A Finite Volume Scheme for Three-Dimensional Diffusion Equations. (14th September 2015)

• Record Type: Journal Article
• Authors: Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei
• Is Part Of: Communications in computational physics. Volume 18:Number 3(2015:Sep.)
• Page Start: 650
• Page End: 672
• Publication Date: 2015-09-14
• Subjects: 65M08, -- 65M12, -- 65M55; Finite volume scheme, -- diffusion equation, -- tetrahedral meshes; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.140813.230215a
• Languages: English
• ISSNs: 1815-2406

Abstract

Abstract: The extension of diamond scheme for diffusion equation to three dimensions is presented. The discrete normal flux is constructed by a linear combination of the directional flux along the line connecting cell-centers and the tangent flux along the cell-faces. In addition, it treats material discontinuities by a new iterative method. The stability and first-order convergence of the method is proved on distorted meshes. The numerical results illustrate that the method appears to be approximate second-order accuracy for solution.