Part 1. General problems of the intellectual systems theory

Modeling wing aerodynamics with cellular automata

A. S. Gordeeva

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The paper explores the problem of modeling the motion of a wing in an air flow. For this purpose, we use cellular automata modeling the movement of the air and cellular automaton modeling the wing. The wing has some asymmetrical shape. Cellular automata represent linear motion of particles, but they bypass the wing upon collision with it; moreover, the velocity of particles moving along the longer side of the wing is greater than the velicity of particles on the other side. This leads to appearance of a lifting force. The automaton modelling the wing sees cellular automata from some neighbourhood and calculates the velocity of particles. Based on this, the lift vector is calculated. As a result, the wing changes its coordinates. An explicit formula for calculating velocities in the general case, enough for the wing to lift, was found. A proof of the statement for the simplified wing profile was also presented. An example showing that the velocity calculated by the explicit formula decreases with a small increase in the angle of attack was given.

Keywords: automaton modelling of wing aerodynamics, homogeneous structures with inputs, cellular automaton, lifting force.