Characterizing Spatio-temporal Complexity in Fluid Flow Using Computational Homology

Tuesday, February 11, 2014 - 3:15pm - 4:05pm
Keller 3-180
Michael Schatz (Georgia Institute of Technology)
Mathematical tools based on algebraic topology (homology) provide new ways to
describe complex patterns of fluid flow observed in laboratory experiments.
First, we will discuss how homology can be used to quantify
non-Oberbeck-Boussinesq (NOB) effects in weakly turbulent Rayleigh-Benard convection patterns.
We then will describe homology-based methods to measure dynamical
finite-size effects in spatiotemporally-chaotic convective flows. Finally, we will
outline work in progress in which topological characteristics of fluid flows from both lab experiments and
corresponding numerical simulations are encoded in persistence diagrams.
MSC Code: