摘要
提出一种快速准确求解 Orr- Som merfeld(O- S)方程的中性曲线和临界雷诺数 Recr的方法。在求解过程中 ,先分析 a0 ,cr0 的范围 ,利用网格自适应自动搜索 a0 ,cr0 ,采用三次样条函数计算并迭代到一定精度从而获得雷诺数 Re与波数 a及波速 cr 的关系曲线 ,克服了通常求解中性曲线时 ,要预估每一点的 a,cr的不足。算例表明 ,本方法计算速度快 ,结果准确 ,花较少的机时就能计算出与谱方法精度相当的临界 Recr。
A rapid and effective method for solving Orr Sommerfeld equation′s neutral stability curve is presented. By mesh self adaptability, wave number a 0 and wave velocity c r0 are automatically found. With a 0,c r0 , the relation curve of Reynolds number Re , wave number a and the relation curve of Reynolds number Re , wave velocity c are made by using a cubic spline function, which avoided to manually estimate a,c r of every point on the neutral curve and is followed by iteration refine. From the calculation results, the rapidity and the effectiveness of the new method are obvious.
出处
《南京航空航天大学学报》
CAS
CSCD
北大核心
2000年第4期473-477,共5页
Journal of Nanjing University of Aeronautics & Astronautics
关键词
流动稳定性
中性曲线
临界雷诺数
O-S方程
flow stability
neutral curve
critical Reynolds number
mesh self adaptability
