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Journal Article

Low-dimensional chaos in zero-Prandtl-number Benard-Marangoni convection

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Boeck,  T.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Vitanov,  N. K.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Boeck, T., & Vitanov, N. K. (2002). Low-dimensional chaos in zero-Prandtl-number Benard-Marangoni convection. Physical Review E, 65(3): 037203. Retrieved from http://ojps.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000065000003037203000001&idtype=cvips&gifs=yes&jsessionid=1585811053614271049.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-37EE-C
Abstract
Three-dimensional surface-tension-driven Benard convection at zero Prandtl number is computed in the smallest possible doubly periodic rectangular domain that is compatible with the hexagonal flow structure at the linear stability threshold of the quiescent state. Upon increasing the Marangoni number beyond this threshold, the initially stationary flow becomes quickly time dependent. We investigate the transition to chaos for the case of a free-slip bottom wall by means of an analysis of the kinetic energy time series. We observe a period-doubling scenario for the transition to chaos of the energy attractor, intermittent behavior of a component of the mean velocity field, three characteristic energy levels, and two frequencies that contain a considerable amount of the power spectral density connected with the kinetic energy time series.