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Hyperviscosity, galerkin truncation, and bottlenecks in turbulence

Uriel, Frisch and Kurien, Susan and Pandit, Rahul and Walter, Pauls and Ray, Sankar Samriddhi and Achim, Wirth and Zhu, Jian-Zhou (2008) Hyperviscosity, galerkin truncation, and bottlenecks in turbulence. In: Physical Review Letters, 101 (14). pp. 4501-4504.

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Official URL: http://arxiv.org/abs/0803.4269


It is shown that the use of a high power of the Laplacian in the dissipative term of hydrodynamical equations leads asymptotically to truncated inviscid conservative dynamics with a finite range of spatial Fourier modes. Those at large wave numbers thermalize, whereas modes at small wave numbers obey ordinary viscous dynamics [C. Cichowlas et al., Phys. Rev. Lett. 95, 264502 (2005)]. The energy bottleneck observed for finite may be interpreted as incomplete from models with alpha> 1 are discussed.

Item Type: Journal Article
Publication: Physical Review Letters
Publisher: American Physical Society
Additional Information: Copyright of this article belongs to American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 30 Mar 2009 06:30
Last Modified: 09 Jan 2013 05:06
URI: http://eprints.iisc.ac.in/id/eprint/16476

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