Simulation of Drop Oscillation Using the Lattice Boltzmann Method

We simulate the oscillation of the viscous drop in the viscous liquid. We combine methods of chromodynamics model and Shan-Chen pseudo-potential for the immiscible fluids. We measure the frequency of the first nontrivial eigenmode using the initial ellipsoid form of the drop. Drop oscillates about t...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2020-06, Vol.41 (6), p.992-995
Main Authors: Guskova, M., Shchur, V., Shchur, L.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Computational fluid dynamics
Computer simulation
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
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Summary:We simulate the oscillation of the viscous drop in the viscous liquid. We combine methods of chromodynamics model and Shan-Chen pseudo-potential for the immiscible fluids. We measure the frequency of the first nontrivial eigenmode using the initial ellipsoid form of the drop. Drop oscillates about the equilibrium spherical form of radius . Computed frequency as a function of the radius follows to the well known Rayleigh formula. We discuss the simulation setup in the framework of the Lattice Boltzmann method.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080220060104