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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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
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Language:English
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Computing methodologies
Modeling and simulation
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description 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.
doi_str_mv 10.1145/3450626.3459866
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source Association for Computing Machinery:Jisc Collections:ACM OPEN Journals 2023-2025 (reading list)
subjects Computing methodologies
Modeling and simulation
title Clebsch gauge fluid
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