B2: Numerical models for two-phase flows in electric fields

We are developing simulation tools for the investigation of droplets in electric fields. We thereby support the experimental subproject concerned with the ping-pong droplet configuration. This requires combining a multiphase-flow simulation with an electrokinetic model and additional advection/diffusion equations for dissolved species.

Later in the project, Marangoni forces will be introduced, i.e., a surface-tension that is dependent on the species adsorbed at the liquid-liquid interface. The simulation is based on the so-called extended discontinuous Galerkin method, which allows a very accurate representation of strong gradients in pressure, viscous and Maxwell stresses in the vicinity of the fluid interface. This approach is further used to compute the concentration of adsorbed species at the interface.

In a computational cell that is cut by the fluid interface (left) and contains two fluids A and B, the extended discontinuous Galerkin method introduces shape functions that are conformal with the fluid interface (middle). Thereby, it becomes possible to represent, e.g., the pressure jump in a droplet due to the Laplace pressure with high accuracy (right).
In a computational cell that is cut by the fluid interface (left) and contains two fluids A and B, the extended discontinuous Galerkin method introduces shape functions that are conformal with the fluid interface (middle). Thereby, it becomes possible to represent, e.g., the pressure jump in a droplet due to the Laplace pressure with high accuracy (right).

Team

  Name Contact
Dr.-Ing. Florian Kummer
+49 6151 16-26194
L1|01 324

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