✦ LIBER ✦

HIGH-ORDER-ACCURATE SCHEMES FOR INCOMPRESSIBLE VISCOUS FLOW

✍ Scribed by John C. Strikwerda

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 191 KB
Volume: 24
Category: Article
ISSN: 0271-2091
DOI: 10.1002/(sici)1097-0363(19970415)24:7<715::aid-fld513>3.0.co;2-e

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✦ Synopsis

We present new finite difference schemes for the incompressible Navier-Stokes equations. The schemes are based on two spatial differencing methods; one is fourth-order-accurate and the other is sixth-order accurate. The temporal differencing is based on backward differencing formulae. The schemes use non-staggered grids and satisfy regularity estimates, guaranteeing smoothness of the solutions. The schemes are computationally efficient. Computational results demonstrating the accuracy are presented.

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