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| 不可压缩粘性流的SU/PG加罚有限元分析 | |
| 引用本文： | 沈晓薇,魏泳涛,于建华. 不可压缩粘性流的SU/PG加罚有限元分析[J]. 西南民族学院学报(自然科学版), 2008, 34(1): 194-198 |
| 作者姓名： | 沈晓薇 魏泳涛 于建华 |
| 作者单位： | 四川大学工程力学系,成都610065 |
| 摘 要： | 对不可压缩粘性Navier-Stokes方程，通过罚函数改写了连续性方程．建立了基于速度-压力变量的SU／PG有限元法格式，并导出了相应的Newton-Raphson同步迭代算法，完成了相应有限元列式推导．通过二维方腔中的上盖板拖动流的算例。验证了该算法的有效性． |
| 关 键 词： | Navivr-Stokcs方程 罚函数法 SU／PG有限元 Newton-Raphson迭代 |
| 文章编号： | 1003-2843（2008）01-0194-05 |
| 收稿时间： | 2007-10-22 |
| 修稿时间： | 2007-10-22 |
The SU/PG finite element analysis of incompressible viscous flow with penalty method |
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| SHEN Xiao-wei,WEI Yong-tao,YU Jian-hua. The SU/PG finite element analysis of incompressible viscous flow with penalty method[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2008, 34(1): 194-198 | |
| Authors: | SHEN Xiao-wei WEI Yong-tao YU Jian-hua |
| Abstract: | For the incompressible viscous Navier-stokes equations, a penalty function is introduced to modify the continuity equation. A SU/PG scheme of finite element method based on the velocity-pression variable is established. The corresponding Newton-Raphson synchronous iteration mehtod and the FEM formulations are deduced. Through analyzing the example of the two-dimensional lid-driven square cavity flow, it indicates that the algorithm is efficient. |
| Keywords: | Navier-Stokes equation penalty function method SU/PG FEM Newton-Raphson iteration |
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