On setting a pressure datum when computing incompressible flows

DOI<19::AID-FLD758>3.0.CO;2-0 10.1002/(SICI)1097-0363(19990115)29:1<19::AID-FLD758>3.0.CO;2-0zbMath0936.76034OpenAlexW1967097627MaRDI QIDQ4254667

Andrew Yeckel, Jeffrey J. Derby

Publication date: 29 June 1999

Full work available at URL: https://doi.org/10.1002/(sici)1097-0363(19990115)29:1<19::aid-fld758>3.0.co;2-0

zbMATH Keywords

convergenceboundary tractionDirichlet velocity conditionGMRES-based iterative solverpressure-stabilized finite element methods

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)

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Cites Work

• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
• Parallel computation of incompressible flows in materials processing: Numerical experiments in diagonal preconditioning
• Massively parallel finite element computations of three-dimensional, time-dependent, incompressible flows in materials processing systems
• GMRES On (Nearly) Singular Systems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations: Part 1
• The cause and cure (!) of the spurious pressures generated by certain fem solutions of the incompressible Navier-Stokes equations: Part 2
• The implementation of normal and/or tangential boundary conditions in finite element codes for incompressible fluid flow
• Stabilized Finite Element Formulations for Incompressible Flow Computations
• FINITE VOLUME ANALYSIS OF SPIRAL MOTION IN A RECTANGULAR LID-DRIVEN CAVITY

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