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One-dimensional continuously distributed sensors for thermophysical fields: Method of measurement, model, and numerical algorithm
Measurement ( IF 5.2 ) Pub Date : 2021-09-22 , DOI: 10.1016/j.measurement.2021.110082
Yu.K. Evdokimov 1 , E.S. Denisov 1 , L.Yu. Fadeeva 1
Affiliation  

Continuously distributed sensors (CDS) disclose a principally new way to provide space distribution measurements for different physical fields, such as temperature, velocity and light intensity fields. The design of one-dimensional CDS and corresponding pulse measurement method are proposed. The numerical algorithm implementing the pulse measurement method are obtained based on inverse operator problem reduced to the optimal control of parabolic partial differential equation coefficients. The algorithm has been numerically studied for two methods of regularization: Tikhonov and iterative. The results of the numerical simulations show that for the low level of the experimental noise (0.1–0.5%) the proposed algorithm is able to restore the space distribution of the measuring physical field with 0.6–4% accuracy. It is shown that appropriative choice of materials for microfilm CDS allows to obtain the electrical relaxation time within the range 10−2–10−5 s, within which the physical fields under measurement could be considered as quasistatic.



中文翻译:

用于热物理场的一维连续分布传感器:测量方法、模型和数值算法

连续分布传感器 (CDS) 公开了一种主要的新方法,可以为不同的物理场(例如温度、速度和光强度场)提供空间分布测量。提出了一维CDS的设计和相应的脉冲测量方法。将逆算子问题简化为抛物线偏微分方程系数的最优控制,得到实现脉搏测量法的数值算法。该算法已针对两种正则化方法进行了数值研究:Tikhonov 和迭代。数值模拟结果表明,对于低水平的实验噪声(0.1-0.5%),该算法能够以0.6-4%的精度恢复测量物理场的空间分布。-2 –10 -5 s,在此期间测量的物理场可以被认为是准静态的。

更新日期:2021-09-30
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