以重整群分析耦合場紊流模式(II)
Date Issued
2005-07-31
Date
2005-07-31
Author(s)
DOI
932212E002037
Abstract
In this study, we continue with a recursive renormalization group (RG) analysis
of incompressible turbulence, aiming at investigating various turbulent
properties of three-dimensional magneto-hydrodynamics (MHD). In particular,
we are able to locate the fixed point (i.e. the invariant effective eddy viscosity)
of the RG transformation under the following conditions. (i) The mean magnetic
induction is relatively weak compared to the mean flow velocity. (ii) The
Alfv´en effect holds, that is, the fluctuating velocity and magnetic induction are
nearly parallel and approximately equal in magnitude. It is found under these
conditions that re-normalization does not incur an increment of the magnetic
resistivity, while the coupling effect tends to reduce the invariant effective eddy
viscosity. Both the velocity and magnetic energy spectra are shown to follow the
Kolmogorov k−5/3 in the inertial subrange; this is consistent with some laboratory
measurements and observations in astronomical physics. By assuming further
that the velocity and magnetic induction share the same specified form of energy
spectrum, we are able to determine the dependence of the (magnetic)
Kolmogorov constant CK (CM) and the model constant CS of the Smagorinsky
model for large-eddy simulation on some characteristic wavenumbers.
Subjects
Renormalization group analysis
magnetohydrodynamic turbulence
effective eddy viscosity
magnetic resistivity
Publisher
臺北市：國立臺灣大學應用力學研究所
Type
report
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