计算激波的高精度数值方法

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基金项目: 国家攀登计划资助项目

Numerical Schemes With High Order of Accuracy for the Computation of Shock Waves

1.
Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China;
2.
Research and Development Center of Aerodynamics of China, Miangyang, Sichuan 621000, P. R. China

摘要: 在分析了数值解在激波附近产生非物理振荡的原因后,构造了一个三阶迎风紧致格式以及激波的捕捉技术,并且,提出一种称为准装配法的新的激波装配方法.一维流动的数值试验表明,新方法是非常令人满意的.
- 数值方法 /
- 激波计算 /
- 迎风紧致格式
Abstract: High order accurate scheme is highly desirable for flow computation with shocks. After analysis has been made for the reason of the generation of non-physical oscillations around the shock in numerical computations, a third order, upwind biased, shock capturing scheme was proposed. Also, a new shock fitting method, called pseudo shock fitting method, was suggested, which in principle can be with any order of accuracy. Test cases for one dimensional flows show that the new method is very satisfactory.
- numerical method /
- computation of shock waves /
- upwind compact scheme

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