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渗流问题数值模拟计算的新方法
引用本文:程亮,罗远诠.渗流问题数值模拟计算的新方法[J].大连理工大学学报,1990,30(2):235-242,248.
作者姓名:程亮  罗远诠
作者单位:大连理工大学土木工程系水力学研究室 (程亮,李鉴初),大连理工大学应用数学系(罗远诠)
摘    要:采用边界拟合坐标系,取渗流区域的边界为坐标线(二维问题)或坐标面(三维问题),用 Thompson法将不规则渗流域转变为规则域,从而在规则域上求解转变后的渗流方程.避免了在不规则域上划分单元及迭代运算中生成新网格的繁琐过程,尤其对三维有自由面的无压渗流问题,本方法具有精度高而工作量小等优点。

关 键 词:无压渗流  数值模拟  渗流  二维流动

New Method of Numerical Solution for Seepage Flow Problems
Cheng Liang,Li Jianchu,Luo Yuanquan.New Method of Numerical Solution for Seepage Flow Problems[J].Journal of Dalian University of Technology,1990,30(2):235-242,248.
Authors:Cheng Liang  Li Jianchu  Luo Yuanquan
Abstract:This paper deals with the numerical analysis of seepage flow using body-fitted coordinate systems. The physical region with closed arbitrarily shaped boundaries is transformed onto a rectangular region and the governing equation of seepage flow may be solved on this rectangular region with square mesh regardless of the shape or configuration of boundaries in the physical field, without the need of any changing of the grid points in the transformed plan, even when the physical location of the free surface changes during its iteratiye calculation. The major advantages of this method are its convenience of calculation and higher accuracy than that of other numerical methods,such as FEM or FDM.
Keywords:fluid dynamics  seepage with free surface  numerical simulation  three-dimensional flow  
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