3D Displayed Multifractal Structure of Turbulent Dissipation Field

Abstract

The 3-dimensional domain with strong energy dissipation (above a certain threshold) in isotropic turbulence is displayed using a 3D generalized binomial Cantor set model, which is in itself a multifractal. This artificially made display simulates the corresponding domain of a realization of isotropic turbulence by direct numerical simulation so well that we may be convinced that all dissipative regions in real turbulence form the multifractal designated by this model, and that the domain surface has a fractal dimension corresponding to the threshold value.