Exponentially growing solutions in homogeneous Rayleigh-Benard convection
arXiv:nlin/0602040 · doi:10.1103/PhysRevE.73.035301
Abstract
It is shown that homogeneous Rayleigh-Benard flow, i.e., Rayleigh-Benard turbulence with periodic boundary conditions in all directions and a volume forcing of the temperature field by a mean gradient, has a family of exact, exponentially growing, separable solutions of the full non-linear system of equations. These solutions are clearly manifest in numerical simulations above a computable critical value of the Rayleigh number. In our numerical simulations they are subject to secondary numerical noise and resolution dependent instabilities that limit their growth to produce statistically steady turbulent transport.
arXiv comment4 pages, 3 figures, to be published in Phys. Rev. E - rapid communications
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