Modified ghost fluid method for three‐dimensional compressible multimaterial flows with interfaces exhibiting large curvature and topological change

Modified ghost fluid method for three‐dimensional compressible multimaterial flows with interfaces exhibiting large curvature and topological change
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具有大曲率和拓扑变化界面的三维可压缩多材料流的改进幻影流体法

DOI:
10.1002/fld.4849
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发表时间:
2020-05
影响因子:
1.8
通讯作者:
Tiegang Liu
Tiegang Liu
中科院分区:
工程技术4区
文献类型:
--
作者:
Liang Xu;Tiegang Liu

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为了捕获材料界面动力学,特别是在强冲击的影响下,改进幽灵流体法(MGFM)的关键特征是构造垂直于界面的多材料黎曼问题,并使用其解来定义界面条件。然而,当多维界面接触或经历显着变形时,这种过程有时可能不容易或准确地实现。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 和显式近似黎曼问题求解器来定义界面条件。更重要的是,加权平均技术旨在优化对表现出大曲率和拓扑变化的界面的处理。这弥补了传统方法在这些极端情况下的两个缺陷。一是界面鬼节点的法线方向可能不容易计算。另一个是接口条件可能无法准确定义。数值方法通过几个典型问题进行了验证,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,特别是当界面经历合并、分裂和其他复杂变化时。
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.
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