A finite element penalty-projection method for incompressible flows

DOI10.1016/j.jcp.2006.01.019zbMath1160.76366OpenAlexW2154047675MaRDI QIDQ2508891

Philippe Angot, C. Lapuerta, B. Piar, M. Jobelin, Jean-Claude Latché

Publication date: 20 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.01.019

zbMATH Keywords

finite elementsincompressible flowsprojection methodpenalty methodNavier-Stokes

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)

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Uses Software

• FEATFLOW

Cites Work

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• Application of a fractional-step method to incompressible Navier-Stokes equations
• A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows
• On the approximation of the unsteady Navier-Stokes equations by finite element projection methods
• Efficient solvers for incompressible flow problems. An algorithmic and computational approach
• Remarks on the pressure error estimates for the projection methods
• A second-order projection method for the incompressible Navier-Stokes equations
• 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
• On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 1: Theory
• On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation
• Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
• Finite Element Methods for Navier-Stokes Equations
• A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
• On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
• Un résultat de convergence d'ordre deux en temps pour l'approximation des équations de Navier–Stokes par une technique de projection incrémentale
• Effective downstream boundary conditions for incompressible Navier–Stokes equations
• On the error estimates for the rotational pressure-correction projection methods
• On Error Estimates of the Penalty Method for Unsteady Navier–Stokes Equations
• On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
• Some implementations of projection methods for Navier-Stokes equations
• Sur une méthode de projection vectorielle pour la résolution des équations de Navier-Stokes
• Numerical Solution of the Navier-Stokes Equations
• AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS
• Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions
• On error estimates of some higher order penalty-projection methods for Navier-Stokes equations
• Éléments finis: théorie, applications, mise en œuvre.