A Family of Linearity-Preserving Schemes for Anisotropic Diffusion Problems on General Grids

DOI10.1080/23324309.2016.1239640OpenAlexW2552944054MaRDI QIDQ5066107

Zhiming Gao, Longshan Luo, Jiming Wu

Publication date: 29 March 2022

Published in: Journal of Computational and Theoretical Transport (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23324309.2016.1239640

zbMATH Keywords

anisotropic diffusionharmonic averaging pointlinearity-preserving criterioncompact cell-centered schemeunstructured polygonal grid

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Unnamed Item
• A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes
• Mimetic discretization of two-dimensional magnetic diffusion equations
• A cell functional minimization scheme for domain decomposition method on non-orthogonal and~non-matching meshes
• A nine-point scheme with explicit weights for diffusion equations on distorted meshes
• A cell functional minimization scheme for parabolic problem
• Robust convergence of multi point flux approximation on rough grids
• Monotone finite volume schemes for diffusion equations on polygonal meshes
• Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes
• A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media
• A local support-operators diffusion discretization scheme for quadrilateral \(r\)-\(z\) meshes
• Mimetic finite difference methods for diffusion equations
• Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media
• A stabilized linearity-preserving scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes
• A family of linearity-preserving schemes for anisotropic diffusion problems on arbitrary polyhedral grids
• Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes
• Enriched multi-point flux approximation for general grids
• Finite volume monotone scheme for highly anisotropic diffusion operators on unstructured triangular meshes. (Schéma volumes finis monotone pour des opérateurs de diffusion fortement anisotropes sur des maillages de triangles non structurés).
• Small-stencil 3D schemes for diffusive flows in porous media
• A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes
• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
• Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem
• On the accuracy of a nonlinear finite volume method for the solution of diffusion problems using different interpolations strategies
• The cell functional minimization scheme for the anisotropic diffusion problems on arbitrary polygonal grids
• Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes

This page was built for publication: A Family of Linearity-Preserving Schemes for Anisotropic Diffusion Problems on General Grids