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Riemann Solvers with Runge–Kutta Discontinuous Galerkin Schemes for the 1D Shallow Water Equations

✍ Scribed by Kesserwani, G.; Ghostine, R.; Vazquez, J.; Ghenaim, A.; Mosé, R.


Book ID
120992657
Publisher
American Society of Civil Engineers
Year
2008
Tongue
English
Weight
795 KB
Volume
134
Category
Article
ISSN
0733-9429

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This paper proposes a wetting and drying treatment for the piecewise linear Runge-Kutta discontinuous Galerkin approximation to the shallow water equations. The method takes a fixed mesh approach as opposed to mesh adaptation techniques and applies a post-processing operator to ensure the positivity