论文标题
关于海洋湍流中间歇性与耗散之间的联系
On the connection between intermittency and dissipation in ocean turbulence
论文作者
论文摘要
多重分裂的湍流理论用于研究西北大西洋的能量级联。根据原位测量计算的速度梯度的奇异性指数的统计数据用于表明，速度结构在50 AD 500 m之间的速度结构函数的异常尺度函数在50 AD 500 m之间的函数具有线性依赖性，该指数依赖于最强速度梯度的指数，其斜率降低了深度的斜率。由于指数的分布在所有深度的模式上都是不对称的，因此我们使用能量级联的无限分开的不对称模型，即对数 - 波西森模型，从而得出了随着耗散的异常缩放的功能依赖性。使用此模型，我们可以将线性斜率的垂直变化解释为能量级联的变化。
The multifractal theory of turbulence is used to investigate the energy cascade in the Northwestern Atlantic ocean. The statistics of singularity exponents of velocity gradients computed from in situ measurements are used to show that the anomalous scaling of the velocity structure functions at depths between 50 ad 500 m has a linear dependence on the exponent characterizing the strongest velocity gradient, with a slope that decreases with depth. Since the distribution of exponents is asymmetric about the mode at all depths, we use an infinitely divisible asymmetric model of the energy cascade, the log-Poisson model, to derive the functional dependence of the anomalous scaling with dissipation. Using this model we can interpret the vertical change of the linear slope as a change in the energy cascade.
