A Renormalization Group Study of Three-Dimensional Turbulence
نویسندگان
چکیده
منابع مشابه
A Renormalisation Group Study of Three Dimensional Turbulence
We study the three dimensional Navier-Stokes equation with a random Gaussian force acting on large wavelengths. Our work has been inspired by Polyakov's analysis of steady states of two dimensional turbulence. We investigate the time evolution of the probability law of the velocity potential. Assuming that this probability law is initially defined by a statistical field theory in the basin of a...
متن کاملRenormalization Group on Turbulence
In 1986, Yakhot and Orszag developed a dynamic renormalization group method to solve the turbulence problem. In this paper, a particular random force is added to the Navier-Stokes Equation, and then following the standard renormalization group procedure, renormalization group equations and fixed points can be obtained. Together with some perturbation methods, many important turbulent constants ...
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The direct interaction approximation (DIA), due to Kraichnan [1], was the first field-theoretical approach to the theory of turbulence. Formulated in terms of the Dyson equation, the DIA is characterized as the lowest-order approximation that includes nonlinear corrections to the propagator for the mode v(k,a>). It was shown [1] that, in the inertial range, the DIA gives the energy spectrum is ...
متن کاملRenormalization group analysis of turbulence
1. Objective The objective is to understand and extend a recent theory of turbulence based on dynamic renormalization group (RNG) techniques. The application of RNG methods to hydrodynamic turbulence has been explored most extensively by Yakhot and Orszag (1986). They calculate an eddy viscosity consistent with the Kolmogorov inertial range by systematic elimination of the small scales in the f...
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The renormalization group (RNG) theory is applied to magnetohydrodynamic (MHD) equations written in Elshser variables, as done by Yakhot and Orszag for Navier-Stokes equations. As a result, a system of coupled nonlinear differential equations for the “effective” or turbulent “viscosities” is obtained. Without solving this system, it is possible to prove their exponential behavior at the “fixed ...
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ژورنال
عنوان ژورنال: Journal de Physique I
سال: 1997
ISSN: 1155-4304,1286-4862
DOI: 10.1051/jp1:1997190