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.
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页码：207 / 217
页数：11
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