A Note on Harten’s Entropy Enforcement Condition

Ran Zheng

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A Note on Harten’s Entropy Enforcement Condition

Ran Zheng * #

Shanghai Institute of Applied Mathematics and Mechanics

*Correspondence author

#Submitted by

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Funding: 国家自然科学基金（No.10272018）

Opened online: 9 January 2006

Accepted by: none

Citation: Ran Zheng.A Note on Harten’s Entropy Enforcement Condition[OL]. [ 9 January 2006] http://en.paper.edu.cn/en_releasepaper/content/4904

The theme of this paper is to understand the nonlinear stability properties of Harten’s TVD scheme from the point views of symmetry inherent in the PDE. Especial attentions are paid to Harten’s entropy enforcement condition. In this paper, we show that Harten’s entropy enforcement condition is consistent with the group invariant conditions.

Keywords:TVD scheme; symmetry; shock capturing method

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