On the dissipation mechanism of Godunov-type schemes

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Dissipation mechanisms of Godunov-type schemes are presented in the framework of unified representation. The causes of inaccuracy at the contact discontinuity and the dissipation mechanism in the numerical mass flux of the HLLEM scheme are examined first. A "vacuum preserving property" is defined and the prominent role of the numerical signal speed involved with the rarefaction waves in the expanding region is analyzed. Through a linear perturbation analysis on the odd-even decoupling problem, necessary conditions for designing a shock stable scheme are discussed. As a result, an improved HLLE(HLLE+) scheme is proposed and its dissipation mechanism is analyzed. The diffusivity of the Godunov-type schemes is examined by two-dimensional hypersonic viscous flow. (C) 2003 Elsevier Science B.V. All rights reserved.
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Issue Date
2003-07
Language
English
Article Type
Article
Keywords

HYPERBOLIC CONSERVATION-LAWS; DIFFERENCE-SCHEMES

Citation

JOURNAL OF COMPUTATIONAL PHYSICS, v.188, no.2, pp.524 - 542

ISSN
0021-9991
URI
http://hdl.handle.net/10203/4898
Appears in Collection
AE-Journal Papers(저널논문)
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