  Turbulent hydrodynamics is characterised by universal scaling properties of
its structure functions. The basic framework for investigations of these
functions has been set by Kolmogorov in 1941. His predictions for the scaling
exponents, however, deviate from the numbers found in experiments and numerical
simulations. It is a challenge for theoretical physics to derive these
deviations on the basis of the Navier-Stokes equations. The renormalisation
group is believed to be a very promising tool for the analysis of turbulent
systems, but a derivation of the scaling properties of the structure functions
has so far not been achieved. In this work, we recall the problems involved,
present an approach in the framework of the exact renormalisation group to
overcome them, and present first numerical results.
