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一维和二维溃坝波的混合有限分析解 被引量:10

Hybrid finite analytic solutions to 1-D and 2-D dam-break flood waves
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摘要 针对水深平均二维浅水方程高分辨率模型,采用非交错网格下的二维对流扩散方程的混合有限分析法,运用SIMPLE算法结合Rhie and Chow的动量插值技术计算二维溃坝水流.一维理论解和其他格式的二维数值结果符合良好,表明非交错网格下的混合有限分析法能正确有效地求解溃坝问题.进而对部分溃决情况下的溃坝波传播和绕流问题进行了数值模拟,给出了精细的数值结果,揭示了复杂的运动特性,进一步表明混合有限分析法具有较强的溃坝波的捕捉能力,是求解溃坝流动的有效方法之一. Two-dimensional dam break floor waves were calculated by hybrid finite analytic method with non-staggered grid and by Rhie and Chow's momentum interpolation technique, based on the high resolution model for depth-averaged two-dimensional shallow water flow. The numerical results of this scheme were compared with one-dimensional theoretical solutions and other formals' two-di- mensional numerical results. The results show that the numerical solution of the dam-break problem can be obtained by hybrid finite analytic method correctly and effectively. The propagation and diffraction of dam-break waves induced by a partly destructed dam are stimulated numerically to reveal the complicated flow characteristics of dam-break waves. It is seen that hybrid finite analytic method is one of the effective methods to solve dam-break problems, having good shock-capturing capability.
出处 《华中科技大学学报(自然科学版)》 EI CAS CSCD 北大核心 2006年第9期48-50,共3页 Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金 国家自然科学基金资助项目(50479038)
关键词 溃坝 混合有限分析法 浅水方程 绕射 dam-break hybrid finite analytic method shallow water equation diffraction
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