Gong, Y. and Trevelyan, J. and Hattori, G. and 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 . pp. 642-673.
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.
|Full text:||(AM) Accepted Manuscript|
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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|Publisher Web site:||https://doi.org/10.1016/j.cma.2018.12.019|
|Publisher statement:||© 2018 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/|
|Date accepted:||08 December 2018|
|Date deposited:||19 December 2018|
|Date of first online publication:||18 December 2018|
|Date first made open access:||18 December 2019|
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