Reduced-order modeling of advection-dominated systems with recurrent neural networks and convolutional autoencoders

Machine learning strategies applied to the control of a fluidic pinball

(2020) C. Raibaudo et al.   PHYSICS OF FLUIDS

Active flow control using machine learning: A brief review

(2020) Feng Ren et al.   Journal of Hydrodynamics

Machine learning for nonintrusive model order reduction of the parametric inviscid transonic flow past an airfoil

(2020) S. Ashwin Renganathan et al.   PHYSICS OF FLUIDS

Exploration and prediction of fluid dynamical systems using auto-encoder technology

(2020) Lionel Agostini   PHYSICS OF FLUIDS

Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism

(2020) Qian Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A deep-learning-based surrogate model for data assimilation in dynamic subsurface flow problems

(2020) Meng Tang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Neural network representability of fully ionized plasma fluid model closures

(2020) Romit Maulik et al.   PHYSICS OF PLASMAS

Optimization and sensitivity analysis of active drag reduction of a square-back Ahmed body using machine learning control

(2020) Dewei Fan et al.   PHYSICS OF FLUIDS

Latent-space time evolution of non-intrusive reduced-order models using Gaussian process emulation

(2020) Romit Maulik et al.   PHYSICA D-NONLINEAR PHENOMENA

Space--Time Least-Squares Petrov--Galerkin Projection for Nonlinear Model Reduction

(2019) Youngsoo Choi et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem

(2019) Qian Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A dynamic closure modeling framework for model order reduction of geophysical flows

(2019) Sk. M. Rahman et al.   PHYSICS OF FLUIDS

Nonlinear Model Order Reduction via Lifting Transformations and Proper Orthogonal Decomposition

(2019) Boris Kramer et al.   AIAA JOURNAL

A localized reduced-order modeling approach for PDEs with bifurcating solutions

(2019) Martin Hess et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

An artificial neural network framework for reduced order modeling of transient flows

(2019) Omer San et al.   Communications in Nonlinear Science and Numerical Simulation

Local modal participation analysis of nonlinear systems using Poincaré linearization

(2019) Boumediene Hamzi et al.   NONLINEAR DYNAMICS

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

Data-driven forecasting of high-dimensional chaotic systems with long short-term memory networks

(2018) Pantelis R. Vlachas et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Data-Driven Filtered Reduced Order Modeling of Fluid Flows

(2018) X. Xie et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling

(2018) Sebastian Peitz et al.   ACTA APPLICANDAE MATHEMATICAE

Data-driven spectral analysis of the Koopman operator

(2018) Milan Korda et al.   APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS

Projection-based model reduction: Formulations for physics-based machine learning

(2018) Renee Swischuk et al.   COMPUTERS & FLUIDS

Physically-Constrained Data-Driven Correction for Reduced Order Modeling of Fluid Flows

(2018) M. Mohebujjaman et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Deep learning for universal linear embeddings of nonlinear dynamics

(2018) Bethany Lusch et al.   Nature Communications

Optimal reduced space for Variational Data Assimilation

(2018) Rossella Arcucci et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An evolve-then-filter regularized reduced order model for convection-dominated flows

(2017) D. Wells et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

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

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

Dynamic Mode Decomposition with Control

(2016) Joshua L. Proctor et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Optimal Model Management for Multifidelity Monte Carlo Estimation

(2016) Benjamin Peherstorfer et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Principal interval decomposition framework for POD reduced-order modeling of convective Boussinesq flows

(2015) O. San et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Granger Causality Analysis in Neuroscience and Neuroimaging

(2015) A. K. Seth et al.   JOURNAL OF NEUROSCIENCE

Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations

(2014) Francesco Ballarin et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems

(2013) Themistoklis P. Sapsis et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

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

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

Non-linear Petrov–Galerkin methods for reduced order modelling of the Navier–Stokes equations using a mixed finite element pair

(2012) D. Xiao et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Non-linear Petrov–Galerkin methods for reduced order hyperbolic equations and discontinuous finite element methods

(2012) F. Fang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On the stability and convergence of a Galerkin reduced order model (ROM) of compressible flow with solid wall and far-field boundary treatment

(2010) I. Kalashnikova et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations

(2010) Kevin Carlberg et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING