Chaotic quasi-point vortices and inertial range in two-dimensional turbulence

Abstract

Effects of quasi-point vortices on the inertial range of scales in homogeneous two-dimensional turbulence (classic and quantum) have been studied using the notion of distributed chaos. Results of direct numerical simulations of decaying turbulence, turbulence with small-scale forcing, and turbulent thermal convection on a sphere as well as results of the Global Atmospheric Sampling Program (GASP) measurements in the tropospheric and stratospheric turbulence over mountainous terrain (the small-scale forcing) have been used for this purpose. The superfluid and Bose-Einstein two-dimensional turbulence have been discussed in this context using the results of direct numerical simulations of the HVBK and Gross-Pitaevskii models, and the laboratory experiments. The Ginsburg-Landau model was also briefly discussed.