Flow in a 2D duct with moving boundaries - vortex blob approach

In the paper we develop Random Vortex Blob method for the case of flows in periodic domains. It is shown how the formulation of the problem must be modified to account for the periodicity constraint. Properties of periodic vorticity particles are discussed. We also derive a rigorous method to satisfy the boundary conditions. Example computations concern the flow in an X-periodic duct with moving boundaries and varying in time pressure gradient.