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Christies, I., Griffiths, D.F., Mitchell, A.R. and Zienkiewicz, O.C. (1976) Finite element methods for second order differential equations with significant first derivatives. International Journal for Numerical Methods in Engineering, 10, 1389-1396.

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• 标题: 有限谱有限元法求解二维不可压缩Navier-Stokes方程A Finite Spectral Finite Element Method for Incompressible Navier-Stokes Equations

  作者: 王健平

  关键字: 有限谱有限元法, Navier-Stokes方程, 方腔流Finite Spectral Finite Element Method, Navier-Stokes Equation, Cavity Flow

  期刊名称: 《International Journal of Mechanics Research》, Vol.3 No.3, 2014-09-24

  摘要: 利用有限元的思想并结合有限谱法提出求解偏微分方程的有限谱有限元方法，在元素内部基函数使用有限谱基函数。将此方法应用于求解不可压缩Navier-Stokes方程，具体求解了二维方腔流顶盖驱动流，并与基准解对比获得了比较好的结果。A finite element method combined with the idea of finite spectral method was represented to solve the partial differential equations. In each element, finite spectral interpolation functions were used. The finite spectral finite element method was used to solve incompressible Navier- Stokes equations in this paper. The results of 2D-square cavity flow are presented and are in agreement with the accepted benchmark solutions.