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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

Meta-optics promises compact, high-performance imaging and color routing. However, designing high-performance structures is a high-dimensional optimization problem: mapping a desired optical output back to a physical 3D structure requires…

Machine Learning · Computer Science 2026-04-21 Chanik Kang , Hyewon Suk , Haejun Chung

In recent years, the use of adjoint vectors in Computational Fluid Dynamics (CFD) has seen a dramatic rise. Their utility in numerous applications, including design optimization, data assimilation, and mesh adaptation has sparked the…

Computational Engineering, Finance, and Science · Computer Science 2017-12-05 Steven M. Kast

Aerodynamic design optimization is an important problem in aircraft design that depends on the interplay between a numerical optimizer and a high-fidelity flow physics solver. Derivative-based, first and (quasi) second order, optimization…

Optimization and Control · Mathematics 2026-04-17 Punya Plaban , Peter Bachman , Ashwin Renganathan

We develop neural-network active flow controllers using a deep learning PDE augmentation method (DPM). The sensitivities for optimization are computed using adjoints of the governing equations without restriction on the terms that may…

Fluid Dynamics · Physics 2023-07-20 Xuemin Liu , Jonathan F. MacArt

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

Figuring out the right airfoil is a crucial step in the preliminary stage of any aerial vehicle design, as its shape directly affects the overall aerodynamic characteristics of the aircraft or rotorcraft. Besides being a measure of…

Fluid Dynamics · Physics 2023-03-14 Hassan Moin , Hafiz Zeeshan Iqbal Khan , Surrayya Mobeen , Jamshed Riaz

We train active neural-network flow controllers using a deep learning PDE augmentation method to optimize lift-to-drag ratios in turbulent airfoil flows at Reynolds number $5\times10^4$ and Mach number 0.4. Direct numerical simulation and…

Fluid Dynamics · Physics 2025-10-09 Xuemin Liu , Tom Hickling , Jonathan F. MacArt

In machine learning for fluid mechanics, fully-connected neural network (FNN) only uses the local features for modelling, while the convolutional neural network (CNN) cannot be applied to data on structured/unstructured mesh. In order to…

Fluid Dynamics · Physics 2021-01-14 Mengfei Xu , Shufang Song , Xuxiang Sun , Weiwei Zhang

An evolutionary multi-objective aerodynamic design optimization method using the computational fluid dynamics (CFD) simulations incorporating deep neural network (DNN) to reduce the required computational time is proposed. In this approach,…

Fluid Dynamics · Physics 2023-05-01 Yukito Tsunoda , Akira Oyama

It's difficult to accurately predict the flow with shock waves over an aircraft due to the flow's strongly nonlinear characteristics. In this study, we propose an accuracy-enhanced flow prediction method that fuses deep learning and…

Fluid Dynamics · Physics 2024-05-27 Xuyi Jia , Chunlin Gong , Wen Ji , Chunna Li

The adjoint method is an efficient way to numerically compute gradients in optimization problems with constraints, but is only formulated to differentiable cost and constraint functions on real variables. With the introduction of complex…

Optimization and Control · Mathematics 2026-01-21 Andrew Zheng , Adam R. Stinchcombe

Efficiently predicting the flowfield and load in aerodynamic shape optimisation remains a highly challenging and relevant task. Deep learning methods have been of particular interest for such problems, due to their success for solving…

Fluid Dynamics · Physics 2021-06-16 Li-Wei Chen , Berkay Alp Cakal , Xiangyu Hu , Nils Thuerey

As more and more multiphysics effects are entering the field of CFD simulations, this raises the question how they can be accurately captured in gradient computations for shape optimization. The latter has been successfully enriched over…

Computational Physics · Physics 2018-11-02 Ole Burghardt , Nicolas R. Gauger

In this paper, prediction of airfoil shape from targeted pressure distribution (suction and pressure sides) and vice versa is demonstrated using both Convolutional Neural Networks (CNNs) and Deep Neural Networks (DNNs) techniques. The…

Machine Learning · Computer Science 2025-04-01 Anantram Patel , Nikhil Mogre , Mandar Mane , Jayavardhan Reddy Enumula , Vijay Kumar Sutrakar

Adjoint variable method in combination with gradient descent optimization has been widely used for the inverse design of nanophotonic devices. In many of such optimizations, the design region is only a small fraction of the total…

Computational Physics · Physics 2019-07-24 Nathan Zhao , Salim Boutami , Shanhui Fan

To facilitate efficient embedded and hardware implementations of deep neural networks (DNNs), two important categories of DNN model compression techniques: weight pruning and weight quantization are investigated. The former leverages the…

Machine Learning · Computer Science 2019-01-03 Ao Ren , Tianyun Zhang , Shaokai Ye , Jiayu Li , Wenyao Xu , Xuehai Qian , Xue Lin , Yanzhi Wang

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

Optimizing fluid-dynamic performance is an important engineering task. Traditionally, experts design shapes based on empirical estimations and verify them through expensive experiments. This costly process, both in terms of time and space,…

Computational Engineering, Finance, and Science · Computer Science 2020-01-24 Yang Chen

Optimizing shapes and topology of physical devices is crucial for both scientific and technological advancements, given its wide-ranging implications across numerous industries and research areas. Innovations in shape and topology…

Computational Physics · Physics 2023-10-02 Alexander Luce , Rasoul Alaee , Fabian Knorr , Florian Marquardt
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