Modal Stability Theory
Modal Stability Theory
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模态稳定性理论
DOI：
10.1115/1.4026604
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发表时间：
2014
影响因子：
14.3
通讯作者：
Juniper M
中科院分区：
文献类型：
--
作者：
Juniper M
本文对模态稳定性理论进行了综述。它涵盖了平行流的局部稳定性分析，包括时间稳定性、空间稳定性、相速度、群速度、时空稳定性、线性化的Navier-Stokes方程、Orr-Sommerfeld方程、Rayleigh方程、Briggs-Bers准则、Poiseuille流、自由剪切流和二次模态不稳定性。它还包括抛物化稳定性方程(PSE)、时间和空间双整体理论、二维特征值问题、三维特征值问题、谱配置方法和其他数值求解方法。为本文中描述的教程提供了计算机代码。这些教程涵盖了本文的主要主题，可以改编成研究代码的基础。
This article contains a review of modal stability theory. It covers local stability analysis of parallel flows including temporal stability, spatial stability, phase velocity, group velocity, spatio-temporal stability, the linearized Navier–Stokes equations, the Orr–Sommerfeld equation, the Rayleigh equation, the Briggs–Bers criterion, Poiseuille flow, free shear flows, and secondary modal instability. It also covers the parabolized stability equation (PSE), temporal and spatial biglobal theory, 2D eigenvalue problems, 3D eigenvalue problems, spectral collocation methods, and other numerical solution methods. Computer codes are provided for tutorials described in the article. These tutorials cover the main topics of the article and can be adapted to form the basis of research codes.