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Finite volume element method for analysis of unsteady reaction-diffusion problems 被引量：1

Finite volume element method for analysis of unsteady reaction-diffusion problems
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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. 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.
作者 Sutthisak Phongthanapanich Pramote Dechaumphai
机构地区 Department of Mechanical Engineering Technology Mechanical Engineering Department
出处 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2009年第4期481-489,共9页 力学学报（英文版）
关键词 Finite volume element method Explicitmethod Unsteady problem Singularly perturbed equation REACTION-DIFFUSION Finite volume element method Explicitmethod Unsteady problem Singularly perturbed equation Reaction-diffusion
分类号 O241 [理学—计算数学]
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Acta Mechanica Sinica
2009年 第4期

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