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 64³ nodes.

Keywords: spherical functions, Chebyshev polynomials, geostrophic state, cluster systems

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