Seminar

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Abstract: In the lecture we will consider the multi-scale modeling and  numerics for compressible two-phase flow. A sharp-interface approach appears to be adequate on a continuum scale where phase boundaries are fully resolved. This results in a concept using the compressible Euler equations in the bulk domains and understanding the phase boundary as a  discontinuous (shock) wave. We propose a numerical algorithm that relies on new exact solutions of special Riemann problems accounting for molecular-scale information to determine the phase dynamics.  

Two-phase flow with topological changes can hardly be accessed by the  sharp-interface ansatz. In the second part of the lecture we will therefore present a class of diffuse-interface models that build on the  classical compressible Navier-Stokes-Korteweg model. We will show that these models can provide the basis for reliable computations of  convection-dominated  processes (e.g. droplet collision). Moreover, this diffuse-interface ansatz is compatible with homogenization techniques. Therefore we will conclude the lecture with a discussion of up-scaling compressible two-phase flow in porous media.

Modelling Compressible Two-Phase Flow Across Scales Using Sharp and Diffuse Interface Ideas