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Erschienen in:
Implicit Boundary and Adaptive Anisotropic Meshing Kapitel lesen Erstes Kapitel lesen

2015 | OriginalPaper | Buchkapitel

On Shape Deformation Techniques for Simulation-Based Design Optimization

verfasst von : Daniel Sieger, Stefan Menzel, Mario Botsch

Erschienen in: New Challenges in Grid Generation and Adaptivity for Scientific Computing

Verlag: Springer International Publishing

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Abstract

We present an in-depth analysis and benchmark of shape deformation techniques for their use in simulation-based design optimization scenarios. We first introduce classical free-form deformation, its direct manipulation variant, as well as deformations based on radial basis functions. We compare the techniques in a series of representative synthetic benchmarks, including computational performance, numerical robustness, quality of the deformation, adaptive refinement, as well as precision of constraint satisfaction. As an application-oriented benchmark we investigate the ability to adapt an existing volumetric simulation mesh according to an updated surface geometry, including unstructured tetrahedral, structured hexahedral, and arbitrary polyhedral example meshes. Finally, we provide a detailed assessment of the methods and give concrete advice on choosing a suitable technique for a given optimization scenario.

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Vorheriges Kapitel A 2D Topology-Adaptive Mesh Deformation Framework for Mesh Warping
Nächstes Kapitel Creating Free-Surface Flow Grids with Automatic Grid Refinement
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Metadaten
Titel
On Shape Deformation Techniques for Simulation-Based Design Optimization
verfasst von
Daniel Sieger
Stefan Menzel
Mario Botsch
Copyright-Jahr
2015
Buch
New Challenges in Grid Generation and Adaptivity for Scientific Computing

Print ISBN: 978-3-319-06052-1

Electronic ISBN: 978-3-319-06053-8

Copyright-Jahr: 2015

DOI
https://doi.org/10.1007/978-3-319-06053-8_14

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