A Fast Solver for Stokes Boundary Integral Equations on Axisymmetric Surfaces

Abstract

We show that Stokes’ boundary integral equations defined on an axisymmetric surface can be decomposed into a series of boundary integral equations defined on a two dimensional curve. Using this decomposition, we develop a high order quadrature scheme that can be used to solve the Stokes’ equation. Further, using this scheme to evaluate integrals in the near-field and fast multipole method (FMM) to evaluate the far-field, we describe an implementation to simulate Stokes’ flow past a large number of axisymmetric bodies. Finally, we propose a scheme for simulating periodic flows in infinite, axisymmetric channels.

Date
Apr 27, 2019 4:10 PM — 4:30 PM
Location
University of Michigan, East Hall
530 Church St, Ann Arbor, MI 48109
Avatar
Saibal De
Graduate Student

Graduate Student Research Assistant (GSRA), University of Michigan.