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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:330

Article

Shen, Hua¹  Wen, Chih-Yung²  Parsani, Matteo¹  Shu, Chi-Wang³ 

[1] King Abdullah Univ Sci & Technol, Comp Elect & Math Sci & Engn Div CEMSE, Extreme Comp Res Ctr, Thuwal, Saudi Arabia

[2] Hong Kong Polytech Univ, Dept Mech Engn, Kowloon, Hong Kong, Peoples R China

[3] Brown Univ, Div Appl Math, Providence, RI 02912 USA

关键词: Maximum-principle-satisfying scheme;    Space-time conservation element and solution element (CE/SE) method;    Upwind scheme;    Compressible multifluids;    Five-equation model;   

DOI  :  10.1016/j.jcp.2016.10.036

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier Inc. All rights reserved.

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