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N. Truong, C. Yuksel, C. Watcharopas, J. A. Levine and R. M. Kirby, "Particle Merging-and-Splitting," in IEEE Transactions on Visualization and Computer Graphics, doi: 10.1109/TVCG.2021.3093776. Abstract: Robustly handling collisions between individual particles in a large particle-based simulation has been a challenging problem. We introduce particle merging-and-splitting, a simple scheme for robustly handling collisions between particles that prevents inter-penetrations of separate objects without introducing numerical instabilities. This scheme merges colliding particles at the beginning of the time-step and then splits them at the end of the time-step. Thus, collisions last for the duration of a time-step, allowing neighboring particles of the colliding particles to influence each other. We show that our merging-and-splitting method is effective in robustly handling collisions and avoiding penetrations in particle-based simulations. We also show how our merging-and-splitting approach can be used for coupling different simulation systems using different and otherwise incompatible integrators. We present simulation tests involving complex solid-fluid interactions, including solid fractures generated by fluid interactions. Publisher's page: http://dx.doi.org/10.1109/TVCG.2021.3...