Nonlinear inverse heat conduction: Digitally filtered space marching with phase-plane and cross-correlation analyses
Nonlinear inverse heat conduction: Digitally filtered space marching with phase-plane and cross-correlation analyses
复制标题
DOI：
10.1080/10407790.2017.1347004
复制
发表时间：
2017-07
期刊：
影响因子：
--
通讯作者：
Hongchu Chen;J. Frankel;M. Keyhani
中科院分区：
文献类型：
--
作者：
Hongchu Chen;J. Frankel;M. Keyhani
摘要：本文利用相平面和互相关分析的概念来估计非线性空间推进逆热传导法所需的最优正则化参数。该方法的正则化参数基于用于深度温度数据预处理的低通高斯数字滤波器的截止频率。模拟使用了两个代表物理实验的深度热电偶。数值结果表明，在截止频率的频谱上从预测空间中提取出最佳预测，具有较高的鲁棒性。讨论了相平面和互相关分析的可行性和有效性。
ABSTRACT This paper utilizes concepts extracted from phase-plane and cross-correlation analyses for estimating the optimal regularization parameter required by a nonlinear space marching inverse heat conduction method. The regularization parameter for this approach is based on the cut-off frequency used in a low-pass Gauss digital filter for preprocessing the in-depth temperature data. The simulation uses two in-depth thermocouples which are representative of a physical experiment. Numerical results indicate a high level of robustness as the best prediction is extracted from the prediction space over the spectrum of cut-off frequencies. The feasibility and effectiveness of phase-plane and cross-correlation analyses are discussed.