De S., Wang X., White J.K.
Massachusetts Institute of Technology, US
Keywords: boundary element method, microfluidic devices, precorrected-FFT, stokes flow
In this paper we present several techniques to improve the efficiency and accuracy of the precorrected FFT accelerated Fast Stokes solver based on a boundary element discretization of the integral form of the incompressible Stokes flow equations. It is shown that a factor-of-three reduction of grid data storage may be achieved by deriving an alternative form of the Stokes kernels using second order derivatives of the distance function. We propose two new techniques of approximating the second derivative operators; using a separate projection operator for each derivative and a finite difference discretization. The implementation using the finite difference discretization is shown to result in an order of magnitude improvement in accuracy compared to the other.
Journal: TechConnect Briefs
Volume: 1, Technical Proceedings of the 2002 International Conference on Modeling and Simulation of Microsystems
Published: April 22, 2002
Pages: 360 - 363
Industry sector: Sensors, MEMS, Electronics
Topic: Modeling & Simulation of Microsystems
ISBN: 0-9708275-7-1