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

In this project, we want to study the interactions of two particles moving in a three-dimensional linear viscoelastic fluid. Previously, this was done for a two-dimensional axisymmetric case; however, the motions of the particles were limited to the axis of symmetry. Using a correspondence principle between unsteady stokes flow and linear viscoelasticity, we establish a boundary integral formulation. To evaluate the single-layer integral, we use a series of rotations and variable transformations. Using a known analytical solution, we compare our numerical results for a single bead. Our numerical scheme for the evaluation of the integral is sixth-order accurate.

Event Topic

Stochastic & Multiscale Modeling and Computation