Isogeometric boundary element analysis using unstructured T-splines

Scott, M. A., Simpson, Robert Napier, Evans, J. A., Lipton, S., Bordas, Stephane Pierre Alain ORCID: https://orcid.org/0000-0001-8634-7002, Hughes, T. J. R. and Sederberg, T. W. 2013. Isogeometric boundary element analysis using unstructured T-splines. Computer Methods in Applied Mechanics and Engineering 254 , pp. 197-221. 10.1016/j.cma.2012.11.001

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Abstract

We couple collocated isogeometric boundary element methods and unstructured analysis-suitable T-spline surfaces for linear elastostatic problems. We extend the definition of analysis-suitable T-splines to encompass unstructured control grids (unstructured meshes) and develop basis functions which are smooth (rational) polynomials defined in terms of the Bézier extraction framework and which pass standard patch tests. We then develop a collocation procedure which correctly accounts for sharp edges and corners, extraordinary points, and T-junctions. This approach is applied to several three-dimensional problems, including a real-world T-spline model of a propeller. We believe this work clearly illustrates the power of combining new analysis-suitable computer aided design technologies with established analysis methodologies, in this case, the boundary element method.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Advanced Research Computing @ Cardiff (ARCCA) Engineering
Subjects:	Q Science > QC Physics
Uncontrolled Keywords:	Isogeometric analysis; T-splines; Boundary elements; Design-through-analysis; Collocation
Publisher:	Elsevier
ISSN:	0045-7825
Funders:	EU FP7, EPSRC, European Research Council (ERC), Office of Naval Research, National Science Foundation, SINTEF
Last Modified:	21 Oct 2022 09:43
URI:	https://orca.cardiff.ac.uk/id/eprint/37467

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