Chapter

Parameterization and implementation issues

Bijan Mohammadi and Olivier Pironneau

in Applied Shape Optimization for Fluids

Second edition

Published in print September 2009 | ISBN: 9780199546909
Published online February 2010 | e-ISBN: 9780191720482 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199546909.003.0006

Series: Numerical Mathematics and Scientific Computation

 Parameterization and implementation issues

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This chapter presents parameterization and geometrical issues. This is also one of key points for an efficient OSD platform. It describes different strategies for shape deformation within and without (level set and CAD-Free) computer aided design data structures during optimization. It discusses mesh deformation and remeshing. It discusses the pros and the cons of injection/suction boundary conditions equivalent to moving geometries when the motion is small. Some strategies to couple mesh adaptation and the shape optimization loop are presented. The aim is to obtain a multi-grid effect and improve convergence.

Keywords: parameterization; level set; CAD-Free; remeshing; equivalent boundary conditions

Chapter.  6765 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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