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Renormalization group estimates of transport coefficients in the advection of a passive scalar by incompressible turbulenceThe advection of a passive scalar by incompressible turbulence is considered using recursive renormalization group procedures in the differential sub grid shell thickness limit. It is shown explicitly that the higher order nonlinearities induced by the recursive renormalization group procedure preserve Galilean invariance. Differential equations, valid for the entire resolvable wave number k range, are determined for the eddy viscosity and eddy diffusivity coefficients, and it is shown that higher order nonlinearities do not contribute as k goes to 0, but have an essential role as k goes to k(sub c) the cutoff wave number separating the resolvable scales from the sub grid scales. The recursive renormalization transport coefficients and the associated eddy Prandtl number are in good agreement with the k-dependent transport coefficients derived from closure theories and experiments.
Document ID
19930014232
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Zhou, YE (Institute for Computer Applications in Science and Engineering Hampton, VA, United States)
Vahala, George (Institute for Computer Applications in Science and Engineering Hampton, VA, United States)
Date Acquired
September 6, 2013
Publication Date
February 1, 1993
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
AD-A263150
NAS 1.26:191421
ICASE-93-1
NASA-CR-191421
Accession Number
93N23421
Funding Number(s)
PROJECT: RTOP 505-90-52-01
CONTRACT_GRANT: NAS1-19480
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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