Finite Element Methods with exact geometry representation

IsoGeometric Analysis, NURBS Enhanced Finite Element Method and AnisoGeometric Analysis

Master thesis (2011)

Authors

D. Ernens Aerospace Engineering

Contributors

H. Bijl Aerospace Engineering (supervisor 1)
S.J. Hulshoff Aerodynamics - Aerospace Engineering (supervisor 1)
M.I. Gerritsma Aerodynamics - Aerospace Engineering (supervisor 1)
C.V. Verhoosel (supervisor 1)
P.W. Fick Aerodynamics - Aerospace Engineering (supervisor 1)
Faculty
Aerospace Engineering
Copyright: © 2011 Dennis Ernens
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Published Date

04-11-2011

Language

English

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Faculty

Aerospace Engineering

Abstract

Traditionally, geometry has been represented differently in the field of Computer Aided Design (CAD) and Finite Element Analysis (FEA). This means that the CAD geometry, which can be seen as exact, must be converted to an Analysis Suitable Geometry (ASG) for input in a FEA program. A cumbersome and time consuming process, more commonly known as meshing. Furthermore, most engineering analysis techniques use linear or quadratic approximations of the originally exact geometry. Besides the geometry error, these crude geometry approximations can give rise to numerical errors such as spurious oscillations. In order to avoid these problems an integrated approach is necessary which unifies CAD and FEA.