Inertial range of two‐dimensional turbulence in a Lagrangian renormalized approximation
Inertial range of two‐dimensional turbulence in a Lagrangian renormalized approximation
复制标题
拉格朗日重正化近似中二维湍流的惯性范围
DOI：
10.1063/1.866031
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发表时间：
1987
影响因子：
4.6
通讯作者：
Y. Kaneda
中科院分区：
文献类型：
--
作者：
Y. Kaneda
基于演绎拉格朗日重整化近似，研究了二维湍流的惯性程结构。近似值与能量转移范围内的能谱E（k）= Ce 2/3 k−5/3和拟能转移范围内的能谱E（k）= C 'β 2/3 k−3 ×[ln（k/k1）]−1/3（k <$k1）一致，并得到估计值C=5.88和C'= 1.44。这里E（k）是通常的能谱，e和β分别是每单位质量的能量和涡度拟能转移率，k1是涡度拟能转移范围的底部。
The inertial range structure of two‐dimensional turbulence is studied on the basis of a deductive Lagrangian renormalized approximation. The approximation is consistent with the energy spectra E(k)=Ce2/3 k−5/3 in the energy‐transfer range and E(k)=C’β2/3 k−3 ×[ln(k/k1)]−1/3 (k≫k1) in the enstrophy‐transfer range, and yields the estimates C=5.88 and C’=1.44. Here E(k) is the usual energy spectrum, e and β are, respectively, the rates of energy and enstrophy transfer per unit mass, and k1 is the bottom of the enstrophy‐transfer range.