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

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• 作者：Hua Shen^a ; ^{hua.shen@kaust.edu.sa} ; Chih-Yung Wen^b ; ^{cywen@polyu.edu.hk} ; Matteo Parsani^a ; ^{matteo.parsani@kaust.edu.sa} ; Chi-Wang Shu^c ; ^{shu@dam.brown.edu}
• 关键词：Maximum-principle-satisfying scheme ; Space-time conservation element and solution element (CE/SE) method ; Upwind scheme ; Compressible multifluids ; Five-equation model
• 刊名：Journal of Computational Physics
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：330
• 期：Complete
• 页码：668-692
• 全文大小：6635 K
• 卷排序：330

文摘

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.