A diffuse interface model for two-phase ferrofluid flows
Numerical Analysis
2016-08-24 v1
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.
Keywords
Cite
@article{arxiv.1601.06824,
title = {A diffuse interface model for two-phase ferrofluid flows},
author = {Ricardo H. Nochetto and Abner J. Salgado and Ignacio Tomas},
journal= {arXiv preprint arXiv:1601.06824},
year = {2016}
}