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A Clebsch Method for Free-Surface Vortical Flow Simulation

delete2022-07-22
delete20
PRE
AI
S
Shiying Xiong *
Z
Zhecheng Wang
M
Mengdi Wang
B
Bo Zhu
DOI:10.1145/3528223.3530150delete
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Abstract

Abstract

En 中文
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.
Keywords:
Free-Surface Fluid
Level Set
Clebsch Representation
Bubble Ring
Horseshoe Vortex

Journal

ACM Transactions on Graphics cover
ACM Transactions on Graphics
IF:
9.5
Papers:
4.7K
Citations:
3.6W

Organization

D
Dartmouth College
Scholars:
1.5W
Papers: 1.4W
Citations: 1.8W