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三维浅海潮流模型及其混合有限分析解法
A three-dimensional model of coastal sea with hybrid finite analytic method
【Author】 Jiang Guo-qiang Tao Jian-hua Huai Wen-xin (School of Mechanical Engineering Tianjin University, Tianjin 300072,China; College of Water Resources and Hydropower Wuhan University, Wuhan 430072,China)
【机构】 天津大学机械工程学院; 武汉大学水利水电学院;
【摘要】 本文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潮流数学模型,并采用干湿判别动边界技术处理潮滩问题。数值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,最后,采用三个算例验证了本文模型及其混合有限分析解法模拟潮流、风生流及处理潮滩动边界问题的有效性和正确性。
【Abstract】 In this paper, Based on the non-linear Navier-Stokes Equation with a free surface. A three-dimensional mathematical model of coastal sea has been deduced throng transformation of sigma, flood and ebb method is combined to deal with the periodical flooding and ebbing of a beach due to tidal excursion. The hybrid finite analytic method were applied to numerically simulate the flow characteristics, which possesses the advantage of auto-upwind, higher accuracy and good stability. At last, the three cases have been used to validate the efficiency and exactness of model about to tidal flow, wind driven circulation and flooding and ebbing of a beach.
【Key words】 Three-dimensional mathematical model; hybrid finite analytic method; flood and ebb method;
- 【会议录名称】 第十八届全国水动力学研讨会文集
- 【会议名称】第十八届全国水动力学研讨会
- 【会议时间】2004
- 【会议地点】中国北京
- 【分类号】TV139.2
- 【主办单位】《水动力学研究与进展》编委会、中国力学学会、中国造船工程学会、新疆大学、新疆农业大学、新疆水利水电勘测设计研究院、新疆风能工程技术研究中心