区域分解方法在快速旋转行星流体动力学并行计算中的应用  

Application of Domain Decomposition Method in Fluid Dynamics of Fast Rotating Planets

作　　者：冯天厚[1] 

机构地区：[1]中国科学院上海天文台

出　　处：《天文学报》2007年第3期397-406,共10页Acta Astronomica Sinica

基　　金：国家自然科学基金重点项目(10633030)资助

摘　　要：基于区域分解思想建立了一种快速旋转行星流体动力学大规模二维数值模拟并行计算方法,并在PC-Cluster型并行计算机上进行了各种网格的数值模拟,结果表明:在一定的CPU数目范围内,该方法在PC-Cluster型并行计算机上的计算速度基本上与采用的CPU数目成线性正比关系.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 -（ro^2 - s^2）^-1/2 ≤ z ≤ （ro^2 - s^2）^-1/2, where （s, Ф, 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 differen- tial 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.

关 键 词：方法 数值 流体动力学 

分 类 号：P138[天文地球—天体力学]