A weakly Compressible, Diffuse-Interface Model for Two-Phase Flows

On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids

We introduce a diffuse interface model describing the evolution of a mixture of two different viscous incompressible fluids of equal density. The main novelty of the present contribution consists in the fact that the effects of temperature on the flow are taken into account. In the mathematical model, the evolution of the velocity u is ruled by the Navier-Stokes system with temperaturedependent...

Diffuse interface model for incompressible two-phase flows with large density ratios

We investigate the applicability of an incompressible diffuse interface model for two-phase incompressible fluid flows with large viscosity and density contrasts. Diffuse-interface models have been used previously primarily for density-matched fluids, and it remains unclear to what extent such models can be used for fluids of different density, thereby potentially limiting the application of th...

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

Phase Change Simulation for Isothermal Compressible Two-Phase Flows