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Project Lutz Tobiska

ALE-Finite Element Based Discretizations for 3D Simulations of Two-Phase Flows with Surfactants

The aim of the project is the development, analysis and implementation of arbitrary Lagrangian-Eulerian finite element methods for the robust and accurate 3D simulation of two-phase flows with insoluble and soluble surfactants. The model consists of the incompressible Navier-Stokes equation for velocity and pressure.

Flow field induced by nonuniform surfactant concentration on a spherical droplet the transport equations for the concentration of the surfactants in the bulk phases, and the transport equation for the concentration on the evolving interface. The main objective is a better understanding of the mutual interplay of the different phenomena of such complex flows. A nonuniform concentration of the surfactants on the interface influences the surface tension and generates Marangoni forces. As a consequence the interface deforms where the surfactants concentration changes due to stretching or shrinking of the free surface and additionally due to convection induced by the flow field.