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 ...
Vortex dynamics simulations reveal reconnection, an important property linked with creation of turbulence cascade, fluid mixing, and aerodynamic noise generation. Turbulent pipe flow simulated at high ...
A team of researchers affiliated with UNIST has made a significant breakthrough by mathematically proving that a special type of vortex pair, called the Sadovskii vortex patch, can exist within ideal ...
AbstractThe Sadovskii vortex patch is a traveling wave for the two-dimensional incompressible Euler equations consisting of an odd symmetric pair of ...