Boundary integral solution of potential problems arising in the modelling of electrified oil films

Chappell, D.J. ORCID: 0000-0001-5819-0271, 2015. Boundary integral solution of potential problems arising in the modelling of electrified oil films. Journal of Integral Equations and Applications, 27 (3), pp. 407-430. ISSN 0897-3962

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Abstract

We consider a class of potential problems on a periodic half-space for the modeling of electrified oil films, which are used in the development of novel switchable liquid optical devices (diffraction gratings). A boundary integral formulation which reduces the problem to the study of the oil-air interface alone is derived and solved in a highly efficient manner using the Nyström method. The oil films encountered experimentally are typically very thin and thus an interface-only integral representation is important for avoiding the near-singularity problems associated with boundary integral methods for long slender domains. The super-algebraic convergence of the proposed method is discussed and demonstrated via appropriate numerical experiments.

Item Type: Journal article
Publication Title: Journal of Integral Equations and Applications
Creators: Chappell, D.J.
Publisher: Project Euclid
Date: 2015
Volume: 27
Number: 3
ISSN: 0897-3962
Identifiers:
NumberType
10.1216/JIE-2015-27-3-407DOI
Divisions: Schools > School of Science and Technology
Depositing User: Linda Sullivan
Date Added: 11 Feb 2016 14:28
Last Modified: 09 Jun 2017 13:59
URI: http://irep.ntu.ac.uk/id/eprint/26935

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