Articles | Volume 18, issue 21
https://doi.org/10.5194/gmd-18-8175-2025
https://doi.org/10.5194/gmd-18-8175-2025
Model description paper
 | 
05 Nov 2025
Model description paper |  | 05 Nov 2025

HOPE: an arbitrary-order non-oscillatory finite-volume shallow water dynamical core with automatic differentiation

Lilong Zhou, Wei Xue, and Xueshun Shen

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Cited articles

Acker, F., de R. Borges, R. B., and Costa, B.: An improved WENO-Z scheme, J. Comput. Phys., 313, 726–753, https://doi.org/10.1016/j.jcp.2016.01.038, 2016. 
Bao, L., Nair, R. D., and Tufo, H. M.: A Mass and Momentum Flux-Form High-Order Discontinuous Galerkin Shallow Water Model on the Cubed-Sphere, J. Comput. Phys., 271, 224–243, https://doi.org/10.1016/j.jcp.2013.11.033, 2014. 
Bi, K., Xie, L., Zhang, H., Chen, X., Gu, X., and Tian, Q.: Pangu-Weather: A 3D High-Resolution System for Fast and Accurate Global Weather Forecast, arXiv [preprint], arXiv:2211.02556v1 [physics.ao-ph], https://doi.org/10.48550/arXiv.2211.02556, 2022. 
Borges, R., Carmona, M., Costa, B., and Don, W. S.: An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws, J. Comput. Phys., 227, 3191–3211, https://doi.org/10.1016/j.jcp.2007.11.038, 2008. 
Chen, C. and Xiao, F.: Shallow Water Model on Cubed-Sphere by Multi-Moment Finite Volume Method, J. Comput. Phys., 227, 5019–5044, https://doi.org/10.1016/j.jcp.2008.01.033, 2008. 
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Short summary
This study develops a novel physics-based weather prediction model using artificial intelligence development platform, achieving high accuracy while maintaining strict physical conservation laws. Our algorithms are optimized for modern super computers, enabling efficient large-scale weather simulations. A key innovation is the model's inherent differentiable nature, allowing seamless integration with AI systems to enhance predictive capabilities through machine learning techniques.
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