2018/09/04 by Geiser, Juergen, Mertin, Paul
#34L30 #35K20 #65M06 #76M20 #F.2.1 #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #G.1.7 #G.1.8 #J.2 #Numerical Analysis (math.NA)
paper · doi:10.48550/arxiv.1809.00899
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.