Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids
KAUST DepartmentApplied Mathematics and Computational Science Program
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Extreme Computing Research Center
Online Publication Date2016-10-20
Print Publication Date2017-02
Permanent link to this recordhttp://hdl.handle.net/10754/621174
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AbstractA 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.
CitationShen H, Wen C-Y, Parsani M, Shu C-W (2016) Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids. Journal of Computational Physics. Available: http://dx.doi.org/10.1016/j.jcp.2016.10.036.
SponsorsH. Shen and C. Y. Wen were supported by NSFC grant 11372265 and the opening project of the State Key Laboratory of Explosion Science and Technology (Beijing Institute of Technology) grant KFJJ15-09M. C.-W. Shu was supported by ARO grant W911NF-15-1-0226 and NSF grant DMS-1418750. For computer time, this research used the resources of the Extreme Computing Research Center at King Abdullah University of Science & Technology (KAUST) in Thuwal, Saudi Arabia.
JournalJournal of Computational Physics
Except where otherwise noted, this item's license is described as © 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license