An interpretation of the Navier-Stokes-alpha model as a frame-indifferent Leray regularization

J. L. Guermond*, J. T. Oden, Serge Prudhomme

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

44 Scopus citations

Abstract

We show in this note that the Leray regularization of the Navier-Stokes equations is almost frame-indifferent but for one second-order term. Neglecting this term, we readily recover the Navier-Stokes-alpha equations introduced by Holm et al. [Adv. Math. 137 (1998) 1; Phys. Fluids 11 (8) (1999) 2343]. Hence, as an alternative to the exposition in [Adv. Math. 137 (1998) 1; Phys. Fluids 11 (8) (1999) 2343], we propose to interpret the Navier-Stokes-alpha model as a frame-indifferent perturbation of the Leray regularization. Published by Elsevier Science B.V.

Original languageEnglish (US)
Pages (from-to)23-30
Number of pages8
JournalPhysica D: Nonlinear Phenomena
Volume177
Issue number1-4
DOIs
StatePublished - Mar 15 2003

Keywords

  • Filtering
  • Large eddy simulation
  • Navier-Stokes equations
  • Navier-Stokes-alpha model
  • Turbulence

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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