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Thermal-Hydraulic (TH) experiments provide valuable insight into the physics of heat and mass transfer and qualified data for code development, calibration and validation. However, measurements are typically collected from sparsely…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Xicheng Wang , Yun. Feng , Dmitry Grishchenko , Pavel Kudinov , Ruifeng Tian , Sichao Tan

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

We propose a data-driven algorithm for reconstructing the irregular, chaotic flow dynamics around two side-by-side square cylinders from sparse, time-resolved, velocity measurements in the wake. We use Proper Orthogonal Decomposition (POD)…

Fluid Dynamics · Physics 2022-09-08 Flavio Savarino , George Papadakis

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

Estimating time-resolved velocity and pressure fields from Particle Image Velocimetry (PIV) remains challenging due to its limited temporal resolution in many applications. Data-driven approaches that combine snapshot PIV with…

Fluid Dynamics · Physics 2026-05-28 Junwei Chen , Marco Raiola , Stefano Discetti

We present a novel method for reconstructing the thermal conductivity coefficient in 1D and 2D heat equations using moving sensors that dynamically traverse the domain to record sparse and noisy temperature measurements. We significantly…

Numerical Analysis · Mathematics 2024-10-31 Guangting Yu , Shiwei Lan , Kookjin Lee , Alex Mahalov

This study focuses on the stratification patterns and dynamic evolution of reservoir water temperatures, aiming to estimate and reconstruct the temperature field using limited and noisy local measurement data. Due to complex measurement…

Machine Learning · Computer Science 2025-02-21 Qianyu He , Huaiwei Sun , Yubo Li , Zhiwen You , Qiming Zheng , Yinghan Huang , Sipeng Zhu , Fengyu Wang

Particle Imaging Velocimetry (PIV) estimates the flow of fluid by analyzing the motion of injected particles. The problem is challenging as the particles lie at different depths but have similar appearance and tracking a large number of…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Zhong Li , Jinwei Ye , Yu Ji , Hao Sheng , Jingyi Yu

We present a sparse sensing framework based on Dynamic Mode Decomposition (DMD) to identify flow regimes and bifurcations in large-scale thermo-fluid systems. Motivated by real-time sensing and control of thermal-fluid flows in buildings…

Dynamical Systems · Mathematics 2017-06-26 Boris Kramer , Piyush Grover , Petros Boufounos , Mouhacine Benosman , Saleh Nabi

A data-driven algorithm is proposed that employs sparse data from velocity and/or scalar sensors to forecast the future evolution of three dimensional turbulent flows. The algorithm combines time-delayed embedding together with Koopman…

Fluid Dynamics · Physics 2026-03-04 George Papadakis , Shengqi Lu

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

Flow-field reconstruction from sparse sensor measurements remains a central challenge in modern fluid dynamics, as the need for high-fidelity data often conflicts with practical limits on sensor deployment. Existing deep learning-based…

Computational Engineering, Finance, and Science · Computer Science 2026-05-15 Ruoyan Li , Guancheng Wan , Zijie Huang , Zixiao Liu , Haixin Wang , Xiao Luo , Wei Wang , Yizhou Sun

We introduce Recurrent All-Pairs Field Transforms for Stereoscopic Particle Image Velocimetry (RAFT-StereoPIV). Our approach leverages deep optical flow learning to analyze time-resolved and double-frame particle images from on-site…

This paper presents a high speed implementation of an optical flow algorithm which computes planar velocity fields in an experimental flow. Real-time computation of the flow velocity field allows the experimentalist to have instantaneous…

Fluid Dynamics · Physics 2013-09-26 N. Gautier , J-L. Aider

A quantitative evaluation method for a reduced-order model of the flow field around an NACA0015 airfoil based on particle image velocimetry (PIV) data is proposed in the present paper. The velocity field data obtained by the time-resolved…

Fluid Dynamics · Physics 2021-05-03 Taku Nonomura , Koki Nankai , Yuto Iwasaki , Atsushi Komuro , Keisuke Asai

Particle Image Velocimetry (PIV) is a widely adopted non-invasive imaging technique that tracks the motion of tracer particles across image sequences to capture the velocity distribution of fluid flows. It is commonly employed to analyze…

Computer Vision and Pattern Recognition · Computer Science 2026-01-05 Yunzhong Zhang , Bo Xiong , You Zhou , Changqing Su , Zhen Cheng , Zhaofei Yu , Xun Cao , Tiejun Huang

The present study proposed the framework of the spatiotemporal superresolution measurement based on the sparse regression with dimensionality reduction using the proper orthogonal decomposition (POD). The non-time-resolved particle image…

Fluid Dynamics · Physics 2022-07-27 Yuta Ozawa , Takayuki Nagata , Taku Nonomura

We present a novel method for the classification and reconstruction of time dependent, high-dimensional data using sparse measurements, and apply it to the flow around a cylinder. Assuming the data lies near a low dimensional manifold…

Dynamical Systems · Mathematics 2015-06-03 Ido Bright , Guang Lin , J. Nathan Kutz

We propose a novel method for model-based time super-sampling of turbulent flow fields. The key enabler is the identification of an empirical Galerkin model from the projection of the Navier-Stokes equations on a data-tailored basis. The…

3D Particle Imaging Velocimetry (3D-PIV) aim to recover the flow field in a volume of fluid, which has been seeded with tracer particles and observed from multiple camera viewpoints. The first step of 3D-PIV is to reconstruct the 3D…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Katrin Lasinger , Christoph Vogel , Thomas Pock , Konrad Schindler
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