| 一种基于Roe格式的有限体积法在二维溃坝问题中的应用 |
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| 引用本文： | 刘臻,史宏达,黄燕.一种基于Roe格式的有限体积法在二维溃坝问题中的应用[J].中国海洋大学学报(自然科学版),2007,37(2):323-327. |
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| 作者姓名： | 刘臻 史宏达 黄燕 |
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| 作者单位： | 中国海洋大学工程学院,山东,青岛,266100 |
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| 摘 要： | 溃坝属于典型的非恒定含间断的浅水问题。应用有限体积法离散二维浅水控制方程的守恒型方程组,将基于近似黎曼解的Roe格式用于数值计算溃坝问题,并利用MUSCL方法构造二阶空间积分格式和预测-校正二步法构造二阶时间格式,从而使数值解的整体达到二阶,提高了精度。文中算法在一维溃坝的Stoker问题的数值结果与解析解进行对比,结果证明了此方法的可行性。应用此方法在二维溃坝问题上的结果,说明了此算法可有效模拟溃坝水流的演进过程。
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| 关 键 词： | 有限体积法 Roe格式 溃坝 |
| 文章编号： | 1672-5174(2007)02-323-05 |
| 修稿时间： | 2006-03-14 |
The Application of a Finite Volume Method Based on Roe's Scheme to 2-D Dam-Break Problems |
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| LIU Zhen,SHI Hong-Da,HUANG Yan.The Application of a Finite Volume Method Based on Roe''''s Scheme to 2-D Dam-Break Problems[J].Periodical of Ocean University of China,2007,37(2):323-327. |
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| Authors: | LIU Zhen SHI Hong-Da HUANG Yan |
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| Institution: | College of Engineering, Ocean University of China, Qingdao 266100, China |
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| Abstract: | The dam-break problem is a typical shallow water problem which is non-conservative and discontinuous.This paper uses the finite volume method to discretisize the 2-D shallow water governing equations,and the Roe scheme based on the approximate Riemann Solver is applied to solve the dam-break problem.A second-order space integral scheme is constructed by the MUSCL method where the second order time integral scheme is constructed by the two-step predictor-corrector method to achieve a second order uniform numerical solution,and the calculation precision is improved.Comparison between the numerical results and the analytic solutions for the Stoke's problem indicates the reliability of the method presented in this paper.The computational results for a 2-D dam-break problem demonstrate that the method can be applied to simulate dam-break water flow effectively. |
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| Keywords: | finite volume method Roe scheme dam-break |
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