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.
Shock Optimization for Airfoil Design Problems
Springer Optimization
2009-06-15
11 pages
Article/Chapter (Book)
Electronic Resource
English
Dirac Masse , NACA Airfoil , Transonic Speed , Mach Number , Automatic Differentiation Simulation and Modeling , Potential Theory , Automotive Engineering , Mathematical and Computational Engineering , Mathematics , Applications of Mathematics , Mathematical Modeling and Industrial Mathematics , Mathematics and Statistics
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