[3497] | 1 | MODULE ldfdyn_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_dynldf_smag && defined key_dynldf_c3d |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | !! 'key_dynldf_smag' and smagorinsky diffusivity |
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| 9 | !! 'key_dynldf_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 ldfdyn_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_dyn_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 | !! *** ldfdyn_smag.F90 *** |
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| 49 | !!---------------------------------------------------------------------- |
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| 50 | |
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| 51 | !!---------------------------------------------------------------------- |
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| 52 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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| 53 | !! $Id: ldfdyn_c3d.h90 1581 2009-08-05 14:53:12Z smasson $ |
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| 54 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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| 55 | !!---------------------------------------------------------------------- |
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| 56 | |
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| 57 | !!---------------------------------------------------------------------- |
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| 58 | !! 'key_dynldf_smag' 3D lateral eddy viscosity coefficients |
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| 59 | !!---------------------------------------------------------------------- |
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| 60 | |
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| 61 | SUBROUTINE ldf_dyn_smag( kt ) |
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| 62 | !!---------------------------------------------------------------------- |
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| 63 | !! *** ROUTINE ldf_dyn_smag *** |
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| 64 | !! |
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| 65 | !! ** Purpose : initializations of the horizontal ocean physics |
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| 66 | !! |
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| 67 | !! ** Method : 3D eddy viscosity coef. |
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| 68 | !! M.Griffies, R.Hallberg AMS, 2000 |
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| 69 | !! for laplacian: |
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| 70 | !! Asmag=(C/pi)^2*dx*dy sqrt(D^2), C=3-4 |
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| 71 | !! for bilaplacian: |
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| 72 | !! Bsmag=Asmag*dx*dy/8 |
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| 73 | !! D^2=(du/dx-dv/dy)^2+(dv/dx+du/dy)^2 for Cartesian coordinates |
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| 74 | !! in general case du/dx ==> e2 d(u/e2)/dx; du/dy ==> e1 d(u/e1)/dy; |
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| 75 | !! dv/dx ==> e2 d(v/e2)/dx; dv/dy ==> e1 d(v/e1)/dy |
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| 76 | !! |
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| 77 | !! laplacian operator : ahm1, ahm2 defined at T- and F-points |
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| 78 | !! ahm3, ahm4 never used |
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| 79 | !! bilaplacian operator : ahm1, ahm2 never used |
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| 80 | !! : ahm3, ahm4 defined at U- and V-points |
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| 81 | !! explanation of the default is missingi |
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| 82 | !! last modified : Maria Luneva, September 2011 |
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| 83 | !!---------------------------------------------------------------------- |
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| 84 | !! * Modules used |
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| 85 | !! ahm0 here is a background viscosity |
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| 86 | |
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| 87 | !! * Arguments |
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| 88 | |
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| 89 | !! * local variables |
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| 90 | |
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| 91 | INTEGER :: kt ! timestep |
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| 92 | |
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| 93 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 94 | REAL (wp):: zdeltat,zdeltaf,zdeltau,zdeltav ! temporary scalars |
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| 95 | REAL (wp), POINTER, DIMENSION (:,:) :: zux, zuy , zvx ,zvy, zue1, zue2, zve1, zve2 |
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| 96 | REAL (wp):: zcmsmag_1, zcmsmag_2 , zcmsh |
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| 97 | |
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| 98 | |
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| 99 | !!---------------------------------------------------------------------- |
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| 100 | |
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| 101 | CALL wrk_alloc( jpi,jpj,zux,zuy,zvx,zvy ) |
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| 102 | CALL wrk_alloc( jpi,jpj,zue1,zue2,zve1,zve2 ) |
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| 103 | |
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| 104 | |
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| 105 | IF( kt == nit000 ) THEN |
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| 106 | |
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| 107 | |
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| 108 | IF(lwp) WRITE(numout,*) |
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| 109 | IF(lwp) WRITE(numout,*) 'ldf_dyn_smag : 3D lateral eddy viscosity coefficient' |
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| 110 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 111 | |
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| 112 | ENDIF |
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| 113 | |
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| 114 | zcmsmag_1 = rn_cmsmag_1 |
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| 115 | zcmsmag_2 = rn_cmsmag_2 |
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| 116 | zcmsh = rn_cmsh |
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| 117 | |
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| 118 | |
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| 119 | |
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| 120 | |
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| 121 | ! Set ahm1 and ahm2 ( T- and F- points) (used for laplacian operators |
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| 122 | ! ================= whatever its orientation is) |
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| 123 | IF( ln_dynldf_lap ) THEN |
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| 124 | ! define ahm1 and ahm2 at the right grid point position |
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| 125 | ! (USER: modify ahm1 and ahm2 following your desiderata) |
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| 126 | |
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| 127 | DO jk=1,jpk |
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| 128 | zue2(:,:)=un(:,:,jk)/e2u(:,:) |
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| 129 | zve1(:,:)=vn(:,:,jk)/e1v(:,:) |
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| 130 | zue1(:,:)=un(:,:,jk)/e1u(:,:) |
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| 131 | zve2(:,:)=vn(:,:,jk)/e2v(:,:) |
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| 132 | |
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| 133 | |
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| 134 | DO jj=2,jpj |
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| 135 | DO ji=2,jpi |
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| 136 | zux(ji,jj)=(zue2(ji,jj)-zue2(ji-1,jj))/e1t(ji,jj)*e2t(ji,jj)*tmask(ji,jj,jk) * zcmsh |
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| 137 | zvy(ji,jj)=(zve1(ji,jj)-zve1(ji,jj-1))/e2t(ji,jj)*e1t(ji,jj)*tmask(ji,jj,jk) * zcmsh |
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| 138 | ENDDO |
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| 139 | ENDDO |
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| 140 | |
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| 141 | DO jj=1,jpjm1 |
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| 142 | DO ji=1,jpim1 |
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| 143 | zuy(ji,jj)=(zue1(ji,jj+1)-zue1(ji,jj))/e2f(ji,jj)*e1f(ji,jj)*fmask(ji,jj,jk) |
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| 144 | zvx(ji,jj)=(zve2(ji+1,jj)-zve2(ji,jj))/e1f(ji,jj)*e2f(ji,jj)*fmask(ji,jj,jk) |
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| 145 | ENDDO |
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| 146 | ENDDO |
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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 | |
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| 151 | zdeltat=2._wp /(e1t(ji,jj)**(-2)+e2t(ji,jj)**(-2)) |
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| 152 | zdeltaf=2._wp /(e1f(ji,jj)**(-2)+e2f(ji,jj)**(-2)) |
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| 153 | ahm1(ji,jj,jk)=(zcmsmag_1/rpi)**2*zdeltat* & |
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| 154 | sqrt( (zux(ji,jj)-zvy(ji,jj))**2+ & |
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| 155 | 0.0625_wp*(zuy(ji,jj)+zuy(ji,jj-1)+zuy(ji-1,jj)+zuy(ji-1,jj-1)+ & |
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| 156 | zvx(ji,jj)+zvx(ji,jj-1)+zvx(ji-1,jj)+zvx(ji-1,jj-1))**2) |
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| 157 | |
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| 158 | ahm2(ji,jj,jk)=(zcmsmag_1/rpi)**2*zdeltaf* & |
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| 159 | sqrt( (zuy(ji,jj)+zvx(ji,jj))**2+ & |
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| 160 | 0.0625_wp*(zux(ji,jj)+zux(ji,jj+1)+zux(ji+1,jj)+zux(ji+1,jj+1)- & |
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| 161 | zvy(ji,jj)-zvy(ji,jj+1)-zvy(ji+1,jj)-zvy(ji+1,jj+1))**2) |
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| 162 | |
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| 163 | ahm1(ji,jj,jk)=MAX(ahm1(ji,jj,jk),rn_ahm_0_lap) |
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| 164 | ahm2(ji,jj,jk)=MAX(ahm2(ji,jj,jk),rn_ahm_0_lap) |
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| 165 | |
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| 166 | ! stability criteria or upper limit set from namelist |
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| 167 | ahm1(ji,jj,jk)=MIN(ahm1(ji,jj,jk),zdeltat / (16_wp*rdt),rn_ahm_m_lap) |
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| 168 | ahm2(ji,jj,jk)=MIN(ahm2(ji,jj,jk),zdeltaf / (16_wp*rdt),rn_ahm_m_lap) |
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| 169 | |
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| 170 | ENDDO |
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| 171 | ENDDO |
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| 172 | |
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| 173 | ENDDO ! jpk |
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| 174 | ahm1(:,:,jpk) = ahm1(:,:,jpkm1) |
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| 175 | ahm2(:,:,jpk) = ahm2(:,:,jpkm1) |
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| 176 | IF(lwp.and.kt==nit000) WRITE(numout,'(36x," ahm ", 7x)') |
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| 177 | DO jk = 1, jpk |
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| 178 | |
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| 179 | IF(lwp.and.kt==nit000) WRITE(numout,'(30x,E10.2,8x,i3)') ahm1(jpi/2,jpj/2,jk), jk |
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| 180 | END DO |
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| 181 | CALL lbc_lnk( ahm1, 'T', 1. ) ! Lateral boundary conditions on ( ahtt ) |
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| 182 | CALL lbc_lnk( ahm2, 'F', 1. ) ! Lateral boundary conditions on ( ahtt ) |
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| 183 | |
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| 184 | ENDIF ! ln_dynldf_lap |
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| 185 | |
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| 186 | |
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| 187 | |
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| 188 | ! ahm3 and ahm4 at U- and V-points (used for bilaplacian operator |
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| 189 | ! ================================ whatever its orientation is) |
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| 190 | ! Here: ahm is proportional to the cube of the maximum of the grid spacing |
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| 191 | ! in the to horizontal direction |
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| 192 | |
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| 193 | IF( ln_dynldf_bilap ) THEN |
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| 194 | DO jk=1,jpk |
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| 195 | zue2(:,:) = un(:,:,jk)/e2u(:,:) |
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| 196 | zve1(:,:) = vn(:,:,jk)/e1v(:,:) |
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| 197 | zue1(:,:) = un(:,:,jk)/e1u(:,:) |
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| 198 | zve2(:,:) = vn(:,:,jk)/e2v(:,:) |
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| 199 | |
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| 200 | |
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| 201 | DO jj=2,jpj |
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| 202 | DO ji=2,jpi |
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| 203 | zux(ji,jj) = (zue2(ji,jj)-zue2(ji-1,jj))/e1t(ji,jj)*e2t(ji,jj)*tmask(ji,jj,jk) |
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| 204 | zvy(ji,jj) = (zve1(ji,jj)-zve1(ji,jj-1))/e2t(ji,jj)*e1t(ji,jj)*tmask(ji,jj,jk) |
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| 205 | ENDDO |
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| 206 | ENDDO |
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| 207 | |
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| 208 | DO jj=1,jpjm1 |
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| 209 | DO ji=1,jpim1 |
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| 210 | zuy(ji,jj) = (zue1(ji,jj+1)-zue1(ji,jj))/e2f(ji,jj)*e1f(ji,jj)*fmask(ji,jj,jk) |
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| 211 | zvx(ji,jj) = (zve2(ji+1,jj)-zve2(ji,jj))/e1f(ji,jj)*e2f(ji,jj)*fmask(ji,jj,jk) |
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| 212 | ENDDO |
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| 213 | ENDDO |
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| 214 | |
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| 215 | |
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| 216 | DO jj=2,jpjm1 |
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| 217 | DO ji=2,jpim1 |
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| 218 | zdeltau = 2._wp/(e1u(ji,jj)**(-2)+e2u(ji,jj)**(-2)) |
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| 219 | zdeltav = 2._wp/(e1v(ji,jj)**(-2)+e2v(ji,jj)**(-2)) |
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| 220 | |
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| 221 | ahm3(ji,jj,jk) = -(zcmsmag_2/rpi)**2/8.0_wp*zdeltau**2* & |
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| 222 | |
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| 223 | sqrt(0.25_wp*(zux(ji,jj)+zux(ji+1,jj)-zvy(ji,jj)-zvy(ji+1,jj))**2+ & |
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| 224 | 0.25_wp*(zuy(ji,jj)+zuy(ji,jj-1)+zvx(ji,jj)+zvx(ji,jj-1))**2) |
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| 225 | |
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| 226 | ahm4(ji,jj,jk) = -(zcmsmag_2/rpi)**2/8.0_wp*zdeltav**2* & |
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| 227 | |
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| 228 | sqrt(0.25_wp*(zux(ji,jj)+zux(ji,jj+1)-zvy(ji,jj)-zvy(ji,jj+1))**2+ & |
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| 229 | 0.25_wp*(zuy(ji,jj)+zuy(ji-1,jj)+zvx(ji-1,jj)+zvx(ji,jj))**2) |
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| 230 | |
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| 231 | ahm3(ji,jj,jk) = MIN (rn_ahm_0_blp , ahm3(ji,jj,jk) ) |
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| 232 | ahm4(ji,jj,jk) = MIN (rn_ahm_0_blp , ahm4(ji,jj,jk) ) |
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| 233 | |
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| 234 | ! stability criteria or upper limit set in namelist |
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| 235 | |
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| 236 | ahm3(ji,jj,jk) = MAX( ahm3(ji,jj,jk),-zdeltau**2/( 128._wp*rdt ),rn_ahm_m_blp ) |
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| 237 | ahm4(ji,jj,jk) = MAX( ahm4(ji,jj,jk),-zdeltav**2/( 128._wp*rdt ),rn_ahm_m_blp ) |
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| 238 | |
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| 239 | |
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| 240 | ENDDO |
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| 241 | ENDDO |
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| 242 | |
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| 243 | ENDDO |
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| 244 | ahm3(:,:,jpk) = ahm3(:,:,jpkm1) |
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| 245 | ahm4(:,:,jpk) = ahm4(:,:,jpkm1) |
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| 246 | |
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| 247 | DO jk = 1, jpk |
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| 248 | IF( kt == nit000 ) THEN |
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| 249 | |
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| 250 | IF(lwp) WRITE(numout,'(30x,E10.2,8x,i3)') ahm3(jpi/2,jpj/2,jk), jk |
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| 251 | ENDIF |
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| 252 | END DO |
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| 253 | CALL lbc_lnk( ahm3, 'U', 1. ) ! Lateral boundary conditions |
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| 254 | CALL lbc_lnk( ahm4, 'V', 1. ) |
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| 255 | ENDIF |
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| 256 | |
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| 257 | CALL wrk_dealloc( jpi,jpj,zux,zuy,zvx,zvy ) |
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| 258 | CALL wrk_dealloc( jpi,jpj,zue1,zue2,zve1,zve2 ) |
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| 259 | ! zumax = MAXVAL( ABS( ahm3(:,:,:) ) ) ! slower than the following loop on NEC SX5 |
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| 260 | zdeltat = 0._wp |
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| 261 | If(ln_dynldf_lap)THEN |
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| 262 | DO jk = 1, jpk |
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| 263 | DO jj = 1, jpj |
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| 264 | DO ji = 1, jpi |
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| 265 | zdeltat = MAX(zdeltat,ABS(ahm1(ji,jj,jk)),ABS(ahm2(ji,jj,jk)) ) |
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| 266 | END DO |
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| 267 | END DO |
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| 268 | END DO |
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| 269 | IF( lk_mpp ) CALL mpp_max( zdeltat ) ! max over the global domain |
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| 270 | ! |
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| 271 | IF( MOD( kt, nwrite ) == 1 .AND. lwp ) WRITE(numout,*) ' ==>> time-step= ',kt,'dynlap: abs(ahm) max: ', zdeltat |
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| 272 | ENDIF |
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| 273 | If(ln_dynldf_bilap)THEN |
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| 274 | zdeltat = 0._wp |
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| 275 | DO jk = 1, jpk |
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| 276 | DO jj = 1, jpj |
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| 277 | DO ji = 1, jpi |
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| 278 | zdeltat = MAX(zdeltat,ABS(ahm3(ji,jj,jk)),ABS(ahm3(ji,jj,jk)) ) |
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| 279 | END DO |
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| 280 | END DO |
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| 281 | END DO |
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| 282 | IF( lk_mpp ) CALL mpp_max( zdeltat ) ! max over the global domain |
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| 283 | ! |
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| 284 | IF( MOD( kt, nwrite ) == 1 .AND. lwp ) WRITE(numout,*) ' ==>> time-step= ',kt,'dyn_bilap abs(ahm) max: ', zdeltat |
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| 285 | ! |
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| 286 | ENDIF |
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| 287 | ! |
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| 288 | |
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| 289 | END SUBROUTINE ldf_dyn_smag |
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| 290 | #else |
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| 291 | !!---------------------------------------------------------------------- |
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| 292 | !! Default option Dummy module |
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| 293 | !!---------------------------------------------------------------------- |
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| 294 | CONTAINS |
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| 295 | SUBROUTINE ldf_dyn_smag( kt ) ! Empty routine |
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| 296 | WRITE(*,*) 'ldf_dyn_smag: You should not have seen this print! error? check keys ldf:c3d+smag', kt |
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| 297 | END SUBROUTINE ldf_dyn_smag |
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| 298 | #endif |
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| 299 | |
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| 300 | END MODULE ldfdyn_smag |
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| 301 | |
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