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Journal of Scientific Computing

, Volume 49, Issue 1, pp 35–50 | Cite as

From Suitable Weak Solutions to Entropy Viscosity

  • Jean-Luc Guermond
  • Richard Pasquetti
  • Bojan Popov
Article

Abstract

This paper focuses on the notion of suitable weak solutions for the three-dimensional incompressible Navier-Stokes equations and discusses the relevance of this notion to Computational Fluid Dynamics. The purpose of the paper is twofold (i) to recall basic mathematical properties of the three-dimensional incompressible Navier-Stokes equations and to show how they might relate to LES (ii) to introduce an entropy viscosity technique based on the notion of suitable weak solution and to illustrate numerically this concept.

Keywords

Quality Reliability Large-Eddy Simulation Suitable weak solutions Entropy viscosity 

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Jean-Luc Guermond
    • 1
  • Richard Pasquetti
    • 2
  • Bojan Popov
    • 1
  1. 1.Department of MathematicsTexas A&M UniversityCollege StationUSA
  2. 2.Lab. J.A. Dieudonné, UMR CNRS 6621Université de Nice-Sophia AntipolisNiceFrance

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