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首页> 外文期刊>Journal of Physical Oceanography >On the Connection between Intermittency and Dissipation in Ocean Turbulence: A Multifractal Approach
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On the Connection between Intermittency and Dissipation in Ocean Turbulence: A Multifractal Approach

机译：关于海洋湍流间歇性与耗散的联系：一种多重术方法

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The multifractal theory of turbulence is used to investigate the energy cascade in the northwestern Atlantic Ocean. The statistics of singularity exponents of horizontal velocity gradients computed from in situ measurements at 2-km resolution are used to characterize the anomalous scaling of the velocity structure functions at depths between 50 and 500 m. Here, we show that the degree of anomalous scaling can be quantified using singularity exponents. Observations reveal, on one side, that the anomalous scaling has a linear dependence on the exponent characterizing the strongest velocity gradient and, on the other side, that the slope of this linear dependence decreases with depth. Since the observed 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 the exponent of the strongest velocity gradient, as well as the dependence with dissipation. Using this model we can interpret the vertical change of the linear slope between the anomalous scaling and the exponents of the strongest velocity gradients as a change in the energy cascade. This interpretation assumes the validity of the multifractal theory of turbulence, which has been assessed in previous studies.
机译：湍流的多重术理论用于研究西北大西洋的能源级联。从2公里分辨率的原位测量计算的水平速度梯度统计数序用于表征在50到500米之间的深度的速度结构函数的异常缩放。在这里，我们表明可以使用奇点指数量化异常缩放程度。在一侧揭示异常缩放的观察结果对表征最强速度梯度的指数具有线性依赖性，并且在另一侧，该线性依赖性的斜率随深度而降低。由于观察到的指数分布对所有深度的模式不对称，因此我们使用了能量级联的无限分割的不对称模型，Log-Poisson模型，从而通过最强速度梯度的指数导出异常缩放的功能依赖性以及耗散依赖的依赖。使用该模型，我们可以将异常缩放和最强速度梯度的指数之间的线性斜率的垂直变化解释为能量级联的变化。这种解释假设在先前的研究中评估了多分泌湍流理论的有效性。

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