Diffuse-Interface Capturing Methods for Compressible Two-Phase Flows

Compressible Two-Phase Flows: Two-Pressure Models and Numerical Methods

A conservative hyperbolic model for compressible two-phase two-fluid model is studied and numerical methods for its approximate solution are proposed. The derivation of the governing equations of the model is based on the principles of extended thermodynamics. The field equations form a hyperbolic system of balance equations in conservative form, which guarantees the well-posedness of the initi...

An interface capturing method for the simulation of multi-phase compressible flows

A novel finite-volume interface (contact) capturing method is presented for simulation of multi-component compressible flows with high density ratios and strong shocks. In addition, the materials on the two sides of interfaces can have significantly different equations of state. Material boundaries are identified through an interface function, which is solved in concert with the governing equat...

The direct numerical simulation of two - phase flows with interface capturing methods

The direct numerical simulation of two-phase flows with interface capturing methods La simulation numérique directe des écoulements diphasiques avec les méthodes de capture d'interface écoulements macroscopiques dans lesquels les échelles de longueur et les vitesses sont grands.

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...

Phase Change Simulation for Isothermal Compressible Two-Phase Flows