STATISTICS OF DISSIPATION AND ENSTROPHY INDUCED BY LOCALIZED VORTICES

The ratios of enstrophy and dissipation moments induced by localized v orticity are inferred to be finite. It follows that the scaling expone nts for locally averaged dissipation and enstrophy are equal. However, enstrophy and dissipation exponents measured over finite ranges of sc ales may be different. The cylindrical vortex profile that yields maxi mal moment ratios is determined. The moment ratios for cylindrical vor tices are used to interpret differences in scale dependence of enstrop hy and dissipation previously found in numerical simulations. [S0031-9 007(98)07782-5].