[3] | 1 | MODULE dynkeg |
---|
| 2 | !!====================================================================== |
---|
| 3 | !! *** MODULE dynkeg *** |
---|
| 4 | !! Ocean dynamics: kinetic energy gradient trend |
---|
| 5 | !!====================================================================== |
---|
[5321] | 6 | !! History : 1.0 ! 1987-09 (P. Andrich, M.-A. Foujols) Original code |
---|
| 7 | !! 7.0 ! 1997-05 (G. Madec) Split dynber into dynkeg and dynhpg |
---|
| 8 | !! NEMO 1.0 ! 2002-07 (G. Madec) F90: Free form and module |
---|
[5328] | 9 | !! 3.6 ! 2015-05 (N. Ducousso, G. Madec) add Hollingsworth scheme as an option |
---|
[503] | 10 | !!---------------------------------------------------------------------- |
---|
[5328] | 11 | |
---|
[3] | 12 | !!---------------------------------------------------------------------- |
---|
| 13 | !! dyn_keg : update the momentum trend with the horizontal tke |
---|
| 14 | !!---------------------------------------------------------------------- |
---|
| 15 | USE oce ! ocean dynamics and tracers |
---|
| 16 | USE dom_oce ! ocean space and time domain |
---|
[4990] | 17 | USE trd_oce ! trends: ocean variables |
---|
| 18 | USE trddyn ! trend manager: dynamics |
---|
| 19 | ! |
---|
[2715] | 20 | USE in_out_manager ! I/O manager |
---|
[5321] | 21 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
---|
[2715] | 22 | USE lib_mpp ! MPP library |
---|
[258] | 23 | USE prtctl ! Print control |
---|
[3294] | 24 | USE timing ! Timing |
---|
[7646] | 25 | USE bdy_oce ! ocean open boundary conditions |
---|
[3] | 26 | |
---|
| 27 | IMPLICIT NONE |
---|
| 28 | PRIVATE |
---|
| 29 | |
---|
[503] | 30 | PUBLIC dyn_keg ! routine called by step module |
---|
[5328] | 31 | |
---|
[5321] | 32 | INTEGER, PARAMETER, PUBLIC :: nkeg_C2 = 0 !: 2nd order centered scheme (standard scheme) |
---|
| 33 | INTEGER, PARAMETER, PUBLIC :: nkeg_HW = 1 !: Hollingsworth et al., QJRMS, 1983 |
---|
| 34 | ! |
---|
| 35 | REAL(wp) :: r1_48 = 1._wp / 48._wp !: =1/(4*2*6) |
---|
[5328] | 36 | |
---|
[3] | 37 | !! * Substitutions |
---|
[12377] | 38 | # include "do_loop_substitute.h90" |
---|
[503] | 39 | !!---------------------------------------------------------------------- |
---|
[9598] | 40 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
---|
[5328] | 41 | !! $Id$ |
---|
[10068] | 42 | !! Software governed by the CeCILL license (see ./LICENSE) |
---|
[503] | 43 | !!---------------------------------------------------------------------- |
---|
[3] | 44 | CONTAINS |
---|
| 45 | |
---|
[12377] | 46 | SUBROUTINE dyn_keg( kt, kscheme, Kmm, puu, pvv, Krhs ) |
---|
[3] | 47 | !!---------------------------------------------------------------------- |
---|
| 48 | !! *** ROUTINE dyn_keg *** |
---|
| 49 | !! |
---|
| 50 | !! ** Purpose : Compute the now momentum trend due to the horizontal |
---|
[5328] | 51 | !! gradient of the horizontal kinetic energy and add it to the |
---|
[3] | 52 | !! general momentum trend. |
---|
| 53 | !! |
---|
[5328] | 54 | !! ** Method : * kscheme = nkeg_C2 : 2nd order centered scheme that |
---|
| 55 | !! conserve kinetic energy. Compute the now horizontal kinetic energy |
---|
[3] | 56 | !! zhke = 1/2 [ mi-1( un^2 ) + mj-1( vn^2 ) ] |
---|
[5321] | 57 | !! * kscheme = nkeg_HW : Hollingsworth correction following |
---|
| 58 | !! Arakawa (2001). The now horizontal kinetic energy is given by: |
---|
[12377] | 59 | !! zhke = 1/6 [ mi-1( 2 * un^2 + ((u(j+1)+u(j-1))/2)^2 ) |
---|
| 60 | !! + mj-1( 2 * vn^2 + ((v(i+1)+v(i-1))/2)^2 ) ] |
---|
[5328] | 61 | !! |
---|
[3] | 62 | !! Take its horizontal gradient and add it to the general momentum |
---|
[12377] | 63 | !! trend. |
---|
| 64 | !! u(rhs) = u(rhs) - 1/e1u di[ zhke ] |
---|
| 65 | !! v(rhs) = v(rhs) - 1/e2v dj[ zhke ] |
---|
[3] | 66 | !! |
---|
[12377] | 67 | !! ** Action : - Update the (puu(:,:,:,Krhs), pvv(:,:,:,Krhs)) with the hor. ke gradient trend |
---|
[4990] | 68 | !! - send this trends to trd_dyn (l_trddyn=T) for post-processing |
---|
[5321] | 69 | !! |
---|
| 70 | !! ** References : Arakawa, A., International Geophysics 2001. |
---|
| 71 | !! Hollingsworth et al., Quart. J. Roy. Meteor. Soc., 1983. |
---|
[503] | 72 | !!---------------------------------------------------------------------- |
---|
[12377] | 73 | INTEGER , INTENT( in ) :: kt ! ocean time-step index |
---|
| 74 | INTEGER , INTENT( in ) :: kscheme ! =0/1 type of KEG scheme |
---|
| 75 | INTEGER , INTENT( in ) :: Kmm, Krhs ! ocean time level indices |
---|
| 76 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpt), INTENT(inout) :: puu, pvv ! ocean velocities and RHS of momentum equation |
---|
[4990] | 77 | ! |
---|
[11536] | 78 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
[10996] | 79 | REAL(wp) :: zu, zv ! local scalars |
---|
[9019] | 80 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhke |
---|
| 81 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: ztrdu, ztrdv |
---|
[3] | 82 | !!---------------------------------------------------------------------- |
---|
[3294] | 83 | ! |
---|
[9019] | 84 | IF( ln_timing ) CALL timing_start('dyn_keg') |
---|
[3294] | 85 | ! |
---|
[3] | 86 | IF( kt == nit000 ) THEN |
---|
| 87 | IF(lwp) WRITE(numout,*) |
---|
[5321] | 88 | IF(lwp) WRITE(numout,*) 'dyn_keg : kinetic energy gradient trend, scheme number=', kscheme |
---|
[3] | 89 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
---|
| 90 | ENDIF |
---|
[216] | 91 | |
---|
[9019] | 92 | IF( l_trddyn ) THEN ! Save the input trends |
---|
| 93 | ALLOCATE( ztrdu(jpi,jpj,jpk) , ztrdv(jpi,jpj,jpk) ) |
---|
[12377] | 94 | ztrdu(:,:,:) = puu(:,:,:,Krhs) |
---|
| 95 | ztrdv(:,:,:) = pvv(:,:,:,Krhs) |
---|
[216] | 96 | ENDIF |
---|
[5328] | 97 | |
---|
[7753] | 98 | zhke(:,:,jpk) = 0._wp |
---|
[7646] | 99 | |
---|
[5328] | 100 | SELECT CASE ( kscheme ) !== Horizontal kinetic energy at T-point ==! |
---|
| 101 | ! |
---|
| 102 | CASE ( nkeg_C2 ) !-- Standard scheme --! |
---|
[13295] | 103 | DO_3D( 0, 1, 0, 1, 1, jpkm1 ) |
---|
[12377] | 104 | zu = puu(ji-1,jj ,jk,Kmm) * puu(ji-1,jj ,jk,Kmm) & |
---|
| 105 | & + puu(ji ,jj ,jk,Kmm) * puu(ji ,jj ,jk,Kmm) |
---|
| 106 | zv = pvv(ji ,jj-1,jk,Kmm) * pvv(ji ,jj-1,jk,Kmm) & |
---|
| 107 | & + pvv(ji ,jj ,jk,Kmm) * pvv(ji ,jj ,jk,Kmm) |
---|
| 108 | zhke(ji,jj,jk) = 0.25_wp * ( zv + zu ) |
---|
| 109 | END_3D |
---|
[5328] | 110 | CASE ( nkeg_HW ) !-- Hollingsworth scheme --! |
---|
[13295] | 111 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[12377] | 112 | zu = 8._wp * ( puu(ji-1,jj ,jk,Kmm) * puu(ji-1,jj ,jk,Kmm) & |
---|
| 113 | & + puu(ji ,jj ,jk,Kmm) * puu(ji ,jj ,jk,Kmm) ) & |
---|
| 114 | & + ( 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) ) & |
---|
| 115 | & + ( puu(ji ,jj-1,jk,Kmm) + puu(ji ,jj+1,jk,Kmm) ) * ( puu(ji ,jj-1,jk,Kmm) + puu(ji ,jj+1,jk,Kmm) ) |
---|
| 116 | ! |
---|
| 117 | zv = 8._wp * ( pvv(ji ,jj-1,jk,Kmm) * pvv(ji ,jj-1,jk,Kmm) & |
---|
| 118 | & + pvv(ji ,jj ,jk,Kmm) * pvv(ji ,jj ,jk,Kmm) ) & |
---|
| 119 | & + ( 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) ) & |
---|
| 120 | & + ( pvv(ji-1,jj ,jk,Kmm) + pvv(ji+1,jj ,jk,Kmm) ) * ( pvv(ji-1,jj ,jk,Kmm) + pvv(ji+1,jj ,jk,Kmm) ) |
---|
| 121 | zhke(ji,jj,jk) = r1_48 * ( zv + zu ) |
---|
| 122 | END_3D |
---|
[13226] | 123 | CALL lbc_lnk( 'dynkeg', zhke, 'T', 1.0_wp ) |
---|
[5321] | 124 | ! |
---|
[10996] | 125 | END SELECT |
---|
[5328] | 126 | ! |
---|
[13497] | 127 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) !== grad( KE ) added to the general momentum trends ==! |
---|
[12377] | 128 | puu(ji,jj,jk,Krhs) = puu(ji,jj,jk,Krhs) - ( zhke(ji+1,jj ,jk) - zhke(ji,jj,jk) ) / e1u(ji,jj) |
---|
| 129 | pvv(ji,jj,jk,Krhs) = pvv(ji,jj,jk,Krhs) - ( zhke(ji ,jj+1,jk) - zhke(ji,jj,jk) ) / e2v(ji,jj) |
---|
| 130 | END_3D |
---|
[5321] | 131 | ! |
---|
| 132 | IF( l_trddyn ) THEN ! save the Kinetic Energy trends for diagnostic |
---|
[12377] | 133 | ztrdu(:,:,:) = puu(:,:,:,Krhs) - ztrdu(:,:,:) |
---|
| 134 | ztrdv(:,:,:) = pvv(:,:,:,Krhs) - ztrdv(:,:,:) |
---|
| 135 | CALL trd_dyn( ztrdu, ztrdv, jpdyn_keg, kt, Kmm ) |
---|
[9019] | 136 | DEALLOCATE( ztrdu , ztrdv ) |
---|
[216] | 137 | ENDIF |
---|
[503] | 138 | ! |
---|
[12377] | 139 | IF(sn_cfctl%l_prtctl) CALL prt_ctl( tab3d_1=puu(:,:,:,Krhs), clinfo1=' keg - Ua: ', mask1=umask, & |
---|
| 140 | & tab3d_2=pvv(:,:,:,Krhs), clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
---|
[503] | 141 | ! |
---|
[9019] | 142 | IF( ln_timing ) CALL timing_stop('dyn_keg') |
---|
[2715] | 143 | ! |
---|
[3] | 144 | END SUBROUTINE dyn_keg |
---|
| 145 | |
---|
| 146 | !!====================================================================== |
---|
| 147 | END MODULE dynkeg |
---|