Composite finite volume schemes for the diffusion equation on unstructured meshes

被引：0

作者：

Blanc, Xavier ^{[1
]}

Hoch, Philippe ^{[2
]}

Lasuen, Clement ^{[2
]}

机构：

[1] Sorbonne Univ, Univ Paris Cite, CNRS, Lab Jacques Louis LJLL, F-75006 Paris, France

[2] CEA, DAM, DIF, F-91297 Arpajon, France

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2024年 / 156卷

关键词：

Finite volume schemes; Diffusion equation; TENSOR COEFFICIENTS; MAXIMUM PRINCIPLE; APPROXIMATION; OPERATORS; DISCRETIZATION; CONVERGENCE; POSITIVITY; 2ND-ORDER;

D O I：

10.1016/j.camwa.2023.12.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a finite volume scheme for the anisotropic diffusion equation. The scheme is based on a reformulation of the diffusion equation as an advection equation. We prove that it is first order consistent and stable under a parabolic CFL condition. We propose a second order extension with similar properties. We also propose a third order extension. Numerical tests are provided, confirming the expected properties of the scheme.

引用

页码：207 / 217

页数：11

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