Linear unconditional energy-stable splitting schemes for a phase-field model for nematic-isotropic flows with anchoring effects

摘要

Two-phase flows composed of fluids exhibiting different microscopic structure are an important class of engineering materials. The dynamics of these flows are determined by the coupling among three different length scales: microscopic inside each component, mesoscopic interfacial morphology, and macroscopic hydrodynamics. Moreover, in the case of complex fluids composed by the mixture between isotropic (Newtonian fluid) and nematic (liquid crystal) flows, its interfaces exhibit novel dynamics due to anchoring effects of the liquid crystal molecules on the interface.