Power Law Behavior of Power Spectra in Low Prandtl Number Rayleigh-Benard convection

TitlePower Law Behavior of Power Spectra in Low Prandtl Number Rayleigh-Benard convection
Publication TypeReport
Year of Publication2001
AuthorsPaul, MR, Cross, MC, Fischer, PF, Greenside, HS
Date Published05/2001
Other NumbersANL/MCS-P883-0501
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 quasi-discontinuous 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.

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