Doctoral Speaking Skills Talk - Bailey Miller May 1, 2025 12:00pm — 1:00pm Location: In Person - McWilliams Classroom, Gates Hillman 4303 Speaker: BAILEY MILLER , Ph.D. Student, Computer Science Department, Carnegie Mellon University https://www.bailey-miller.com/ Monte Carlo PDE Simulation in Participating Media Throughout science and engineering, Monte Carlo methods like walk on spheres simulate physical phenomena like thermal conduction on complex, large-scale geometric models. Despite their versatility, these methods cannot easily handle domains involving participating media that consists of massive quantities of microparticle geometry—such as water droplets in clouds or ions in solution around biological membranes. In this talk, we explore how to generalize Monte Carlo PDE simulation to participating media by considering stochastic models of microparticle geometry, which define particles only through aggregate statistical properties (e.g., particle density). Our approach to volumetric simulation provides an unbiased and output sensitive means of solving PDEs in participating media. We demonstrate how volumetric simulation relates to classic volume rendering algorithms and how our algorithm can be leveraged for problems like computing electrostatic potential around biological membranes or analyzing atmospheric photochemical systems. Presented in Partial Fulfillment of the CSD Speaking Skills Requirement Add event to Google Add event to iCal
