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

TL;DR

This paper introduces a coupled near-far-field model for simulating bubble formation and transport in liquids, utilizing specialized solvers for different scales to improve simulation accuracy and efficiency.

Contribution

It presents a novel decoupled modeling approach combining Young-Laplace and convection-diffusion equations for bubble dynamics.

Findings

Successful simulation of bubble formation and transport

Effective decoupling of small and large scale models

Enhanced numerical solver performance

Abstract

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.