A Clebsch method for free-surface vortical flow simulation

Shiying Xiong, Zhecheng Wang, Mengdi Wang, and Bo Zhu
ACM Trans. Graph., Vol. 41, No. 4, Article 116. Publication date: July 2022.[PDF]
We propose a novel Clebsch method to simulate the free-surface vortical flow. At the center of our approach lies a level-set method enhanced by a wave-function correction scheme and a wave-function extrapolation algorithm to tackle the Clebsch method's numerical instabilities near a dynamic interface. By combining the Clebsch wave function's expressiveness in representing vortical structures and the level-set function's ability on tracking interfacial dynamics, we can model complex vortex-interface interaction problems that exhibit rich free-surface flow details on a Cartesian grid. We showcase the efficacy of our approach by simulating a wide range of new free-surface flow phenomena that were impractical for previous methods, including horseshoe vortex, sink vortex, bubble rings, and free-surface wake vortices.
We thank all the anonymous reviewers for their constructive feedback. We acknowledge NSF-1919647, 2106733, and 2144806 for funding support. We credit the Houdini education license for producing the video animations.
Citation [BIB]
       title={{A Clebsch method for free-surface vortical flow simulation}},
       author={S. Xiong and Z. Wang and M. Wang and B. Zhu},
       journal={ACM Trans. Graph.},