Finite Element Methods with exact geometry representation
IsoGeometric Analysis, NURBS Enhanced Finite Element Method and AnisoGeometric Analysis
D. Ernens (TU Delft - Aerospace Engineering)
H. Bijl – Mentor (TU Delft - Aerospace Engineering)
S. J. Hulshoff – Mentor (TU Delft - Aerodynamics)
M. Gerritsma – Mentor (TU Delft - Aerodynamics)
C.V. Verhoosel – Mentor
P.W. Fick – Mentor (TU Delft - Aerodynamics)
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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.