Convergence properties of the finite-element method for Bénard convection in an infinite layer

DOI10.1016/0021-9991(85)90012-9zbMath0573.76082OpenAlexW2076575998MaRDI QIDQ1062866

K. H. Winters, K. Andrew Cliffe

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9991(85)90012-9

zbMATH Keywords

critical Rayleigh numberBénard convectioncell sizeconvergence of the finite-element approximationinfinite, horizontal layerlocation of higher-order singularitytwo symmetry-breaking bifurcation points

Mathematics Subject Classification ID

Free convection (76R10)

Related Items

Design and evaluation of homotopies for efficient and robust continuation ⋮ Efficient numerical differentiation of implicitly-defined curves for sparse systems ⋮ Shift-invert and Cayley transforms for detection of rightmost eigenvalues of nonsymmetric matrices ⋮ Eigenvalues of the discretized Navier-Stokes equation with application to the detection of Hopf bifurcations ⋮ Bifurcation and stability: a computational approach ⋮ A bifurcation study of laminar flow in a curved tube of rectangular cross-section

Cites Work

• Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points
• Numerical methods for bifurcation problems. Proceedings of the Conference at the University of Dortmund, August 22-26, 1983
• USE OF THE FINITE-ELEMENT METHOD FOR NATURAL CONVECTION IN A HORIZONTALLY CONFINED INFINITE LAYER OF FLUID