Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10356385 | Journal of Computational Physics | 2005 | 20 Pages |
Abstract
Asymptotic stability of high-order finite-difference schemes for linear hyperbolic systems is investigated using the Nyquist criterion of linear-system theory. This criterion leads to a sufficient stability condition which is evaluated numerically. A fifth-order compact upwind-biased finite-difference scheme is developed which is asymptotically stable, according to the Nyquist criterion, for linear 2Â ÃÂ 2 systems. Moreover, this scheme is optimised with respect to its dispersion properties. The suitability of the scheme for discretisation of the compressible Navier-Stokes equations is demonstrated by computing inviscid and viscous eigensolutions of compressible Couette flow.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
A. Jocksch, N.A. Adams, L. Kleiser,