A diffuse interface model for two-phase ferrofluid flows

作者：Nochetto Ricardo H; Salgado Abner J^*; Tomas Ignacio

来源：Computer Methods in Applied Mechanics and Engineering, 2016, 309: 497-531.

DOI：10.1016/j.cma.2016.06.011

• Ferrofluids
• Incompressible flows
• Microstructure
• Magnetization
• Two-phase flow

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.

• 出版日期2016-9-1