An adaptive discretization of shallow‐water equations based on discontinuous Galerkin methods
By Jean-François Remacle, S. S. Frazao, Xiangrong Li, Mark S. Shephard. 2006
60 citations recorded by the source corpus.
Subfields: Computational Mechanics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/2c5755c436ba939eae870f55b5e68d3650ccb1c2
How researchers see this paper
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In Computational Mechanics
- Joannes J. Westerink
- Shintaro Bunya
- Ethan J. Kubatko
- Clint N. Dawson
- Alexandre Ern
- Serge Piperno
- Karim Djadel
- Chi-Wang Shu
In Numerical Analysis
- Shintaro Bunya
- Joannes J. Westerink
- Ethan J. Kubatko
- Clint N. Dawson
- Serge Piperno
- Alexandre Ern
- Karim Djadel
- Chi-Wang Shu
Citations in the corpus
- A high‐order triangular discontinuous Galerkin oceanic shallow water model (2008, unknown): “[8], and Kubatko et al.”
- High-order h-adaptive discontinuous Galerkin methods for ocean modelling (2007, unknown): “These equations have been used for many years for solving a variety of problems, such as atmospheric, oceanic, dam breaking (e.g. Soares Frazão and Zech 2002b; Remacle et al. 2006) or river flow problems (e.”
- A wetting and drying treatment for the Runge-Kutta discontinuous Galerkin solution to the shallow water equations (2009, background): “…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: Shallow water…”
- 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”
- Dynamic p-adaptive Runge–Kutta discontinuous Galerkin methods for the shallow water equations (2009, methodology): “Governing equations The SWE are applicable in describing free surface flow problems where the depth of a water body is sufficiently small compared with its horizontal flow scales.”