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

YIN Zhao-hua; David C Montgomery

doi:10.3879/j.issn.1000-0887.2015.02.008

Volume 36 Issue 2

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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

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

doi: 10.3879/j.issn.1000-0887.2015.02.008

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）

Received Date: 2014-09-24
Rev Recd Date: 2014-10-21
Publish Date: 2015-02-15

Abstract

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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References(31)

References

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