Smoothed particle hydrodynamics for free-surface and multiphase flows: a review

Area of Science:

• Computational Fluid Dynamics
• Numerical Methods
• Fluid Mechanics

Background:

• The smoothed particle hydrodynamics (SPH) method is increasingly applied in engineering.
• Current developments focus on simulating free-surface and multiphase flows, especially with complex interfaces.

Purpose of the Study:

• To review 25 years of SPH method development for simulating free-surface and multiphase flows.
• To investigate theoretical and numerical issues and present various SPH schemes.

Main Methods:

• Review of milestone articles on SPH for fluid flow simulation.
• Analysis of different SPH schemes, their derivations, similarities, and differences.
• Summary of recent corrections for SPH accuracy, stability, and robustness.

Main Results:

• Identified key SPH schemes and their theoretical underpinnings.
• Highlighted similarities and differences in SPH scheme derivations.
• Summarized recent advancements in SPH accuracy and stability for complex flows.

Conclusions:

• The SPH method has evolved significantly for simulating complex fluid dynamics.
• Ongoing research focuses on improving SPH scheme performance and robustness.
• SPH remains a vital tool within the broader Computational Fluid Dynamics landscape.