Enhancing the accuracy of under-resolved numerical simulations of atmospheric flows with super resolution

Fuente: arXiv
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Autores principales: Sheidani, Armin, Girfoglio, Michele, Quaini, Annalisa, Rozza, Gianluigi
Formato: Preprint
Publicado: 2026
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author Sheidani, Armin
Girfoglio, Michele
Quaini, Annalisa
Rozza, Gianluigi
author_facet Sheidani, Armin
Girfoglio, Michele
Quaini, Annalisa
Rozza, Gianluigi
contents Super-resolution (SR) techniques based on deep learning have recently emerged as a promising approach to enhance the spatial resolution of computational fluid dynamics simulations while containing computational cost. In this paper, we investigate several SR architectures to improve coarse-grid simulations of mesoscale atmospheric flows, with training data generated from simulations of the weakly compressible Euler equations. We compare a baseline convolutional neural network (CNN), an attention-enhanced CNN, a multi-scale CNN designed to capture flow structures across different spatial scales, and a diffusion-based SR model. The methods are evaluated on two standard atmospheric benchmarks: the rising thermal bubble and the density current. Results show that the baseline CNN can accurately reconstruct simpler flow features, while more complex flows require multi-scale architectures. Overall, SR based on the multi-scale CNN provides the best balance of accuracy, robustness, and computational efficiency, outperforming even a state-of-the-art diffusion-based approach. We also analyze the sensitivity of the models to the size of the training dataset, highlighting limitations and trade-offs of the proposed SR strategies.
format Preprint
id arxiv_https___arxiv_org_abs_2604_09505
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Enhancing the accuracy of under-resolved numerical simulations of atmospheric flows with super resolution
Sheidani, Armin
Girfoglio, Michele
Quaini, Annalisa
Rozza, Gianluigi
Fluid Dynamics
Super-resolution (SR) techniques based on deep learning have recently emerged as a promising approach to enhance the spatial resolution of computational fluid dynamics simulations while containing computational cost. In this paper, we investigate several SR architectures to improve coarse-grid simulations of mesoscale atmospheric flows, with training data generated from simulations of the weakly compressible Euler equations. We compare a baseline convolutional neural network (CNN), an attention-enhanced CNN, a multi-scale CNN designed to capture flow structures across different spatial scales, and a diffusion-based SR model. The methods are evaluated on two standard atmospheric benchmarks: the rising thermal bubble and the density current. Results show that the baseline CNN can accurately reconstruct simpler flow features, while more complex flows require multi-scale architectures. Overall, SR based on the multi-scale CNN provides the best balance of accuracy, robustness, and computational efficiency, outperforming even a state-of-the-art diffusion-based approach. We also analyze the sensitivity of the models to the size of the training dataset, highlighting limitations and trade-offs of the proposed SR strategies.
title Enhancing the accuracy of under-resolved numerical simulations of atmospheric flows with super resolution
topic Fluid Dynamics
url https://arxiv.org/abs/2604.09505