The design of transonic aerofoils by a well‐posed inverse method
This paper describes a numerical method for designing closed aerofoils that correspond to given surface speed distributions including flows with shock waves. The prescribed surface speed distribution in general contains three parameters whose values are found as part of the solution. The inverse aerofoil design problem is not well posed unless the prescribed speed satisfies three constraints that can be used to fix the value of the three adjustable parameters. The computational method is based on the numerical solution of the full potential equation in conservation form by an approximate factorization–multigrid scheme. The nature of the constraints and several strategies for introducing the necessary freedom in the prescribed speed are discussed along with typical solutions illustrating the method.
Some results of studying thermodynamics of the tropical tropopause and lower stratosphere performed with the help of the stratospheric M-55 Geofizika research aircraft during the international TROCCINOX experiment in 2005 in Brazil are considered. New data on a mesoscale structure of the wind, temperature, and humidity fields over the continental tropics are derived.