A simple and high accurate finite volume scheme for diffusion equations

Most of numerical methods for diffusion equations, refer to vertex unknowns directly or indirectly, and their accuracy is ultimately determined by the approximation to vertex unknowns. Based on the “twin-fitting” method, a simple and high accurate treatment for the vertex unknowns is developed and i...

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Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 41; no. 4; pp. 5167 - 5172
Main Authors Jing, Zhucui, Song, Shuhong
Format Journal Article
LanguageEnglish
Published Amsterdam IOS Press BV 01.01.2021
Subjects
Diffusion
Finite volume method
Numerical methods
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Summary:Most of numerical methods for diffusion equations, refer to vertex unknowns directly or indirectly, and their accuracy is ultimately determined by the approximation to vertex unknowns. Based on the “twin-fitting” method, a simple and high accurate treatment for the vertex unknowns is developed and is applied to the nine-point scheme for diffusion problem. Numerical experiments show that the resulting nine-point scheme is high accurate for diffusion problems with discontinuous diffusion coefficients on distorted meshes.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-219001