辐射流体力学的压力解耦BGK分子动理学方法(英文)  

A Pressure Decoupled BGK Model for the Equations of Radiation Hydrodynamics

作　　者：孙文俊[1] 倪国喜[1] 

机构地区：[1]北京应用物理与计算数学研究所,北京100088

出　　处：《南京师大学报（自然科学版）》2013年第4期5-13,共9页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：Supported by the National Natural Science Foundation of China(11001026,11371068,10971016,40890154,91130020)

摘　　要：本文通过一个物质压力和辐射压力解耦的分子动理学BGK模型,设计了辐射流体力学方程的分子动理学数值格式.该格式有两方面的优点,一方面,由于BGK模型中流体压力和辐射压力的解耦,因而物质压与辐射压的作用可以解耦,微观方程与宏观方程间的关系变得更为简单;另一方面,利用该BGK模型,数值格式的构造与原有方法相比也大大简化.对不带扩散项的高维辐射流体力学方程组给出了我们构造的二阶BGK分子动理学格式.一维和高维的数值算例显示了新格式的性能.This paper concerns a kinetic scheme for the equations of radiation hydrodynamics by constructing a pressure decoupled BGK model,in which hydrodynamic and radiation pressures are decoupled. The merits have two aspects, on one hand, with this decoupled model, the actions of material and radiation can be decoupled easily, a more clear relation between the macroscopic equation and microscopic equation can be obtained, on the other hand, the construction of the scheme based on this model can be simplified greatly. A second order BGK scheme for the equations of multidimensional radiation hydrodynamics （RHE） in zero diffusion limit is also presented. Several one and two dimensional numerical examples demonstrate the performance of the new scheme.

关 键 词：BGK模型 辐射流体力学 无扩散 二阶BGK格式 

分 类 号：O241.8[理学—计算数学]