A new generation of inverse shape design problem in aerodynamics and aerothermoelasticity: concepts, theory and methods

So far the literature on inverse shape design in aerodynamics is still confined to the single‐point (nominal design point) design and to steady flow. This situation cannot cope with the modern development of internal and external aerodynamics and aerothermoelasticity, especially turbomachinery and aircraft flows. Accordingly, in recent years a new generation of inverse shape design problem has been suggested and investigated theoretically and computationally, consisting mainly of: unsteady inverse and hybrid problems; multipoint inverse and hybrid problems; and inverse problem in aerothermoelasticity. It opens a new area of research in fluid mechanics and aerothermoelasticity. An overview of its status and perspective is given herein, emphasizing the new concepts, theory and methods of solution involved.