A hybrid kinetic/fluid model for solving the gas dynamics Boltzmann-BGK equation
Our purpose is to derive a hybrid model for particle systems which combines a kinetic description of the fast particles with a fluid description of the thermal ones. In the present work, fast particles will be described through a collisional kinetic equation of Boltzmann-BGK type while thermal particles will be modeled by means of a system of Euler type equations. Then, we construct a numerical scheme for this model. This scheme satisfies exact conservation properties. We validate the approach by presenting various numerical tests. (C) 2004 Elsevier Inc. All rights reserved.
numerical schemes bgk equation euler equations entropy minimization principle kinetic-hydrodynamic coupling