Pattern formation and dynamics in Rayleigh-Bénard convection: numerical simulations of experimentally realistic geometries

DOI10.1016/S0167-2789(03)00216-1zbMath1098.76537arXivnlin/0210066OpenAlexW1981596216MaRDI QIDQ1407922

H. S. Greenside, M. C. Cross, Mark R. Paul, Paul F. Fischer, Keng-Hwee Chiam

Publication date: 21 September 2003

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0210066

zbMATH Keywords

boundary conditionsBoussinesq equationsspiral defect chaos state

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Convection in hydrodynamic stability (76E06)

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Cites Work

• Convection patterns in large aspect ratio systems
• An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations
• The phase diffusion and mean drift equations for convection at finite Rayleigh numbers in large containers
• Wavenumber selection in large-amplitude axisymmetric convection
• Pattern formation outside of equilibrium
• Finite bandwidth, finite amplitude convection