A Finite Volume Scheme for Three-Dimensional Diffusion Equations

作者:Lai Xiang; Sheng Zhigiang; Yuan Guangwei*
来源:Communications in Computational Physics, 2015, 18(3): 650-672.
DOI:10.4208/cicp.140813.230215a

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.