A fast multi-level boundary element algorithm for stokes flows in two-dimensions

G. F. Dargush; M. M. Grigoriev

doi:10.1115/ht-fed2004-56327

A fast multi-level boundary element algorithm for stokes flows in two-dimensions

G. F. Dargush
, M. M. Grigoriev

Department of Mechanical and Aerospace Engineering

SUNY Buffalo

Research output: Contribution to conference › Paper › peer-review

Abstract

Recently, we have developed multi-level boundary element methods (MLBEM) for the solution of the Laplace and Helmholtz equations that involve asymptotically decaying non-oscillatory and oscillatory singular kernels, respectively. The accuracy and efficiency of the fast boundary element methods for steady-state heat diffusion and acoustics problems have been investigated for square domains. The current work extends the MLBEM methodology to the solution of Stokes equation in more complex two dimensional domains. The performance of the fast boundary element method for the Stokes flows is first investigated for a model problem in a unit square. Then, we study the performance of the MLBEM algorithm in a C-shaped domain.

Original language	English
Pages	663-674
Number of pages	12
DOIs	https://doi.org/10.1115/ht-fed2004-56327
State	Published - 2004
Event	2004 ASME Heat Transfer/Fluids Engineering Summer Conference, HT/FED 2004 - Charlotte, NC, United States Duration: Jul 11 2004 → Jul 15 2004

Conference

Conference	2004 ASME Heat Transfer/Fluids Engineering Summer Conference, HT/FED 2004
Country/Territory	United States
City	Charlotte, NC
Period	07/11/04 → 07/15/04

Keywords

Multi-level boundary element methods
Stokes flows

Access to Document

10.1115/ht-fed2004-56327

Cite this

@conference{89dea641011945b9bc30bbb96c3ea383,

title = "A fast multi-level boundary element algorithm for stokes flows in two-dimensions",

abstract = "Recently, we have developed multi-level boundary element methods (MLBEM) for the solution of the Laplace and Helmholtz equations that involve asymptotically decaying non-oscillatory and oscillatory singular kernels, respectively. The accuracy and efficiency of the fast boundary element methods for steady-state heat diffusion and acoustics problems have been investigated for square domains. The current work extends the MLBEM methodology to the solution of Stokes equation in more complex two dimensional domains. The performance of the fast boundary element method for the Stokes flows is first investigated for a model problem in a unit square. Then, we study the performance of the MLBEM algorithm in a C-shaped domain.",

keywords = "Multi-level boundary element methods, Stokes flows",

author = "Dargush, \{G. F.\} and Grigoriev, \{M. M.\}",

year = "2004",

doi = "10.1115/ht-fed2004-56327",

language = "English",

pages = "663--674",

note = "2004 ASME Heat Transfer/Fluids Engineering Summer Conference, HT/FED 2004 ; Conference date: 11-07-2004 Through 15-07-2004",

}

TY - CONF

T1 - A fast multi-level boundary element algorithm for stokes flows in two-dimensions

AU - Dargush, G. F.

AU - Grigoriev, M. M.

PY - 2004

Y1 - 2004

N2 - Recently, we have developed multi-level boundary element methods (MLBEM) for the solution of the Laplace and Helmholtz equations that involve asymptotically decaying non-oscillatory and oscillatory singular kernels, respectively. The accuracy and efficiency of the fast boundary element methods for steady-state heat diffusion and acoustics problems have been investigated for square domains. The current work extends the MLBEM methodology to the solution of Stokes equation in more complex two dimensional domains. The performance of the fast boundary element method for the Stokes flows is first investigated for a model problem in a unit square. Then, we study the performance of the MLBEM algorithm in a C-shaped domain.

AB - Recently, we have developed multi-level boundary element methods (MLBEM) for the solution of the Laplace and Helmholtz equations that involve asymptotically decaying non-oscillatory and oscillatory singular kernels, respectively. The accuracy and efficiency of the fast boundary element methods for steady-state heat diffusion and acoustics problems have been investigated for square domains. The current work extends the MLBEM methodology to the solution of Stokes equation in more complex two dimensional domains. The performance of the fast boundary element method for the Stokes flows is first investigated for a model problem in a unit square. Then, we study the performance of the MLBEM algorithm in a C-shaped domain.

KW - Multi-level boundary element methods

KW - Stokes flows

UR - https://www.scopus.com/pages/publications/21544484305

U2 - 10.1115/ht-fed2004-56327

DO - 10.1115/ht-fed2004-56327

M3 - Paper

AN - SCOPUS:21544484305

SP - 663

EP - 674

T2 - 2004 ASME Heat Transfer/Fluids Engineering Summer Conference, HT/FED 2004

Y2 - 11 July 2004 through 15 July 2004

ER -

A fast multi-level boundary element algorithm for stokes flows in two-dimensions

Abstract

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this