| 利用FEPG进行Navier-Stokes方程的有限元程序的生成 |
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| 引用本文： | 万水,M.P.尼尔森.利用FEPG进行Navier-Stokes方程的有限元程序的生成[J].船舶力学,2007,11(3):328-332. |
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| 作者姓名： | 万水 M.P.尼尔森 |
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| 作者单位： | 东南大学交通学院,南京,210096;丹麦技术大学土木系,丹麦 |
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| 摘 要： | 通过有限元生成系统(FEPC)产生了粘性不可压流体Navier-Stokes方程的有限元程序.为了克服计算上的困难,利用算子分裂法将N-S方程表述的物理过程分解为扩散和对流两个过程.导出了扩散方程的弱形式,进而建立起它的有限元方程,利用最小二乘法建立起对流方程的有限元方程.利用所产生的程序对二维的粘性不可压流体的绕圆柱流动问题进行了数值模拟.
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| 关 键 词： | Navier-Stokes方程 有限元素法 粘性不可压流 算子分裂法 |
| 文章编号： | 1007-7294（2007）03-0328-05 |
| 修稿时间： | 2006-04-18 |
Generating Finite Element Program of Navier-Stokes Equation by Means of FEPG |
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| WAN Shui,M.P. NIELSEN.Generating Finite Element Program of Navier-Stokes Equation by Means of FEPG[J].Journal of Ship Mechanics,2007,11(3):328-332. |
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| Authors: | WAN Shui MP NIELSEN |
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| Institution: | 1. Transportation College, Southeast University, Nanjing 210096, China; 2. Department of the Civil Engineering Technical University of Denmark, Denmark |
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| Abstract: | The finite element program of the Navier-Stokes equation of the incompressible viscous flow is generated by Finite Element Program Generator (FEPG) successfully. In order to avoid the difficulties in computation,the operator splitting method is used to deal with the equation,in which the physical process described by N-S equation is decomposed into 2 processes: a diffusion process and a convection process.Virtual work formula of the diffusion equation and the convection equation are deduced. Convection equation is solved by the least square scheme.Numerical simulation about the incompressible viscous flow over a cylinder is made in this paper. |
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| Keywords: | Navier-Stokes equation Finite Element Method incompressible viscous flow operator splitting method |
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