Factorized Implicit Global Convolution for Automotive Computational Fluid Dynamics Prediction

Fuente: arXiv
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Autori principali: Choy, Chris, Kamenev, Alexey, Kossaifi, Jean, Rietmann, Max, Kautz, Jan, Azizzadenesheli, Kamyar
Natura: Preprint
Pubblicazione: 2025
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author Choy, Chris
Kamenev, Alexey
Kossaifi, Jean
Rietmann, Max
Kautz, Jan
Azizzadenesheli, Kamyar
author_facet Choy, Chris
Kamenev, Alexey
Kossaifi, Jean
Rietmann, Max
Kautz, Jan
Azizzadenesheli, Kamyar
contents Computational Fluid Dynamics (CFD) is crucial for automotive design, requiring the analysis of large 3D point clouds to study how vehicle geometry affects pressure fields and drag forces. However, existing deep learning approaches for CFD struggle with the computational complexity of processing high-resolution 3D data. We propose Factorized Implicit Global Convolution (FIGConv), a novel architecture that efficiently solves CFD problems for very large 3D meshes with arbitrary input and output geometries. FIGConv achieves quadratic complexity $O(N^2)$, a significant improvement over existing 3D neural CFD models that require cubic complexity $O(N^3)$. Our approach combines Factorized Implicit Grids to approximate high-resolution domains, efficient global convolutions through 2D reparameterization, and a U-shaped architecture for effective information gathering and integration. We validate our approach on the industry-standard Ahmed body dataset and the large-scale DrivAerNet dataset. In DrivAerNet, our model achieves an $R^2$ value of 0.95 for drag prediction, outperforming the previous state-of-the-art by a significant margin. This represents a 40% improvement in relative mean squared error and a 70% improvement in absolute mean squared error over previous methods.
format Preprint
id arxiv_https___arxiv_org_abs_2502_04317
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Factorized Implicit Global Convolution for Automotive Computational Fluid Dynamics Prediction
Choy, Chris
Kamenev, Alexey
Kossaifi, Jean
Rietmann, Max
Kautz, Jan
Azizzadenesheli, Kamyar
Computer Vision and Pattern Recognition
Computational Fluid Dynamics (CFD) is crucial for automotive design, requiring the analysis of large 3D point clouds to study how vehicle geometry affects pressure fields and drag forces. However, existing deep learning approaches for CFD struggle with the computational complexity of processing high-resolution 3D data. We propose Factorized Implicit Global Convolution (FIGConv), a novel architecture that efficiently solves CFD problems for very large 3D meshes with arbitrary input and output geometries. FIGConv achieves quadratic complexity $O(N^2)$, a significant improvement over existing 3D neural CFD models that require cubic complexity $O(N^3)$. Our approach combines Factorized Implicit Grids to approximate high-resolution domains, efficient global convolutions through 2D reparameterization, and a U-shaped architecture for effective information gathering and integration. We validate our approach on the industry-standard Ahmed body dataset and the large-scale DrivAerNet dataset. In DrivAerNet, our model achieves an $R^2$ value of 0.95 for drag prediction, outperforming the previous state-of-the-art by a significant margin. This represents a 40% improvement in relative mean squared error and a 70% improvement in absolute mean squared error over previous methods.
title Factorized Implicit Global Convolution for Automotive Computational Fluid Dynamics Prediction
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2502.04317