Modified ghost fluid method for three‐dimensional compressible multimaterial flows with interfaces exhibiting large curvature and topological change,International Journal for Numerical Methods in Fluids

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Modified ghost fluid method for three‐dimensional compressible multimaterial flows with interfaces exhibiting large curvature and topological change
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2020-04-27 , DOI: 10.1002/fld.4849
Liang Xu ₁ , Tiegang Liu ₂

Affiliation

In order to capture the material interface dynamics, especially under the impact of strong shocks, the key feature of the modified ghost fluid method (MGFM) is to construct a multimaterial Riemann problem normal to the interface and use its solution to define interface conditions. However, such process sometimes may not be easily or accurately implemented when the multidimensional interfaces come into contact or undergo significant deformations. In this article, a three‐dimensional interface treating procedure is developed for a wide range of compressible multimaterial flows. It utilizes the MGFM with an explicit approximate Riemann problem solver to define interface conditions. More importantly, a weighted average technique is designed to optimize the treatment for interfaces exhibiting large curvature and topological change. This remedies two defects of the traditional approach in these extreme cases. One is that the normal directions of interfacial ghost nodes may not be easily calculated. The other is that the interface conditions may not be accurately defined. The numerical methodology is validated through several typical problems, including gas‐liquid Riemann problem and shock‐bubble/droplet interaction. These results indicate that the developed method is capable of dealing with interfacial evolutions in three dimensions, especially when interfaces undergo merger, fragmentation, and other complex changes.

中文翻译：

界面具有大曲率和拓扑变化的三维可压缩多材料流的改进鬼流方法

为了捕获材料界面动力学，特别是在强烈冲击的情况下，改进的幻影流体方法（MGFM）的关键特征是构造一个垂直于界面的多材料黎曼问题，并使用其解决方案来定义界面条件。然而，当多维界面接触或经历显着变形时，有时可能不容易或准确地实施这种过程。在本文中，针对各种可压缩多材料流开发了三维界面处理程序。它利用MGFM和显式近似Riemann问题求解器来定义界面条件。更重要的是，设计了加权平均技术来优化对显示大曲率和拓扑变化的界面的处理。在这些极端情况下，这可以弥补传统方法的两个缺陷。一是界面重影节点的法线方向可能不容易计算。另一个是可能无法准确定义界面条件。数值方法通过几个典型问题得到了验证，包括气液黎曼问题和冲击气泡/液滴相互作用。这些结果表明，所开发的方法能够处理三个维度的界面演化，尤其是当界面经历合并，碎片化和其他复杂变化时。数值方法通过几个典型问题得到了验证，包括气液黎曼问题和冲击气泡/液滴相互作用。这些结果表明，所开发的方法能够处理三个维度的界面演化，尤其是当界面进行合并，分段和其他复杂变化时。数值方法通过几个典型问题得到了验证，包括气液黎曼问题和冲击气泡/液滴相互作用。这些结果表明，所开发的方法能够处理三个维度的界面演化，尤其是当界面经历合并，碎片化和其他复杂变化时。

更新日期：2020-04-27

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