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

Reduced Operator Inference for Nonlinear Partial Differential Equations

(2022) Elizabeth Qian et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Robust and globally efficient reduction of parametric, highly nonlinear computational models and real time online performance

(2022) Radek Tezaur et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

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

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

Efficient hyperreduction of high-order discontinuous Galerkin methods: Element-wise and point-wise reduced quadrature formulations

(2022) Eugene Du et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

A globally convergent method to accelerate topology optimization using on-the-fly model reduction

(2021) Masayuki Yano et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Data-driven reduced-order models via regularised Operator Inference for a single-injector combustion process

(2021) Shane A. McQuarrie et al.   JOURNAL OF THE ROYAL SOCIETY OF NEW ZEALAND

On-the-fly reduced order modeling of passive and reactive species via time-dependent manifolds

(2021) Donya Ramezanian et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

On closures for reduced order models—A spectrum of first-principle to machine-learned avenues

(2021) Shady E. Ahmed et al.   PHYSICS OF FLUIDS

Windowed space–time least-squares Petrov–Galerkin model order reduction for nonlinear dynamical systems

(2021) Yukiko S. Shimizu et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder

(2021) Youngkyu Kim et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Model reduction for multi-scale transport problems using model-form preserving least-squares projections with variable transformation

(2021) Cheng Huang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Goal‐oriented model reduction of parametrized nonlinear PDEs; application to aerodynamics

(2020) Masayuki Yano   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Learning Physics-Based Reduced-Order Models for a Single-Injector Combustion Process

(2020) Renee Swischuk et al.   AIAA JOURNAL

Online adaptive basis refinement and compression for reduced-order models via vector-space sieving

(2020) Philip A. Etter 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

Mesh sampling and weighting for the hyperreduction of nonlinear Petrov–Galerkin reduced‐order models with local reduced‐order bases

(2020) Sebastian Grimberg et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Windowed least-squares model reduction for dynamical systems

(2020) Eric J. Parish et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A reduced order variational multiscale approach for turbulent flows

(2019) Giovanni Stabile et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Investigations and Improvement of Robustness of Reduced-Order Models of Reacting Flow

(2019) Cheng Huang et al.   AIAA JOURNAL

Decay of the Kolmogorov N-width for wave problems

(2019) Constantin Greif et al.   APPLIED MATHEMATICS LETTERS

A hybrid stabilization approach for reduced‐order models of compressible flows with shock‐vortex interaction

(2019) Elnaz Rezaian et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

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

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

Neural network closures for nonlinear model order reduction

(2018) Omer San et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Conservative model reduction for finite-volume models

(2018) Kevin Carlberg et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Geometric Subspace Updates with Applications to Online Adaptive Nonlinear Model Reduction

(2018) Ralf Zimmermann et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena

(2018) J. Reiss et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Direct numerical simulation of flame stabilization assisted by autoignition in a reheat gas turbine combustor

(2018) Konduri Aditya et al.   PROCEEDINGS OF THE COMBUSTION INSTITUTE

Transported snapshot model order reduction approach for parametric, steady-state fluid flows containing parameter-dependent shocks

(2018) Nirmal J. Nair et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A dynamic subgrid scale model for Large Eddy Simulations based on the Mori–Zwanzig formalism

(2017) Eric J. Parish 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

Non-Markovian closure models for large eddy simulations using the Mori-Zwanzig formalism

(2017) Eric J. Parish et al.   Physical Review Fluids

A New Selection Operator for the Discrete Empirical Interpolation Method---Improved A Priori Error Bound and Extensions

(2016) Zlatko Drmač et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Fast local reduced basis updates for the efficient reduction of nonlinear systems with hyper-reduction

(2015) David Amsallem et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation

(2015) Omer San et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Coupling between hydrodynamics, acoustics, and heat release in a self-excited unstable combustor

(2015) Matthew E. Harvazinski et al.   PHYSICS OF FLUIDS

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

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

A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems

(2015) Peter Benner et al.   SIAM REVIEW

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

Adaptiveh-refinement for reduced-order models

(2014) Kevin Carlberg   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Progressive construction of a parametric reduced-order model for PDE-constrained optimization

(2014) Matthew J. Zahr et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Cluster-based reduced-order modelling of a mixing layer

(2014) Eurika Kaiser et al.   JOURNAL OF FLUID MECHANICS

Localized Discrete Empirical Interpolation Method

(2014) Benjamin Peherstorfer et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing

(2013) Mario Ohlberger et al.   COMPTES RENDUS MATHEMATIQUE

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

Variational multiscale proper orthogonal decomposition: Navier-stokes equations

(2013) Traian Iliescu et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Parameter multi-domain ‘hp’ empirical interpolation

(2012) Jens L. Eftang et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Stabilization of projection-based reduced-order models

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

Nonlinear model order reduction based on local reduced-order bases

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

Closed-loop control of unsteadiness over a rounded backward-facing step

(2012) Alexandre Barbagallo et al.   JOURNAL OF FLUID MECHANICS

Spontaneous Longitudinal Combustion Instability in a Continuously-Variable Resonance Combustor

(2012) Yen Yu et al.   JOURNAL OF PROPULSION AND POWER

Input–output measures for model reduction and closed-loop control: application to global modes

(2011) Alexandre Barbagallo et al.   JOURNAL OF FLUID MECHANICS

Reduced order models based on local POD plus Galerkin projection

(2010) María-Luisa Rapún et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations

(2010) Jens L. Eftang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Nonlinear Model Reduction via Discrete Empirical Interpolation

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

Closed-loop control of an open cavity flow using reduced-order models

(2009) ALEXANDRE BARBAGALLO et al.   JOURNAL OF FLUID MECHANICS

Enablers for robust POD models

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

Stable Galerkin reduced order models for linearized compressible flow

(2008) Matthew F. Barone et al.   JOURNAL OF COMPUTATIONAL PHYSICS