From Suitable Weak Solutions to Entropy Viscosity Academic 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. 2010 Springer Science+Business Media, LLC.

authors

• Popov, Bojan

published proceedings

• JOURNAL OF SCIENTIFIC COMPUTING

author list (cited authors)

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

citation count

• 25

complete list of authors

• Guermond, Jean-Luc||Pasquetti, Richard||Popov, Bojan

publication date

• October 2011

publisher

• Springer Nature  Publisher

published in

• Journal of Scientific Computing  Journal

keywords

• Entropy Viscosity
• Large-eddy Simulation
• Quality
• Reliability
• Suitable Weak Solutions

Digital Object Identifier (DOI)

• 10.1007/s10915-010-9445-3

start page

• 35

end page

• 50

volume

• 49

issue

• 1

URL

• http://dx.doi.org/10.1007/s10915-010-9445-3