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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 35-50 |
| Number of pages | 16 |
| Journal | Journal of Scientific Computing |
| Volume | 49 |
| Issue number | 1 |
| DOIs | |
| State | Published - Dec 16 2010 |
| Externally published | Yes |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01Acknowledged KAUST grant number(s): KUS-C1-016-04
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.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.