Fast Multiple-fluid Simulation Using Helmholtz Free Energy

Tao Yang Tsinghua University Jian Chang Bournemouth University Bo Ren Tsinghua University Ming C. Lin University of North Carolina at Chapel Hill Jian Jun Zhang Bournemouth University Shi-Min Hu Tsinghua University

Mathematical Physics mathscidoc:1608.22003

ACM Transactions on Graphics, 34, (6), 201, 2015.12
Multiple-fluid interaction is an interesting and common visual phenomenon we often observe. In this paper we present an energybased Lagrangian method that expands the capability of existing multiple-fluid methods to handle various phenomena, including extraction, partial dissolution, etc. Based on our user-adjusted Helmholtz free energy functions, the simulated fluid evolves from high-energy states to low-energy states, allowing flexible capture of various mixing and unmixing processes. We also extend the original Cahn-Hilliard equation to gain abilities of simulating complex fluid-fluid interaction and rich visual phenomena such as motionrelated mixing and position based pattern. Our approach is easy to be integrated with existing state-of-the-art smooth particle hydrodynamic (SPH) solvers and can be further implemented on top of the position based dynamics (PBD) method, improving the stability and incompressibility of the fluid during Lagrangian simulation under large time steps. Performance analysis shows that our method is at least 4 times faster than the state-of-the-art multiple-fluid method. Examples are provided to demonstrate the new capability and effectiveness of our approach.
Position based dynamics, Helmholtz free energy,Multiple-fluid, Navier-Stokes-Cahn-Hilliard model
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@inproceedings{tao2015fast,
  title={Fast Multiple-fluid Simulation Using Helmholtz Free Energy },
  author={Tao Yang, Jian Chang, Bo Ren, Ming C. Lin, Jian Jun Zhang, and Shi-Min Hu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160818225516006103251},
  booktitle={ACM Transactions on Graphics},
  volume={34},
  number={6},
  pages={201},
  year={2015},
}
Tao Yang, Jian Chang, Bo Ren, Ming C. Lin, Jian Jun Zhang, and Shi-Min Hu. Fast Multiple-fluid Simulation Using Helmholtz Free Energy . 2015. Vol. 34. In ACM Transactions on Graphics. pp.201. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160818225516006103251.
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