High Resolution Schemes and Discrete Entropy Conditions for 2-D Linear Conservation Laws

High Resolution Schemes and Discrete Entropy Conditions for 2-D Linear Conservation Laws

Year:    1995

Journal of Computational Mathematics, Vol. 13 (1995), Iss. 3 : pp. 281–289

Abstract

In this paper, fully discrete entropy conditions of a class of high resolution schemes with the MmB property are discussed by using the theory of proper discrete entropy flux for the linear scalar conservation laws in two dimensions. The theoretical resluts show that the high resolution schemes satisfying fully discrete entropy conditions with proper discrete entropy flux cannot preserve second order accuracy in the case of two dimensions.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1995-JCM-9270

Journal of Computational Mathematics, Vol. 13 (1995), Iss. 3 : pp. 281–289

Published online:    1995-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords: