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:20230103T035311Z LOCATION:Room 325-AB\, Level 3\, West Wing DTSTART;TZID=Asia/Seoul:20221208T153000 DTEND;TZID=Asia/Seoul:20221208T170000 UID:siggraphasia_SIGGRAPH Asia 2022_sess170_papers_216@linklings.com SUMMARY:A Monte Carlo Method for Fluid Simulation DESCRIPTION:Technical Papers\n\nA Monte Carlo Method for Fluid Simulation\ n\nRioux-Lavoie, Sugimoto, Özdemir, Shimada, Batty...\n\nWe present a nove l Monte Carlo-based fluid simulation approach capable of pointwise and sto chastic estimation of fluid motion. Drawing on the Feynman-Kac representat ion of the vorticity transport equation, we propose a recursive Monte Carl o estimator of the Biot-Savart law and extend it with a stream function fo rmulation that allows us to treat free-slip boundary conditions using a Wa lk-on-Spheres algorithm. Inspired by the Monte Carlo literature in renderi ng, we design and compare variance reduction schemes suited to a fluid sim ulation context for the first time, show its applicability to complex boun dary settings, and detail a simple and practical implementation with tempo ral grid caching. We validate the correctness of our approach via quantita tive and qualitative evaluations -- across a range of settings and domain geometries -- and thoroughly explore its parameters' design space. Finally , we provide an in-depth discussion of several axes of future work buildin g on this new numerical simulation modality.\n\nRegistration Category: FUL L ACCESS, ON-DEMAND ACCESS\n\nLanguage: ENGLISH\n\nFormat: IN-PERSON, ON-D EMAND URL:https://sa2022.siggraph.org/en/full-program/?id=papers_216&sess=sess17 0 END:VEVENT END:VCALENDAR