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A Nonlinear Flux Split Method for Hyperbolic Conservation Laws

✍ Scribed by Youssef Stiriba

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 266 KB
Volume: 176
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.2001.6959

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✦ Synopsis

We present and analyze the performance of a nonlinear, upwind flux split method for approximating solutions of hyperbolic conservation laws. The method is based on a new version of the single-state-approximate Riemann solver devised by Harten, Lax, and van Leer (HLL) and implemented by Einfeldt. It makes use of two-sided local characteristic variables to reduce the dissipation of HLL by introducing the flavor of HLL into the Steger-Warming flux vector splitting scheme. We use the characteristic decomposition and the method-of-lines approach to construct high-order versions of the first-order scheme and demonstrate their efficiency and robustness in several numerical tests.

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