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A moment model for vortex interactions of the two-dimensional Euler equations. I. Computational validation of a Hamiltonian elliptical representation. (English) Zbl 0602.76026
The authors consider the evolution of finite uniform vorticity regions in an unbounded inviscid fluid. A perturbation analysis is performed based on the assumption that the regions are far away from each other and are nearly circular. Some computational comparisons with solutions obtained from the contour-dynamical representation of the two-dimensional Euler equations are reported. The authors then conclude, using numerical evidence, that their model is useful and quite accurate.
Reviewer: J.Burbea

MSC:
76B47 Vortex flows for incompressible inviscid fluids
76E30 Nonlinear effects in hydrodynamic stability
35Q30 Navier-Stokes equations
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