Skip to main content

Research Repository

Advanced Search

High-order asymptotic methods provide accurate, analytic solutions to intractable potential problems

Wray, Alexander; Moore, Madeleine

Authors

Alexander Wray

Madeleine Moore



Abstract

The classical problem of determining the density and capacity of arrays of potential sources is studied. This corresponds to a wide variety of physical problems such as electrostatic capacitance, stress in elastostatics and the evaporation of fluid droplets. An asymptotic solution is derived that is shown to give excellent accuracy for arbitrary arrays of sources with non-circular footprints, including polygonal footprints. The solution is extensively validated against both experimental and numerical results. We illustrate the power of the solution by showcasing a variety of newly accessible classical problems that may be solved in a rapid, accurate manner.

Citation

Wray, A., & Moore, M. (2024). High-order asymptotic methods provide accurate, analytic solutions to intractable potential problems. Scientific reports, 14(1), Article 4225. https://doi.org/10.1038/s41598-024-54377-2

Journal Article Type Article
Acceptance Date Feb 12, 2024
Online Publication Date Feb 20, 2024
Publication Date Feb 20, 2024
Deposit Date Feb 23, 2024
Publicly Available Date Feb 23, 2024
Journal Scientific Reports
Print ISSN 2045-2322
Publisher Nature Publishing Group
Peer Reviewed Peer Reviewed
Volume 14
Issue 1
Article Number 4225
DOI https://doi.org/10.1038/s41598-024-54377-2
Keywords Potential problems; Asymptotic methods; Electrostatics; Evaporation
Public URL https://hull-repository.worktribe.com/output/4558152

Files

Published article (2.1 Mb)
PDF

Publisher Licence URL
http://creativecommons.org/licenses/by/4.0

Copyright Statement
© The Author(s) 2024.
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.




You might also like



Downloadable Citations