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.
4.pdf - Published Version
Restricted to Registered users only
Download (273Kb) | Request a copy
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|
|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|
Actions (login required)