中文摘要：

湍流,在海洋动力系统其他类运动的控制方程组中,主要以输运通量剩余项的形式出现,它是最重要的海洋混合运动主体。本文的主要研究目标是,在湍流最新研究成果及其子系统控制方程组基础上,提出高确定性的二阶矩闭合原理,导出闭合的二阶矩和基本特征量控制方程组,建立湍流输运通量的数学物理描述基础。现有的湍流基本特征量方程组,其右端项的闭合办法实际上是非独立的。因此要么在今后的研究中引入独立的闭合办法,要么回归到湍流的现场实验分析研究,给出独立的特征量实验关系,从而有可能得到湍流混合系数的解析估计。

英文摘要：

Turbulence is the most important main body of the ocean mixing motion, and can be described in the governing equations for marine motions in the form of residual of transport fluxes in the ocean dynamic system. Based on the latest achievement in the governing equations of turbulence, we proposed the second-order moment closure principles with high-determinacy, deduced the governing equations of the closure second-order moment and its basic characteristics, and established the mathematical-physical description basis for the turbulence transport fluxes. We noticed that at present, in the basic characteristic equations of the turbulence, the closure method of the right-hand side is actually non-independent, and thus in future research, we can either introduce an independent closure method, or return to an in-situ experimental analysis on turbulence to yield independent and characteristic experimental relation, and then be able to receive an analytic estimation on the turbulence mixing coefficients.