In deriving automatic numerical optimization algorithms for aerodynamic app
lications, it is quite important to choose a suitable cost function and a s
uitable set of design parameters. The unknown airfoil/blade profiles are us
ually chosen to be the design parameters. However, there are certain advant
ages in using the pressure/velocity distribution as the design variable in
some applications; the optimized distribution can be used in a three-dimens
ional inverse design method to generate the actual profile shape. In this p
aper this approach will be addressed. Two methods are used to parameterize
the circulation distribution for compressor blades. The Dawes code is used
to calculate the viscous effect. An automatic optimization algorithm is dev
eloped, and two objective functions defined by the entropy loss or the aero
dynamic blockage are examined.