2025-02-06 ジョージア工科大学
＜関連情報＞
- https://research.gatech.edu/computer-graphics-team-makes-breakthrough-simulating-ink-diffusion
- https://dl.acm.org/doi/10.1145/3687916
フローマップ上の粒子を含んだ流体 Particle-Laden Fluid on Flow Maps
Zhiqi Li, Duowen Chen, Candong Lin, Jinyuan Liu, Bo Zhu
ACM Transactions on Graphics Published: 19 November 2024
DOI:https://doi.org/10.1145/3687916
Abstract
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.
