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粘性超声速绕体流动的有限谱法计算
引用本文:邱全辉,王健平.粘性超声速绕体流动的有限谱法计算[J].空气动力学学报,2004,22(1):73-79.
作者姓名:邱全辉  王健平
作者单位:北京大学环境学院,北京,100871
基金项目:国家杰出青年基金 (1 992 52 0 8)
摘    要:首先推导出粘性可压缩流体动力学基本方程组在广义坐标下矢通量分裂的一般形式,并将有限谱ENO格式用于求解超声速流动问题。通过典型算例,验证了这一格式的精度和稳定性。然后进行了圆柱和机翼超声速绕流的数值模拟,得到了与实验和其他计算相符的结果。这表明有限谱法不单具有精度高,应用灵活等多方面的优点,而且突破了传统谱方法全域性的局限,可以成功地应用到一般形状流场可压缩流动的数值计算中。

关 键 词:有限谱法  计算  粘性可压缩流体动力学  超音速流动  绕体流动
文章编号:0258-1825(2004)01-0073-07

Numerical simulation of viscous supersonic flows by finite spectral method
QIU Quan-Hui,WANG Jian-ping.Numerical simulation of viscous supersonic flows by finite spectral method[J].Acta Aerodynamica Sinica,2004,22(1):73-79.
Authors:QIU Quan-Hui  WANG Jian-ping
Abstract:The viscous compressible flows around a circular cylinder and an airfoil are simulated by using the finite spectral ENO scheme. The results are in good agreement with experimental and other numerical results. The study shows that finite spectral method is not only high order accurate, but also applicable to viscous compressible flow problems with general geometry. The flux splitting formulae in general coordinates are also presented.
Keywords:finite spectral method  spectral methods  supersonic flows
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