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二维无界自由衰减流的数值研究

尹兆华 D·C·蒙哥马利

尹兆华, D·C·蒙哥马利. 二维无界自由衰减流的数值研究[J]. 应用数学和力学, 2015, 36(2): 190-197. doi: 10.3879/j.issn.1000-0887.2015.02.008
引用本文: 尹兆华, D·C·蒙哥马利. 二维无界自由衰减流的数值研究[J]. 应用数学和力学, 2015, 36(2): 190-197. doi: 10.3879/j.issn.1000-0887.2015.02.008
YIN Zhao-hua, David C Montgomery. Numerical Simulations of 2D Free Decaying Flow in an Unbounded Domain[J]. Applied Mathematics and Mechanics, 2015, 36(2): 190-197. doi: 10.3879/j.issn.1000-0887.2015.02.008
Citation: YIN Zhao-hua, David C Montgomery. Numerical Simulations of 2D Free Decaying Flow in an Unbounded Domain[J]. Applied Mathematics and Mechanics, 2015, 36(2): 190-197. doi: 10.3879/j.issn.1000-0887.2015.02.008

二维无界自由衰减流的数值研究

doi: 10.3879/j.issn.1000-0887.2015.02.008
基金项目: 国家自然科学基金(11472283; 11172308)
详细信息
    作者简介:

    尹兆华(1973—),男,山东青岛人,副研究员,博士,硕士生导师(通讯作者. E-mail: zhaohua.yin@imech.ac.cn).

  • 中图分类号: O357.1

Numerical Simulations of 2D Free Decaying Flow in an Unbounded Domain

Funds: The National Natural Science Foundation of China(11472283; 11172308)
  • 摘要: 无界区域上的流体运动是流体力学中的热点和难点问题.采用传统的扩大计算区域算法和新发展的基于无界区域的Hermite基函数算法对二维无界区域的自由衰减流动进行研究. 结果发现,对于只存在相同符号涡的初始流场而言,两种方法都可以得出正确的结果;而对于正负涡都存在的初始流场,传统方法即便利用非常大的计算区域也无法进行正确的长时间模拟,但是新方法却能高效求解.对算例的Hermite算法数值模拟验证了理论解Oseen涡的存在.
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出版历程
  • 收稿日期:  2014-09-24
  • 修回日期:  2014-10-21
  • 刊出日期:  2015-02-15

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