Voronoi fluid particle model for Euler equations

We present a fluid particle model based on the Voronoi tessellation that allows one to represent an inviscid fluid in a Lagrangian description. The discrete model has all the required symmetries and structure of the continuum equations and can be understood as a linearly consistent discretization of Euler's equations. Although the model is purely inviscid, we observe that the probability distribution of the accelerations of the Voronoi fluid particles shows the presence of tails at large accelerations, what is compatible with experimental Lagrangian turbulence observations.