Abstract

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.

中文翻译：

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用Lattice Boltzmann方法模拟液滴振荡

摘要

我们模拟了粘性液体中粘性滴的振荡。我们将不混溶流体的色谱动力学模型方法和Shan-Chen伪势相结合。我们使用液滴的初始椭圆体形式来测量第一个非平凡本征模的频率。液滴围绕半径\（R \）的平衡球体形式振荡。计算的频率是半径\（R \）的函数，遵循众所周知的瑞利公式。我们讨论了在Lattice Boltzmann方法框架内的仿真设置。