Stability analysis in the framework of fluid dynamics is often expressed in terms of a complex eigenvalue problem (EVP). The solution of this EVP describes underlying flow features and their stability characteristics. The main shortcoming of this approach is the high computational cost necessary to solve the EVP, limiting the applicability of this analysis to simple two‐dimensional configurations. Many efforts have been focused on overcoming this limitation. Reducing the computational domain to encompass only those regions of physical interest may help alleviate the computational cost. However, the accuracy of the eigenmodes recovered from a reduced region needs to be carefully assessed. In this work, an in‐depth analysis of the domain reduction (DR) strategy is presented, and an error estimation tool is provided. The applicability and limitations of this methodology are studied on the open‐cavity problem. Next, the error estimation tool is exploited in the transonic buffet phenomenon on a NACA 0012 profile, giving valuable recommendations for the best use of this methodology. Finally, the DR strategy has been applied to investigate the asymmetries induced by jet cooling of turbine blades.

中文翻译：

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复杂空气动力流稳定性分析的域约简策略

流体动力学框架中的稳定性分析通常以复杂的特征值问题（EVP）表示。此EVP的解决方案描述了基本的流量特征及其稳定性特征。这种方法的主要缺点是解决EVP所需的高计算成本，从而限制了该分析方法对简单二维配置的适用性。许多努力集中在克服这一限制上。减少计算范围以仅涵盖那些物理感兴趣的区域可能有助于减轻计算成本。但是，需要仔细评估从缩小区域恢复的本征模的准确性。在这项工作中，提出了对域缩减（DR）策略的深入分析，并提供了错误估计工具。研究了这种方法在开放腔问题上的适用性和局限性。接下来，在NACA 0012轮廓上的跨音速自助现象中利用了误差估计工具，为最佳利用此方法提供了有价值的建议。最后，DR策略已应用于研究由涡轮叶片的射流冷却引起的不对称性。