Clebsch gauge fluid

We propose a novel gauge fluid solver based on Clebsch wave functions to solve incompressible fluid equations. Our method combines the expressive power of Clebsch wave functions to represent coherent vortical structures and the generality of gauge methods to accommodate a broad array of fluid phenom...

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Bibliographic Details
Published in:ACM transactions on graphics 2021-08, Vol.40 (4), p.1-11, Article 99
Main Authors: Yang, Shuqi, Xiong, Shiying, Zhang, Yaorui, Feng, Fan, Liu, Jinyuan, Zhu, Bo
Format: Article
Language:English
Subjects:
Computing methodologies
Modeling and simulation
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Summary:We propose a novel gauge fluid solver based on Clebsch wave functions to solve incompressible fluid equations. Our method combines the expressive power of Clebsch wave functions to represent coherent vortical structures and the generality of gauge methods to accommodate a broad array of fluid phenomena. By evolving a transformed wave function as the system's gauge variable enhanced by an additional projection step to enforce pressure jumps on the free boundaries, our method can significantly improve the vorticity generation and preservation ability for a broad range of gaseous and liquid phenomena. Our approach can be easily implemented by modifying a standard grid-based fluid simulator. It can be used to solve various fluid dynamics, including complex vortex filament dynamics, fluids with different obstacles, and surface-tension flow.
ISSN:0730-0301
1557-7368
DOI:10.1145/3450626.3459866