| 摘要: |
| 将半离散中心迎风数值通量和三阶WENO重构结合起来，由此得到了一种求解一维浅水方程的高分辨率数值方法．对底坡项的离散保证了计算方法的和谐性，离散摩阻项的方法简单有效．时间的离散采用保持强稳定性质的Runge-Kutta方法．应用文中方法对几个典型算例进行检验计算，结果表明本文方法健全，而且对激波具有较高的分辨率． |
| 关键词: 一维浅水方程 中心迎风格式 WENO重构 |
| DOI： |
| 分类号:TV131.3 TV131.4 |
| 基金项目:国家自然科学基金 |
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| Numerical solution of one-dimensional shallow water equations by semi-discrete central-upwind scheme |
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CHEN Jian-zhong,SHI Zhong-ke
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| Abstract: |
| A high-resolution method for solving one-dimensional shallow water equations is presented by combing the semi-discrete central-upwind numerical flux with the third-order weighted essentially non-oscillatory(WENO) reconstruction.The discretization of bottom topography assures well-balanced approximation and the discretization of friction slop is simple and effective.The third-order strong stability preserving Runge-Kutta method is used for time discretization.Validity of several typical samples show that this method is effective and has high precision for shock waves. |
| Key words: one-dimensional shallow water equations central-upwind scheme WENO reconstruction |
