Transonic flow occurs around moving objects as they approach andcross the sound barrier. Serious problems can occur at this point,such as shock-induced flow separation which can cause the aircraftto spin out of control. Another important practical problem is theachievement of higher aerodynamic performance of aircraft at cruiseconditions, which leads to considerable fuel savings. The successin application of numerical methods for simulation of transonicflow and aircraft design depends on developments in the underlyingmathematical theory.
This book presents a breakthrough in the solvability analysis ofboundary value problems, which makes it possible to establishconvergence of finite element approximations for shock-free flowand to provide a framework for putting the existing numericalmethods on a more sound basis. Also, physical aspects concernedwith patterns of formation and propagation of weak shock waves areanalysed. This contributes to the understanding of the extremesensitivity of transonic flow to perturbation of freestreamconditions. The developed theoretical knowledge base yieldspromising concepts of the airfoil design and active flow control byairfoil/wing shape modifications or suction/blowing through aperforated surface.
Boundary Value Problems for Transonic Flow
* Focuses on Computational Fluid Dynamics.
* Addresses practical problems, such as airfoil design and flowcontrol.
* Presents developments made in the last two decades.
In essence this is a much needed monograph for researchers andengineers in applied mathematics and numerical analysis applied toaerodynamics and for algorithm developers in Computational FluidDynamics in the aircraft industry. It gives design engineers theunderlying mathematical theory necessary for developing newconcepts for airfoil/wing design and flow control.
Alexander G. Kuz'min
Aeronautic & Aerospace Engineering Luft- u. Raumfahrttechnik Luftfahrttechnik Maschinenbau Mechanical Engineering Überschallströmung