Renormalization group theory of Bolgiano scaling in Boussinesq turbulence
Abstract
Bolgiano scaling in Boussinesq turbulence is analyzed using the YakhotOrszag renormalization group. For this purpose, an isotropic model is introduced. Scaling exponents are calculated by forcing the temperature equation so that the temperature variance flux is constant in the inertial range. Universal amplitudes associated with the scaling laws are computed by expanding about a logarithmic theory. Connections between this formalism and the direct interaction approximation are discussed. It is suggested that the YakhotOrszag theory yields a lowest order approximate solution of a regularized direct interaction approximation which can be corrected by a simple iterative procedure.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 May 1994
 Bibcode:
 1994STIN...9433070R
 Keywords:

 Boussinesq Approximation;
 Fluid Dynamics;
 Free Convection;
 Isotropic Turbulence;
 Renormalization Group Methods;
 Turbulence Models;
 Iterative Solution;
 Scaling Laws;
 Transport Properties;
 Turbulent Flow;
 Fluid Mechanics and Heat Transfer