ncts

Complex particulate fluid suspensions appear in chemical, biological, petroleum, and environmental applications. People are interested in different fluids with a suspension of bodies that are being sedimented, transported, or eroded. In this talk, I will introduce several different numerical approaches to describe the phenomena of particle transport, particle erosion in Stokes flows, and the collective behavior in confinement. For particle transport, I will present a Distributed Lagrange Multiplier/Fictitious Domain Method (DLM/FD) to simulate binary encounters of spheres in the bounded shear flow of Newtonian and non-Newtonian fluids. For particle erosion, I will present a boundary integral equation (BIE) formulation to simulate two-dimensional erosion in porous media. For collective behaviors in confinement, I will introduce the model and present the classification of the dynamics of self-propelled particles in a confined domain. This is joint work with Tsorng-Whay Pan, Roland Glowinski, Bryan Quaife, Nick Moore, and Enkeleida Lushi.