仅凭下游湍流信号,就能100%识别上游孔口形状。
Upstream flow geometries can be uniquely learnt from single-point turbulence signatures
- 用随机森林分析湍流时间序列的不变量特征
- 25种相似孔口形状识别准确率100%
- 适合流体系统诊断与无损检测场景
我们验证了一个假设:突然收缩后近场湍流的微观时间结构中包含上游障碍物形状的可识别信息。在不同形状的孔口下游,采集一组空间稀疏的速度时间序列数据,并基于这些序列导出的不变量向量训练随机森林多分类模型。通过测试25种较相似的孔口形状,将模型推向极限。结果表明,算法实现了100%准确率和100%精确度。这一成果得益于不同孔口流动下湍流结构的下游时间演化具有唯一性,以及随机森林对湍流微结构中细微差异的识别能力。我们还通过不变量信息熵排序,解释了背后的流动物理机制,发现时间序列的自相关系数对孔口形状最敏感,最具信息量。无需物理拆卸即可识别系统几何变化,为流量调控与系统辨识带来巨大潜力。该方法还可推广至其他领域,即利用随机森林对时间序列不变量向量进行分类。
原文摘要 · Abstract (English)
We test the hypothesis that the microscopic temporal structure of near-field turbulence downstream of a sudden contraction contains geometry-identifiable information pertaining to the shape of the upstream obstruction. We measure a set of spatially sparse velocity time-series data downstream of differently-shaped orifices. We then train random forest multiclass classifier models on a vector of invariants derived from this time-series. We test the above hypothesis with 25 somewhat similar orifice shapes to push the model to its extreme limits. Remarkably, the algorithm was able to identify the orifice shape with 100% accuracy and 100% precision. This outcome is enabled by the uniqueness in the downstream temporal evolution of turbulence structures in the flow past orifices, combined with the random forests' ability to learn subtle yet discerning features in the turbulence microstructure. We are also able to explain the underlying flow physics that enables such classification by listing the invariant measures in the order of increasing information entropy. We show that the temporal autocorrelation coefficients of the time-series are most sensitive to orifice shape and are therefore informative. The ability to identify changes in system geometry without the need for physical disassembly offers tremendous potential for flow control and system identification. Furthermore, the proposed approach could potentially have significant applications in other unrelated fields as well, by deploying the core methodology of training random forest classifiers on vectors of invariant measures obtained from time-series data.
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