The Dynamics of Isotropic Turbulence

Abstract

It has been shown in Chap. 6 how the description of an isotropic turbulent field can be simplified for an incompressible flow. In physical space, only one scalar function $f(r)$ is necessary to describe the two-point velocity correlations $R_{ij}({\varvec{r}})$. In the Fourier space, only the turbulent kinetic energy spectrum $E(k)$ is necessary to describe the corresponding velocity spectral tensor $\phi _{ij}({\varvec{k}})$. In this chapter, we consider how these functions $E(k)$ and $f(r)$ evolve with time in a decaying turbulent field.