A unified particle system framework for multi-phase, multi-material visual simulations

Tao Yang, Jian Chang, Ming C. Lin, Ralph R. Martin, Jian J. Zhang, Shi-Min Hu
<span title="2017-11-20">2017</span> <i title="Association for Computing Machinery (ACM)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/cqrugwalkvcezgalqorn4fwnuu" style="color: black;">ACM Transactions on Graphics</a> </i> &nbsp;
Fig. 1 . Frying an egg on a hot pan, achieved by enabling the diffusion of phases but disabling the diffusion of concentrations. We introduce a unified particle framework which integrates the phase-field method with multi-material simulation to allow modeling of both liquids and solids, as well as phase transitions between them. A simple elastoplastic model is used to capture the behavior of various kinds of solids, including deformable bodies, granular materials, and cohesive soils. States of
more &raquo; ... atter or phases, particularly liquids and solids, are modeled using the nonconservative Allen-Cahn equation. In contrast, materials-made of different substances-are advected by the conservative Cahn-Hilliard equation. The distributions of phases and materials are represented by a phase variable and a concentration variable, respectively, allowing us to represent commonly observed fluid-solid i nteractions. T he d ynamics o f a m ulti-phase, multimaterial system are governed by a unified Helmholtz free-energy density. This framework provides the first method in computer graphics capable of modeling a continuous interface between phases. It is versatile and can be readily used in many scenarios challenging to simulate. Examples are provided to demonstrate the capabilities and effectiveness of this approach.
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