An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces

被引：378

作者：

Schillinger, Dominik ^{[1
,2
]}

Dede, Luca ^{[2
]}

Scott, Michael A. ^{[2
]}

Evans, John A. ^{[2
]}

Borden, Michael J. ^{[2
]}

Rank, Ernst ^{[1
]}

Hughes, Thomas J. R. ^{[2
]}

机构：

[1] Tech Univ Munich, Lehrstuhl Computat Engn, D-80333 Munich, Germany

[2] Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2012年 / 249卷

关键词：

Isogeometric analysis; Hierarchical refinement; Adaptivity with NURBS; Immersed boundary analysis; Finite cell method; T-spline CAD surfaces; FLUID-STRUCTURE INTERACTION; FICTITIOUS DOMAIN APPROACH; FINITE-ELEMENT-METHOD; NONLINEAR ELASTICITY; CELL METHOD; MESH; INTERFACE; FORMULATION; ALGORITHMS; SIMULATION;

D O I：

10.1016/j.cma.2012.03.017

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：116 / 150

页数：35

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