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    From Suitable Weak Solutions to Entropy Viscosity

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    Type
    Article
    Authors
    Guermond, Jean-Luc
    Pasquetti, Richard
    Popov, Bojan
    KAUST Grant Number
    KUS-C1-016-04
    Date
    2010-12-16
    Online Publication Date
    2010-12-16
    Print Publication Date
    2011-10
    Permanent link to this record
    http://hdl.handle.net/10754/598373
    
    Metadata
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    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.
    Sponsors
    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.
    Publisher
    Springer Nature
    Journal
    Journal of Scientific Computing
    DOI
    10.1007/s10915-010-9445-3
    ae974a485f413a2113503eed53cd6c53
    10.1007/s10915-010-9445-3
    Scopus Count
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