一 种 鲁 棒 的 数 据 驱 动 不 确 定 性 量 化 方 法 及在 压 气 机 叶 栅 中 的 应 用

To solve the Uncertainty Quantification（UQ）problem of scarce measurement data and complex distribution in practical engineering，a novel data-driven UQ method is developed using preconditioned matrix. The effectiveness and accuracy of the developed method are validated by robustness analysis，reconstruction of orthogonal basis functions，and nonlinear test functions. Based on the measurement data of the blade leading-edge radius and incoming incidence，the influence of uncertain parameters on the aerodynamic performance of a high subsonic compressor cascade is quantitatively evaluated using the self-developed UQ method. Results show that，under the design and high incidence conditions，the probability that the actual total pressure loss coefficient is higher than the nominal value is 83. 6% and 69. 9%，respectively. The dispersion of total pressure loss at high incidence is about 2. 4 times of that at the design condition. The uncertainties of the leading-edge radius and incidence cause large fluctuations in the leading-edge flow process，which is the main factor leading to the overall performance degradation and performance dispersion of the cascade.