Paul, M. R. and Einarsson, M. I. and Fischer, P. F. and Cross, M. C. (2007) Extensive chaos in Rayleigh-Bénard convection. Physical Review E, 75 (4). Art. No. 045203(R). ISSN 1539-3755. https://resolver.caltech.edu/CaltechAUTHORS:PAUpre07a
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Abstract
Using large-scale numerical calculations we explore spatiotemporal chaos in Rayleigh-Bénard convection for experimentally relevant conditions. We calculate the spectrum of Lyapunov exponents and the Lyapunov dimension describing the chaotic dynamics of the convective fluid layer at constant thermal driving over a range of finite system sizes. Our results reveal that the dynamics of fluid convection is truly chaotic for experimental conditions as illustrated by a positive leading-order Lyapunov exponent. We also find the chaos to be extensive over the range of finite-sized systems investigated as indicated by a linear scaling between the Lyapunov dimension of the chaotic attractor and the system size.
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| Additional Information: | ©2007 The American Physical Society (Received 15 August 2006; published 26 April 2007) We are grateful for many useful interactions with Janet Scheel and Anand Jayaraman. We also acknowledge generous support from Argonne National Laboratory under DOE Contract No. DE-AC02-06CH11357, NSF Teragrid under Grant No. MCA03T028, and Virginia Tech’s Terascale Computing Facility for grants of supercomputing resources. The early stages of this research was supported by the U.S. Department of Energy, Grant No. DE-FT02-98ER14892. | ||||||
| Subject Keywords: | Benard convection; Rayleigh-Benard instability; chaos; spatiotemporal phenomena; flow simulation; Lyapunov methods | ||||||
| Issue or Number: | 4 | ||||||
| Record Number: | CaltechAUTHORS:PAUpre07a | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:PAUpre07a | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 8552 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Archive Administrator | ||||||
| Deposited On: | 20 Aug 2007 | ||||||
| Last Modified: | 02 Oct 2019 23:52 |
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