Exponentially growing solutions in homogeneous Rayleigh-Bénard convection.

@article{Calzavarini2006ExponentiallyGS,
  title={Exponentially growing solutions in homogeneous Rayleigh-B{\'e}nard convection.},
  author={Enrico Calzavarini and Charles R. Doering and John D. Gibbon and Detlef Lohse and Ayano Tanabe and Federico Toschi},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2006},
  volume={73 3 Pt 2},
  pages={
          035301
        }
}
It is shown that homogeneous Rayleigh-Bénard flow, i.e., Rayleigh-Bénard 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 nonlinear 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… Expand

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