Method of hyperbolic systems with stiff relaxation.

Lowrie, R. B. ; Morel, J. E.

Technical Information Center Oak Ridge Tennessee

关键词: Hyperbolic functions;    Relaxation time;    Diffusion;    Lanl;    Relaxation;   

RP-ID  :  DE2001776177

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

Three methods are analyzed for solving a linear hyperbolic system that contains stiff relaxation. We show that the semi-discrete discontinuous Galerkin method, with a linear basis, is accurate when the relaxation time is unresolved (asymptotically preserving--AP). A recently developed central method is shown to be non-AP. To discriminate between AP and non-AP methods, we argue that one must study problems that are diffusion dominated.