[3117] | 1 | MODULE bdydyn2d |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE bdydyn *** |
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[3191] | 4 | !! Unstructured Open Boundary Cond. : Apply boundary conditions to barotropic solution |
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[3117] | 5 | !!====================================================================== |
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[3191] | 6 | !! History : 3.4 ! 2011 (D. Storkey) new module as part of BDY rewrite |
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[3680] | 7 | !! 3.5 ! 2012 (S. Mocavero, I. Epicoco) Optimization of BDY communications |
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[4292] | 8 | !! 3.5 ! 2013-07 (J. Chanut) Compliant with time splitting changes |
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[3117] | 9 | !!---------------------------------------------------------------------- |
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[4292] | 10 | !! bdy_dyn2d : Apply open boundary conditions to barotropic variables. |
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| 11 | !! bdy_dyn2d_frs : Apply Flow Relaxation Scheme |
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| 12 | !! bdy_dyn2d_fla : Apply Flather condition |
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| 13 | !! bdy_dyn2d_orlanski : Orlanski Radiation |
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| 14 | !! bdy_ssh : Duplicate sea level across open boundaries |
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[3117] | 15 | !!---------------------------------------------------------------------- |
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| 16 | USE oce ! ocean dynamics and tracers |
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| 17 | USE dom_oce ! ocean space and time domain |
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| 18 | USE bdy_oce ! ocean open boundary conditions |
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[4292] | 19 | USE bdylib ! BDY library routines |
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[3117] | 20 | USE phycst ! physical constants |
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| 21 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[9023] | 22 | USE wet_dry ! Use wet dry to get reference ssh level |
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[3117] | 23 | USE in_out_manager ! |
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| 24 | |
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| 25 | IMPLICIT NONE |
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| 26 | PRIVATE |
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| 27 | |
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[4292] | 28 | PUBLIC bdy_dyn2d ! routine called in dynspg_ts and bdy_dyn |
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| 29 | PUBLIC bdy_ssh ! routine called in dynspg_ts or sshwzv |
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[3117] | 30 | |
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| 31 | !!---------------------------------------------------------------------- |
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[9598] | 32 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[5215] | 33 | !! $Id$ |
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[10068] | 34 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[3117] | 35 | !!---------------------------------------------------------------------- |
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| 36 | CONTAINS |
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| 37 | |
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[4354] | 38 | SUBROUTINE bdy_dyn2d( kt, pua2d, pva2d, pub2d, pvb2d, phur, phvr, pssh ) |
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[3117] | 39 | !!---------------------------------------------------------------------- |
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| 40 | !! *** SUBROUTINE bdy_dyn2d *** |
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| 41 | !! |
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| 42 | !! ** Purpose : - Apply open boundary conditions for barotropic variables |
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| 43 | !! |
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| 44 | !!---------------------------------------------------------------------- |
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| 45 | INTEGER, INTENT(in) :: kt ! Main time step counter |
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[4354] | 46 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pua2d, pva2d |
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| 47 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pub2d, pvb2d |
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| 48 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: phur, phvr |
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| 49 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pssh |
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[3117] | 50 | !! |
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| 51 | INTEGER :: ib_bdy ! Loop counter |
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| 52 | |
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| 53 | DO ib_bdy=1, nb_bdy |
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| 54 | |
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[4292] | 55 | SELECT CASE( cn_dyn2d(ib_bdy) ) |
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| 56 | CASE('none') |
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[3117] | 57 | CYCLE |
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[4292] | 58 | CASE('frs') |
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[4354] | 59 | CALL bdy_dyn2d_frs( idx_bdy(ib_bdy), dta_bdy(ib_bdy), ib_bdy, pua2d, pva2d ) |
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[4292] | 60 | CASE('flather') |
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[4354] | 61 | CALL bdy_dyn2d_fla( idx_bdy(ib_bdy), dta_bdy(ib_bdy), ib_bdy, pua2d, pva2d, pssh, phur, phvr ) |
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[4292] | 62 | CASE('orlanski') |
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[4354] | 63 | CALL bdy_dyn2d_orlanski( idx_bdy(ib_bdy), dta_bdy(ib_bdy), ib_bdy, & |
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| 64 | & pua2d, pva2d, pub2d, pvb2d, ll_npo=.false.) |
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[4292] | 65 | CASE('orlanski_npo') |
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[4354] | 66 | CALL bdy_dyn2d_orlanski( idx_bdy(ib_bdy), dta_bdy(ib_bdy), ib_bdy, & |
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| 67 | & pua2d, pva2d, pub2d, pvb2d, ll_npo=.true. ) |
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[3117] | 68 | CASE DEFAULT |
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[3191] | 69 | CALL ctl_stop( 'bdy_dyn2d : unrecognised option for open boundaries for barotropic variables' ) |
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[3117] | 70 | END SELECT |
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| 71 | ENDDO |
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| 72 | |
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| 73 | END SUBROUTINE bdy_dyn2d |
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| 74 | |
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[4354] | 75 | SUBROUTINE bdy_dyn2d_frs( idx, dta, ib_bdy, pua2d, pva2d ) |
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[3117] | 76 | !!---------------------------------------------------------------------- |
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| 77 | !! *** SUBROUTINE bdy_dyn2d_frs *** |
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| 78 | !! |
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| 79 | !! ** Purpose : - Apply the Flow Relaxation Scheme for barotropic velocities |
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| 80 | !! at open boundaries. |
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| 81 | !! |
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| 82 | !! References :- Engedahl H., 1995: Use of the flow relaxation scheme in |
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| 83 | !! a three-dimensional baroclinic ocean model with realistic |
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| 84 | !! topography. Tellus, 365-382. |
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| 85 | !!---------------------------------------------------------------------- |
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| 86 | TYPE(OBC_INDEX), INTENT(in) :: idx ! OBC indices |
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| 87 | TYPE(OBC_DATA), INTENT(in) :: dta ! OBC external data |
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[3680] | 88 | INTEGER, INTENT(in) :: ib_bdy ! BDY set index |
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[4354] | 89 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pua2d, pva2d |
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[3117] | 90 | !! |
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| 91 | INTEGER :: jb, jk ! dummy loop indices |
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| 92 | INTEGER :: ii, ij, igrd ! local integers |
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| 93 | REAL(wp) :: zwgt ! boundary weight |
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| 94 | !!---------------------------------------------------------------------- |
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| 95 | ! |
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| 96 | igrd = 2 ! Relaxation of zonal velocity |
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| 97 | DO jb = 1, idx%nblen(igrd) |
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| 98 | ii = idx%nbi(jb,igrd) |
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| 99 | ij = idx%nbj(jb,igrd) |
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| 100 | zwgt = idx%nbw(jb,igrd) |
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[4292] | 101 | pua2d(ii,ij) = ( pua2d(ii,ij) + zwgt * ( dta%u2d(jb) - pua2d(ii,ij) ) ) * umask(ii,ij,1) |
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[3117] | 102 | END DO |
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| 103 | ! |
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| 104 | igrd = 3 ! Relaxation of meridional velocity |
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| 105 | DO jb = 1, idx%nblen(igrd) |
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| 106 | ii = idx%nbi(jb,igrd) |
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| 107 | ij = idx%nbj(jb,igrd) |
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| 108 | zwgt = idx%nbw(jb,igrd) |
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[4292] | 109 | pva2d(ii,ij) = ( pva2d(ii,ij) + zwgt * ( dta%v2d(jb) - pva2d(ii,ij) ) ) * vmask(ii,ij,1) |
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[3117] | 110 | END DO |
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[4292] | 111 | CALL lbc_bdy_lnk( pua2d, 'U', -1., ib_bdy ) |
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| 112 | CALL lbc_bdy_lnk( pva2d, 'V', -1., ib_bdy) ! Boundary points should be updated |
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[3117] | 113 | ! |
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| 114 | END SUBROUTINE bdy_dyn2d_frs |
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| 115 | |
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| 116 | |
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[4354] | 117 | SUBROUTINE bdy_dyn2d_fla( idx, dta, ib_bdy, pua2d, pva2d, pssh, phur, phvr ) |
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[3117] | 118 | !!---------------------------------------------------------------------- |
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| 119 | !! *** SUBROUTINE bdy_dyn2d_fla *** |
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| 120 | !! |
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| 121 | !! - Apply Flather boundary conditions on normal barotropic velocities |
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| 122 | !! |
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| 123 | !! ** WARNINGS about FLATHER implementation: |
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| 124 | !!1. According to Palma and Matano, 1998 "after ssh" is used. |
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| 125 | !! In ROMS and POM implementations, it is "now ssh". In the current |
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| 126 | !! implementation (tested only in the EEL-R5 conf.), both cases were unstable. |
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| 127 | !! So I use "before ssh" in the following. |
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| 128 | !! |
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| 129 | !!2. We assume that the normal ssh gradient at the bdy is zero. As a matter of |
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| 130 | !! fact, the model ssh just inside the dynamical boundary is used (the outside |
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| 131 | !! ssh in the code is not updated). |
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| 132 | !! |
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| 133 | !! References: Flather, R. A., 1976: A tidal model of the northwest European |
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| 134 | !! continental shelf. Mem. Soc. R. Sci. Liege, Ser. 6,10, 141-164. |
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| 135 | !!---------------------------------------------------------------------- |
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| 136 | TYPE(OBC_INDEX), INTENT(in) :: idx ! OBC indices |
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| 137 | TYPE(OBC_DATA), INTENT(in) :: dta ! OBC external data |
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[3680] | 138 | INTEGER, INTENT(in) :: ib_bdy ! BDY set index |
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[4354] | 139 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pua2d, pva2d |
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| 140 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pssh, phur, phvr |
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[3117] | 141 | |
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| 142 | INTEGER :: jb, igrd ! dummy loop indices |
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| 143 | INTEGER :: ii, ij, iim1, iip1, ijm1, ijp1 ! 2D addresses |
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[4292] | 144 | REAL(wp), POINTER :: flagu, flagv ! short cuts |
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[3117] | 145 | REAL(wp) :: zcorr ! Flather correction |
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| 146 | REAL(wp) :: zforc ! temporary scalar |
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[4292] | 147 | REAL(wp) :: zflag, z1_2 ! " " |
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[3117] | 148 | !!---------------------------------------------------------------------- |
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| 149 | |
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[4292] | 150 | z1_2 = 0.5_wp |
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| 151 | |
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[3117] | 152 | ! ---------------------------------! |
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| 153 | ! Flather boundary conditions :! |
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| 154 | ! ---------------------------------! |
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| 155 | |
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| 156 | !!! REPLACE spgu with nemo_wrk work space |
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| 157 | |
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| 158 | ! Fill temporary array with ssh data (here spgu): |
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| 159 | igrd = 1 |
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| 160 | spgu(:,:) = 0.0 |
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| 161 | DO jb = 1, idx%nblenrim(igrd) |
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| 162 | ii = idx%nbi(jb,igrd) |
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| 163 | ij = idx%nbj(jb,igrd) |
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[9023] | 164 | IF( ll_wd ) THEN |
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| 165 | spgu(ii, ij) = dta%ssh(jb) - ssh_ref |
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| 166 | ELSE |
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| 167 | spgu(ii, ij) = dta%ssh(jb) |
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| 168 | ENDIF |
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[3117] | 169 | END DO |
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[4999] | 170 | |
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| 171 | CALL lbc_bdy_lnk( spgu(:,:), 'T', 1., ib_bdy ) |
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[3117] | 172 | ! |
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| 173 | igrd = 2 ! Flather bc on u-velocity; |
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| 174 | ! ! remember that flagu=-1 if normal velocity direction is outward |
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| 175 | ! ! I think we should rather use after ssh ? |
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| 176 | DO jb = 1, idx%nblenrim(igrd) |
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| 177 | ii = idx%nbi(jb,igrd) |
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| 178 | ij = idx%nbj(jb,igrd) |
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[4292] | 179 | flagu => idx%flagu(jb,igrd) |
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| 180 | iim1 = ii + MAX( 0, INT( flagu ) ) ! T pts i-indice inside the boundary |
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| 181 | iip1 = ii - MIN( 0, INT( flagu ) ) ! T pts i-indice outside the boundary |
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[3117] | 182 | ! |
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[4292] | 183 | zcorr = - flagu * SQRT( grav * phur(ii, ij) ) * ( pssh(iim1, ij) - spgu(iip1,ij) ) |
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| 184 | |
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| 185 | ! jchanut tschanges: Set zflag to 0 below to revert to Flather scheme |
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| 186 | ! Use characteristics method instead |
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| 187 | zflag = ABS(flagu) |
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| 188 | zforc = dta%u2d(jb) * (1._wp - z1_2*zflag) + z1_2 * zflag * pua2d(iim1,ij) |
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| 189 | pua2d(ii,ij) = zforc + (1._wp - z1_2*zflag) * zcorr * umask(ii,ij,1) |
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[3117] | 190 | END DO |
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| 191 | ! |
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| 192 | igrd = 3 ! Flather bc on v-velocity |
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| 193 | ! ! remember that flagv=-1 if normal velocity direction is outward |
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| 194 | DO jb = 1, idx%nblenrim(igrd) |
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| 195 | ii = idx%nbi(jb,igrd) |
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| 196 | ij = idx%nbj(jb,igrd) |
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[4292] | 197 | flagv => idx%flagv(jb,igrd) |
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| 198 | ijm1 = ij + MAX( 0, INT( flagv ) ) ! T pts j-indice inside the boundary |
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| 199 | ijp1 = ij - MIN( 0, INT( flagv ) ) ! T pts j-indice outside the boundary |
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[3117] | 200 | ! |
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[4292] | 201 | zcorr = - flagv * SQRT( grav * phvr(ii, ij) ) * ( pssh(ii, ijm1) - spgu(ii,ijp1) ) |
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| 202 | |
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| 203 | ! jchanut tschanges: Set zflag to 0 below to revert to std Flather scheme |
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| 204 | ! Use characteristics method instead |
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| 205 | zflag = ABS(flagv) |
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| 206 | zforc = dta%v2d(jb) * (1._wp - z1_2*zflag) + z1_2 * zflag * pva2d(ii,ijm1) |
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| 207 | pva2d(ii,ij) = zforc + (1._wp - z1_2*zflag) * zcorr * vmask(ii,ij,1) |
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[3117] | 208 | END DO |
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[4292] | 209 | CALL lbc_bdy_lnk( pua2d, 'U', -1., ib_bdy ) ! Boundary points should be updated |
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| 210 | CALL lbc_bdy_lnk( pva2d, 'V', -1., ib_bdy ) ! |
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[3117] | 211 | ! |
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| 212 | END SUBROUTINE bdy_dyn2d_fla |
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[4292] | 213 | |
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| 214 | |
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[4354] | 215 | SUBROUTINE bdy_dyn2d_orlanski( idx, dta, ib_bdy, pua2d, pva2d, pub2d, pvb2d, ll_npo ) |
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[4292] | 216 | !!---------------------------------------------------------------------- |
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| 217 | !! *** SUBROUTINE bdy_dyn2d_orlanski *** |
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| 218 | !! |
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| 219 | !! - Apply Orlanski radiation condition adaptively: |
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| 220 | !! - radiation plus weak nudging at outflow points |
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| 221 | !! - no radiation and strong nudging at inflow points |
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| 222 | !! |
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| 223 | !! |
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| 224 | !! References: Marchesiello, McWilliams and Shchepetkin, Ocean Modelling vol. 3 (2001) |
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| 225 | !!---------------------------------------------------------------------- |
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| 226 | TYPE(OBC_INDEX), INTENT(in) :: idx ! OBC indices |
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| 227 | TYPE(OBC_DATA), INTENT(in) :: dta ! OBC external data |
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| 228 | INTEGER, INTENT(in) :: ib_bdy ! number of current open boundary set |
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[4354] | 229 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: pua2d, pva2d |
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| 230 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pub2d, pvb2d |
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[4292] | 231 | LOGICAL, INTENT(in) :: ll_npo ! flag for NPO version |
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| 232 | |
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| 233 | INTEGER :: ib, igrd ! dummy loop indices |
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| 234 | INTEGER :: ii, ij, iibm1, ijbm1 ! indices |
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| 235 | !!---------------------------------------------------------------------- |
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| 236 | ! |
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| 237 | igrd = 2 ! Orlanski bc on u-velocity; |
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| 238 | ! |
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| 239 | CALL bdy_orlanski_2d( idx, igrd, pub2d, pua2d, dta%u2d, ll_npo ) |
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| 240 | |
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| 241 | igrd = 3 ! Orlanski bc on v-velocity |
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| 242 | ! |
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| 243 | CALL bdy_orlanski_2d( idx, igrd, pvb2d, pva2d, dta%v2d, ll_npo ) |
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| 244 | ! |
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| 245 | CALL lbc_bdy_lnk( pua2d, 'U', -1., ib_bdy ) ! Boundary points should be updated |
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| 246 | CALL lbc_bdy_lnk( pva2d, 'V', -1., ib_bdy ) ! |
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| 247 | ! |
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| 248 | END SUBROUTINE bdy_dyn2d_orlanski |
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| 249 | |
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[9124] | 250 | |
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[4292] | 251 | SUBROUTINE bdy_ssh( zssh ) |
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| 252 | !!---------------------------------------------------------------------- |
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| 253 | !! *** SUBROUTINE bdy_ssh *** |
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| 254 | !! |
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| 255 | !! ** Purpose : Duplicate sea level across open boundaries |
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| 256 | !! |
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| 257 | !!---------------------------------------------------------------------- |
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| 258 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: zssh ! Sea level |
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| 259 | !! |
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| 260 | INTEGER :: ib_bdy, ib, igrd ! local integers |
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| 261 | INTEGER :: ii, ij, zcoef, zcoef1, zcoef2, ip, jp ! " " |
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| 262 | |
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| 263 | igrd = 1 ! Everything is at T-points here |
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| 264 | |
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| 265 | DO ib_bdy = 1, nb_bdy |
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| 266 | DO ib = 1, idx_bdy(ib_bdy)%nblenrim(igrd) |
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| 267 | ii = idx_bdy(ib_bdy)%nbi(ib,igrd) |
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| 268 | ij = idx_bdy(ib_bdy)%nbj(ib,igrd) |
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| 269 | ! Set gradient direction: |
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| 270 | zcoef1 = bdytmask(ii-1,ij ) + bdytmask(ii+1,ij ) |
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| 271 | zcoef2 = bdytmask(ii ,ij-1) + bdytmask(ii ,ij+1) |
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| 272 | IF ( zcoef1+zcoef2 == 0 ) THEN |
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| 273 | ! corner |
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| 274 | ! zcoef = tmask(ii-1,ij,1) + tmask(ii+1,ij,1) + tmask(ii,ij-1,1) + tmask(ii,ij+1,1) |
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| 275 | ! zssh(ii,ij) = zssh(ii-1,ij ) * tmask(ii-1,ij ,1) + & |
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| 276 | ! & zssh(ii+1,ij ) * tmask(ii+1,ij ,1) + & |
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| 277 | ! & zssh(ii ,ij-1) * tmask(ii ,ij-1,1) + & |
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| 278 | ! & zssh(ii ,ij+1) * tmask(ii ,ij+1,1) |
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| 279 | zcoef = bdytmask(ii-1,ij) + bdytmask(ii+1,ij) + bdytmask(ii,ij-1) + bdytmask(ii,ij+1) |
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| 280 | zssh(ii,ij) = zssh(ii-1,ij ) * bdytmask(ii-1,ij ) + & |
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| 281 | & zssh(ii+1,ij ) * bdytmask(ii+1,ij ) + & |
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| 282 | & zssh(ii ,ij-1) * bdytmask(ii ,ij-1) + & |
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| 283 | & zssh(ii ,ij+1) * bdytmask(ii ,ij+1) |
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| 284 | zssh(ii,ij) = ( zssh(ii,ij) / MAX( 1, zcoef) ) * tmask(ii,ij,1) |
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| 285 | ELSE |
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| 286 | ip = bdytmask(ii+1,ij ) - bdytmask(ii-1,ij ) |
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| 287 | jp = bdytmask(ii ,ij+1) - bdytmask(ii ,ij-1) |
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| 288 | zssh(ii,ij) = zssh(ii+ip,ij+jp) * tmask(ii+ip,ij+jp,1) |
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| 289 | ENDIF |
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| 290 | END DO |
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| 291 | |
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| 292 | ! Boundary points should be updated |
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| 293 | CALL lbc_bdy_lnk( zssh(:,:), 'T', 1., ib_bdy ) |
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| 294 | END DO |
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| 295 | |
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| 296 | END SUBROUTINE bdy_ssh |
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| 297 | |
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[3117] | 298 | !!====================================================================== |
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| 299 | END MODULE bdydyn2d |
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[4292] | 300 | |
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