Real-Space Manifestations of Bottlenecks in Turbulence Spectra

Frisch, Uriel; Ray, Samriddhi Sankar; Sahoo, Ganapati; Banerjee, Debarghya; Pandit, Rahul

doi:10.1103/PhysRevLett.110.064501

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Real-Space Manifestations of Bottlenecks in Turbulence Spectra

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Sahoo, Ganapati
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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引用

Frisch, U., Ray, S. S., Sahoo, G., Banerjee, D., & Pandit, R. (2013). Real-Space Manifestations of Bottlenecks in Turbulence Spectra. Physical Review Letters, 110, 064501-1-064501-5. doi:10.1103/PhysRevLett.110.064501.

引用: https://hdl.handle.net/11858/00-001M-0000-0029-1027-6

要旨

An energy-spectrum bottleneck, a bump in the turbulence spectrum between the inertial and dissipation ranges, is shown to occur in the nonturbulent, 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.