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Hyperbolic Systems of Conservation Laws with a Strict Riemann Invariant

โœ Scribed by M. Sever

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
807 KB
Volume
122
Category
Article
ISSN
0022-0396

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โœฆ Synopsis

Nonlinear, hyperbolic systems of conservation laws such as the Euler equations of fluid dynamics admit a strict Riemann invariant, e.g. the physical entropy. Here we discuss the structure of such systems, emphasizing the effects of changes of variables, the existence of equivalent symmetric systems, and entropy conditions for discontinuities in the form of entropy inequalities. 1995 Academic Press. Inc.

๐Ÿ“œ SIMILAR VOLUMES

A Simple Riemann Solver and High-Order G
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โœ Wenlong Dai; Paul R. Woodward ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 517 KB

A simple approximate Riemann solver for hyperbolic systems of conservation laws is developed for its use in Godunov schemes. The solver is based on characteristic formulations and is illustrated through Euler and ideal magnetohydrodynamical (MHD) equations. The procedure of a high-order Godunov sche