Discontinuous Galerkin formulation for 2D hydrodynamic modelling: Trade-offs between theoretical complexity and practical convenience

In the modelling of hydrodynamics, the Discontinuous Galerkin (DG) approach constitutes a more complex and modern alternative to the well-established finite volume method. The latter retains some desired practical features for modelling hydrodynamics, such as well-balancing between spatial flux and...

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Veröffentlicht in:	Computer methods in applied mechanics and engineering 2018-12, Vol.342, p.710-741
Hauptverfasser:	Kesserwani, Georges, Ayog, Janice Lynn, Bau, Domenico
Format:	Artikel
Sprache:	eng
Schlagworte:	Basis functions Cartesian coordinates Coefficients Comparison and verification Complexity Computational fluid dynamics Computer simulation Drying Finite volume method Fluid flow Fluid mechanics Galerkin method Hydrodynamics Interdependence Mathematical models Modal discontinuous Galerkin Quadrilateral elements Quadrilaterals Second-order formulations Shallow water equations Topography Two dimensional models Well-balancedness Wetting Wetting and drying
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