Methods for hyperbolic systems with stiff relaxation Academic Article uri icon

abstract

  • AbstractThree methods are analysed for solving a linear hyperbolic system that contains stiff relaxation. We show that the semidiscrete discontinuous Galerkin method, with a linear basis, is accurate when the relaxation time is unresolved (asymptotic preservingAP). The two other methods are shown to be nonAP. To discriminate between AP and nonAP methods, we argue that in the limit of small relaxation time, one should fix the dimensionless parameters that characterize the nearequilibrium limit. Copyright 2002 John Wiley & Sons, Ltd.

published proceedings

  • INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

author list (cited authors)

  • Lowrie, R. B., & Morel, J. E.

citation count

  • 37

publication date

  • September 2002

publisher