Real-space Manifestations of Bottlenecks in Turbulence Spectra

An energy-spectrum bottleneck, a bump in the turbulence spectrum between the inertial and dissipation ranges, is shown to occur in the non-turbulent, one-dimensional, hyperviscous Burgers equation and found to be the Fourier-space signature of oscillations in the real-space velocity, which are explained by boundary-layer-expansion techniques....

Scaling properties of compressible polytropic turbulence

An exact relation has been derived for homogeneous polytropic turbulence in terms of the two-point fluctuations. Unlike isothermal turbulence, the fluctuating sound speed appears to be a key factor in determining the scaling properties of polytropic turbulence. Three Mach numbers (current, gradient and turbulent Mach number) are defined to...