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Anomalous Scaling of Structure Functions and Dynamic Constraints on Turbulence Simulations

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Abstract

The connection between anomalous scaling of structure functions (intermittency) and numerical methods for turbulence simulations is discussed. It is argued that the computational work for direct numerical simulations (DNS) of fully developed turbulence increases as Re 4, and not as Re 3 expected from Kolmogorov’s theory, where Re is a large-scale Reynolds number. Various relations for the moments of acceleration and velocity derivatives are derived. An infinite set of exact constraints on dynamically consistent subgrid models for Large Eddy Simulations (LES) is derived from the Navier–Stokes equations, and some problems of principle associated with existing LES models are highlighted

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Authors and Affiliations

  1. Department of Aerospace and Mechanical Engineering, Boston University, Boston, 02215

    Victor Yakhot

  2. International Center for Theoretical Physics, Trieste, Italy

    Katepalli R. Sreenivasan

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  1. Victor Yakhot
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  2. Katepalli R. Sreenivasan
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Correspondence to Katepalli R. Sreenivasan.

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Yakhot, V., Sreenivasan, K.R. Anomalous Scaling of Structure Functions and Dynamic Constraints on Turbulence Simulations. J Stat Phys 121, 823–841 (2005). https://doi.org/10.1007/s10955-005-8666-6

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  • DOI: https://doi.org/10.1007/s10955-005-8666-6

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