A Finite Volume Scheme for Three-Dimensional Diffusion Equations

A Finite Volume Scheme for Three-Dimensional Diffusion Equations

Year:    2015

Communications in Computational Physics, Vol. 18 (2015), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.140813.230215a

Communications in Computational Physics, Vol. 18 (2015), Iss. 3 : pp. 650–672

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:   

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