Inertial range scaling in numerical turbulence with hyperviscosity

Details Inertial range scaling in numerical turbulence with hyperviscosity Inertial range scaling in numerical turbulence with hyperviscosity

2004-02-12

arxiv.org/abs/astro-ph/0402301v3

Phys.Rev. E70 (2004) 026405

Astronomy and Astrophysics

Astrophysics

Final version (7 pages)

Scientific paper

10.1103/PhysRevE.70.026405

Numerical turbulence with hyperviscosity is studied and compared with direct simulations using ordinary viscosity and data from wind tunnel experiments. It is shown that the inertial range scaling is similar in all three cases. Furthermore, the bottleneck effect is approximately equally broad (about one order of magnitude) in these cases and only its height is increased in the hyperviscous case--presumably as a consequence of the steeper decent of the spectrum in the hyperviscous subrange. The mean normalized dissipation rate is found to be in agreement with both wind tunnel experiments and direct simulations. The structure function exponents agree with the She-Leveque model. Decaying turbulence with hyperviscosity still gives the usual t^{-1.25} decay law for the kinetic energy, and also the bottleneck effect is still present and about equally strong.

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