| Finite volume element method for analysis of unsteady reaction–diffusion problems |
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| 作者姓名： | Sutthisak Phongthanapanich Pramote Dechaumphai |
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| 作者单位： | [1]Department of Mechanical Engineering Technology, College of Industrial Technology, King Mongkut＇s University of Technology North Bangkok, Bangkok 10800, Thailand [2]Mechanical Engineering Department, Chulalongkom University, Bangkok 10330, Thailand |
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| 基金项目： | The authors are pleased to acknowledge the Thailand Research Fund （TRF） for supporting this research work. |
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| 摘 要： | A finite volume element method is developed for analyzing unsteady scalar reaction-diffusion problems in two dimensions. The method combines the concepts that are employed in the finite volume and the finite element method together. The finite volume method is used to discretize the unsteady reaction-diffusion equation, while the finite element method is applied to estimate the gradient quantities at cell faces. Robustness and efficiency of the combined method have been evaluated on uniform rectangular grids by using available numerical solutions of the two-dimensional reaction-diffusion problems. The numerical solutions demonstrate that the combined method is stable and can provide accurate solution without spurious oscillation along the high-gradient boundary layers.
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| 关 键 词： | 有限体积元方法 反应扩散问题 稳定因素 有限元方法 反应扩散方程 有限体积方法 细胞数量 矩形网格 |
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