Central unstaggered finite volume schemes for hyperbolic systems

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dc.contributor.author Touma, R.
dc.date.accessioned 2016-04-07T09:46:03Z
dc.date.available 2016-04-07T09:46:03Z
dc.date.copyright 2009
dc.date.issued 2016-04-07
dc.identifier.issn 0096-3003 en_US
dc.identifier.uri http://hdl.handle.net/10725/3512
dc.description.abstract A class of central unstaggered finite volume methods for approximating solutions of hyperbolic systems of conservation laws is developed in this paper. The proposed method is an extension of the central, non-oscillatory, finite volume method of Nessyahu and Tadmor (NT). In contrast with the original NT scheme, the method we develop evolves the numerical solution on a single grid; however ghost cells are implicitly used to avoid the resolution of the Riemann problems arising at the cell interfaces. We apply our method and solve classical one and two-dimensional unsteady shallow water problems. Our numerical results compare very well with those obtained using the original NT method, and are in good agreement with corresponding results appearing in the recent literature, thus confirming the efficiency and the potential of the proposed method. en_US
dc.language.iso en en_US
dc.title Central unstaggered finite volume schemes for hyperbolic systems en_US
dc.type Article en_US
dc.description.version Published en_US
dc.title.subtitle Applications to unsteady shallow water equations en_US
dc.author.school SAS en_US
dc.author.idnumber 200502835 en_US
dc.author.woa N/A en_US
dc.author.department Computer Science and Mathematics en_US
dc.description.embargo N/A en_US
dc.relation.journal Applied Mathematics and Computation en_US
dc.journal.volume 213 en_US
dc.journal.issue 1 en_US
dc.article.pages 47-59 en_US
dc.keywords Unstaggered central schemes en_US
dc.keywords Shallow water equations en_US
dc.keywords Source terms en_US
dc.keywords Non-oscillatory en_US
dc.keywords Limiters en_US
dc.keywords Finite volume methods en_US
dc.identifier.doi http://dx.doi.org/10.1016/j.amc.2009.02.059 en_US
dc.identifier.ctation Touma, R. (2009). Central unstaggered finite volume schemes for hyperbolic systems: Applications to unsteady shallow water equations. Applied Mathematics and Computation, 213(1), 47-59. en_US

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