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A well-balanced node-centered finite volume scheme for shallow water flows with wetting and drying

Nikolos Ioannis, Delis Anargyros

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URIhttp://purl.tuc.gr/dl/dias/FD75EB21-AEF4-4EEF-BE46-4BFEF3B6EB00-
Identifierhttps://www.researchgate.net/publication/253289073_A_Well-Balanced_Node-Centered_Finite_Volume_Scheme_for_Shallow_Water_Flows_with_Wetting_and_Drying-
Identifierhttps://doi.org/10.1063/1.3241359-
Languageen-
Extent4 pagesen
TitleA well-balanced node-centered finite volume scheme for shallow water flows with wetting and dryingen
CreatorNikolos Ioannisen
CreatorΝικολος Ιωαννηςel
CreatorDelis Anargyrosen
CreatorΔελης Αναργυροςel
Content SummaryWe present a conservative, node-centered finite-volume (FV) algorithm for triangular grids in order to simulal unsteady, two-dimensional, shallow-water flows over arbitrary topography with wetting and drying. The algorithm utilize Roe's approximate Riemann solver to compute the numerical fluxes, while second-order spatial accuracy is achieved with MUSCL reconstruction technique. The novel aspects of the algorithm include the extension to second order of the topography source term treatment and the wet/dry front treatment, within the node-centered FV formulation. The numerical scheme is validated against benchmark test cases and experimental data related to propagation and run-up of long waves. en
Type of ItemΠλήρης Δημοσίευση σε Συνέδριοel
Type of ItemConference Full Paperen
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-11-04-
Date of Publication2009-
SubjectAlgorithmsen
Bibliographic CitationA.I. Delis and I. K. Nikolos, "A well-balanced node-centered finite volume scheme for shallow water flows with wetting and drying," presented at International Conference of Numerical Analysis and Applied Mathematics 2009 (ICNAAM 2009), Rethymnon, Greece, 2009.en

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