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齐次湍流动能输运方程封闭模型在浅海动力学中的应用

Application of Homogeneous K-Equation Turbulent Closure Model in the Coastal Sea

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【作者】 魏皓; 冯士筰; 武建平; 刘桂梅;

【Author】 Wei Hao 1,2 \ Feng Shizuo 1,2 \ Wu Jianping 3 Liu Guimei 4 (1 Institute of Physical Oceanography;2 Physical Oceanography Lab, Ocean Universityof Qingdao, Qingdao 266003, China;3 First Institute of Ocean, SOA, Qingdao 266061,China; 4 Institute

【机构】 青岛海洋大学物理海洋研究所; 青岛海洋大学物理海洋实险室; 国家海洋局第一海洋研究所; 中国科学院海洋研究所 青岛; 266003; 青岛; 266061; 266003;

【摘要】 该文对已建立的齐次湍流动能输运方程封闭模型 (HKE)封闭的浅海动力学模型进行了检验。湍流混合强度的垂直分布会影流速剖面 ,在风海流、狭长渠道稳态风潮及渠道振荡流流场等的模拟中 ,HKE封闭均取得满意效果 ,结果表明 HKE封闭在正压浅海动力学中是有效的 ,可避免混合长理论的缺陷 ,并未过多增加计算量。振荡流的湍流粘性系数的时间分布特性是时变的 ,其变化频率为振荡频率的两倍 ,且在流速变化最大时湍流混合最强。对应于浅海潮波系统 ,平潮和停潮时局地混合最弱 ,因而最适宜水质采样 ,反之 ,涨急和落急时刻湍流混合最强。但当取湍动能的Schmidt数 σk>10时 ,湍粘性系数的振幅仅为其平均值的 15 % ,因此可以认为在 15 %误差内振荡流的粘性系数可用一个时间平均值来代表

【Abstract】 The Homogeneous K eguation Turbulent (HKE) closure coastal hydrodynamic model was applied to simulate the wind driven current, steady wind surge in a closed narrow channel, the oscillating current in an estuary and tide in a rectangular gulf. The vertical distribution of the viscosity, or the turbulent mixing intensity, has show that they are in agreement with the observations. Therefore, HKE is valid in coastal hydrodynamics. It can avoid the disadvantage of mixing length hypotheses and at the same time not too much computation is needed.Time dependent viscosity of the oscillating current is discusssed, and it is found that the frequency of viscosity variation is two times of that of current oscillating. Turbulent mixing reaches its maximum when the current gets the maximum acceleration. This means that the local mixing is the weakest at high and low water in the coastal area. But when the Schmidt number of the turbulent kinetic energy is larger than 10(σ k>10), the amplitude of the viscosity variation is only 15% of its averaged value. The viscosity of the oscillating current can be represented by its averaged value with an error within 15%.

【基金】 国家自然科学基金课题 ( 4 9790 1 0 0 1 );山东省自然科学基金课题 ( Y97A0 4 0 0 9)资助
  • 【文献出处】 青岛海洋大学学报(自然科学版) ,Journal of Ocean University of Qingdao , 编辑部邮箱 ,2001年06期
  • 【分类号】P731.2
  • 【被引频次】4
  • 【下载频次】156
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