Isogeometric AnalysisJan Helmig
Lecture „Isogeometric Analysis“ is an elective course suitable for students in the Master programs „General Mechanical Engineering“, „Computational Engineering Science“ and „Simulation Sciences“.
Lecture: Prof. Dr.-Ing. Stefanie Elgeti
Exercises: Florian Zwicke, M.Sc.
The course will give an introduction to the concept of Isogeometric Analysis, for short IGA, particularly in comparison to the classical Finite Element Method. In Isogeometric Analysis, the interpolation is performed using non-uniform rational B-splines, for short NURBS. As NURBS are also the basis of CAD-models, the idea is to be able to perform finite element simulations directly on CAD-models, avoiding a separate meshing step. The new nature of the interpolation requires the adaption of the classical finite element method, e.g., mesh refinement strategies specific to IGA need to be developed. During the course, we will cover the application of IGA to structural mechanics, heat transfer, and fluid mechanics. In the context of fluid mechanics, a comparison to the related topic of „NURBS-Enhanced Finite Elements“ will be discussed.
The module consists of a lecture (2 SWS) and an exercise (1 SWS), and carries 6 ECTS points.
- fundamentals of isogeometric analysis
- refining strategies in IGA
- application to structural mechanics, heat transfer, and fluid mechanics
- comparison to „NURBS-Enhanced Finite Elements„
- J. A. Cottrell, T. Hughes, Y. Bazilevs: Isogeometric Analysis - Toward Integration of CAD and FEA , Wiley, 2009
- Sevilla, R. Fernandez-Mendez, S. and Huerta A.: 3D NURBS-Enhanced Finite Element Method (NEFEM) , International Journal for Numerical Methods in Engineering, 88 (2), 103-125, 2011
Oral exam and homework.