马斯京根-康吉洪水演算方法的稳定性分析

基金项目: 国家重点基础研究发展规划项目(G1999043607);教育部高等学校骨干教师支持计划(1999)

详细信息

Stability Condition Analysis of Muskingum-Cunge Flood Routing Method

Funds: The Project is a key basic research programme of China(G1999043607)

摘要: 基于运动波差分解的数值扩散,在一定条件下可以模拟扩散波物理扩散的概念,利用有限差分方法,建立了马斯京根-康吉洪水演算方法.对于该差分格式中的权重系数X,国内外长期以来没有统一的定论.本文据此利用Von Neumann稳定性分析方法,对该差分格式进行了较为深入的分析,且得到了该差分格式的稳定性条件.
- 运动波 /
- 扩散波 /
- 马斯京根-康吉 /
- 稳定性分析
Abstract: Based on the concept of the numerical dispersion of Kinematic-wave to model the physical dispersion of diffusion wave at a certain condition,the Muskingum-Gunge flood routing method is developed by means of the finite difference method.As for the weighting factor X in the method,hydrologists have not obtained a uniform conclusion for along time,so this paper researches the problem using the Von Neumann and the stability condition of the routing method is systematically analyzed.
- kinematic-wave /
- diffusive-wave /
- Muskingum-Cunge /
- stability condition analysis

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