A fast, high resolution, second-order central scheme for incompressible flows

Raz Kupferman; Eitan Tadmor

doi:10.1073/pnas.94.10.4848

A fast, high resolution, second-order central scheme for incompressible flows

Raz Kupferman^*, Eitan Tadmor

^*Corresponding author for this work

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

25 Scopus citations

Abstract

A high resolution, second-order central difference method for incompressible flows is presented. The method is based on a recent second- order extension of the classic Lax-Friedrichs scheme introduced for hyperbolic conservation laws (Nessyahu H. and Tadmor E. (1990) J. Comp. Physics. 87, 408-463; Jiang G.-S. and Tadmor E. (1996) UCLA CAM Report 96- 36, SIAM J. Sci. Comput., in press) and augmented by a new discrete Hodge projection. The projection is exact, yet the discrete Laplacian operator retains a compact stencil. The scheme is fast, easy to implement, and readily generalizable. Its performance was tested on the standard periodic double shear-layer problem; no spurious vorticity patterns appear when the flow is underresolved. A short discussion of numerical boundary conditions is also given, along with a numerical example.

Original language	American English
Pages (from-to)	4848-4852
Number of pages	5
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	94
Issue number	10
DOIs	https://doi.org/10.1073/pnas.94.10.4848
State	Published - 13 May 1997
Externally published	Yes

Keywords

central difference schemes
hyperbolic conservation laws
nonoscillatory schemes
second-order accuracy

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10.1073/pnas.94.10.4848

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A fast, high resolution, second-order central scheme for incompressible flows

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Keywords

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