Multigrid and Runge-Kutta time-stepping applied to the uniform non-oscillatory scheme

J.W. Burg, van der, J.G.M. Kuerten, P.J. Zandbergen

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)

Abstract

It is known that Harten's uniformly non-oscillatory scheme is a second-order accurate scheme for discretizing conservation laws. In this paper a multigrid technique and Runge-Kutta time stepping with frozen dissipation is applied to Harten's scheme in order to obtain the steady-state solution. It is shown that these techniques applied to Harten's scheme lead to a better convergence to the steady-state solution of a first-order conservation law than applied to Jameson's scheme.
Original languageEnglish
Pages (from-to)243-263
Number of pages21
JournalJournal of Engineering Mathematics
Volume25
Issue number3
DOIs
Publication statusPublished - 1991

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