A Framework for Late-Time/Stiff Relaxation Asymptotics

Philippe G. LeFloch ()
Additional contact information
Philippe G. LeFloch: Université Pierre et Marie Curie (Paris 6), Laboratoire Jacques-Louis Lions, Centre National de la Recherche Scientifique

A chapter in The Courant–Friedrichs–Lewy (CFL) Condition, 2013, pp 119-137 from Springer

Abstract: Abstract We consider solutions to nonlinear hyperbolic systems of balance laws with stiff relaxation and formally derive a parabolic-type effective system describing the late-time asymptotics of these solutions. We show that many examples from continuous physics fall into our framework, including the Euler equations with (possibly nonlinear) friction. We then turn our attention to the discretization of these stiff problems and introduce a new finite volume scheme which preserves the late-time asymptotic regime. Importantly, our scheme requires only the classical CFL (Courant–Friedrichs–Lewy) condition associated with the hyperbolic system under consideration, rather than the more restrictive, parabolic-type stability condition.

Keywords: Hyperbolic system; Late-time; Stiff relaxation; Finite volume method; Asymptotic preserving (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8394-8_8

Ordering information: This item can be ordered from
http://www.springer.com/9780817683948

DOI: 10.1007/978-0-8176-8394-8_8

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().