Heuristical and numerical considerations for the carbuncle phenomenon

Heuristical and numerical considerations for the carbuncle phenomenon
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DOI:
10.1016/j.amc.2017.09.014
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发表时间:
2015-07
期刊:
Appl. Math. Comput.
影响因子:
--
通讯作者:
F. Kemm
F. Kemm
中科院分区:
其他
文献类型:
--
作者:
F. Kemm

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在这项研究中,我们通过数值实验和启发式考虑来研究所谓的红玉现象。我们确定了红玉的两个主要来源:一维激波位置的不稳定性和剪切波上的低数值粘度。我们还描述了高阶如何稳定一维冲击位置,从而减少了红宝石。
In this study, we investigate the so called carbuncle phenomenon by means of numerical experiments and heuristic considerations. We identify two main sources for the carbuncle: instability of the 1d shock position and low numerical viscosity on shear waves. We also describe how higher order stabilizes the 1d shock position and, thus, reduces the carbuncle.