Abstract
The influence of background rotation on all nontrivial third-order vorticity correlations is studied for an unbounded incompressible homogeneous turbulent flow, using pseudo-spectral direct numerical simulation. The behaviour of third-order vorticity correlations is found to be consistent with exact theoretical predictions presented herein for axisymmetric turbulence without mirror symmetry. Particular attention is given to the vertical vorticity skewness S ω3. Its dependence on the viscosity, the initial value of the velocity gradient skewness, and the background rotation rate has been thoroughly investigated. The initial growth rate of S ω3 provides evidence for a power-law behaviour proportional to t 0.75 ± 0.1 for all considered cases, in agreement with recent experimental results by Morize et al. [Phys. Fluids 17 (2005) 095105]. It is also found that higher background rotation rates – implying more linearity – result in lower final values of while lower viscosities and lower initial (absolute) values of the velocity derivative skewness both yield higher final values of S ω3.
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