Statistics of Dissipation and Enstrophy Induced by a Set of Burgers Vortices

Details Statistics of Dissipation and Enstrophy Induced by a Set of Burgers Vortices Statistics of Dissipation and Enstrophy Induced by a Set of Burgers Vortices

1998-03-19

arxiv.org/abs/chao-dyn/9803029v1

Nonlinear Sciences

Chaotic Dynamics

Revtex (4 pages) with 4 postscript figures included via psfig

Scientific paper

10.1103/PhysRevLett.81.4636

Dissipation and enstropy statistics are calculated for an ensemble of modified Burgers vortices in equilibrium under uniform straining. Different best-fit, finite-range scaling exponents are found for locally-averaged dissipation and enstrophy, in agreement with existing numerical simulations and experiments. However, the ratios of dissipation and enstropy moments supported by axisymmetric vortices of any profile are finite. Therefore the asymptotic scaling exponents for dissipation and enstrophy induced by such vortices are equal in the limit of infinite Reynolds number.

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