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 引用本文: 庄宏, 严宗毅, 吴望一. 三维斯托克斯流动在扁球坐标系中的基本解及其应用[J]. 应用数学和力学, 2002, 23(5): 459-476.
ZHUANG Hong, YAN Zong-yi, WU Wang-yi. The Three-Dimensional Fundamental Solution to Stokes Flow in the Oblato Spheroidal Coordinates With Applications to Multiple Spheroid Problems[J]. Applied Mathematics and Mechanics, 2002, 23(5): 459-476.
 Citation: ZHUANG Hong, YAN Zong-yi, WU Wang-yi. The Three-Dimensional Fundamental Solution to Stokes Flow in the Oblato Spheroidal Coordinates With Applications to Multiple Spheroid Problems[J]. Applied Mathematics and Mechanics, 2002, 23(5): 459-476.

## 三维斯托克斯流动在扁球坐标系中的基本解及其应用

###### 作者简介:庄宏(1965- ),男,河南南阳人,北京大学理学硕士,美国犹他大学理学博士,研究员,在药剂学与生物医学方面发表专业论文多篇.
• 中图分类号: O357.2

## The Three-Dimensional Fundamental Solution to Stokes Flow in the Oblato Spheroidal Coordinates With Applications to Multiple Spheroid Problems

• 摘要: 通过把Lamb基本解中的调和函数转换为扁球坐标系下的表达式,这项研究成功地得到了一个新的Stokes流动三维基本解.此基本解可用于解决任意多个扁椭球处于任意位置和方向时的流动问题.应用最小二乘法,三维流动问题中常遇到的收敛性差的困难在此得以完全克服.结果表明该方法具有准确度高,收敛性好和计算量小的特点.由于扁球可用于模拟从圆盘到圆球的多种物体形状,此基本解被用于系统地分析了各种几何因素对两个扁球所受力和力矩的影响.为了显示此方法的通用性,该基本解还用于研究了两例三个扁球的问题.
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##### 出版历程
• 收稿日期:  2000-05-18
• 修回日期:  2001-10-15
• 刊出日期:  2002-05-15

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