caa a22 4500 445877936 CHVBK 20180317145533.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s11081-011-9145-3 doi (NATIONALLICENCE)springer-10.1007/s11081-011-9145-3 Airfoil design for compressible inviscid flow based on shape calculus [Elektronische Daten] [Stephan Schmidt, Caslav Ilic, Volker Schulz, Nicolas Gauger] Aerodynamic design based on the Hadamard representation of shape gradients is considered. Using this approach, the gradient of an objective function with respect to a deformation of the shape can be computed as a boundary integral without any additional "mesh sensitivities” or volume quantities. The resulting very fast gradient evaluation procedure greatly supports a one-shot optimization strategy and coupled with an appropriate shape Hessian approximation, a very efficient shape optimization procedure is created that does not deteriorate with an increase in the number of design parameters. As such, all surface mesh nodes are used as shape design parameters for optimizing a variety of lifting and non-lifting airfoil shapes using the compressible Euler equations to model the fluid. Springer Science+Business Media, LLC, 2011 Shape derivative nationallicence Preconditioning nationallicence One-shot nationallicence Drag reduction nationallicence Euler flow nationallicence Schmidt Stephan Department of Mathematics, University of Trier, Trier, Germany aut Ilic Caslav German Aerospace Center (DLR), Braunschweig, Germany aut Schulz Volker Department of Mathematics, University of Trier, Trier, Germany aut Gauger Nicolas Computational Mathematics Group, RWTH Aachen University, Aachen, Germany aut Optimization and Engineering Springer US; http://www.springer-ny.com 12/3(2011-09-01), 349-369 1389-4420 12:3<349 2011 12 11081 https://doi.org/10.1007/s11081-011-9145-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11081-011-9145-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Schmidt Stephan Department of Mathematics, University of Trier, Trier, Germany aut NATIONALLICENCE 700 1- Ilic Caslav German Aerospace Center (DLR), Braunschweig, Germany aut NATIONALLICENCE 700 1- Schulz Volker Department of Mathematics, University of Trier, Trier, Germany aut NATIONALLICENCE 700 1- Gauger Nicolas Computational Mathematics Group, RWTH Aachen University, Aachen, Germany aut NATIONALLICENCE 773 0- Optimization and Engineering Springer US; http://www.springer-ny.com 12/3(2011-09-01), 349-369 1389-4420 12:3<349 2011 12 11081 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer