AN aerodynamic design method is developed which couples flow analysis
and numerical optimization to find an airfoil shape with improved aero
dynamic performance. The flow analysis code is based on the coupled Eu
ler and boundary-layer equations in order to include the rotational, v
iscous physics of transonic flows. The numerical optimization process
searches for the best feasible design for the specified design objecti
ve and design constraints. The method is demonstrated with several exa
mples at transonic flow conditions.