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Fourier Neural Operators for Rayleigh-Bénard Convection

We propose an improved Fourier Neural Operator (FNO) for modeling two-dimensional Rayleigh-Bénard convection by predicting time increments instead of full solutions, achieving higher accuracy than a standard FNO baseline. The resulting model is compact (314k parameters, 1.26 MB) and fast (7 ms inference), while maintaining similar accuracy as demonstrated in previous benchmarks. We show that although FNOs generalize to finer meshes, accuracy remains limited by the resolution of the training data.

AuthorsChelsea Maria John, Thibaut Lunet, Sebastian Götschel et al.
Primary categorycs.LG
Published2 July 2026
Last updated at source2 July 2026
cs.LGphysics.flu-dyn
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