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arXiv · 1206.0948

Real-space Manifestations of Bottlenecks in Turbulence Spectra

Uriel Frisch·Samriddhi Sankar Ray·Ganapati Sahoo·Debarghya Banerjee·Rahul Pandit
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Abstract

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. Pseudospectral simulations are used to show that such oscillations occur in velocity correlation functions in one- and three-dimensional hyperviscous hydrodynamical equations that display genuine turbulence.

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Uriel Frisch, Samriddhi Sankar Ray, Ganapati Sahoo, Debarghya Banerjee, Rahul Pandit. 2012-06-05. Real-space Manifestations of Bottlenecks in Turbulence Spectra. https://doi.org/10.1103/physrevlett.110.064501

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