In this work, we propose asymptotic preserving numerical schemes for the bubbling and flowing regimes of particles immersed in a fluid treated by two-phase flow models. The description comprises compressible Euler equations for the dense phase (fluid) and a kinetic Fokker-Planck equation for the disperse phase (particles) coupled through friction terms. We show numerical simulations in the relevant case of gravity in the one-dimensional case demonstrating the overall behavior of the schemes. © 2008 Elsevier Inc. All rights reserved.
- Asymptotic preserving schemes
- Fluid/particle coupling
- Gravity/buoyancy dominated flows
- Pollutant modeling
- Splitting methods