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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效双重迭代局部解法,以相同精度将特征值和特征函数同时得到。通过不可压平面 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值隐式单位移 Q Z算法获取了一个新的扰动特征值谱计算结果。
Based on the first-order modified form of the viscous incompressible perturbation equation, a high-precision symmetric compact differential discretization is achieved. A highly efficient double iterative local solution is given for the derived perturbed linear eigenvalue problem. The eigenvalue sum The eigenfunction gets at the same time. A detailed comparison of Poiseuille flow-time stability examples shows that the algorithm has good spectral resolution and weak grid dependency, and a new perturbation is obtained with implicit unit-shift Q Z algorithm of complex matrix generalized eigenvalue Eigenvalue calculation results.