Convergence of the marker-and-cell scheme for the incompressible Navier-Stokes equations on non-uniform grids

DOI10.1007/s10208-016-9338-4zbMath1459.65168arXiv1701.04553OpenAlexW2593889524MaRDI QIDQ1704820

K. Mallem, Jean-Claude Latché, Raphaèle Herbin, Thierry Gallouet

Publication date: 13 March 2018

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04553

zbMATH Keywords

finite volume methodsMAC schemeincompressible Navier-Stokes

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (11)

Non-linearly stable reduced-order models for incompressible flow with energy-conserving finite volume methods ⋮ Convergence of the MAC scheme for the incompressible Navier-Stokes equations with variable density and viscosity ⋮ Linearly Decoupled Energy-Stable Numerical Methods for Multicomponent Two-Phase Compressible Flow ⋮ A staggered projection scheme for viscoelastic flows ⋮ An asymptotic preserving and energy stable scheme for the barotropic Euler system in the incompressible limit ⋮ Analysis of the MAC scheme for the three dimensional Stokes problem ⋮ Convergence of the fully discrete incremental projection scheme for incompressible flows ⋮ A locally stabilized collocated finite volume method for the stationary Stokes problem ⋮ A Marker-and-Cell Scheme for Viscoelastic Flows on Non Uniform Grids ⋮ On convergence of Chorin's projection method to a Leray-Hopf weak solution ⋮ Error estimates for the implicit MAC scheme for the compressible Navier-Stokes equations

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