signature=27fe40dfd620feec0260ffd4e7d59216,APS -2005 58th Annual Meeting of the Division of Fluid Dy...

2005 58th Annual Meeting of the Division of Fluid Dynamics

Sunday–Tuesday, November 20–22, 2005;

Chicago, IL

Session NU: Convection and Buoyancy Driven Flows VI

11:01 AM–1:11 PM,

Tuesday, November 22, 2005

Hilton Chicago

Room: Marquette

Chair: Guenter Ahlers, University of California, Santa Barbara

Abstract ID: BAPS.2005.DFD.NU.5

Abstract: NU.00005 : Homological Characterization of Spiral Defect Chaos*

11:53 AM–12:06 PM

Authors:

Michael Schatz

Marcio Gameiro

Konstantin Mischaikow

(Georgia Institute of Technology)

Kapil Krishan

(University of California, Irvine)

Santiago Madruga

Hermann Riecke

(Northwestern University)

Relating the global structure of patterns to underlying dynamics is

an important aspect of the study of complex systems. We use the

mathematics

of homology to characterize data from laboratory experiments and

numerical

simulations of spiral defect chaos, a weakly turbulent

state of Rayleigh-Benard convection. We note

observations implying asymmetries between hot and cold flows, novel

measures of boundary influence and indicators of system control

parameters.

We also find the evolution of the global structure of the flow

to be primarily

stochastic unlike the locally chaotic signatures reported

previously.

*Supported by DOE and NSF

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2005.DFD.NU.5