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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

We present a new nonlinear mode decomposition method to visualize the decomposed flow fields, named the mode decomposing convolutional neural network autoencoder (MD-CNN-AE). The proposed method is applied to a flow around a circular…

Computational Physics · Physics 2019-12-05 Takaaki Murata , Kai Fukami , Koji Fukagata

Deep neural networks are being increasingly used for short-term traffic flow prediction, which can be generally categorized as convolutional (CNNs) or graph neural networks (GNNs). CNNs are preferable for region-wise traffic prediction by…

Physics and Society · Physics 2021-10-12 Wei Zeng , Chengqiao Lin , Kang Liu , Juncong Lin , Anthony K. H. Tung

Neural manifolds are an attractive theoretical framework for characterizing the complex behaviors of neural populations. However, many of the tools for identifying these low-dimensional subspaces are correlational and provide limited…

Neurons and Cognition · Quantitative Biology 2025-08-12 Christof Fehrman , C. Daniel Meliza

We present here a new stochastic modelling in the constitution of fluid flow reduced-order models. This framework introduces a spatially inhomogeneous random field to represent the unresolved small-scale velocity component. Such a…

Fluid Dynamics · Physics 2017-09-20 Valentin Resseguier , Etienne Mémin , Dominique Heitz , Bertrand Chapron

Diffusion models approximate the denoising distribution as a Gaussian and predict its mean, whereas flow matching models reparameterize the Gaussian mean as flow velocity. However, they underperform in few-step sampling due to…

Machine Learning · Computer Science 2025-09-03 Hansheng Chen , Kai Zhang , Hao Tan , Zexiang Xu , Fujun Luan , Leonidas Guibas , Gordon Wetzstein , Sai Bi

Modern machine learning frameworks can train neural networks using multiple nodes in parallel, each computing parameter updates with stochastic gradient descent (SGD) and sharing them asynchronously through a central parameter server. Due…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-02 Zhuojin Li , Wumo Yan , Marco Paolieri , Leana Golubchik

We aim to reconstruct the latent space dynamics of high dimensional, quasi-stationary systems using model order reduction via the spectral proper orthogonal decomposition (SPOD). The proposed method is based on three fundamental steps: in…

Numerical Analysis · Mathematics 2022-08-17 Andrea Lario , Romit Maulik , Oliver T. Schmidt , Gianluigi Rozza , Gianmarco Mengaldo

A learning method is proposed for Koopman operator-based models with the goal of improving closed-loop control behavior. A neural network-based approach is used to discover a space of observables in which nonlinear dynamics is linearly…

Optimization and Control · Mathematics 2023-03-23 Daisuke Uchida , Karthik Duraisamy

The present work proposes an inflow turbulence generation strategy using deep learning methods. This is achieved with the help of an autoencoder architecture with two different types of operational layers in the latent-space: a fully…

Fluid Dynamics · Physics 2019-10-16 Aakash Vijay Patil

Three-dimensional (3D) high-speed compressible flow is a typical nonlinear, nonequilibrium, and multiscale complex flow. Traditional fluid mechanics models, based on the quasi-continuum assumption and near-equilibrium approximation, are…

Fluid Dynamics · Physics 2025-04-14 Qinghong Guo , Yanbiao Gan , Bin Yang , Yanhong Wu , Huilin Lai , Aiguo Xu

Recently, physics-driven deep learning methods have shown particular promise for the prediction of physical fields, especially to reduce the dependency on large amounts of pre-computed training data. In this work, we target the…

Fluid Dynamics · Physics 2022-10-12 Hao Ma , Yuxuan Zhang , Nils Thuerey , Xiangyu Hu , Oskar J. Haidn

The successful integration of machine learning models into decision support tools for grid operation hinges on effectively capturing the topological changes in daily operations. Frequent grid reconfigurations and N-k security analyses have…

Systems and Control · Electrical Eng. & Systems 2025-03-05 Agnes M. Nakiganda , Spyros Chatzivasileiadis

Dynamic mode decomposition (DMD) is a powerful and increasingly popular tool for performing spectral analysis of fluid flows. However, it requires data that satisfy the Nyquist-Shannon sampling criterion. In many fluid flow experiments,…

Fluid Dynamics · Physics 2014-09-17 Jonathan H. Tu , Clarence W. Rowley , J. Nathan Kutz , Jessica K. Shang

In this study, we have explored an application of deep learning architecture of the U-Net model, originally designed for biomedical image segmentation, in a regression analysis aimed at predicting fluid flows through textured microchannels.…

Computational Engineering, Finance, and Science · Computer Science 2026-04-06 Ganesh Sahadeo Meshram , Partha Pratim Chakrabarti , Suman Chakraborty

Simple aerodynamic configurations under even modest conditions can exhibit complex flows with a wide range of temporal and spatial features. It has become common practice in the analysis of these flows to look for and extract physically…

In this letter, a physics-based data-driven strategy is developed to predict vortex-induced drag on a circular cylinder under non-uniform inflow conditions - a prevalent issue for engineering applications at moderate Reynolds numbers.…

Fluid Dynamics · Physics 2026-04-20 Jiashun Guan , Haoyang Hu , Tianfang Hao , Huimin Wang , Yunxiao Ren , Dixia Fan

Continuous Normalizing Flows (CNFs) enable elegant generative modeling but remain bottlenecked by slow sampling: producing a single sample requires solving a nonlinear ODE with hundreds of function evaluations. Recent approaches such as…

Machine Learning · Computer Science 2025-10-23 Erkan Turan , Aristotelis Siozopoulos , Louis Martinez , Julien Gaubil , Emery Pierson , Maks Ovsjanikov

A comparative assessment of machine learning (ML) methods for active flow control is performed. The chosen benchmark problem is the drag reduction of a two-dimensional K\'arm\'an vortex street past a circular cylinder at a low Reynolds…

Fluid Dynamics · Physics 2022-04-25 R. Castellanos , G. Y. Cornejo Maceda , I. de la Fuente , B. R. Noack , A. Ianiro , S. Discetti

Forecasting the future behavior of all traffic agents in the vicinity is a key task to achieve safe and reliable autonomous driving systems. It is a challenging problem as agents adjust their behavior depending on their intentions, the…

Robotics · Computer Science 2021-12-30 Edoardo Mello Rella , Jan-Nico Zaech , Alexander Liniger , Luc Van Gool