A 3D face interpolated discretisation method for simulating anisotropic diffusive processes on meshes coming from wood morphology

DOI10.1016/j.apnum.2023.06.010zbMath1528.65095MaRDI QIDQ6086880

El Houssaine Quenjel, Patrick Perré, Ian W. Turner

Publication date: 10 November 2023

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

anisotropysecond-order accuracythermal conductivitydiffusive equations3D discrete gradientwood morphology

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

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• A finite volume method for approximating 3D diffusion operators on general meshes
• Macroscopic thermal properties of real fibrous materials: volume averaging method and 3D image analysis
• Differencing of the diffusion equation in Lagrangian hydrodynamic codes
• The gradient discretisation method
• An introduction to multipoint flux approximations for quadrilateral grids
• A 3-D version of TransPore: A comprehensive heat and mass transfer computational model for simulating the drying of porous media
• Node-diamond approximation of heterogeneous and anisotropic diffusion systems on arbitrary two-dimensional grids
• Numerical convergence of a parameterisation method for the solution of a highly anisotropic two-dimensional elliptic problem
• The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes
• The mimetic finite difference method for elliptic problems
• 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids
• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
• Discrete duality finite volume schemes for Leray−Lions−type elliptic problems on general 2D meshes
• Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem
• Discretization on Unstructured Grids For Inhomogeneous, Anisotropic Media. Part II: Discussion And Numerical Results
• On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality
• A Dual-Scale Modeling Approach for Drying Hygroscopic Porous Media
• A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS
• A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids

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