Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations

DOI10.1090/mcom/3260zbMath1390.35231arXiv1607.01968OpenAlexW2485041117MaRDI QIDQ4605695

David Maltese, Raphaèle Herbin, Thierry Gallouet, Jean-Claude Latché

Publication date: 27 February 2018

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.01968

zbMATH Keywords

convergenceNavier-Stokes equationscompressible fluidsCartesian gridsmarker and cell scheme

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (5)

Linearly Decoupled Energy-Stable Numerical Methods for Multicomponent Two-Phase Compressible Flow ⋮ Well-Balanced Discretisation for the Compressible Stokes Problem by Gradient-Robustness ⋮ On convergence of Chorin's projection method to a Leray-Hopf weak solution ⋮ Discrete functional analysis tools for some evolution equations ⋮ Convergence of a finite volume scheme for the compressible Navier–Stokes system

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