Investigation of renormalization group methods for the numerical simulation of isotropic turbulence

Details Investigation of renormalization group methods for the numerical simulation of isotropic turbulence Investigation of renormalization group methods for the numerical simulation of isotropic turbulence

1998-06-19

arxiv.org/abs/physics/9806028v1

Physics

Fluid Dynamics

5 pages; 7 figures; latex; presented at the Eleventh Symposium on Turbulent Shear Flows in Grenoble, September 8-11, 1997

Scientific paper

Renormalization group has enjoyed successes in other areas of statistical physics. However, its application to turbulence faces several technical difficulties, which have had to be circumvented by uncontrolled approximations. Indeed, in view of the deterministic nature of the Navier-Stokes equations, it is clear that the operation of averaging out the high-wavenumber modes while keeping the low-wavenumber modes constant, cannot be done rigorously and in itself can only be an approximation. With points like this in mind, we have recently adopted direct numerical simulation as a tool for probing the basic feasibility of using RG techniques to reduce the number of degrees of freedom requiring to be numerically simulated. In this paper, we present some of the first results of this approach.

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