Accurate evaluation of integrals in slender-body formulations for fibers in viscous flow (Record no. 702)

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fixed length control field 01330nam a2200169 a 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20260901030407.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 250101s2020 xx o 000 0 eng d
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Anna-Karin Tornberg
245 10 - TITLE STATEMENT
Title Accurate evaluation of integrals in slender-body formulations for fibers in viscous flow
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Name of producer, publisher, distributor, manufacturer arXiv
Date of production, publication, distribution, manufacture, or copyright notice 2020
336 ## - CONTENT TYPE
Content type term text
338 ## - CARRIER TYPE
Carrier type term online resource
520 ## - SUMMARY, ETC.
Summary, etc. A non-local slender body approximation for slender flexible fibers in Stokes flow can be derived, yielding an integral equation along the center lines of the fibers that involves a slenderness parameter. The formulation contains a so-called finite part singular integral, and can in the case of several fibers or evaluation of the flow field require the evaluation of nearly singular integrals. We introduce a numerical technique to accurately and efficiently evaluate the finite part integral. This technique can be applied combined with any panel based quadrature rule and will add no additional cost except for a small precomputation of modified quadrature weights. We also show how a related technique that was recently introduced can be applied for the evaluation of the nearly singular integrals.
506 0# - RESTRICTIONS ON ACCESS NOTE
Terms governing access Open access — freely available to read.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://arxiv.org/pdf/2012.12585v1">https://arxiv.org/pdf/2012.12585v1</a>
Link text Read the full paper (PDF)
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Koha item type Electronic resource (link)
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      Available online General Yegates University Library Yegates University Library Science and Computing 09/01/2026   YGE000963 09/01/2026 https://arxiv.org/pdf/2012.12585v1 09/01/2026 Research paper — read online