Isogeometric boundary element analysis using unstructured T-splines

M. A. Scott, R. N. Simpson, J. A. Evans, S. Lipton, S. P A Bordas, T. J R Hughes, T. W. Sederberg

Research output: Contribution to journalArticle

240 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)197-221
Number of pages25
JournalComputer Methods in Applied Mechanics and Engineering
Volume254
DOIs
Publication statusPublished - Feb 2013
Externally publishedYes

Fingerprint Dive into the research topics of 'Isogeometric boundary element analysis using unstructured T-splines'. Together they form a unique fingerprint.

  • Cite this

    Scott, M. A., Simpson, R. N., Evans, J. A., Lipton, S., Bordas, S. P. A., Hughes, T. J. R., & Sederberg, T. W. (2013). Isogeometric boundary element analysis using unstructured T-splines. Computer Methods in Applied Mechanics and Engineering, 254, 197-221. https://doi.org/10.1016/j.cma.2012.11.001