Vortex dynamics and the Navier–Stokes equations constitute a cornerstone of fluid dynamics, offering profound insights into the behaviour of complex flows. Vortices, with their swirling motions and ...

This is a preview. Log in through your library . Abstract We consider incompressible 2d Navier-Stokes equations in the whole plane with external nonconservative forces fields. The initial data and ...

SIAM Journal on Numerical Analysis, Vol. 24, No. 3 (Jun., 1987), pp. 538-582 (45 pages) We prove the convergence of a large class of vortex methods for two-dimensional incompressible, inviscid flows ...