摘要
为比较最小二乘有限元法(Least Square Finite Element Method,LSFEM)和有限体积法在CFD应用中的优劣,采用最小二乘法离散不可压N-S方程的有限元模型,得到正定对称线性系统,采用高效的预处理共轭梯度法求解方程组;利用LSFEM和基于有限体积法的FLUENT分别计算Kovasznay流动、定常二维和三维后台阶流动以及非定常圆柱绕流等4个实例并比较计算结果.结果表明,LSFEM比有限体积法的收敛性和精确性更好,在CFD领域的应用价值很高.
To compare the advantages and disadvantages of Least Square Finite Element Method（LSFEM） and finite volume method in actural applications,a least square method is used to discrete the finite element model of incompressible N-S equation,the positive definite symmetric linear system is obtained,and the equations are solved by efficient preconditioned conjugate gradient method;the least square finite element method and FLUENT which is based on finite volume method are separately used to calculate the examples such as Kovasznay flow,steady 2D and 3D backward-facing step flows,and unsteady flow around cylinder.The comparison results indicate that the least square finite element method performs better convergence rate and accuracy than finite volume method and shows good application value in CFD.
出处
《计算机辅助工程》
2012年第2期1-6,共6页
Computer Aided Engineering
基金
国家重点基础研究发展计划("九七三"计划)(2011CB711203)
