A system of equations was developed to describe the motion of an ornithopter wing in an incompressible environment as a special case of solving the Navier-Stokes equations. The system of equations was presented in a discrete form for solution by the Jacobi iteration method. The model was verified for a two-dimensional array of cells. A program was developed in the universal programming language C++ to perform the calculations. The visualization of the calculation results was performed in real time. The means of managing the video card resources were involved in the calculations. The visualization of the velocity field showed the continuity of the solution in time and space, and the possibility of using the developed model and the resources of modern personal computers to analyze the motion of dynamically changing surfaces of aircraft, in particular, the ornithopter wing. The proposed method provides an opportunity to simulate the operation of the ornithopter in real time, with the subsequent replacement of individual links of the model with real objects, predicting the trajectory of the ornithopter and sending control commands to the wing actuators to ensure the specified movement.
Бондаренко et al. (Wed,) studied this question.