Wednesday, November 21, 2012

1201.3298 (Jezabel Curbelo et al.)

Spectral numerical schemes for time-dependent convection with viscosity
dependent on temperature
   [PDF]

Jezabel Curbelo, Ana M. Mancho
This article proposes spectral numerical methods to solve the time evolution of a convection problem with viscosity depending exponentially on temperature. The set-up is a 2D domain with periodic boundary conditions along the horizontal coordinate. At a fixed aspect ratio, the analysis is assisted by bifurcation techniques such as branch continuation, which has proven to be a useful, systematic method for gaining insight into the possible stationary solutions satisfied by the basic equations. Stable stationary solutions become unstable through a Hopf bifurcation, after which the time-dependent regime is solved by the spectral techniques proposed for that purpose in this article. The morphology of the plume is described and compared with others obtained in the literature.
View original: http://arxiv.org/abs/1201.3298

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