论文标题
基于最大熵原理的多尺度动力学方程的混合力矩方法
A hybrid moment method for multi-scale kinetic equations based on maximum entropy principle
论文作者
论文摘要
我们提出了一种在正规矩方法框架中的多尺度动力学方程的混合力矩方法[7]。在这种方法中，选择第四阶矩系统作为流体区域中的控制方程。从流体状态转移到动力学状态时，采用最大熵原理来重建动力学分布函数，以便可以彻底利用流体区域中的信息。此外，流体和动力学区域都只需要一组均匀的数值方案。数值测试显示了这种新混合方法的高效率。
We propose a hybrid moment method for the multi-scale kinetic equations in the framework of the regularized moment method [7]. In this method, the fourth order moment system is chosen as the governing equations in the fluid 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 show the high efficiency of this new hybrid method.
