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Numerical Instabilities in Upwind Methods: Analysis and Cures for the “Carbuncle” Phenomenon

✍ Scribed by Maurizio Pandolfi; Domenic D'Ambrosio

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 383 KB
Volume: 166
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.2000.6652

No coin nor oath required. For personal study only.

✦ Synopsis

Some upwind formulations promote severe instabilities that originate in the numerical capturing of shocks; this is known as the "carbuncle" phenomenon. An analysis of the linearized form of the algorithms is carried out to explain and predict the generation of such instabilities. The information obtained is then used to design remedies that only slightly and locally modify the original schemes.

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