A Boundary Integral Method for Computing the Motion of a Bead in a 3-Dimensional Linear Viscoelastic Fluid

Host

Applied Mathematics

Description

Abstract: We develop a boundary integral method for computing the forces on a spherical particle in an unsteady viscoelastic flow. We establish a boundary integral equation (BIE) in the Fourier domain using a correspondence principle between Stokes flow and linear viscoelastic flow. We then present a high order numerical method for evaluating the BIE which is used for computing the forces on a particle that is undergoing a single frequency oscillation. Given the traction on the particle, we can calculate the velocity, which we call the forward problem. We can also find the traction on the particle if we are given the velocity, which we call the backward problem. We present some of the results for the forward problem and discuss the procedure for the backward problem.

Event Topic

Stochastic & Multiscale Modeling and Computation