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Scaling laws for rotating Rayleigh-Bénard convection

Scheel, J. D. and Cross, M. C. (2005) Scaling laws for rotating Rayleigh-Bénard convection. Physical Review E, 72 (5). Art. No. 056315. ISSN 1539-3755. doi:10.1103/PhysRevE.72.056315.

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Numerical simulations of large aspect ratio, three-dimensional rotating Rayleigh-Bénard convection for no-slip boundary conditions have been performed in both cylinders and periodic boxes. We have focused near the threshold for the supercritical bifurcation from the conducting state to a convecting state exhibiting domain chaos. A detailed analysis of these simulations has been carried out and is compared with experimental results, as well as predictions from multiple scale perturbation theory. We find that the time scaling law agrees with the theoretical prediction, which is in contradiction to experimental results. We also have looked at the scaling of defect lengths and defect glide velocities. We find a separation of scales in defect diameters perpendicular and parallel to the rolls as expected, but the scaling laws for the two different lengths are in contradiction to theory. The defect velocity scaling law agrees with our theoretical prediction from multiple scale perturbation theory.

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Additional Information:©2005 The American Physical Society (Received 13 June 2005; published 14 November 2005) We thank Paul Fischer for the use of his numerical code NEK5000, which was used for all of our simulations. We would like to thank Nathan Becker, Guenter Ahlers, Werner Pesch, Henry Greenside, Anand Jayaraman, Keng-Hwee Chiam, and Mark Paul for helpful discussions. This work was supported by the Engineering Research Program of the Office of Basic Energy Sciences at the Department of Energy, Grants No. DE-FG03-98ER14891 and No. DE-FG02-98ER14892. The numerical code was run on the following supercomputing sites, whom we gratefully acknowledge: the National Computational Science Alliance under Grant No. DMR040001 which utilized the NCSA Xeon Linux Supercluster, the National Energy Research Scientific Computing Center which is supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC03-76SF00098, the Center for Computational Sciences at Oak Ridge National Laboratory, which is supported by the Office of Science of the Department of Energy under Contract No. DE-AC05-00OR22725, and “Jazz,” a 350-node computing cluster operated by the Mathematics and Computer Science Division at Argonne National Laboratory as part of its Laboratory Computing Resource Center.
Subject Keywords:convection; Rayleigh-Benard instability; flow simulation; bifurcation; chaos; perturbation theory
Issue or Number:5
Record Number:CaltechAUTHORS:SCHEpre05
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3014
Deposited By: Archive Administrator
Deposited On:11 May 2006
Last Modified:08 Nov 2021 19:52

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