An adaptive, training‐free reduced‐order model for convection‐dominated problems based on hybrid snapshots

Predictive reduced order modeling of chaotic multi-scale problems using adaptively sampled projections

(2023) Cheng Huang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction

(2022) Joshua Barnett et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A reduced order modeling method based on GNAT-embedded hybrid snapshot simulation

(2022) Feng Bai et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Operator inference for non-intrusive model reduction with quadratic manifolds

(2022) Rudy Geelen et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking

(2022) Marzieh Alireza Mirhoseini et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical noise prediction and source identification of a realistic landing gear

(2021) Tulio R. Ricciardi et al.   JOURNAL OF SOUND AND VIBRATION

Data-driven closure of projection-based reduced order models for unsteady compressible flows

(2021) Victor Zucatti et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

On the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows

(2020) Sebastian Grimberg et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Construction of reduced-order models for fluid flows using deep feedforward neural networks

(2019) Hugo F. S. Lui et al.   JOURNAL OF FLUID MECHANICS

Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders

(2019) Kookjin Lee et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Galerkin v. least-squares Petrov–Galerkin projection in nonlinear model reduction

(2017) Kevin Carlberg et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Data-driven operator inference for nonintrusive projection-based model reduction

(2016) Benjamin Peherstorfer et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Discovering governing equations from data by sparse identification of nonlinear dynamical systems

(2016) Steven L. Brunton et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Online Adaptive Model Reduction for Nonlinear Systems via Low-Rank Updates

(2015) Benjamin Peherstorfer et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Stabilization of projection-based reduced order models for linear time-invariant systems via optimization-based eigenvalue reassignment

(2014) Irina Kalashnikova et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

The GNAT method for nonlinear model reduction: Effective implementation and application to computational fluid dynamics and turbulent flows

(2013) Kevin Carlberg et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Genuinely multi-dimensional explicit and implicit generalized Shapiro filters for weather forecasting, computational fluid dynamics and aeroacoustics

(2013) F. Falissard   JOURNAL OF COMPUTATIONAL PHYSICS

Mitigating horizontal divergence “checker-board” oscillations on unstructured triangular C-grids for nonlinear hydrostatic and nonhydrostatic flows

(2013) Phillip J. Wolfram et al.   OCEAN MODELLING

Proper orthogonal decomposition closure models for turbulent flows: A numerical comparison

(2012) Zhu Wang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Nonlinear model order reduction based on local reduced-order bases

(2012) David Amsallem et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Compact Reconstruction Schemes with Weighted ENO Limiting for Hyperbolic Conservation Laws

(2012) Debojyoti Ghosh et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Nonlinear Model Reduction via Discrete Empirical Interpolation

(2010) Saifon Chaturantabut et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Enablers for robust POD models

(2008) M. Bergmann et al.   JOURNAL OF COMPUTATIONAL PHYSICS