Incompressible Homogeneous Isotropic Turbulence

Abstract

This chapter is devoted to isotropic incompressible turbulence. The main features of related theories are discussed, along with the recent results: energy spectrum and two-point correlations and related models, closures for non-linear terms in both physical and Fourier space, theories for grid turbulence decay including fractal grid case, non-equilibrium effects, advanced spectral theories and models for kinetic energy cascade and dynamics in physical space.