Fractal geometry analysis of turbulent data

Abstract Fractal geometry methods have been used to analyze various turbulent flow data. Due to the chaotic nature of turbulence, fractal geometry offers a method of analysis which is natural to spatial and time series data. Fractal tools used here are the fractal dimension, linear fractal interpolation, and hidden variable fractal interpolation. A new method for computing the fractal dimension has been devised which can obtain the dimension of typical turbulent data by using as few as 500 data points. Two methods of performing hidden variable fractal interpolation have been developed and shown to be very effective in estimating various statistical moments of some correlated turbulent data.