On the practical use of high-order methods for hyperbolic systems

Eli Turkel*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A number of high-order methods are tested on a variety of dynamic problems in one, two, and three space dimensions. These problems include wave propagation phenomena as well as an asymptotic approach to a steady state. Both smooth and shocked flows are considered. The methods compared require only minor modifications of many existing second-order schemes. The results show that significant gains can be expected from the use of fourth-order methods. Spectral methods are also considered for some of the problems presented.

Original languageEnglish
Pages (from-to)319-340
Number of pages22
JournalJournal of Computational Physics
Issue number3
StatePublished - May 1980
Externally publishedYes


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