research
∙
07/20/2023
Approximate Deconvolution Leray Reduced Order Model for Convection-Dominated Flows
In this paper, we propose a novel ROM stabilization strategy for under-r...
share
research
∙
07/02/2023
New Feedback Control and Adaptive Evolve-Filter-Relax Regularization for the Navier-Stokes Equations in the Convection-Dominated Regime
We propose, analyze, and investigate numerically a novel feedback contro...
research
∙
02/18/2023
Residual-based stabilized reduced-order models of the transient convection-diffusion-reaction equation obtained through discrete and continuous projection
Galerkin and Petrov-Galerkin projection-based reduced-order models (ROMs...
research
∙
11/23/2022
A Two-Level Galerkin Reduced Order Model for the Steady Navier-Stokes Equations
We propose, analyze, and investigate numerically a novel two-level Galer...
research
∙
11/08/2022
An Energy-Based Lengthscale for Reduced Order Models of Turbulent Flows
In this paper, we propose a novel reduced order model (ROM) lengthscale ...
research
∙
09/06/2022
Stochastic Data-Driven Variational Multiscale Reduced Order Models
Trajectory-wise data-driven reduced order models (ROMs) tend to be sensi...
research
∙
07/21/2022
Hybrid Data-Driven Closure Strategies for Reduced Order Modeling
In this paper, we propose hybrid data-driven ROM closures for fluid flow...
research
∙
05/30/2022
Pressure Data-Driven Variational Multiscale Reduced Order Models
In this paper, we develop data-driven closure/correction terms to increa...
research
∙
05/25/2022
Physics Guided Machine Learning for Variational Multiscale Reduced Order Modeling
We propose a new physics guided machine learning (PGML) paradigm that le...
research
∙
03/22/2022
An Efficient Data-Driven Multiscale Stochastic Reduced Order Modeling Framework for Complex Systems
Suitable reduced order models (ROMs) are computationally efficient tools...
research
∙
02/28/2022
Reduced Order Model Closures: A Brief Tutorial
In this paper, we present a brief tutorial on reduced order model (ROM) ...
research
∙
11/12/2021
Full and Reduced Order Model Consistency of the Nonlinearity Discretization in Incompressible Flows
We investigate both theoretically and numerically the consistency betwee...
research
∙
10/15/2021
Nonlinear proper orthogonal decomposition for convection-dominated flows
Autoencoder techniques find increasingly common use in reduced order mod...
research
∙
10/11/2021
Consistency of the Full and Reduced Order Models for Evolve-Filter-Relax Regularization of Convection-Dominated, Marginally-Resolved Flows
Numerical stabilization is often used to eliminate (alleviate) the spuri...
research
∙
08/11/2021
Verifiability of the Data-Driven Variational Multiscale Reduced Order Model
In this paper, we focus on the mathematical foundations of reduced order...
research
∙
08/04/2021
A Numerical Investigation of the Lengthscale in the Mixing-Length Reduced Order Model of the Turbulent Channel Flow
In this paper, we propose a novel reduced order model (ROM) lengthscale ...
research
∙
12/01/2020
Reduced Order Models for the Quasi-Geostrophic Equations: A Brief Survey
Reduced order models (ROMs) are computational models whose dimension is ...
research
∙
10/08/2020
On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition
In this paper, we resolve several long standing issues dealing with opti...
research
∙
07/01/2020
A Multifidelity Ensemble Kalman Filter with Reduced Order Control Variates
This work develops a new multifidelity ensemble Kalman filter (MFEnKF) a...
research
∙
02/15/2020
Data-Driven Variational Multiscale Reduced Order Models
We propose a new data-driven reduced order model (ROM) framework that ce...
research
∙
08/14/2019
Data-Driven Correction Reduced Order Models for the Quasi-Geostrophic Equations: A Numerical Investigation
This paper investigates the recently introduced data-driven correction r...
research
∙
06/24/2019