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A Physics-informed and data-driven deep learning approach for wave propagation and its scattering characteristics

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Abstract

Understanding the propagation of waves and their scattering characteristics is critical in various scientific and engineering domains. While the majority of present work is based on numerical approaches, their high computational cost and discontinuity in the entire engineering workflow raise the need to resolve obstacles for fully utilizing the methods in an interactive and end-to-end manner. In this study, we propose a deep learning approach that can simulate the wave propagation and scattering phenomena precisely and efficiently. In particular, we present methods of incorporating physics-based knowledge into the deep learning framework to give the learning process strong inductive biases regarding wave propagation and scattering behaviors. We demonstrate that the proposed method can successfully produce physically valid wave field trajectories induced by random scattering objects. We show that the proposed physics-informed strategy exhibits significantly improved prediction results than purely data-driven methods through quantitative and qualitative evaluation from various angles. Subsequently, we assess the computational efficiency of the proposed method as a neural engine, showing that the proposed approach can significantly accelerate the scientific simulation process compared to the numerical method. Our study delivers the potential of the proposed physics-informed approach to be utilized for real-time, accurate, and interactive scientific analyses in a wide variety of engineering and application disciplines.

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Acknowledgements

The research of S.Y.L, K.P, and S.L was supported by the Institute of Civil Military Technology Cooperation funded by the Defense Acquisition Program Administration and Ministry of Trade, Industry and Energy of Korean government under Grant No. 19-CM-GU-01. The research of H.J.L was supported by Enhancement of Measurement Standards and Technologies in Physics funded by Korea Research Institute of Standards and Science (KRISS-2021-GP2021-0002). The authors would like to thank Dr. Wan-Ho Cho, Dr. In-Jee Jung and Dr. Jiho Chang for their helpful discussion concerning experiment and evaluation.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Pohang University of Science and Technology (POSTECH), 77, Cheongam-ro, Nam-gu, Pohang, Gyeongbuk, 37673, Republic of Korea

    Soo Young Lee, Keonhyeok Park & Seungchul Lee

  2. Acoustics, Ultrasound, and Vibration Research Group, Korea Research Institute of Standards and Science (KRISS), 267, Gajeong-ro, Yuseong-gu, Daejeon, 34113, Republic of Korea

    Hyung Jin Lee

  3. Center for Safety Measurements, Korea Research Institute of Standards and Science (KRISS), 267, Gajeong-ro, Yuseong-gu, Daejeon, 34113, Republic of Korea

    Choon-Su Park

  4. Institute for Convergence Research and Education in Advanced Technology, Yonsei University, 50, Yonsei-ro, Seodaemun-gu, Seoul, 03722, Republic of Korea

    Seungchul Lee

  5. Graduate School of Artificial Intelligence, Pohang University of Science and Technology (POSTECH), 77, Cheongam-ro, Nam-gu, Pohang, Gyeongbuk, 37673, Republic of Korea

    Seungchul Lee

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  1. Soo Young Lee
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Correspondence to Hyung Jin Lee or Seungchul Lee.

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Lee, S.Y., Park, CS., Park, K. et al. A Physics-informed and data-driven deep learning approach for wave propagation and its scattering characteristics. Engineering with Computers 39, 2609–2625 (2023). https://doi.org/10.1007/s00366-022-01640-7

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