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A numerical mesh-free method of dipole domains is used for simulation of a butterfly flapping model. This method is based on the representation of a vortex field by the set of dipole particles. The vector function D describes density of dipole moments in accordanse with Navier-Stokes or Euler equations. The butterfly model consists of two flat plates with a common edge performing harmonic oscillations in two planes. New mechanism of the thrust performing is proposed.