| Author | Jean-François Remacle, Katia Pinchedez, Joseph E. Flaherty, Mark S. Shephard |
|---|---|
| Title | An efficient local time stepping-Discontinuous Galerkin scheme for adaptive transient computations |
| Year | 2001 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | - - |
| Pages | - - |
| Abstract | We present an efficient local time stepping procedure for the adaptive transient solution of hyperbolic conservation laws. The spatial operator is discretized using the discontinuous Galerkin method while a new local time stepping procedure is used for time integration. The time discretization depends on local Courant stability conditions so that elements are advanced in time asynchronously but the scheme includes appropriate step coordination to remain consistent in time. Some results of adaptive mesh refinement calculations are presented for supersonic two and three- dimensional problems and a three-dimensional Rayleigh-Taylor flow instability |
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