turbulence中非局部相互作用与粘度的关系
Nonlocal interactions versus viscosity in turbulence
摘要：
结果表明，在小雷诺数下，非局部相互作用决定了各向同性湍流的能谱。它还表明，对于中等雷诺数的瓶颈效应是由相同的非局部相互作用。研究了大尺度和小尺度协方差在非定域相互作用和能量平衡中的作用。简要讨论了大尺度下非局部解不稳定性的一种可能的流体力学机制。得到了非局域相互作用的有效应变与粘性的定量关系，并与实验和数值模拟结果进行了比较。
英文摘要：
It is shown that nonlocal interactions determine energy spectrum in isotropic turbulence at small Reynolds numbers. It is also shown that for moderate Reynolds numbers the bottleneck effect is determined by the same nonlocal interactions. Role of the large and small scales covariance at the nonlocal interactions and in energy balance has been investigated. A possible hydrodynamic mechanism of the nonlocal solution instability at large scales has been briefly discussed. A quantitative relationship between effective strain of the nonlocal interactions and viscosity has been found. All results are supported by comparison with the data of experiments and numerical simulations.
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