Computational Homology in Rayleigh-Benard convection experiments

ORAL

Abstract

Computational homology is used to analyze the spiral defect chaos (SDC) state in Rayleigh-Benard convection. Image time series of flows visualized by shadowgraphy are used as input; the homology analysis yields Betti numbers, which counts the number of connected components and holes in the flow patterns. Probability distributions and entropies derived from the Betti number measurements are used for identifying and characterizing different states in the SDC regime.

*This work is supported by DARPA, DOE and NSF

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Authors

  • Michael Schatz

    • Georgia Institute of Technology

  • Huseyin Kurtuldu

    • Georgia Tech
    • Georgia Institute of Technology

  • Marcio Gameiro

    • Rutgers University

  • Konstantin Mischaikow

    • Rutgers University