以重整群分析紊流模式(I)
Date Issued
2000-07-31
Date
2000-07-31
Author(s)
DOI
892212E002067
Abstract
The study starts with a brief review on recent
development of renormalization group analysis for
incompressible turbulence. It is found fruitful to take
the simple hypothesis that large-scale eddies are
statistically independent of those of smaller scales. A
recursive renormalization procedure is then proposed
for turbulence governed by the Navier-Stokes equation
in an exact manner that a nonlinear triple term
appearing in early treatment can be dispensed with in
the present formulation. By employing the combined
form of the scaling laws proposed respectively by Pao
and Leslie \& Quarini for the energy spectrum, the
relevant exponents for the spectrum are completely
determined. Furthermore, the limiting operation of
renormalization group analysis yields an
inhomogeneous ordinary differential equation for the
invariant effective eddy viscosity. The closed-form
solution of the equation facilitates derivation of the
Smagorinsky model for large-eddy simulation of
turbulent flow, which reveals the explicit dependence
of the model constant on the cutoff size and other
characteristic wavenumbers.
Subjects
turbulence
renormalization group
effective eddy viscosity
Kolmogorov constant
energy spectrum
large-eddy
simulation
simulation
Smagorinsky model.
Publisher
臺北市：國立臺灣大學應用力學研究所
Type
report
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