Authors: W. Ye, J. Kanapka and J.K. White
Affilation: Massachusetts Institute of Technology, United States
Pages: 518 - 521
Keywords: unsteady Stokes flow, boundary element method, precorrected-FFT, microfluidic devices
In this paper we describe the extensions made to FastStokes, a precorrected-FFT accelerated stady Stokes solver, to solve the unsteady Stokes equation. We demonstrate the accuracy of the numerical approach by comparing computed results to low frequency asymptotic expansions for an oscillating sphere. The computational cost is verified to grow nearly linearly with problem size by examining successive refinements of the sphere. Finally, the frequency dependence of drag on a simplified comb is presented.