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High Order Centered Difference Methods for the Compressible Navier-Stokes Equations

✍ Scribed by Björn Sjögreen

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
442 KB
Volume
117
Category
Article
ISSN
0021-9991

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✦ Synopsis

We study centered finite difference methods of general order of accuracy (2 p). Boundary points are approximated by one sided operators. We give boundary operators which are stable for the linear advection equation. In cases where the approximation is unstable, we show how stability can be recovered by use of high order artificial dissipation operators. The methods are generalized to the compressible Navier-Stokes equations. We obtain a highly accurate grid converged finite difference solution of the Navier-Stokes equations, which we use to evaluate the accuracy of a finite volume TVD shock capturing method. 1995 Academic Press, Inc.

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