摘要
本文探讨了发展高精度格式的必要性,研究了高精度格式与网格以及熵增条件的关系,并发展了一种半离散化的空间为三阶精度的格式。从此半离散化的格式出发,可建立多步显式格式及隐式格式。模型问题的计算表明,该三阶精度的格式具有好的精度,且激波附近基本上没有波动。
In this paper, the importance of high order accurate difference scheme for solving gas dynamic equation is discussed. The relation of the scheme with the grid and entropy increase condition is investigated.The semi-discretized difference scheme with third order accuracy in space is developed.Based on this semi-discretized scheme, the mul-tistep explicit and the one step implicit scheme can be established. The results given by model problems show that the present scheme possesses high accuracy for the calculating of flowfields, and basically there is no any spurious oscillation near the shock wave.
出处
《空气动力学学报》
CSCD
北大核心
1993年第4期347-356,共10页
Acta Aerodynamica Sinica
基金
国家自然科学基金
关键词
TVD格式
ENO格式
气动方程
TVD scheme, Essentially Non-Oscillatory scheme. NND scheme. Euler equations.
