Quadrature Methods via Line Interpolation and Approximation Functions for Particles in Microscale Flow

Pritpal Matharu, KTH

April 8, 2023 at 11:30am-12:30pm (Zoom: 972 8792 6728)

For axisymmetric particles in microscale flows, boundary integral methods can be utilized for numerical evaluation of flow velocity on and outside particle surfaces. Precomputation yields a highly efficient and accurate quadrature by expansion (QBX) method for singular integrals when evaluating on-surface. For evaluation close to the particle surface (nearly singular integrals), a line interpolation method aided by quadrature error estimates is introduced, within a framework that can be utilized for general kernels and in fast methods. I will also discuss approximation functions used for line interpolation, and various things to consider when dealing with such problems.