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Euler equation existence, non-uniqueness and mesh converged statistics.

James Glimm1, David H Sharp2, Hyunkyung Lim3

  • 1Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, NY 11794-3600, USA Computational Science Center, Brookhaven National Laboratory, Upton, NY 11793-6000, USA.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|August 12, 2015
PubMed
Summary

This study examines the Euler equation for fluid flow, highlighting non-uniqueness issues that challenge accurate simulations. A strategy to mitigate these problems is presented and illustrated with turbulent flow data.

Keywords:
Euler equationsexistencelarge eddy simulationsnon-uniqueness

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