Wavelet analysis of Navier-Stokes flow

Three-dimensional turbulence is analyzed by wavelet transform. To keep the number of degrees of freedom in appropriate bounds, a reduced set of wavelets is used. Integrating the equation of motion, the following results an obtained: We find strong intermittent fluctuations of the energy dissipation rate and of the vorticity in the viscous range. The vorticity shows the tendency of alignment with the direction of least shear and is organized within elongated tubes. Inertial range properties of the flow are addressed by means of an eddy viscosity or by strongly reducing the spatial resolution of the wavelet basis. In the high Reynolds number limit there seem to be hardly any scaling corrections to the -5/3-1aw in accordance with other recent results.