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高精度差分求解气动方程的几个问题
引用本文:张涵信,贺国宏.高精度差分求解气动方程的几个问题[J].空气动力学学报,1993,11(4):347-356.
作者姓名:张涵信  贺国宏
作者单位:中国空气动力研究与发展中心,中国空气动力研究与发展中心,中国空气动力研究与发展中心 四川绵阳 621000,四川绵阳 621000,四川绵阳 621000
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。

关 键 词:TVD格式  ENO格式  气动方程

Some Important Problems for High order Accurate Difference Scheme Solving Gas Dynamic Equations
Zhang Hanxin He Guohong Zhang Lei.Some Important Problems for High order Accurate Difference Scheme Solving Gas Dynamic Equations[J].Acta Aerodynamica Sinica,1993,11(4):347-356.
Authors:Zhang Hanxin He Guohong Zhang Lei
Institution:China Aerodynamics Research and Development Center
Abstract: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.
Keywords:TVD scheme  Essentially Non-Oscillatory scheme  NND scheme  Euler equations  
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