Published October 8, 2001
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Power-law behavior of power spectra in low Prandtl number Rayleigh-Bénard convection
Chicago
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Abstract
The origin of the power-law decay measured in the power spectra of low Prandtl number Rayleigh-Benard convection near the onset of chaos is addressed using long time numerical simulations of the three-dimensional Boussinesq equations in cylindrical domains. The power law is found to arise from quasidiscontinuous changes in the slope of the time series of the heat transport associated with the nucleation of dislocation pairs and roll pinch-off events. For larger frequencies, the power spectra decay exponentially as expected for time continuous deterministic dynamics.
Additional Information
©2001 The American Physical Society. Received 2 May 2001; published 25 September 2001. This research was supported by the U.S. Department of Energy, Grant No. DE-FT02-98ER14892, and the Mathematical, Information, and Computational Sciences Division subprogram of the Office of Advanced Scientific Computing Research, U.S. Department of Energy, under Contract No. W-31-109-Eng-38. We also acknowledge the Caltech Center for Advanced Computing Research and the North Carolina Supercomputing Center.Files
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