An efficient method for the solution of the incompressible Navier-Stokes equations in cylindrical geometries

DOI10.1006/jcph.1999.6197zbMath0958.76064OpenAlexW2017501611MaRDI QIDQ1306069

Andrea Vacca, Marcello Manna

Publication date: 27 March 2001

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

Full work available at URL: https://doi.org/10.1006/jcph.1999.6197

zbMATH Keywords

Chebyshev polynomialscylindrical coordinatesdomain decompositioncollocation pointsmulti-domain techniqueaxis singularityformation of Taylor vorticespatching interfacespseudospectral Navier-Stokes solverrotating Couette flowturbulent pipe flows

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) General theory of rotating fluids (76U05)

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Pulsating pipe flow with large-amplitude oscillations in the very high frequency regime. Part 1. Time-averaged analysis ⋮ Torque reduction in Taylor–Couette flows subject to an axial pressure gradient ⋮ Spectral dynamic of pulsating turbulent pipe flow ⋮ Scaling properties of turbulent pipe flow at low Reynolds number ⋮ Pulsating spiral Poiseuille flow ⋮ Direct numerical simulation of the turbulent flow in a pipe with annular cross section.

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