# Homogeneous isotropic turbulence

Of homogeneous turbulence a simple idealized model representation is called turbulent flows. Since turbulent flows are mathematically difficult to describe, one refers to their characterization often idealized flow patterns. Another important representation is the isotropic turbulence.

For the homogeneous turbulence that all statistical properties of the flow ( mean velocity fluctuations ) in the flow field are the same everywhere. In contrast to isotropic turbulence so there is only one translation invariance, ie independence of the variables from the position vector.

Thus applies for the Reynolds normal stresses:

The homogeneous turbulence can be realized approximately by means of a grid in a wind tunnel in the experiment. When passing through the grid, the flow turns into turbulent motion.

- Turbulent flow