http://authors.library.caltech.edu/4340/ Scale distributions and fractal dimensions in turbulence Catrakis, Haris J. Dimotakis, Paul E. Caltech Library Services A new geometric framework connecting scale distributions to coverage statistics is employed to analyze level sets arising in turbulence as well as in other phenomena. A 1D formalism is described and applied to Poisson, lognormal, and power-law statistics. A d-dimensional generalization is also presented. Level sets of 2D spatial measurements of jet-fluid concentration in turbulent jets are analyzed to compute scale distributions and fractal dimensions. Lognormal statistics are used to model the level sets at inner scales. The results are in accord with data from other turbulent flows. 1996-10-28 Article PeerReviewed application/pdf http://authors.library.caltech.edu/4340/1/CATprl96.pdf http://resolver.caltech.edu/CaltechAUTHORS:CATprl96 Catrakis, Haris J. and Dimotakis, Paul E. (1996) Scale distributions and fractal dimensions in turbulence. Physical Review Letters, 77 (18). pp. 3795-3798. ISSN 0031-9007 http://resolver.caltech.edu/CaltechAUTHORS:CATprl96 <http://resolver.caltech.edu/CaltechAUTHORS:CATprl96> http://authors.library.caltech.edu/4340/http://authors.library.caltech.edu/4340/1/