二维无界自由衰减流的数值研究

尹兆华; D·C·蒙哥马利

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

尹兆华¹,
D·C·蒙哥马利²

¹中国科学院力学研究所;国家微重力实验室(中国科学院),北京 100190;²达特茅斯学院天文学系,新罕布什尔汉诺威 03755, 美国

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
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- 被引次数: 0
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

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

YIN Zhao-hua¹,
David C Montgomery²

¹National Microgravity Laboratory(Chinese Academy of Sciences);Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, P.R.China;²Department of Physics and Astronomy, Dartmouth College,Hanover, New Hampshire 03755, USA

Funds: The National Natural Science Foundation of China（11472283; 11172308）

摘要

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.
- 无界区域 /
- Hermite谱方法 /
- Fourier谱方法 /
- Oseen涡
Abstract: The fluid motion in an unbounded domain is an appealing and difficult problem in fluid mechanics. The 2D unbounded free decaying flow was studied and simulated with the traditional extended domain Fourier spectral scheme and the newly developed Hermite spectral algorithm, respectively. The results show that, in the case of only samesigned vortices existing in the domain at the beginning of simulations, both methods give correct results; on the other hand, in the case of positive and negative vortices coexisting initially, the new Hermite spectral method still gives satisfactory results for the problem efficiently even after longtime simulation, but the traditional Fourier method hardly yields correct results even in a greatly extended computing domain. Moreover, the numerical simulations of the examples with the Hermite spectral method prove the existence of the theoretically predicted Oseen vortices.
- unbounded domain /
- Hermite spectral method /
- Fourier spectral method /
- Oseen vortex

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