Pressure separation -- a technique for improving the velocity error in finite element discretisations of the Navier-Stokes equations

DOI10.1016/j.amc.2004.04.071zbMath1125.76039OpenAlexW1971966214MaRDI QIDQ1780532

Volker John, Sashikumaar Ganesan

Publication date: 13 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.04.071

zbMATH Keywords

Finite element methodsError reductionLow order non-conforming discretisationsPressure separationSteady state Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

On high-order pressure-robust space discretisations, their advantages for incompressible high Reynolds number generalised Beltrami flows and beyond, An adaptive pressure correction method without spurious velocities for diffuse-interface models of incompressible flows, Collision in a cross-shaped domain - A steady 2D Navier-Stokes example demonstrating the importance of mass conservation in CFD, A finite element variational multiscale method for incompressible flow, Towards pressure-robust mixed methods for the incompressible Navier-Stokes equations, Stabilized finite element schemes for incompressible flow using Scott-Vogelius elements, Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection, On pressure separation algorithms (PSepA) for improving the accuracy of incompressible flow simulations, On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime, On spurious velocities in incompressible flow problems with interfaces

Uses Software

• MooNMD
• FEATFLOW

Cites Work

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