球Couette流的数值模拟  

Numerical Simulation of Spherical Couette Flow

作　　者：王贺元[1,2] 丁素珍[3] 袭著有[3] 

机构地区：[1]西安交通大学建力学院 [2]辽宁工学院数理科学系锦州121001 [3]辽宁工学院数理科学系

出　　处：《数学物理学报（A辑）》2005年第2期245-250,共6页Acta Mathematica Scientia

基　　金：国家基础研究专项基金 (G1 9990 3 2 80 1 -0 7)资助

摘　　要：该文利用谱方法对同心旋转球间轴对称Couette流进行数值模拟.给出Navier- Stokes方程的流函数-涡度形式,利用Stokes流把边界条件齐次化,选取Stokes算子的特征函数做为逼近子空间的基函数,对同心旋转球间轴对称Couette流进行谱逼近,并展示数值计算结果.In this paper, axisymmetric Couette flow between two concentric rotating spheres is simulated numerically by the spectral method. First, velocity-stream function form of the Navier-Stokes equations which homogeneous boundary condition is given by introducing Stokes flow. Second, by introducing eigenfunctions of Stokes operator as basis of finite dimensional approximate subspaces, and applying these to the spectral approximation of Couette flow, numerical experiment was carried out. Finally, numerical result is presented.

关 键 词：Navier—Stokes方程 球Couette流 STOKES算子 

分 类 号：O357.1[理学—流体力学] O241.82[理学—力学]