244 citations · 253 across the 4 of their papers we have counts for
4 papers
Evolving geometry of a vortex triangle
Vikas S. Krishnamurthy, Hassan Aref, Mark A. Stremler
The motion of three interacting point vortices in the plane can be thought of as the motion of three geometrical points endowed with a dynamics. This motion can therefore be re-for…
Frontiers of chaotic advection
Hassan Aref, John R. Blake, Marko Budišić +20
This work reviews the present position of and surveys future perspectives in the physics of chaotic advection: the field that emerged three decades ago at the intersection of fluid…
Scale-free nonlinear conservative cascades and their stationary spectra
Dmitri O. Pushkin, Hassan Aref
We show that a variety of complex processes can be viewed from the unified standpoint of scale-free nonlinear conservative cascades. Examples include certain turbulence models, per…
Topological fluid mechanics of point vortex motions
Philip Boyland, Mark Stremler, Hassan Aref
Topological techniques are used to study the motions of systems of point vortices in the infinite plane, in singly-periodic arrays, and in doubly-periodic lattices. The reduction o…