A robust and efficient finite volume scheme for the discretization of diffusive flux on extremely skewed meshes in complex geometries

DOI10.1016/j.jcp.2009.04.007zbMath1169.65344OpenAlexW2056871215MaRDI QIDQ834068

Philippe Traoré, Christophe Louste, Yves Marcel Ahipo

Publication date: 19 August 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.04.007

zbMATH Keywords

finite volumePoisson equationdeferred correctiondiffusive flux discretizationdistorted gridskewed meshes

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (8)

Evaluation of diffusive flux across faces of arbitrary shaped finite volume cells ⋮ Effects of cell quality in grid boundary layer on the simulated flow around a square cylinder ⋮ An adaptive discretization of incompressible flow using a multitude of moving Cartesian grids ⋮ Robust and accurate viscous discretization via upwind scheme. I: Basic principle ⋮ An exact-interface-fitted mesh generator and linearity-preserving finite volume scheme for anisotropic elliptic interface problems ⋮ A finite volume formulation for transient convection and diffusion equations with unstructured distorted grids and its applications in fluid flow simulations with a collocated variable arrangement ⋮ Macro-scale heat transfer in periodically developed flow through isothermal solids ⋮ A unification of least-squares and Green-Gauss gradients under a common projection-based gradient reconstruction framework

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