[3497] | 1 | MODULE ldftra_smag |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE ldftrasmag *** |
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| 4 | !! Ocean physics: variable eddy induced velocity coefficients |
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| 5 | !!====================================================================== |
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| 6 | #if defined key_traldf_smag && defined key_traldf_c3d |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | !! 'key_traldf_smag' and smagorinsky diffusivity |
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| 9 | !! 'key_traldf_c3d' 3D tracer lateral mixing coef. |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! ldf_eiv : compute the eddy induced velocity coefficients |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | !! * Modules used |
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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 sbc_oce ! surface boundary condition: ocean |
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| 17 | USE sbcrnf ! river runoffs |
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| 18 | USE ldftra_oce ! ocean tracer lateral physics |
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| 19 | USE phycst ! physical constants |
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| 20 | USE ldfslp ! iso-neutral slopes |
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| 21 | USE in_out_manager ! I/O manager |
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| 22 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 23 | USE prtctl ! Print control |
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| 24 | USE iom |
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| 25 | USE wrk_nemo |
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| 26 | IMPLICIT NONE |
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| 27 | PRIVATE |
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| 28 | |
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| 29 | !! * Routine accessibility |
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| 30 | PUBLIC ldf_tra_smag ! routine called by step.F90 |
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| 31 | !!---------------------------------------------------------------------- |
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| 32 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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| 33 | !! $Id: ldf_tra_smag.F90 1482 2010-06-13 15:28:06Z $ |
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| 34 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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| 35 | !!---------------------------------------------------------------------- |
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| 36 | !! * Substitutions |
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| 37 | # include "domzgr_substitute.h90" |
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| 38 | # include "vectopt_loop_substitute.h90" |
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| 39 | !!---------------------------------------------------------------------- |
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| 40 | |
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| 41 | CONTAINS |
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| 42 | |
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| 43 | |
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| 44 | |
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| 45 | |
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| 46 | |
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| 47 | !!---------------------------------------------------------------------- |
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| 48 | !! *** ldf_tra_smag.F90 *** |
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| 49 | !!---------------------------------------------------------------------- |
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| 50 | |
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| 51 | |
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| 52 | SUBROUTINE ldf_tra_smag( kt ) |
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| 53 | !!---------------------------------------------------------------------- |
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| 54 | !!---------------------------------------------------------------------- |
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| 55 | !! *** ROUTINE ldf_tra_smag *** |
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| 56 | !! |
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| 57 | !! ** Purpose : initializations of the horizontal ocean physics |
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| 58 | !! |
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| 59 | !! ** Method : 3D eddy viscosity coef. |
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| 60 | !! M.Griffies, R.Hallberg AMS, 2000 |
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| 61 | !! for laplacian: |
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| 62 | !! Asmag=(C/pi)^2*dx*dy sqrt(D^2), C=1 for tracers, C=3-4 for viscosity |
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| 63 | !! D^2= rm_smsh*(du/dx-dv/dy)^2+(dv/dx+du/dy)^2 for Cartesian coordinates |
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| 64 | !! IF rm_smsh = 0 , only shear is used, recommended for tidal flows |
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| 65 | !! in general case du/dx ==> e2 d(u/e2)/dx; du/dy ==> e1 d(u/e1)/dy; |
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| 66 | !! dv/dx ==> e2 d(v/e2)/dx; dv/dy ==> e1 d(v/e1)/dy |
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| 67 | !! for bilaplacian: now this option is deleted as unstable or non-conservative |
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| 68 | !! - delta{Bsmag (delta(T)} = -Bsmag* delta{delta(T)} - delta(Bsmag)*delta( T ) |
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| 69 | !! second term is of arbitrary sign on the edge of fronts and can induce instability |
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| 70 | !! Bsmag=Asmag*dx*dy/8 |
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| 71 | !! |
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| 72 | !! laplacian operator : ahm1, ahm2 defined at T- and F-points |
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| 73 | !! ahm3, ahm4 never used |
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| 74 | !! bilaplacian operator : ahm1, ahm2 never used |
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| 75 | !! : ahm3, ahm4 defined at U- and V-points |
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| 76 | !! ??? explanation of the default is missing |
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| 77 | !! last modified : Maria Luneva, October 2012 |
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| 78 | !!---------------------------------------------------------------------- |
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| 79 | !! |
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| 80 | !!---------------------------------------------------------------------- |
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| 81 | !! * Modules used |
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| 82 | USE ioipsl |
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| 83 | REAL ( wp), POINTER , DIMENSION (:,:) :: zux, zvx , zuy , zvy |
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| 84 | REAL ( wp), POINTER , DIMENSION (:,:) :: zue1, zue2 , zve1 , zve2 |
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| 85 | INTEGER, INTENT( in ) :: kt ! ocean time-step inedx |
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| 86 | !! * Arguments |
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| 87 | INTEGER :: ji,jj,jk |
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| 88 | |
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| 89 | REAL (wp) :: zdeltau, zdeltav, zhsmag ,zsmsh ! temporary scalars |
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| 90 | |
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| 91 | CALL wrk_alloc (jpi,jpj,zux, zvx , zuy , zvy ) |
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| 92 | CALL wrk_alloc (jpi,jpj,zue1, zue2 , zve1 , zve2 ) |
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| 93 | !!---------------------------------------------------------------------- |
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| 94 | IF( kt == nit000 ) THEN |
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| 95 | IF(lwp) WRITE(numout,*) |
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| 96 | IF(lwp) WRITE(numout,*) ' ldf_tra_smag : 3D eddy smagorinsky diffusivity ' |
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| 97 | IF(lwp) WRITE(numout,*) ' ~~~~~~~~~~~ -- ' |
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| 98 | IF(lwp) WRITE(numout,*) ' Coefficients are computed' |
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| 99 | IF(lwp) WRITE(numout,*) |
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| 100 | IF(lwp) WRITE(numout,*) |
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| 101 | ENDIF |
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| 102 | |
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| 103 | zhsmag = rn_chsmag |
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| 104 | zsmsh = rn_smsh |
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| 105 | zux(:,:)=0._wp ; zuy(:,:)=0._wp ; zvx(:,:)=0._wp ; zvy(:,:)=0._wp |
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| 106 | |
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| 107 | ! ------------------- |
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| 108 | ahtt(:,:,:) = rn_aht_0 |
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| 109 | IF( ln_traldf_bilap ) THEN |
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| 110 | IF( lwp .AND. kt == nit000) WRITE(numout,* )'ldf_tra_smag :no bilaplacian Smagorinsky diffusivity' |
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| 111 | IF( lwp .AND. kt == nit000) WRITE(numout,* )'ldf_tra_smag :bilaplacian diffusivity set to constant' |
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| 112 | ENDIF |
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| 113 | |
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| 114 | |
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| 115 | |
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| 116 | ! harmonic operator (U-, V-, W-points) |
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| 117 | ! ----------------- |
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| 118 | |
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| 119 | ahtu(:,:,:) = rn_aht_0 ! set ahtu , ahtv at u- and v-points, |
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| 120 | ahtv(:,:,:) = rn_aht_0 ! and ahtw at w-point |
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| 121 | ahtw(:,:,:) = rn_aht_0 ! (here example: no space variation) |
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| 122 | |
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| 123 | IF( ln_traldf_lap ) THEN |
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| 124 | |
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| 125 | DO jk=1,jpk |
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| 126 | |
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| 127 | zue2(:,:)=un(:,:,jk)/e2u(:,:) |
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| 128 | zve1(:,:)=vn(:,:,jk)/e1v(:,:) |
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| 129 | zue1(:,:)=un(:,:,jk)/e1u(:,:) |
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| 130 | zve2(:,:)=vn(:,:,jk)/e2v(:,:) |
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| 131 | |
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| 132 | |
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| 133 | DO jj=2,jpj |
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| 134 | DO ji=2,jpi |
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| 135 | zux(ji,jj)=(zue2(ji,jj)-zue2(ji-1,jj))/e1t(ji,jj)*e2t(ji,jj)*tmask(ji,jj,jk) * zsmsh |
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| 136 | zvy(ji,jj)=(zve1(ji,jj)-zve1(ji,jj-1))/e2t(ji,jj)*e1t(ji,jj)*tmask(ji,jj,jk) * zsmsh |
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| 137 | ENDDO |
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| 138 | ENDDO |
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| 139 | |
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| 140 | DO jj=1,jpjm1 |
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| 141 | DO ji=1,jpim1 |
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| 142 | zuy(ji,jj)=(zue1(ji,jj+1)-zue1(ji,jj))/e2f(ji,jj)*e1f(ji,jj)*fmask(ji,jj,jk) |
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| 143 | zvx(ji,jj)=(zve2(ji+1,jj)-zve2(ji,jj))/e1f(ji,jj)*e2f(ji,jj)*fmask(ji,jj,jk) |
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| 144 | ENDDO |
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| 145 | ENDDO |
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| 146 | |
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| 147 | |
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| 148 | DO jj=2,jpjm1 |
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| 149 | DO ji=2,jpim1 |
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| 150 | zdeltau=2._wp/( e1u(ji,jj)**(-2)+e2u(ji,jj)**(-2) ) |
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| 151 | zdeltav=2._wp/( e1v(ji,jj)**(-2)+e2v(ji,jj)**(-2) ) |
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| 152 | |
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| 153 | ahtu(ji,jj,jk)=MAX( rn_aht_0 , (zhsmag/rpi)**2*zdeltau* & |
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| 154 | SQRT(0.25_wp*( zux(ji,jj)+zux(ji+1,jj)-zvy(ji,jj)-zvy(ji+1,jj) )**2+ & |
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| 155 | 0.25_wp*( zuy(ji,jj)+zuy(ji,jj-1)+zvx(ji,jj)+zvx(ji,jj-1) )**2) ) |
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| 156 | |
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| 157 | ahtv(ji,jj,jk)=MAX( rn_aht_0 , (zhsmag/rpi)**2*zdeltav* & |
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| 158 | SQRT(0.25_wp*( zux(ji,jj)+zux(ji,jj+1)-zvy(ji,jj)-zvy(ji,jj+1) )**2+ & |
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| 159 | 0.25_wp*( zuy(ji,jj)+zuy(ji-1,jj)+zvx(ji-1,jj)+zvx(ji,jj) )**2) ) |
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| 160 | |
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| 161 | |
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| 162 | !!! stability criteria: aht<delta**2/(4*dt) dt=2*rdt , positiveness require aht<delta**2/(8*dt) |
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| 163 | ahtu(ji,jj,jk)=MIN(ahtu(ji,jj,jk),zdeltau/(16*rdt) ,rn_aht_m) |
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| 164 | ahtv(ji,jj,jk)=MIN(ahtv(ji,jj,jk),zdeltav/(16*rdt) ,rn_aht_m) |
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| 165 | ! so... |
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| 166 | |
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| 167 | |
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| 168 | ENDDO |
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| 169 | ENDDO |
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| 170 | ENDDO |
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| 171 | ENDIF |
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| 172 | ahtu(:,:,jpk) = ahtu(:,:,jpkm1) |
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| 173 | ahtv(:,:,jpk) = ahtv(:,:,jpkm1) |
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| 174 | CALL lbc_lnk( ahtu, 'U', 1. ) ! Lateral boundary conditions |
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| 175 | CALL lbc_lnk( ahtv, 'V', 1. ) |
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| 176 | |
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| 177 | IF( kt == nit000 ) THEN |
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| 178 | |
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| 179 | IF(lwp ) THEN ! Control print |
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| 180 | WRITE(numout,*) |
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| 181 | WRITE(numout,*) 'inildf: ahtu at k = 1' |
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| 182 | CALL prihre( ahtu(:,:,1), jpi, jpj, 1, jpi, 1, & |
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| 183 | & 1, jpj, 1, 1.e-1, numout ) |
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| 184 | WRITE(numout,*) |
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| 185 | WRITE(numout,*) 'inildf: ahtv at k = 1' |
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| 186 | CALL prihre( ahtv(:,:,1), jpi, jpj, 1, jpi, 1, & |
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| 187 | & 1, jpj, 1, 1.e-1, numout ) |
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| 188 | WRITE(numout,*) |
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| 189 | WRITE(numout,*) 'inildf: ahtw at k = 1' |
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| 190 | CALL prihre( ahtw(:,:,1), jpi, jpj, 1, jpi, 1, & |
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| 191 | & 1, jpj, 1, 1.e-1, numout ) |
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| 192 | ENDIF |
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| 193 | ENDIF |
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| 194 | |
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| 195 | CALL wrk_dealloc ( jpi,jpj,zux, zvx , zuy , zvy ) |
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| 196 | CALL wrk_dealloc ( jpi,jpj,zue1, zue2 , zve1 , zve2 ) |
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| 197 | |
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| 198 | |
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| 199 | END SUBROUTINE ldf_tra_smag |
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| 200 | #else |
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| 201 | !!---------------------------------------------------------------------- |
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| 202 | !! Default option Dummy module |
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| 203 | !!---------------------------------------------------------------------- |
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| 204 | CONTAINS |
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| 205 | SUBROUTINE ldf_tra_smag( kt ) ! Empty routine |
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| 206 | WRITE(*,*) 'ldf_dyn_smag: You should not have seen this print! error? check keys ldf:c3d+smag', kt |
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| 207 | END SUBROUTINE ldf_tra_smag |
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| 208 | #endif |
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| 209 | |
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| 210 | END MODULE ldftra_smag |
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