| 用动力学的流矢量分裂法计算溃坝波问题 |
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| 引用本文： | 施卫平,耿爱芳. 用动力学的流矢量分裂法计算溃坝波问题[J]. 吉林大学学报(理学版), 2003, 41(2): 166-168 |
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| 作者姓名： | 施卫平 耿爱芳 |
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| 作者单位： | 吉林大学数学学院,长春,130012;长春理工大学,长春,130022 |
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| 基金项目： | 国家重大基础前期研究专项基金(批准号:2002CCA01200),教育部留学回国人员科研启动基金. |
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| 摘 要： | 采用动力学的流矢量分裂法模拟浅水长波方程. 利用气体动力学方程与浅水长波方程 之间的比拟关系, 并结合TVD差分格式给出浅水长波方程的数值计算方法. 计算了溃坝波问 题. 数值结果与精确解的比较表明, 该方法能很好地模拟浅水长波方程中的间断解问题.
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| 关 键 词： | 动力学的流矢量分裂 浅水长波方程 溃坝波 |
| 文章编号： | 1671-5489(2003)02-0166-03 |
| 收稿时间： | 2002-09-06 |
| 修稿时间： | 2002-09-06 |
Kinetic Flux Vector Splitting Method for the Shallow Water Long Wave Equation |
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| SHI Wei-ping,GENG Ai-fang. Kinetic Flux Vector Splitting Method for the Shallow Water Long Wave Equation[J]. Journal of Jilin University: Sci Ed, 2003, 41(2): 166-168 |
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| Authors: | SHI Wei-ping GENG Ai-fang |
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| Affiliation: | 1. College of Mathematics, Jilin University, Changchun 130012, China; 2. Changchun University of Science and Technology, Changchun 130022, China |
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| Abstract: | The kinetic flux vector splitting (KFVS) method was used to simulate t he shallow water long wave equation. Based on the analogy between the gas dynami c equation and shallow water long wave equation in combination with the TVD fini te difference scheme, a numerical scheme for the shallow water long wave equatio n is proposed. The dam breaking wave was calculated. The comparison of numerical solution with exact solution indicates that KFVS method can well capture the di scontinuity of the shallow water wave equation. |
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| Keywords: | kinetic flux vector splitting shallow water wave equation dam breaking wave |
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