FastStokes : a fast 3-D fluid simulation program for micro-electro-mechanical systems

We have developed boundary integral equation formulas and a corresponding fast 3-D Stokes flow simulation program named FastStokes to accurately simulate viscous drag forces on geometrically complicated MEMS (micro- electro- mechanical systems) devices. Unlike the 3-D finite element or finite difference solvers which often take days to run to completion or fail when geometry gets complicated, the FastStokes 3.0 simulation program is capable of simulating complicated devices such as resonators, accelerometers, and micro-mirrors on PC computers in minutes. The FastStokes 3.0 simulation program is a fast 3-D boundary-element simulation program that uses only surface discretizations. The implementation of the Precorrected-FFT algorithm in combination with the GMRES algorithm substantially improves the speed of this simulation program. An efficient two-step approach that successfully handles the null space of the singular incompressible Stokes BEM operators is developed to avoid numerical errors and solution discontinuities. An analytical flat-panel kernel integration algorithm is implemented in FastStokes and an accurate curved-panel integration algorithm is also developed. Both an incompressible FastStokes solver and a compressible FastStokes solver have been developed and tested. They are not only fast, but also accurate. The incompressible FastStokes solver solves the steady incompressible Stokes equation; the effectiveness of this fast solver has been repeatedly proved by the close matches between numerical simulation results and experiments, within engineering accuracy (5-10% error).

Department dc:contributor.department

Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2002

Author dc:creator

• Wang, Xin, 1972 Jan. 8-

Advisor dc:contributor.advisor

• Jacob K. White.

• Electrical Engineering and Computer Science.

Statement dc:rights

• M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/29229

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/29229