Stabilization of a Linearized Navier-Stokes Solver for Turbomachinery Aeroelasticity
Stabilization of a Linearized Navier-Stokes Solver for Turbomachinery Aeroelasticity
复制标题
涡轮机械气动弹性线性纳维-斯托克斯求解器的稳定性
DOI：
10.1007/978-3-642-59334-5_50
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发表时间：
2003
影响因子：
1.9
通讯作者：
M. Giles
中科院分区：
文献类型：
--
作者：
M. Campobasso;M. Giles
涡轮机械气动弹性的线性分析依赖于小非定常假设，需要求解非线性定常流动方程和线性非定常流动方程。分析的目的是计算一个复杂的流动解，它表示非定常流的振幅和相位对于感兴趣的非定常频率。线性调和Euler/Navier-Stokes解的求解过程通常包含一个预置的不动点迭代，在某些情况下可能变得数值不稳定。本文总结了递推投影法和广义最小残差法在稳定问题中的应用，并给出了这两种方法的实际应用。
The linear analysis of turbomachinery aeroelasticity relies on the assumption of small level of unsteadiness and requires the solution of both the nonlinear steady and the linear unsteady flow equations. The objective of the analysis is to compute a complex flow solution which represents the amplitude and phase of the unsteady flow for the frequency of unsteadiness of interest. The solution procedure of the linear harmonic Euler/Navier-Stokes solver often consists of a preconditioned fixed-point iteration which in some circumstances may become numerically unstable. The paper summarizes the use of the Recursive Projection Method and the Generalized Minimum Residuals algorithm to provide stabilization and presents a realistic application of both approaches.