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Data-driven discovery of governing equations for transient heat transfer analysis

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Abstract

With the development of automatic measurement and data storage, vast quantities of data can be recorded and analyzed for heat transfer processes, which provides an opportunity to discover the transient heat transfer governing laws from the data. In this study, a machine learning-based sequential threshold ridge regression (STRidge) approach is applied to extract partial differential equations (PDEs) and tested on the heat conduction equation and conductive–convective heat transfer equation subjected to different boundary conditions, data volumes, and noise levels. Moreover, we studied the learning of governing equation of nonlinear transient heat transfer and used the improved STRidge with genetic algorithm to learn PDE with incomplete candidate library. The results showcase highly accurate identification of governing equations for heat transfer. And our results reveal the vast potential of the data-driven method in complex geothermal problems.

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The data used to support the findings of this study are available from the corresponding author upon request.

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Acknowledgments

This research work is funded by the National Natural Science Foundation of China (No. 52074251 and No. 92058211), the Fundamental Research Funds for the Central Universities (No. 202012003), and 111 project (No. B20048).

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Authors and Affiliations

  1. Frontiers Science Center for Deep Ocean Multispheres and Earth System, Key Lab of Submarine Geosciences and Prospecting Techniques, MOE and College of Marine Geosciences, Ocean University of China, Qingdao, 266100, China

    Guodong Jin, Huilin Xing, Rongxin Zhang, Zhiwei Guo & Junbiao Liu

  2. Pilot National Laboratory for Marine Science and Technology (Qingdao), Qingdao, 266237, China

    Guodong Jin & Huilin Xing

  3. International Center for Submarine Geosciences and Geoengineering Computing (iGeoComp), Ocean University of China, Qingdao, 266100, China

    Guodong Jin, Huilin Xing, Rongxin Zhang, Zhiwei Guo & Junbiao Liu

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  1. Guodong Jin
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  2. Huilin Xing
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  3. Rongxin Zhang
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  4. Zhiwei Guo
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  5. Junbiao Liu
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Correspondence to Huilin Xing.

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Jin, G., Xing, H., Zhang, R. et al. Data-driven discovery of governing equations for transient heat transfer analysis. Comput Geosci 26, 613–631 (2022). https://doi.org/10.1007/s10596-022-10145-7

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  • DOI: https://doi.org/10.1007/s10596-022-10145-7

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