环形燃烧室热声非线性特征值问题的稳定性分析。部件II。不确定性量化
Stability analysis of thermo-acoustic nonlinear eigenproblems in annular combustors. Part II. Uncertainty quantification
摘要：
将Monte Carlo和主动子空间识别方法与一阶和二阶伴随灵敏度相结合，对两种环形燃烧室构型的热声稳定性进行（前向）不确定性量化分析。该方法用于评估风险因素，即，系统不稳定的概率。结果表明，伴随方法减少了非线性特征值问题计算的数量高达$\sim\mathcal{O}(M)$，尽可能多的蒙特卡罗样本。
英文摘要：
Monte Carlo and Active Subspace Identification methods are combined with first- and second-order adjoint sensitivities to perform (forward) uncertainty quantification analysis of the thermo-acoustic stability of two annular combustor configurations. This method is applied to evaluate the risk factor, i.e., the probability for the system to be unstable. It is shown that the adjoint approach reduces the number of nonlinear-eigenproblem calculations by up to $\sim\mathcal{O}(M)$, as many as the Monte Carlo samples.
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