Upscaling of Coupled Free-Flow and Porous-Medium-Flow Processes
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The behavior of a coupled free-flow/porous-medium-flow system strongly depends on the pore-scale processes happening at the shared interface. Under certain conditions, drops form at this interface and affect the exchange of mass, momentum, and energy. The mutual influence of droplet-related pore-scale processes and the surrounding’s macro-scale flow behavior poses a challenge for both the conceptual and the numerical model. The aim of this work is to develop a computationally efficient model concept, which takes the processes at both scales into account. We use a lower-dimensional interface domain to embed the drop dynamics into a coupled macro-scale model. In this domain, the droplet-related processes are modeled with separate balance equations. Coupling conditions take the fluxes from and to the macro-scale flow regimes into account. First results of a simple test case show that drop formation, growth, and detachment can be represented with this multi-scale three-domain approach.
We would like to thank the Deutsche Forschungsgemeinschaft (DFG) for the financial support for this work in the frame of the International Research Training Group “Droplet Interaction Technologies” (DROPIT).
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