论文标题
渐近能耗散对三阶速度缩放的依赖性
Dependence of the asymptotic energy dissipation on third-order velocity scaling
论文作者
论文摘要
渐近能量耗散连接到通过Kolmogorov $ 4/5 $ LAW的三维湍流中纵向速度增量幅度的三阶缩放。结果表明，三阶纵向绝对速度的增加缩放不应超过异常耗散的统一，这是因为在无关的极限中不存在平均耗散的平均耗散，也称为“湍流”的“ Zeroth法律”。速度增量场将至少在其偏度的水平上变为对称性。
The asymptotic energy dissipation is connected to the third-order scaling of the longitudinal velocity increment magnitude in three-dimensional turbulence via the Kolmogorov $4/5$ law. It is shown that the third-order longitudinal absolute velocity increment scaling should not exceed unity for anomalous dissipation to occur, that is for non-vanishing average dissipation in the inviscid limit -- also known as the ``zeroth law" of turbulence. Conversely, if the third-order longitudinal absolute velocity increment scaling exceeds unity then the average dissipation must asymptotically vanish and the velocity increment field will becomes symmetric at least at the level of its skewness. This work highlights the importance of the third-order absolute velocity increment scaling in assessing the status of the ``zeroth-law" of turbulence.
