Effects of Flow Instabilities on the Linear Analysis of Turbomachinery Aeroelasticity
Effects of Flow Instabilities on the Linear Analysis of Turbomachinery Aeroelasticity
复制标题
流动不稳定性对涡轮机械气动弹性线性分析的影响
DOI：
10.2514/2.6106
复制
发表时间：
2002
影响因子：
1.9
通讯作者：
Michael B. Giles
中科院分区：
文献类型：
--
作者：
M. Campobasso;Michael B. Giles
涡轮机械气动弹性的线性分析是基于围绕平均流场的非定常流动方程的线性化，这可以通过非线性定常求解器来确定。非定常周期流动可以分解为谐波和，每个谐波都可以通过求解一组线性化方程来独立计算。该分析每次只考虑一个特定的非定常频率，目的是计算一个表示非定常流幅值和相位的复杂流动解。HYDRA代码组的非线性稳态和线性调和Euler/Navier-Stokes解的求解过程都是一个预置不动点迭代。本文记录了一些涡轮机械测试用例在求解线性谐波方程时遇到的数值不稳定性，强调了它们的物理根源，并总结了一种针对线性代码稳定化的GMRES算法的实现。给出的结果包括二维涡轮截面和民用发动机风扇的颤振分析。
The linear analysis of turbomachinery aeroelasticity is based on the linearization of the unsteady flow equations around the mean flow field, which can be determined by a nonlinear steady solver. The unsteady periodic flow can be decomposed into a sum of harmonics, each of which can be computed independently by solving a set of linearized equations. The analysis considers just one particular frequency of unsteadiness at a time, and the objective is to compute a complex flow solution that represents the amplitude and phase of the unsteady flow. The solution procedure of both the nonlinear steady and the linear harmonic Euler/Navier-Stokes solvers of the HYDRA suite of codes consists of a preconditioned fixed-point iteration. The numerical instabilities encountered while solving the linear harmonic equations for some turbomachinery test cases are documented, their physical origin highlighted, and the implementation of a GMRES algorithm aiming at the stabilization of the linear code summarized. Presented results include the flutter analysis of a two-dimensional turbine section and a civil engine fan.