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

被引：5

作者：

Kemm, Friedemann ^{[1
]}

机构：

[1] Brandenburg Tech Univ Cottbus, Inst Appl Math & Sci Comp, D-03046 Cottbus, Germany

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2015年 / 95卷 / 09期

关键词：

Flux vector splitting; positivity of pressure; compressible flow; supersonic; contact and shear waves; carbuncle;

D O I：

10.1002/zamm.201300184

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：897 / 910

页数：14

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