Interface Capturing Method Based on the Cahn-Hilliard Equation for Two-Phase Flows
Interface Capturing Method Based on the Cahn-Hilliard Equation for Two-Phase Flows
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DOI：
10.1134/s0965542520030124
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发表时间：
2020-03-01
影响因子：
0.7
通讯作者：
Zhang, C.
中科院分区：
文献类型：
--
作者：
Menshov, I. S.;Zhang, C.
本文研究了一种非均匀两相可压缩介质流动的数值方法。在这种方法的建设中的主要问题是找到不同的物理和机械性能的组件之间的接口。提出了一种有效的方法来解决这个问题，给出了一个良好的空间分辨率的接口。该方法基于Cahn-Hilliard方程的使用。为了描述两相介质的流动，使用单速度五方程模型，在该模型中，Cahn-Hilliard方程用作阶函数的方程。这使得有可能显着减少域的界面数值拖尾。数值结果表明了该方法的高精度和有效性。
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.