The ghost fluid method for compressible gas-water simulation
The ghost fluid method for compressible gas-water simulation
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DOI：
10.1016/j.jcp.2004.10.012
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发表时间：
2005-03
影响因子：
4.1
通讯作者：
T. Liu;B. Khoo;C. Wang
中科院分区：
文献类型：
--
作者：
T. Liu;B. Khoo;C. Wang
分析了基于GFM算法的气水Riemann问题，将气水Riemann问题归结为两个单介质GFM Riemann问题。研究发现，这两个GFM黎曼问题不能提供正确和一致的黎曼波在各自的真实的流体可能导致不准确的数值结果。基于这一发现，两个条件的建议和强加的鬼流体的状态，以确保正确和一致的黎曼波提供相应的真实的流体在数值分解的奇异性。使用这两个条件来分析一些现有的基于GFM的算法，如原始GFM [J. Comput. 152（1999）457]、新版本GFM [J. Comput. 166（2001）1; J. Comput. 175（2002）200]和修改的GFM（MGFM）[J. Comput. Phys.190（2003）651]中，发现对于每种类型的溶液存在各种条件，其中原始GFM或新版本GFM或两者都不能在真实的流体之一中提供正确或一致的黎曼波。在这些范围内，可以找到原始GFM或新版本GFM或两者都不能提供准确结果的示例。MGFM也发现遇到困难时，适用于近空化流。各种例子来证明所得到的结论。MGFM与建议的修改时，适用于近空化流，然后发现是相当强大的，可以提供相对合理的结果。
An analysis is carried out for the ghost fluid method (GFM) based algorithm as applied to the gas–water Riemann problems, which can be construed as two single-medium GFM Riemann problems. It is found that the inability to provide correct and consistent Riemann waves in the respective real fluids by these two GFM Riemann problems may lead to inaccurate numerical results. Based on this finding, two conditions are suggested and imposed for the ghost fluid status in order to ensure that correct and consistent Riemann waves are provided in the respective real fluids during the numerical decomposition of the singularity. Using these two conditions to analyse some of the existing GFM-based algorithms such as the original GFM [J. Comput. Phys. 152 (1999) 457], the new version GFM [J. Comput. Phys. 166 (2001) 1; J. Comput. Phys. 175 (2002) 200] and the modified GFM (MGFM) [J. Comput. Phys. 190 (2003) 651], it is found that there are ranges of conditions for each type of solution where either the original GFM or the new version GFM or both are unable to provide correct or consistent Riemann waves in one of the real fluids. Within these ranges, examples can be found such that either the original GFM or the new version GFM or both are unable to provide accurate results. The MGFM is also found to encounter difficulties when applied to nearly cavitating flow. Various examples are presented to demonstrate the conclusions obtained. The MGFM with proposed modification when applied to nearly cavitating flow is then found to be quite robust and can provide relatively reasonable results.