圆管O-S方程的Chebyshev多项式方法

Chebyshev Polynomial Method in Solving the Stability O S Equation of Pipe Flow

采用一般形式的Ｃｈｅｂｙｓｈｅｖ多项式展开方法，对圆管Ｐｏｉｓｅｕｉｌｅ流的Ｏ－Ｓ方程进行数值模拟．发现所有特征值的虚部都小于零，因此，验证圆管Ｐｏｉｓｅｕｉｌｅ流对于轴对称的小扰动来说是线性稳定的，结果还表明应用Ｃｈｅｂｙｓｈｅｖ多项式在计算结果精度方面有较大的优越性．

The O S equation is solved numerically for pipe Poiseuille flow by using the Chebyshev polynomial method. All the eigenvalues are proved to be negative and it is shown that the circular Poiseuille flow is stable with axisymmetric infinitesimal distrubances. The numerical results are of high accuracy.