引用Monte Carlo法的自由面渗流分析 | |
介玉新 ; JIE Yuxin | |
2010-06-10 ; 2010-06-10 | |
关键词 | 渗流 自由面 Monte Carlo方法 数值积分 有限元 seepage free surface Monte Carlo method numerical integration finite element method(FEM) TV223.4 |
其他题名 | Seepage analysis with free surface using a Monte Carlo model |
中文摘要 | 为改善迭代计算的收敛性,在有限元固定网格法求解有自由面的渗流分析中,引入Monte Carlo方法。对有自由面穿越的单元用Monte Carlo积分代替Gauss积分进行计算,或者用Monte Carlo方法计算其复合渗透系数。进行了算例分析。结果表明:该方法具有良好的收敛性,即使对于渗透系数相差悬殊的情况也能保证迭代收敛。引入Monte Carlo方法,能够使常用的自由面迭代方法(如单元传导矩阵调整法、初流量法、饱和-非饱和渗流)以及非稳定渗流问题等的收敛性有所改善。该方法编程简单且有普遍适用性。; Monte Carlo method was used to analyze seepage with a free surface using the finite element method(FEM) with a fixed mesh to improve convergence.Monte Carlo integration was used instead of Gaussian integration for the elements intersecting the free surface,with the Monte Carlo method used to calculate the composite seepage coefficient.Several examples show that the method has excellent convergence,even when the seepage coefficients vary significantly.The Monte Carlo method is simple and general,and can be introduced into commonly used free surface analysis methods such as the element conduction matrix adjustment method,the initial flow rate method,and the saturated-unsaturated seepage method,and in the unsteady seepage analysis method.; 国家“九七三”基础研究项目(2007CB714102); 水沙科学与水利水电工程国家重点实验室 |
语种 | 中文 ; 中文 |
内容类型 | 期刊论文 |
源URL | [http://hdl.handle.net/123456789/59751] ![]() |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | 介玉新,JIE Yuxin. 引用Monte Carlo法的自由面渗流分析[J],2010, 2010. |
APA | 介玉新,&JIE Yuxin.(2010).引用Monte Carlo法的自由面渗流分析.. |
MLA | 介玉新,et al."引用Monte Carlo法的自由面渗流分析".(2010). |
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