Journal
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 20, Issue 11, Pages 2109-2166Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021820251000488X
Keywords
Hyperbolic systems of conservation laws; source term; equilibrium; asymptotic behavior; Riemann solver; consistency; relaxation scheme
Categories
Funding
- CEA-Saclay
- University Pierre et Marie Curie-Paris 6
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Well-balanced or asymptotic preserving schemes are receiving an increasing amount of interest. This paper gives a precise setting for studying both properties in the case of Euler system with friction. We derive a simple solver which, by construction, preserves discrete equilibria and reproduces at the discrete level the same asymptotic behavior as that of the solutions of the continuous system. Numerical illustrations are convincing and show that not all methods share these properties.
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