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基于混合有限分析法的三维浅海湍流模型及验证
引用本文:姜国强,任秀文,李炜,陶建华. 基于混合有限分析法的三维浅海湍流模型及验证[J]. 海洋技术学报, 2010, 29(1)
作者姓名:姜国强  任秀文  李炜  陶建华
作者单位:环境保护部华南环境科学研究所,广东,广州,510655;武汉大学水利水电学院,湖北,武汉,430072;天津大学机械工程学院,天津,300072
基金项目:国家科技支撑计划课题(2006BAK01A14);;中央级公益性科研院所基本科研业务专项-珠江河口生态动力学过程和数值模拟技术研究(20080112)
摘    要:文章以具有自由表面的三维非线性Navier-Stokes方程组为基本控制方程,垂向采用σ坐标变换后得到三维浅海湍流数学模型。数值模拟求解方法采用具有自动迎风、精度高及稳定性好的混合有限分析法求解,最后,以渤海湾潮流模拟算例验证了文中模型及其混合有限分析解法模拟潮流的正确性和应用于工程实际问题的适用性。

关 键 词:三维  湍流数学模型  混合有限分析解法  σ坐标变换

A Three-dimensional Turbulent Mathematical Model for Coastal Sea Based on Hybrid Finite Analytic Method and its Validation
JIANG Guo-qiang,REN Xiu-wen,LI Wei,TAO Jian-hua. A Three-dimensional Turbulent Mathematical Model for Coastal Sea Based on Hybrid Finite Analytic Method and its Validation[J]. Ocean Technology, 2010, 29(1)
Authors:JIANG Guo-qiang  REN Xiu-wen  LI Wei  TAO Jian-hua
Affiliation:1.South China Institute of Environmental Sciences;MEP;Guangzhou Guangdong 510655;China;2.College of Water Resources and Hydropower Wuhan University;Wuhan Hubei 430072;3.Department of Mechanics;School of Mechanical Engineering Tianjin University;Tianjin 300072;China
Abstract:Based on the non-linear Navier-Stokes Equation with a free surface,a three-dimensional turbulent mathematical model of coastal sea has been deduced throng transformation of sigma.The hybrid finite analytic method was applied to numerically simulate the flow characteristics,which possesses the advantage of auto-upwind,higher accuracy and good stability.At last,the tidal flow of Bohai Bay cases have been used to validate the efficiency and exactness of model about to tidal flow.
Keywords:three-dimensional  turbulent mathematical model  hybrid finite analytic method  transformation of sigma  
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