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In many applications, flow measurements are usually sparse and possibly noisy. The reconstruction of a high-resolution flow field from limited and imperfect flow information is significant yet challenging. In this work, we propose an…

Computational Physics · Physics 2020-01-17 Luning Sun , Jian-Xun Wang

This paper proposes a method for reconstructing three-dimensional turbulent flows from sparse measurements without the need for ground truth data during training. A weight-sharing network is developed to infer the full flow fields from…

Fluid Dynamics · Physics 2026-03-11 Yaxin Mo , Luca Magri

In many applications, it is important to reconstruct a fluid flow field, or some other high-dimensional state, from limited measurements and limited data. In this work, we propose a shallow neural network-based learning methodology for such…

Obtaining system parameters and reconstructing the full flow state from limited velocity observations using conventional fluid dynamics solvers can be prohibitively expensive. Here we employ machine learning algorithms to overcome the…

Fluid Dynamics · Physics 2024-10-17 Vladimir Parfenyev , Mark Blumenau , Ilia Nikitin

Reconstructing flow fields from sparse measurements is a fundamental problem in fluid mechanics with broad implications for modeling, control, and design. In this work, we propose a novel operator learning framework that leverages the…

Computational Engineering, Finance, and Science · Computer Science 2026-05-25 Qian Zhang , George Em Karniadakis

Many applications in computational and experimental fluid mechanics require effective methods for reconstructing the flow fields from limited sensor data. However, this task remains a significant challenge because the measurement operator,…

Fluid Dynamics · Physics 2024-11-22 Phong C. H. Nguyen , Joseph B. Choi , Quang-Trung Luu

In many practical fluid dynamics experiments, measuring variables such as velocity and pressure is possible only at a limited number of sensor locations, \textcolor{black}{for a few two-dimensional planes, or for a small 3D domain in the…

Fluid Dynamics · Physics 2023-07-14 Ali Girayhan Özbay , Sylvain Laizet

This paper presents a novel machine-learning framework for reconstructing low-order gust-encounter flow field and lift coefficients from sparse, noisy surface pressure measurements. Our study thoroughly investigates the time-varying…

Machine Learning · Computer Science 2025-06-25 Hanieh Mousavi , Jeff D. Eldredge

Most compressed sensing algorithms do not account for the effect of saturation in noisy compressed measurements, though saturation is an important consequence of the limited dynamic range of existing sensors. The few algorithms that handle…

Machine Learning · Computer Science 2021-02-09 Shuvayan Banerjee , Radhe Srivastava , Ajit Rajwade

In many applications it is important to estimate a fluid flow field from limited and possibly corrupt measurements. Current methods in flow estimation often use least squares regression to reconstruct the flow field, finding the…

Fluid Dynamics · Physics 2019-11-06 Jared Callaham , Kazuki Maeda , Steven L. Brunton

Reconstruction of unsteady vortical flow fields from limited sensor measurements is challenging. We develop machine learning methods to reconstruct flow features from sparse sensor measurements during transient vortex-airfoil wake…

Fluid Dynamics · Physics 2023-06-21 Yonghong Zhong , Kai Fukami , Byungjin An , Kunihiko Taira

The reconstruction of unsteady flow fields from limited measurements is a challenging and crucial task for many engineering applications. Machine learning models are gaining popularity for solving this problem due to their ability to learn…

Fluid Dynamics · Physics 2026-01-09 Marc Amorós-Trepat , Luis Medrano-Navarro , Qiang Liu , Luca Guastoni , Nils Thuerey

Reconstructing high-resolution flow fields from sparse measurements is a major challenge in fluid dynamics. Existing methods often vectorize the flow by stacking different spatial directions on top of each other, hence confounding the…

Fluid Dynamics · Physics 2023-05-17 Mohammad Farazmand , Arvind K. Saibaba

Reconstruction of fine-scale information from sparse data is relevant to many practical fluid dynamic applications where the sensing is typically sparse. Fluid flows in an ideal sense are manifestations of nonlinear multiscale PDE dynamical…

Computational Physics · Physics 2020-10-28 Chen Lu , Balaji Jayaraman

Novel experimental modalities acquire spatially resolved velocity measurements for steady state and transient flows which are of interest for engineering and biological applications. One of the drawbacks of such high resolution velocity…

Numerical Analysis · Mathematics 2015-12-31 H. Egger , T. Seitz , C. Tropea

A model based on a convolutional neural network (CNN) is designed to reconstruct the three-dimensional turbulent flows beneath a free surface using surface measurements, including the surface elevation and surface velocity. Trained on…

Fluid Dynamics · Physics 2023-04-12 Anqing Xuan , Lian Shen

In this article, we propose a methodology to reconstruct, in a single step, the mean- and unsteady properties of a flow from very few time-resolved measurements. The procedure is based on the {\it a priori} alignement of Fourier- and…

Fluid Dynamics · Physics 2021-02-09 Lucas Franceschini , Denis Sipp , Olivier Marquet

Machine learning offers an intriguing alternative to first-principles analysis for discovering new physics from experimental data. However, to date, purely data-driven methods have only proven successful in uncovering physical laws…

Despite their widespread use, purely data-driven methods often suffer from overfitting, lack of physical consistency, and high data dependency, particularly when physical constraints are not incorporated. This study introduces a novel data…

Fluid Dynamics · Physics 2025-07-28 M. Quattromini , M. A. Bucci , S. Cherubini , O. Semeraro

Blood flow imaging provides important information for hemodynamic behavior within the vascular system and plays an essential role in medical diagnosis and treatment planning. However, obtaining high-quality flow images remains a significant…

Numerical Analysis · Mathematics 2026-04-02 Han Zhang , Xue-Cheng Tai , Jean-Michel Morel , Raymond H. Chan
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