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Prediction of Aerodynamic Flow Fields Using Convolutional Neural Networks (1905.13166v1)

Published 30 May 2019 in physics.flu-dyn and cs.CE

Abstract: An approximation model based on convolutional neural networks (CNNs) is proposed for flow field predictions. The CNN is used to predict the velocity and pressure field in unseen flow conditions and geometries given the pixelated shape of the object. In particular, we consider Reynolds Averaged Navier-Stokes (RANS) flow solutions over airfoil shapes. The CNN can automatically detect essential features with minimal human supervision and shown to effectively estimate the velocity and pressure field orders of magnitude faster than the RANS solver, making it possible to study the impact of the airfoil shape and operating conditions on the aerodynamic forces and the flow field in near-real time. The use of specific convolution operations, parameter sharing, and robustness to noise are shown to enhance the predictive capabilities of CNN. We explore the network architecture and its effectiveness in predicting the flow field for different airfoil shapes, angles of attack, and Reynolds numbers.

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Authors (5)
  1. Yaser Afshar (2 papers)
  2. Saakaar Bhatnagar (5 papers)
  3. Shaowu Pan (18 papers)
  4. Karthik Duraisamy (61 papers)
  5. Shailendra Kaushik (2 papers)
Citations (444)

Summary

  • The paper demonstrates that a CNN model can predict aerodynamic flow fields with up to four orders of magnitude speedup while maintaining MAPE below 10%.
  • It employs an encoder-decoder architecture with a Signed Distance Function representation and gradient sharpening to enhance prediction clarity.
  • The approach enables near real-time simulation across various airfoil shapes, offering a transformative solution for aerospace design and optimization.

Prediction of Aerodynamic Flow Fields Using Convolutional Neural Networks

The paper presents a methodology for predicting aerodynamic flow fields utilizing Convolutional Neural Networks (CNNs). It emphasizes the inefficiency and high computational costs of traditional Computational Fluid Dynamics (CFD) simulations and proposes a CNN-based model that approximates flow characteristics significantly faster without sacrificing accuracy.

The core of this paper lies in using CNNs to predict the velocity and pressure fields around airfoil shapes given their pixelated geometry and flow conditions. The CNN model is trained using Reynolds Averaged Navier-Stokes (RANS) solutions, allowing it to predict flow fields more efficiently than traditional solvers. The authors argue that by extracting multi-scale features from input data, CNNs can effectively establish relationships between complex geometrical inputs and aerodynamic outputs.

Key aspects of their methodology include:

  • Geometry Representation: The airfoil shape is represented through a Signed Distance Function (SDF), which is employed to capture necessary geometrical details. The SDF is pivotal in translating intricate geometric structures into a format suitable for CNN analysis.
  • Network Architecture: They employ an encoder-decoder architecture, which features shared-encoding and decoding to enhance computation efficiency. By adopting this shared approach, the design reduces redundant calculations, contrasting previous models that relied on separated decoders.
  • Gradient Sharpening: To enhance the model's predictive capacity and address a lack of definition in its predictions, the paper proposes the inclusion of gradient sharpening to improve the sharpness of the predicted flow fields.

The CNN model is rigorously validated through a series of numerical simulations across different airfoils, Reynolds numbers, and angles of attack, ensuring its robustness and versatility. Noteworthy results include the capacity of the CNN to predict flow fields roughly four orders of magnitude faster than traditional RANS solvers, while maintaining MAPE (Mean Absolute Percent Error) levels below 10%.

The paper's findings reveal that using CNNs for fast prediction of aerodynamic characteristics can potentially transform the design and optimization process within aerospace engineering. By facilitating near real-time flow field predictions, the model presents a significant advancement over legacy CFD approaches, where extensive computational resources and time are substantial constraints.

Furthermore, the capability of the CNN framework to generalize predictions to unseen airfoil shapes illustrates the promise of this approach as a universal solution in aerodynamic studies. However, the authors note limitations in the training dataset size, suggesting further experimentation with a richer dataset across diverse airfoil families could enhance prediction accuracy.

In conclusion, this paper demonstrates how CNNs, when appropriately structured, can serve as powerful tools in computational mechanics, providing real-time insights that are beneficial for industrial applications, especially in aerodynamic optimization tasks. Future work is anticipated to include alignment with broader datasets and incorporation of additional physical parameters in the loss functions to refine the predictive fidelity of the CNN.