Geodesic
The pseudospectral method in thermal convection models of a rotating
Numerical methods and programming, Tome 12 (2011) no. 1, pp. 77-84.

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The numerical application and parallelization of the classical thermal convection models for a spherical shell are discussed. These models are used in the modern planetary dynamo models with consideration of the inner core rotation due to the viscous forces. Several scaling tests for a parallel model with the parallelization in the radial direction for a cluster computing systems are considered. The test results confirm a good scalability of the method for typical three-dimensional grids of $64^3$ nodes.
Keywords: spherical functions; Chebyshev polynomials; geostrophic state; cluster systems. 
@article{VMP_2011_12_1_a8,
     author = {M. Yu. Reshetnyak},
     title = {The pseudospectral method in thermal convection models of a rotating},
     journal = {Numerical methods and programming},
     pages = {77--84},
     publisher = {mathdoc},
     volume = {12},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2011_12_1_a8/}
}
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M. Yu. Reshetnyak. The pseudospectral method in thermal convection models of a rotating. Numerical methods and programming, Tome 12 (2011) no. 1, pp. 77-84. http://geodesic.mathdoc.fr/item/VMP_2011_12_1_a8/