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

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

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
• Electronic ISSN: 1879-2138
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 346
• Pages: 642-673
• DOI: https://doi.org/10.1016/j.cma.2018.12.019
• Public URL: https://durham-repository.worktribe.com/output/1311254