On an Implicit ENO Scheme

Essentially non-oscillatory (ENO) schemes, which have high order accuracy in regions where solutions are smooth and effectively capture shocks and discontinuities, have been developed for numerical solution of hyperbolic equations. These methods have traditionally been implemented using explicit Eul...

Full description

Saved in:
Bibliographic Details
Published inJournal of computational physics Vol. 115; no. 2; pp. 376 - 389
Main Authors Wilcoxson, Mark, Manousiouthakis, Vasilios
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.12.1994
Online AccessGet full text
ISSN0021-9991
1090-2716
DOI10.1006/jcph.1994.1203

Cover

More Information
Summary:Essentially non-oscillatory (ENO) schemes, which have high order accuracy in regions where solutions are smooth and effectively capture shocks and discontinuities, have been developed for numerical solution of hyperbolic equations. These methods have traditionally been implemented using explicit Euler or explicit Runge-Kutta time marching schemes and consequently suffer from the Courant-Friedrichs-Lewy (CFL) time step restriction. This restriction is significant for steady-state problems and for transient problems with fronts whose speed is slow compared to the propagation speed in the rest of the domain. In this paper, a novel implicit time marching implementation of the ENO Roe scheme is developed. Simulation results which demonstrate the benefits of this implicit implementation are presented.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0021-9991
1090-2716
DOI:10.1006/jcph.1994.1203