Spectral element methods for axisymmetric Stokes problems

DOI10.1006/jcph.2000.6574zbMath0984.76065OpenAlexW2086365706MaRDI QIDQ1592240

M. I. Gerritsma, Timothy N. Phillips

Publication date: 7 May 2002

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

Full work available at URL: https://doi.org/10.1006/jcph.2000.6574

zbMATH Keywords

spectral element methodorthogonal polynomialsweak formulationdomain decompositionJacobi polynomialsStokes problemdegeneracyaxisymmetric problemweighting functionvolume element

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Stokes and related (Oseen, etc.) flows (76D07)

Related Items (6)

The choice of spectral element basis functions in domains with an axis of symmetry ⋮ Formulation of a Galerkin spectral element--Fourier method for three-dimensional incompressible flows in cylindrical geometries ⋮ A Fourier-Legendre spectral element method in polar coordinates ⋮ Three-dimensional spectral element simulations of variable density and viscosity miscible displacements in a capillary tube. ⋮ Mass and momentum transport from a sphere in steady and oscillatory flows ⋮ \(hp\)-adaptive least squares spectral element method for hyperbolic partial differential equations

Cites Work

• Finite element analysis of steady viscoelastic flow around a sphere in a tube: Calculations with constant viscosity models
• Preconditioned Chebyshev collocation for non-Newtonian fluid flows
• Construction of curvilinear co-ordinate systems and applications to mesh generation
• Compatible Spectral Approximations for the Velocity-Pressure-Stress Formulation of the Stokes Problem
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