Renormalization Methods Applied to Turbulence Theory

Part of the International Centre for Mechanical Sciences book series (CISM, volume 442)


In these notes the turbulence problem is interpreted as one in many-body physics. We consider the many-body problem, along with the concept of renormalization, and show how the methods of renormalized perturbation theory have been applied to turbulence. Then a review and assessment of the two-point, two-time closures which arise from renormalized perturbation theory is given. After that, renormalization group is introduced as a more limited but potentially more rigorous way of applying perturbation methods to turbulence with particular relevance to the sub-grid modelling problem. We conclude with a brief discussion of the possible application of these methods to more realistic problems in shear flows.


Partition Function Dissipation Rate Ising Model Isotropic Turbulence Perturbation Expansion 
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© Springer-Verlag Wien 2002

Authors and Affiliations

  1. 1.Department of Physics and AstronomyThe University of EdinburghEdinburghScotland

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