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浅水波方程的二维数值模拟

Two dimensional value simulation of shallow water equation

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【作者】 向波米晓纪昌明罗庆松

【Author】 Xiang Bo, Mi Xiao, Ji Changming, Luo Qingsong(1. Beijing Hydropower Investigation, Design and Research Institute CHECC, Bejing 100024, China; 2.School of Environmental and Municipal Engineering, North China Institute of Water Conservancy andHydroelectric Power, Zhengzhou 450011, China; 3. Research Institute of Water Resources and Hydro-ElectricEngineering,University of Energy and Power Engineering, North China Power University, Beijing 102206, China;4. China Satellite Communications Corporation Human Resource Department, Beijing 100083, China)

【机构】 中国水电顾问集团北京勘探设计研究院华北水利水电学院环境与市政工程学院华北电力大学能源与动力工程学院水资源与水利水电工程研究所中国卫星通信集团人力资源部

【摘要】 非结构的三角形网格适应于复杂不规则的边界,在此基础上采用有限体积法离散浅水波方程,并结合有限差分法建立了一种新的离散格式,使得界面通量计算达到二阶精度。为了验证所建立的模型,分别对二维弯道和二维部分溃坝流动进行了模拟计算,比较了一阶精度和二阶精度的结果,并与其他的方法进行了比较,得到了较好的结果。

【Abstract】 The unstructured triangular mesh adapts to complex irregular boundary. Based on this, adopting finite volume method to disperse shallow water equation and combining with the finite difference method, this paper has developed a new discrete format that caused the interface flux to achieve second-order precision. To verify the model established, this paper has simulated and calculated the two-dimensional curve course and some two-dimensional flow of dam-break separately, and obtained preferable results comparing with other methods.

【基金】 国家自然科学基金资助项目(50579019)
  • 【文献出处】 中国工程科学 ,Engineering Sciences , 编辑部邮箱 ,2008年07期
  • 【分类号】TV139.2
  • 【被引频次】1
  • 【下载频次】278
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