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.
Bibliographical noteKAUST Repository Item: Exported on 2022-06-28
Acknowledged KAUST grant number(s): KUS-C1-016- 04
Acknowledgements: This material is based upon work supported by the National Science Foundation grants DMS-07138229 and DMS-0811041 and partially supported by Award No. KUS-C1-016- 04, made by King Abdullah University of Science and Technology (KAUST). This work was also supported by Lawrence Livermore National Security, LLC, under Task Order B575366 and Master Task Agreement B575363
This publication acknowledges KAUST support, but has no KAUST affiliated authors.