Bifurcation analysis of steady Rayleigh–Bénard convection in a cubical cavity with conducting sidewalls

DOI10.1017/S0022112007000080zbMath1151.76463MaRDI QIDQ3524020

Carles Simó, D. Puigjaner, Joan Herrero, Francesc Giralt

Publication date: 8 September 2008

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Convection in hydrodynamic stability (76E06)

Related Items (9)

Flow states and heat transport in Rayleigh–Bénard convection with different sidewall boundary conditions ⋮ Reduced-order modelling of radiative transfer effects on Rayleigh–Bénard convection in a cubic cell ⋮ Stochastic bifurcation analysis of Rayleigh–Bénard convection ⋮ New nonlinear mechanisms of midlatitude atmospheric low-frequency variability ⋮ From steady solutions to chaotic flows in a Rayleigh-Bénard problem at moderate Rayleigh numbers ⋮ Dynamics of particle trajectories in a Rayleigh-Bénard problem ⋮ Low-order models for predicting radiative transfer effects on Rayleigh–Bénard convection in a cubic cell at different Rayleigh numbers ⋮ Proper orthogonal decomposition analysis and modelling of large-scale flow reorientations in a cubic Rayleigh–Bénard cell ⋮ Rayleigh–Bénard flow for a Carreau fluid in a parallelepiped cavity

Cites Work

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• On a physically-realizable benchmark problem in internal natural convection
• Different modes of Rayleigh-Bénard instability in two- and three-dimensional rectangular enclosures
• Stability analysis of the flow in a cubical cavity heated from below
• Three-dimensional Marangoni–Bénard flows in square and nearly square containers
• Nonlinear transition in three-dimensional convection
• On degenerate Hopf bifurcation with broken O(2) symmetry
• Sidewall finite-conductivity effects in confined turbulent thermal convection
• Recent Developments in Rayleigh-Bénard Convection
• Onset of Three-Dimensional Thermal Convection in a Rectangular Parallelepiped Cavity
• Deflation Techniques for an Implicitly Restarted Arnoldi Iteration
• On the identification of a vortex
• On restarting the Arnoldi method for large nonsymmetric eigenvalue problems
• Convection in a box: linear theory

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