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An Implicitly Stable Mixture Model for Dynamic Multi-fluid Simulations

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Xiaojuan BanAuthors Info & Claims

SA '23: SIGGRAPH Asia 2023 Conference Papers

Article No.: 6, Pages 1 - 11

https://doi.org/10.1145/3610548.3618215

Published: 11 December 2023 Publication History

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Abstract

Particle-based simulations have become increasingly popular in real-time applications due to their efficiency and adaptability, especially for generating highly dynamic fluid effects. However, the swift and stable simulation of interactions among distinct fluids continues to pose challenges for current mixture model techniques. When using a single-mixture flow field to represent all fluid phases, numerical discontinuities in phase fields can result in significant losses of dynamic effects and unstable conservation of mass and momentum. To tackle these issues, we present an advanced implicit mixture model for smoothed particle hydrodynamics. Instead of relying on an explicit mixture field for all dynamic computations and phase transfers between particles, our approach calculates phase momentum sources from the mixture model to derive explicit and continuous velocity phase fields. We then implicitly obtain the mixture field using a phase-mixture momentum-mapping mechanism that ensures conservation of incompressibility, mass, and momentum. In addition, we propose a mixture viscosity model and establish viscous effects between the mixture and individual fluid phases to avoid instability under extreme inertia conditions. Through a series of experiments, we show that, compared to existing mixture models, our method effectively improves dynamic effects while reducing critical instability factors. This makes our approach especially well-suited for long-duration, efficiency-oriented virtual reality scenarios.

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Description from author: TiSPH_multiphase, presented as a part of our SIGGRAPH Asia paper "An Implicitly Stable Mixture Model for Dynamic Multi-fluid Simulations," is a robust open-source tool that encapsulates our novel implicit multiphase solver. Developed with the Taichi programming language, this software is designed for broad compatibility, running efficiently on both Linux and Windows platforms, regardless of the presence of a graphics card. Our extensive testing, conducted on Ubuntu 20.04 and Windows 10/11, assures users of the software's reliability and performance across these operating systems. While TiSPH_multiphase is engineered for functionality in various environments, leveraging an operating system with a Graphical User Interface (GUI) is recommended to maximize the user experience, particularly when engaging with the software's demos. To explore the capabilities of TiSPH_multiphase and witness its application in dynamic multi-fluid simulations, users can run the demos through the command 'python scene_{xxx}.py'. This hands-on approach provides valuable insights into the solver's practical utility and effectiveness. (The Representative image can be replicated using scene_2D_multiphhase_collide_no_GUI.py). For detailed instructions on installation, usage, and more, please consult the README.md file in our GitHub repository at https://github.com/sakamotoyan/TiSPH_multiphase. This comprehensive guide is essential for users seeking to fully harness the potential of TiSPH_multiphase in their multi-fluid simulation projects.

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References

[1]

Nadir Akinci, Markus Ihmsen, Gizem Akinci, Barbara Solenthaler, and Matthias Teschner. 2012. Versatile Rigid-Fluid Coupling for Incompressible SPH. ACM Trans. Graph. 31, 4, Article 62 (jul 2012), 8 pages.

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