Volume 17, Issue 4
A Estimate of the Rate of Entropy Dissipation of High Resolution MUSCL Type Godunov Schemes

Hua Zhong Tang & Ning Zhao

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J. Comp. Math., 17 (1999), pp. 369-378

Published online: 1999-08

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  • Abstract

In this paper, following Zhao N. & Wu H.M.'s paper(1995), we analysis the "sharp" estimate of the rate of entropy dissipatin of the fully discrete MUSCL type Godunov schemes by the general compact theory introduced by Coquel-LeFloch(1991,1993), 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.

  • Keywords

Hyperbolic conservation laws MUSCL type godunov schemes

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@Article{JCM-17-369, author = {}, title = {A Estimate of the Rate of Entropy Dissipation of High Resolution MUSCL Type Godunov Schemes}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {4}, pages = {369--378}, abstract = { In this paper, following Zhao N. & Wu H.M.'s paper(1995), we analysis the "sharp" estimate of the rate of entropy dissipatin of the fully discrete MUSCL type Godunov schemes by the general compact theory introduced by Coquel-LeFloch(1991,1993), 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. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9109.html} }
TY - JOUR T1 - A Estimate of the Rate of Entropy Dissipation of High Resolution MUSCL Type Godunov Schemes JO - Journal of Computational Mathematics VL - 4 SP - 369 EP - 378 PY - 1999 DA - 1999/08 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9109.html KW - Hyperbolic conservation laws KW - MUSCL type godunov schemes AB - In this paper, following Zhao N. & Wu H.M.'s paper(1995), we analysis the "sharp" estimate of the rate of entropy dissipatin of the fully discrete MUSCL type Godunov schemes by the general compact theory introduced by Coquel-LeFloch(1991,1993), 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.
Hua Zhong Tang & Ning Zhao. (1970). A Estimate of the Rate of Entropy Dissipation of High Resolution MUSCL Type Godunov Schemes. Journal of Computational Mathematics. 17 (4). 369-378. doi:
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