A conservative diffuse-interface method for compressible two-phase flows

A diffuse-interface method for simulating two-phase flows of complex fluids

Two-phase systems of microstructured complex fluids are an important class of engineering materials. Their flow behaviour is interesting because of the coupling among three disparate length scales: molecular or supra-molecular conformation inside each component, mesoscopic interfacial morphology and macroscopic hydrodynamics. In this paper, we propose a diffuse-interface approach to simulating ...

A sharp interface method for incompressible two-phase flows

We present a sharp interface method for computing incompressible immiscible two-phase flows. It couples the Level-Set and Volume-of-Fluid techniques and retains their advantages while overcoming their weaknesses. It is stable and robust even for large density and viscosity ratios on the order of 1000 to 1. The numerical method is an extension of the second-order method presented by Sussman (200...

A sharp interface immersed boundary method for compressible viscous flows

An immersed boundary method for computing viscous, subsonic compressible flows with complex shaped stationary immersed boundaries is presented. The method employs a ghost-cell technique for imposing the boundary conditions on the immersed boundaries. The current approach leads to a sharp representation of the immersed boundaries, a property that is especially useful for flow simulations at high...

On sharp interface limits for diffuse interface models for two-phase flows

We discuss the sharp interface limit of a diffuse interface model for a two-phase flow of two partly miscible viscous Newtonian fluids of different densities, when a certain parameter " > 0 related to the interface thickness tends to zero. In the case that the mobility stays positive or tends to zero slower than linearly in "we will prove that weak solutions tend to varifold solutions of a corr...

A Two -Step Modification toward Implementing Compressible Source Terms in Low Compressible Flows