CFDNet: a deep learning-based accelerator for fluid simulations
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Abstract (arXiv)
CFD is widely used in physical system design and optimization, where it is used to predict engineering quantities of interest, such as the lift on a plane wing or the drag on a motor vehicle. However, many systems of interest are prohibitively expensive for design optimization, due to the expense of evaluating CFD simulations. To render the computation tractable, reduced-order or surrogate models are used to accelerate simulations while respecting the convergence constraints provided by the higher-fidelity solution. This paper introduces CFDNet -- a physical simulation and deep learning coupled framework, for accelerating the convergence of Reynolds Averaged Navier-Stokes simulations. CFDNet is designed to predict the primary physical properties of the fluid including velocity, pressure, and eddy viscosity using a single convolutional neural network at its core. We evaluate CFDNet on a variety of use-cases, both extrapolative and interpolative, where test geometries are observed/not-observed during training. Our results show that CFDNet meets the convergence constraints of the domain-specific physics solver while outperforming it by 1.9 - 7.4x on both steady laminar and turbulent flows. Moreover, we demonstrate the generalization capacity of CFDNet by testing its prediction on new geometries unseen during training. In this case, the approach meets the CFD convergence criterion while still providing significant speedups over traditional domain-only models.
Key facts. Cited by 40 papers in the map (data through 7 Oct 2026). First posted on arXiv 9 May 2020.
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Citing papers per year: 2021: 11; 2022: 9; 2023: 7; 2024: 7; 2025: 4; 2026: 2.
40 papers.
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- 2021Machine learning accelerated computational fluid dynamicscited by 461
- 2021Factorized Fourier Neural Operatorscited by 237
- 2021Enhancing Computational Fluid Dynamics with Machine Learningcited by 137
- 2022AirfRANS: High Fidelity Computational Fluid Dynamics Dataset for Approximating Reynolds-Averaged Navier-Stokes Solutionscited by 77
- 2023From Zero to Turbulence: Generative Modeling for 3D Flow Simulationcited by 46
- 2022Efficient Learning of Mesh-Based Physical Simulation with BSMS-GNNcited by 43
- 2021Mosaic Flows: A Transferable Deep Learning Framework for Solving PDEs on Unseen Domainscited by 37
- 2022MAgNET: A Graph U-Net Architecture for Mesh-Based Simulationscited by 26
- 2022Multigrid-augmented deep learning preconditioners for the Helmholtz equationcited by 24
- 2021How to Avoid Trivial Solutions in Physics-Informed Neural Networkscited by 14
- 2021Finite volume method network for acceleration of unsteady computational fluid dynamics: non-reacting and reacting flowscited by 12
- 2023Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation using Compact Implicit Layerscited by 11
28 more
- 2021SURFNet: Super-resolution of Turbulent Flows with Transfer Learning using Small Datasetscited by 8
- 2022An extensible Benchmarking Graph-Mesh dataset for studying Steady-State Incompressible Navier-Stokes Equationscited by 5
- 2024Reference Neural Operators: Learning the Smooth Dependence of Solutions of PDEs on Geometric Deformationscited by 5
- 2021Towards high-accuracy deep learning inference of compressible turbulent flows over aerofoilscited by 4
- 2022An Improved Structured Mesh Generation Method Based on Physics-informed Neural Networkscited by 4
- 2023INFINITY: Neural Field Modeling for Reynolds-Averaged Navier-Stokes Equationscited by 4
- 2023Learning to Predict Structural Vibrationscited by 4
- 2021Surrogate-data-enriched Physics-Aware Neural Networkscited by 3
- 2023An Implicit GNN Solver for Poisson-like problemscited by 3
- 2023Breaking Boundaries: Distributed Domain Decomposition with Scalable Physics-Informed Neural PDE Solverscited by 3
- 2025Comparison of CNN-based deep learning architectures for unsteady CFD acceleration on small datasetscited by 3
- 2021Graph network for learning bi-directional physicscited by 2
- 2022NUNet: Deep Learning for Non-Uniform Super-Resolution of Turbulent Flowscited by 2
- 20243DMeshNet: A Three-Dimensional Differential Neural Network for Structured Mesh Generationcited by 2
- 2025Hierarchical-embedding autoencoder with a predictor (HEAP) as efficient architecture for learning long-term evolution of complex multi-scale physical systemscited by 2
- 2021Positional Encoding Augmented GAN for the Assessment of Wind Flow for Pedestrian Comfort in Urban Areascited by 1
- 2022A Deep Learning Approach for Thermal Plume Prediction of Groundwater Heat Pumpscited by 1
- 2023Meta-Learning for Airflow Simulations with Graph Neural Networkscited by 1
- 2024End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE Solvercited by 1
- 2024Implicit Neural Representation For Accurate CFD Flow Field Predictioncited by 1
- 2024Fourier neural operators for spatiotemporal dynamics in two-dimensional turbulencecited by 1
- 2025DrivAer Transformer: A high-precision and fast prediction method for vehicle aerodynamic drag coefficient based on the DrivAerNet++ datasetcited by 1
- 2022SOLAR: A Highly Optimized Data Loading Framework for Distributed Training of CNN-based Scientific Surrogatescited by 0
- 2024Reducing Spatial Discretization Error on Coarse CFD Simulations Using an OpenFOAM-Embedded Deep Learning Frameworkcited by 0
- 2024Coupling Machine Learning Local Predictions with a Computational Fluid Dynamics Solver to Accelerate Transient Buoyant Plume Simulationscited by 0
- 2025Reformulating Neural Operators in d+1 Dimensions for Embedding Evolutioncited by 0
- 2026Momentum-Conserving Graph Neural Networks for Deformable Objectscited by 0
- 2026Deep Wave Network for Modeling Multi-Scale Physical Dynamicscited by 0
- 2026Deep Wave Network for Modeling Multi-Scale Physical Dynamics5 May 2026
- 2026Momentum-Conserving Graph Neural Networks for Deformable Objects28 Apr 2026
- 2025Hierarchical-embedding autoencoder with a predictor (HEAP) as efficient architecture for learning long-term evolution of complex multi-scale physical systems24 May 2025
- 2025Reformulating Neural Operators in d+1 Dimensions for Embedding Evolution17 May 2025
- 2025DrivAer Transformer: A high-precision and fast prediction method for vehicle aerodynamic drag coefficient based on the DrivAerNet++ dataset11 Apr 2025
- 2025Comparison of CNN-based deep learning architectures for unsteady CFD acceleration on small datasets6 Feb 2025
- 2024Fourier neural operators for spatiotemporal dynamics in two-dimensional turbulence23 Sep 2024
- 2024Coupling Machine Learning Local Predictions with a Computational Fluid Dynamics Solver to Accelerate Transient Buoyant Plume Simulations11 Sep 2024
- 2024Implicit Neural Representation For Accurate CFD Flow Field Prediction12 Aug 2024
- 2024Reference Neural Operators: Learning the Smooth Dependence of Solutions of PDEs on Geometric Deformations27 May 2024
- 2024Reducing Spatial Discretization Error on Coarse CFD Simulations Using an OpenFOAM-Embedded Deep Learning Framework13 May 2024
- 20243DMeshNet: A Three-Dimensional Differential Neural Network for Structured Mesh Generation7 May 2024
28 more
- 2024End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE Solver17 Apr 2024
- 2023Learning to Predict Structural Vibrations9 Oct 2023
- 2023Breaking Boundaries: Distributed Domain Decomposition with Scalable Physics-Informed Neural PDE Solvers28 Aug 2023
- 2023INFINITY: Neural Field Modeling for Reynolds-Averaged Navier-Stokes Equations25 Jul 2023
- 2023Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation using Compact Implicit Layers30 Jun 2023
- 2023Meta-Learning for Airflow Simulations with Graph Neural Networks18 Jun 2023
- 2023From Zero to Turbulence: Generative Modeling for 3D Flow Simulation29 May 2023
- 2023An Implicit GNN Solver for Poisson-like problems6 Feb 2023
- 2022AirfRANS: High Fidelity Computational Fluid Dynamics Dataset for Approximating Reynolds-Averaged Navier-Stokes Solutions15 Dec 2022
- 2022MAgNET: A Graph U-Net Architecture for Mesh-Based Simulations1 Nov 2022
- 2022SOLAR: A Highly Optimized Data Loading Framework for Distributed Training of CNN-based Scientific Surrogates1 Nov 2022
- 2022An Improved Structured Mesh Generation Method Based on Physics-informed Neural Networks18 Oct 2022
- 2022Efficient Learning of Mesh-Based Physical Simulation with BSMS-GNN5 Oct 2022
- 2022An extensible Benchmarking Graph-Mesh dataset for studying Steady-State Incompressible Navier-Stokes Equations29 Jun 2022
- 2022A Deep Learning Approach for Thermal Plume Prediction of Groundwater Heat Pumps29 Mar 2022
- 2022NUNet: Deep Learning for Non-Uniform Super-Resolution of Turbulent Flows26 Mar 2022
- 2022Multigrid-augmented deep learning preconditioners for the Helmholtz equation14 Mar 2022
- 2021Positional Encoding Augmented GAN for the Assessment of Wind Flow for Pedestrian Comfort in Urban Areas15 Dec 2021
- 2021Graph network for learning bi-directional physics13 Dec 2021
- 2021How to Avoid Trivial Solutions in Physics-Informed Neural Networks10 Dec 2021
- 2021Surrogate-data-enriched Physics-Aware Neural Networks10 Dec 2021
- 2021Factorized Fourier Neural Operators27 Nov 2021
- 2021Enhancing Computational Fluid Dynamics with Machine Learning5 Oct 2021
- 2021Towards high-accuracy deep learning inference of compressible turbulent flows over aerofoils5 Sep 2021
- 2021SURFNet: Super-resolution of Turbulent Flows with Transfer Learning using Small Datasets17 Aug 2021
- 2021Finite volume method network for acceleration of unsteady computational fluid dynamics: non-reacting and reacting flows7 May 2021
- 2021Mosaic Flows: A Transferable Deep Learning Framework for Solving PDEs on Unseen Domains22 Apr 2021
- 2021Machine learning accelerated computational fluid dynamics28 Jan 2021
- 2021Machine learning accelerated computational fluid dynamicscited by 461
- 2021Factorized Fourier Neural Operatorscited by 237
- 2021Enhancing Computational Fluid Dynamics with Machine Learningcited by 137
- 2022AirfRANS: High Fidelity Computational Fluid Dynamics Dataset for Approximating Reynolds-Averaged Navier-Stokes Solutionscited by 77
- 2023From Zero to Turbulence: Generative Modeling for 3D Flow Simulationcited by 46
- 2022Efficient Learning of Mesh-Based Physical Simulation with BSMS-GNNcited by 43
- 2021Mosaic Flows: A Transferable Deep Learning Framework for Solving PDEs on Unseen Domainscited by 37
- 2022MAgNET: A Graph U-Net Architecture for Mesh-Based Simulationscited by 26
- 2022Multigrid-augmented deep learning preconditioners for the Helmholtz equationcited by 24
- 2021How to Avoid Trivial Solutions in Physics-Informed Neural Networkscited by 14
- 2021Finite volume method network for acceleration of unsteady computational fluid dynamics: non-reacting and reacting flowscited by 12
- 2023Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation using Compact Implicit Layerscited by 11
12 most cited of 40 All 40 (JSON)
- 2026Deep Wave Network for Modeling Multi-Scale Physical Dynamics5 May 2026
- 2026Momentum-Conserving Graph Neural Networks for Deformable Objects28 Apr 2026
- 2025Hierarchical-embedding autoencoder with a predictor (HEAP) as efficient architecture for learning long-term evolution of complex multi-scale physical systems24 May 2025
- 2025Reformulating Neural Operators in d+1 Dimensions for Embedding Evolution17 May 2025
- 2025DrivAer Transformer: A high-precision and fast prediction method for vehicle aerodynamic drag coefficient based on the DrivAerNet++ dataset11 Apr 2025
- 2025Comparison of CNN-based deep learning architectures for unsteady CFD acceleration on small datasets6 Feb 2025
- 2024Fourier neural operators for spatiotemporal dynamics in two-dimensional turbulence23 Sep 2024
- 2024Coupling Machine Learning Local Predictions with a Computational Fluid Dynamics Solver to Accelerate Transient Buoyant Plume Simulations11 Sep 2024
- 2024Implicit Neural Representation For Accurate CFD Flow Field Prediction12 Aug 2024
- 2024Reference Neural Operators: Learning the Smooth Dependence of Solutions of PDEs on Geometric Deformations27 May 2024
- 2024Reducing Spatial Discretization Error on Coarse CFD Simulations Using an OpenFOAM-Embedded Deep Learning Framework13 May 2024
- 20243DMeshNet: A Three-Dimensional Differential Neural Network for Structured Mesh Generation7 May 2024
12 newest of 40 All 40 (JSON)