Model order reduction using sparse coding exemplified for the lid-driven cavity

DOI10.1017/jfm.2016.616zbMath1383.76334OpenAlexW2541992043MaRDI QIDQ5360539

Zico Kolter, Zongxian Liang, Jack J. McNamara, Rohit Deshmukh, Abhijit Gogulapati

Publication date: 28 September 2017

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

Full work available at URL: https://doi.org/10.1017/jfm.2016.616

zbMATH Keywords

computational methodsnonlinear dynamical systemslow-dimensional models

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (2)

A priori sparsification of Galerkin models ⋮ 9 From the POD-Galerkin method to sparse manifold models

Uses Software

• glasso
• glmnet

Cites Work

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• Sparse inverse covariance estimation with the graphical lasso
• Reduced-order models for control of fluids using the eigensystem realization algorithm
• Stabilization of projection-based reduced order models for linear time-invariant systems via optimization-based eigenvalue reassignment
• An optimal projection method for the reduced-order modeling of incompressible flows
• A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries
• Nonlinear model order reduction based on local reduced-order bases
• Model Reduction of the Nonlinear Complex Ginzburg–Landau Equation
• Local POD Plus Galerkin Projection in the Unsteady Lid-Driven Cavity Problem
• Turbulence and the dynamics of coherent structures. I. Coherent structures
• Dictionary Learning Algorithms for Sparse Representation
• A hierarchy of low-dimensional models for the transient and post-transient cylinder wake
• The need for a pressure-term representation in empirical Galerkin models of incompressible shear flows
• A low-dimensional Galerkin method for the three-dimensional flow around a circular cylinder
• Stabilization of projection‐based reduced‐order models
• Low-dimensional modelling of high-Reynolds-number shear flows incorporating constraints from the Navier–Stokes equation
• Modeling of transitional channel flow using balanced proper orthogonal decomposition
• MODEL REDUCTION FOR FLUIDS, USING BALANCED PROPER ORTHOGONAL DECOMPOSITION
• Turbulence, Coherent Structures, Dynamical Systems and Symmetry

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