| Author | L. Krivodonova, J. Xin, J.-F. Remacle, N. Chevaugeon, J. E. Flaherty |
|---|---|
| Title | Shock Detection and Limiting with Discontinuous Galerkin Methods for Hyperbolic Conservation Laws |
| Year | 2003 |
| Abstract | We describe a strategy for detecting discontinuities and for limiting spu- rious oscillations near such discontinuities when solving hyperbolic systems of conservation laws by high-order discontinuous Galerkin methods. The approach is based on a strong superconvergence at the out°ow boundary of each element in smooth regions of the °ow. By detecting discontinu- ities in such variables as density or entropy, limiting may be applied only in these regions; thereby, preserving a high order of accuracy in regions where solutions are smooth. Several one- and two-dimensional °ow prob- lems illustrate the performance of these approaches. |
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