Discontinuous Galerkin for stiff hyperbolic systems Conference Paper

abstract

• 1999 American lnstituie of Aeronautics and Astronautics Inc. All rights reserved. A Discontinuous Galerkin (DG) method is applied to hyperbolic systems that contain stiff relaxation terms. We demonstrate that when the relaxation time is unresolved, DG is accurate in the sense that the method accurately represents the systems Chapman-Enskog (or diffusion) approximation. Moreover, we demonstrate that a highresolution, finite-volume method using the same time-integration method as DG is very inaccurate in the diffusion limit. Results for DG are presented for the hyperbolic heat equation, the Broadwell model of gas kinetics, and coupled radiationhydrodynamics.

name of conference

• 14th Computational Fluid Dynamics Conference

authors

• Morel, Jim

published proceedings

• 14th Computational Fluid Dynamics Conference

author list (cited authors)

• Lowrie, R., & Morel, J.

citation count

• 5

complete list of authors

• Lowrie, Robert||Morel, Jim

publication date

• November 1999

publisher

• American Institute of Aeronautics and Astronautics (AIAA)  Publisher

Digital Object Identifier (DOI)

• 10.2514/6.1999-3307

start page

• 516

end page

• 525

URL

• http://dx.doi.org/10.2514/6.1999-3307