Error estimates for an operator-splitting method for Navier-Stokes equations: second-order schemes

DOI10.1016/j.cam.2009.04.014zbMath1167.76024OpenAlexW2085901078MaRDI QIDQ2271958

Jie Sun, Xiaoxia Dai, Xiao-liang Cheng

Publication date: 5 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.04.014

zbMATH Keywords

mild regularityfractional-step methods

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (5)

On efficient high-order semi-implicit time-stepping schemes for unsteady incompressible Navier-Stokes equations ⋮ Corrigendum to ``Error estimates for an operator-splitting method for Navier-Stokes equations: second-order schemes ⋮ A New Higher Order Fractional-Step Method for the Incompressible Navier-Stokes Equations ⋮ A note on the Stokes operator and its powers ⋮ A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals

Cites Work

• Unnamed Item
• Application of a fractional-step method to incompressible Navier-Stokes equations
• Boundary conditions for incompressible flows
• Remark on the pressure boundary condition for the projection method
• A second-order projection method for the incompressible Navier-Stokes equations
• Error estimates for an operator-splitting method for incompressible flows
• An overview of projection methods for incompressible flows
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
• A fractional-step method for the incompressible Navier-Stokes equations related to a predictor-multicorrector algorithm
• Velocity-Correction Projection Methods for Incompressible Flows
• On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
• Une méthode d'approximation de la solution des équations de Navier-Stokes
• Numerical Solution of the Navier-Stokes Equations
• The Gauge--Uzawa Finite Element Method. Part I: The Navier--Stokes Equations
• On error estimates of some higher order penalty-projection methods for Navier-Stokes equations

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