Large Eddy Simulation of Turbulent Channel Flows by the Rational LES Model

Details Large Eddy Simulation of Turbulent Channel Flows by the Rational LES Model Large Eddy Simulation of Turbulent Channel Flows by the Rational LES Model

2002-05-24

arxiv.org/abs/math/0205264v1

Mathematics

Numerical Analysis

31 pages including 15 figures

Scientific paper

10.1063/1.1604781

The rational large eddy simulation (RLES) model is applied to turbulent channel flows. This approximate deconvolution model is based on a rational (subdiagonal Pade') approximation of the Fourier transform of the Gaussian filter and is proposed as an alternative to the gradient (also known as the nonlinear or tensor-diffusivity) model. We used a spectral element code to perform large eddy simulations of incompressible channel flows at Reynolds numbers based on the friction velocity and the channel half-width Re{sub tau} = 180 and Re{sub tau} = 395. We compared the RLES model with the gradient model. The RLES results showed a clear improvement over those corresponding to the gradient model, comparing well with the fine direct numerical simulation. For comparison, we also present results corresponding to a classical subgrid-scale eddy-viscosity model such as the standard Smagorinsky model.

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