A Kinetic Method for Hyperbolic-Elliptic Equations and Its Application in Two-Phase Flow
A Kinetic Method for Hyperbolic-Elliptic Equations and Its Application in Two-Phase Flow
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DOI：
10.1006/jcph.2000.6663
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发表时间：
2001-01
影响因子：
4.1
通讯作者：
K. Xu
中科院分区：
文献类型：
--
作者：
K. Xu
摘要本文提出了求解双曲椭圆方程的一种动力学方法。在混合型体系中，液气共存及其相变由范德华状态方程（EOS）描述。由于流体在椭圆区是不稳定的，因此可以通过冷凝和蒸发过程自然地捕获液气界面，从而不断地将任何“平均”数值流体从界面处的椭圆区移除。通过数值扩散与相变的竞争，可以构造出一个清晰的液气界面。文中给出的数值例子既包括相变问题，也包括多流体界面问题。
Abstract A kinetic method for hyperbolic–elliptic equations is presented in this paper. In the mixed type system, the coexistence of liquid and gas and the phase transition between them are described by the van der Waals-type equation of state (EOS). Because the fluid is unstable in the elliptic region, the interface between liquid and gas can be captured naturally through condensation and evaporation processes, which continuously remove any “averaged” numerical fluid away from the elliptic region at the interfaces. As a result, a sharp liquid–gas interface can be constructed from the competition between the numerical diffusion and phase transition. The numerical examples presented in this paper include both phase transition and multifluid interface problems.