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Artificial Intelligence in Experimental Fluid Mechanics: Particle-based Optical Flow Estimation
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Fluid and Experimental Mechanics.ORCID iD: 0009-0005-5670-2022
2026 (English)Doctoral thesis, comprehensive summary (Other academic)Alternative title
Artificiell Intelligens i Experimentell Strömningsmekanik : Partikelbaserad Optisk Flödesuppskattning (Swedish)
Abstract [en]

Artificial intelligence (AI) is reshaping the landscape of experimental fluid mechanics by transforming how flow information is extracted, interpreted, and modeled. Despite its potential, adoption remains cautious, constrained by the perception that Artificial Neural Networks (ANNs) operate as opaque 'black boxes' lacking explicit physical grounding. This dissertation addresses that skepticism by demonstrating that, when purposefully designed, adapted, and constrained by governing equations, Deep Learning can function as a transparent and reliable extension of classical measurement science, capable of reconstructing temporally consistent and physically meaningful results directly from raw measurements. As experimental and computational capabilities expand, fluid mechanics now operate in a regime where the volume, resolution, and dimensionality of data far exceed what classical analysis frameworks were designed to handle. Extracting coherent flow information from such datasets requires methods capable of modeling nonlinear image dynamics, capturing long-range spatial interactions, and integrating temporal evolution. Deep Learning, with its inherent quality of hierarchical representation learning, offers an alternative paradigm: one that learns motion representations directly from raw experimental data. However, its successful integration into measurement science requires rigorous benchmarking, explicit physical grounding, and architectural innovation. This work advances the state-of-the-art in Particle Image Velocimetry (PIV) through the development of Deep Learning-based architectures for optical flow estimation, that couple spatial attention, temporal reasoning, and physics-informed learning.

The thesis begins with a systematic experimental evaluation of recurrent optical-flow estimation neural networks on canonical cylinder-wake datasets, quantifying how performance of these networks varies with seeding density, particle size, and flow regime (Paper A). These analyses reveal that while well-established Deep Learning-based models for PIV, such as RAFT-PIV (Recurrent All-Pairs Field Transforms) successfully recover dominant flow structures, their accuracy degrades in regions of strong shear, separation, or low signal-to-noise ratio, highlighting the need for architectures that reason globally and adapt to experimental variability. To address these limitations, a Vision Transformer (ViT)-based architecture, Twins-PIVNet, is introduced to leverage spatial self-attention for capturing multi-scale particle motion beyond the reach of conventional convolutional networks (Paper B). By learning global contextual relationships directly from raw particle images, Twins-PIVNet improves robustness and accuracy across a broad range of flow regimes and achieves sub-second inference, demonstrating the effectiveness of attention-based feature extraction for handling real-world PIV complexity.

Temporal coherence, an essential yet often overlooked attribute of experimental velocimetry, is then addressed through TriP-Net model, a multi-frame architecture that departs from the traditional two-frame paradigm used in most Deep Learning-based PIV (Paper C). By incorporating three consecutive particle images, TriP-Net captures higher-order temporal dynamics, yielding velocity fields with smoother evolution and reduced continuity errors. Building on this foundation, the framework is further extended into ADHD-PIV, a physics-informed architecture trained on four-frame sequences (Paper D). By coupling self-attention with recurrent updates and embedding adaptively weighted divergence and acceleration constraints, ADHD-PIV produces flow fields that better respect conservation laws and maintain stability over extended temporal windows. Together, these contributions move Deep Learning-based PIV from purely spatial inference toward fully temporal, physics-constrained flow reconstruction.

Collectively, these developments establish a unified and scalable methodology for Deep Learning in experimental fluid mechanics, one that is data-efficient, interpretable, and firmly grounded in physical principles. The models presented in this thesis reconstruct flow fields with sub-pixel precision and enhanced temporal coherence, enabling real-time analysis suitable for intelligent Digital Twins and advanced optical metrology (Paper E). By integrating high-fidelity experiments with self-supervised and physics-aware learning strategies, the work demonstrates how AI can evolve from a post-processing tool into a core component of measurement science, supporting real-time sensing, predictive diagnostics, and adaptive control. Ultimately, this thesis contributes both conceptually and practically to the integration of Artificial Intelligence in fluid mechanics, showing that trust in artificial neural networks arises not from revealing their internal algebra but from embedding the governing laws of fluid motion within them. The findings redefine how experimental flow measurements are performed and offer a pathway toward autonomous diagnostics and adaptive Digital Twin systems for complex thermal–fluid environments.

Place, publisher, year, edition, pages
Luleå: Luleå University of Technology, 2026.
Series
Doctoral thesis / Luleå University of Technology 1 jan 1997 → …, ISSN 1402-1544
Keywords [en]
deep learning, optical flow estimation, non-intrusive flow visualization, particle image velocimetry, experimental fluid mechanics
National Category
Fluid Mechanics
Research subject
Experimental Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-115625ISBN: 978-91-8048-959-1 (print)ISBN: 978-91-8048-960-7 (electronic)OAI: oai:DiVA.org:ltu-115625DiVA, id: diva2:2017662
Public defence
2026-02-13, E632, Luleå University of Technology, Luleå, 09:00 (English)
Opponent
Supervisors
Available from: 2025-12-01 Created: 2025-12-01 Last updated: 2026-01-23Bibliographically approved
List of papers
1. Experimental dataset investigation of deep recurrent optical flow learning for particle image velocimetry: flow past a circular cylinder
Open this publication in new window or tab >>Experimental dataset investigation of deep recurrent optical flow learning for particle image velocimetry: flow past a circular cylinder
2024 (English)In: Measurement science and technology, ISSN 0957-0233, E-ISSN 1361-6501, Vol. 35, no 8, article id 085402Article in journal (Refereed) Published
Abstract [en]

Current optical flow-based neural networks for particle image velocimetry (PIV) are largely trained on synthetic datasets emulating real-world scenarios. While synthetic datasets provide greater control and variation than what can be achieved using experimental datasets for supervised learning, it requires a deeper understanding of how or what factors dictate the learning behaviors of deep neural networks for PIV. In this study, we investigate the performance of the recurrent all-pairs field transforms-PIV (RAFTs-PIV) network, the current state-of-the-art deep learning architecture for PIV, by testing it on unseen experimentally generated datasets. The results from RAFT-PIV are compared with a conventional cross-correlation-based method, Adaptive PIV. The experimental PIV datasets were generated for a typical scenario of flow past a circular cylinder in a rectangular channel. These test datasets encompassed variations in particle diameters, particle seeding densities, and flow speeds, all falling within the parameter range used for training RAFT-PIV. We also explore how different image pre-processing techniques can impact and potentially enhance the performance of RAFT-PIV on real-world datasets. Thorough testing with real-world experimental PIV datasets reveals the resilience of the optical flow-based method's variations to PIV hyperparameters, in contrast to the conventional PIV technique. The ensemble-averaged root mean squared errors between the RAFT-PIV and Adaptive PIV estimations generally range between 0.5–2 (px) and show a slight reduction as particle densities increase or Reynolds numbers decrease. Furthermore, findings indicate that employing image pre-processing techniques to enhance input particle image quality does not improve RAFT-PIV predictions; instead, it incurs higher computational costs and impacts estimations of small-scale structures.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2024
Keywords
particle image velocimetry, experimental dataset, deep learning, optical flow
National Category
Fluid Mechanics Other Engineering and Technologies
Research subject
Experimental Mechanics
Identifiers
urn:nbn:se:ltu:diva-105449 (URN)10.1088/1361-6501/ad4387 (DOI)001215214500001 ()2-s2.0-85192673315 (Scopus ID)
Conference
20th International Symposium on Flow Visualization (ISFV20), Delft, Netherlands, July 10-13, 2023
Note

Validerad;2024;Nivå 2;2024-08-12 (hanlid);

Full text license: CC BY 4.0; 

Part of special issue: The 20th International Symposium on Flow Visualization (ISFV20)

Available from: 2024-05-13 Created: 2024-05-13 Last updated: 2025-12-01Bibliographically approved
2. Twins-PIVNet: Spatial attention-based deep learning framework for particle image velocimetry using Vision Transformer
Open this publication in new window or tab >>Twins-PIVNet: Spatial attention-based deep learning framework for particle image velocimetry using Vision Transformer
2025 (English)In: Ocean Engineering, ISSN 0029-8018, E-ISSN 1873-5258, Vol. 318, article id 120205Article in journal (Refereed) Published
Abstract [en]

Particle Image Velocimetry (PIV) for flow visualization has advanced with the integration of deep learning algorithms. These methods enable end-to-end processing, extracting dense flow fields directly from raw particle images. However, conventional deep learning-based PIV models, which predominantly rely on convolutional architectures, are limited in their ability to utilize contextual information and capture dependencies between pixels across sequential images, impacting the prediction accuracy. We introduce Twins-PIVNet, a deep learning framework for PIV optical flow estimation that leverages a spatial attention-based vision transformer architecture. Its self-attention mechanism captures multi-scale features of particle motion, significantly improving the dense flow field estimation. Trained on synthetic PIV datasets covering a wide range of flow conditions, Twins-PIVNet has been evaluated on both synthetic and experimental datasets, demonstrating superior accuracy and performance. In comparative studies, Twins-PIVNet outperforms existing optical flow and conventional methods, achieving accuracy improvements of 51% for backstep flow, 42% for DNS-turbulence, and 33% for surface quasi-geostrophic flow. Additionally, it also exhibits strong generalization on experimental PIV data, demonstrating robustness in handling real-world PIV uncertainties. Despite its attention mechanism, Twins-PIVNet maintains faster inference and training times compared to other PIV models, offering an optimal balance between complexity, efficiency, and performance.

Place, publisher, year, edition, pages
Elsevier, 2025
Keywords
particle image velocimetry, deep learning, vision transformer, self-attention, optical flow estimation
National Category
Fluid Mechanics
Research subject
Experimental Mechanics; Fluid Mechanics
Identifiers
urn:nbn:se:ltu:diva-110244 (URN)10.1016/j.oceaneng.2024.120205 (DOI)001402567400001 ()2-s2.0-85212978937 (Scopus ID)
Note

Validerad;2025;Nivå 2;2025-01-02 (signyg);

Fulltext license: CC BY;

This article has previously appeared as a manuscript in a thesis

Available from: 2024-10-04 Created: 2024-10-04 Last updated: 2025-12-04Bibliographically approved
3. Deep optical flow estimation framework for time-resolved particle image velocimetry using self-attention and global motion aggregation
Open this publication in new window or tab >>Deep optical flow estimation framework for time-resolved particle image velocimetry using self-attention and global motion aggregation
(English)Manuscript (preprint) (Other academic)
National Category
Fluid Mechanics
Research subject
Experimental Mechanics
Identifiers
urn:nbn:se:ltu:diva-115619 (URN)
Available from: 2025-12-01 Created: 2025-12-01 Last updated: 2025-12-02
4. ADHD-PIV: Attention-Driven Higher-order moments Deep Learning for optical flow estimation in Particle Image Velocimetry
Open this publication in new window or tab >>ADHD-PIV: Attention-Driven Higher-order moments Deep Learning for optical flow estimation in Particle Image Velocimetry
(English)Manuscript (preprint) (Other academic)
National Category
Fluid Mechanics
Research subject
Experimental Mechanics; Fluid Mechanics
Identifiers
urn:nbn:se:ltu:diva-115624 (URN)
Available from: 2025-12-01 Created: 2025-12-01 Last updated: 2025-12-02
5. Deep learning-based optical metrology for real-time sensing: optical flow estimation
Open this publication in new window or tab >>Deep learning-based optical metrology for real-time sensing: optical flow estimation
2025 (English)In: Proceedings of SPIE: Multimodal Sensing and Artificial Intelligence for Sustainable Future / [ed] Francesco Soldovieri, Pascal Picart, Vittorio Bianco, Claas Falldorf, SPIE - The International Society for Optics and Photonics, 2025, Vol. 13570, article id 135700KConference paper, Published paper (Refereed)
Place, publisher, year, edition, pages
SPIE - The International Society for Optics and Photonics, 2025
Series
Proceedings of SPIE, ISSN 0277-786X, E-ISSN 1996-756X
Keywords
Deep learning, Digital Twins, real-time sensing, non-intrusive testing, optical flow visualization
National Category
Fluid Mechanics
Research subject
Experimental Mechanics
Identifiers
urn:nbn:se:ltu:diva-114450 (URN)10.1117/12.3062529 (DOI)
Conference
SPIE Optical Metrology, June 23 - 26 2025, Munich, Germany
Note

ISBN for host publication: 9781510690486, 9781510690493;

Available from: 2025-08-26 Created: 2025-08-26 Last updated: 2025-12-01Bibliographically approved

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Anjaneya Reddy, Yuvarajendra

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