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On the Convective and Absolute Nature of Instabilities in Finite Difference Numerical Simulations of Open Flows

✍ Scribed by C. Cossu; T. Loiseleux

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
255 KB
Volume
144
Category
Article
ISSN
0021-9991

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✦ Synopsis

In numerical simulations of unstable flows the absolute or convective nature of the instability can be modified by numerical effects. We introduce a convective/absolute analysis of the dispersion relations associated with discretized operators. This analysis leads to conditions on the discretization parameters in order to avoid numerical transition from absolute to convective instability and vice versa. In numerical simulations of non-parallel flows, local numerical transitions, of the kind described in this paper, could lead to the wrong global dynamics.

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