不可压扰动方程高精度对称紧致差分数值解法及应用

从粘性不可压扰动方程一阶改型形式出发，对其实现了高精度对称紧致差分离散，就导出的扰动线性特征值问题给出了一个高铲双重迭代局部解法，以相同精度将特征值和特征函数同时得到。通过不可平面Ｐｏｉｓｅｕｉｌｌｅ流时间稳定性算例详细对比显示了算法良好的谱分辨能力和较弱的网格依赖性，并结合复矩阵广义特征隐式移ＱＺ算法获取了一个 扰动特征值谱计算结果。

Numerical Calculation of Incompressible Disturbance Equations Using High-Order Symmetric Compact Schemes

The viscous incompressible linear disturbance equations are solved by using the high accuracy symmetric compact finite difference method.A high efficiency two step iteration algorithm is introduced to calculate the derived complex matrix generalized eigenvalue problem.The desired eigenvalues and eigenfunctions are obtained simultaneously with the same accuracy.The temporal stability of an incompressible plane Poiseuille flow is used as an example to demonstrate the applications of these numerical methods,and a result about the eigenvalue spectrum is given with the help of the implicit one step QZ generalized eigenvalue algorithm.