Diffuse interface models for transport processes at fluidic interfaces

Third Party Funds Group - Sub project

Overall project details

Overall project: SPP 1506: Fluide Grenzflächen

Project Details

Project leader:
Prof. Dr. Günther Grün

Contributing FAU Organisations:
Professur für Angewandte Mathematik (Analysis und Numerik partieller Differentialgleichungen)

Funding source: DFG / Schwerpunktprogramm (SPP)
Start date: 01/04/2010
End date: 30/04/2013

Abstract (technical / expert description):

Topological transitions like droplet coalescence or droplet break-up are fundamental features of two-phase flows. In recent years, diffuse interface models turned out to be a promising approach to describe such phenomena. Species transport across fluidic interfaces and the effects exerted by soluble and insoluble surfactants are additional issues of still increasing technological importance. For those phenomena, novel thermodynamically consistent diffuse interface models shall be developed taking in particular general densities into account. Based on rigorous mathematical analysis, existence and qualitative behaviour of solutions will be investigated, this way enhancing the understanding of the fundamental model properties. Starting from energy and entropy inequalities, stable and convergent numerical schemes shall be formulated and implemented in two and three spatial dimensions. By numerical simulations, the models shall be validated and further improved.

External Partners

Universität Regensburg
Technische Universität Darmstadt
Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen

Last updated on 2019-29-04 at 14:43