Establishing direct phenomenological connections between fluid and structure by the Koopman-Linearly Time-Invariant analysis

In this work, we introduce a novel data-driven formulation, the Koopman-Linearly Time-Invariant (Koopman-LTI) analysis, for analyzing Fluid-Structure Interactions (FSI). An implementation of the Koopman-LTI on a subcritical free-shear flow over a prism at Re = 22 000 corroborated a configuration-wis...

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Bibliographic Details
Published inPhysics of fluids (1994) Vol. 33; no. 12
Main Author Weerasuriya, Asiri Umenga
Format Journal Article
LanguageEnglish
Published Melville American Institute of Physics 01.12.2021
Subjects
Configurations
Constitutive relationships
Dynamical systems
Fluid dynamics
Fluid flow
Fluid-structure interaction
Invariants
Nonlinear dynamics
Phenomenology
Physics
Shear flow
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Summary:In this work, we introduce a novel data-driven formulation, the Koopman-Linearly Time-Invariant (Koopman-LTI) analysis, for analyzing Fluid-Structure Interactions (FSI). An implementation of the Koopman-LTI on a subcritical free-shear flow over a prism at Re = 22 000 corroborated a configuration-wise universal Koopman system, which approximated the configuration's nonlinear dynamics with stellar accuracy. The Koopman-LTI also successfully decomposed the entwined morphologies of raw measurement into a linear superposition of frequency-based constituents. Most importantly, with random and anisotropic turbulence, the Koopman-LTI yielded frequency-wise identical modes for structure response and fluid excitation, thus establishing direct constitutive relations between the phenomenology of fluid and structure.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Correspondence-1
content type line 14
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0075664