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

Nature Communications
  • 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. nature communications
  3. articles
  4. article
Reconstructing fine-scale 3D wind fields with terrain-informed machine learning
Download PDF
Download PDF
  • Article
  • Open access
  • Published: 09 March 2026

Reconstructing fine-scale 3D wind fields with terrain-informed machine learning

  • Chensen Lin  ORCID: orcid.org/0000-0003-2662-11151 na1,
  • Ruian Tie1,2 na1,
  • Shihong Yi1,
  • Dongqing Liu3,
  • Xiaohui Zhong1,4,
  • Zixin Hu1 &
  • …
  • Hao Li  ORCID: orcid.org/0000-0001-6197-06741,2,4,5 

Nature Communications , Article number:  (2026) Cite this article

  • 7815 Accesses

  • 11 Altmetric

  • 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

  • Climate sciences
  • Computational science

Abstract

Fine-scale near-surface wind field prediction is essential for a wide range of applications. However, most operational and AI-based weather models operate at kilometer-scale resolution, where terrain-induced wind features such as slope jets, flow deflection, and recirculation are systematically averaged out. Here we introduce FuXi-CFD, a machine learning-based framework designed to generate detailed three-dimensional (3D) near-surface wind fields at 30-meter horizontal resolution, using only coarse-resolution atmospheric inputs and high-resolution terrain information. The model is trained on a large-scale dataset generated via computational fluid dynamics (CFD), encompassing a wide range of terrain types and inflow conditions. Although relying only on horizontal wind inputs, FuXi-CFD infers the full 3D wind fields—including latent variables such as vertical velocity and turbulence-related features. It achieves CFD-comparable accuracy while reducing inference time from hours to seconds. Notably, the model also generalizes well to real-world conditions, as demonstrated by consistent performance against independent wind-tower observations. This capability enables real-time wind field reconstruction for terrain-sensitive applications such as wind turbine siting, power forecasting, and wildfire spread modeling.

Similar content being viewed by others

Super-resolution wind mapping with deep learning for scalable renewable energy planning

Article Open access 11 December 2025

A deep learning approach for improving spatiotemporal resolution of numerical weather prediction forecasts

Article Open access 25 September 2025

WindSeer: real-time volumetric wind prediction over complex terrain aboard a small uncrewed aerial vehicle

Article Open access 25 April 2024

Data availability

The FuXi-CFD dataset generated in this study is publicly available at Zenodo (https://doi.org/10.5281/zenodo.18770845). All data necessary to reproduce the results reported in this paper are publicly available.

Code availability

The inference code and pre-trained model weights used in this study are publicly available at Zenodo (https://doi.org/10.5281/zenodo.18770845).

References

  1. Barthelmie, R. J. & Pryor, S. C. Automated wind turbine wake characterization in complex terrain. Atmos. Meas. Tech. 12, 3463–3484 (2019).

    Google Scholar 

  2. Pan, Y. & Archer, C. L. A hybrid wind-farm parametrization for mesoscale and climate models. Bound. Layer. Meteorol. 168, 469–495 (2018).

    Google Scholar 

  3. Floors, R., Vincent, C. L., Gryning, S.-E., Peña, A. & Batchvarova, E. The wind profile in the coastal boundary layer: wind lidar measurements and numerical modelling. Bound. Layer. Meteorol. 147, 469–491 (2013).

    Google Scholar 

  4. Linn, R., Winterkamp, J., Edminster, C., Colman, J. J. & Smith, W. S. Coupled influences of topography and wind on wildland fire behaviour. Int. J. Wildland Fire 16, 183–195 (2007).

    Google Scholar 

  5. Veers, P. et al. Grand challenges in the science of wind energy. Science 366, eaau2027 (2019).

    Google Scholar 

  6. Clifton, A., Barber, S., Stökl, A., Frank, H. & Karlsson, T. Research challenges and needs for the deployment of wind energy in hilly and mountainous regions. Wind Energy Sci. 7, 2231–2254 (2022).

    Google Scholar 

  7. He, Y., Chan, P. & Li, Q. Wind characteristics over different terrains. J. Wind Eng. Ind. Aerodyn. 120, 51–69 (2013).

    Google Scholar 

  8. Haiden, T. et al. Evaluation of ecmwf forecasts, including the 2018 upgrade. Tech. Rep. ECMWF Technical Memorandum 831. (European Centre for Medium-Range Weather Forecasts, Reading, UK, 2018).

  9. Harris, L., Chen, X., Putman, W., Zhou, L. & Chen, J.-H. A scientific description of the gfdl finite-volume cubed-sphere dynamical core. NOAA Tech. Memo. OAR GFDL 1,109 (2021).

  10. Chen, D. et al. New generation of multi-scale NWP system (GRAPES): General scientific design. Chin. Sci. Bull. 53, 3433–3445 (2008).

    Google Scholar 

  11. Lam, R. et al. Learning skillful medium-range global weather forecasting. Science 382, 1416–1421 (2023).

    Google Scholar 

  12. Pathak, J. et al. Fourcastnet: a global data-driven high-resolution weather model using adaptive Fourier neural operators. Preprint at https://doi.org/10.48550/arXiv.2202.11214 (2022).

  13. Bi, K. et al. Accurate medium-range global weather forecasting with 3d neural networks. Nature 619, 533–538 (2023).

    Google Scholar 

  14. Chen, L. et al. Fuxi: a cascade machine learning forecasting system for 15-day global weather forecast. npj Clim. Atmos. Sci. 6, 190 (2023).

    Google Scholar 

  15. Chen, L. et al. A machine learning model that outperforms conventional global subseasonal forecast models. Nat. Commun. 15, 6425 (2024).

    Google Scholar 

  16. Espeholt, L. et al. Deep learning for twelve hour precipitation forecasts. Nat. Commun. 13, 1–10 (2022).

    Google Scholar 

  17. Price, I. et al. Gencast: diffusion-based ensemble forecasting for medium-range weather. Preprint at https://doi.org/10.48550/arXiv.2312.15796 (2023).

  18. Hersbach, H. et al. The era5 global reanalysis. Q. J. R. Meteorol. Soc. 146, 1999–2049 (2020).

    Google Scholar 

  19. Schoof, J. T. Statistical downscaling in climatology. Geogr. Compass 7, 249–265 (2013).

    Google Scholar 

  20. Martinez-García, F. P., Contreras-de Villar, A. & Muñoz-Perez, J. J. Review of wind models at a local scale: advantages and disadvantages. J. Mar. Sci. Eng. 9, 318 (2021).

    Google Scholar 

  21. Soares, P. M. et al. WRF high-resolution dynamical downscaling of era-interim for Portugal. Clim. Dyn. 39, 2497–2522 (2012).

    Google Scholar 

  22. Fernández-González, S. et al. Sensitivity analysis of the wrf model: Wind-resource assessment for complex terrain. J. Appl. Meteorol. Climatol. 57, 733–753 (2018).

    Google Scholar 

  23. Goger, B., Rotach, M. W., Gohm, A., Stiperski, I. & Fuhrer, O. Current challenges for numerical weather prediction in complex terrain: Topography representation and parameterizations. In 2016 international conference on high performance computing & simulation (HPCS), 890–894 (IEEE, 2016).

  24. Dupuy, F., Durand, P. & Hedde, T. Downscaling of surface wind forecasts using convolutional neural networks. Nonlinear Process. Geophys. 30, 553–570 (2023).

    Google Scholar 

  25. Kumar, A. et al. Windsr: Improving spatial resolution of satellite wind speed through super-resolution. IEEE Access 11, 69486–69494 (2023).

    Google Scholar 

  26. Lian, J. et al. Terrawind: a deep learning-based near-surface winds downscaling model for complex terrain region. Geophys. Res. Lett. 51, e2024GL112124 (2024).

    Google Scholar 

  27. Buster, G., Benton, B. N., Glaws, A. & King, R. N. High-resolution meteorology with climate change impacts from global climate model data using generative machine learning. Nat. Energy 9, 894–906 (2024).

    Google Scholar 

  28. Jiang, P. et al. Efficient super-resolution of near-surface climate modeling using the Fourier neural operator. J. Adv. Modeling Earth Syst. 15, e2023MS003800 (2023).

    Google Scholar 

  29. Sinha, S., Benton, B. & Emami, P. On the effectiveness of neural operators at zero-shot weather downscaling. Environ. Data Sci. 4, e21 (2025).

    Google Scholar 

  30. Ding, J.-W. & Hsieh, I.-Y. L. Super-resolution wind mapping with deep learning for scalable renewable energy planning. Commun. Earth Environ. 7, 51 (2025).

    Google Scholar 

  31. Mardani, M. et al. Residual corrective diffusion modeling for km-scale atmospheric downscaling. Commun. Earth Environ. 6, 124 (2025).

    Google Scholar 

  32. Tomasi, E., Franch, G. & Cristoforetti, M. Can AI be enabled to perform dynamical downscaling? a latent diffusion model to mimic kilometer-scale cosmo5. 0_clm9 simulations. Geosci. Model Dev. 18, 2051–2078 (2025).

    Google Scholar 

  33. Lopez-Gomez, I. et al. Dynamical-generative downscaling of climate model ensembles. Proc. Natl. Acad. Sci. USA 122, e2420288122 (2025).

    Google Scholar 

  34. Le Toumelin, L. et al. Emulating the adaptation of wind fields to complex terrain with deep learning. Artif. Intell. Earth Syst. 2, e220034 (2023).

    Google Scholar 

  35. Ferziger, J. H. & Perić, M.Computational methods for fluid dynamics. 586 (Springer, 2002).

  36. Karniadakis, G. E., Israeli, M. & Orszag, S. A. High-order splitting methods for the incompressible Navier-Stokes equations. J. Comput. Phys. 97, 414–443 (1991).

    Google Scholar 

  37. Meteodyn. Meteodyn WT - Wind Resource Assessment Software. https://www.meteodyn.com/.

  38. WindSim AS. WindSim - CFD software for wind energy. https://www.windsim.com/.

  39. Envision Energy. Greenwich - Wind Farm Design Platform. https://www.envision-group.com/.

  40. Icos research infrastructure: Atmospheric tower observations. https://data.icos-cp.eu (2025).

  41. U.S. Geological Survey. Shuttle Radar Topography Mission (SRTM) 1 Arc-Second Global. USGS Earth ResourcesObservation and Science (EROS) Center https://doi.org/10.5066/F7PR7TFT (2014).

  42. Zanaga, D. et al. ESA WorldCover 10 m 2020 v100. Zenodo https://doi.org/10.5281/zenodo.5571936 (2021).

  43. Hasager, C. B. et al. Effective roughness calculated from satellite-derived land cover maps and hedge-information used in a weather forecasting model. Bound.Layer. Meteorol. 109, 227–254 (2003).

    Google Scholar 

  44. Dosovitskiy, A. et al. An image is worth 16x16 words: transformers for image recognition at scale. Preprint at https://doi.org/10.48550/arXiv.2010.11929 (2020).

Download references

Acknowledgements

This work was supported by the AI for Science Program of Shanghai Municipal Commission of Economy and Informatization (2025-GZL-RGZN-BTBX-02017, 2025-GZL-RGZN-BTBX-02031) and the Smart Grid National Science and Technology Major Project (2024ZD0800400). Part of this research was performed using the CFFF platform of Fudan University. The authors thank Prof. Dongxiao Zhao (Shanghai Jiao Tong University) for helpful discussions and insightful suggestions.

Author information

Author notes
  1. These authors contributed equally: Chensen Lin, Ruian Tie.

Authors and Affiliations

  1. Artificial Intelligence Innovation and Incubation Institute, Fudan University, Shanghai, China

    Chensen Lin, Ruian Tie, Shihong Yi, Xiaohui Zhong, Zixin Hu & Hao Li

  2. Shanghai Innovation Institute, Shanghai, China

    Ruian Tie & Hao Li

  3. Meteorological Observatory, Nanjing Meteorological Bureau, Nanjing, China

    Dongqing Liu

  4. Joint Laboratory for AI-Based Earth System Forecasting, Fudan University, Shanghai, China

    Xiaohui Zhong & Hao Li

  5. Shanghai Academy of Artificial Intelligence for Science, Shanghai, China

    Hao Li

Authors
  1. Chensen Lin
    View author publications

    Search author on:PubMed Google Scholar

  2. Ruian Tie
    View author publications

    Search author on:PubMed Google Scholar

  3. Shihong Yi
    View author publications

    Search author on:PubMed Google Scholar

  4. Dongqing Liu
    View author publications

    Search author on:PubMed Google Scholar

  5. Xiaohui Zhong
    View author publications

    Search author on:PubMed Google Scholar

  6. Zixin Hu
    View author publications

    Search author on:PubMed Google Scholar

  7. Hao Li
    View author publications

    Search author on:PubMed Google Scholar

Contributions

C.L. conceived the study, designed the methodology, performed the analyses and visualization, and wrote the original draft of the manuscript. R.T. contributed to AI model training and writing the original draft of the manuscript. S.Y., D.L., X.Z., and Z.H. contributed to validation and manuscript review and editing. H.L. conceived the study, secured funding, supervised the project, provided project administration, and contributed to manuscript review and editing.

Corresponding author

Correspondence to Hao Li.

Ethics declarations

Competing interests

The authors declare no competing interests.

Peer review

Peer review information

Nature Communications thanks the anonymous reviewers for their contribution to the peer review of this work. A peer review file is available.

Additional information

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

Supplementary information

Supplementary Information (download PDF )

Transparent Peer Review file (download PDF )

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

Lin, C., Tie, R., Yi, S. et al. Reconstructing fine-scale 3D wind fields with terrain-informed machine learning. Nat Commun (2026). https://doi.org/10.1038/s41467-026-70562-5

Download citation

  • Received: 19 July 2025

  • Accepted: 02 March 2026

  • Published: 09 March 2026

  • DOI: https://doi.org/10.1038/s41467-026-70562-5

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

Download PDF

Advertisement

Explore content

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

About the journal

  • Aims & Scope
  • Editors
  • Journal Information
  • Open Access Fees and Funding
  • Calls for Papers
  • Editorial Values Statement
  • Journal Metrics
  • Editors' Highlights
  • Contact
  • Editorial policies
  • Top Articles

Publish with us

  • For authors
  • For Reviewers
  • 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

Nature Communications (Nat Commun)

ISSN 2041-1723 (online)

nature.com footer links

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 Anthropocene

Sign up for the Nature Briefing: Anthropocene newsletter — what matters in anthropocene research, free to your inbox weekly.

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