From Suitable Weak Solutions to Entropy Viscosity

Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan

From Suitable Weak Solutions to Entropy Viscosity

Type

Article

Authors

Guermond, Jean-Luc
Pasquetti, Richard
Popov, Bojan

KAUST Grant Number

KUS-C1-016-04

Online Publication Date

2010-12-16

Print Publication Date

2011-10

Date

2010-12-16

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.

Citation

Guermond J-L, Pasquetti R, Popov B (2010) From Suitable Weak Solutions to Entropy Viscosity. Journal of Scientific Computing 49: 35–50. Available: http://dx.doi.org/10.1007/s10915-010-9445-3.

Acknowledgements

This material is based upon work supported by the National Science Foundationgrants DMS-07138229 and DMS-0811041 and partially supported by Award No. KUS-C1-016-04, made byKing Abdullah University of Science and Technology (KAUST). This work was also supported by LawrenceLivermore National Security, LLC, under Task Order B575366 and Master Task Agreement B575363.