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Turbulence and Shear Flow Phenomena -1 First International Symposium

ISBN:
1-56700-135-1 (Print)

INVESTIGATION OF THE RENORMALIZATION GROUP USING NUMERICAL SIMULATIONS OF TURBULENCE

Adrian Hunter
Department of Physics and Astronomy University of Edinburgh James Clerk Maxwell Building Mayfield Road Edinburgh EH9 3JZ United Kingdom

Craig Johnston
Department of Physics and Astronomy University of Edinburgh James Clerk Maxwell Building Mayfield Road Edinburgh EH9 3JZ United Kingdom

David McComb
Department of Physics and Astronomy University of Edinburgh James Clerk Maxwell Building Mayfield Road Edinburgh EH9 3JZ United Kingdom

Alistair Young
Department of Physics and Astronomy University of Edinburgh James Clerk Maxwell Building Mayfield Road Edinburgh EH9 3JZ United Kingdom

Abstract

We consider the possibility of obtaining an eddy-viscosity for large-eddy simulations by applying Renormalization-Group methods to the Navier-Stokes equation. We outline how the introduction of a conditional averaging procedure may allow us to perform such a calculation as an approximation, and look at how the results of direct numerical simulations can be used to test the assumptions made therein. Finally, we examine and discuss the results obtained by performing a large-eddy simulation using the resulting eddy-viscosity.