LAPSE:2023.22920
Published Article

LAPSE:2023.22920
Dynamic Mode Decomposition Analysis of Spatially Agglomerated Flow Databases
March 24, 2023
Abstract
Dynamic Mode Decomposition (DMD) techniques have risen as prominent feature identification methods in the field of fluid dynamics. Any of the multiple variables of the DMD method allows to identify meaningful features from either experimental or numerical flow data on a data-driven manner. Performing a DMD analysis requires handling matrices V ∈ R n p × N , where n p and N are indicative of the spatial and temporal resolutions. The DMD analysis of a complex flow field requires long temporal sequences of well resolved data, and thus the memory footprint may become prohibitively large. In this contribution, the effect that principled spatial agglomeration (i.e., reduction in n p via clustering) has on the results derived from the DMD analysis is investigated. We compare twelve different clustering algorithms on three testcases, encompassing different flow regimes: a synthetic flow field, a R e D = 60 flow around a cylinder cross section, and a R e τ ≈ 200 turbulent channel flow. The performance of the clustering techniques is thoroughly assessed concerning both the accuracy of the results retrieved and the computational performance. From this assessment, we identify DBSCAN/HDBSCAN as the methods to be used if only relatively high agglomeration levels are affordable. On the contrary, Mini-batch K-means arises as the method of choice whenever high agglomeration n p ˜ / n p ≪ 1 is possible.
Dynamic Mode Decomposition (DMD) techniques have risen as prominent feature identification methods in the field of fluid dynamics. Any of the multiple variables of the DMD method allows to identify meaningful features from either experimental or numerical flow data on a data-driven manner. Performing a DMD analysis requires handling matrices V ∈ R n p × N , where n p and N are indicative of the spatial and temporal resolutions. The DMD analysis of a complex flow field requires long temporal sequences of well resolved data, and thus the memory footprint may become prohibitively large. In this contribution, the effect that principled spatial agglomeration (i.e., reduction in n p via clustering) has on the results derived from the DMD analysis is investigated. We compare twelve different clustering algorithms on three testcases, encompassing different flow regimes: a synthetic flow field, a R e D = 60 flow around a cylinder cross section, and a R e τ ≈ 200 turbulent channel flow. The performance of the clustering techniques is thoroughly assessed concerning both the accuracy of the results retrieved and the computational performance. From this assessment, we identify DBSCAN/HDBSCAN as the methods to be used if only relatively high agglomeration levels are affordable. On the contrary, Mini-batch K-means arises as the method of choice whenever high agglomeration n p ˜ / n p ≪ 1 is possible.
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Keywords
clustering algorithms, dynamic mode decomposition, feature detection, flow reconstruction, Machine Learning, modal decompositions, spatial agglomeration, turbulent flows
Subject
Suggested Citation
Li B, Garicano-Mena J, Zheng Y, Valero E. Dynamic Mode Decomposition Analysis of Spatially Agglomerated Flow Databases. (2023). LAPSE:2023.22920
Author Affiliations
Li B: Center for Engineering and Scientific Computation, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China; ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, 28040 Madrid, Spain [ORCID]
Garicano-Mena J: ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, 28040 Madrid, Spain [ORCID]
Zheng Y: Center for Engineering and Scientific Computation, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China [ORCID]
Valero E: ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, 28040 Madrid, Spain
Garicano-Mena J: ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, 28040 Madrid, Spain [ORCID]
Zheng Y: Center for Engineering and Scientific Computation, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China [ORCID]
Valero E: ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, 28040 Madrid, Spain
Journal Name
Energies
Volume
13
Issue
9
Article Number
E2134
Year
2020
Publication Date
2020-04-28
ISSN
1996-1073
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Original Submission
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PII: en13092134, Publication Type: Journal Article
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LAPSE:2023.22920
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https://doi.org/10.3390/en13092134
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Mar 24, 2023
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