Variational assimilation of POD low-order dynamical systems

DOI10.1080/14685240701242385zbMath1273.76133OpenAlexW2149196820MaRDI QIDQ2853802

Nicolas Papadakis, Guillermo Artana, Juan D'Adamo, Etienne Mémin

Publication date: 17 October 2013

Published in: Journal of Turbulence (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14685240701242385

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Finite element methods applied to problems in fluid mechanics (76M10) Dynamical systems approach to turbulence (76F20)

Related Items (7)

Reconstruction of unsteady viscous flows using data assimilation schemes ⋮ A few techniques to improve data-driven reduced-order simulations for unsteady flows ⋮ Strong and weak constraint variational assimilations for reduced order fluid flow modeling ⋮ Small-scale reconstruction in three-dimensional Kolmogorov flows using four-dimensional variational data assimilation ⋮ Stochastic modelling and diffusion modes for proper orthogonal decomposition models and small-scale flow analysis ⋮ 4D large scale variational data assimilation of a turbulent flow with a dynamics error model ⋮ Real-time estimation and prediction of unsteady flows using reduced-order models coupled with few measurements

Cites Work

• Turbulence and the dynamics of coherent structures. I. Coherent structures
• Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders
• Low-dimensional description of free-shear-flow coherent structures and their dynamical behaviour
• Turbulence, Coherent Structures, Dynamical Systems and Symmetry
• Investigations of boundary layer transition via Galerkin projections on empirical eigenfunctions
• Intermodal energy transfers in a proper orthogonal decomposition–Galerkin representation of a turbulent separated flow
• A hierarchy of low-dimensional models for the transient and post-transient cylinder wake

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