On the construction of suitable solutions to the Navier-Stokes equations and questions regarding the definition of large eddy simulation

J. L. Guermond*, Serge Prudhomme

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

This paper discusses the notion of large eddy simulation (LES) as a mathematical concept and proposes to use the concept of suitable weak solutions as a building block for the development of a mathematical theory of LES. Various techniques for constructing suitable weak solutions to the three-dimensional Navier-Stokes equations are reviewed and many features of these mathematical constructions are shown to comply with well-accepted heuristic characterizations of LES. Published by Elsevier B.V.

Original languageEnglish (US)
Pages (from-to)64-78
Number of pages15
JournalPhysica D: Nonlinear Phenomena
Volume207
Issue number1-2
DOIs
StatePublished - Jul 15 2005

Keywords

  • Large eddy simulation
  • Navier-Stokes equations
  • Turbulence

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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