Modelling approach of a near-far-field model for bubble formation and transport

In this paper, we present a model based on a near-far-field bubble formation. We simulate the formation of a gas-bubble in a liquid, e.g., water and the transportation of such a gas-bubble in the liquid. The modelling approach is based on coupling the near-field model, which is done by the Young-Laplace equation, with the far-field model, which is done with a convection-diffusion equation. We decouple the small and large time- and space scales with respect to each adapted model. Such a decoupling allows to apply the optimal solvers for each near- or far-field model. We discuss the underlying solvers and present the numerical results for the near-far-field bubble formation and transport model.