Discontinuous Galerkin Finite-Element Method for Transcritical Two-Dimensional Shallow Water Flows

By D. Schwanenberg, M. Harms. 2004

99 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/08acc22133f5ebd0a85545728abc435ef4b4e858

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In Computational Mechanics

Citations in the corpus

A depth-averaged 2D shallow water model for breaking and non-breaking long waves affected by rigid vegetation (2012, methodology): “…(2002), Valiani et al. (2002), Begnudelli and Sanders (2006), Ying and Wang (2008), and Liang and Marche (2009) used approximate Riemann solvers and Schwanenberg and Harms (2004) and Lai and Khan (2012) used the discontinuous Galerkin method to solve the shallow water equations for dam-break flows.”
hp Discontinuous Galerkin methods for advection dominated problems in shallow water flow (2006, background): “…SWE has only appeared in the literature in the past 5 years, and most of these studies have focused primarily on the application of the method to specialized problems involving dam break flows and hydraulic jumps and/or have employed essentially low-order p approximations [10] [11] [12] [13] [14].”
A well‐balanced Runge–Kutta discontinuous Galerkin method for the shallow‐water equations with flooding and drying (2008, background): “DG simulations of flows involving dry beds have also been reported recently [33, 34].”
A wetting and drying treatment for the Runge-Kutta discontinuous Galerkin solution to the shallow water equations (2009, background): “…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 2009 Keywords:…”