Abstract
We present the eddy-viscosity concept in Fourier space. For large-eddy simulations (LES) of isotropic turbulence, EDQNM eddy coefficients are compared with those obtained through a double filtering in spectral space. Afterwards, we present the spectral-dynamic model, which accounts for cutoff spectra not following Kolmogorov’s law, It is applied in particular with success to a a plane channel.
For flows in complex geometries, we employ the filtered structure-function model, or the selective structure-function model. The latter is applied to a backward-facing step, for which we discuss vortex identification with the aid of theℚcriterion.
The last application concerns incompressible rotating shear layers, very important for turbomachinery and GFD applications: we show in particular for free-shear and wall flows a universal behaviour of the mean velocity profile, which becomes linear with a local Rossby equal to —1 in certain anticyclonic regions. We explain this result by a nonlinear self reorientation of the absolute vorticity.
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Lesieur, M., Delcayre, F., Lamballais, E. (2000). Spectral Eddy-Viscosity Based Les of Shear and Rotating Flows. In: Kerr, R.M., Kimura, Y. (eds) IUTAM Symposium on Developments in Geophysical Turbulence. Fluid Mechanics and Its Applications, vol 58. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0928-7_19
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DOI: https://doi.org/10.1007/978-94-010-0928-7_19
Publisher Name: Springer, Dordrecht
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