On an implicit ENO scheme

Journal Article · Thu Dec 01 04:00:00 EST 1994 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.1994.1203· OSTI ID:105484

Wilcoxson, M; Manousiouthakis, V ^[1]

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1. Univ. of California, Los Angeles, CA (United States)

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.

• OSTI ID: 105484
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 115; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

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