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Regular version of the site

Article

Simulation of drop oscillation using the lattice Boltzmann method

Lobachevskii Journal of Mathematics. 2020. Vol. 41. No. 6. P. 992-995.
Guskova M., Shchur V., Shchur L.

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 $R$. Computed frequency as a function of the radius $R$ follows to the well known Rayleigh formula. We discuss the simulation setup in the framework of the Lattice Boltzmann method.