Swept volume parameterization for isogeometric analysis. (English) Zbl 1253.65182

Aigner, Martin; Heinrich, Christoph; Jüttler, Bert; Pilgerstorfer, E.; Simeon, Bernd; Vuong, Anh-Vu

Hancock, Edwin R. (ed.) et al., Mathematics of surfaces XIII. 13th IMA international conference York, UK, September 7–9, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-03595-1/pbk). Lecture Notes in Computer Science 5654, 19-44 (2009).

Summary: Isogeometric Analysis uses NURBS representations of the domain for performing numerical simulations. The first part of this paper presents a variational framework for generating NURBS parameterizations of swept volumes. The class of these volumes covers a number of interesting free-form shapes, such as blades of turbines and propellers, ship hulls or wings of airplanes. The second part of the paper reports the results of isogeometric analysis which were obtained with the help of the generated NURBS volume parameterizations. In particular we discuss the influence of the chosen parameterization and the incorporation of boundary conditions.
For the entire collection see [Zbl 1173.68011].

MSC:

65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65D17	Computer-aided design (modeling of curves and surfaces)
65D18	Numerical aspects of computer graphics, image analysis, and computational geometry
65Y15	Packaged methods for numerical algorithms
68U05	Computer graphics; computational geometry (digital and algorithmic aspects)

Keywords:

NURBS volume parameterization; isogeometric analysis; swept volume

Software:

ISOGAT