An extremum-preserving finite volume scheme for convection-diffusion equation on general meshes

Gang Peng, Zhiming Gao and Xinlong Feng

Applied Mathematics and Computation, 2020, vol. 380, issue C

Abstract: We present an extremum-preserving finite volume scheme for the convection-diffusion equation on general meshes in this article. The harmonic averaging point locating at the interface of heterogeneity are utilized to define the auxiliary unknowns. The second-order upwind method with a slope limiter is used for the discretization of convection flux. This scheme has only cell-centered unknowns and possesses a small stencil. The extremum-preserving property of this scheme is proved by standard assumption. Numerical results demonstrate that the extremum-preserving scheme is an efficient method in solving the convection-diffusion equation on distorted meshes.

Keywords: Convection-diffusion equation; Extremum-preserving principle; Harmonic averaging point; General meshes (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:380:y:2020:i:c:s0096300320302599

DOI: 10.1016/j.amc.2020.125301

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