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

Guowei He·Shiyi Chen·Robert. H. Kraichnan·Raoyang Zhang·Ye Zhou
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Abstract

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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Guowei He, Shiyi Chen, Robert. H. Kraichnan, Raoyang Zhang, Ye Zhou. 1998-03-19. Statistics of Dissipation and Enstrophy Induced by a Set of Burgers Vortices. https://doi.org/10.1103/physrevlett.81.4636

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