TY - JOUR
T1 - From Suitable Weak Solutions to Entropy Viscosity
AU - Guermond, Jean-Luc
AU - Pasquetti, Richard
AU - Popov, Bojan
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged 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.
PY - 2010/12/16
Y1 - 2010/12/16
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/598373
UR - http://link.springer.com/10.1007/s10915-010-9445-3
UR - http://www.scopus.com/inward/record.url?scp=80053361390&partnerID=8YFLogxK
U2 - 10.1007/s10915-010-9445-3
DO - 10.1007/s10915-010-9445-3
M3 - Article
VL - 49
SP - 35
EP - 50
JO - Journal of Scientific Computing
JF - Journal of Scientific Computing
SN - 0885-7474
IS - 1
ER -