Year: 2024
Type: article
Abstract: For fluid dynamics, it is undoubtedly very important to obtain and achieve the insights into the eigenvalue spectra of disturbances of flow fields. In this paper, the Arnoldi method is employed to numerically solve the eigenvalue spectra and eigenfunction of the spatial linear stability equation for shear flows. Specifically, four classical compressible and incompressible shear flows are numerically treated. This work obtains the spectra of their eigenvalues in spatial stability, and then analyzes the characteristics of continuous and discrete spectra. In addition, the eigenfunctions of each branch spectrum are solved and analyzed. The results indicate that compared to the temporal mode, there are more complex spectra of eigenvalues and more spectral branches in the spatial mode.
Authors: Feijun WANG, Zhizheng WU, Junbo LV, Yongming ZHANG, Jianhua LIU
Institution: Tianjin University
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4401498446