| 1 | SUBROUTINE ana_m2obc (ng, tile, model)
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| 2 | !
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| 3 | !! svn $Id: ana_m2obc.h 216 2008-08-08 18:35:19Z arango $
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| 4 | !!======================================================================
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| 5 | !! Copyright (c) 2002-2008 The ROMS/TOMS Group !
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| 6 | !! Licensed under a MIT/X style license !
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| 7 | !! See License_ROMS.txt !
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| 8 | !=======================================================================
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| 9 | ! !
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| 10 | ! This routine sets 2D momentum open boundary conditions using !
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| 11 | ! analytical expressions. !
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| 12 | ! !
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| 13 | !=======================================================================
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| 14 | !
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| 15 | USE mod_param
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| 16 | USE mod_grid
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| 17 | USE mod_ncparam
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| 18 | USE mod_ocean
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| 19 | USE mod_stepping
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| 20 | !
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| 21 | ! Imported variable declarations.
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| 22 | !
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| 23 | integer, intent(in) :: ng, tile, model
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| 24 |
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| 25 | #include "tile.h"
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| 26 | !
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| 27 | CALL ana_m2obc_tile (ng, tile, model, &
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| 28 | & LBi, UBi, LBj, UBj, &
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| 29 | & IminS, ImaxS, JminS, JmaxS, &
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| 30 | & knew(ng), &
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| 31 | & GRID(ng) % angler, &
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| 32 | & GRID(ng) % h, &
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| 33 | & GRID(ng) % pm, &
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| 34 | & GRID(ng) % pn, &
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| 35 | & GRID(ng) % on_u, &
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| 36 | #ifdef MASKING
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| 37 | & GRID(ng) % umask, &
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| 38 | #endif
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| 39 | & OCEAN(ng) % zeta)
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| 40 | !
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| 41 | ! Set analytical header file name used.
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| 42 | !
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| 43 | IF (Lanafile) THEN
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| 44 | ANANAME(12)=__FILE__
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| 45 | END IF
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| 46 |
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| 47 | RETURN
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| 48 | END SUBROUTINE ana_m2obc
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| 49 | !
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| 50 | !***********************************************************************
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| 51 | SUBROUTINE ana_m2obc_tile (ng, tile, model, &
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| 52 | & LBi, UBi, LBj, UBj, &
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| 53 | & IminS, ImaxS, JminS, JmaxS, &
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| 54 | & knew, &
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| 55 | & angler, h, pm, pn, on_u, &
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| 56 | #ifdef MASKING
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| 57 | & umask, &
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| 58 | #endif
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| 59 | & zeta)
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| 60 | !***********************************************************************
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| 61 | !
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| 62 | USE mod_param
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| 63 | USE mod_boundary
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| 64 | USE mod_grid
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| 65 | USE mod_scalars
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| 66 | !
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| 67 | ! Imported variable declarations.
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| 68 | !
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| 69 | integer, intent(in) :: ng, tile, model
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| 70 | integer, intent(in) :: LBi, UBi, LBj, UBj
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| 71 | integer, intent(in) :: IminS, ImaxS, JminS, JmaxS
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| 72 | integer, intent(in) :: knew
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| 73 | !
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| 74 | #ifdef ASSUMED_SHAPE
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| 75 | real(r8), intent(in) :: angler(LBi:,LBj:)
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| 76 | real(r8), intent(in) :: h(LBi:,LBj:)
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| 77 | real(r8), intent(in) :: pm(LBi:,LBj:)
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| 78 | real(r8), intent(in) :: pn(LBi:,LBj:)
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| 79 | real(r8), intent(in) :: on_u(LBi:,LBj:)
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| 80 | # ifdef MASKING
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| 81 | real(r8), intent(in) :: umask(LBi:,LBj:)
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| 82 | # endif
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| 83 | real(r8), intent(in) :: zeta(LBi:,LBj:,:)
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| 84 | #else
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| 85 | real(r8), intent(in) :: angler(LBi:UBi,LBj:UBj)
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| 86 | real(r8), intent(in) :: h(LBi:UBi,LBj:UBj)
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| 87 | real(r8), intent(in) :: pm(LBi:UBi,LBj:UBj)
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| 88 | real(r8), intent(in) :: pn(LBi:UBi,LBj:UBj)
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| 89 | real(r8), intent(in) :: on_u(LBi:UBi,LBj:UBj)
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| 90 | # ifdef MASKING
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| 91 | real(r8), intent(in) :: umask(LBi:UBi,LBj:UBj)
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| 92 | # endif
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| 93 | real(r8), intent(in) :: zeta(LBi:UBi,LBj:UBj,3)
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| 94 | #endif
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| 95 | !
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| 96 | ! Local variable declarations.
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| 97 | !
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| 98 | integer :: i, j
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| 99 | real(r8) :: angle, cff, fac, major, minor, omega, phase, val
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| 100 | real(r8) :: ramp
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| 101 | #if defined ESTUARY_TEST || defined INLET_TEST
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| 102 | real(r8) :: my_area, my_flux, tid_flow, riv_flow, cff1, cff2, &
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| 103 | & model_flux
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| 104 | #endif
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| 105 | #if defined TEST_CHAN
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| 106 | real(r8) :: my_area, my_width
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| 107 | #endif
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| 108 |
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| 109 | #include "set_bounds.h"
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| 110 | !
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| 111 | !-----------------------------------------------------------------------
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| 112 | ! 2D momentum open boundary conditions.
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| 113 | !-----------------------------------------------------------------------
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| 114 | !
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| 115 | #if defined ESTUARY_TEST
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| 116 | cff1=0.40_r8 ! west end
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| 117 | cff2=0.08_r8
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| 118 | riv_flow=cff2*300.0_r8*5.0_r8
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| 119 | tid_flow=cff1*300.0_r8*10.0_r8
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| 120 | IF (WESTERN_EDGE) THEN
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| 121 | my_area=0.0_r8
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| 122 | my_flux=0.0_r8
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| 123 | DO j=Jstr,Jend
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| 124 | cff=0.5_r8*(zeta(Istr ,j,knew)+h(Istr ,j)+ &
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| 125 | & zeta(Istr-1,j,knew)+h(Istr-1,j))/pn(Istr,j)
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| 126 | my_area=my_area+cff
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| 127 | END DO
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| 128 | my_flux=-tid_flow*SIN(2.0_r8*pi*time(ng)/ &
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| 129 | & (12.0_r8*3600.0_r8))-riv_flow
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| 130 | DO j=Jstr,Jend
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| 131 | BOUNDARY(ng)%ubar_west(j)=my_flux/my_area
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| 132 | BOUNDARY(ng)%vbar_west(j)=0.0_r8
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| 133 | END DO
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| 134 | END IF
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| 135 | cff2=0.08_r8 ! east end
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| 136 | riv_flow=cff2*300.0_r8*5.0_r8
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| 137 | IF (EASTERN_EDGE) THEN
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| 138 | my_area=0.0_r8
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| 139 | my_flux=0.0_r8
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| 140 | DO j=Jstr,Jend
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| 141 | cff=0.5_r8*(zeta(Iend ,j,knew)+h(Iend ,j)+ &
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| 142 | & zeta(Iend+1,j,knew)+h(Iend+1,j))/pn(Iend,j)
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| 143 | my_area=my_area+cff
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| 144 | END DO
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| 145 | my_flux=-riv_flow
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| 146 | DO j=Jstr,Jend
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| 147 | BOUNDARY(ng)%ubar_east(j)=my_flux/my_area
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| 148 | BOUNDARY(ng)%vbar_east(j)=0.0_r8
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| 149 | END DO
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| 150 | END IF
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| 151 | #elif defined KELVIN
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| 152 | fac=1.0_r8 ! zeta0
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| 153 | omega=2.0_r8*pi/(12.42_r8*3600.0_r8) ! M2 Tide period
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| 154 | val=fac*SIN(omega*time(ng))
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| 155 | IF (WESTERN_EDGE) THEN
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| 156 | DO j=JstrR,JendR
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| 157 | cff=SQRT(g/GRID(ng)%h(Istr-1,j))
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| 158 | BOUNDARY(ng)%ubar_west(j)=val*cff*EXP(-GRID(ng)%f(Istr-1,j)* &
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| 159 | & GRID(ng)%yp(Istr-1,j)/ &
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| 160 | & cff)
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| 161 | END DO
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| 162 | DO j=Jstr,JendR
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| 163 | BOUNDARY(ng)%vbar_west(j)=0.0_r8
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| 164 | END DO
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| 165 | END IF
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| 166 | IF (EASTERN_EDGE) THEN
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| 167 | DO j=JstrR,JendR
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| 168 | cff=1.0_r8/SQRT(g*GRID(ng)%h(Iend,j))
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| 169 | val=fac*EXP(-GRID(ng)%f(Iend,j)*GRID(ng)%yp(Istr-1,j)*cff)
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| 170 | BOUNDARY(ng)%ubar_east(j)=val*SIN(omega*GRID(ng)%xp(Iend,j)* &
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| 171 | & cff-omega*time(ng))
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| 172 | END DO
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| 173 | DO j=Jstr,JendR
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| 174 | BOUNDARY(ng)%vbar_east(j)=0.0_r8
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| 175 | END DO
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| 176 | END IF
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| 177 | #elif defined SED_TEST1
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| 178 | IF (WESTERN_EDGE) THEN
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| 179 | DO j=JstrR,JendR
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| 180 | val=0.5_r8*(zeta(Istr-1,j,knew)+h(Istr-1,j)+ &
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| 181 | & zeta(Istr ,j,knew)+h(Istr ,j))
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| 182 | BOUNDARY(ng)%ubar_west(j)=-10.0_r8/val
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| 183 | END DO
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| 184 | DO j=Jstr,JendR
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| 185 | BOUNDARY(ng)%vbar_west(j)=0.0_r8
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| 186 | END DO
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| 187 | END IF
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| 188 | IF (EASTERN_EDGE) THEN
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| 189 | DO j=JstrR,JendR
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| 190 | val=0.5_r8*(zeta(Iend ,j,knew)+h(Iend ,j)+ &
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| 191 | & zeta(Iend+1,j,knew)+h(Iend+1,j))
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| 192 | BOUNDARY(ng)%ubar_east(j)=-10.0_r8/val
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| 193 | END DO
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| 194 | DO j=Jstr,JendR
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| 195 | BOUNDARY(ng)%vbar_east(j)=0.0_r8
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| 196 | END DO
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| 197 | END IF
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| 198 | #elif defined TEST_CHAN
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| 199 | ramp=MIN(time(ng)/150000.0_r8,1.0_r8)
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| 200 | IF (WESTERN_EDGE) THEN
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| 201 | my_area =0.0_r8
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| 202 | my_width=0.0_r8
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| 203 | DO j=Jstr,Jend
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| 204 | my_area=my_area+0.5_r8*(zeta(Istr-1,j,knew)+h(Istr-1,j)+ &
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| 205 | & zeta(Istr ,j,knew)+h(Istr ,j))* &
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| 206 | & on_u(Istr,j)
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| 207 | my_width=my_width+on_u(Istr,j)
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| 208 | END DO
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| 209 | fac=my_width*10.0_r8*1.0_r8*ramp !(width depth ubar)
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| 210 | DO j=Jstr,Jend
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| 211 | BOUNDARY(ng)%ubar_west(j)=fac/my_area
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| 212 | END DO
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| 213 | END IF
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| 214 | IF (EASTERN_EDGE) THEN
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| 215 | my_area =0.0_r8
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| 216 | my_width=0.0_r8
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| 217 | DO j=Jstr,Jend
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| 218 | my_area=my_area+0.5_r8*(zeta(Iend+1,j,knew)+h(Iend+1,j)+ &
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| 219 | & zeta(Iend ,j,knew)+h(Iend ,j))* &
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| 220 | & on_u(Iend,j)
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| 221 | my_width=my_width+on_u(Iend,j)
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| 222 | END DO
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| 223 | fac=my_width*10.0_r8*1.0_r8*ramp !(width depth ubar)
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| 224 | DO j=Jstr,Jend
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| 225 | BOUNDARY(ng)%ubar_east(j)=fac/my_area
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| 226 | END DO
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| 227 | END IF
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| 228 | # elif defined TRENCH
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| 229 | IF (WESTERN_EDGE) THEN
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| 230 | my_area=0.0_r8
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| 231 | my_width=0.0_r8
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| 232 | DO j=Jstr,Jend
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| 233 | my_area=my_area+0.5_r8*(zeta(Istr-1,j,knew)+h(Istr-1,j)+ &
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| 234 | & zeta(Istr ,j,knew)+h(Istr ,j))* &
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| 235 | & on_u(Istr,j)
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| 236 | my_width=my_width+on_u(Istr,j)
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| 237 | END DO
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| 238 | fac=my_width*0.39_r8*0.51_r8 !(width depth ubar)
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| 239 | DO j=Jstr,Jend
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| 240 | BOUNDARY(ng)%ubar_west(j)=fac/my_area
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| 241 | END DO
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| 242 | END IF
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| 243 | IF (EASTERN_EDGE) THEN
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| 244 | my_area=0.0_r8
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| 245 | my_width=0.0_r8
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| 246 | DO j=Jstr,Jend
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| 247 | my_area=my_area+0.5_r8*(zeta(Iend+1,j,knew)+h(Iend+1,j)+ &
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| 248 | & zeta(Iend ,j,knew)+h(Iend ,j))* &
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| 249 | & on_u(Iend,j)
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| 250 | my_width=my_width+on_u(Iend,j)
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| 251 | END DO
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| 252 | fac=my_width*0.39_r8*0.51_r8 !(width depth ubar)
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| 253 | DO j=Jstr,Jend
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| 254 | BOUNDARY(ng)%ubar_east(j)=fac/my_area
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| 255 | END DO
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| 256 | END IF
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| 257 | #elif defined WEDDELL
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| 258 | IF (WESTERN_EDGE) THEN
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| 259 | fac=TANH((tdays(ng)-dstart)/1.0_r8)
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| 260 | omega=2.0_r8*pi*time(ng)/(12.42_r8*3600.0_r8) ! M2 Tide period
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| 261 | minor=0.0143_r8+(0.0143_r8+0.010_r8)/REAL(Iend+1,r8)
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| 262 | major=0.1144_r8+(0.1144_r8-0.013_r8)/REAL(Iend+1,r8)
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| 263 | phase=(318.0_r8+(318.0_r8-355.0_r8)/REAL(Iend+1,r8))*deg2rad
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| 264 | angle=(125.0_r8+(125.0_r8- 25.0_r8)/REAL(Iend+1,r8))*deg2rad
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| 265 | DO j=JstrR,JendR
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| 266 | val=0.5_r8*(angler(Istr-1,j)+angler(Istr,j))
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| 267 | BOUNDARY(ng)%ubar_west(j)=fac*(major*COS(angle-val)* &
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| 268 | & COS(omega-phase)- &
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| 269 | & minor*SIN(angle-val)* &
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| 270 | & SIN(omega-phase))
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| 271 | END DO
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| 272 | DO j=Jstr,JendR
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| 273 | val=0.5_r8*(angler(Istr-1,j-1)+angler(Istr-1,j))
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| 274 | BOUNDARY(ng)%vbar_west(j)=fac*(major*SIN(angle-val)* &
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| 275 | & COS(omega-phase)- &
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| 276 | & minor*SIN(angle-val)* &
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| 277 | & COS(omega-phase))
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| 278 | END DO
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| 279 | END IF
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| 280 | IF (EASTERN_EDGE) THEN
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| 281 | fac=TANH((tdays(ng)-dstart)/1.0_r8)
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| 282 | omega=2.0_r8*pi*time(ng)/(12.42_r8*3600.0_r8) ! M2 Tide period
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| 283 | minor=0.0143_r8+(0.0143_r8+0.010_r8)
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| 284 | major=0.1144_r8+(0.1144_r8-0.013_r8)
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| 285 | phase=(318.0_r8+(318.0_r8-355.0_r8))*deg2rad
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| 286 | angle=(125.0_r8+(125.0_r8- 25.0_r8))*deg2rad
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| 287 | DO j=JstrR,JendR
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| 288 | val=0.5_r8*(angler(Iend,j)+angler(Iend+1,j))
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| 289 | BOUNDARY(ng)%ubar_east(j)=fac*(major*COS(angle-val)* &
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| 290 | & COS(omega-phase)- &
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| 291 | & minor*SIN(angle-val)* &
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| 292 | & SIN(omega-phase))
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| 293 | END DO
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| 294 | DO j=Jstr,JendR
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| 295 | val=0.5_r8*(angler(Iend+1,j-1)+angler(Iend+1,j))
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| 296 | BOUNDARY(ng)%vbar_east(j)=fac*(major*SIN(angle-val)* &
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| 297 | & COS(omega-phase)- &
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| 298 | & minor*SIN(angle-val)* &
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| 299 | & COS(omega-phase))
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| 300 | END DO
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| 301 | END IF
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| 302 | #else
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| 303 | IF (EASTERN_EDGE) THEN
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| 304 | DO j=JstrR,JendR
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| 305 | BOUNDARY(ng)%ubar_east(j)=0.0_r8
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| 306 | END DO
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| 307 | DO j=Jstr,JendR
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| 308 | BOUNDARY(ng)%vbar_east(j)=0.0_r8
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| 309 | END DO
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| 310 | END IF
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| 311 | IF (WESTERN_EDGE) THEN
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| 312 | DO j=JstrR,JendR
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| 313 | BOUNDARY(ng)%ubar_west(j)=0.0_r8
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| 314 | END DO
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| 315 | DO j=Jstr,JendR
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| 316 | BOUNDARY(ng)%vbar_west(j)=0.0_r8
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| 317 | END DO
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| 318 | END IF
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| 319 | IF (SOUTHERN_EDGE) THEN
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| 320 | DO i=Istr,IendR
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| 321 | BOUNDARY(ng)%ubar_south(i)=0.0_r8
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| 322 | END DO
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| 323 | DO i=IstrR,IendR
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| 324 | BOUNDARY(ng)%vbar_south(i)=0.0_r8
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| 325 | END DO
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| 326 | END IF
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| 327 | IF (NORTHERN_EDGE) THEN
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| 328 | DO i=Istr,IendR
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| 329 | BOUNDARY(ng)%ubar_north(i)=0.0_r8
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| 330 | END DO
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| 331 | DO i=IstrR,IendR
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| 332 | BOUNDARY(ng)%vbar_north(i)=0.0_r8
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| 333 | END DO
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| 334 | END IF
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| 335 | #endif
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| 336 | RETURN
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| 337 | END SUBROUTINE ana_m2obc_tile
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