Discontinuous Galerkin for stiff hyperbolic systems
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© 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 system’s 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.
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