A Finite Volume Scheme for Three-Dimensional Diffusion Equations

被引：10
|
作者：
Lai, Xiang [2 ]
Sheng, Zhigiang [1 ]
Yuan, Guangwei [1 ]
机构：
[1] Inst Appl Phys & Computat Math, Lab Sci & Technol Computat Phys, Beijing 100088, Peoples R China
[2] Shandong Univ, Dept Math, Jinan 250100, Peoples R China
来源：
COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2015年 / 18卷 / 03期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Finite volume scheme; diffusion equation; tetrahedral meshes; 9 POINT SCHEME; UNSTRUCTURED GRIDS; TENSOR COEFFICIENTS; FLUX APPROXIMATIONS; ANISOTROPIC MEDIA; OPERATORS; DISCRETIZATION; SUPPORT;
D O I：
10.4208/cicp.140813.230215a
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页码：650 / 672
页数：23
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