TITLE:

Vortex rings: nature, physics, mathematics and computations

DATE:

Friday, February 21st, 2014

TIME:

3:30 PM

LOCATION:

GMCS 214

SPEAKER:

Dr. Ricardo Carretero. Department of Mathematics and Statistics Computational Science Research Center.

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 Schrödinger

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:

Dr. Jose Castillo

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