[3] | 1 | MODULE dynkeg |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE dynkeg *** |
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| 4 | !! Ocean dynamics: kinetic energy gradient trend |
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| 5 | !!====================================================================== |
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[5321] | 6 | !! History : 1.0 ! 1987-09 (P. Andrich, M.-A. Foujols) Original code |
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| 7 | !! 7.0 ! 1997-05 (G. Madec) Split dynber into dynkeg and dynhpg |
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| 8 | !! NEMO 1.0 ! 2002-07 (G. Madec) F90: Free form and module |
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[5328] | 9 | !! 3.6 ! 2015-05 (N. Ducousso, G. Madec) add Hollingsworth scheme as an option |
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[503] | 10 | !!---------------------------------------------------------------------- |
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[5328] | 11 | |
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[3] | 12 | !!---------------------------------------------------------------------- |
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| 13 | !! dyn_keg : update the momentum trend with the horizontal tke |
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| 14 | !!---------------------------------------------------------------------- |
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| 15 | USE oce ! ocean dynamics and tracers |
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| 16 | USE dom_oce ! ocean space and time domain |
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[4990] | 17 | USE trd_oce ! trends: ocean variables |
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| 18 | USE trddyn ! trend manager: dynamics |
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| 19 | ! |
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[2715] | 20 | USE in_out_manager ! I/O manager |
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[5321] | 21 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[2715] | 22 | USE lib_mpp ! MPP library |
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[258] | 23 | USE prtctl ! Print control |
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[3294] | 24 | USE timing ! Timing |
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[7646] | 25 | USE bdy_oce ! ocean open boundary conditions |
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[3] | 26 | |
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| 27 | IMPLICIT NONE |
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| 28 | PRIVATE |
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| 29 | |
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[503] | 30 | PUBLIC dyn_keg ! routine called by step module |
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[5328] | 31 | |
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[5321] | 32 | INTEGER, PARAMETER, PUBLIC :: nkeg_C2 = 0 !: 2nd order centered scheme (standard scheme) |
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| 33 | INTEGER, PARAMETER, PUBLIC :: nkeg_HW = 1 !: Hollingsworth et al., QJRMS, 1983 |
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| 34 | ! |
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| 35 | REAL(wp) :: r1_48 = 1._wp / 48._wp !: =1/(4*2*6) |
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[5328] | 36 | |
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[3] | 37 | !! * Substitutions |
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[12377] | 38 | # include "do_loop_substitute.h90" |
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[503] | 39 | !!---------------------------------------------------------------------- |
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[9598] | 40 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[5328] | 41 | !! $Id$ |
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[10068] | 42 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[503] | 43 | !!---------------------------------------------------------------------- |
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[3] | 44 | CONTAINS |
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| 45 | |
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[12377] | 46 | SUBROUTINE dyn_keg( kt, kscheme, Kmm, puu, pvv, Krhs ) |
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[3] | 47 | !!---------------------------------------------------------------------- |
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| 48 | !! *** ROUTINE dyn_keg *** |
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| 49 | !! |
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| 50 | !! ** Purpose : Compute the now momentum trend due to the horizontal |
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[5328] | 51 | !! gradient of the horizontal kinetic energy and add it to the |
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[3] | 52 | !! general momentum trend. |
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| 53 | !! |
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[5328] | 54 | !! ** Method : * kscheme = nkeg_C2 : 2nd order centered scheme that |
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| 55 | !! conserve kinetic energy. Compute the now horizontal kinetic energy |
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[3] | 56 | !! zhke = 1/2 [ mi-1( un^2 ) + mj-1( vn^2 ) ] |
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[5321] | 57 | !! * kscheme = nkeg_HW : Hollingsworth correction following |
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| 58 | !! Arakawa (2001). The now horizontal kinetic energy is given by: |
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[12377] | 59 | !! zhke = 1/6 [ mi-1( 2 * un^2 + ((u(j+1)+u(j-1))/2)^2 ) |
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| 60 | !! + mj-1( 2 * vn^2 + ((v(i+1)+v(i-1))/2)^2 ) ] |
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[5328] | 61 | !! |
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[3] | 62 | !! Take its horizontal gradient and add it to the general momentum |
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[12377] | 63 | !! trend. |
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| 64 | !! u(rhs) = u(rhs) - 1/e1u di[ zhke ] |
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| 65 | !! v(rhs) = v(rhs) - 1/e2v dj[ zhke ] |
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[3] | 66 | !! |
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[12377] | 67 | !! ** Action : - Update the (puu(:,:,:,Krhs), pvv(:,:,:,Krhs)) with the hor. ke gradient trend |
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[4990] | 68 | !! - send this trends to trd_dyn (l_trddyn=T) for post-processing |
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[5321] | 69 | !! |
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| 70 | !! ** References : Arakawa, A., International Geophysics 2001. |
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| 71 | !! Hollingsworth et al., Quart. J. Roy. Meteor. Soc., 1983. |
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[503] | 72 | !!---------------------------------------------------------------------- |
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[12377] | 73 | INTEGER , INTENT( in ) :: kt ! ocean time-step index |
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| 74 | INTEGER , INTENT( in ) :: kscheme ! =0/1 type of KEG scheme |
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| 75 | INTEGER , INTENT( in ) :: Kmm, Krhs ! ocean time level indices |
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| 76 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpt), INTENT(inout) :: puu, pvv ! ocean velocities and RHS of momentum equation |
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[4990] | 77 | ! |
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[11536] | 78 | INTEGER :: ji, jj, jk ! dummy loop indices |
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[10996] | 79 | REAL(wp) :: zu, zv ! local scalars |
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[14834] | 80 | REAL(wp), DIMENSION(A2D(nn_hls),jpk) :: zhke |
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[9019] | 81 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: ztrdu, ztrdv |
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[3] | 82 | !!---------------------------------------------------------------------- |
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[3294] | 83 | ! |
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[9019] | 84 | IF( ln_timing ) CALL timing_start('dyn_keg') |
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[3294] | 85 | ! |
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[14834] | 86 | IF( .NOT. l_istiled .OR. ntile == 1 ) THEN ! Do only on the first tile |
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| 87 | IF( kt == nit000 ) THEN |
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| 88 | IF(lwp) WRITE(numout,*) |
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| 89 | IF(lwp) WRITE(numout,*) 'dyn_keg : kinetic energy gradient trend, scheme number=', kscheme |
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| 90 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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| 91 | ENDIF |
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[3] | 92 | ENDIF |
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[216] | 93 | |
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[9019] | 94 | IF( l_trddyn ) THEN ! Save the input trends |
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| 95 | ALLOCATE( ztrdu(jpi,jpj,jpk) , ztrdv(jpi,jpj,jpk) ) |
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[12377] | 96 | ztrdu(:,:,:) = puu(:,:,:,Krhs) |
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| 97 | ztrdv(:,:,:) = pvv(:,:,:,Krhs) |
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[216] | 98 | ENDIF |
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[5328] | 99 | |
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[7753] | 100 | zhke(:,:,jpk) = 0._wp |
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[7646] | 101 | |
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[5328] | 102 | SELECT CASE ( kscheme ) !== Horizontal kinetic energy at T-point ==! |
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| 103 | ! |
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| 104 | CASE ( nkeg_C2 ) !-- Standard scheme --! |
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[13295] | 105 | DO_3D( 0, 1, 0, 1, 1, jpkm1 ) |
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[12377] | 106 | zu = puu(ji-1,jj ,jk,Kmm) * puu(ji-1,jj ,jk,Kmm) & |
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| 107 | & + puu(ji ,jj ,jk,Kmm) * puu(ji ,jj ,jk,Kmm) |
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| 108 | zv = pvv(ji ,jj-1,jk,Kmm) * pvv(ji ,jj-1,jk,Kmm) & |
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| 109 | & + pvv(ji ,jj ,jk,Kmm) * pvv(ji ,jj ,jk,Kmm) |
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| 110 | zhke(ji,jj,jk) = 0.25_wp * ( zv + zu ) |
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| 111 | END_3D |
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[5328] | 112 | CASE ( nkeg_HW ) !-- Hollingsworth scheme --! |
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[14834] | 113 | DO_3D( 0, nn_hls-1, 0, nn_hls-1, 1, jpkm1 ) |
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[14820] | 114 | ! round brackets added to fix the order of floating point operations |
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| 115 | ! needed to ensure halo 1 - halo 2 compatibility |
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[12377] | 116 | zu = 8._wp * ( puu(ji-1,jj ,jk,Kmm) * puu(ji-1,jj ,jk,Kmm) & |
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| 117 | & + puu(ji ,jj ,jk,Kmm) * puu(ji ,jj ,jk,Kmm) ) & |
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[14820] | 118 | & + ( ( puu(ji-1,jj-1,jk,Kmm) + puu(ji-1,jj+1,jk,Kmm) ) * ( puu(ji-1,jj-1,jk,Kmm) + puu(ji-1,jj+1,jk,Kmm) ) & |
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| 119 | & + ( puu(ji ,jj-1,jk,Kmm) + puu(ji ,jj+1,jk,Kmm) ) * ( puu(ji ,jj-1,jk,Kmm) + puu(ji ,jj+1,jk,Kmm) ) & |
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| 120 | & ) ! bracket for halo 1 - halo 2 compatibility |
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[12377] | 121 | ! |
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| 122 | zv = 8._wp * ( pvv(ji ,jj-1,jk,Kmm) * pvv(ji ,jj-1,jk,Kmm) & |
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| 123 | & + pvv(ji ,jj ,jk,Kmm) * pvv(ji ,jj ,jk,Kmm) ) & |
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[14820] | 124 | & + ( ( pvv(ji-1,jj-1,jk,Kmm) + pvv(ji+1,jj-1,jk,Kmm) ) * ( pvv(ji-1,jj-1,jk,Kmm) + pvv(ji+1,jj-1,jk,Kmm) ) & |
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[14834] | 125 | & + ( pvv(ji-1,jj ,jk,Kmm) + pvv(ji+1,jj ,jk,Kmm) ) * ( pvv(ji-1,jj ,jk,Kmm) + pvv(ji+1,jj ,jk,Kmm) ) & |
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[14820] | 126 | & ) ! bracket for halo 1 - halo 2 compatibility |
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[12377] | 127 | zhke(ji,jj,jk) = r1_48 * ( zv + zu ) |
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| 128 | END_3D |
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[14834] | 129 | IF (nn_hls==1) CALL lbc_lnk( 'dynkeg', zhke, 'T', 1.0_wp ) |
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[5321] | 130 | ! |
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[10996] | 131 | END SELECT |
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[5328] | 132 | ! |
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[13497] | 133 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) !== grad( KE ) added to the general momentum trends ==! |
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[12377] | 134 | puu(ji,jj,jk,Krhs) = puu(ji,jj,jk,Krhs) - ( zhke(ji+1,jj ,jk) - zhke(ji,jj,jk) ) / e1u(ji,jj) |
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| 135 | pvv(ji,jj,jk,Krhs) = pvv(ji,jj,jk,Krhs) - ( zhke(ji ,jj+1,jk) - zhke(ji,jj,jk) ) / e2v(ji,jj) |
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| 136 | END_3D |
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[5321] | 137 | ! |
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| 138 | IF( l_trddyn ) THEN ! save the Kinetic Energy trends for diagnostic |
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[12377] | 139 | ztrdu(:,:,:) = puu(:,:,:,Krhs) - ztrdu(:,:,:) |
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| 140 | ztrdv(:,:,:) = pvv(:,:,:,Krhs) - ztrdv(:,:,:) |
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| 141 | CALL trd_dyn( ztrdu, ztrdv, jpdyn_keg, kt, Kmm ) |
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[9019] | 142 | DEALLOCATE( ztrdu , ztrdv ) |
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[216] | 143 | ENDIF |
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[503] | 144 | ! |
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[12377] | 145 | IF(sn_cfctl%l_prtctl) CALL prt_ctl( tab3d_1=puu(:,:,:,Krhs), clinfo1=' keg - Ua: ', mask1=umask, & |
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| 146 | & tab3d_2=pvv(:,:,:,Krhs), clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[503] | 147 | ! |
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[9019] | 148 | IF( ln_timing ) CALL timing_stop('dyn_keg') |
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[2715] | 149 | ! |
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[3] | 150 | END SUBROUTINE dyn_keg |
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| 151 | |
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| 152 | !!====================================================================== |
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| 153 | END MODULE dynkeg |
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