openfoamに 実装したs clsvof法ofbkansai.sakura.ne.jp/data/s-clsvof検証(20131123...openfoamに...
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OpenFOAMS-CLSVOF
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VOF
0 0 0 0 0
0 0 0 0.1 0.3
0 0 0.5 0.95 1.0
0 0.4 1.0 1.0 1.0
0 0.7 1.0 1.0 1.0
VOF
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A. Albadawi et al. (2013)
A. Albadawi et al., Int. J. Multiphase Flow, 53, 11-28 (2013).
S-CLSVOF (Simple Coupled Volume of Fluid with Level Set method)
Air
Air
water
OpenFOAM
VOF(interFoam) S-CLSVOF
35~50% 25%
2% 3%
S-CLSVOF
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interFoam (VOF)
Navier-Stokes
sk
gPt
nF
Fvvvv
=
+++=+
2
:: liquid phase :: interface :: gas phase
1=
0=10
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Navier-Stokes
sk
gPt
nF
Fvvvv
=
+++=+
2
:: liquid phase :: interface :: gas phase
1=
0=10
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( ) dSdSdVdtd
SSV ++ nvnv r 1
( )( ) ff S nvr1( ) ff Snvf Sf
Sf
vn
( ) ( )( ) 01 =++
rtvv
program
interFoam (VOF)
MULESflux
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( )( ) ff S nvr1
f
ff
f
fff S
Su
S
SuCn max,min
OpenFOAM
nfv =( ) f
( ) f +N3/1
8
)/(0.1
=
Ni
N NVe
(nfv)
ffvf Snn =
:,:
interFoam (VOF)
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Navier-Stokes
vt+v v = P +2v +F + g
:: liquid phase :: interface :: gas phase
1=
0=10
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S-CLSVOF Navier-Stokes
vt+v v = P +2v +F + g
:: liquid phase :: interface :: gas phase
1=
0=10
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S-CLSVOF Navier-Stokes
vt+v v = P +2v +F + g
:: liquid phase :: interface :: gas phase
1=
0=10
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Laplace
A. Albadawi et al.(2013)Laplacep ((p.8))
p = 1R+1R '
!
"#
$
%&
p = p0in p
out p0in
pout
M. M. Francois et al., J. Comput. Phys., 213, 141-173 (2006).
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Laplace
pexact = 1R+1R '
!
"#
$
%&= 2
p = p0in p
out
p0in
pout
DX = 0.001 m (Fine) = 0.0005 m (Coarse)
0.05 m
0.05 m
0.01 m
0.01 N/m
g 1 kg/m3 g 10-5 kg/(ms) l 1000 kg/m3 l 10-3 kg/(ms)
gas
liquid
0.1 sec. (t = 1x10-5 sec. (Coarse)) (t = 5x10-6 sec. (Fine))
E0
E0 =ppexactpexact
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Laplace
p = p0in p
out
p0in
pout
0.05 m
0.05 m
0.01 m
gas
liquid
E0
E0 =ppexactpexact
100
E0S-CLSVOF (F) 1.210S-CLSVOF (C) 0.1749
VOF (F) 19.29VOF (C) 25.23
()
pexact = 1R+1R '
!
"#
$
%&= 2
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S-CLSVOF S-CLSVOF Open()
CLSVOF LS