Diffuse interface models for transport processes at fluidic interfaces
Third Party Funds Group - Sub project
Start date : 01.06.2013
End date : 31.10.2017
Overall project details
Overall project
SPP 1506: Fluide Grenzflächen
Project details
Scientific Abstract
Scientific Abstract
In recent years, diffuse interface models turned out to be a promising
approach to describe fundamental features of two-phase flow like droplet
break-up or coalescence. In the second funding period, novel
thermodynamical consistent phase-field models for species transport in
two-phase flow shall be derived with an emphasis on soluble surfactants.
Additional phenomena -- ranging from microscale effects like molecule
orientation over thermal effects to electrostatic interactions -- shall
be included as well. On this basis, new sharp-interface models shall
be derived by formal asymptotic analysis.
For selected diffuse-interface models, existence of solutions and
stability of fluidic interfaces will be investigated by rigorous
mathematical analysis. Stable numerical schemes shall be formulated and
implemented in two and three space dimensions. By numerical
simulations, partially guided by the "Leitmassnahme" Taylor-flow, the
models shall be validated and further improved. By numerical analysis,
convergence shall be established for the prototypical problem of
species transport in two-phase flow with general mass densities.