Nano Science and Technology Institute
MSM 99
MSM 99
Technical Proceedings of the 1999 International Conference on Modeling and Simulation of Microsystems
Chapter 15: Computational Methods for Microfluidics

A Fast 3D Solver for Unsteady Stokes Flow with Applications to Micro-Electro-Mechanical Systems

Authors:W. Ye, J. Kanapka and J.K. White
Affilation:Massachusetts Institute of Technology, US
Pages:518 - 521
Keywords:unsteady Stokes flow, boundary element method, precorrected-FFT, microfluidic devices
Abstract: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.
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