湍流混合输运通量的数学物理描述基础——高确定性闭合的湍流二阶矩和基本特征量控制方程组  

BASIS OF MATHEMATICAL AND PHYSICAL DESCRIPTION FOR TURBULENCE MIXING TRANSPORT FLUXES——THE GOVERNING EQUATIONS FOR HIGH-DETERMINACY CLOSURE TURBULENCE SECOND-ORDER MOMENT AND THE BASIC CHARACTERISTICS

作　　者：袁业立[1,2] 庄展鹏 杨光兵[1,2] YUAN Ye-Li ZHUANG Zhan-Peng YANG Guang-Bing(Key Laboratory of Marine Science and Numerical Modeling, State Oceanic Administration, Qingdao 266061, China Qingdao National Laboratory for Marine Science and Technology, Qingdao 266237, China)

机构地区：[1]国家海洋局第一海洋研究所海洋环境科学和数值模拟重点实验室,青岛266061 [2]青岛海洋科学和技术国家实验室区域海洋动力学与数值模拟功能实验室,青岛266237

出　　处：《海洋与湖沼》2017年第5期895-911,共17页Oceanologia Et Limnologia Sinica

基　　金：国家自然科学基金委员会-山东省人民政府联合资助海洋科学研究中心项目;U1406404号;全球变化与海气相互作用专项项目;GASI-IPOVAI-01-05号

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。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.

关 键 词：四子系统海洋动力系统 湍流输运通量剩余量 高确定性二阶矩闭合原理 基本特征量理论关系 基本特征量实验关系 

分 类 号：P731.26[天文地球—海洋科学]