Bottleneck effect in three-dimensional turbulence simulations
Abstract
At numerical resolutions around 5123 and above, three-dimensional energy spectra from turbulence simulations begin to show noticeably shallower spectra than k-5/3 near the dissipation wave number (“bottleneck effect”). This effect is shown to be significantly weaker in one-dimensional spectra such as those obtained in wind tunnel turbulence. The difference can be understood in terms of the transformation between the one-dimensional and three-dimensional energy spectra under the assumption that the turbulent velocity field is isotropic. Transversal and longitudinal energy spectra are similar and can both accurately be computed from the full three-dimensional spectra. Second-order structure functions are less susceptible to the bottleneck effect and may be better suited for inferring the scaling exponent from numerical simulation data.
- Publication:
-
Physical Review E
- Pub Date:
- August 2003
- DOI:
- 10.1103/PhysRevE.68.026304
- arXiv:
- arXiv:astro-ph/0303324
- Bibcode:
- 2003PhRvE..68b6304D
- Keywords:
-
- 47.27.Gs;
- 47.27.Ak;
- 47.11.+j;
- 47.27.Eq;
- Isotropic turbulence;
- homogeneous turbulence;
- Fundamentals;
- Astrophysics;
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 8 pages, 6 figures