A new method to interpolate POD reduced bases–Application to the parametric model order reduction of a gas bearings supported rotor
DOI10.1002/nme.7305OpenAlexW4380085187MaRDI QIDQ6082584
Unnamed Author, Dimitri Goutaudier, Fabio Nobile
Publication date: 30 November 2023
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.7305
dynamical systemsproper orthogonal decompositionparametric model order reductiongas bearingsreduced basis adaptation
Gas dynamics (general theory) (76N15) Numerical interpolation (65D05) Finite difference methods for boundary value problems involving PDEs (65N06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical quadrature and cubature formulas (65D32) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
Cites Work
- The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
- Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projection-based reduced order models for the compressible Navier-Stokes equations
- History and generality of the CS decomposition
- Skew symmetric logarithms and geodesics on \(\mathrm{O}_n(\mathbb{R})\)
- Data-driven reduced order modeling for time-dependent problems
- A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder
- Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders
- POD basis interpolation via inverse distance weighting on Grassmann manifolds
- Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction
- Operator inference for non-intrusive model reduction with quadratic manifolds
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- A Locally Parametrized Reduced-Order Model for the Linear Frequency Domain Approach to Time-Accurate Computational Fluid Dynamics
- Online Adaptive Model Reduction for Nonlinear Systems via Low-Rank Updates
- A real time procedure for affinely dependent parametric model order reduction using interpolation on Grassmann manifolds
- Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- The MATLAB ODE Suite
- A method for interpolating on manifolds structural dynamics reduced-order models
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- The Geometry of Algorithms with Orthogonality Constraints
- A New Look at Proper Orthogonal Decomposition
- Numerical Methods for Computing Angles Between Linear Subspaces
- Missing Point Estimation in Models Described by Proper Orthogonal Decomposition
- Model Reduction for Transport-Dominated Problems via Online Adaptive Bases and Adaptive Sampling
- Localized Discrete Empirical Interpolation Method
- Data‐driven physics‐based digital twins via a library of component‐based reduced‐order models
- Non-linear manifold reduced-order models with convolutional autoencoders and reduced over-collocation method
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