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arXiv · 1601.06824

A diffuse interface model for two-phase ferrofluid flows

Ricardo H. Nochetto·Abner J. Salgado·Ignacio Tomas
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Abstract

We develop a model describing the behavior of two-phase ferrofluid flows using phase field-techniques and present an energy-stable numerical scheme for it. For a simplified, yet physically realistic, version of this model and the corresponding numerical scheme we prove, in addition to stability, convergence and as by-product existence of solutions. With a series of numerical experiments we illustrate the potential of these simple models and their ability to capture basic phenomenological features of ferrofluids such as the Rosensweig instability.

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Ricardo H. Nochetto, Abner J. Salgado, Ignacio Tomas. 2016-01-25. A diffuse interface model for two-phase ferrofluid flows. https://doi.org/10.1016/j.cma.2016.06.011

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