Statistical Point Vortex Theories
The theory is based on the inviscid Euler equations in two dimensions, thereby ignoring viscous dissipation (considered to be important at small scales) and vortex-stretching (considered to be important at all scales).
The theory is based on a point vortex discretization of the Euler equations thereby producing a “vortex gas,” which, while derived from the incompressible equations of motion, behaves in many respects like a compressible system with the ability of point vortices to cluster or expand.
The theory makes use of equilibrium statistical mechanics to explain asymptotic properties of turbulent flows, typically thought to be more amenable to nonequilibrium techniques able to handle large flucuations far from equilibrium.
KeywordsPoint Vortex Phase Space Volume BBGKY Hierarchy Vortex Dipole Maximum Entropy Approach
Unable to display preview. Download preview PDF.