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Statistical mechanics of turbulence based on cross-independence closure hypothesis
https://jaxa.repo.nii.ac.jp/records/5523
https://jaxa.repo.nii.ac.jp/records/552314d9ad0c-61ff-4387-93c6-dc1f93aa1035
名前 / ファイル | ライセンス | アクション |
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63908002.pdf (1.4 MB)
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Item type | 会議発表論文 / Conference Paper(1) | |||||
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公開日 | 2015-03-26 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Statistical mechanics of turbulence based on cross-independence closure hypothesis | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 等方性乱流場 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 一様性乱流場 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 統計力学 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | コルモゴロフ理論 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 速度分布 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | エネルギー散逸 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 交差独立性仮説 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | ナビエ・ストークス方程式 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 運動方程式 | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | isotropic turbulence | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | homogeneous turbulence | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | statistical mechanics | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Kolmogorov theory | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | velocity distribution | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | energy dissipation | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | cross-independence hypothesis | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Navier-Stokes equation | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | equation of motion | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_5794 | |||||
資源タイプ | conference paper | |||||
著者 |
巽, 友正
× 巽, 友正× Tatsumi, Tomomasa |
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著者所属 | ||||||
京都大学 | ||||||
著者所属(英) | ||||||
en | ||||||
Kyoto University | ||||||
出版者 | ||||||
出版者 | 宇宙航空研究開発機構 | |||||
出版者(英) | ||||||
出版者 | Japan Aerospace Exploration Agency (JAXA) | |||||
書誌情報 |
宇宙航空研究開発機構特別資料: 境界層遷移の解明と制御研究会講演論文集 第40回 en : JAXA Special Publication: Proceedings of the 40th JAXA Workshop on Investigation and Control of Boundary-Layer Transition 巻 JAXA-SP-07-026E, p. 5-8, 発行日 2008-02-29 |
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抄録(英) | ||||||
内容記述タイプ | Other | |||||
内容記述 | A new approach to statistical mechanic of turbulence based on the cross-independence closure hypothesis is presented and its relationship with Kolmogorov's theory of locally isotropic turbulence is discussed. For homogeneous isotropic turbulence, the one-point velocity distribution is obtained as the inertial normal distribution N1 with the parameter alpha = epsilon/3, epsilon being the energy-dissipation, and no viscosity nu. The energy-dissipation epsilon satisfies the fluctuation-dissipation theorem and causes the inviscid energy catastrophe E greater than 0 in the limit of nu approaches 0. Since no energy supply is assumed for homogeneous turbulence, the energy E decays in time t as E is proportional to t(exp -1) and hence epsilon is proportional to t(exp -2). Two-point velocity distribution is expressed in terms of the velocity-sum distribution and the velocity-difference distribution, and the latter distributions are expressed as another inertial normal distribution N2 with the parameter alpha/2 for r greater than 0, r being the distance of the two points. Although these distributions change discontinuously at r = 0 for satisfying the boundary conditions, they are continuous functions of the local coordinate r* = r/eta. eta = (nu(exp 3)/epsilon)(exp 1/4) being Kolmogorov's length. In the local range, the velocity-sum distribution is expressed as the local normal distribution N3 with the self-energy-dissipation alpha* + (r*) for the velocity-sum as the parameter. The velocity-difference distribution in the local range is axisymmetric with respect to the vector r*, and the lateral component is expressed as the (one-dimensional) local normal distribution N4 with the self-energy-dissipation alpha* - (r*) for the velocity-difference as the parameter. The longitudinal velocity-difference distribution in the local range is obtained as algebraic non-normal distributions A1 and A2 for the inertial and viscous subranges respectively. For inhomogeneous turbulence, the velocity is decomposed into the mean velocity and the fluctuation velocity around it, and the equations for the mean velocity and the distributions of the one-and two-point fluctuation velocities are derived. The general characters of the equations are discussed with systematic application to inhomogeneous turbulence in scope. | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1349-113X | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11984031 | |||||
資料番号 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 資料番号: AA0063908002 | |||||
レポート番号 | ||||||
内容記述タイプ | Other | |||||
内容記述 | レポート番号: JAXA-SP-07-026E |