The stochastic simulation of a viscous fluid flow past an airfoil – Part I

The viscous incompressible fluid flow past a given airfoil is considered. The vorticity field is noticed as random process. It is formed by the large number of randomicaly walking and advecting small vortices. The vortices are created on the boundary of the airfoil. The boundary integral equation determines their intensity. The asymptotic consistency of velocity field to the potential field allows to control the stability of process.