Residual-Based Variational Multiscale Theory of LES Turbulence Modeling

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

Research output: Chapter in Book/Report/Conference proceedingChapter


We present an apercu of our variational multiscale theory of LES turbulence. The theory is succinctly summarized in terms of a finite-dimensional coarse-scale equation governing the resolved scales that depend parametrically upon unresolved fine scales, which in turn are defined in terms of a functional of the coarse-scale residual “lifted” to the dual of the fine-scale space, and the coarse-scale velocity field itself.We illustrate the performance of a numerical implementation of the theory with calculations of a turbulent channel flow at a friction-velocity Reynolds number of 395 and comparisons with the DNS data.
Original languageEnglish (US)
Title of host publicationMultiscale Methods in Computational Mechanics
PublisherSpringer Netherlands
Number of pages16
ISBN (Print)9789048198085
StatePublished - 2011

Bibliographical note

KAUST Repository Item: Exported on 2021-08-12

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Mechanical Engineering


Dive into the research topics of 'Residual-Based Variational Multiscale Theory of LES Turbulence Modeling'. Together they form a unique fingerprint.

Cite this