Marangoni-Bénard convection with a deformable free surface

DOI10.1006/jcph.1998.5995zbMath0924.76101OpenAlexW2042767410MaRDI QIDQ1268312

Simon J. Tavener, K. Andrew Cliffe

Publication date: 18 October 1998

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.5995

zbMATH Keywords

Boussinesq approximationNewton iterationequilibrium equationstwo-dimensional domaintranscritical bifurcationsorthogonal mappingmapping equationspair of elliptic partial differential equationspitchfork bifurcation point

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Finite element methods applied to problems in fluid mechanics (76M10) Capillarity (surface tension) for incompressible viscous fluids (76D45) Forced convection (76R05)

Related Items

The free surface effect on a chemotaxis-diffusion-convection coupling system ⋮ Parallel adaptive solution of coupled Rayleigh-Bénard-Marangoni problems with the Navier-slip ⋮ An adaptive phase field method for the mixture of two incompressible fluids ⋮ Two-fluid Marangoni-Bénard convection with a deformable interface. ⋮ A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method

Uses Software

• REDUCE

Cites Work

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