Well-balanced central schemes for systems of shallow water equations with wet and dry states

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dc.contributor.author Touma, R.
dc.date.accessioned 2018-09-07T10:03:59Z
dc.date.available 2018-09-07T10:03:59Z
dc.date.copyright 2016 en_US
dc.date.issued 2018-09-07
dc.identifier.issn 1873-5460 en_US
dc.identifier.uri http://hdl.handle.net/10725/8438
dc.description.abstract In this paper we propose a new well-balanced unstaggered central finite volume scheme for the shallow water equations on variable bottom topographies, with wet and dry states. Based on a special piecewise linear reconstruction of the cell-centered numerical solution and a careful discretization of the system of partial differential equations, the proposed numerical scheme ensures both a well-balanced discretization and the positivity requirement of the water height component. More precisely, the well-balanced requirement is fulfilled by following the surface gradient method, while the positivity requirement of the computed water height component is ensured by following a new technique specially designed for the unstaggered central schemes. The developed scheme is then validated and classical shallow water equation problems on variable bottom topographies with wet and dry states are successfully solved. The reported numerical results confirm the potential and efficiency of the proposed method en_US
dc.language.iso en en_US
dc.title Well-balanced central schemes for systems of shallow water equations with wet and dry states en_US
dc.type Article en_US
dc.description.version Published en_US
dc.author.school SAS en_US
dc.author.idnumber 200502835 en_US
dc.author.department Computer Science and Mathematics en_US
dc.description.embargo N/A en_US
dc.relation.journal Applied Mathematical Modelling en_US
dc.journal.volume 40 en_US
dc.journal.issue 4 en_US
dc.article.pages 2929-2945 en_US
dc.keywords Unstaggered central schemes en_US
dc.keywords Well-balanced schemes en_US
dc.keywords Shallow water equations en_US
dc.keywords Surface gradient method en_US
dc.keywords Wetting and drying en_US
dc.keywords Positivity preserving schemes en_US
dc.identifier.doi https://doi.org/10.1016/j.apm.2015.09.073 en_US
dc.identifier.ctation Touma, R. (2016). Well-balanced central schemes for systems of shallow water equations with wet and dry states. Applied Mathematical Modelling, 40(4), 2929-2945. en_US
dc.author.email rony.touma@lau.edu.lb en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php en_US
dc.identifier.url https://www.sciencedirect.com/science/article/pii/S0307904X15006071 en_US
dc.author.affiliation Lebanese American University en_US

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