| Exploring spiral defect chaos in generalized Swift-Hohenberg models with mean flow. | |
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MedLine Citation:
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PMID: 22181253 Owner: NLM Status: Publisher |
Abstract/OtherAbstract:
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We explore the phenomenon of spiral defect chaos in two types of generalized Swift-Hohenberg model equations that include the effects of long-range drift velocity or mean flow. We use spatially extended domains and integrate the equations for very long times to study the pattern dynamics as the magnitude of the mean flow is varied. The magnitude of the mean flow is adjusted via a real and continuous parameter that accounts for the fluid boundary conditions on the horizontal surfaces in a convecting layer. For weak values of the mean flow, we find that the patterns exhibit a slow coarsening to a state dominated by large and very slowly moving target defects. For strong enough mean flow, we identify the existence of spatiotemporal chaos, which is indicated by a positive leading-order Lyapunov exponent. We compare the spatial features of the mean flow field with that of Rayleigh-Bénard convection and quantify their differences in the neighborhood of spiral defects. |
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Authors:
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A Karimi; Zhi-Feng Huang; M R Paul |
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Publication Detail:
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Type: JOURNAL ARTICLE Date: 2011-10-28 |
Journal Detail:
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Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 84 ISSN: 1550-2376 ISO Abbreviation: - Publication Date: 2011 Oct |
Date Detail:
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Created Date: 2011-12-20 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: - |
Other Details:
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Languages: ENG Pagination: 046215 Citation Subset: - |
Affiliation:
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Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, USA. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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