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

H. Shen, C.Y. Wen, M. Parsani, C.W. Shu
Journal of Computational Physics, (2016)

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

Keywords

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

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.

Code

DOI: org/10.1016/j.jcp.2016.10.036

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