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

Handle URI:
http://hdl.handle.net/10754/621174
Title:
Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids
Authors:
Shen, Hua; Wen, Chih-Yung; Parsani, Matteo ( 0000-0001-7300-1280 ) ; Shu, Chi-Wang
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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Extreme Computing Research Center
Citation:
Shen 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.
Publisher:
Elsevier BV
Journal:
Journal of Computational Physics
Issue Date:
19-Oct-2016
DOI:
10.1016/j.jcp.2016.10.036
Type:
Article
ISSN:
0021-9991
Sponsors:
H. 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.
Additional Links:
http://www.sciencedirect.com/science/article/pii/S0021999116305344
Appears in Collections:
Articles; Extreme Computing Research Center; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorShen, Huaen
dc.contributor.authorWen, Chih-Yungen
dc.contributor.authorParsani, Matteoen
dc.contributor.authorShu, Chi-Wangen
dc.date.accessioned2016-10-24T13:46:31Z-
dc.date.available2016-10-24T13:46:31Z-
dc.date.issued2016-10-19en
dc.identifier.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.en
dc.identifier.issn0021-9991en
dc.identifier.doi10.1016/j.jcp.2016.10.036en
dc.identifier.urihttp://hdl.handle.net/10754/621174-
dc.description.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.en
dc.description.sponsorshipH. 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.en
dc.publisherElsevier BVen
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0021999116305344en
dc.rights© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 licenseen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectmaximum-principle-satisfying schemeen
dc.subjectspace-time conservation element and solution element (CE/SE) methoden
dc.subjectupwind schemeen
dc.subjectcompressible multifluidsen
dc.subjectfive-equation modelen
dc.titleMaximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluidsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentExtreme Computing Research Centeren
dc.identifier.journalJournal of Computational Physicsen
dc.eprint.versionPost-printen
dc.contributor.institutionThe Hong Kong Polytechnic University, Department of Mechanical Engineering, Kowloon, Hong Kong SARen
dc.contributor.institutionBrown University, Division of Applied Mathematics, Providence, RI 02912, USAen
kaust.authorShen, Huaen
kaust.authorParsani, Matteoen
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