Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids

Hua Shen, Chih-Yung Wen, Matteo Parsani, Chi-Wang Shu

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32 Scopus citations

Abstract

A maximum-principle-satisfying space-time conservation element and solution element (CE/SE) scheme is constructed to solve a reduced five-equation model coupled with the stiffened equation of state for compressible multifluids. We first derive a sufficient condition for CE/SE schemes to satisfy maximum-principle when solving a general conservation law. And then we introduce a slope limiter to ensure the sufficient condition which is applicative for both central and upwind CE/SE schemes. Finally, we implement the upwind maximum-principle-satisfying CE/SE scheme to solve the volume-fraction-based five-equation model for compressible multifluids. Several numerical examples are carried out to carefully examine the accuracy, efficiency, conservativeness and maximum-principle-satisfying property of the proposed approach.
Original languageEnglish (US)
Pages (from-to)668-692
Number of pages25
JournalJournal of Computational Physics
Volume330
DOIs
StatePublished - Oct 20 2016

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: H. Shen and C. Y. Wen were supported by NSFC grant 11372265 and the opening project of the State Key Laboratory of Explosion Science and Technology (Beijing Institute of Technology) grant KFJJ15-09M. C.-W. Shu was supported by ARO grant W911NF-15-1-0226 and NSF grant DMS-1418750. For computer time, this research used the resources of the Extreme Computing Research Center at King Abdullah University of Science & Technology (KAUST) in Thuwal, Saudi Arabia.

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