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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
Issue Date: 1-Feb-2017
Source: Journal of computational physics, 1 Feb. 2017, v. 330, p. 668-692
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.
Keywords: Maximum-principle-satisfying scheme
Space-time conservation element and solution element (CE/SE) method
Upwind scheme
Compressible multifluids
Five-equation model
Publisher: Academic Press
Journal: Journal of computational physics 
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2016.10.036
Rights: © 2016 Elsevier Inc. All rights reserved.
©2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/
The following publication Shen, H., Wen, C. Y., Parsani, M., & Shu, C. W. (2017). Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids. Journal of Computational Physics, 330, 668-692 is available at https://doi.org/10.1016/j.jcp.2016.10.036
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