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Fast and accurate evaluation of boundary integrals in 3D Stokes flow Tlupova, Svetlana
Description
We present a numerical method for computing the Stokeslet and stresslet integrals in Stokes flow, motivated by applications such as swimming of microorganisms, particle and drop motion, or biomembrane and red blood cell mechanics. Evaluating the integrals accurately for points near the boundary, e.g., when two interfaces are close together, is the most difficult case. The accurate solution is obtained by regularizing the kernels and adding analytically derived correction terms to eliminate the largest error. On the surface, high order regularizations are designed so that corrections are not required. To evaluate the resulting sums efficiently, we developed a kernel-independent treecode based on barycentric Lagrange interpolation.
Item Metadata
Title |
Fast and accurate evaluation of boundary integrals in 3D Stokes flow
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-05-17T09:33
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Description |
We present a numerical method for computing the Stokeslet and stresslet integrals in Stokes flow, motivated by applications such as swimming of microorganisms, particle and drop motion, or biomembrane and red blood cell mechanics. Evaluating the integrals accurately for points near the boundary, e.g., when two interfaces are close together, is the most difficult case. The accurate solution is obtained by regularizing the kernels and adding analytically derived correction terms to eliminate the largest error. On the surface, high order regularizations are designed so that corrections are not required. To evaluate the resulting sums efficiently, we developed a kernel-independent treecode based on barycentric Lagrange interpolation.
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Extent |
33.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Farmingdale State College
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Series | |
Date Available |
2019-11-14
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0385506
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International