What is the blog?

This blog is a re-interpretation of the tessendorf.org website I had for several years. At the moment I am putting up the papers and reports page. Eventually I will put up the other pages on frumple and old Arete Image Software materials. You can also find this information at my university page

Thursday, October 6, 2011

Mean-Field Burgers' Model of Turbulence
J. Tessendorf
October, 1983
Brown University Dept of Physics Report BROWN-HET-516
A mean-field expansion of the Martin, Siggia, and Rose functional formalism for turbulence is proposed as a "strong-coupling" approximation. To carry out the expansion, the volume of the wavenumber space must be truncated to a large but finite amount. Burgers' model with homogeneous average flow is examined in detail to several orders of approximation. The two point cumulant is calculated. The mean-field expansion is described as a perturbation expansion, with its small parameter inversely proportional to the truncated volume of wavenumber space. Renormalization and some features of the expansion are explored.
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