Geodesic
The subgrid problem of thermal convection in the Earth's liquid core
Numerical methods and programming, Tome 5 (2004) no. 1, pp. 41-45

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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
Mots-clés : viscous forces. 
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     author = {M. Yu. Reshetnyak and B. Steffen},
     title = {The subgrid problem of thermal convection in the {Earth's} liquid core},
     journal = {Numerical methods and programming},
     pages = {41--45},
     publisher = {mathdoc},
     volume = {5},
     number = {1},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2004_5_1_a3/}
}
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M. Yu. Reshetnyak; B. Steffen. The subgrid problem of thermal convection in the Earth's liquid core. Numerical methods and programming, Tome 5 (2004) no. 1, pp. 41-45. http://geodesic.mathdoc.fr/item/VMP_2004_5_1_a3/