Discontinuous Galerkin methods with nodal and hybrid modal/nodal triangular, quadrilateral, and polygonal elements for nonlinear shallow water flow

•We investigate the performance of high-order DG methods for the SWEs.•We examine the performance of triangular, quadrilateral, and polygonal DG elements.•We discuss aspects on obtaining a well-balanced property in high-order nodal DG.•High-order schemes outperform linear-element schemes in the cost...

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Veröffentlicht in:	Computer methods in applied mechanics and engineering 2014-03, Vol.270, p.113-149
Hauptverfasser:	Wirasaet, D., Kubatko, E.J., Michoski, C.E., Tanaka, S., Westerink, J.J., Dawson, C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Accuracy Computational cost Direct current Discontinuous Galerkin finite elements Galerkin methods Mathematical analysis Mathematical models Modal Nodal Nonlinearity Quadrilaterals Shallow water Shallow water equations Well-balanced
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