本文選題：二維湍流 + 外力尺度�。� 參考：《水動(dòng)力學(xué)研究與進(jìn)展A輯》2016年01期

【摘要】：該文基于格子Boltzmann方法,研究系統(tǒng)外力尺度kmax/kf對(duì)二維湍流的能譜和統(tǒng)計(jì)行為的影響�？紤]了兩種系統(tǒng)外力(高斯力和Kolmogorov力)和三種外力尺度max/fk k。在不存在線(xiàn)性摩擦力情況下,驗(yàn)證了描述二階渦量結(jié)構(gòu)函數(shù)與能譜關(guān)系的Benzi理論。研究表明:當(dāng)外力尺度kmax/kf逐漸增大時(shí),Kolmogorov外力情況下的二階渦量結(jié)構(gòu)函數(shù)與能譜之間的關(guān)系逐漸符合Benzi理論。在存在線(xiàn)性摩擦力情況下,出現(xiàn)能譜雙能級(jí)。隨著外力尺度kmax/kf逐漸增大,Kolmogorov外力情況下的直接慣性區(qū)能譜逐漸接近Kraichnann理論。在兩種系統(tǒng)外力情況下渦量場(chǎng)和速度場(chǎng)的概率分布函數(shù)(PDF)具有指數(shù)尾跡,與Falkovich和Lebedev理論預(yù)測(cè)的結(jié)果一致。PDF隨著kmax/kf增加有更大的峰度(Kurtosis),這意味著在直接級(jí)聯(lián)慣性區(qū)具有更強(qiáng)的間歇性。
[Abstract]:Based on the lattice Boltzmann method, the effects of external force scale kmax/kf on the energy spectrum and statistical behavior of two-dimensional turbulence are studied. Two kinds of external forces (Gao Si force and Kolmogorov force) and three kinds of external force scale max/fk k are considered. In the absence of linear friction, the Benzi theory describing the relationship between the second order vorticity structure function and the energy spectrum is verified. The results show that the relationship between the second order vorticity structure function and the energy spectrum is consistent with the Benzi theory when the external force scale kmax/kf increases gradually. In the presence of linear friction, there are two energy levels in the energy spectrum. With the increase of the external force scale kmax/kf, the energy spectrum of the direct inertial region in the case of the external force is closer to that of the Kraichnann theory. The probability distribution function (PDF) of vorticity field and velocity field has exponential wake under two kinds of external forces. The results are consistent with the results predicted by Falkovich and Lebedev theory. PDFs have greater kurtosis with the increase of kmax/kf, which means that there is a stronger intermittency in the direct cascade inertial region.
【作者單位】： 上海大學(xué)上海市應(yīng)用數(shù)學(xué)和力學(xué)研究所;
【基金】：自然科學(xué)基金項(xiàng)目(91441104) 上海市優(yōu)秀學(xué)術(shù)帶頭人計(jì)劃(11XD1402300)~~
【分類(lèi)號(hào)】：O357.5

【相似文獻(xiàn)】

相關(guān)期刊論文 前5條

1 鄒志軍，倪浩清，周力行;有蒸發(fā)的氣－水二維湍流流動(dòng)的數(shù)值模擬[J];水利學(xué)報(bào);1994年02期

2 錢(qián)儉;均勻二維湍流標(biāo)量場(chǎng)譜動(dòng)力學(xué)[J];中國(guó)科學(xué)(A輯 數(shù)學(xué) 物理學(xué) 天文學(xué) 技術(shù)科學(xué));1989年09期

3 林建忠;魏中磊;;用X型熱線(xiàn)探頭測(cè)量二維變方向和高湍流度流場(chǎng)的新方法[J];實(shí)驗(yàn)技術(shù)與管理;1991年04期

4 王道增;有限水深中二維湍流邊界層的發(fā)展[J];力學(xué)進(jìn)展;1984年04期

5 ;[J];;年期

相關(guān)碩士學(xué)位論文 前2條

1 周紅梅;二維湍流流場(chǎng)數(shù)值模擬方法的研究[D];西北工業(yè)大學(xué);2007年

2 譚喚書(shū);Hilbert-Huang變換方法在二維湍流渦量場(chǎng)中的統(tǒng)計(jì)應(yīng)用及二維湍流實(shí)驗(yàn)初探[D];上海大學(xué);2014年

，

本文編號(hào)：1786190