Shock Optimization for Airfoil Design Problems

Olivier Pironneau ()
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Olivier Pironneau: LJLL, University of Paris VI & IUF

Chapter Chapter 20 in Variational Analysis and Aerospace Engineering, 2009, pp 367-377 from Springer

Abstract: Abstract We begin by recalling the classical approach to solve shape design problems by gradient methods. Then we proceed to explain how automatic differentiation can simplify the analysis and illustrate this approach to a shape design problem where the shock is required to be at a certain place. The object of this chapter is to show that automatic differentiation seems to work even though the gradients and the calculus of variation have to be extended by Distribution theory.

Keywords: Mach Number; Dirac Masse; Automatic Differentiation; NACA Airfoil; Transonic Speed (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-95857-6_20

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DOI: 10.1007/978-0-387-95857-6_20

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