Abstract

A numerical method for flows of heterogeneous two-phase compressible media is considered. The main problem in the construction of such a method is to find the interface between the components with different physical and mechanical properties. An efficient method for solving this problem that gives a good spatial resolution of the interfaces is proposed. This method is based on the use of the Cahn–Hilliard equation. To describe the flow of the two-phase medium, the single-velocity five-equation model is used; in this model, the Cahn–Hilliard equation is used as the equation for the order function. This makes it possible to significantly decrease the domain of the interface numerical smearing. Numerical results confirm the high accuracy and effectiveness of the proposed method.

中文翻译：

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基于Cahn-Hilliard方程的两相流界面捕获方法

摘要

考虑了一种非均质两相可压缩介质流动的数值方法。这种方法的构造中的主要问题是在具有不同物理和机械特性的部件之间找到界面。提出了一种解决此问题的有效方法，该方法可提供良好的界面空间分辨率。该方法基于Cahn–Hilliard方程的使用。为了描述两相介质的流动，使用了单速五方程模型。在该模型中，Cahn–Hilliard方程用作阶函数的方程。这使得可以显着减小界面数值拖尾的范围。数值结果证实了该方法的高精度和有效性。