0 ) ! bounded by the distance to surface and bottom |
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| 128 | |
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| 129 | DO jk = 2, jpkm1 |
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| 130 | DO ji = 2, jpim1 |
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| 131 | zemxl = MIN( fsdepw(ji,jj,jk), zmxlm(ji,jj,jk), & |
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| 132 | & fsdepw(ji,jj,mbathy(ji,jj)) - fsdepw(ji,jj,jk) ) |
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| 133 | zmxlm(ji,jj,jk) = zemxl |
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| 134 | zmxld(ji,jj,jk) = zemxl |
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| 135 | END DO |
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| 136 | END DO |
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| 137 | |
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| 138 | CASE ( 1 ) ! bounded by the vertical scale factor |
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| 139 | |
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| 140 | DO jk = 2, jpkm1 |
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| 141 | DO ji = 2, jpim1 |
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| 142 | zemxl = MIN( fse3w(ji,jj,jk), zmxlm(ji,jj,jk) ) |
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| 143 | zmxlm(ji,jj,jk) = zemxl |
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| 144 | zmxld(ji,jj,jk) = zemxl |
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| 145 | END DO |
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| 146 | END DO |
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| 147 | |
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| 148 | CASE ( 2 ) ! |dk[xml]| bounded by e3t : |
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| 149 | |
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| 150 | DO jk = 2, jpk ! from the surface to the bottom : |
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| 151 | DO ji = 2, jpim1 |
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| 152 | zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk-1) + fse3t(ji,jj,jk-1), zmxlm(ji,jj,jk) ) |
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| 153 | END DO |
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| 154 | END DO |
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| 155 | DO jk = jpkm1, 2, -1 ! from the bottom to the surface : |
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| 156 | DO ji = 2, jpim1 |
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| 157 | zemxl = MIN( zmxlm(ji,jj,jk+1) + fse3t(ji,jj,jk+1), zmxlm(ji,jj,jk) ) |
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| 158 | zmxlm(ji,jj,jk) = zemxl |
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| 159 | zmxld(ji,jj,jk) = zemxl |
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| 160 | END DO |
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| 161 | END DO |
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| 162 | |
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| 163 | CASE ( 3 ) ! lup and ldown, |dk[xml]| bounded by e3t : |
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| 164 | |
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| 165 | DO jk = 2, jpk ! from the surface to the bottom : lup |
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| 166 | DO ji = 2, jpim1 |
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| 167 | zmxld(ji,jj,jk) = MIN( zmxld(ji,jj,jk-1) + fse3t(ji,jj,jk-1), zmxlm(ji,jj,jk) ) |
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| 168 | END DO |
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| 169 | END DO |
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| 170 | DO jk = jpkm1, 1, -1 ! from the bottom to the surface : ldown |
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| 171 | DO ji = 2, jpim1 |
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| 172 | zmxlm(ji,jj,jk) = MIN( zmxlm(ji,jj,jk+1) + fse3t(ji,jj,jk+1), zmxlm(ji,jj,jk) ) |
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| 173 | END DO |
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| 174 | END DO |
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| 175 | !CDIR NOVERRCHK |
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| 176 | DO jk = 1, jpk |
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| 177 | !CDIR NOVERRCHK |
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| 178 | DO ji = 2, jpim1 |
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| 179 | zemlm = MIN ( zmxld(ji,jj,jk), zmxlm(ji,jj,jk) ) |
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| 180 | zemlp = SQRT( zmxld(ji,jj,jk) * zmxlm(ji,jj,jk) ) |
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| 181 | zmxlm(ji,jj,jk) = zemlm |
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| 182 | zmxld(ji,jj,jk) = zemlp |
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| 183 | END DO |
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| 184 | END DO |
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| 185 | |
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| 186 | END SELECT |
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| 187 | |
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| 188 | |
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| 189 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
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| 190 | ! II Tubulent kinetic energy time stepping |
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| 191 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 192 | |
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| 193 | |
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| 194 | ! 1. Vertical eddy viscosity on tke (put in zmxlm) and first estimate of avt |
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| 195 | ! --------------------------------------------------------------------- |
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| 196 | !CDIR NOVERRCHK |
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| 197 | DO jk = 2, jpkm1 |
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| 198 | !CDIR NOVERRCHK |
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| 199 | DO ji = 2, jpim1 |
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| 200 | zsqen = SQRT( en(ji,jj,jk) ) |
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| 201 | zav = ediff * zmxlm(ji,jj,jk) * zsqen |
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| 202 | avt (ji,jj,jk) = MAX( zav, avtb(jk) ) * tmask(ji,jj,jk) |
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| 203 | zmxlm(ji,jj,jk) = MAX( zav, avmb(jk) ) * tmask(ji,jj,jk) |
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| 204 | zmxld(ji,jj,jk) = zsqen / zmxld(ji,jj,jk) |
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| 205 | END DO |
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| 206 | END DO |
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| 207 | |
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| 208 | |
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| 209 | ! 2. Surface boundary condition on tke and its eddy viscosity (zmxlm) |
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| 210 | ! ------------------------------------------------- |
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| 211 | ! en(1) = ebb sqrt(taux^2+tauy^2) / rau0 (min value emin0) |
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| 212 | ! zmxlm(1) = avmb(1) and zmxlm(jpk) = 0. |
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| 213 | !CDIR NOVERRCHK |
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| 214 | DO ji = 2, jpim1 |
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| 215 | ztx2 = taux(ji-1,jj ) + taux(ji,jj) |
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| 216 | zty2 = tauy(ji ,jj-1) + tauy(ji,jj) |
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| 217 | zesurf = zbbrau * SQRT( ztx2 * ztx2 + zty2 * zty2 ) |
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| 218 | en (ji,jj,1) = MAX( zesurf, emin0 ) * tmask(ji,jj,1) |
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| 219 | zmxlm(ji,jj,1 ) = avmb(1) * tmask(ji,jj,1) |
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| 220 | zmxlm(ji,jj,jpk) = 0.e0 |
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| 221 | END DO |
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| 222 | |
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| 223 | |
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| 224 | ! 3. Now Turbulent kinetic energy (output in en) |
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| 225 | ! ------------------------------- |
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| 226 | ! Resolution of a tridiagonal linear system by a "methode de chasse" |
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| 227 | ! computation from level 2 to jpkm1 (e(1) already computed and |
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| 228 | ! e(jpk)=0 ). |
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| 229 | |
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| 230 | SELECT CASE ( npdl ) |
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| 231 | |
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| 232 | CASE ( 0 ) ! No Prandtl number |
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| 233 | DO jk = 2, jpkm1 |
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| 234 | DO ji = 2, jpim1 |
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| 235 | ! zesh2 = eboost * (du/dz)^2 - N^2 |
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| 236 | zcoef = 0.5 / fse3w(ji,jj,jk) |
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| 237 | ! shear |
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| 238 | zdku = zcoef * ( ub(ji-1, jj ,jk-1) + ub(ji,jj,jk-1) & |
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| 239 | & - ub(ji-1, jj ,jk ) - ub(ji,jj,jk ) ) |
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| 240 | zdkv = zcoef * ( vb( ji ,jj-1,jk-1) + vb(ji,jj,jk-1) & |
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| 241 | & - vb( ji ,jj-1,jk ) - vb(ji,jj,jk ) ) |
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| 242 | ! coefficient (zesh2) |
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| 243 | zesh2 = eboost * ( zdku*zdku + zdkv*zdkv ) - rn2(ji,jj,jk) |
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| 244 | |
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| 245 | ! Matrix |
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| 246 | zcof = zfact1 * tmask(ji,jj,jk) |
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| 247 | ! lower diagonal |
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| 248 | avmv(ji,jj,jk) = zcof * ( zmxlm(ji,jj,jk ) + zmxlm(ji,jj,jk-1) ) & |
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| 249 | & / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) ) |
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| 250 | ! upper diagonal |
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| 251 | avmu(ji,jj,jk) = zcof * ( zmxlm(ji,jj,jk+1) + zmxlm(ji,jj,jk ) ) & |
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| 252 | & / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk) ) |
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| 253 | ! diagonal |
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| 254 | zwd(ji,jj,jk) = 1. - avmv(ji,jj,jk) - avmu(ji,jj,jk) + zfact2 * zmxld(ji,jj,jk) |
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| 255 | ! right hand side in en |
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| 256 | en(ji,jj,jk) = en(ji,jj,jk) + zfact3 * zmxld(ji,jj,jk) * en (ji,jj,jk) & |
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| 257 | & + rdt * zmxlm(ji,jj,jk) * zesh2 |
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| 258 | END DO |
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| 259 | END DO |
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| 260 | |
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| 261 | CASE ( 1 ) ! Prandtl number |
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| 262 | DO jk = 2, jpkm1 |
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| 263 | DO ji = 2, jpim1 |
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| 264 | ! zesh2 = eboost * (du/dz)^2 - pdl * N^2 |
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| 265 | zcoef = 0.5 / fse3w(ji,jj,jk) |
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| 266 | ! shear |
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| 267 | zdku = zcoef * ( ub(ji-1,jj ,jk-1) + ub(ji,jj,jk-1) & |
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| 268 | & - ub(ji-1,jj ,jk ) - ub(ji,jj,jk ) ) |
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| 269 | zdkv = zcoef * ( vb(ji ,jj-1,jk-1) + vb(ji,jj,jk-1) & |
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| 270 | & - vb(ji ,jj-1,jk ) - vb(ji,jj,jk ) ) |
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| 271 | ! square of vertical shear |
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| 272 | zsh2 = zdku * zdku + zdkv * zdkv |
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| 273 | ! Prandtl number |
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| 274 | zri = MAX( rn2(ji,jj,jk), 0. ) / ( zsh2 + 1.e-20 ) |
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| 275 | zpdl = 1.0 |
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| 276 | IF( zri >= 0.2 ) zpdl = 0.2 / zri |
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| 277 | zpdl = MAX( 0.1, zpdl ) |
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| 278 | ! coefficient (esh2) |
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| 279 | zesh2 = eboost * zsh2 - zpdl * rn2(ji,jj,jk) |
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| 280 | |
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| 281 | ! Matrix |
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| 282 | zcof = zfact1 * tmask(ji,jj,jk) |
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| 283 | ! lower diagonal |
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| 284 | avmv(ji,jj,jk) = zcof * ( zmxlm(ji,jj,jk ) + zmxlm(ji,jj,jk-1) ) & |
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| 285 | & / ( fse3t(ji,jj,jk-1) * fse3w(ji,jj,jk ) ) |
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| 286 | ! upper diagonal |
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| 287 | avmu(ji,jj,jk) = zcof * ( zmxlm(ji,jj,jk+1) + zmxlm(ji,jj,jk ) ) & |
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| 288 | & / ( fse3t(ji,jj,jk ) * fse3w(ji,jj,jk) ) |
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| 289 | ! diagonal |
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| 290 | zwd(ji,jj,jk) = 1. - avmv(ji,jj,jk) - avmu(ji,jj,jk) + zfact2 * zmxld(ji,jj,jk) |
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| 291 | ! right hand side in en |
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| 292 | en(ji,jj,jk) = en(ji,jj,jk) + zfact3 * zmxld(ji,jj,jk) * en (ji,jj,jk) & |
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| 293 | & + rdt * zmxlm(ji,jj,jk) * zesh2 |
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| 294 | ! save masked Prandlt number in zmxlm array |
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| 295 | zmxld(ji,jj,jk) = zpdl * tmask(ji,jj,jk) |
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| 296 | END DO |
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| 297 | END DO |
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| 298 | |
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| 299 | END SELECT |
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| 300 | |
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| 301 | |
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| 302 | ! 4. Matrix inversion from level 2 (tke prescribed at level 1) |
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| 303 | !--------------------------------- |
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| 304 | |
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| 305 | ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 |
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| 306 | DO jk = 3, jpkm1 |
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| 307 | DO ji = 2, jpim1 |
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| 308 | zwd(ji,jj,jk) = zwd(ji,jj,jk) - avmv(ji,jj,jk) * avmu(ji,jj,jk-1) / zwd(ji,jj,jk-1) |
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| 309 | END DO |
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| 310 | END DO |
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| 311 | |
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| 312 | ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1 |
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| 313 | DO ji = 2, jpim1 |
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| 314 | avmv(ji,jj,2) = en(ji,jj,2) - avmv(ji,jj,2) * en(ji,jj,1) ! Surface boudary conditions on tke |
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| 315 | END DO |
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| 316 | DO jk = 3, jpkm1 |
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| 317 | DO ji = 2, jpim1 |
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| 318 | avmv(ji,jj,jk) = en(ji,jj,jk) - avmv(ji,jj,jk) / zwd(ji,jj,jk-1) *avmv(ji,jj,jk-1) |
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| 319 | END DO |
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| 320 | END DO |
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| 321 | |
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| 322 | ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk |
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| 323 | DO ji = 2, jpim1 |
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| 324 | en(ji,jj,jpkm1) = avmv(ji,jj,jpkm1) / zwd(ji,jj,jpkm1) |
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| 325 | END DO |
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| 326 | DO jk = jpk-2, 2, -1 |
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| 327 | DO ji = 2, jpim1 |
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| 328 | en(ji,jj,jk) = ( avmv(ji,jj,jk) - avmu(ji,jj,jk) * en(ji,jj,jk+1) ) / zwd(ji,jj,jk) |
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| 329 | END DO |
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| 330 | END DO |
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| 331 | |
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| 332 | ! Save the result in en and set minimum value of tke : emin |
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| 333 | DO jk = 2, jpkm1 |
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| 334 | DO ji = 2, jpim1 |
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| 335 | en(ji,jj,jk) = MAX( en(ji,jj,jk), emin ) * tmask(ji,jj,jk) |
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| 336 | END DO |
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| 337 | END DO |
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| 338 | ! ! =============== |
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| 339 | END DO ! End of slab |
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| 340 | ! ! =============== |
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| 341 | |
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| 342 | ! Lateral boundary conditions on ( avt, en ) (sign unchanged) |
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| 343 | ! --------------------------------========= |
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| 344 | CALL lbc_lnk( avt, 'W', 1. ) ; CALL lbc_lnk( en , 'W', 1. ) |
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| 345 | |
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| 346 | |
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| 347 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
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| 348 | ! III. Before vertical eddy vicosity and diffusivity coefficients |
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| 349 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 350 | |
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| 351 | ! ! =============== |
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| 352 | DO jk = 2, jpkm1 ! Horizontal slab |
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| 353 | ! ! =============== |
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| 354 | SELECT CASE ( nave ) |
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| 355 | |
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| 356 | CASE ( 0 ) ! no horizontal average |
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| 357 | |
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| 358 | ! Vertical eddy viscosity |
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| 359 | |
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| 360 | DO jj = 2, jpjm1 |
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| 361 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 362 | avmu(ji,jj,jk) = ( avt (ji,jj,jk) + avt (ji+1,jj ,jk) ) * umask(ji,jj,jk) & |
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| 363 | & / MAX( 1., tmask(ji,jj,jk) + tmask(ji+1,jj ,jk) ) |
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| 364 | avmv(ji,jj,jk) = ( avt (ji,jj,jk) + avt (ji ,jj+1,jk) ) * vmask(ji,jj,jk) & |
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| 365 | & / MAX( 1., tmask(ji,jj,jk) + tmask(ji ,jj+1,jk) ) |
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| 366 | END DO |
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| 367 | END DO |
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| 368 | |
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| 369 | |
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| 370 | CASE ( 1 ) ! horizontal average |
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| 371 | |
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| 372 | ! ( 1/2 1/2 ) |
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| 373 | ! Eddy viscosity: horizontal average: avmu = 1/4 ( 1 1 ) |
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| 374 | ! ( 1/2 1 1/2 ) ( 1/2 1/2 ) |
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| 375 | ! avmv = 1/4 ( 1/2 1 1/2 ) |
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| 376 | |
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| 377 | !! caution vectopt_memory change the solution (last digit of the solver stat) |
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| 378 | # if defined key_vectopt_memory |
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| 379 | DO jj = 2, jpjm1 |
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| 380 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 381 | avmu(ji,jj,jk) = ( avt(ji,jj ,jk) + avt(ji+1,jj ,jk) & |
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| 382 | & +.5*( avt(ji,jj-1,jk) + avt(ji+1,jj-1,jk) & |
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| 383 | & +avt(ji,jj+1,jk) + avt(ji+1,jj+1,jk) ) ) * eumean(ji,jj,jk) |
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| 384 | |
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| 385 | avmv(ji,jj,jk) = ( avt(ji ,jj,jk) + avt(ji ,jj+1,jk) & |
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| 386 | & +.5*( avt(ji-1,jj,jk) + avt(ji-1,jj+1,jk) & |
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| 387 | & +avt(ji+1,jj,jk) + avt(ji+1,jj+1,jk) ) ) * evmean(ji,jj,jk) |
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| 388 | END DO |
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| 389 | END DO |
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| 390 | # else |
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| 391 | DO jj = 2, jpjm1 |
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| 392 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 393 | avmu(ji,jj,jk) = ( avt (ji,jj ,jk) + avt (ji+1,jj ,jk) & |
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| 394 | & +.5*( avt (ji,jj-1,jk) + avt (ji+1,jj-1,jk) & |
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| 395 | & +avt (ji,jj+1,jk) + avt (ji+1,jj+1,jk) ) ) * umask(ji,jj,jk) & |
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| 396 | & / MAX( 1., tmask(ji,jj ,jk) + tmask(ji+1,jj ,jk) & |
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| 397 | & +.5*( tmask(ji,jj-1,jk) + tmask(ji+1,jj-1,jk) & |
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| 398 | & +tmask(ji,jj+1,jk) + tmask(ji+1,jj+1,jk) ) ) |
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| 399 | |
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| 400 | avmv(ji,jj,jk) = ( avt (ji ,jj,jk) + avt (ji ,jj+1,jk) & |
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| 401 | & +.5*( avt (ji-1,jj,jk) + avt (ji-1,jj+1,jk) & |
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| 402 | & +avt (ji+1,jj,jk) + avt (ji+1,jj+1,jk) ) ) * vmask(ji,jj,jk) & |
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| 403 | & / MAX( 1., tmask(ji ,jj,jk) + tmask(ji ,jj+1,jk) & |
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| 404 | & +.5*( tmask(ji-1,jj,jk) + tmask(ji-1,jj+1,jk) & |
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| 405 | & +tmask(ji+1,jj,jk) + tmask(ji+1,jj+1,jk) ) ) |
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| 406 | END DO |
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| 407 | END DO |
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| 408 | # endif |
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| 409 | END SELECT |
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| 410 | ! ! =============== |
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| 411 | END DO ! End of slab |
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| 412 | ! ! =============== |
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| 413 | |
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| 414 | ! Lateral boundary conditions (avmu,avmv) (sign unchanged) |
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| 415 | CALL lbc_lnk( avmu, 'U', 1. ) ; CALL lbc_lnk( avmv, 'V', 1. ) |
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| 416 | |
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| 417 | ! ! =============== |
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| 418 | DO jk = 2, jpkm1 ! Horizontal slab |
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| 419 | ! ! =============== |
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| 420 | SELECT CASE ( nave ) |
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| 421 | |
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| 422 | CASE ( 1 ) ! horizontal average |
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| 423 | |
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| 424 | ! Vertical eddy diffusivity |
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| 425 | ! ------------------------------ |
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| 426 | ! (1 2 1) |
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| 427 | ! horizontal average avt = 1/16 (2 4 2) |
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| 428 | ! (1 2 1) |
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| 429 | !! caution vectopt_memory change the solution (last digit of the solver stat) |
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| 430 | # if defined key_vectopt_memory |
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| 431 | DO jj = 2, jpjm1 |
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| 432 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 433 | avt(ji,jj,jk) = ( avmu(ji,jj,jk) + avmu(ji-1,jj ,jk) & |
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| 434 | & + avmv(ji,jj,jk) + avmv(ji ,jj-1,jk) ) * etmean(ji,jj,jk) |
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| 435 | END DO |
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| 436 | END DO |
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| 437 | # else |
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| 438 | DO jj = 2, jpjm1 |
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| 439 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 440 | avt(ji,jj,jk) = ( avmu (ji,jj,jk) + avmu (ji-1,jj ,jk) & |
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| 441 | & + avmv (ji,jj,jk) + avmv (ji ,jj-1,jk) ) * tmask(ji,jj,jk) & |
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| 442 | & / MAX( 1., umask(ji,jj,jk) + umask(ji-1,jj ,jk) & |
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| 443 | & + vmask(ji,jj,jk) + vmask(ji ,jj-1,jk) ) |
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| 444 | END DO |
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| 445 | END DO |
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| 446 | # endif |
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| 447 | END SELECT |
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| 448 | |
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| 449 | |
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| 450 | ! multiplied by the Prandtl number (npdl>1) |
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| 451 | ! ---------------------------------------- |
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| 452 | IF( npdl == 1 ) THEN |
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| 453 | DO jj = 2, jpjm1 |
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| 454 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 455 | zpdl = zmxld(ji,jj,jk) |
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| 456 | avt(ji,jj,jk) = MAX( zpdl * avt(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
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| 457 | END DO |
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| 458 | END DO |
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| 459 | ENDIF |
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| 460 | |
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| 461 | ! Minimum value on the eddy viscosity |
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| 462 | ! ---------------------------------------- |
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| 463 | DO jj = 1, jpj |
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| 464 | DO ji = 1, jpi |
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| 465 | avmu(ji,jj,jk) = MAX( avmu(ji,jj,jk), avmb(jk) ) * umask(ji,jj,jk) |
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| 466 | avmv(ji,jj,jk) = MAX( avmv(ji,jj,jk), avmb(jk) ) * vmask(ji,jj,jk) |
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| 467 | END DO |
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| 468 | END DO |
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| 469 | ! ! =============== |
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| 470 | END DO ! End of slab |
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| 471 | ! ! =============== |
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| 472 | |
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| 473 | |
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| 474 | ! Lateral boundary conditions on avt (W-point (=T), sign unchanged) |
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| 475 | ! ------------------------------===== |
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| 476 | CALL lbc_lnk( avt, 'W', 1. ) |
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| 477 | |
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[106] | 478 | IF(l_ctl) THEN |
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| 479 | WRITE(numout,*) ' tke e : ', SUM( en (1:nictl+1,1:njctl+1,:) ), ' t : ', SUM( avt (1:nictl+1,1:njctl+1,:) ) |
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| 480 | WRITE(numout,*) ' u : ', SUM( avmu(1:nictl+1,1:njctl+1,:) ), ' v : ', SUM( avmv(1:nictl+1,1:njctl+1,:) ) |
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| 481 | ENDIF |
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| 482 | |
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| 483 | |
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[3] | 484 | END SUBROUTINE zdf_tke |
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