An Analysis of the Discontinuous Galerkin Method for Wave Propagation Problems

✍ Scribed by Fang Q. Hu; M.Y. Hussaini; Patrick Rasetarinera

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 264 KB
• Volume: 151
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1999.6227

✦ Synopsis

The dispersion and dissipation properties of the discontinuous Galerkin method are investigated with a view to simulating wave propagation phenomena. These properties are analysed in the semi-discrete context of the one-dimensional scalar advection equation and the two-dimensional wave equation, discretized on triangular and quadrilateral elements. They are verified by the results from full numerical solutions of the simple scalar advection equation and the Euler equations.