Nano Science and Technology InstituteNano Science and Technology Institute
Nano Science and Technology Institute 2004 NSTI Nanotechnology Conference & Trade Show
Nanotech 2004
BioNano 2004
Topics & Tracks
Index of Authors
Business & Investment
2004 Sub Sections
Venue 2004
Press Room
Purchase CD/Proceedings
NSTI Events
Site Map
Nanotech Proceedings
Nanotechnology Proceedings
Supporting Organizations
Nanotech Supporting Organizations
Media Sponsors
Nanotech Media Sponsors
Event Contact
696 San Ramon Valley Blvd., Ste. 423
Danville, CA 94526
Ph: (925) 353-5004
Fx: (925) 886-8461

A pFFT Accelerated Linear Strength BEM Potential Solver

D.J. Willis, J.K. White and J. Peraire
Massachusetts Institute of Technology, US

Keywords: pFFT, linear, potential, BEM, Galerkin

A linear strength, Galerkin Boundary Element Meth- od (BEM) for the solution of the three dimensional, direct potential boundary integral equation is presented. The method incorporates node based linear shape functions of the single and double layers on flat triangular elements. The BEM solution is accelerated using a precorrected Fast Fourier Transform algorithm (pFFT). Due to the extended compact support of the linear basis, there exist several approaches for implementing a linear strength pFFT. In this paper, two approaches are discussed and results are presented for the simpler of the two implementations. The work presented in this paper is applied to potential flow problems. Results are presented for flow solutions around spheres and aircraft wings. The results of the sphere simulations are compared with analytical solutions, while the solutions for the wings are compared with 2-Dimensional results. The results indicate accurate solutions of the potential flow around 3-Dimensional bodies. The linear basis shows improved accuracy when compared with the constant basis approach; however, the error of the linear BEM solution converges at a similar rate to the constant panels. This is due to the domination of the surface discretization error, which converges in the first order for planar element representations of curved surfaces.

Nanotech 2004 Conference Technical Program Abstract

Nanotech Sponsors
News Headlines
NSTI Online Community

© Nano Science and Technology Institute, all rights reserved.
Terms of use | Privacy policy | Contact