期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 291, 期 -, 页码 1-20出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2015.03.019
关键词
Catmull-Clark subdivision; Local refinement; Truncation mechanism; Hierarchical B-splines; Extraordinary nodes; Isogeometric analysis
资金
- PECASE Award [N00014-14-1-0234]
- NSF CAREER Award [OCI-1149591]
- Office of Naval Research [N00014-08-1-0992]
- National Science Foundation [CMMI-01101007]
- SINTEF [UTA10-000374]
- University of Texas at Austin
In this paper we present a new method termed Truncated Hierarchical Catmull-Clark Subdivision (THCCS), which generalizes truncated hierarchical B-splines to control grids of arbitrary topology. THCCS basis functions satisfy partition of unity, are linearly independent, and are locally refinable. THCCS also preserves geometry during adaptive h-refinement and thus inherits the surface continuity of Catmull-Clark subdivision, namely C-2-continuous everywhere except at the local region surrounding extraordinary nodes, where the surface continuity is C-1. Adaptive isogeometric analysis is performed with THCCS basis functions on a benchmark problem with extraordinary nodes. Local refinement on complex surfaces is also studied to show potential wide application of the proposed method. (C) 2015 Elsevier B.V. All rights reserved.
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