Galerkin spectral method for the vorticity and stream function equations

DOI10.1006/jcph.1998.6155zbMath0934.76065OpenAlexW2088815066MaRDI QIDQ1284540

F. Auteri, Luigi Quartapelle

Publication date: 26 April 1999

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.6155

zbMATH Keywords

elliptic problemsseparation of variablesGlowinski-Pironneau methodsquare domainGalerkin-Legendre spectral methodGibbs' phenomenonnonsingular influence matrixsingular driven cavity problem

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22)

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Cites Work

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• Nature of viscous flows near sharp corners
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• Benchmark spectral results on the lid-driven cavity flow
• Hopf bifurcation of the unsteady regularized driven cavity flow
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• A Chebyshev collocation method for the Navier-Stokes equations with application to double-diffusive convection
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• WEAK APPROXIMATION OF THE ψ–ω EQUATIONS WITH EXPLICIT VISCOUS DIFFUSION
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