The FMM-BEM Method for the 3D Particulate Stokes Flow
Joint Authors
Abdelwahed, Mohamed
Selmi, Hassib
Hamda, Hatem
El Asmi, Lassaad
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-03
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This work introduces new functions based on the spherical harmonics and the solid harmonics which have been used to construct a multipole development for the 3D Stokes problem in order to reduce the operations costs in the BEM method.
We show that the major properties of those functions are inherited from the solid harmonics.
The contribution of this paper is the introduction of new formulas that serve to calculate the multipole moments and the transfer functions that are necessary for the schemes of order O ( N log N ) .
Moreover, new translation formulas are introduced to obtain an O ( N ) scheme.
The error truncation of the resulting scheme is discussed.
In comparison to the BEM that attains a limit storage at O ( 1 0 4 ) , we present here a method based on FMM-BEM that attains a storage at a limit of O ( 1 0 6 ) .
The implementation of the method achieves a high accuracy level at a reasonable cost.
American Psychological Association (APA)
Selmi, Hassib& Abdelwahed, Mohamed& Hamda, Hatem& El Asmi, Lassaad. 2014. The FMM-BEM Method for the 3D Particulate Stokes Flow. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033835
Modern Language Association (MLA)
Selmi, Hassib…[et al.]. The FMM-BEM Method for the 3D Particulate Stokes Flow. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1033835
American Medical Association (AMA)
Selmi, Hassib& Abdelwahed, Mohamed& Hamda, Hatem& El Asmi, Lassaad. The FMM-BEM Method for the 3D Particulate Stokes Flow. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033835
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033835