A parallel fast multipole accelerated integral equation scheme for 3D Stokes equations

In this paper, we discuss a numerical scheme for the Stokes equations in three dimensions. It uses an integral equation formulation and is accelerated by the new version of fast multipole method first introduced by Greengard and Rokhlin in 1997 (Acta Numerica 1997; 6:229–269). The code is paralleliz...

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Bibliographic Details
Published inInternational journal for numerical methods in engineering Vol. 70; no. 7; pp. 812 - 839
Main Authors Wang, Haitao, Lei, Ting, Li, Jin, Huang, Jingfang, Yao, Zhenhan
Format Journal Article
LanguageEnglish
Published Chichester, UK John Wiley & Sons, Ltd 14.05.2007
Wiley
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Summary:In this paper, we discuss a numerical scheme for the Stokes equations in three dimensions. It uses an integral equation formulation and is accelerated by the new version of fast multipole method first introduced by Greengard and Rokhlin in 1997 (Acta Numerica 1997; 6:229–269). The code is parallelized to solve problems of extremely large size. The resulting numerical solver can be applied to Stokes flows in complex geometry and also serves as a building block for solving the Navier–Stokes equations of low to moderate Reynold's numbers. Copyright © 2006 John Wiley & Sons, Ltd.
Bibliography:istex:88FFC60C8C2FB912C56518A5F9FECB9614DDCCD2
Tsinghua University
ArticleID:NME1910
ark:/67375/WNG-FJ9K8WVL-J
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.1910