A Review on Reduced Order Modeling using DMD-Based Methods

DOI10.1007/978-3-030-21013-7_4zbMath1425.76145OpenAlexW2962925753MaRDI QIDQ4973303

José M. Vega, Soledad Le Clainche

Publication date: 3 December 2019

Published in: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-21013-7_4

zbMATH Keywords

cylinder wakehigher order dynamic mode decompositiondata driven reduced order modelsdata forecasting in wind turbinestemporal extrapolation from spatio-temporal databases

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Finite element methods applied to problems in fluid mechanics (76M10) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Wakes and jets (76D25)

Related Items (1)

Unveiling the competitive role of global modes in the pattern formation of rotating sphere flows

Uses Software

• Nek5000
• redbKIT
• GitHub
• HODMD

Cites Work

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• Tensor Decompositions and Applications
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• Spatio-temporal Koopman decomposition
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• Variants of dynamic mode decomposition: boundary condition, Koopman, and Fourier analyses
• On dynamic mode decomposition: theory and applications
• The proper generalized decomposition for advanced numerical simulations. A primer
• Construction of Bifurcation Diagrams Using POD on the Fly
• Adaptive POD-based low-dimensional modeling supported by residual estimates
• Dynamic mode decomposition of numerical and experimental data
• A finite-element study of the onset of vortex shedding in flow past variously shaped bodies
• Bénard-von Kármán instability: transient and forced regimes
• Turbulence and the dynamics of coherent structures. I. Coherent structures
• Three-dimensional Floquet stability analysis of the wake of a circular cylinder
• Active control of transonic buffet flow
• Accelerating oil reservoir simulations using POD on the fly
• Symmetry breaking of two-dimensional time-periodic wakes
• Higher Order Dynamic Mode Decomposition
• Nonlinear Model Order Reduction via Dynamic Mode Decomposition
• Reduced Basis Methods for Partial Differential Equations

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