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dc.contributor.authorDia, Ben Mansour
dc.contributor.authorOppelstrup, Jesper
dc.date.accessioned2018-04-16T11:27:44Z
dc.date.available2018-04-16T11:27:44Z
dc.date.issued2018-03-27
dc.identifier.citationDia BM, Oppelstrup J (2018) Stabilizing local boundary conditions for two-dimensional shallow water equations. Advances in Mechanical Engineering 10: 168781401772695. Available: http://dx.doi.org/10.1177/1687814017726953.
dc.identifier.issn1687-8140
dc.identifier.issn1687-8140
dc.identifier.doi10.1177/1687814017726953
dc.identifier.urihttp://hdl.handle.net/10754/627540
dc.description.abstractIn this article, we present a sub-critical two-dimensional shallow water flow regulation. From the energy estimate of a set of one-dimensional boundary stabilization problems, we obtain a set of polynomial equations with respect to the boundary values as a requirement for the energy decrease. Using the Riemann invariant analysis, we build stabilizing local boundary conditions that guarantee the stability of the hydrodynamical state around a given steady state. Numerical results for the controller applied to the nonlinear problem demonstrate the performance of the method.
dc.description.sponsorshipThe author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This paper is funded by King Fahd University of Petroleum and Minerals (KFUPM).
dc.publisherSAGE Publications
dc.relation.urlhttp://journals.sagepub.com/doi/10.1177/1687814017726953
dc.rightsThis article is distributed under the terms of the Creative Commons Attribution 4.0 License (http://www.creativecommons.org/licenses/by/4.0/) which permits any use, reproduction and distribution of the work without further permission provided the original work is attributed as specified on the SAGE and Open Access pages (https://us.sagepub.com/en-us/nam/open-access-at-sage).
dc.rights.urihttp://www.creativecommons.org/licenses/by/4.0/
dc.subjectboundary control
dc.subjectRiemann invariants
dc.subjectShallow water flow
dc.titleStabilizing local boundary conditions for two-dimensional shallow water equations
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalAdvances in Mechanical Engineering
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionCIPR, College of Petroleum Engineering and Geosciences, King Fahd University of Petroleum and Minerals (KFUPM), Saudi Arabia
dc.contributor.institutionDepartment of Mathematics, KTH Royal Institute of Technology, Stockholm, Sweden
kaust.personDia, Ben Mansour
refterms.dateFOA2018-06-14T04:23:57Z
dc.date.published-online2018-03-27
dc.date.published-print2018-03


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This article is distributed under the terms of the Creative Commons Attribution 4.0 License (http://www.creativecommons.org/licenses/by/4.0/) which permits any use, reproduction and distribution of the work without further permission provided the original work is attributed as specified on the SAGE and Open Access pages (https://us.sagepub.com/en-us/nam/open-access-at-sage).
Except where otherwise noted, this item's license is described as This article is distributed under the terms of the Creative Commons Attribution 4.0 License (http://www.creativecommons.org/licenses/by/4.0/) which permits any use, reproduction and distribution of the work without further permission provided the original work is attributed as specified on the SAGE and Open Access pages (https://us.sagepub.com/en-us/nam/open-access-at-sage).