Rotating Thermal Convection in Hemispherical and Spherical Shells

Physics – Fluid Dynamics

Scientific paper

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Scientific paper

Using the spectral-element method we are able to obtain highly accurate solutions corresponding to the geometry and parameter regime of a space laboratory experiment[1]. In this talk we describe the experimental results, and simulation results of surveys in Rayleigh and Taylor numbers. Experimental constraints to obtain radial gravity make the force law proportional to 1/r^5 as opposed to the desired 1/r^2, and the geometry to that of a hemisphere rather than the desired one of a sphere - with application to the deep atmospheres of giant planets. We study the effects of these differences with our simulations. [1] Hart, J.E., Glatzmaier, G.A., and Toomre, J., J. Fluid Mech. vol. 173, pp. 519-544.

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