Mathematical Modelling for Wave Drag Optimization and Design of High-Speed Aircrafts Can Citak, Serkan Ozgen and Gerhard Wilhelm Weber Abstract Supersonic flight has been the subject of last half century. Both civil and defence projects have been running to design an aircraft to fly faster than speed of sound. Developing technology and increasing experience of design leads to faster, fuel efficient, hence, ecological, long-ranged aircrafts. These vehicles make people live easy by shortening travel time, perform missions with powerful defence aircrafts and helping explore space. Aerodynamic design is the main argument of the high speed aircrafts improvement. Having less supersonic drag force, which is greater than the double of subsonic case for conventional aircraft, is the ultimate goal of the aircraft designers at supersonic speed. In this chapter, an aerodynamic characteristics of the entire configuration is optimized in order to reach this aim. Moreover, solver algorithm is validated with computational fluid dynamics simulations for different geometries at various speeds. The objective of this study is to develop a program which optimizes wave drag coefficient of high speed aircrafts by numerical methods. Keywords Supersonic flight · Wave drag · Optimization · Area rule 1 Wave Drag Definition Designing an aircraft with the ability of flying faster than the speed of sound was the purpose of most aircraft designers in the past decades in order to reduce travel time and research space. Both aims require ultimate design configurations for definite missions. Unlike the subsonic design, the supersonic region has struggles to deal with in order to reach this aim. The major part of this problem is about the huge drag C. Citak (B ) · S. Ozgen · G.W. Weber METU, Ankara, Turkey e-mail: ccitak@ae.metu.edu.tr S. Ozgen e-mail: sozgen@ae.metu.edu.tr G.W. Weber e-mail: gweber@metu.edu.tr © Springer International Publishing AG 2017 A.A. Pinto and D. Zilberman (eds.), Modeling, Dynamics, Optimization and Bioeconomics II, Springer Proceedings in Mathematics & Statistics 195, DOI 10.1007/978-3-319-55236-1_7 109