Application of domain decomposition method in fluid dynamics of fast rotating planets

Astronomy and Astrophysics – Astronomy

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Methods: Numerical, Hydrodynamics

Scientific paper

This paper models a rapidly rotating stellar convection zone of inner radius ri and outer radius ro by a large-gap spherical annulus defined by si? s ?so and -(ro2 - s2)-1/2 ? z ?(ro2 - s2)-1/2, where (s, ? ,z) are cylindrical polar coordinates with the axis of rotation at s = 0 and ri = si < so?ro. In the limits si ?0 and so ?ro, the corresponding spherical annulus represents a fully convective rapidly rotating star in the full sphere. Also describes the process of solving the governing equations of fast rotating planetary fluid dynamics with large scale 2D numerical simulation by the limited differential method, and gets high parallel calculation efficiency by using domain decomposition method. Many simulation examples for different grids and parameters show that the calculation speed on PC-Cluster is linear proportional to the number of CPU used in calculation.

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