The stability of the optimal aerodynamic design of an isolated three-dimensional wing to its initial form

The results are presented for the initial form stability analysis of the optimal aerodynamic design algorithm in context of an isolated three-dimensional wing of a wide-body long-range aircraft. The solution to the problem of geometry determination with a minimum of wing total drag subject to a fixed lift coefficient with allowance for numerous aerodynamic and geometrical constraints by means of the algorithm combining high-precision mathematical modeling and global optimal search using supercomputing technologies. It is established that the algorithm is stable to the choice of the wing initial form, because the optimal designs obtained for two considerably distinct variants of the wing's initial form are very close to each other and have practically identical integral aerodynamic properties at the main design point as well as in a wide range of flight conditions.