Numerical study of soliton-like surface configurations on a magnetic fluid layer in the Rosensweig instability

DOI10.1016/j.cnsns.2006.12.006zbMath1221.76227OpenAlexW2008877517MaRDI QIDQ718711

Olga Lavrova, Gunar Matthies, Tobiska, Lutz

Publication date: 24 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2006.12.006

zbMATH Keywords

finite elementsmagnetic liquidRosensweig instability

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (6)

A simplified phase-field lattice Boltzmann method with a self-corrected magnetic field for the evolution of spike structures in ferrofluids ⋮ Pattern formation on the free surface of a ferrofluid: spatial dynamics and homoclinic bifurcation ⋮ Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields ⋮ The 2-3-4 spike competition in the Rosensweig instability ⋮ Localised radial patterns on the free surface of a ferrofluid ⋮ A diffuse interface model for two-phase ferrofluid flows

Uses Software

• MooNMD

Cites Work

• Unnamed Item
• MooNMD -- a program package based on mapped finite element methods
• Bifurcation detection with the (un)preconditioned GMRES(m)
• The surface topography of a magnetic fluid: a quantitative comparison between experiment and numerical simulation
• Methods for Numerical Modeling of Two-Dimensional Capillary Surfaces
• The interfacial stability of a ferromagnetic fluid

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