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Volume 15, Issue 1
MUSCL Type Schemes and Discrete Entropy Conditions

N. Zhao & H. M. Wu

J. Comp. Math., 15 (1997), pp. 72-80.

Published online: 1997-02

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  • Abstract

In this paper, the semi-discrete entropy conditions with so called the proper discrete entropy flux of a class of high resolution MUSCL type schemes are discussed for genuinely nonlinear scalar conservation laws. It is shown that the high resolution schemes satisfying such semi-discrete entropy conditions cannot preserve second order accuracy in the rarefaction region.

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@Article{JCM-15-72, author = {N. Zhao and H. M. Wu}, title = {MUSCL Type Schemes and Discrete Entropy Conditions}, journal = {Journal of Computational Mathematics}, year = {1997}, volume = {15}, number = {1}, pages = {72--80}, abstract = {

In this paper, the semi-discrete entropy conditions with so called the proper discrete entropy flux of a class of high resolution MUSCL type schemes are discussed for genuinely nonlinear scalar conservation laws. It is shown that the high resolution schemes satisfying such semi-discrete entropy conditions cannot preserve second order accuracy in the rarefaction region.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9190.html} }
TY - JOUR T1 - MUSCL Type Schemes and Discrete Entropy Conditions AU - N. Zhao & H. M. Wu JO - Journal of Computational Mathematics VL - 1 SP - 72 EP - 80 PY - 1997 DA - 1997/02 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9190.html KW - AB -

In this paper, the semi-discrete entropy conditions with so called the proper discrete entropy flux of a class of high resolution MUSCL type schemes are discussed for genuinely nonlinear scalar conservation laws. It is shown that the high resolution schemes satisfying such semi-discrete entropy conditions cannot preserve second order accuracy in the rarefaction region.

N. Zhao and H. M. Wu. (1997). MUSCL Type Schemes and Discrete Entropy Conditions. Journal of Computational Mathematics. 15 (1). 72-80. doi:
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