论文标题
工程问题的不确定性量化方法的最新进展
Recent Advances in Uncertainty Quantification Methods for Engineering Problems
论文作者
论文摘要
在过去的几十年中，不确定性定量（UQ）方法已被广泛使用，以确保工程设计的鲁棒性。本章旨在详细介绍工程应用中使用的流行不确定性量化方法的最新进展。本章介绍了适用于工程应用的两种最流行的元模型方法（多项式混乱方法和高斯过程）。此外，在多个不确定性下，将UQ方法应用于工程测试问题。这里考虑的测试问题是在操作不确定性下的超音速喷嘴。对于确定性解决方案，使用开源计算流体动力学（CFD）求解器SU2。 UQ方法是在MATLAB中开发的，并与SU2进一步合并，以进行不确定性和敏感性估计。结果是根据输出量的平均值和标准偏差提出的。
In the last few decades, uncertainty quantification (UQ) methods have been used widely to ensure the robustness of engineering designs. This chapter aims to detail recent advances in popular uncertainty quantification methods used in engineering applications. This chapter describes the two most popular meta-modeling methods for uncertainty quantification suitable for engineering applications (Polynomial Chaos Method and Gaussian Process). Further, the UQ methods are applied to an engineering test problem under multiple uncertainties. The test problem considered here is a supersonic nozzle under operational uncertainties. For the deterministic solution, an open-source computational fluid dynamics (CFD) solver SU2 is used. The UQ methods are developed in Matlab and are further combined with SU2 for the uncertainty and sensitivity estimates. The results are presented in terms of the mean and standard deviation of the output quantities.
