Algorithms in faststokes and its application to micromachined device simulation

Xin Wang, Joe Kanapka, Wenjing Ye, Narayan Aluru, Jacob White

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

For a wide variety of micromachined devices, designers need accurate analysis of fluid drag forces for complicated three-dimensional problems. In this paper we describe FastStokes, a recently developed three-dimensional fluid analysis program. FastStokes rapidly computes drag forces on complicated structures by solving an integral formulation of the Stokes equation using a precorrected-FFT accelerated boundary-element method. The specializations of the precorrected-FFT algorithm to the Stokes flow problem are described, and computational results are presented. Timing results are used to demonstrate that FastStokes scales almost linearly with problem complexity, can easily analyze structures as complicated as an entire comb drive in under an hour, and can produce results that accurately match measured data.

Original languageEnglish (US)
Title of host publicationDesign Automation Methods and Tools for Microfluidics-Based Biochips
PublisherSpringer Netherlands
Pages85-107
Number of pages23
ISBN (Print)1402051220, 9781402051227
DOIs
StatePublished - Dec 1 2006

Fingerprint

Fast Fourier transforms
Drag
Fluids
Boundary element method

Keywords

  • BEM
  • FastStokes
  • fluid
  • MEMS
  • simulation
  • Stokes flow

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Wang, X., Kanapka, J., Ye, W., Aluru, N., & White, J. (2006). Algorithms in faststokes and its application to micromachined device simulation. In Design Automation Methods and Tools for Microfluidics-Based Biochips (pp. 85-107). Springer Netherlands. https://doi.org/10.1007/1-4020-5123-9_4

Algorithms in faststokes and its application to micromachined device simulation. / Wang, Xin; Kanapka, Joe; Ye, Wenjing; Aluru, Narayan; White, Jacob.

Design Automation Methods and Tools for Microfluidics-Based Biochips. Springer Netherlands, 2006. p. 85-107.

Research output: Chapter in Book/Report/Conference proceedingChapter

Wang, X, Kanapka, J, Ye, W, Aluru, N & White, J 2006, Algorithms in faststokes and its application to micromachined device simulation. in Design Automation Methods and Tools for Microfluidics-Based Biochips. Springer Netherlands, pp. 85-107. https://doi.org/10.1007/1-4020-5123-9_4
Wang X, Kanapka J, Ye W, Aluru N, White J. Algorithms in faststokes and its application to micromachined device simulation. In Design Automation Methods and Tools for Microfluidics-Based Biochips. Springer Netherlands. 2006. p. 85-107 https://doi.org/10.1007/1-4020-5123-9_4
Wang, Xin ; Kanapka, Joe ; Ye, Wenjing ; Aluru, Narayan ; White, Jacob. / Algorithms in faststokes and its application to micromachined device simulation. Design Automation Methods and Tools for Microfluidics-Based Biochips. Springer Netherlands, 2006. pp. 85-107
@inbook{b8df9401fc7d4266abca8c862960b945,
title = "Algorithms in faststokes and its application to micromachined device simulation",
abstract = "For a wide variety of micromachined devices, designers need accurate analysis of fluid drag forces for complicated three-dimensional problems. In this paper we describe FastStokes, a recently developed three-dimensional fluid analysis program. FastStokes rapidly computes drag forces on complicated structures by solving an integral formulation of the Stokes equation using a precorrected-FFT accelerated boundary-element method. The specializations of the precorrected-FFT algorithm to the Stokes flow problem are described, and computational results are presented. Timing results are used to demonstrate that FastStokes scales almost linearly with problem complexity, can easily analyze structures as complicated as an entire comb drive in under an hour, and can produce results that accurately match measured data.",
keywords = "BEM, FastStokes, fluid, MEMS, simulation, Stokes flow",
author = "Xin Wang and Joe Kanapka and Wenjing Ye and Narayan Aluru and Jacob White",
year = "2006",
month = "12",
day = "1",
doi = "10.1007/1-4020-5123-9_4",
language = "English (US)",
isbn = "1402051220",
pages = "85--107",
booktitle = "Design Automation Methods and Tools for Microfluidics-Based Biochips",
publisher = "Springer Netherlands",

}

TY - CHAP

T1 - Algorithms in faststokes and its application to micromachined device simulation

AU - Wang, Xin

AU - Kanapka, Joe

AU - Ye, Wenjing

AU - Aluru, Narayan

AU - White, Jacob

PY - 2006/12/1

Y1 - 2006/12/1

N2 - For a wide variety of micromachined devices, designers need accurate analysis of fluid drag forces for complicated three-dimensional problems. In this paper we describe FastStokes, a recently developed three-dimensional fluid analysis program. FastStokes rapidly computes drag forces on complicated structures by solving an integral formulation of the Stokes equation using a precorrected-FFT accelerated boundary-element method. The specializations of the precorrected-FFT algorithm to the Stokes flow problem are described, and computational results are presented. Timing results are used to demonstrate that FastStokes scales almost linearly with problem complexity, can easily analyze structures as complicated as an entire comb drive in under an hour, and can produce results that accurately match measured data.

AB - For a wide variety of micromachined devices, designers need accurate analysis of fluid drag forces for complicated three-dimensional problems. In this paper we describe FastStokes, a recently developed three-dimensional fluid analysis program. FastStokes rapidly computes drag forces on complicated structures by solving an integral formulation of the Stokes equation using a precorrected-FFT accelerated boundary-element method. The specializations of the precorrected-FFT algorithm to the Stokes flow problem are described, and computational results are presented. Timing results are used to demonstrate that FastStokes scales almost linearly with problem complexity, can easily analyze structures as complicated as an entire comb drive in under an hour, and can produce results that accurately match measured data.

KW - BEM

KW - FastStokes

KW - fluid

KW - MEMS

KW - simulation

KW - Stokes flow

UR - http://www.scopus.com/inward/record.url?scp=84892064559&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84892064559&partnerID=8YFLogxK

U2 - 10.1007/1-4020-5123-9_4

DO - 10.1007/1-4020-5123-9_4

M3 - Chapter

AN - SCOPUS:84892064559

SN - 1402051220

SN - 9781402051227

SP - 85

EP - 107

BT - Design Automation Methods and Tools for Microfluidics-Based Biochips

PB - Springer Netherlands

ER -