一维泥石流的静动力阻力特征研究及数值模拟

樊赟赟; 王思敬; 王恩志

一维泥石流的静动力阻力特征研究及数值模拟

1.
清华大学水沙科学与水利水电工程国家重点实验室北京 100086;
2.
中国科学院地质与地球物理研究所北京 100029

基金项目:

国家自然科学基金项目(40872152)十一五国家科技支撑计划重点项目(2006BAK30B02)、水沙科学与水利水电工程国家重点实验室自筹项目

详细信息

作者简介:
樊赟赟,主要从事水岩动力过程研究.Email:fyun1982@gmail.com

中图分类号: P642.2; X141
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- 被引次数: 0
出版历程
- 收稿日期: 2009-11-20
- 修回日期: 2010-03-24
- 刊出日期: 2010-12-25

CHARACTERISTICS OF STATIC AND DYNAMIC RESISTANCE OF ONE-DIMENSIONAL DEBRIS FLOW AND ITS NUMERICAL SIMULATION

1.
State Key Laboratory of Hydroscience and Engineering,Tsinghua University,Beijing 100084;
2.
Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029

摘要

摘要: 泥石流是山区多发的一种地质灾害,它的发生和发展威胁着人们的生命和财产安全,影响着人们的正常生活,因而需要加强对其发生和发展过程的研究。结合泥石流的动力模型方程采用数值模拟方法再现泥石流发生和发展的过程,是研究和预测模拟泥石流灾害的有效手段。目前的动力模型方程大多只关注动力过程,却忽视了静动力过程的统一,这将导致在一些情况下产生错误的结果。本文研究了一维泥石流的静动力阻力特征,通过修正泥石流动力学方程的阻力项,得到了具有静动力统一特征的模型方程。并以Roe格式的近似Riemann解为基础,采用MUSCL线性重构方法建立了具有较高精度和分辨率的有限体积数值求解。具体算例的数值验证表明,方程阻力项的修正是合理的,所建立的数值求解也是稳定和有效的。
- 泥石流 /
- 阻力特征 /
- Roe格式
Abstract: Debris flow is one of the common mountain hazards and seriously threatens human lives and belongings and affects society development. Therefore,it is necessary to study more about its happening and development. The approach of combining the dynamic model equations with the use of the numerical methods can lead to in-depth understanding of the development of debris flow. This is an effective approach to study and forecast the debris flow disasters. However,a majority of the present dynamic model equations focus on the dynamic process,and ignore the combination of the static and dynamic process. In fact,this neglect may result in some mis-leading results under some condition. In this paper,the characteristics of static and dynamic resistance of one-dimensional debris flow are studied. By modifying the friction resistance term of the kinetic equation,the model equation is obtained for the uniform characteristic of static and dynamic. Based on the approximate Riemann solver of Roe scheme,the numerical solution with higher precision and resolution is achieved by use of MUSCL linear reconstruction.The numerical validation of an actual example proves the rationality of the modification of friction resistance term and the stability and effectivity of the developed numerical calculation.
- Debris flow /
- Characteristics /
- Static and dynamic resistance

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