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| Abstract |
Rayleigh-B'{e}nard convection near onset under free-free boundary conditions for a small Prandtl number and a large aspect ratio is studied. In this case, a direct transition from conduction to spatio...temporal chaos has been reported. We solve numerically the generalized Swift-Hohenberg equations proposed by Manneville for a fluid of Prandtl number Pr = 0.5 and the aspect ratio $Gamma = 60$. We investigate similarities and differences between the results of the three-dimensional numerical simulation of the Boussinesq fluid for the same condition performed by Xi, Li & Gunton and those obtained from the Manneville model.show more
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