Comparison of interpolation functions in control volume finite element method and numerical analysis

被引：0

作者：

Song, Yu ^{[1
]}

Cao, Shuliang ^{[1
]}

机构：

[1] State Key Laboratory of Hydroscience and Engineering, Tsinghua University

来源：

Nongye Jixie Xuebao/Transactions of the Chinese Society of Agricultural Machinery | 2012年 / 43卷 / 07期

关键词：

Channel flow; Control volume; Finite element method; Incompressible flow; Interpolation function;

D O I：

10.6041/j.issn.1000-1298.2012.07.014

中图分类号：

学科分类号：

摘要：

Control volume finite element method to solve incompressible flow problems was investigated. The streamline FCBI method was built and compared with the original FCBI and general FCBI method. Lid-driven cavity flow and S-channel flow were chosen as the test cases. The similarities and differences among the three interpolation functions were discussed according to the analysis. The results showed that for convection-dominated flow, especially with complex performances, the Streamline FCBI method could better describe the velocity distributions in the element and achieve more stable converged results. For convection-diffusion problems, the precision of all the methods were low when element Re was high. From the analysis that for convection-diffusion problems, it is concluded that good results can be achieved by using FCBI methods when element Re is less than 5.

引用

页码：79 / 84

页数：5

共 11 条

[1]

Baliga B.R., Patankar S.V., A control volume finite-element method for two-dimensional fluid flow and heat transfer, Numerical Heat Transfer, 6, 3, pp. 245-262, (1983)

[2]

Banaszek J., Comparison of control volume and Galerkin finite element methods for diffusion-type problems, Numerical Heat Transfer, Part B, 16, 1, pp. 59-78, (1989)

[3]

Martinez M.J., Comparison of Galerkin and control volume finite element for advection-diffusion problems, International Journal for Numerical Methods in Fluids, 50, 3, pp. 347-376, (2006)

[4]

Piller M., Stalio E., Development of a mixed control volume-finite element method for the advection-diffusion equation with spectral convergence, Computers & Fluids, 40, 1, pp. 269-279, (2011)

[5]

Bathe K.J., Zhang H., A flow-condition-based interpolation finite element procedure for incompressible fluid flows, Computers & Structures, 80, 14-15, pp. 1267-1277, (2002)

[6]

Bathe K.J., Zhang H., Finite element developments for general fluid flows with structural interactions, International Journal for Numerical Methods in Engineering, 60, 1, pp. 213-232, (2004)

[7]

Ghia U., Ghia K.N., Shin C.T., High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method, Journal of Computational Physics, 48, 3, pp. 387-411, (1982)

[8]

Bathe K.J., Finite Element Procedures, (1996)

[9]

(2002)

[10]

Zienkiewicz O.C., Taylor R.L., (2008)

← 1 2 →