Unified Scaling Theory for Local and Non-local Transfers in Generalized Two-dimensional Turbulence(Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)
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概要
- 論文の詳細を見る
The enstrophy inertial range of a family of two-dimensional turbulent flows, so-called α-turbulence, is investigated theoretically and numerically. Introducing the large-scale correction into Kraichnan-Leith-Batchelor theory, we derive a unified form of the enstrophy spectrum for the local and non-local transfers in the enstrophy inertial range of α-turbulence An asymptotic scaling behavior of the derived enstrophy spectrum precisely explains the transition between the local and non-local transfers at α = 2 observed in the recent numerical studies by Pierrehumbert et al [Chaos, Solitons & Fractals 4 (1994) 1111] and Schorghofer [Phys Rev. E 61 (2000) 6572]. This behavior is comprehensively tested by performing direct numerical simulations of α-turbulence. It is also numerically examined the validity of the phenomenological expression of the enstrophy transfer flux responsible for the derivation of the transition of scaling behavior. Furthermore, it is found that the physical space structure for the local transfer is dominated by the small scale vortical structure, while it for the non-local transfer is done by the smooth and thin striped structures caused by the random straining motions.
- 社団法人日本物理学会の論文
- 2004-12-15
著者
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岩山 隆寛
神戸大理
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WATANABE Takeshi
Department of Molecular Immunology, Medical Institute of Bioregulation, Kyushu University
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IWAYAMA Takahiro
Graduate School of Science and Technology, Kobe University
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Iwayama Takahiro
Graduate School Of Science And Technology Kobe University
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Watanabe Takeshi
Department Of Applied Biological Chemistry Faculty Of Agriculture Niigata University
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Watanabe Takeshi
Department Of Agricultural Chemistry Faculty Of Agriculture Tohoku University
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IWAYAMA Takahiro
Department of Control Engineering and Science Kyushu Institute of Technology
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IWAYAMA Takahiro
Department of Physics, Kyushu University
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IWAYAMA Takahiro
Department of Earth and Planetary Sciences, Kyushu University
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