The lattice Boltzmann equations (LBE) method (LBM) is applicable for simulating the multiphysics problems of fluid flows with free boundaries, taking into account the viscosity, surface tension, evaporation and wetting degree of a solid surface. Modeling of the nonstationary motion of a drop of liquid along a solid surface with a variable level of wettability is carried out. For the computer simulation of such a problem, the three-dimensional lattice Boltzmann equations method D3Q19 is used. The LBE method allows us to parallelize the calculations on multiprocessor graphics accelerators using the CUDA programming technology.
REFERENCES
1.
G. R.
McNamara
and G.
Zanetti
, Physical Review Letters
61
(20
), 2332
–2335
(1988
).2.
F. J.
Higuera
and J.
Jiménez
, Europhys. Letters
9
(7
), 663
–668
(1989
).3.
A. L.
Kupershtokh
, Novosibirsk State University Bulletin, Series: Math., Mech. and Informatics
5
(3
), 29
–42
(2005
). (in Russian).4.
A. L.
Kupershtokh
, D. A.
Medvedev
and D. I.
Karpov
, Computers and Mathematics with Applications
58
(5
), 965
–974
(2009
).5.
A. L.
Kupershtokh
, Numerical Methods and Programming
, 13
, 130
–138
(2012
). (in Russian).6.
A. L.
Kupershtokh
, “New method of incorporating a body force term into the lattice Boltzmann equation
,” Proc. 5th International EHD Workshop
(University of Poitiers
, Poitiers, France
, 2004
), pp. 241
–246
.7.
A. L.
Kupershtokh
, Novosibirsk State University Bulletin, Series: Math., Mech. and Informatics
4
(2
), 75
–96
(2004
). (in Russian).8.
A. L.
Kupershtokh
, Computers and Mathematics with Applications
59
(7
), 2236
–2245
(2010
).9.
Y. H.
Qian
, D.
d’Humières
and P.
Lallemand
, Europhys. Letters
17
, 479
–484
(1992
).10.
J. M. V. A.
Koelman
, Europhys. Lett.
15
(6
), 603
–607
(1991
).11.
I.
Ginzburg
, P. M.
Adler
, J. Phys. II France
4
(2
), 191
–214
(1994
).12.
Y. H.
Qian
and S.
Chen
, Int. J. Modern Physics C
8
(4
), 763
–771
(1997
).13.
X.
Shan
, H.
Chen
, Physical Review E
47
(3
), 1815
–1819
(1993
).14.
A. L.
Kupershtokh
, E. V.
Ermanyuk
and N. V.
Gavrilov
, Communications in Computational Physics
17
, 1301
–1319
(2015
).15.
A. L.
Kupershtokh
, MATEC Web of Conferences
84
, 00018
(2016
).
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