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Cite Details

Uriel Frisch, Susan Kurien, Rahul Pandit, Walter Pauls, Samriddhi S. Ray, Achim Wirth and Jian-Zhou Zhu, "Hyperviscosity, Galerkin truncation and bottlenecks in turbulence ", Phys. Rev. Lett., vol. 101, pp. 144501, 2008


It is shown that the use of a high power α 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 α may be interpreted as incomplete thermalization. Artifacts arising from models with α> 1 are discussed.

BibTeX Entry

author = {Uriel Frisch and Susan Kurien and Rahul Pandit and Walter Pauls and Samriddhi S. Ray and Achim Wirth and Jian-Zhou Zhu},
title = {Hyperviscosity, Galerkin truncation and bottlenecks in turbulence },
year = {2008},
urlpdf = {http://math.lanl.gov/~skurien/papers/FrischKPPRWZ_hypervis_PRL2008.pdf},
journal = {Phys. Rev. Lett.},
volume = {101},
pages = {144501}