Аннотация:The Viscous Vortex Domains (VVD) method has been developed for numerically solving the 2D Navier-Stokes equations [1]. It is a vortex meshless method for flow simulation in Lagrangian coordinates. Among the well-known numerical schemes for the fluid flow simulation, the Diffusion Velocity method [2] is closest to ours. The both methods differ by formulas that are used for calculating the diffusion velocity. The formulas that are used in the VVD-method are well-founded and have no arbitrary parameters. The VVD method allows to simulate the vortices evolution more accurately than method suggested in [2], especially near surfaces. It properly describes the boundary layers, and allows calculating the friction force at the body surfaces. Fast algorithm of N-bodies in the VVD method enables to achieve high resolution in the boundary layer and to carry out computations for flows with high Reynolds numbers.
The VVD method has been applied for reproducing an effect, found by J. Taneda [3]. The effect is that Carman vortex street past a circular cylinder disappears, when it performs rotary oscillations at high frequency. Fig 1 shows comparison of experiment visualization [3] (on the left) and result of present work (on the right). Top half corresponds to the static cylinder case, and bottom ∎ oscillating.
