Multidimensional difference schemes with fourth-order accuracy

E. Turkel, S. Abarbanel, D. Gottlieb

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


An explicit finite-difference algorithm is presented for the solution of quasilinear divergence free multidimensional hyperbolic systems. The method consists of four steps per time level. The resulting scheme is fourth-order accurate in both space and time, though the intermediate steps are only first-order accurate. The family of schemes introduced is dissipative, and hence, suitable for both smooth flows and flows containing shocks. This method is compared, in several numerical examples, with both second-order schemes and others that are fourth order in space, but second order in time.

Original languageEnglish
Pages (from-to)85-113
Number of pages29
JournalJournal of Computational Physics
Issue number1
StatePublished - May 1976
Externally publishedYes

Bibliographical note

Funding Information:
* Sponsored in part by the Air Force Office of Scientific Research (NAM) through the European Office of Aerospace Research, AFSC, United States Air Force, under Grant AFOSR-72-2370. +Present address: Courant Institute, New York University, New York, N.Y. 10012. * Sponsored in part by the Office of Scientific Research of the United States Air Force, Grant No. F44620-71-C-0110. Present address: ICASE, NASA Langley Research Center, Hampton, Va. 23665.


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