Abstract
We discuss the small-scale energy spectrum E(k) of two-dimensional fully developed turbulence. As its scaling exponent is related to the fractal dimension of isovorticity lines, we suggest that it could be nonuniversal with a dependence on the particular class of initial conditions considered. This should explain the different values obtained in numerical experiments for decaying turbulence and for statistically stationary forced turbulence with particular kinds of forcing. Finally, the scaling E(k)\ensuremath{\sim}${\mathit{k}}^{\mathrm{\ensuremath{-}}3}$ is related to the most random situation where the vorticity can be considered as a scalar passively advected by the velocity field.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physical review. A, Atomic, molecular, and optical physics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
