From suitable weak solutions to entropy viscosity Conference Paper uri icon

abstract

  • © Springer Science+Business Media B.V. 2011. 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 relate to LES (ii) to introduce an entropy viscosity technique based on the notion of suitable weak solution and to illustrate numerically this concept.

author list (cited authors)

  • Guermond, J., Pasquetti, R., & Popov, B.

citation count

  • 2

publication date

  • January 2011