Predicting Flow Dynamics using Diffusion Models

Fuente: arXiv
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Main Authors: Gachnang, Yannick, Churiwala, Vismay
Format: Preprint
Published: 2025
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author Gachnang, Yannick
Churiwala, Vismay
author_facet Gachnang, Yannick
Churiwala, Vismay
contents In this work, we aimed to replicate and extend the results presented in the DiffFluid paper[1]. The DiffFluid model showed that diffusion models combined with Transformers are capable of predicting fluid dynamics. It uses a denoising diffusion probabilistic model (DDPM) framework to tackle Navier-Stokes and Darcy flow equations. Our goal was to validate the reproducibility of the methods in the DiffFluid paper while testing its viability for other simulation types, particularly the Lattice Boltzmann method. Despite our computational limitations and time constraints, this work provides evidence of the flexibility and potential of the model as a general-purpose solver for fluid dynamics. Our results show both the potential and challenges of applying diffusion models to complex fluid dynamics problems. This work highlights the opportunities for future research in optimizing the computational efficiency and scaling such models in broader domains.
format Preprint
id arxiv_https___arxiv_org_abs_2507_08106
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Predicting Flow Dynamics using Diffusion Models
Gachnang, Yannick
Churiwala, Vismay
Fluid Dynamics
Machine Learning
In this work, we aimed to replicate and extend the results presented in the DiffFluid paper[1]. The DiffFluid model showed that diffusion models combined with Transformers are capable of predicting fluid dynamics. It uses a denoising diffusion probabilistic model (DDPM) framework to tackle Navier-Stokes and Darcy flow equations. Our goal was to validate the reproducibility of the methods in the DiffFluid paper while testing its viability for other simulation types, particularly the Lattice Boltzmann method. Despite our computational limitations and time constraints, this work provides evidence of the flexibility and potential of the model as a general-purpose solver for fluid dynamics. Our results show both the potential and challenges of applying diffusion models to complex fluid dynamics problems. This work highlights the opportunities for future research in optimizing the computational efficiency and scaling such models in broader domains.
title Predicting Flow Dynamics using Diffusion Models
topic Fluid Dynamics
Machine Learning
url https://arxiv.org/abs/2507.08106