Computational Euler History

Abstract

A new pseudospectral calculation of collapsing Euler vortices \cite{HouLi06} has called into question the long-term conclusions of singular behavior described earlier in \cite{Kerr93,Kerr05}. This review is designed to: improve the discussion of the detailed analysis of one test initial condition designed find sources of errors, to compare that with calculations showing no evidence of a singularity, and to document two sets of discussions. Those prior to 1993 between competing teams. And recent discussions of what is needed to reach more convincing conclusions.

20 pages, 15 figures, 26 frames. Changes: Reference to Hou and Li paper and collaborations has been updated

Cited by in corpus (5)

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• Incompressible Euler Equations: the blow-up problem and related results
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• On the apparition of singularities of vector fields transported by volume preserving diffeomorphisms
• Global Well-posedness of the Three-dimensional Viscous and Inviscid Simplified Bardina Turbulence Models