Log In    |    Join IASS    |    Online Journal    |    Proceedings    |    Directory    |    Events    |    News

On-line Journal of the IASS

Vol. 50 (2009) No. 3 December n. 162


Application of the Multigrid Method to Finite Element Analysis of Fluid Flow Around Domes in Strong Wind

< Table of Contents for Vol. 50 (2009) No. 3 December n. 162
  • Journal Name: Journal of the International Association for Shell and Spatial Structures (J. IASS)
  • ISSN: (Electronic Version) 1996-9015
  • ISSN: (Print Version) 1028-365X
  • Issue: Vol. 50 (2009) No. 3 December n. 162
  • Pages: 181-191
  • Title: Application of the Multigrid Method to Finite Element Analysis of Fluid Flow Around Domes in Strong Wind
  • Author(s): T. Yamashita, T. Kumagai, T. Miyamura, T. Ogawa and M. Ohsaki
  • Keywords: Wind loads; Fluid flow analysis; Shell roof; Multigrid method; Conjugate gradient method; Pressure Poisson equation
Abstract
An efficient linear solver using the multigrid (MG) preconditioned conjugate gradient (MGCG) method is proposed for solving the pressure Poisson equation in the finite element analysis of fluid flow around domes under loading wind. These domes have uniform curvatures in the streamwise direction and in the direction perpendicular to it. In the proposed method, either the two-grid method or the three-grid method is used, and a two-dimensional mesh is used as the coarsest grid. As illustrative examples, fluid flow analyses are performed around cylindrical roofs and domes. The computational cost of the MGCG method is shown to be much lower than that of the conjugate gradient (CG) method with a diagonal-scaling preconditioner. The convergence rate was found to become slightly lower as the curvatures of the dome become large. In addition, for a two-dimension-like flow field the computational cost of the two-grid method was found to be lower than that of the three-grid method, although the convergence rate of the three-grid method is superior to that of the two-grid method.

Read the complete article (pdf) (requires membership or subscription)
© IASS All rights reserved.
IASS · CEDEX - Laboratorio Central de Estructuras y Materiales · C/ Alfonso XII, 3 · 28014 Madrid, Spain     tel. 34 91 335-7409; fax: 335-7422
Site Design & Programming
by World Design Group, Inc.