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

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

doi: 10.3879/j.issn.1000-0887.2015.02.008
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
  • 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.
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