中国物理B ›› 2021, Vol. 30 ›› Issue (3): 30203-.doi: 10.1088/1674-1056/abc2b6

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  • 收稿日期:2020-08-08 修回日期:2020-09-29 接受日期:2020-10-20 出版日期:2021-02-22 发布日期:2021-03-05

Model predictive inverse method for recovering boundary conditions of two-dimensional ablation

Guang-Jun Wang(王广军)1,2, Ze-Hong Chen(陈泽弘)1, Guang-Xiang Zhang(章广祥)1, and Hong Chen(陈红)1,2,†   

  1. 1 School of Energy and Power Engineering, Chongqing University, Chongqing 400044, China; 2 Key Laboratory of Low-grade Energy Utilization Technologies and Systems, Ministry of Education, Chongqing University, Chongqing 400044, China
  • Received:2020-08-08 Revised:2020-09-29 Accepted:2020-10-20 Online:2021-02-22 Published:2021-03-05
  • Contact: †Corresponding author. E-mail: chenh@cqu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 51876010 and 51676019).

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Abstract: A model predictive inverse method (MPIM) is presented to estimate the time-and space-dependent heat flux on the ablated boundary and the ablation velocity of the two-dimensional ablation system. For the method, first of all, the relationship between the heat flux and the temperatures of the measurement points inside the ablation material is established by the predictive model based on an influence relationship matrix. Meanwhile, the estimation task is formulated as an inverse heat transfer problem (IHTP) with consideration of ablation, which is described by an objective function of the temperatures at the measurement point. Then, the rolling optimization is used to solve the IHTP to online estimate the unknown heat flux on the ablated boundary. Furthermore, the movement law of the ablated boundary is reconstructed according to the estimation of the boundary heat flux. The effects of the temperature measurement errors, the number of future time steps, and the arrangement of the measurement points on the estimation results are analyzed in numerical experiments. On the basis of the numerical results, the effectiveness of the presented method is clarified.

Key words: ablation, heat transfer, model predictive inverse method (MPIM), boundary reconstruction

中图分类号:  (Inverse problems)

  • 02.30.Zz
44.10.+i (Heat conduction) 43.20.Ye (Measurement methods and instrumentation) 64.70.-p (Specific phase transitions)