Year: 1999
Author: Hua-Zhong Tang, Ning Zhao
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 4 : pp. 369–378
Abstract
In this paper, following the paper [7], we analyze the "sharp" estimate of the rate of entropy dissipation of the fully discrete MUSCL type Godunov schemes by the general compact theory introduced by Coquel-LeFloch [1, 2], and find: because of small viscosity of the above schemes, in the vicinity of shock wave, the estimate of the above schemes is more easily obtained, but for rarefaction wave, we must impose a "sharp" condition on limiter function in order to keep its entropy dissipation and its convergence.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1999-JCM-9109
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 4 : pp. 369–378
Published online: 1999-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Hyperbolic conservation laws MUSCL type godunov schemes Entropy dissipation shock wave Rarefaction wave.