Effect of spatial dimension on a model of fluid turbulence
Open Access
- 15 February 2021
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
Abstract
A numerical study of the -dimensional enstrophy analogue is derived and related to the velocity derivative skewness. Comparisons are made to recent four-dimensional direct numerical simulation results. Measured energy spectra show a magnified bottleneck effect which grows with dimension whilst transfer spectra show a varying peak in the nonlinear energy transfer as the dimension is increased. These results are consistent with an increased forward energy transfer at higher dimensions, further evidenced by measurements of a larger asymptotic dissipation rate with growing dimension. The enstrophy production term, related to the velocity derivative skewness, is seen to reach a maximum at around five dimensions and may reach zero in the limit of infinite dimensions, raising interesting questions about the nature of turbulence in this limit.This publication has 68 references indexed in Scilit:
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