Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

The local variational multiscale method

S. Scott Collisa,*, Srinivas Ramakrishnanb
aOptimization and Uncertainty Estimation, Sandia National Laboratory†, Albuquerque, NM 87185-0370, USA bMechanical Engineering and Materials Science, Rice University, Houston, TX 74005, USA
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ABSTRACT
Combining the variational multiscale (VMS) method for large-eddy simulation with a discontinuous Galerkin (DG) spatial discretization leads to a synergistic approach to turbulence simulation that we call the local variational multiscale (lVMS) method. In lVMS the flexibility of DG enables the large and small-scale spaces to be set on each element independently. In this paper, preliminary results using lVMS are presented for turbulent channel flow that demonstrate the flexibility and efficacy of the method.

Keywords:  Multiscale; Large eddy simulation; Turbulence; Variational multiscale
* Corresponding author. Tel.: +1 (505) 2841123; Fax: +1 (505) 2840154; E-mail sscoll@sandia.gov
† Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy under contract DE-AC04-94AL85000