A Discontinuous Galerkin Method for the Shallow Water Equations with Source Terms

By D. Schwanenberg, J. Kongeter. 2000

73 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/17a03c7ed53b73bab10831494deb924381fe025d

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In Computational Mechanics

Citations in the corpus

An adaptive discretization of shallow‐water equations based on discontinuous Galerkin methods (2006, methodology): “Schwanenberg and Kongeter [3] have developed a local DGM for SWEs where they use the Harten and Lax numerical ux [4].”
A triangular spectral/hp discontinuous Galerkin method for modelling 2D shallow water equations (2004, methodology): “The DG method has been applied to the SWE for simulating ows involving shocks, such as dam-break ows and oblique hydraulic jumps [12–14].”
A well‐balanced Runge–Kutta discontinuous Galerkin method for the shallow‐water equations with flooding and drying (2008, methodology): “Significant progress in the application of DG methods to the SWE has been achieved in the last few years for various applications, like dam break problems and flows in channels [18, 19, 20, 21, 22, 23, 24], harbor wave disturbances and tidal flows [21, 25, 26, 27], flooding and drying [22], or geoph”
A Survey of High Order Schemes for the Shallow Water Equations (2014, background): “Several advantages of the DGmethod, including its high order accuracy, high parallel efficiency, flexibility for hp-adaptivity and arbitrary geometry and meshes, make it suited for the SWEs, see [16, 19, 23, 38, 51].”
A wetting and drying treatment for the Runge-Kutta discontinuous Galerkin solution to the shallow water equations (2009, background): “…States c University of Notre Dame, Notre Dame, IN 46556, United States d The University of Texas at Austin, Austin, TX 78712, United States a r t i c l e i n f o Article history: Received 31 July 2008 Received in revised form 26 December 2008 Accepted 8 January 2009 Available online 23 January…”
A high‐order triangular discontinuous Galerkin oceanic shallow water model (2008, methodology): “Schwaneberg and Köngeter [3] first used the DG method for the planar shallow water equations, followed by the work of Li and Liu [4], and Aizinger and Dawson [5].”