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Renormalization-group theory for the eddy viscosity in subgrid modelingRenormalization-group theory is applied to incompressible three-dimensional Navier-Stokes turbulence so as to eliminate unresolvable small scales. The renormalized Navier-Stokes equation now includes a triple nonlinearity with the eddy viscosity exhibiting a mild cusp behavior, in qualitative agreement with the test-field model results of Kraichnan. For the cusp behavior to arise, not only is the triple nonlinearity necessary but the effects of pressure must be incorporated in the triple term. The renormalized eddy viscosity will not exhibit a cusp behavior if it is assumed that a spectral gap exists between the large and small scales.
Document ID
19880043995
Document Type
Reprint (Version printed in journal)
Authors
Zhou, YE (College of William and Mary Williamsburg, VA, United States)
Vahala, George (College of William and Mary Williamsburg, VA, United States)
Hossain, Murshed (New York University NY, United States)
Date Acquired
August 13, 2013
Publication Date
April 1, 1988
Publication Information
Publication: Physical Review A - General Physics, 3rd Series
Volume: 37
ISSN: 0556-2791
Subject Category
FLUID MECHANICS AND HEAT TRANSFER
Distribution Limits
Public
Copyright
Other