Simulation of gas bubble dynamics using a phase-field model

Resumo

The modeling and simulation of gas bubble dynamics is still an active research area, mainly when
surface tension is present. One way to model the gas and fluid phases is with interface capturing methods. Three
well-established interface capturing models are the Volume-of-Fluid (VOF), level-set, and phase-field models. The
main advantage of the VOF method is mass conservation, while the implementation of the surface tension may
be challenging. The level-set is known for its ability to compute the surface tension accurately, and phase-field
models are known for satisfying the second law of thermodynamics. This work uses a conservative Allen-Cahn
equation to model and simulates the effects of the surface tension in gas bubble dynamics. We include concepts of
the level-set and VOF methods and verify the energetic stability of the methodology. We also compare the results
with the convected level-set method. Results are analyzed and discussed.