Abstract |
We consider a flow problem with two different immiscible incompressible newtonian phases (fluid-fluid or fluid-gas). A standard model for this consists of the Navier-Stokes equations with a viscosity and density that are discontinuous across the interface and with a localized force at the interface that describes surface tension effects. This fluid dynamics model can be coupled with a model for mass transport between the phases and a model for transport of surfactants on the interface. There are several issues that are very challenging in view of an efficient and accurate numerical simulation of such models. We briefly address some of these. One numerical aspect, namely the discretization of the surfactant equation on the evolving interface will be treated in more detail. [1]www.igpm.rwth-aachen.de/DROPS [2] S. Gross, A. Reusken, Numerical Methods for Two-phase Incompressible Flows Springer SCM Vol. 40, 2011. |