On MAC schemes on triangular delaunay meshes, their convergence and application to coupled flow problems

DOI10.1002/num.21875zbMath1383.76353OpenAlexW1577107126MaRDI QIDQ2875721

Alexander Linke, Jürgen Fuhrmann, Robert Eymard

Publication date: 11 August 2014

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21875

zbMATH Keywords

finite volume methodincompressible Navier-Stokes equationscoupled flow problems

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (5)

Stable and convergent approximation of two-dimensional vector fields on unstructured meshes ⋮ Superconvergence analysis of the MAC scheme for the two dimensional stokes problem ⋮ Convergence of the marker-and-cell scheme for the incompressible Navier-Stokes equations on non-uniform grids ⋮ Coupling staggered-grid and MPFA finite volume methods for free flow/porous-medium flow problems ⋮ Convergence analysis of triangular MAC schemes for two dimensional Stokes equations

Cites Work

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• Approximation of the biharmonic problem using P1 finite elements
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• Analysis and Convergence of the MAC Scheme. I. The Linear Problem
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• Finite-element error estimates for the MAC scheme
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• A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension
• A CHARACTERISTIC-LIKE METHOD FOR THERMALLY EXPANDABLE FLOW ON UNSTRUCTURED TRIANGULAR GRIDS

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