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

Research output: Contribution to journalArticlepeer-review

19 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

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