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DOI码：10.4208/aamm.OA-2021-0280

发表刊物：Advances in Applied Mathematics and Mechanics

关键字：Extremum-preserving correction, diffusion equation, distorted mesh, nine-point scheme

摘要：In this paper, we construct a new cell-centered nonlinear finite volume scheme that preserves the extremum principle for heterogeneous anisotropic diffusion equation on distorted meshes. We introduce a new nonlinear approach to construct the conservative flux, that is, a linear second order flux is firstly given and a nonlinear conservative flux is then constructed by using an adaptive method and a nonlinear weighted method. Our new scheme does not need to use the convex combination of the cell-center unknowns to approximate the auxiliary unknowns, so it can deal with the problem with general discontinuous coefficients. Numerical results show that our new scheme performs more robust than some existing schemes on highly distorted meshes.

论文类型：基础研究

学科门类：理学

一级学科：数学

文献类型：J

卷号：15

期号：2

页面范围：402-427

是否译文：否

发表时间：2023-01-04

收录刊物：SCI