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DTSTAMP:20260817T171530Z
LOCATION:Hall B7 (1)\, B Block\, Level 7
DTSTART;TZID=Asia/Tokyo:20241206T110800
DTEND;TZID=Asia/Tokyo:20241206T111900
UID:siggraphasia_SIGGRAPH Asia 2024_sess144_papers_1203@linklings.com
SUMMARY:An Eulerian Vortex Method on Flow Maps
DESCRIPTION:Sinan Wang (Georgia Institute of Technology, University of Hon
 g Kong); Yitong Deng (Stanford University); Molin Deng (Georgia Institute 
 of Technology); Hong-Xing Yu (Stanford University); Junwei Zhou (Purdue Un
 iversity, University of Michigan); Duowen Chen (Georgia Institute of Techn
 ology); Taku Komura (University of Hong Kong); Jiajun Wu (Stanford Univers
 ity); and Bo Zhu (Georgia Institute of Technology)\n\nWe present an Euleri
 an vortex method based on the theory of flow maps to simulate the complex 
 vortical motions of incompressible fluids. Central to our method is the no
 vel incorporation of the flow-map transport equations for line elements, w
 hich, in combination with a bi-directional marching scheme for flow maps, 
 enables the high-fidelity Eulerian advection of vorticity variables. The f
 undamental motivation is that, compared to impulse 𝒎, which has been recen
 tly bridged with flow maps to encouraging results, vorticity 𝝎 promises to
  be preferable for its numerically stability and physical interpretability
 . To realize the full potential of this novel formulation, we develop a ne
 w Poisson solving scheme for vorticity-to-velocity reconstruction that is 
 both efficient and able to accurately handle the coupling near solid bound
 aries. We demonstrate the efficacy of our approach with a range of vortex 
 simulation examples, including leapfrog vortices, vortex collisions, cavit
 y flow, and the formation of complex vortical structures due to solid-flui
 d interactions.\n\nRegistration Category: Full Access, Full Access Support
 er\n\nLanguage Format: English Language\n\nSession Chair: Kui Wu (LIGHTSPE
 ED)\n\n
URL:https://asia.siggraph.org/2024/program/?id=papers_1203&sess=sess144
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