Regular article

Computing and Visualization in Science

, Volume 3, Issue 1, pp 47-59

First online:

Large Eddy Simulation and the variational multiscale method

  • Thomas J.R. HughesAffiliated withDivision of Mechanics and Computation, W.F. Durand Building, Stanford University, Stanford, California 94305-4040, USA
  • , Luca MazzeiAffiliated withDivision of Mechanics and Computation, W.F. Durand Building, Stanford University, Stanford, California 94305-4040, USA
  • , Kenneth E. JansenAffiliated withDepartment of Mechanical Engineering, 2044 Jonsson Engineering Center, Rensselaer Polytechnic Institute, Troy, NY 12181, USA

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Abstract.

A Large Eddy Simulation (LES) formulation is developed from the variational multiscale method. Modeling is confined to the effect of a small-scale Reynolds stress, in contrast with classical LES in which the entire subgrid-scale stress is modeled. All other effects are accounted for exactly. It is argued that many shortcomings of the classical LES/constant-coefficient Smagorinsky model are eliminated by the scale separation inherent ab initio in the present approach.