BEGIN:VCALENDAR VERSION:2.0 PRODID:Linklings LLC BEGIN:VTIMEZONE TZID:Asia/Seoul X-LIC-LOCATION:Asia/Seoul BEGIN:STANDARD TZOFFSETFROM:+0900 TZOFFSETTO:+0900 TZNAME:KST DTSTART:18871231T000000 DTSTART:19881009T020000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20230103T035306Z LOCATION:Auditorium\, Level 5\, West Wing DTSTART;TZID=Asia/Seoul:20221206T100000 DTEND;TZID=Asia/Seoul:20221206T120000 UID:siggraphasia_SIGGRAPH Asia 2022_sess153_papers_416@linklings.com SUMMARY:Curl-Flow: Boundary-Respecting Pointwise Incompressible Velocity I nterpolation for Grid-Based Fluids DESCRIPTION:Technical Papers\n\nCurl-Flow: Boundary-Respecting Pointwise I ncompressible Velocity Interpolation for Grid-Based Fluids\n\nChang, Parto no, Azevedo, Batty\n\nWe propose to augment standard grid-based fluid solv ers with pointwise divergence-free velocity interpolation, thereby ensurin g exact incompressibility down to the sub-cell level. Our method takes as input a discretely divergence-free velocity field generated by a staggered grid pressure projection, and first recovers a corresponding discrete vec tor potential. Instead of solving a costly vector Poisson problem for the potential, we develop a fast parallel sweeping strategy to find a candidat e potential and apply a gauge transformation to enforce the Coulomb gauge condition and thereby make it numerically smooth. Interpolating this discr ete potential generates a pointwise vector potential whose analytical curl is a pointwise incompressible velocity field. Our method further supports irregular solid geometry through the use of level set-based cut-cells and a novel Curl-Noise-inspired potential ramping procedure that simultaneous ly offers strictly non-penetrating velocities and incompressibility. Exper imental comparisons demonstrate that our vector potential reconstruction p rocedure is consistently faster than prior methods, especially those that solve vector Poisson problems. Moreover, in exchange for its modest extra cost, our overall Curl-Flow framework produces significantly improved part icle trajectories that closely respect irregular obstacles, do not suffer from spurious sources or sinks, and yield superior particle distributions over time.\n\nRegistration Category: FULL ACCESS, EXPERIENCE PLUS ACCESS, EXPERIENCE ACCESS, TRADE EXHIBITOR\n\nLanguage: ENGLISH\n\nFormat: IN-PERS ON URL:https://sa2022.siggraph.org/en/full-program/?id=papers_416&sess=sess15 3 END:VEVENT END:VCALENDAR