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Applied Shape Optimization for Fluids$
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Bijan Mohammadi and Olivier Pironneau

Print publication date: 2009

Print ISBN-13: 9780199546909

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780199546909.001.0001

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Incomplete sensitivities

Incomplete sensitivities

(p.164) 8 Incomplete sensitivities
Applied Shape Optimization for Fluids

Bijan Mohammadi

Olivier Pironneau

Oxford University Press

This chapter discusses incomplete sensitivity. Incomplete sensitivity means that during sensitivity evaluation, only the deformation of the geometry is accounted for and the change of the state variable due to the change of geometry is ignored. The chapter gives the class of functionals for which this assumption can be made. Incomplete sensitivity calculations are illustrated on several model problems, giving the opportunity of introducing low-complexity models for sensitivity analysis. The chapter shows by experience that the accuracy is sufficient for quasi-Newton algorithms, and also that the complexity of the method is drastically reduced making possible real time sensitivity analysis latter used for unsteady applications.

Keywords:   incomplete sensitivity, geometry deformation, real time sensitivity analysis

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