论文标题
不确定性定量应用于跨气隧道流入不均匀性的传播
Uncertainty Quantification Applied to the Propagation of a Transonic Wind Tunnel Inflow Inhomogeneities
论文作者
论文摘要
风洞中与实验流入相关的不确定性会影响数值模拟对感兴趣流的预测。我们使用不确定性定量评估了这种影响。开发了一种方法,并应用于通过安装在跨性别S3CH ONERA中尺度设施中的圆柱体产生的阻力的模拟。流入不确定性是由于沉降室中流量不完善的知识和可变性而产生的。它通过数值伴侣设置中的入口边界条件考虑在内,并通过使用热线耙测量流入进行实验评估。输入不确定性的传播通过实验的二维命令携带\ arter {out}。开发了多项式替代模型,以推断与圆柱体阻力相关的不确定性。在观察高斯输入之后,随机模型的参数以两种方式构建,首先是基于高斯 - 甲矿石正交规则的投影方法,然后基于压缩感应的基于稀疏的回归方法。后者大大减少了确定性数值模拟的数量。阻力受流入的中心影响最大,但总体不确定性仍然很低。
The uncertainty associated with the experimental inflow in a wind tunnel affects the prediction of the flow of interest by numerical simulations. We evaluate this impact using uncertainty quantification. A method is developed and applied to the simulation of the drag generated by the flow past a cylinder installed in the transonic S3Ch ONERA mid-scale facility. The inflow uncertainty results from the imperfect knowledge and variability of the flow in the settling chamber. It is taken into account via the inlet boundary condition in the numerical companion setup and evaluated experimentally by measuring the inflow using a hot-wire rake. The propagation of the input uncertainties is carried \alert{out} through a two-dimensional RANS model of the experiment. A polynomial surrogate model is developed to infer the uncertainty associated with the drag of the cylinder. Following observations of Gaussian inputs, the parameters of the stochastic model are constructed in two ways, first through a projection approach, based on the Gauss-Hermite quadrature rule, and then using a sparsity based regression approach, based on compressed sensing. The latter drastically reduces the number of deterministic numerical simulations. The drag is most influenced by the central part of the inflow but the overall uncertainty remains low.