An Efficient Ghost Fluid Method to remove overheating from material interfaces in compressible multi-medium flows
An Efficient Ghost Fluid Method to remove overheating from material interfaces in compressible multi-medium flows
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DOI：
10.1016/j.compfluid.2021.105250
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发表时间：
2021-11
影响因子：
2.8
通讯作者：
Pedram Bigdelou;Chen Liu;P. Tarey;P. Ramaprabhu
中科院分区：
文献类型：
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作者：
Pedram Bigdelou;Chen Liu;P. Tarey;P. Ramaprabhu
鬼流体方法（GFM）及其衍生物代表了可压缩，多介质流动的数值模拟中的强大技术，但仍然受到所谓的过热误差和附近的材料界面。这些误差以局部过冲和下冲的形式出现，并导致数值解偏离精确解。过热误差通常通过等压修正（或等熵修正）来解决，其中在流体界面附近的单元处的值被校正以减少由过热引起的数值扩散。然而，这些方法并不能完全消除过热，并且界面附近的数值仍然不准确。在这篇文章中，我们提出了一个新版本的GFM称为高效鬼流体方法（EGFM）能够完全消除过热的错误，导致界面附近的高精度的解决方案。EGFM方法已在IMPACT中实现，IMPACT是一种多介质冲击物理代码，并已针对广泛的1D和2D测试用例进行了验证，包括表面张力问题。这些问题包括单介质和多介质激波管问题、各种激波界面相互作用和激波驱动的不稳定性。
The Ghost Fluid Method (GFM) and its derivatives represent powerful techniques in the numerical simulation of compressible, multi-medium flows, but are nonetheless afflicted by so-called overheating errors at and near material interfaces. These errors take the form of local overshoots and undershoots, and cause the numerical solution to deviate from the exact solution. Overheating errors are commonly addressed by an isobaric fix (or an isentropic fix), where the values at the cells next to the fluid interface are corrected to reduce the numerical diffusion stemming from overheating. These approaches however, do not completely remove overheating, and numerical inaccuracies persist near the interface. In this article, we propose a new version of the GFM called the Efficient Ghost Fluid Method (EGFM) capable of completely eliminating overheating errors, leading to highly accurate solutions near the interface. The EGFM approach has been implemented in IMPACT, a multi-medium, shock physics code, and has been validated against a wide range of 1D and 2D test cases, including problems with surface tension. These include single- as well as multi-medium shock tube problems, various shock-interface interactions, and shock-driven instabilities.