Design and analysis of a hodograph method for the calculation of supercritical shock-free aerofoils

In this study, an algorithm for the computational design of supercritical shock-free aerofoils is developed and analyzed with hodograph theory. Such an algorithm may be based on the combination of two approaches for the construction of solutions of the flow equations for shock-free transonic flow. In the first approach, such solutions are...

The use of panel methods with a view to problems in aircraft dynamics

A survey is given of the basic principles of the panel methods. The most frequently used methods, steady as well as unsteady, are described in some detail. Recent developments aiming at improvönent and extension of the range of applicability are reviewed. The use of panel methods for the determination of stability derivatives is discussed....

An asymptotic expansion for product integration applied to Cauchy principal value integrals

An introductory description of a hodograph method for transonic shock-free aerofoil design

A design method for transonic shock-free aerofoils using analytic hodograph theory is sketched. A user-oriented outline of the program system that has been developed is presented. A number of examples of computed aerofoils show that the performance of the program system seems to be sifficient for advanced transonic shock-free aerofoil design.

Maximal functions, factorization, and the R-boundedness of integral operators

We generalize a recent result on the ℓs-boundedness of a family of integral operators from the weighted vector-valued Lp(Rd,w;Lq(Ω)) setting to the weighted vector-valued Lp(Rd,w;X) setting for a large class of Banach function spaces X. For this we first extensively study the first part of an unpublished manuscript on the factorization of ℓ2...