Multidimensional difference schemes with fourth-order accuracy

E. Turkel; S. Abarbanel; D. Gottlieb

doi:10.1016/0021-9991(76)90021-8

Multidimensional difference schemes with fourth-order accuracy

E. Turkel, S. Abarbanel, D. Gottlieb

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

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 language	English
Pages (from-to)	85-113
Number of pages	29
Journal	Journal of Computational Physics
Volume	21
Issue number	1
DOIs	https://doi.org/10.1016/0021-9991(76)90021-8
State	Published - May 1976
Externally published	Yes

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.

Funding

* 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.

Funders	Funder number
European Office of Aerospace Research
Air Force Office of Scientific Research
American Friends Service Committee
U.S. Air Force	AFOSR-72-2370
National Academy of Medicine

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10.1016/0021-9991(76)90021-8

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title = "Multidimensional difference schemes with fourth-order accuracy",

abstract = "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.",

author = "E. Turkel and S. Abarbanel and D. Gottlieb",

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.",

year = "1976",

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doi = "10.1016/0021-9991(76)90021-8",

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Multidimensional difference schemes with fourth-order accuracy

Abstract

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