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DeepCFD: Efficient Steady-State Laminar Flow Approximation with Deep Convolutional Neural Networks

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arxiv 2004.08826 v3 pith:FG6I65UH submitted 2020-04-19 physics.comp-ph cs.LGphysics.flu-dyn

classification physics.comp-phcs.LGphysics.flu-dyn
keywords computationaldeepcfdequationsconvolutionalcostdesignflowflows
verification ladder T0 review T1 audit T2 compute T3 formal
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Computational Fluid Dynamics (CFD) simulation by the numerical solution of the Navier-Stokes equations is an essential tool in a wide range of applications from engineering design to climate modeling. However, the computational cost and memory demand required by CFD codes may become very high for flows of practical interest, such as in aerodynamic shape optimization. This expense is associated with the complexity of the fluid flow governing equations, which include non-linear partial derivative terms that are of difficult solution, leading to long computational times and limiting the number of hypotheses that can be tested during the process of iterative design. Therefore, we propose DeepCFD: a convolutional neural network (CNN) based model that efficiently approximates solutions for the problem of non-uniform steady laminar flows. The proposed model is able to learn complete solutions of the Navier-Stokes equations, for both velocity and pressure fields, directly from ground-truth data generated using a state-of-the-art CFD code. Using DeepCFD, we found a speedup of up to 3 orders of magnitude compared to the standard CFD approach at a cost of low error rates.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Continual-Learning Physics-Informed Neural Networks for Parameterized Partial Differential Equations

    cs.LG 2026-08 conditional novelty 6.0 of 10

    A continual-learning training scheme with Bayesian task selection, dynamic weighting, and sparse physics replay improves accuracy and query efficiency of parameterized physics-informed neural networks on five benchmarks.

  2. NeuroForge: A Self-Correcting, Geometry-Native Neural CFD Engine with Calibrated Physics-Residual Trust

    physics.flu-dyn 2026-07 conditional novelty 6.0 of 10

    The steady-RANS residual of a neural CFD prediction is a backbone-robust case-level trust signal but a poor correction objective; a supervised DEQ corrector cuts field MSE on a SOTA backbone without needing residual c...

  3. Multi-Stage Graph Neural Networks for Data-Driven Prediction of Natural Convection in Enclosed Cavities

    cs.CV 2025-09 reject novelty 4.0 of 10

    A multi-stage GNN with hierarchical pooling and unpooling predicts natural-convection temperature fields more accurately and efficiently than a single-scale MeshGraphNets baseline on a new 2D cavity dataset.

  4. Convolutional Long Short-Term Memory Neural Networks Based Numerical Simulation of Flow Field

    cs.CV 2025-05 reject novelty 2.0 of 10

    An improved ConvLSTM with attention and residual modules is claimed to predict cylinder wake flows with fewer parameters, faster training, and lower errors than standard ConvLSTM.

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