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Three-dimensional numerical simulation of convection in low-Prandtl-number fluids

Published online by Cambridge University Press:  21 April 2006

M. Meneguzzi ,
C. Sulem ,
P. L. Sulem  and
O. Thual
M. Meneguzzi
Affiliation:
Service d'Astrophysique, Centre d'Etudes Nucléaires de Saclay, 91191 Gif sur Yvette and CNRS, France
C. Sulem
Affiliation:
Department of Mathematics, Ben Gurion University of the Negev, Beersheva, Israeland CNRS, Centre de Mathématiques Appliquées, Ecole Normale Superieure, Paris, France
P. L. Sulem
Affiliation:
School of Mathematical Sciences, Tel-Aviv University, Israeland CNRS, Observatoire de Nice, France
O. Thual
Affiliation:
Centre National de Recherche Métérologique, Météorologie Nationale, 31057, Toulousse-Cedex, France
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Abstract

We present three-dimensional numerical simulations of convection in a low-Prandtlnumber fluid confined between two infinite horizontal bounding surfaces maintained at constant temperatures. We consider the case of free-slip boundary conditions for a fluid of Prandtl number Pr = 0.2 and that of rigid boundary conditions with Pr = 0.025. In the former situation, we observe stationary, periodic, biperiodic and chaotic regimes as the Rayleigh number is increased. In the later situation, the dynamics involves very different characteristic times, and only stationary and time-periodic solutions have been simulated. Convergence to the later regime may occur after a long transient where the amplitude of the oscillation is slowly modulated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 182 , September 1987 , pp. 169 - 191
Copyright
© 1987 Cambridge University Press

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