Optimization of an augmented Prosperetti-Lezzi bubble model

Area of Science:

• Fluid dynamics
• Acoustics
• Bubble dynamics

Background:

• The Prosperetti and Lezzi model is a key tool for predicting spherical bubble collapse.
• Existing models have limitations in accurately predicting violent collapse and rebound phenomena.
• Perturbation analysis of interior Euler equations provides a basis for refinement.

Purpose of the Study:

• To introduce three enhancements to the matched-asymptotic-expansion model for predicting violent bubble collapse and rebound.
• To improve the accuracy and applicability of single-degree-of-freedom bubble models.
• To validate model enhancements against finite-difference simulations.

Main Methods:

• Incorporating spatial pressure variation within the bubble using perturbation analysis.
• Augmenting the model with a term for bubble gas kinetic energy.
• Determining an optimal value for a model parameter by comparing predictions with finite-difference simulations.

Main Results:

• The three enhancements significantly extend the applicability of the bubble model.
• The refined model shows improved accuracy in predicting peak pressures during bubble collapse.
• The study validates the enhanced model against detailed numerical simulations.

Conclusions:

• The enhanced bubble collapse model offers a more robust and accurate prediction tool.
• Spatial pressure variation and kinetic energy terms are crucial for accurate modeling.
• The optimized model provides a valuable advancement for fluid dynamics research.