# American Institute of Mathematical Sciences

February  2011, 4(1): 155-168. doi: 10.3934/dcdss.2011.4.155

## Two-point closure based large-eddy simulations in turbulence, Part 1: Isotropic turbulence

 1 Member of French Academy of Sciences, Laboratory for Geophysical and Industrial Flows, Grenoble

Received  February 2009 Published  October 2010

This is the first of a series of two articles dedicated to Claude-Michel Brauner and Roger Temam on turbulence large-eddy simulations using two-point closures. The present paper deals with applications to isotropic turbulence. First, some personal memories related to my collaboration with Claude-Michel Brauner are given. Then we recall the formalism of large-eddy simulations (LES) of turbulence in physical space for flows of constant density. We consider also a passive scalar, very important for combution applications. Afterwards we study the same problem in Fourier space, on the basis of the Eddy-Damped Quasi-Normal Markovian (EDQNM) theory which is used as subgrid model. This is applied to isotropic turbulence, with particular emphasis put on turbulence decay. We discuss the issue of singularity for Euler equations. We give finally some LES results on pressure statistics.
Citation: Marcel Lesieur. Two-point closure based large-eddy simulations in turbulence, Part 1: Isotropic turbulence. Discrete & Continuous Dynamical Systems - S, 2011, 4 (1) : 155-168. doi: 10.3934/dcdss.2011.4.155
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##### References:
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