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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 |
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 |
| Appears in Collections: | Journal/Magazine Article |
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| Wen_Maximum-Principle-Satisfying_Space-Time_Conservation.pdf | Pre-Published version | 3.26 MB | Adobe PDF | View/Open |
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