Accession Number : ADA558914


Title :   An Isogeometric Design-through-analysis Methodology based on Adaptive Hierarchical Refinement of NURBS, Immersed Boundary Methods, and T-spline CAD Surfaces


Descriptive Note : Journal article preprint


Corporate Author : TEXAS UNIV AT AUSTIN INST FOR COMPUTATIONAL ENGINEERING AND SCIENCES


Personal Author(s) : Schillinger, Dominik ; Dede, Luca ; Scott, Michael A ; Evans, John A ; Borden, Michael J ; Rank, Ernst ; Hughes, Thomas J


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a558914.pdf


Report Date : 22 Jan 2012


Pagination or Media Count : 61


Abstract : We explore hierarchical refinement of NURBS as a basis for adaptive isogeometric and immersed boundary analysis. We use the principle of B-spline subdivision to derive a local refinement procedure which combines full analysis suitability of the basis with straightforward implementation in tree data structures and simple generalization to higher dimensions. We test hierarchical refinement of NURBS for some elementary fluid and structural analysis problems in two and three dimensions and attain good results in all cases. Using the B-spline version of the finite cell method, we illustrate the potential of immersed boundary methods as a seamless isogeometric design-through-analysis procedure for complex engineering parts defined by T-spline CAD surfaces, specifically a ship propeller and an automobile wheel. We show that hierarchical refinement considerably increases the flexibility of this approach by adaptively resolving local features.


Descriptors :   *SPLINES(GEOMETRY) , ADAPTIVE SYSTEMS , ANALYTIC GEOMETRY , BOUNDARIES


Subject Categories : Numerical Mathematics
      Theoretical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE