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2008 Analysis of implicit LES methods
Andrew Aspden, Nikos Nikiforakis, Stuart Dalziel, John Bell
Commun. Appl. Math. Comput. Sci. 3(1): 103-126 (2008). DOI: 10.2140/camcos.2008.3.103


Implicit LES methods are numerical methods that capture the energy-containing and inertial ranges of turbulent flows, while relying on their own intrinsic dissipation to act as a subgrid model. We present a scheme-dependent Kolmogorov scaling analysis of the solutions produced by such methods. From this analysis we can define an effective Reynolds number for implicit LES simulations of inviscid flow. The approach can also be used to define an effective Reynolds number for under-resolved viscous simulations. Simulations of maintained homogeneous isotropic turbulence and the Taylor–Green vortex are presented to support this proposal and highlight similarities and differences with real-world viscous fluids. Direct comparison with data from high resolution DNS calculations provides validation of the effective viscosity and effective Kolmogorov length scale.


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Andrew Aspden. Nikos Nikiforakis. Stuart Dalziel. John Bell. "Analysis of implicit LES methods." Commun. Appl. Math. Comput. Sci. 3 (1) 103 - 126, 2008.


Received: 28 July 2008; Accepted: 22 January 2009; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1162.76024
MathSciNet: MR2504843
Digital Object Identifier: 10.2140/camcos.2008.3.103

Primary: 76F05, 76F65, 76M12, 76M55

Keywords: ILES, Implicit LES, MILES

Rights: Copyright © 2008 Mathematical Sciences Publishers


Vol.3 • No. 1 • 2008
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