【摘要】 王健平教授提出的有限谱方法是一种局域化谱方法,具有精度高、无相位差、应用灵活等特点,在以往的实践中取得了很大成功。本文在交错网格上对二维驱动方腔流问题进行计算,求解了二维不可压缩流动的涡流流函数方程。其中微分部分采用有限谱法进行处理,对流项的处理则应用了QUICK格式。本文计算了雷诺数为1000、5000、10000、20000等多种情况,将所得的结果进行分析,并将中线上的速度分别同已有的文献数据进行对比,从而,验证有限谱微分的正确性和其在实际应用中的可行性。更多还原

【Abstract】 Finite spectral method which is originated by Wang Jianping, is a new conception of local spectral method. It has many excellent properties, such as high resolution, properties of no phase error and flexibility etc. Finite spectral method has been successfully applied to several classical schemes. Finite spectral method combined with QUICK scheme to solve the cavity flows on staggered grid was presented. Either the first vortices or the second vortices are captured clearly even for high Renolds number. Good agreement was obtained between the present results and the benchmark solutions, which indicates the accurateness of finite spectral method.更多还原