| Author | Remacle J.F., Flaherty J.E., Shephard M.S. |
|---|---|
| Title | An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems |
| Year | 2002 |
| Journal | SIAM Journal on Scientific Computing |
| Volume | in press |
| Pages | 20 |
| Abstract | We present a high-order formulation for solving hyperbolic conservation laws using the Discontinuous Galerkin Method (DGM). We introduce an orthogonal basis for the spatial discretization and use explicit Runge-Kutta time discretization. Some results of higher-order adaptive re nement calculations are presented for inviscid Rayleigh Taylor ow instability and shock re exion problems. The adaptive procedure uses an error indicator that concentrates the computational effort near discontinuities. |
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