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The resolution of the Poisson equation is usually one of the most computationally intensive steps for incompressible fluid solvers. Lately, Deep Learning, and especially Convolutional Neural Networks (CNN), has been introduced to solve this…

Fluid Dynamics · Physics 2021-09-24 Ekhi Ajuria Illarramendi , Michaël Bauerheim , Bénédicte Cuenot

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

Accurate prediction of hypersonic flow fields over a compression ramp is critical for aerodynamic design but remains challenging due to the scarcity of experimental measurements such as velocity. This study systematically develops a data…

Fluid Dynamics · Physics 2025-11-26 Yuan Jia , Guoqin Zhao , Hao Ma , Xin Li , Chi Zhang , Chih-Yung Wen

Spiking Neural Networks (SNNs) exhibit exceptional energy efficiency on neuromorphic hardware due to their sparse activation patterns. However, conventional training methods based on surrogate gradients and Backpropagation Through Time…

Computer Vision and Pattern Recognition · Computer Science 2025-10-09 Xiaochen Zhao , Chengting Yu , Kairong Yu , Lei Liu , Aili Wang

Coupling physics with machine learning models has shown great potential for solving fluid dynamics problems governed by partial differential equations. However, conventional methods, such as physics-informed neural networks, often suffer…

Fluid Dynamics · Physics 2026-03-10 Yuling Han , Zhihui Li , Zhibin Yu

Computational Fluid Dynamics (CFD)-driven training combines machine learning (ML) with CFD solvers to develop physically consistent closure models with improved predictive accuracy. In the original framework, each ML-generated candidate…

Machine Learning · Computer Science 2025-12-23 Yuan Fang , Fabian Waschkowski , Maximilian Reissmann , Richard D. Sandberg , Takuo Oda , Koichi Tanimoto

Simulation of multiphase flow in porous media is crucial for the effective management of subsurface energy and environment related activities. The numerical simulators used for modeling such processes rely on spatial and temporal…

Computational Physics · Physics 2022-05-25 Bicheng Yan , Dylan Robert Harp , Rajesh J. Pawar

Federated learning with heterogeneous clients remains a significant challenge for deep learning, primarily due to client drift arising from inconsistent local updates. Existing federated optimization methods typically address this issue…

Machine Learning · Computer Science 2026-05-08 Junye Du , Zhenghao Li , Yushi Feng , Long Feng

Advancement in finite element methods have become essential in various disciplines, and in particular for Computational Fluid Dynamics (CFD), driving research efforts for improved precision and efficiency. While Convolutional Neural…

Machine Learning · Computer Science 2025-08-27 Paul Garnier , Jonathan Viquerat , Elie Hachem

Sequential recommendation models have achieved state-of-the-art performance using self-attention mechanism. It has since been found that moving beyond only using item ID and positional embeddings leads to a significant accuracy boost when…

Information Retrieval · Computer Science 2024-09-10 Linsey Pang , Amir Hossein Raffiee , Wei Liu , Keld Lundgaard

Aircraft design optimization traditionally relies on computationally expensive simulation techniques such as Finite Element Method (FEM) and Finite Volume Method (FVM), which, while accurate, can significantly slow down the design iteration…

Machine Learning · Computer Science 2026-03-03 Apurba Sarker

The availability of precise and accurate simulation is a limiting factor for interpreting and forecasting data in many fields of science and engineering. Often, one or more distinct simulation software applications are developed, each with…

High Energy Physics - Experiment · Physics 2025-02-19 Moritz Wolf , Lars O. Stietz , Patrick L. S. Connor , Peter Schleper , Samuel Bein

The objective of this paper is to design novel multi-layer neural network architectures for multiscale simulations of flows taking into account the observed data and physical modeling concepts. Our approaches use deep learning concepts…

Numerical Analysis · Mathematics 2018-06-14 Yating Wang , Siu Wun Cheung , Eric T. Chung , Yalchin Efendiev , Min Wang

Accurately and efficiently simulating complex fluid dynamics is a challenging task that has traditionally relied on computationally intensive methods. Neural network-based approaches, such as convolutional and graph neural networks, have…

Machine Learning · Computer Science 2025-03-14 Zeyi Xu , Jinfan Liu , Kuangxu Chen , Ye Chen , Zhangli Hu , Bingbing Ni

A major challenge in training large-scale machine learning models is configuring the training process to maximize model performance, i.e., finding the best training setup from a vast design space. In this work, we unlock a gradient-based…

Machine Learning · Statistics 2025-03-19 Logan Engstrom , Andrew Ilyas , Benjamin Chen , Axel Feldmann , William Moses , Aleksander Madry

Computational fluid dynamics (CFD) simulations of viscous fluids described by the Navier-Stokes equations are considered. Depending on the Reynolds number of the flow, the Navier-Stokes equations may exhibit a highly nonlinear behavior. The…

Numerical Analysis · Mathematics 2023-10-11 Anouk Zandbergen , Tycho van Noorden , Alexander Heinlein

Physics-informed deep learning has drawn tremendous interest in recent years to solve computational physics problems, whose basic concept is to embed physical laws to constrain/inform neural networks, with the need of less data for training…

Fluid Dynamics · Physics 2020-11-24 Chengping Rao , Hao Sun , Yang Liu

Deploying pretrained visual models in real-world environments often suffers from significant performance degradation due to the diversity of testing scenarios. Continuous adaptation of learning models on edge devices via unlabeled data…

Neural and Evolutionary Computing · Computer Science 2026-05-08 Jianming Lv , Chengjun Wang , Depin Liang , Qianli Ma , Wei Chen , Xueqi Cheng

Machine learning is gaining growing momentum in various recent models for the dynamic analysis of information flows in data communications networks. These preliminary models often rely on off-the-shelf learning models to predict from…

Machine Learning · Computer Science 2023-04-04 Xiangle Cheng , James He , Shihan Xiao , Yingxue Zhang , Zhitang Chen , Pascal Poupart , Fenglin Li

Many recent successes of machine learning went hand in hand with advances in optimization. The exchange of ideas between these fields has worked both ways, with machine learning building on standard optimization procedures such as gradient…

Optimization and Control · Mathematics 2021-10-26 Konstantin Mishchenko