Dynamic bifurcations and pattern formation in melting-boundary convection

DOI10.1017/JFM.2011.284zbMath1241.76190OpenAlexW2151023666MaRDI QIDQ2893688

M. R. E. Proctor, Geoffrey M. Vasil

Publication date: 26 June 2012

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

Full work available at URL: https://doi.org/10.1017/jfm.2011.284

zbMATH Keywords

morphological instabilitybuoyancy-driven instabilitysolidification/melting

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Multiphase and multicomponent flows (76T99) Convection in hydrodynamic stability (76E06)

Related Items (5)

Rayleigh–Bénard convection with a melting boundary ⋮ How the growth of ice depends on the fluid dynamics underneath ⋮ Effects of phase boundary and shear on diffusive instability ⋮ Stability on time-dependent domains ⋮ Rayleigh–Bénard instability in the presence of phase boundary and shear

Cites Work

• Exponential time differencing for stiff systems
• Symmetries and pattern selection in Rayleigh-Bénard convection
• A hybrid multiple scale procedure for boundary layers involving several dissimilar scales
• New amplitude equation for Boussinesq convection and nonequilateral hexagonal patterns
• Pattern Formation
• Derivation of the amplitude equation at the Rayleigh–Bènard instability
• On the stability of steady finite amplitude convection
• Pattern formation outside of equilibrium
• Non-stationary finite amplitude convection
• Distant side-walls cause slow amplitude modulation of cellular convection
• Finite bandwidth, finite amplitude convection

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