Infrared Reynolds number dependency of the two-dimensional inverse energy cascade
Infrared Reynolds number dependency of the two-dimensional inverse energy cascade
复制标题
二维逆能量级联的红外雷诺数依赖性
DOI：
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发表时间：
2011
影响因子：
3.7
通讯作者：
A. Vallgren
中科院分区：
文献类型：
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作者：
A. Vallgren
强迫二维湍流的高分辨率模拟表明，逆叶栅范围对红外雷诺数Reα = kf/kα敏感，其中kf是强迫波数，kα是基于线性摩擦的摩擦波数。在高Reα的极限下，经典的k−5/3标度失去了，我们得到了更陡的能谱。的敏感性被追踪到形成的涡流在逆能量级联范围。因此，假设对偶极限Reα → ∞和Reν = kd/kf → ∞，其中kd是小尺度耗散波数，将导致在逆能量级联范围内比k−5/3更陡的能谱。研究还发现，反能量级联是由非局部三元相互作用维持的。
High-resolution simulations of forced two-dimensional turbulence reveal that the inverse cascade range is sensitive to an infrared Reynolds number, Reα = kf/kα, where kf is the forcing wavenumber and kα is a frictional wavenumber based on linear friction. In the limit of high Reα, the classic k−5/3 scaling is lost and we obtain steeper energy spectra. The sensitivity is traced to the formation of vortices in the inverse energy cascade range. Thus, it is hypothesized that the dual limit Reα → ∞ and Reν = kd/kf → ∞, where kd is the small-scale dissipation wavenumber, will lead to a steeper energy spectrum than k−5/3 in the inverse energy cascade range. It is also found that the inverse energy cascade is maintained by non-local triad interactions.