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Euler方程的动力学通矢量分裂格式
引用本文:汤华中,戴嘉尊.Euler方程的动力学通矢量分裂格式[J].南京航空航天大学学报,1996,28(4):476-480.
作者姓名:汤华中  戴嘉尊
作者单位:南京航空航天大学理学院
摘    要:文中基于气体分子动力学理论,研究和发展了一类新型逆风差分格式——动力学通矢量分裂格式(KFVS),并论证了格式的逆风性质和L1稳定性。最后给出了高精度格式的构造,并就一维激波管问题作了数值试验,还与精确解作了比较,结果令人满意。

关 键 词:波尔兹曼方程  差分方法  欧拉方程  KFVS格式

Kinetic Flux Vector Splitting Schemes for Euler Equations
Tang Huazhong,Dai Jiazun.Kinetic Flux Vector Splitting Schemes for Euler Equations[J].Journal of Nanjing University of Aeronautics & Astronautics,1996,28(4):476-480.
Authors:Tang Huazhong  Dai Jiazun
Abstract:Based on the theory of molecular dynamics the authors have studied and developed a class of new type upwind schemes kinetic flux vector splitting (KFVS) schemes, whose L stability and upwinding are proved. Then, the construction of high accurate schemes are given. Finally, the present schemes are tested on 1 D shock tube problem, and the numerical results are compared with the exact solutions, and are satisfied.
Keywords:Boltzmann equations  difference methods  Euler equations  KFVS schemes
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