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}
}
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

Citations

Publications citing this paper.
Showing 1-10 of 31 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 37 references

A basin to channel scale unstructured grid hurricane storm surge model applied to Southern Louisiana

  • J. Kongeter D. Schwanenberg
  • Weather Rev .
  • 2008

A high-order triangular discontinuous Galerkin oceanic shallow water

  • F. X. Giraldo, T. Warburton
  • model, Int. J. Numer. Methods Fluids
  • 2008

Djadel, A well-balanced Runge–Kutta discontinuous Galerkin method for the shallow-water equations with flooding and drying

  • A. Ern, K. S. Piperno
  • Int. J. Numer. Methods Fluids
  • 2008
2 Excerpts

Pourtaheri, A basin to channel scale unstructured grid hurricane storm surge model applied to Southern Louisiana, Mon

  • J. J. Westerink, J. C. Feyen, +6 authors H.E.J. Kubatko
  • Weather Rev
  • 2008

A high - order triangular discontinuous Galerkin oceanic shallowwater model

  • T. Warburton
  • Int . J . Numer . Methods Fluids
  • 2006

Shephard, An adaptive discretization of shallow-water equations based on discontinuous Galerkin methods

  • J.-F. Remacle, S. S. Frazão, M.S.X. Li
  • Int. J. Numer. Methods Fluids
  • 2006

Similar Papers

Loading similar papers…