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Real-world applications of computational fluid dynamics often involve the evaluation of quantities of interest for several distinct geometries that define the computational domain or are embedded inside it. For example, design optimization…

Numerical Analysis · Mathematics 2023-08-08 Guglielmo Padula , Francesco Romor , Giovanni Stabile , Gianluigi Rozza

One of the main challenges in the parametrization of geological models is the ability to capture complex geological structures often observed in the subsurface. In recent years, generative adversarial networks (GAN) were proposed as an…

Machine Learning · Statistics 2019-04-10 Shing Chan , Ahmed H. Elsheikh

A machine learning method was applied to solve an inverse airfoil design problem. A conditional VAE-WGAN-gp model, which couples the conditional variational autoencoder (VAE) and Wasserstein generative adversarial network with gradient…

Computational Engineering, Finance, and Science · Computer Science 2023-11-10 Kazuo Yonekura , Yuki Tomori , Katsuyuki Suzuki

Structural topology optimization, which aims to find the optimal physical structure that maximizes mechanical performance, is vital in engineering design applications in aerospace, mechanical, and civil engineering. Generative adversarial…

Machine Learning · Computer Science 2022-12-07 François Mazé , Faez Ahmed

This paper describes a new approach for training generative adversarial networks (GAN) to understand the detailed 3D shape of objects. While GANs have been used in this domain previously, they are notoriously hard to train, especially for…

Computer Vision and Pattern Recognition · Computer Science 2017-11-01 Edward Smith , David Meger

Generative design has been growing across the design community as a viable method for design space exploration. Thermal design is more complex than mechanical or aerodynamic design because of the additional convection-diffusion equation and…

Machine Learning · Computer Science 2022-08-18 Hadi Keramati , Feridun Hamdullahpur

Generative Adversarial Network (GAN) and its variants exhibit state-of-the-art performance in the class of generative models. To capture higher-dimensional distributions, the common learning procedure requires high computational complexity…

Machine Learning · Computer Science 2018-04-02 Xingwei Cao , Xuyang Zhao , Qibin Zhao

We introduce an adjoint-based aerodynamic shape optimization framework that integrates a diffusion model trained on existing designs to learn a smooth manifold of aerodynamically viable shapes. This manifold is enforced as an equality…

Computational Engineering, Finance, and Science · Computer Science 2025-08-01 Long Chen , Emre Oezkaya , Jan Rottmayer , Nicolas R. Gauger , Zebang Shen , Yinyu Ye

Effective airfoil geometry optimization requires exploring a diverse range of designs using as few design variables as possible. This study introduces AirDbM, a Design-by-Morphing (DbM) approach specialized for airfoil optimization that…

Machine Learning · Computer Science 2025-11-17 Sangjoon Lee , Haris Moazam Sheikh

Generative adversarial networks, which can generate metasurfaces based on a training set of high performance device layouts, have the potential to significantly reduce the computational cost of the metasurface design process. However, basic…

Computational Physics · Physics 2019-12-03 Fufang Wen , Jiaqi Jiang , Jonathan A. Fan

Airfoil shape design is a classical problem in engineering and manufacturing. In this work, we combine principled physics-based considerations for the shape design problem with modern computational techniques using a data-driven approach.…

Graphics · Computer Science 2023-01-05 Zachary Grey , Olga Doronina , Andrew Glaws

Adjoint-based optimization methods are attractive for aerodynamic shape design primarily due to their computational costs being independent of the dimensionality of the input space and their ability to generate high-fidelity gradients that…

Computational Physics · Physics 2020-08-18 S. Ashwin Renganathan , Romit Maulik and , Jai Ahuja

Predicting of airfoil aerodynamic performance is a key part of aircraft design optimization, but the traditional methods (such as wind tunnel test and CFD simulation) have the problems of high cost and low efficiency, and the existing…

Neural and Evolutionary Computing · Computer Science 2025-06-10 MaolinYang , Yaohui Wang , Pingyu Jiang

The design of aerodynamic shapes, such as airfoils, has traditionally required significant computational resources and relied on predefined design parameters, which limit the potential for novel shape synthesis. In this work, we introduce a…

Machine Learning · Computer Science 2024-12-19 Reid Graves , Amir Barati Farimani

Airfoil shape design is a classical problem in engineering and manufacturing. Our motivation is to combine principled physics-based considerations for the shape design problem with modern computational techniques informed by a data-driven…

Graphics · Computer Science 2022-01-14 Olga A. Doronina , Zachary J. Grey , Andrew Glaws

The aerodynamic optimization process of cars requires multiple iterations between aerodynamicists and stylists. Response Surface Modeling and Reduced-Order Modeling are commonly used to eliminate the overhead due to Computational Fluid…

Computational Engineering, Finance, and Science · Computer Science 2022-05-26 Sam Jacob Jacob , Markus Mrosek , Carsten Othmer , Harald Köstler

We propose two deep learning models that fully automate shape parameterization for aerodynamic shape optimization. Both models are optimized to parameterize via deep geometric learning to embed human prior knowledge into learned geometric…

Computer Vision and Pattern Recognition · Computer Science 2023-05-04 Zhen Wei , Pascal Fua , Michaël Bauerheim

A fundamental problem in geophysical modeling is related to the identification and approximation of causal structures among physical processes. However, resolving the bidirectional mappings between physical parameters and model state…

Data Analysis, Statistics and Probability · Physics 2018-10-31 Alexander Y. Sun

Mechanical product engineering often must comply with manufacturing or geometric constraints related to the shaping process. Mechanical design hence should rely on robust and fast tools to explore complex shapes, typically for design for…

Computational Engineering, Finance, and Science · Computer Science 2020-10-23 Waad Almasri , Dimitri Bettebghor , Fakhreddine Ababsa , Florence Danglade

This paper presents GO-GAN, a novel Generative Adversarial Network (GAN) architecture for geometry optimization (GO), specifically to generate structures based on user-specified input parameters. The architecture for GO-GAN proposed here…

Computational Engineering, Finance, and Science · Computer Science 2025-02-04 A. Padmaprabhan , Shriram Hari , Nived Philip Thomas , Khaish Singh Chadha , Sai Sidhardh , Viswanath Chinthapenta , Prabhat Kumar