| 球Couette流的数值模拟 |
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| 引用本文： | 王贺元,丁素珍,袭著有. 球Couette流的数值模拟[J]. 数学物理学报(A辑), 2005, 25(2): 245-250 |
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| 作者姓名： | 王贺元 丁素珍 袭著有 |
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| 作者单位： | [1]西安交通大学建力学院，西安710049／／辽宁工学院数理科学系，锦州121001 [2]辽宁工学院数理科学系，锦州121001 |
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| 基金项目： | 国家基础研究专项基金 (G1 9990 3 2 80 1 -0 7)资助 |
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| 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
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| 关 键 词： | Navier Stokes方程 球Couette流 Stokes算子 |
| 文章编号： | 1003-3998(2005)02-245-06 |
| 修稿时间： | 2003-04-29 |
Numerical Simulation of Spherical Couette Flow |
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| WANG He-Yuan,DING Su-Zhen,XI Chu-Wei. Numerical Simulation of Spherical Couette Flow[J]. Acta Mathematica Scientia, 2005, 25(2): 245-250 |
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| Authors: | WANG He-Yuan DING Su-Zhen XI Chu-Wei |
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| Abstract: | 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. |
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| Keywords: | Navier-Stokes equations Spherical Couette flow Stokes operator. |
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