Application of domain decomposition method in fluid dynamics of fast rotating planets
Abstract
This paper models a rapidly rotating stellar convection zone of inner radius ri and outer radius ro by a largegap 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 PCCluster is linear proportional to the number of CPU used in calculation.
 Publication:

Acta Astronomica Sinica
 Pub Date:
 July 2007
 Bibcode:
 2007AcASn..48..397F
 Keywords:

 Methods: Numerical;
 Hydrodynamics