A numerical method for two-phase flow consisting of separate compressible and incompressible regions
A numerical method for two-phase flow consisting of separate compressible and incompressible regions
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DOI：
10.1006/jcph.2000.6624
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发表时间：
2000-10
影响因子：
4.1
通讯作者：
Rachel Caiden;Ronald Fedkiw;C. R. Anderson
中科院分区：
文献类型：
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作者：
Rachel Caiden;Ronald Fedkiw;C. R. Anderson
摘要 我们提出了一种模拟由单独的可压缩区域和不可压缩区域组成的两相流的数值方法。例如，当对燃料液滴的燃烧或冲击引起的液体混合进行数值模拟时，这一点很有趣。我们使用水平集方法来跟踪可压缩区域和不可压缩区域之间的界面，并使用幽灵流体法 (GFM) 在界面上创建准确的离散化。 GFM 在这里特别有效，因为界面上的方程数量和类型都不同。数值方法以二维空间维度呈现，并在一维和二维空间维度上提供数值示例，而三维扩展则很简单。
Abstract We propose a numerical method for modeling two-phase flow consisting of separate compressible and incompressible regions. This is of interest, for example, when the combustion of fuel droplets or the shock-induced mixing of liquids is numerically modeled. We use the level set method to track the interface between the compressible and incompressible regions, as well as the Ghost Fluid Method (GFM) to create accurate discretizations across the interface. The GFM is particularly effective here since the equations differ in both number and type across the interface. The numerical method is presented in two spatial dimensions with numerical examples in both one and two spatial dimensions, while three-dimensional extensions are straightforward.