Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows

Y. Bazilevs*, Victor Calo, J. A. Cottrell, T. J.R. Hughes, A. Reali, G. Scovazzi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

647 Scopus citations

Abstract

We present an LES-type variational multiscale theory of turbulence. Our approach derives completely from the incompressible Navier-Stokes equations and does not employ any ad hoc devices, such as eddy viscosities. We tested the formulation on forced homogeneous isotropic turbulence and turbulent channel flows. In the calculations, we employed linear, quadratic and cubic NURBS. A dispersion analysis of simple model problems revealed NURBS elements to be superior to classical finite elements in approximating advective and diffusive processes, which play a significant role in turbulence computations. The numerical results are very good and confirm the viability of the theoretical framework.

Original languageEnglish (US)
Pages (from-to)173-201
Number of pages29
JournalComputer Methods in Applied Mechanics and Engineering
Volume197
Issue number1-4
DOIs
StatePublished - Dec 1 2007

Keywords

  • Homogeneous isotropic turbulence
  • Incompressible flows
  • Isogeometric analysis
  • Large eddy simulation
  • NURBS
  • Optimality
  • Perturbation series
  • Projection
  • Small-scale Green's function
  • Turbulence modeling
  • Turbulent channel flows
  • Variational multiscale methods

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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