| 混合插值法求解Navier-Stokes方程 |
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| 引用本文： | 万水.混合插值法求解Navier-Stokes方程[J].东南大学学报,2006,22(1):93-95. |
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| 作者姓名： | 万水 |
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| 作者单位： | 东南大学交通学院 南京210096(万水)，丹麦技术大学土木工程系 丹麦林比(Mogens Peter Nielsen) |
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| 基金项目： | Acknowledgements Thanks sincerely to professor Liang Guoping for his directions, Dr. Qian Huashan, Jia Feng and FEGENS0FT Co. Ltd. for their help and valuable material. |
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| 摘 要： | 利用算子分裂法将粘性不可压流体Navier-Stokes方程表述的物理过程分解为扩散和对流2个过程,建立起它们的有限元方程.采用9节点四边形等参元中的形函数描述单元中流体的速度场,而利用这种单元的4个顶点节点构成的插值函数描述单元中流体的压力场,通过有限元生成系统(FEPG)进行Navier-Stokes方程的单元子程序的生成,得到求解不可压粘性流体Navier-Stokes方程的有限元程序,并用它对粘性不可压流体的挠圆柱流动问题进行了数值模拟,分析结果与试验结果吻合.
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| 关 键 词： | Navier-Stokes方程 有限元法 粘性不可压流 混合插值法 |
| 收稿时间： | 06 15 2005 12:00AM |
Solving Navier-Stokes equation by mixed interpolation method |
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| Mogens Peter Nielsen,Wan Shui,Mogens Peter Nielsen.Solving Navier-Stokes equation by mixed interpolation method[J].Journal of Southeast University(English Edition),2006,22(1):93-95. |
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| Authors: | Mogens Peter Nielsen Wan Shui Mogens Peter Nielsen |
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| Institution: | 1.College of Transportation, Southeast University, Nanjing 210096, China;2. Department of Civil Engineering, Technical University of Denmark, Lyngby, Denmark |
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| Abstract: | The operator splitting method is used to deal with the Navier-Stokes equation,in which the physical process described by the equation is decomposed into two processes:a diffusion process and a convection process; and the finite element equation is established.The velocity field in the element is described by the shape function of the isoparametric element with nine nodes and the pressure field is described by the interpolation function of the four nodes at the vertex of the isoparametric element with nine nodes.The subroutine of the element and the integrated finite element code are generated by the Finite Element Program Generator (FEPG) successfully.The numerical simulation about the incompressible viscous liquid flowing over a cylinder is carried out.The solution agrees with the experimental results very well. |
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| Keywords: | Navier-Stokes equation finite element method incompressible viscous flow mixed interpolation method |
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