Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/64587
Title: Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids
Authors: Shen, H
Wen, CY 
Parsani, M
Shu, CW
Keywords: Maximum-principle-satisfying scheme
Space-time conservation element and solution element (CE/SE) method
Upwind scheme
Compressible multifluids
Five-equation model
Issue Date: 2017
Publisher: Academic Press
Source: Journal of computational physics, 2017, v. 330, p. 668-692 How to cite?
Journal: Journal of computational physics 
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.
URI: http://hdl.handle.net/10397/64587
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2016.10.036
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