Dynamic Mode Decomposition and Its Variants

DOI10.1146/annurev-fluid-030121-015835zbMath1492.76092OpenAlexW3203014670MaRDI QIDQ5081989

Peter J. Schmid

Publication date: 17 June 2022

Published in: Annual Review of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1146/annurev-fluid-030121-015835

zbMATH Keywords

dynamical systemmodel reductionspectral analysisdata decompositionKoopman analysiscomplex fluid processquantitative flow analysis

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Basic methods in fluid mechanics (76M99)

Related Items (16)

Effect of tabs on the shear layer dynamics of a jet in cross-flow ⋮ The linear-time-invariance notion of the Koopman analysis. Part 2. Dynamic Koopman modes, physics interpretations and phenomenological analysis of the prism wake ⋮ A dynamic mode decomposition technique for the analysis of non-uniformly sampled flow data ⋮ LaSDI: parametric latent space dynamics identification ⋮ Conditional space-time POD extensions for stability and prediction analysis ⋮ Canonical and noncanonical Hamiltonian operator inference ⋮ Interpolatory input and output projections for flow control ⋮ Data‐driven identification of the spatiotemporal structure of turbulent flows by streaming dynamic mode decomposition ⋮ Airfoil-based convolutional autoencoder and long short-term memory neural network for predicting coherent structures evolution around an airfoil ⋮ Constrained optimized dynamic mode decomposition with control for physically stable systems with exogeneous inputs ⋮ Probabilistic forecast of nonlinear dynamical systems with uncertainty quantification ⋮ Koopman operator learning using invertible neural networks ⋮ Dynamic mode decomposition of deformation fields in elastic and elastic-plastic solids ⋮ Identifying invariant solutions of wall-bounded three-dimensional shear flows using robust adjoint-based variational techniques ⋮ Reduced-order variational mode decomposition to reveal transient and non-stationary dynamics in fluid flows ⋮ Residual dynamic mode decomposition: robust and verified Koopmanism

This page was built for publication: Dynamic Mode Decomposition and Its Variants