An explicit characteristic finite volume element method for non-divergence free convection-diffusion-reaction equation

被引：0
作者：
Phongthanapanich, S. [1 ]
Dechaumphai, P. [2 ]
机构：
[1] King Mongkuts Univ Technol, Coll Ind Technol, Dept Mech Engn Technol, Bangkok 10800, Thailand
[2] Chulalongkorn Univ, Fac Engn, Dept Mech Engn, Bangkok 10330, Thailand
来源：
INTERNATIONAL JOURNAL OF ADVANCES IN ENGINEERING SCIENCES AND APPLIED MATHEMATICS | 2012年 / 4卷 / 03期
关键词：
Convection-diffusion-reaction equation; Characteristic-based scheme; Finite volume element method; Explicit scheme;
D O I：
10.1007/s12572-012-0071-1
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A second-order accurate characteristic-based finite volume element method, for analyzing time-dependent scalar convection-diffusion-reaction equation in two dimensions, is presented. The concept of the characteristic-based scheme is applied to solve the convection-diffusion-reaction equation. The finite volume method is employed to establish the discretized equations for the spatial domain, while the weighted residuals finite element technique is used to estimate the gradient quantities at the cell faces and cell-centered of the control volume. Numerical test cases have shown that the method reduces spurious oscillations and does not require an explicit artificial diffusion for improving the solution stability. The efficiency, robustness and convergence order of the method are investigated by using available analytical and numerical solutions of convection-diffusion-reaction problems.
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收藏
页码：179 / 192
页数：14
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