基于多保真数据的高速旋转流场代理模型研究

Surrogate Modelling for High-speed Rotating Flow Fields Based on Multi-fidelity Data Fusion

  • 摘要: 高速旋转流场是稳定重同位素制备机械系统相关研究中的重要组成部分。由于该类机械系统含有大量设计参数,其设计空间呈现高度非线性和强耦合特征。为了合理设计和优化该类机械系统的性能指标,如仅依赖高保真的试验数据需要高昂的时间与经济成本。在工程领域的正向设计中,通常引入低保真的数值模拟数据来补充信息源。本研究对如何在工业场景少量高保真数据上构建从高维设计空间到低维性能指标,提出一种基于多保真数据的数据驱动方法。首先通过拉丁超立方试验设计方法,对其设计空间进行大规模均匀采样,求解数千低保真数值模拟样本;其后,以高维无量纲设计参数为特征,发展一种基于低保真数据的贝叶斯神经网络的深度学习模型。在此基础上,采用高斯过程回归方法将高保真数据与上述机器学习模型进行信息融合,最终形成一种基于多保真数据的代理模型。在特定稀疏工业数据集上,着重研究所提出建模方法,比较代理模型中不同超参数的影响。结果表明,该代理模型所预测的主要性能指标的绝对百分比偏差≤6%以内,远小于直接使用数值模拟的预测误差,在工程可接受误差范围之内,验证本方法可行。

     

    Abstract: High-speed rotating flow fields play a pivotal role in the mechanical systems used for stable heavy isotopes. The high dimensional design space of such complex rotating machinery is characterized by strong nonlinearity and substantial parameter coupling. To efficiently design the system and optimize its performance, it incurs considerable time and economic costs when relying solely on large volumes of high-fidelity experimental data. A common way to reduce the cost is by introducing low-fidelity numerical simulations as complementary information. To address the problem of constructing a mapping from a complex, high-dimensional design space to low-dimensional performance indicators under sparse experimental data, this study proposes a multi-fidelity information fusion framework. Firstly, we employ Latin hypercube sampling to uniformly explore the design space of a high-speed rotating flow system via low-fidelity simulations. Thousands of low-fidelity numerical simulations were performed, and the resulting high-dimensional, dimensionless design parameters were used to develop a Bayesian neural network based on low-fidelity datasets. Building upon this machine learnt model, a Gaussian process regression scheme was incorporated to establish a multi-fidelity surrogate model. Results demonstrate that the proposed surrogate achieves absolute mean percentage deviations within 6% for two primary performance metrics significantly lower than the prediction errors of numerical simulation and well within accepted engineering tolerances. These evidences confirm the effectiveness and applicability of the proposed multi-fidelity modeling framework for high speed rotating flow fields.

     

/

返回文章
返回