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DTSTAMP:20250110T023313Z
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:Technical Papers\n\nSinan Wang (Georgia Institute of Technolog
 y, University of Hong Kong); Yitong Deng (Stanford University); Molin Deng
  (Georgia Institute of Technology); Hong-Xing Yu (Stanford University); Ju
 nwei Zhou (Purdue University, University of Michigan); Duowen Chen (Georgi
 a Institute of Technology); Taku Komura (University of Hong Kong); Jiajun 
 Wu (Stanford University); and Bo Zhu (Georgia Institute of Technology)\n\n
 We present an Eulerian vortex method based on the theory of flow maps to s
 imulate the complex vortical motions of incompressible fluids. Central to 
 our method is the novel incorporation of the flow-map transport equations 
 for line elements, which, in combination with a bi-directional marching sc
 heme for flow maps, enables the high-fidelity Eulerian advection of vortic
 ity variables. The fundamental motivation is that, compared to impulse 𝒎, 
 which has been recently bridged with flow maps to encouraging results, vor
 ticity 𝝎 promises to be preferable for its numerically stability and physi
 cal interpretability. To realize the full potential of this novel formulat
 ion, we develop a new Poisson solving scheme for vorticity-to-velocity rec
 onstruction that is both efficient and able to accurately handle the coupl
 ing near solid boundaries. We demonstrate the efficacy of our approach wit
 h a range of vortex simulation examples, including leapfrog vortices, vort
 ex collisions, cavity flow, and the formation of complex vortical structur
 es due to solid-fluid interactions.\n\nRegistration Category: Full Access,
  Full Access Supporter\n\nLanguage Format: English Language\n\nSession Cha
 ir: Kui Wu (LightSpeed Studios)
URL:https://asia.siggraph.org/2024/program/?id=papers_1203&sess=sess144
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