Thermodynamically consistent mesoscopic fluid particle model - art. no. 046115

We present a finite volume Lagrangian discretization of the continuum equat ions of hydrodynamics through the Voronoi tessellation. We then show that a slight modification of these discrete equations satisfies the first and se cond laws of thermodynamics. This is done by casting the model into the GEN ERIC structure, The GENERIC structure ensures thermodynamic consistency and allows for the introduction of correct thermal fluctuations in simple term s. In this way, we obtain a consistent discrete model for Lagrangian fluctu ating hydrodynamics. Simulation results are presented that show the validit y of the model for simulating hydrodynamic problems at mesoscopic scales.