THE USE OF CLASSICAL LAX-FRIEDRICHS RIEMANN SOLVERS WITH DISCONTINUOUS GALERKIN METHODS

Conference · Thu Mar 01 00:00:00 EST 2001

DOI:https://doi.org/10.1002/fld.334· OSTI ID:775574

RIDER, W J; LOWRIE, R B

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 Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: US Department of Energy (US)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 775574
• Report Number(s): LA-UR-01-1282; TRN: AH200121%%95
• Resource Relation: Journal Volume: 40; Journal Issue: 3-4; Conference: Conference title not supplied, Conference location not supplied, Conference dates not supplied; Other Information: PBD: 1 Mar 2001
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
MODIFICATIONS
STABILITY
TESTING