Modeling and Simulation of Thick Sprays through Coupling of a Finite Volume Euler Equation Solver and a Particle Method for a Disperse Phase

Abstract

We present here the principles of the coupling between an efficient numerical method for hyperbolic systems, namely the FVCF scheme (that is, a finite volume scheme used in the context of non conservative equations arising in multiphase flows), on the one hand; and a particle method for the Vlasov-Boltzmann equation of PIC-DSMC type (that is, in which macroscopic quantities are computed in each cell by adding quantities attached to the particles, and where integrals are computed thanks to a random sampling), on the other hand. Numerical results illustrating this coupling are shown for a problem involving a spray (droplets inside an underlying gas) in a pipe which is modeled by a 1D fluid-kinetic system.