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Numerical Navier-Stokes Solutions from Gas Kinetic Theory

✍ Scribed by Kun Xu; Kevin H. Prendergast

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 456 KB
Volume: 114
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1994.1145

No coin nor oath required. For personal study only.

✦ Synopsis

in order to test the gas-kinetic based hydrodynamic scheme given in paper I (K. H. Prendergast and K. Xu, J. Comput. Phys. 109, 53, 1993) as a Navier-Stokes solver, we extend the scheme to two dimensions and exhibit some Navier-Stokes solutions. The scheme is a highresolution gas kinetic scheme in both space and time. The advective and diffusive fluxes are coupled and solved at the same time by following the time-dependent velocity distribution function for particles. Numerical results for some well-defined Euler and Navier-Stokes test cases are presented. The Kolmogorov and the laminar boundary layer problems exhibit the dominance of the real viscosity effects. The strong shock interaction test cases show the applicability of the scheme to supersonic gas flow. (C) 1994 Academic Press. Inc.

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