Hybrid computations with flux exchange

Abstract

We discuss a hybrid scheme that is based on flux exchange between a particle and a continuum system which reside in two slightly overlapping volumes in space. The scheme ensures conservation of mass, momentum and energy between a system of Lennard-Jones particles and a continuum description given by the compressible Navier-Stokes equations. An implementation in two dimensions employing the compressible Navier-Stokes equations to describe the continuum, and the Lennard-Jones potential to describe the particles, is discussed. The accuracy of the coupling scheme is tested successfully for the case of homogeneous flow and discussed for the more general case.