Particle-Laden Fluid on Flow Maps
<|reference_start|>Particle-Laden Fluid on Flow Maps: We propose a novel framework for simulating ink as a particle-laden flow using particle flow maps. Our method addresses the limitations of existing flow-map techniques, which struggle with dissipative forces like viscosity and drag, thereby extending the application scope from solving the Euler equations to solving the Navier-Stokes equations with accurate viscosity and laden-particle treatment. Our key contribution lies in a coupling mechanism for two particle systems, coupling physical sediment particles and virtual flow-map particles on a background grid by solving a Poisson system. We implemented a novel path integral formula to incorporate viscosity and drag forces into the particle flow map process. Our approach enables state-of-the-art simulation of various particle-laden flow phenomena, exemplified by the bulging and breakup of suspension drop tails, torus formation, torus disintegration, and the coalescence of sedimenting drops. In particular, our method delivered high-fidelity ink diffusion simulations by accurately capturing vortex bulbs, viscous tails, fractal branching, and hierarchical structures.<|reference_end|>
@article{li2024particle-laden,
    title={Particle-Laden Fluid on Flow Maps},
    author={Zhiqi Li, Duowen Chen, Candong Lin, Jinyuan Liu, Bo Zhu},
    journal={arXiv preprint arXiv:2409.06246},
    year={2024},
    doi={10.1145/3687916},
    archivePrefix={arXiv},
    eprint={2409.06246},
    primaryClass={cs.GR physics.flu-dyn}
}