Statistics of local Reynolds number in box turbulence: ratio of inertial to viscous forces. (English) Zbl 1489.76027
Statistics of direct numerical simulation data of forced isotropic 3D turbulence at Reynolds number of 1100, based on Taylor micro-scale, are studied. To this end a local Reynolds number is introduced considering the ratio of the inertial forces to viscous forces point-wise. It is shown that the conditional average of the local Reynolds number is almost independent of the local enstropy (the squared \(L^2\) norm of vorticity), even if both the inertial and viscous forces do grow with the local enstrophy values. A comparison with random velocity fields, which do not exhibit coherent structures, shows that the dependence of the local Reynolds number on the local enstrophy is suppressed by the nonlinear Navier-Stokes dynamics. Similar results are likewise observed for the local energy dissipation rate.
Reviewer: Kai Schneider (Marseille)
MSC:
| 76F55 | Statistical turbulence modeling |
| 76F05 | Isotropic turbulence; homogeneous turbulence |
| 76F65 | Direct numerical and large eddy simulation of turbulence |
Keywords:
forced isotropic turbulence; Taylor micro-scale; inertial force; viscous force; local Reynolds nuimber; local enstrophy; local energy dissipation rateReferences:
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