A diffuse interface model for two-phase ferrofluid flows

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.

Cited by in corpus (7)

• Numerical Approximations for a three components Cahn-Hilliard phase-field Model based on the Invariant Energy Quadratization method
• Efficient Second Order Unconditionally Stable Schemes for a Phase-field Moving Contact Line Model Using Invariant Energy Quadratization Approach
• Phase-field-based lattice Boltzmann modeling of large-density-ratio two-phase flows
• Solving the Discretised Multiphase Flow Equations with Interface Capturing on Structured Grids Using Machine Learning Libraries
• A decoupled, stable, and linear FEM for a phase-field model of variable density two-phase incompressible surface flow
• A convergent SAV scheme for Cahn--Hilliard equations with dynamic boundary conditions
• Some theoretical results on the second-order conservative phase field equation