Fractal Modeling of Turbulence
For now this is just a place holder to discuss topics about fractals. For related topics see my post on Kolmogorov’s Turbulance. I would like to present the quote though to illustrate the difficulty of using numerical methods to solve Naiver Stokes equations:
1.1. Statement of the problem Many flows of interest in science and engineering display complex spatial and temporal structures (eddies) spanning a wide range of scales. The ratio between the largest (L) and smallest ( ) scale can easily exceed in typical engineering applications, and can be as high as or higher in geophysical applications. Since the nonlinear interaction between eddies of different sizes eludes even the most sophisticated analytical approaches, one must resort to either extensive experimentation or direct numerical simulation (DNS) of the governing equations. The latter approach has gained strength by the rapid increase in the power of digital computers during the past 20 years. Despite this fact, DNS of flows for which the ratio $latex L/ \eta $ is much larger than are still prohibitive
http://www.me.jhu.edu/meneveau/pdfpapers/ScottiMeneveau99.pdf
More papers on fractals and turbulance can be found here:
http://www.me.jhu.edu/~meneveau/pubsfractals.html
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Found this paper on another forum:
http://www.fractalforums.com/fluiddynamicsturbulenceandweatherprediction/whichdirection/
It looks like a nice light read. 🙂
https://www.fractalus.com/kerry/articles/vortical_flow1.pdf
Comment by s243a  September 3, 2009 
Here are some posts about fractals at Climate Audit:
Fractals And Turbulence
Fractal properties of ST and interpretation of ST data”
Comment by s243a  September 3, 2009 
A more detailed Breakdown of the link given in my above post:
Contains a simplified explanation of the delta v turbulence equations:
http://www.me.jhu.edu/meneveau/current.html
A Breakdown of turbulence topics by Categories:
http://www.me.jhu.edu/meneveau/publications.html
Specifically:
Laboratory experimental studies of turbulence and LES models
Numerical and theoretical studies of turbulence and LES models
Studies of atmospheric turbulence
Turbulent combustion, dispersion and multiphase flow
Turbomachinery flows
Fluid mechanics of oceanic microorganism feeding
Fractals and multifractals in turbulence
Wavelets
Theses
Comment by s243a  September 3, 2009 