Title
An Improvement of the Two-Point Flux Approximation Scheme on Polygonal Meshes
Abstract
•A diffusion scheme based on a nonlinear combination of two-side flux, instead of one-side flux, is constructed.•It is an improvement of the TPFA scheme by adding a nonlinear tangential component in the construction of discrete flux.•It satisfies the maximum principle and has a minimal stencil on polygonal meshes.•Numerical results show that it is second order accurate on 2D skewed meshes for anisotropic diffusion problems.
Year
DOI
Venue
2019
10.1016/j.jcp.2019.04.045
Journal of Computational Physics
Keywords
Field
DocType
Anisotropic diffusion equation,Finite volume method,Discrete maximum principle,Polygonal mesh
Anisotropic diffusion,Discretization,Polygon,Polygon mesh,Maximum principle,Nonlinear system,Mathematical analysis,Stencil,Tangential and normal components,Mathematics
Journal
Volume
ISSN
Citations 
392
0021-9991
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Lina Chang100.34
Zhiqiang Sheng212914.39
Guangwei Yuan316523.06