Abstract
Large-eddy simulation of complex turbulent flows involves the filtering and modelling of small scale flow structures whose intensity shows large spatial variations in the flow domain. This suggests the use of filters with nonuniform filterwidth. Such filters fail to commute with spatial derivatives and give rise to additional ‘noncommutation’ terms in LES. We construct higher order filters and show that the subgrid terms and the new noncommutation terms are a priori of comparable magnitude. We apply these filters to DNS data of the temporal mixing layer. The magnitude of the noncommutation terms and their contribution to the kinetic energy dynamics is determined. Finally, we show that LES predictions significantly depend on the specific explicit filter used in dynamic subgrid modelling.
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References
L. Kleiser and T.A. Zang, ‘Numerical simulation of transition in wall-bounded shear flows’, Ann. Rev. Fluid Mech., 23, 495, (1991)
B.J. Geurts, A.W. Vreman, J.G.M. Kuerten, ‘Comparison of DNS and LES of transitional and turbulent compressible flow: flat plate and mixing layer’, AGARD Conf. Proc. 551, 5.1–5–14, Chania, Crete, Greece, (1994)
S. Ghosal, P. Moin, ‘The basic equations for the Large Eddy simulation of turbulent flows in complex geometry’, J. Comp. Phys., 118, 24, (1995)
H. van der Ven, ‘A family of LES filters with nonuniform filter widths’, Phys. Fluids A, 7, 1171, (1995)
A.W. Vreman, B.J. Geurts, J.G.M. Kuerten, ‘Realizability conditions for the turbulent stress tensor in Large Eddy Simulation’, JFM, 278, 351, (1994a)
A.W. Vreman, B.J. Geurts, J.G.M. Kuerten, ‘A priori tests of large eddy simulation of the compressible plane mixing layer’, J.Engg.Math., 29, 299, (1995)
M. Germano, U. Piomelli, P. Moin and W.H. Cabot, ‘A dynamic subgrid-scale eddy viscosity model’, Phys. Fluids A, 3, 1760, (1991)
A.W. Vreman, B.J. Geurts, J.G.M. Kuerten, ‘On the formulation of the dynamic mixed subgrid-scale model’, Phys. Fluids A, 6, 4057, (1994b)
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© 1997 Springer Science+Business Media Dordrecht
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Geurts, B., Vreman, B., Kuerten, H., Van Buuren, R. (1997). Noncommuting Filters and Dynamic Modelling for Les of Turbulent Compressible Flow in 3D Shear Layers. In: Chollet, JP., Voke, P.R., Kleiser, L. (eds) Direct and Large-Eddy Simulation II. ERCOFTAC Series, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5624-0_5
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DOI: https://doi.org/10.1007/978-94-011-5624-0_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6370-8
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