Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two- phase flows with variable fluid density

作者：Goudon, Thierry; Jin, Shi^*; Liu, Jian Guo; Yan, Bokai

来源：International Journal for Numerical Methods in Fluids, 2014, 75(2): 81-102.

DOI：10.1002/fld.3885

• fluid-particles flows
• hydrodynamic regimes
• asymptotic-preserving schemes
• kinetic-fluid model
• variable density incompressible flow

We are concerned with a coupled system describing the interaction between suspended particles and a dense fluid. The particles are modeled by a kinetic equation of Vlasov-Fokker-Planck type, and the fluid is described by the incompressible Navier-Stokes system, with variable density. The systems are coupled through drag forces. High friction regimes lead to a purely hydrodynamic description of the mixture. We design first and second order asymptotic-preserving schemes suited to such regimes. We extend the method introduced in [Goudon T, Jin S, Liu JG, Yan B. Journal of Computational Physics 2013; 246:145-164] to the case of variable density in compressible flow. We check the accuracy and the asymptotic-preserving property numerically. We set up a few numerical experiments to demonstrate the ability of the scheme in capturing intricate interactions between the two phases on a wide range of physical parameters and geometric situations.

• 出版日期2014-5-20
• 单位INRIA; 上海交通大学