activity
20122022
most citedThe GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows

672 citations · 1.2k across the 19 of their papers we have counts for

collaborators

22 papers

cs.CE2022★ 7 cited

Neural-Network-Augmented Projection-Based Model Order Reduction for Mitigating the Kolmogorov Barrier to Reducibility of CFD Models

Joshua L Barnett, Charbel Farhat, Yvon Maday

Inspired by our previous work on mitigating the Kolmogorov barrier using a quadratic approximation manifold, we propose in this paper a computationally tractable approach for combi…

cs.CE2022★ 104 cited

Quadratic Approximation Manifold for Mitigating the Kolmogorov Barrier in Nonlinear Projection-Based Model Order Reduction

Joshua Barnett, Charbel Farhat

A quadratic approximation manifold is presented for performing nonlinear, projection-based, model order reduction (PMOR). It constitutes a departure from the traditional affine sub…

eess.SY2020

Linear Reduced Order Model Predictive Control

Joseph Lorenzetti, Andrew McClellan, Charbel Farhat +1

Model predictive controllers use dynamics models to solve constrained optimal control problems. However, computational requirements for real-time control have limited their use to…

math.NA2020

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

Sebastian Grimberg, Charbel Farhat, Radek Tezaur +1

The energy-conserving sampling and weighting (ECSW) method is a hyperreduction method originally developed for accelerating the performance of Galerkin projection-based reduced-ord…

cs.CE2020★ 24 cited

A Computationally Tractable Framework for Nonlinear Dynamic Multiscale Modeling of Membrane Fabric

Philip Avery, Daniel Z. Huang, Wanli He +3

A general-purpose computational homogenization framework is proposed for the nonlinear dynamic analysis of membranes exhibiting complex microscale and/or mesoscale heterogeneity ch…

math.NA2020★ 1 cited

In-situ adaptive reduction of nonlinear multiscale structural dynamics models

Wanli He, Philip Avery, Charbel Farhat

Conventional offline training of reduced-order bases in a predetermined region of a parameter space leads to parametric reduced-order models that are vulnerable to extrapolation. T…