| Author | Jean-Francois Remacle, Sandra Soares Frazao, Xiagrong Li and Mark S. Shephard |
|---|---|
| Title | Adaptive Discontinuous Galerkin Method for the Shallow Water Equations |
| Year | 2003 |
| Journal | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS |
| Volume | 0 |
| Pages | 1-20 |
| Abstract | In this paper, we present a Discontinuous Galerkin formulation of the shallow water equations. An orthogonal basis is used for the spatial discretization and an explicit Runge-Kutta scheme is used for time discretization. Some results of second order anisotropic adaptive calculations are presented for dam breaking problems. The adaptive procedure uses an error indicator that concentrates the computational effort near discontinuities like hydraulic jumps. |
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