Euler equation existence, non-uniqueness and mesh converged statistics-Reference-Cited by-同舟云学术

Euler equation existence, non-uniqueness and mesh converged statistics

Published:2015-09-13 Issue:2050 Volume:373 Page:20140282
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Glimm James¹²,Sharp David H.³,Lim Hyunkyung¹,Kaufman Ryan¹,Hu Wenlin¹

Affiliation:

1. Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, NY 11794-3600, USA

2. Computational Science Center, Brookhaven National Laboratory, Upton, NY 11793-6000, USA

3. Los Alamos National Laboratory, NM 87545, USA

Abstract

We review existence and non-uniqueness results for the Euler equation of fluid flow. These results are placed in the context of physical models and their solutions. Non-uniqueness is in direct conflict with the purpose of practical simulations, so that a mitigating strategy, outlined here, is important. We illustrate these issues in an examination of mesh converged turbulent statistics, with comparison to laboratory experiments.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2014.0282

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