Euler方程的动力学通矢量分裂格式  

Kinetic Flux Vector Splitting Schemes for Euler Equations

作　　者：汤华中[1] 戴嘉尊[1] 

机构地区：[1]南京航空航天大学理学院

出　　处：《南京航空航天大学学报》1996年第4期476-480,共5页Journal of Nanjing University of Aeronautics & Astronautics

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。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.

关 键 词：差分方法 欧拉方程 KFVS格式 

分 类 号：O241.35[理学—计算数学]