| 用离散速度方法计算浅水长波方程 |
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| 引用本文： | 施卫平,耿爱芳,等.用离散速度方法计算浅水长波方程[J].计算力学学报,2002,19(4):393-397. |
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| 作者姓名： | 施卫平 耿爱芳 |
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| 作者单位： | 1. 吉林大学数学系,长春,130012
2. 长春光学精密机械学院,长春,130022 |
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| 基金项目： | 国家自然科学基金资助项目 (1970 2 0 0 5 ) |
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| 摘 要： | 用离散速度法计算浅水波方程，将空气动力学方程和浅水波方程作了比较，用Nadiga提出的近平衡流动方法模拟浅水波方程的连续和间断解。计算了一维的溃坝波问题和Thacker提出的连续解问题，结果与精确解作了比较，并且计算了水流跃过障碍物的问题。
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| 关 键 词： | 浅水长波方程 离散速度法 空气动力学方程 溃坝波 连续解 |
| 文章编号： | 1007-4708(2002)04-0393-05 |
| 修稿时间： | 2000年2月25日 |
A discrete-velocity model for the shallow water long wave equation |
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| Shi Weiping,\ Geng Aifang,\ Zhang Zhongxin.A discrete-velocity model for the shallow water long wave equation[J].Chinese Journal of Computational Mechanics,2002,19(4):393-397. |
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| Authors: | Shi Weiping \ Geng Aifang \ Zhang Zhongxin |
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| Abstract: | A discrete\|velocity model is used for solving the shallow water equations. The gas macro dynamics equations are compared with the shallow water equations and the near\|equilibrium flow method given by Nagiga is used to simulate the continue and/or discontinue solutions of the shallow water equation. A one\|dimensional Dam\|Breaking problem and a continuous solution problem providedby Thacker are studied by the present method and the corresponding solutions are compared with the exact solutions. Lastly, the simulation of the problem for water flow over a ridge is also carried out. |
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| Keywords: | shallow water equation discrete velocity method |
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