Lift maximization for a smooth contour placed in flow with a vortex

Conditional Optimization and One Inverse Boundary Value Problem

“…Thus it feels natural to construct the solution similarly to [4] and consider the sum( )+ 0 ( ). Nevertheless the solution minimizing the norm ‖ ‖ ∞ under condition of nonzero and differs from the given sum.…”

“…Since the velocity is given only in the finite set of points it seems natural to apply a spline (not necessarily linear) in order to define this function for all the contour points. This approach was widely used by the authors of [4].…”

“…The inverse boundary value problem solution methods can be applied for problems of aerohydrodynamics [2,4]. For example, all the wing construction methods I know of reduce to two basic problems [5].…”

“…Note that the constants , , and values under conditions (8), (9) depend only on the form of Zhukovskii-Mitchell modified function [2,4].…”