Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

Advertisement

Scientific Reports
  • View all journals
  • Search
  • My Account Login
  • Content Explore content
  • About the journal
  • Publish with us
  • Sign up for alerts
  • RSS feed
  1. nature
  2. scientific reports
  3. articles
  4. article
Effect of feature extraction on underwater moving body cavitation pressure reconstruction and prediction
Download PDF
Download PDF
  • Article
  • Open access
  • Published: 14 February 2026

Effect of feature extraction on underwater moving body cavitation pressure reconstruction and prediction

  • Yiming Qiang1,
  • Zhenmin He2,3,
  • Weizheng Chen2,
  • Li Tang2,3 &
  • …
  • Tianqi Wu2 

Scientific Reports , Article number:  (2026) Cite this article

  • 260 Accesses

  • Metrics details

We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Engineering
  • Mathematics and computing

Abstract

The analysis of cavitation pressure for high-speed underwater moving bodies is critical for hydrodynamic performance and stability. However, traditional methods relying on physical experiments or high-fidelity CFD simulations are computationally expensive and time-consuming, often resulting in small datasets that challenge data-driven approaches. This study aimed to evaluate efficient feature extraction techniques to overcome the limitations of small-sample scenarios. This paper systematically evaluated three feature extraction methods—Principal Component Analysis (PCA), Fast Independent Component Analysis (Fast ICA), and a customized 1-dimensional Convolutional Auto-encoder (Conv1D AE)—for processing cavitation pressure data. The evaluation was conducted through two experiments: the first assessed the ability of these methods to reconstruct the pressure evolution across the body surface in an unsupervised manner, while the second investigated their performance in predicting the peak pressure using a small set of labeled samples.The findings demonstrated a clear trade-off: Fast ICA exhibited the best performance in reconstructing the overall pressure evolution, followed closely by PCA, while the Conv1D AE showed limitations in capturing sharp pressure gradients. Conversely, for the critical task of peak pressure prediction from limited labeled data, the Conv1D AE model achieved a significant 10% increase in accuracy compared to the baseline model without feature extraction, with PCA providing a 3% improvement. Fast ICA, however, was less effective for this specific prediction task.These results underscore the effectiveness of tailored feature extraction in automating cavitation analysis. By reducing reliance on manual intervention and accelerating the extraction of key features like peak pressure, these methods offer a practical pathway to enhance the design and analysis cycle of underwater moving bodies. The study establishes a foundation for applying machine learning to small-sample fluid mechanics problems, with future work focused on optimizing network architectures for improved precision.

Similar content being viewed by others

A study on hybrid-architecture deep learning model for predicting pressure distribution in 2D airfoils

Article Open access 16 January 2025

Physics-informed machine learning with differentiable programming for heterogeneous underground reservoir pressure management

Article Open access 04 November 2022

Design and fabrication of a vigorous “cavitation-on-a-chip” device with a multiple microchannel configuration

Article Open access 02 June 2021

Data availability

Available from the corresponding author upon reasonable request.

References

  1. Pan, S. S. Modern research on cavitation mechanism. Adv. Mech. (4), 23. https://doi.org/10.6052/1000-0992-1979-4-J1979-034 (1979). (潘森森.空化机理的近代研究[J].力学进展, 1979 4.

  2. Pan, S. S., Peng X, Et al. Physical Mechanism of Cavitation [M]. Beijing: National Defense Industry Press, 2013. (潘森森, 彭晓星, 等 (Physical mechanism of cavitation[M]. 国防工业出版社, 2013).

  3. Zhang, D. X., et al. Optimization of underwater body’s shape. Adv. Mater. Res. 291–294. https://doi.org/10.4028/www.scientific.net/AMR.291-294.1856 (2011).

  4. Zhao, C. G., et al. An experimental study on characteristics of cavitation and ballistic of axisymmetric slender body underwater movement. J. Phys. Confer. Series, 656: 012175. (2015). https://doi.org/10.1088/1742-6596/656/1/012175

  5. LI, Y. & ZHANG, Y. The research of high-speed tunnel cavity image processing system[C]// 2011 International Conference on Electric Information and Control Engineering (ICEICE). (2011). https://doi.org/10.1109/ICEICE.2011.5778166. [Online]. (Accessed 2025-07-08).

  6. Zhang, X. W., Z, H., A, N., G, L., et al. A calculation method for supercavity shape based on the Logvinovich independence principle of the cavity section expansion. Acta Armamentarii, 30(3): 361–365. (张学伟, 张亮, 王聪, 等. 基于 Logvinovich 独立膨胀原理的超空泡形态计算方法[J]. 兵工学报, 2009, 30(3): 361–365) (2009).

  7. Chen, W. Q, Wang, B. S., Y. I. S., et al. A theoretical investigation on the maximum pressure of the unsteady cavity closure position. Chin. J. Theoret. Appl. Mech. 4(4): 701–708. (陈玮琪, 王宝寿, 易淑群, 等. 非定常空泡闭合区域最大压力的理论研究[J]. 力学学报, 2012, 44(4): 701–708.) (2012).

  8. Chen, H. A high-efficiency theoretical model of von Karman–Generalized Wagner model–Modified Logvinovich model for solving water-impacting problem of wedge. J. Mar. Sci. Eng. 12 (7), 1125. https://doi.org/10.3390/jmse12071125 (2024).

    Google Scholar 

  9. KIM H T et al. A numerical study of effects of body shape on cavity and drag of underwater vehicle[J]. J. Soc. Naval Architects Korea. 55 (3), 252–264. https://doi.org/10.3744/SNAK.2018.55.3.252 (2018).

    Google Scholar 

  10. Liu, H. et al. Numerical simulation of cavitating flow around a slender body with slip boundary condition. Sci. Chin. Phys. Mech. Astronomy, 59(2): 624611. (2016). https://doi.org/10.1007/s11433-015-5750-z. (刘辉, 李定迪, 薛玉红, 等. Numerical simulation of cavitating flow around a slender body with slip boundary condition[J]. 中国科学: 物理学 力学 天文学, 2016(2): 6.).

  11. LI, B. & Wang, Y. ICMMM. Flow mechanism and hydrodynamic characteristics of 3D cavity on the surface of the underwater vehicle. In Proceedings of the 2014 International Conference on Mechatronics, Materials and Manufacturing 2014. (2014).

  12. Huang, P. F., Sun, H. Q., Wang, J. G. et al. Numerical simulation of cavitation characteristics of underwater vehicle model. Ship Electron. Eng. 33(11): 140–143. (2013). https://doi.org/10.3969/j.issn.1627-9730.2013.11.023. (黄鹏飞, 孙鹤泉, 王继光, 等. 水下航行体模型空化特性的数值模拟[J]. 舰船电子工程, 2013, 33(11): 140–143.).

  13. Petitpas, F. et al. Modelling cavitating flow around underwater missiles. Int. J. Naval Archit. Ocean. Eng. 3 (4), 263–273. https://doi.org/10.2478/ijnaoe-2013-0070 (2011).

    Google Scholar 

  14. Xu, D. et al. A new method proposed for realizing human gait pattern recognition: inspirations for the application of sports and clinical gait analysis. Gait Posture. 107, 293–305. https://doi.org/10.1016/j.gaitpost.2023.10.019 (2024).

    Google Scholar 

  15. Huang, X., Cheng, C. & Zhang, X. B. Machine learning and numerical investigation on drag reduction of underwater serial multi-projectiles. Def. Technol. 18 (2), 230–238. https://doi.org/10.1016/j.dt.2020.12.002 (2022).

    Google Scholar 

  16. Kamali, H, A., P. A. S. A. N. D. I. D. E. H. F. A. R. D. M. Investigating the interaction parameters on ventilation supercavitation phenomena: experimental and numerical analysis with machine learning interpretation. Phys. Fluids. 35 (11), 113343. https://doi.org/10.1063/5.0172371 (2023).

    Google Scholar 

  17. Kamali, H. A., Erfanian, M. R. Characterization of ventilated supercavitation regimes using bayesian optimized random forest models[J]. Phys. Fluids, 37(1): (2025).

  18. Oneto, L. et al. Deep learning for cavitating marine propeller noise prediction at design stage. In 2020 International Joint Conference on Neural Networks (IJCNN). : 1–8. (2020). https://doi.org/10.1109/IJCNN48605.2020.9207003

  19. Wang, Z. et al. Data-driven insights into cavitation phenomena: from Spatiotemporal features to physical state transitions. Phys. Fluids, 36(9): (2024).

  20. Guang, W. et al. Reduced order data-driven analysis of cavitating flow over hydrofoil with machine learning. J. Mar. Sci. Eng. 12 (1), 148. https://doi.org/10.3390/jmse12010148 (2024).

    Google Scholar 

  21. Shahshahani, B. M., Landgrebe, D. A. The effect of unlabeled samples in reducing the small sample size problem and mitigating the Hughes phenomenon. IEEE Trans. Geosci. Remote Sens. 32 (5), 1087–1095. https://doi.org/10.1109/36.312897 (1994).

    Google Scholar 

  22. Abdi, H. & Williams, L. J., Principal component analysis. Wiley Interdisciplinary Reviews: Comput. Stat. 2 (4), 433–459. https://doi.org/10.1002/wics.101 (2010).

    Google Scholar 

  23. Xu, D. et al. Data-driven deep learning for predicting ligament fatigue failure risk mechanisms. Int. J. Mech. Sci. 301, 110519. https://doi.org/10.1016/j.ijmecsci.2025.110519 (2025).

    Google Scholar 

  24. Hyvärinen, A. & Hurri, J. HOYER P O. Independent Component Analysis (Springer, 2009).

  25. Girolami, M. Advances in Independent Component Analysis (Springer, 2000). https://doi.org/10.1007/978-1-4471-0443-8

  26. Goodfellow, I. J., Technical report: Multidimensional, downsampled convolution for autoencoders. Montréal: Université de Montréal, (2010).

  27. Phiphitphatpaisit, S., Surinta, O. Deep feature extraction technique based on Conv1D and LSTM network for food image recognition. In Proceedings of the … Conference details inferred from DOI source). 2021. DOI:10.14456/easr.2021.60.

Download references

Acknowledgements

The authors would like to thank National Key Laboratory of Hydrodynamics and Taihu laboratory of deepsea technological science for help and support related to this work.

Funding

Not applicable.

Author information

Authors and Affiliations

  1. 1Shanghai Jiaotong University, Shanghai, 200240, China

    Yiming Qiang

  2. Ship Scientific Research Center, Wuxi, 214082, China

    Zhenmin He, Weizheng Chen, Li Tang & Tianqi Wu

  3. National Key Laboratory of Hydrodynamics, Wuxi, 214082, China

    Zhenmin He & Li Tang

Authors
  1. Yiming Qiang
    View author publications

    Search author on:PubMed Google Scholar

  2. Zhenmin He
    View author publications

    Search author on:PubMed Google Scholar

  3. Weizheng Chen
    View author publications

    Search author on:PubMed Google Scholar

  4. Li Tang
    View author publications

    Search author on:PubMed Google Scholar

  5. Tianqi Wu
    View author publications

    Search author on:PubMed Google Scholar

Contributions

Q.Y.M. conducted feature extraction model, analyzed the results, and wrote the original draft; H.Z.M. prepared the CFD results; C.W.Z. edited the paper, T.L. validated the sample and results; W.T.Q supervised the design of neural network.

Corresponding author

Correspondence to Yiming Qiang.

Ethics declarations

Competing interests

The authors declare no competing interests.

Ethical approval and consent to participate

Not applicable.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Qiang, Y., He, Z., Chen, W. et al. Effect of feature extraction on underwater moving body cavitation pressure reconstruction and prediction. Sci Rep (2026). https://doi.org/10.1038/s41598-026-40012-9

Download citation

  • Received: 17 September 2025

  • Accepted: 10 February 2026

  • Published: 14 February 2026

  • DOI: https://doi.org/10.1038/s41598-026-40012-9

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Keywords

  • Conv1D auto-encoder
  • Small sample
  • Cavitation, fast ICA, PCA
Download PDF

Advertisement

Explore content

  • Research articles
  • News & Comment
  • Collections
  • Subjects
  • Follow us on Facebook
  • Follow us on X
  • Sign up for alerts
  • RSS feed

About the journal

  • About Scientific Reports
  • Contact
  • Journal policies
  • Guide to referees
  • Calls for Papers
  • Editor's Choice
  • Journal highlights
  • Open Access Fees and Funding

Publish with us

  • For authors
  • Language editing services
  • Open access funding
  • Submit manuscript

Search

Advanced search

Quick links

  • Explore articles by subject
  • Find a job
  • Guide to authors
  • Editorial policies

Scientific Reports (Sci Rep)

ISSN 2045-2322 (online)

nature.com sitemap

About Nature Portfolio

  • About us
  • Press releases
  • Press office
  • Contact us

Discover content

  • Journals A-Z
  • Articles by subject
  • protocols.io
  • Nature Index

Publishing policies

  • Nature portfolio policies
  • Open access

Author & Researcher services

  • Reprints & permissions
  • Research data
  • Language editing
  • Scientific editing
  • Nature Masterclasses
  • Research Solutions

Libraries & institutions

  • Librarian service & tools
  • Librarian portal
  • Open research
  • Recommend to library

Advertising & partnerships

  • Advertising
  • Partnerships & Services
  • Media kits
  • Branded content

Professional development

  • Nature Awards
  • Nature Careers
  • Nature Conferences

Regional websites

  • Nature Africa
  • Nature China
  • Nature India
  • Nature Japan
  • Nature Middle East
  • Privacy Policy
  • Use of cookies
  • Legal notice
  • Accessibility statement
  • Terms & Conditions
  • Your US state privacy rights
Springer Nature

© 2026 Springer Nature Limited

Nature Briefing AI and Robotics

Sign up for the Nature Briefing: AI and Robotics newsletter — what matters in AI and robotics research, free to your inbox weekly.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing: AI and Robotics