caa a22 4500 463169484 CHVBK 20180406164809.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s10957-007-9255-4 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9255-4 Multicriterion Aerodynamic Shape Design Optimization and Inverse Problems Using Control Theory and Nash Games [Elektronische Daten] [Z. Tang, J.-A. Désidéri, J. Périaux] Multicriterion design is gaining importance in aeronautics in order to cope with new needs of society. In the literature, contributions to single discipline and/or single-point design optimization abound. The goal of this paper is to introduce a new approach combining the adjoint method with a formulation derived from game theory for multipoint aerodynamic design problems. Transonic flows around lifting airfoils are analyzed via Euler computations. Airfoil shapes are optimized according to various aerodynamic criteria. The notion of player is introduced. In a competitive Nash game, each player attempts to optimize its own criterion through a symmetric exchange of information with others. A Nash equilibrium is reached when each player, constrained by the strategy of the others, cannot improve further its own criterion. Specific real and virtual symmetric Nash games are implemented to set up an optimization strategy for design under conflict. Springer Science+Business Media, LLC, 2007 Aerodynamics nationallicence Multicriterion optimization nationallicence Nash games nationallicence Control theory nationallicence Adjoint method nationallicence Inverse problems nationallicence Tang Z. College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China aut Désidéri J.-A Opale Project Team, INRIA, Sophia-Antipolis, France aut Périaux J. CIMNE, UPC, Barcelona, Spain aut Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/3(2007-12-01), 599-622 0022-3239 135:3<599 2007 135 10957 https://doi.org/10.1007/s10957-007-9255-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9255-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Tang Z. College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China aut NATIONALLICENCE 700 1- Désidéri J.-A Opale Project Team, INRIA, Sophia-Antipolis, France aut NATIONALLICENCE 700 1- Périaux J. CIMNE, UPC, Barcelona, Spain aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/3(2007-12-01), 599-622 0022-3239 135:3<599 2007 135 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer