Acoustic isogeometric boundary element analysis

Simpson, R.N., Scott, M.A., Taus, M., Thomas, D.C. and Lian, Haojie ORCID: https://orcid.org/0000-0002-1706-0216 2014. Acoustic isogeometric boundary element analysis. Computer Methods in Applied Mechanics and Engineering 269 , pp. 265-290. 10.1016/j.cma.2013.10.026

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Abstract

An isogeometric boundary element method based on T-splines is used to simulate acoustic phenomena. We restrict our developments to low-frequency problems to establish the fundamental properties of the proposed approach. Using T-splines, the computer aided design (CAD) and boundary element analysis are integrated without recourse to geometry clean-up or mesh generation. A regularized Burton–Miller formulation is used resulting in integrals which are at most weakly singular. We employ a collocation-based approach to generate the linear system of equations. The method is verified against closed-form solutions and direct comparisons are made with conventional Lagrangian discretizations. It is demonstrated that the superior accuracy of the isogeometric approach emanates from the exact geometric description encapsulated in the T-spline. The method is then applied to a real-world application to illustrate the potential for integrated engineering design and analysis.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Medicine
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Publisher:	Elsevier
ISSN:	0045-7825
Date of Acceptance:	23 October 2013
Last Modified:	31 Oct 2022 08:59
URI:	https://orca.cardiff.ac.uk/id/eprint/79403

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