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Hybrid nearly singular integration for isogeometric boundary element analysis of coatings and other thin 2D structures

Gong, Y.; Trevelyan, J.; Hattori, G.; Dong, C.

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Authors

Y. Gong

G. Hattori

C. Dong



Abstract

We present an isogeometric boundary element method (IGABEM) capable of delivering accurate and efficient solutions in the heat transfer analysis of 2D coated structures such as those commonly found in turbomachinery. Although we consider very thin coatings (of thickness down to m), they are modelled explicitly as BEM zones, and this is made possible by the development of a new integration scheme (sinh) aimed particularly at the challenging nearly singular integrals that arise. Sinh is a hybrid of adaptive and sinh transformation approaches, and we make further extensions to the latter to improve its robustness. The scheme is tuned to deliver results of engineering accuracy in an optimal time. The scheme is adaptable, by changing a tolerance, to enable engineers to achieve a different balance between accuracy and computational efficiency as may be required for different applications. A set of numerical examples demonstrates the ability of the scheme to produce accurate temperature distributions efficiently in the presence of very thin coatings.

Citation

Gong, Y., Trevelyan, J., Hattori, G., & Dong, C. (2019). Hybrid nearly singular integration for isogeometric boundary element analysis of coatings and other thin 2D structures. Computer Methods in Applied Mechanics and Engineering, 346, 642-673. https://doi.org/10.1016/j.cma.2018.12.019

Journal Article Type Article
Acceptance Date Dec 8, 2018
Online Publication Date Dec 18, 2018
Publication Date Apr 1, 2019
Deposit Date Dec 19, 2018
Publicly Available Date Dec 18, 2019
Journal Computer Methods in Applied Mechanics and Engineering
Print ISSN 0045-7825
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 346
Pages 642-673
DOI https://doi.org/10.1016/j.cma.2018.12.019

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