Multiscale Numerical Simulations of Multiphase Magnetic Fluids

In this work we develop and test a height function based numerical code for the simulation of multiphase magnetic fluids. New height function algorithms for interface normal and curvature (Bornia et al. 2011) are adapted and integrated into our Volume of Fluid Navier-Stokes-Maxwell code for magnetic fluids and charge-free quasi-static magnetic fields. Accuracy and convergence results are presented for highly elongated ellipses and for static non-magnetic fluid droplets, followed by elongated magnetic fluid droplets in a uniform field. Models of enhanced viscosity due to complex thread-like aggregations of magnetic nanoparticles are tested using a multiscale thread shaped chain of magnetic droplets in a shear flow.