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IRTG Modern Inverse Problems (MIP)
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SSD Seminar Series with Prof. Christian Rohde

Januar 20 @ 16:00 - 17:00

Prof. Christian Rohde – Compressible Two-Phase Flow across Scale using Sharp and Diffuse Interface Ideas

Chair of Applied Mathematics, University of Stuttgart

Abstract

In the lecture, we will consider some aspects of the modeling and numerics for compressible liquid-vapour flow with phase transition. We first review a hierarchy of thermodynamically consistent sharp- and diffuse-interface models. On the chosen spatial scale, phase boundaries are fully resolved such that the sharp-interface ansatz leads to a free boundary value problem for the compressible Euler equations in the bulk domains. For  the diffuse-interface ansatz we employ variants of the classical Navier-Stokes-Korteweg model that allow  for computing two-phase regimes without special tracking methods.

In the second part of the presentation we will then derive up-scaled models for compressible flow on the  Darcy scale. Whereas the derivation remains formal for the sharp-interface ansatz we can present rigorous homogenization results for some of the diffuse-interface models leading to generalized versions of the Cahn-Hilliard equation.

Details

Datum:
Januar 20
Zeit:
16:00 - 17:00

Veranstaltungsort

a link for the Zoom meeting room will be send in the newsletter one week before the seminar starts. If you need any organizational help please contact office@aices.rwth-aachen.de

Veranstalter

IRTG-2379 MIP