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 Num. Meth. Prog., 2004, Volume 5, Issue 1, Pages 41–45 (Mi vmp665)

The subgrid problem of thermal convection in the Earth's liquid core

M. Yu. Reshetnyaka, B. Steffenb

a Institute of Physics of the Earth, Russian Academy of Scienses
b Central Institute for Applied Mathematics, Germany

Abstract: The problem of turbulent thermal convection in the Earth's liquid core is considered. Following assumptions on decreasing of the spatial scales due to rapid rotation, we propose a subgrid model of eddy diffusivity used in the large-scale model. This approach makes it possible to model realistic regimes with small Ekman and Rossby numbers and with a sufficiently large Rayleigh number. An estimate obtained for the averaged kinetic energy is comparable with observations. The model includes rotation of the solid core due to viscous torque.

Keywords: thermal convection, subgrid viscosity, large-scale model of convection, viscous forces.

Full text: PDF file (193 kB)
UDC: 532.517:537.584

Citation: M. Yu. Reshetnyak, B. Steffen, “The subgrid problem of thermal convection in the Earth's liquid core”, Num. Meth. Prog., 5:1 (2004), 41–45

Citation in format AMSBIB
\Bibitem{ResSte04} \by M.~Yu.~Reshetnyak, B.~Steffen \paper The subgrid problem of thermal convection in the Earth's liquid core \jour Num. Meth. Prog. \yr 2004 \vol 5 \issue 1 \pages 41--45 \mathnet{http://mi.mathnet.ru/vmp665}