Modeling the stabilization process on the boundary conditions for the quasi-two-dimensional fluid with the four vortex structure

For two-dimensional Navier–Stokes equations approximately describes the motion of a viscous incompressible fluid in a rectangular cell under the external electro-magnetic force and having for the selected values of the parameters the unstable quasi-stationary solution with the four vortex structure the problem of numerical stabilization on the boundary conditions is considered. Mathematical formulation of this problem, method of solution and numerical results are presented.