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

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

来源：Journal of Computational Physics, 2013, 246: 145-164.

DOI：10.1016/j.jcp.2013.03.038

• Fluid-particles flows
• Hydrodynamic regimes
• Asymptotic preserving schemes
• Kinetic-fluid model
• Two-phase flow

We consider a system coupling the incompressible Navier-Stokes equations to the Vlasov-Fokker-Planck equation. Such a problem arises in the description of particulate flows. We design a numerical scheme to simulate the behavior of the system. This scheme is asymptotic-preserving, thus efficient in both the kinetic and hydrodynamic regimes. It has a numerical stability condition controlled by the non-stiff convection operator, with an implicit treatment of the stiff drag term and the Fokker-Planck operator. Yet, consistent to a standard asymptotic-preserving Fokker-Planck solver or an incompressible Navier-Stokes solver, only the conjugate-gradient method and fast Poisson and Helmholtz solvers are needed. Numerical experiments are presented to demonstrate the accuracy and asymptotic behavior of the scheme, with several interesting applications.

• 出版日期2013-8-1
• 单位上海交通大学