Variational multiscale theory of LES turbulence modeling

Y. Bazilevs, V. M. Calo, T. J.R. Hughes, G. Scovazzi

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


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 a turbulent channel flow. In the calculations, we employed quadratic and cubic B-Splines. The numerical results are very good and confirm the viability of the theoretical framework. (This paper is excerpted from Bazilevs et al. [1], which is a much more comprehensive presentation of the theory, algorithms, implementation, and numerical studies. The reader is referred to it for further elaboration and many additional details.).

Original languageEnglish (US)
Title of host publicationDirect and Large-Eddy Simulation VII - Proceedings of the 7th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, 2008
EditorsBernard Geurts, Jochen Frohlich, Vincenzo Armenio
PublisherSpringer Netherland
Number of pages10
ISBN (Print)9789048136513
StatePublished - 2010
Event7th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, 2008 - Trieste, Italy
Duration: Sep 8 2008Sep 10 2008

Publication series

ISSN (Print)1382-4309
ISSN (Electronic)2215-1826


Conference7th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, 2008

Bibliographical note

Funding Information:
We wish to express our appreciation for support provided by the Office of Naval Research under Contract No. N00014-03-0263, Dr. Luise Couchman, contract monitor, and Sandia National Laboratories under Contract No. 114166.

Publisher Copyright:
© Springer Science+Business Media B.V. 2010.

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Computational Mathematics


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