Dienstag, 22.01.2013 11:00 Uhr
On convergent schemes for diffuse interface models for two-phase flow of incompressible fluids with general mass densities
Prof. Dr. Günther Grün, Universität Erlangen-Nürnberg
In this talk, we will be concerned with modeling and numerics of two-phase flow
of immiscible, incompressible viscous fluids with different mass densities. In
contrast to the case of identical mass densities, for general mass densities it has
only recently been possible to formulate diffuse interface models which are
consistent with thermodynamics and for which numerical schemes satisfying
energy estimates can be developed. These models may be derived e.g. by Onsager's
variational principle and they consist of a momentum equation for the velocity
field coupled to a Cahn-Hilliard equation for the evolution of the order parameter.
In the first part of the talk, we will discuss modeling aspects, and by a subtle
discretization of the convective coupling between the flux of the phase-field and
the momentum equation, we formulate a numerical scheme which is discretely
consistent with thermodynamics. In the second part of the talk, we will prove its
convergence in two and in three space dimensions and we present numerical
simulations showing the full practicality of the approach.
Interessierte sind herzlich eingeladen.
Zeit: 11:00 Uhr
Ort: Raum SG 11, Seminargebäude, Wüllnerstraße 5 b, 52062 Aachen