[02692] Discovering extremal domains via shape optimization for passive tracers
Session Time & Room : 5D (Aug.25, 15:30-17:10) @G602
Type : Contributed Talk
Abstract : Work in passive tracers investigates how properties of a tracer distribution depend on boundary conditions and properties of the underlying fluid flow. We apply shape optimization to discover extremal domains for Poiseuille flow informed by analytic predictions of spatial moments - such as mean, effective diffusivity, skewness - derived in prior work. With this combination of asymptotic formulas and numerical study, we find and report on surprising nonlinear behavior depending on shape parameters.
