Weak imposition of boundary conditions for the Navier-Stokes equations by a penalty method

DOI10.1002/fld.1950zbMath1171.76023OpenAlexW1966750199MaRDI QIDQ3182037

Atife Çağlar, Anastasios Liakos

Publication date: 2 October 2009

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.1950

zbMATH Keywords

finite element methodoptimal order of convergenceno-slip conditionno-penetration condition

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (8)

Penalty method for the stationary Navier-Stokes problems under the slip boundary condition ⋮ Stokes equations with penalised slip boundary conditions ⋮ Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition ⋮ The Crouzeix-Raviart element for the Stokes equations with the slip boundary condition on a curved boundary ⋮ Weak imposition of boundary conditions for the Navier--Stokes equations. ⋮ On weak Dirichlet boundary conditions for elliptic problems in the continuous Galerkin method ⋮ Penalty: finite element approximation of Stokes equations with slip boundary conditions ⋮ Penalty method with Crouzeix–Raviart approximation for the Stokes equations under slip boundary condition

Cites Work

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• Finite element approximation of the Navier-Stokes equations
• Finite element approximation of incompressible Navier-Stokes equations with slip boundary condition. II
• Slip with friction and penetration with resistance boundary conditions for the Navier-Stokes equations -- numerical tests and aspects of the implementation
• Weak imposition of no-slip conditions in finite element methods
• Finite Element Methods for Navier-Stokes Equations
• A Penalty and Extrapolation Method for the Stationary Stokes Equations

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