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Alpha-modeling strategy for LES of turbulent mixing

2002/02/05 by Bernard J. Geurts, Darryl D. Holm, Geurts, Bernard J. +1
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #nlin.CD

paper · pdf · doi:10.48550/arxiv.nlin/0202012

42 pages, 14 figures, to appear in `Turbulent Flow Computation', edited by D. Drikakis, B.J. Geurts, Kluwer Academic Publishers, 2002

arxiv created 2002/02/05 · arxiv updated 2009/11/30

Abstract

The α-modeling strategy is followed to derive a new subgrid parameterization of the turbulent stress tensor in large-eddy simulation (LES). The LES-α modeling yields an explicitly filtered subgrid parameterization which contains the filtered nonlinear gradient model as well as a model which represents `Leray-regularization'. The LES-α model is compared with similarity and eddy-viscosity models that also use the dynamic procedure. Numerical simulations of a turbulent mixing layer are performed using both a second order, and a fourth order accurate finite volume discretization. The Leray model emerges as the most accurate, robust and computationally efficient among the three LES-α subgrid parameterizations for the turbulent mixing layer. The evolution of the resolved kinetic energy is analyzed and the various subgrid-model contributions to it are identified. By comparing LES-α at different subgrid resolutions, an impression of finite volume discretization error dynamics is obtained.

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