PARABOLIZED STABILITY EQUATIONS
PARABOLIZED STABILITY EQUATIONS
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DOI：
10.1146/annurev.fluid.29.1.245
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发表时间：
1994-04
影响因子：
27.7
通讯作者：
T. Herbert
中科院分区：
文献类型：
--
作者：
T. Herbert
抛物化稳定性方程（PSE）为分析缓变剪切流（如边界层、射流和远尾流）中线性和非线性扰动的流向增长开辟了新的途径。增长机制包括代数瞬时增长和通过初级和高级不稳定性的指数增长。与传统线性稳定性方程的本征解相比，PSE解与Navier-Stokes方程的数值解一样包含非齐次初始和边界条件，但它们可以以适度的计算费用获得。PSE程序已经发展成为分析边界层流动基本机理的一种方便工具。然而，最重要的应用领域是在气动设计中使用PSE方法进行转捩分析。连同伴随线性问题，PSE方法承诺提高层流控制系统的设计能力。
Parabolized stability equations (PSE) have opened new avenues to the analysis of the streamwise growth of linear and nonlinear disturbances in slowly varying shear flows such as boundary layers, jets, and far wakes. Growth mechanisms include both algebraic transient growth and exponential growth through primary and higher instabilities. In contrast to the eigensolutions of traditional linear stability equations, PSE solutions incorporate inhomogeneous initial and boundary conditions as do numerical solutions of the Navier-Stokes equations, but they can be obtained at modest computational expense. PSE codes have developed into a convenient tool to analyze basic mechanisms in boundary-layer flows. The most important area of application, however, is the use of the PSE approach for transition analysis in aerodynamic design. Together with the adjoint linear problem, PSE methods promise improved design capabilities for laminar flow control systems.