MUSCL Type Schemes and Discrete Entropy Conditions

MUSCL Type Schemes and Discrete Entropy Conditions

Year:    1997

Journal of Computational Mathematics, Vol. 15 (1997), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1997-JCM-9190

Journal of Computational Mathematics, Vol. 15 (1997), Iss. 1 : pp. 72–80

Published online:    1997-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords: