Anomalous Scaling of Structure Functions and Dynamic Constraints on Turbulence Simulations |
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Authors: | Victor Yakhot Katepalli R Sreenivasan |
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Institution: | (1) Department of Aerospace and Mechanical Engineering, Boston University, Boston, 02215;(2) International Center for Theoretical Physics, Trieste, Italy |
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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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Keywords: | Hydrodynamic turbulence anomalous scaling direct numerical simulations large eddy simulations |
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