On two deficiencies of the AUFS scheme for Euler flows and possible fixes

On two deficiencies of the AUFS scheme for Euler flows and possible fixes
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关于欧拉流AUFS方案的两个缺陷和可能的修复

DOI:
10.1002/zamm.201300184
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发表时间:
2015
期刊:
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
影响因子:
--
通讯作者:
Friedemann Kemm
Friedemann Kemm
中科院分区:
--
文献类型:
--
作者:
Friedemann Kemm

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Sun和Takayama提出的AUFS格式是一种通量分裂格式,它不破坏离散激波剖面(通常称为carbuncle),但仍具有很好的熵波分辨率。不幸的是,数值试验与该计划的产量,熵波的粘性太小,而剪切波的粘性太大。在本文中,我们证明了这两个缺陷是固有的建设计划,并提供修复,以克服它们。
The AUFS scheme by Sun and Takayama is a flux splitting scheme without breakdown of discrete shock profiles, usually called carbuncle, but still with a good resolution of entropy waves. Unfortunately, numerical tests with this scheme yield that the viscosity on entropy waves is too small while the viscosity on shear waves is too large. In this paper, we prove that both deficiencies are inherent to the construction of the scheme and provide fixes to overcome them.
DOI: 10.1016/j.compfluid.2012.08.023
发表时间: 2012-11
期刊: Computers & Fluids
影响因子: 2.8
作者:
E. Toro;M. Vázquez-Cendón
通讯作者: E. Toro;M. Vázquez-Cendón
欧拉方程的无卡宾罗伊型求解器
DOI: --
发表时间: 2008
期刊:
影响因子: --
作者:
F. Kemm
通讯作者: F. Kemm