On modeling and simulation of surfactants in diffuse interface flow

Details On modeling and simulation of surfactants in diffuse interface flow On modeling and simulation of surfactants in diffuse interface flow

2011-06-30

arxiv.org/abs/1106.6233v2

Mathematics

Numerical Analysis

Scientific paper

An existing phase-field model of two immiscible fluids with a single soluble surfactant present is discussed in detail. We analyze the well-posedness of the model and show that it is mathematically ill-posed for a large set of physically relevant parameters. As a consequence, critical modifications to the model are suggested that substantially increase the domain of validity. Carefully designed numerical simulations offer informative demonstrations as to the sharpness of our theoretical results and the qualities of the physical model. A fully coupled hydrodynamic test-case demonstrates the potential to capture also non-trivial effects on the overall flow.

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