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On final states of two-dimensional decaying turbulence
Yin, Z
2004-12-01
发表期刊PHYSICS OF FLUIDS
ISSN1070-6631
卷号16期号:12页码:4623-4634
摘要Numerical and analytical studies of final states of two-dimensional (2D) decaying turbulence are carried out. The first part of this work is trying to give a definition for final states of 2D decaying turbulence. The functional relation of omega-psi, which is frequently adopted as the characterization of those final states, is merely a sufficient but not necessary condition; moreover, it is not proper to use it as the definition. It is found that the method through the value of the effective area S covered by the scatter omega-psi plot, initially suggested by Read, Rhines, and White ["Geostrophic scatter diagrams and potential vorticity dynamics," J. Atmos. Sci. 43, 3226 (1986)] is more general and suitable for the definition. Based on this concept, a definition is presented, which covers all existing results in late states of decaying 2D flows (including some previous unexplainable weird double-valued omega-psi scatter plots). The remaining part of the paper is trying to further study 2D decaying turbulence with the assistance of this definition. Some numerical results, leading to "bar" final states and further verifying the predictive ability of statistical mechanics [Yin, Montgomery, and Clercx, "Alternative statistical-mechanical descriptions of decaying two-dimensional turbulence in terms of patches and points," Phys. Fluids 15, 1937 (2003)], are reported. It is realized that some simulations with narrow-band energy spectral initial conditions result in some final states that cannot be very well interpreted by the statistical theory (meanwhile, those final states are still in the scope of the definition). (C) American Institute of Physics.
DOI10.1063/1.1811132
语种英语
WOS研究方向Mechanics ; Physics
WOS类目Mechanics ; Physics, Fluids & Plasmas
WOS记录号WOS:000225199200033
出版者AMER INST PHYSICS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/19476
专题中国科学院数学与系统科学研究院
通讯作者Yin, Z
作者单位1.Eindhoven Univ Technol, Fluid Dynam Lab, Dept Appl Phys, NL-5600 MB Eindhoven, Netherlands
2.Chinese Acad Sci, LSEC, Acad Math & Syst Sci, Beijing 100080, Peoples R China
3.Chinese Acad Sci, ICMSEC, Acad Math & Syst Sci, Beijing 100080, Peoples R China
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Yin, Z. On final states of two-dimensional decaying turbulence[J]. PHYSICS OF FLUIDS,2004,16(12):4623-4634.
APA Yin, Z.(2004).On final states of two-dimensional decaying turbulence.PHYSICS OF FLUIDS,16(12),4623-4634.
MLA Yin, Z."On final states of two-dimensional decaying turbulence".PHYSICS OF FLUIDS 16.12(2004):4623-4634.
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