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Acceleration of three-dimensional free-surface flow simulations using super-resolution convolutional neural network

Alsulami, Anwar, Yasuda, Yuki, Onishi, Ryo, Lai, Yukun ORCID: https://orcid.org/0000-0002-2094-5680 and Yokoi, Kensuke ORCID: https://orcid.org/0000-0001-7914-6050 2026. Acceleration of three-dimensional free-surface flow simulations using super-resolution convolutional neural network. Physics of Fluids 38 (4) , 042106. 10.1063/5.0321435

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Abstract

We propose a super-resolution framework for accelerating three-dimensional free-surface flow simulations, termed the free-surface flow super-resolution convolutional neural network (FSFlow-SRCNN), by integrating a 3D U-Net-based CNN with an advanced free-surface flow solver. The free-surface flow solver is based on the coupled level-set and volume-of-fluid (CLSVOF) method and the full-variable Cartesian grid (FVCG) method. Numerical experiments show substantial acceleration while maintaining close agreement with high-resolution reference solutions and satisfying mass conservation to a comparatively high standard; a speed-up factor of approximately 139 is achieved in one computational environment. FSFlow-SRCNN also demonstrates generalization to nearby unseen conditions, remaining stable and maintaining robust super-resolution performance. Among the three tested loss functions, Loss3 combining an L1 term with divergence and gradient terms provides the best overall balance: the divergence term improves mass conservation, whereas the gradient term enhances the reconstruction of the density field across gas–liquid density discontinuities. Finally, training on mixed one- and two-droplet datasets yields reliable performance in both cases, indicating the potential of FSFlow-SRCNN as a versatile model for a range of free-surface flows.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Schools > Engineering
Schools > Computer Science & Informatics
Publisher: American Institute of Physics
ISSN: 1070-6631
Date of First Compliant Deposit: 8 April 2026
Date of Acceptance: 23 March 2026
Last Modified: 09 Apr 2026 08:45
URI: https://orca.cardiff.ac.uk/id/eprint/186278

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