Abstract
At numerical resolutions around and above, three-dimensional energy spectra from turbulence simulations begin to show noticeably shallower spectra than 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.
- Received 14 March 2003
DOI:https://doi.org/10.1103/PhysRevE.68.026304
©2003 American Physical Society