@Article{CiCP-18-650, author = {}, title = {A Finite Volume Scheme for Three-Dimensional Diffusion Equations}, journal = {Communications in Computational Physics}, year = {2018}, volume = {18}, number = {3}, pages = {650--672}, 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 are proved on distorted meshes. The numerical results illustrate that the method appears to be approximate second-order accuracy for solution.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.140813.230215a}, url = {http://global-sci.org/intro/article_detail/cicp/11044.html} }