THE MAIN SCIENTIFIC ACHIEVEMENTS
1. Method of Discrete Vortices was improved for class non-stationary problems, which reduced mistakes input data for Cauchy problem due to the regularization of the initial-boundary problem solution.
2. Improved Method of Discrete Vortices (IMDV) was generalized for class of viscous medium.
3. Cauchy-Lagrange formula to calculate the pressure field near a group of non-stationary moving bodies of arbitrary shape near the wall as in the presence of flow, and without it, was generalized on the case of a viscous incompressible vortical medium.
4. Method of extracting the circulation, vortical and inertial component loads on thin wings was proposed.
5. Three main optimization problems for wing-propulsor oscillating with two degrees of freedom, i.e. maximization of the mean thrust coefficient, maximization of the efficiency and searching their common maximum with the control of the maximum instantaneous angle of attack were solved numerically.
6. It was shown that unlike the inertial-circulation nature of forces arising on the wings of birds, fins of fishes and dolphins, the nature of the forces arising on the wings of insects usually is inertial-vortical, and the contribution of the inertial component can be more than 100% since the circulation component can give a negative contribution.
7. The hypothesis of Dickinson, Lehmann, Sane (1999) that supposedly the so-called mechanisms of "vortex capture" and "rotational circulation" are responsible for aerodynamic loads on the wings of insects were refuted.
8. It was proved that the nature of aerodynamic forces on the wings of an elastic membrane ornithopter whose wings flapping in the normal hovering flight with the flow separation from the leading edges of the wings is inertial, i.e. depends on the instantaneous added mass and is determined by the circulation of the acceleration of air along the contour adjacent to the wing of the ornithopter.