THE USE OF CLASSICAL LAX-FRIEDRICHS RIEMANN SOLVERS WITH DISCONTINUOUS GALERKIN METHODS
While conducting a von Neumann stability analysis of discontinuous Galerkin methods we found that the standard Lax-Friedrichs (LxF) Riemann solver is unstable for all time-step sizes. A simple modification of the Riemann solver's dissipation returns the method to stability. Furthermore, the method has a smaller truncation error than the corresponding method with an upwind flux for the RK2-DG(1) method. These results are confirmed upon testing.
- Research Organization:
- Los Alamos National Lab., NM (US)
- Sponsoring Organization:
- US Department of Energy (US)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 775574
- Report Number(s):
- LA-UR-01-1282
- Country of Publication:
- United States
- Language:
- English
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