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We introduce a new method for speeding up the inference of deep neural networks. It is somewhat inspired by the reduced-order modeling techniques for dynamical systems.The cornerstone of the proposed method is the maximum volume algorithm.…

Machine Learning · Computer Science 2020-11-26 Julia Gusak , Talgat Daulbaev , Evgeny Ponomarev , Andrzej Cichocki , Ivan Oseledets

There is a critical need for efficient and reliable active flow control strategies to reduce drag and noise in aerospace and marine engineering applications. While traditional full-order models based on the Navier-Stokes equations are not…

Fluid Dynamics · Physics 2022-11-02 Indu Kant Deo , Rui Gao , Rajeev Jaiman

A deep-learning-based surrogate model capable of predicting flow and geomechanical responses in CO2 storage operations is presented and applied. The 3D recurrent R-U-Net model combines deep convolutional and recurrent neural networks to…

Machine Learning · Computer Science 2021-05-05 Meng Tang , Xin Ju , Louis J. Durlofsky

Two data-driven modal analysis approaches, proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD), are applied to analyze the unsteady flow obtained by solving the Reynolds-averaged Navier-Stokes (RANS) equations in a…

Fluid Dynamics · Physics 2026-03-27 Yalu Zhu , Feng Liu

Finite element modeling is a well-established tool for structural analysis, yet modeling complex structures often requires extensive pre-processing, significant analysis effort, and considerable time. This study addresses this challenge by…

Mapping near-field pollutant concentration is essential to track accidental toxic plume dispersion in urban areas. By solving a large part of the turbulence spectrum, large-eddy simulations (LES) have the potential to accurately represent…

Machine Learning · Statistics 2022-08-03 Bastien X Nony , Mélanie Rochoux , Thomas Jaravel , Didier Lucor

We use a data-driven approach to model a three-dimensional turbulent flow using cutting-edge Deep Learning techniques. The deep learning framework incorporates physical constraints on the flow, such as preserving incompressibility and…

Fluid Dynamics · Physics 2021-12-08 Mohammadreza Momenifar , Enmao Diao , Vahid Tarokh , Andrew D. Bragg

This article provides a reduced-order modelling framework for turbulent compressible flows discretized by the use of finite volume approaches. The basic idea behind this work is the construction of a reduced-order model capable of providing…

Fluid Dynamics · Physics 2024-05-31 Matteo Zancanaro , Valentin Nkana Ngan , Giovanni Stabile , Gianluigi Rozza

Turbulence modeling remains a longstanding challenge in fluid dynamics. Recent advances in data-driven methods have led to a surge of novel approaches aimed at addressing this problem. This work builds upon our recent work [Phys. Rev.…

Fluid Dynamics · Physics 2026-02-24 André Freitas , Kiwon Um , Mathieu Desbrun , Michele Buzzicotti , Luca Biferale

In recent years, data-driven deep learning models have gained significant interest in the analysis of turbulent dynamical systems. Within the context of reduced-order models (ROMs), convolutional autoencoders (CAEs) pose a universally…

Proper orthogonal decomposition (POD) allows reduced-order modeling of complex dynamical systems at a substantial level, while maintaining a high degree of accuracy in modeling the underlying dynamical systems. Advances in machine learning…

Machine Learning · Computer Science 2023-03-13 Justin Baker , Elena Cherkaev , Akil Narayan , Bao Wang

This paper aims to comprehensively investigate the efficacy of various Model Order Reduction (MOR) and deep learning techniques in predicting heat transfer in a pulsed jet impinging on a concave surface. Expanding on the previous…

Numerical Analysis · Mathematics 2024-02-19 Sajad Salavatidezfouli , Saeid Rakhsha , Armin Sheidani , Giovanni Stabile , Gianluigi Rozza

Dimension reduction is a fundamental tool for analyzing high-dimensional data in supervised learning. Traditional methods for estimating intrinsic order often prioritize model-specific structural assumptions over predictive utility. This…

Methodology · Statistics 2026-01-16 Yue Yu , Guanghui Wang , Liu Liu , Changliang Zou

Analyzing large-scale data from simulations of turbulent flows is memory intensive, requiring significant resources. This major challenge highlights the need for data compression techniques. In this study, we apply a physics-informed Deep…

Fluid Dynamics · Physics 2022-07-26 Mohammadreza Momenifar , Enmao Diao , Vahid Tarokh , Andrew D. Bragg

Compressed Deep Learning (DL) models are essential for deployment in resource-constrained environments. But their performance often lags behind their large-scale counterparts. To bridge this gap, we propose Alignment Adapter (AlAd): a…

Machine Learning · Computer Science 2026-02-17 Rohit Raj Rai , Abhishek Dhaka , Amit Awekar

The use of deep learning methods for modeling fluid flow has drawn a lot of attention in the past few years. In situations where conventional numerical approaches can be computationally expensive, these techniques have shown promise in…

This paper proposes a new data assimilation method for recovering high fidelity turbulent flow field around airfoil at high Reynolds numbers based on experimental data, which is called Proper Orthogonal Decomposition Inversion…

Fluid Dynamics · Physics 2020-07-14 Yilang Liu , Weiwei Zhang

Reduced-order models, also known as proxy model or surrogate model, are approximate models that are less computational expensive as opposed to fully descriptive models. With the integration of machine learning, these models have garnered…

Machine Learning · Computer Science 2024-10-15 Jungang Chen , Eduardo Gildin , John Killough

Neural operators are promising surrogates for dynamical systems but when trained with standard L2 losses they tend to oversmooth fine-scale turbulent structures. Here, we show that combining operator learning with generative modeling…

Trained neural networks (NN) have attractive features for closing governing equations. There are many methods that are showing promise, but all can fail in cases when small errors consequentially violate physical reality, such as a solution…

Machine Learning · Computer Science 2024-12-05 Seung Won Suh , Jonathan F MacArt , Luke N Olson , Jonathan B Freund