A Hybrid Moment Method for Multi-scale Kinetic Equations Based on Maximum Entropy Principle.

We propose a hybrid method for the multi-scale kinetic equations in the framework of the hyperbolic moment method (Cai and Li in SIAM J Sci Comput 32(5):2875–2907, 2010). In this method, the fourth order moment system is chosen as the governing equations in the fluid region, while the hyperbolic moment system with arbitrary order is chosen as the governing equations in the kinetic region. When transiting from the fluid regime to the kinetic regime, the maximum entropy principle is adopted to reconstruct the kinetic distribution function, so that the information in the fluid region can be utilized thoroughly. Moreover, only one uniform set of numerical scheme is needed for both the fluid and kinetic regions. Numerical tests validate this new hybrid method. [ABSTRACT FROM AUTHOR]