Hyperviscosity, Galerkin truncation, and bottlenecks in turbulence |
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Authors: | Frisch Uriel Kurien Susan Pandit Rahul Pauls Walter Ray Samriddhi Sankar Wirth Achim Zhu Jian-Zhou |
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Institution: | Laboratoire Cassiopée, OCA, UNS, CNRS, BP 4229, 06304 Nice cedex 4, France. |
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Abstract: | It is shown that the use of a high power alpha 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)10.1103/Phys. Rev. Lett. 95.264502]. The energy bottleneck observed for finite alpha may be interpreted as incomplete thermalization. Artifacts arising from models with alpha>1 are discussed. |
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