A Galerkin implementation of the generalized Helmholtz decomposition for vorticity formulations

DOI10.1006/jcph.2001.6724zbMath1037.76035OpenAlexW2055594600MaRDI QIDQ5935512

Steven N. Kempka, Marc S. Ingber

Publication date: 2001

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

Full work available at URL: https://semanticscholar.org/paper/a7e0fb9e9be532fef795788ee268e7080885566d

zbMATH Keywords

Navier-Stokes equationsboundary conditionsGalerkin finite element methodboundary vortex sheet strengthsdriven cavity problem

Mathematics Subject Classification ID

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

Related Items (6)

MC-Smooth: A mass-conserving, smooth vorticity–velocity formulation for multi-dimensional flows ⋮ Constructive spectral approaches for the Helmholtz decomposition of a vector field ⋮ Solution to transient Navier-Stokes equations by the coupling of differential quadrature time integration scheme with dual reciprocity boundary element method ⋮ Solution of three-dimensional viscous flows using integral velocity-vorticity formulation ⋮ A vorticity method for the solution of natural convection flows in enclosures ⋮ An implicit compact scheme solver for two-dimensional multicomponent flows

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