Particle Merging-and-Splitting.

Area of Science:

• Computational physics
• Numerical simulation
• Particle-based methods

Background:

• Handling particle collisions in large-scale simulations is computationally challenging.
• Existing methods often struggle with interpenetration and numerical instabilities.
• Robust collision detection and resolution are critical for accurate simulations.

Purpose of the Study:

• To introduce a novel particle merging-and-splitting scheme for robust collision handling.
• To prevent interpenetrations and numerical instabilities in particle-based simulations.
• To demonstrate the scheme's applicability in coupling disparate simulation systems.

Main Methods:

• A particle merging-and-splitting technique is proposed.
• Colliding particles are merged at the time-step's beginning and split at its end.
• The method allows neighboring particle interactions during collision resolution.

Main Results:

• The merging-and-splitting method effectively handles collisions, preventing penetrations.
• The scheme ensures numerical stability in particle-based simulations.
• Successful coupling of different simulation systems with incompatible integrators was achieved.

Conclusions:

• Particle merging-and-splitting offers a robust and stable solution for collision handling in particle-based simulations.
• This approach facilitates the integration of diverse simulation frameworks.
• The method shows promise for simulating complex phenomena like solid-fluid interactions and fracture generation.