TITLE:

Vortex rings: Nature, physics, mathematics and computations

DATE:

Friday, March 22nd, 2019

TIME:

3:30 PM

LOCATION:

GMCS 214

SPEAKER:

Dr. Ricardo Carretero, Department of Mathematics and Statistics.

ABSTRACT:

We will explore the beautiful and complex world of vortex rings.
A vortex ring is formed when a vortex line (a “twister”) is
looped back onto itself creating a close ring that carries
vorticity. Vortex rings are commonplace in fluids. For example,
in liquids, many species of marine mammals know how to create
them, play with them and even use them to catch prey! Smoke rings
in gases are also common. In fact not only people can make smoke
rings, but volcanoes and chimneys are also at it!

We will focus on the occurrence of vortex rings in superfluids
(fluids without viscosity) described by the nonlinear Schrodinger
equation. We showcase some of their phenomenology including,
internal excitation waves (Kelvin modes), their mutual interactions,
collisions, and scattering scenarios. We also briefly discuss
an efficient computational implementation for solving the ensuing
partial differential equations using GPU accelerated codes that
allow for numerical integration runs of vortex rings in real time!

HOST:

Jose Castillo

DOWNLOAD:

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