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# A wetting and drying treatment for the Runge – Kutta discontinuous Galerkin solution to the shallow water equations

@inproceedings{Bunya2009AWA, title={A wetting and drying treatment for the Runge – Kutta discontinuous Galerkin solution to the shallow water equations}, author={Shintaro Bunya and Ethan J. Kubatko and Joannes J. Westerink and Clint Dawson}, year={2009} }

- Published 2009

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 of the mean water depth within each finite element. In addition, special treatments are applied in the numerical flux computation to prevent an instability due to excessive drying. The proposed… CONTINUE READING