A velocity-stream function method for three-dimensional incompressible fluid flow

DOI10.1016/j.cma.2011.10.013zbMath1243.76019OpenAlexW2094891386MaRDI QIDQ438072

Jonas T. Holdeman

Publication date: 20 July 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2011.10.013

zbMATH Keywords

Poiseuille flowlid-driven cavityHermite element methodincompressible 3D flowstrictly pressure-free velocityvelocity-stream function method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Cites Work

• Computation of incompressible thermal flows using Hermite finite elements
• A pseudospectral method for solution of the three-dimensional incompressible Navier-Stoke equations
• Numerical computation of three-dimensional incompressible viscous flows in the primitive variable form by local multiquadric differential quadrature method
• Finite Element Methods for Navier-Stokes Equations
• Tools for simulating non‐stationary incompressible flow via discretely divergence‐free finite element models
• A 3D incompressible Navier-Stokes velocity-vorticity weak form finite element algorithm
• A Hermite finite element method for incompressible fluid flow
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