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NJIT Applied Mathematics Colloquium

Friday, March 25 2011, 11:30am
Cullimore Lecture Hall II
New Jersey Institute of Technology

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Characterizing spatio-temporal complexity in fluid flow using computational homology

Mike Schatz

Georgia Tech


Abstract

Mathematical tools based on algebraic topology (homology) provide new ways to characterize complex patterns of fluid flow observed in laboratory experiments. In this talk, we discuss how homology can be used to characterize quantitatively non-Oberbeck-Boussinesq (NOB) effects in weakly turbulent Rayleigh-Benard convection patterns. In addition, we show that homology can be used to measure quantitatively dynamical finite-size effects in spatiotemporally-chaotic convective flows.




Last Modified: March 2011
Linda Cummings
L i n d a . J . C u m m i n g s @ n j i t . e d u