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
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Mach Number , Dirac Masse , Automatic Differentiation , NACA Airfoil , Transonic Speed Mathematics , Mathematical Modeling and Industrial Mathematics , Potential Theory , Simulation and Modeling , Applications of Mathematics , Mathematical and Computational Engineering , Automotive Engineering , Mathematics and Statistics
Shock Optimization for Airfoil Design Problems
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