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20182024
most citedData-Driven Variational Multiscale Reduced Order Models

83 citations · 117 across the 14 of their papers we have counts for

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8 papers · 1 filter

math.NA2022

A Two-Level Galerkin Reduced Order Model for the Steady Navier-Stokes Equations

Dylan Park, Changhong Mou, Honghu Liu +2

We propose, analyze, and investigate numerically a novel two-level Galerkin reduced order model (2L-ROM) for the efficient and accurate numerical simulation of the steady Navier-St…

math.NA2022★ 1 cited

An Energy-Based Lengthscale for Reduced Order Models of Turbulent Flows

Changhong Mou, Elia Merzari, Omer San +1

In this paper, we propose a novel reduced order model (ROM) lengthscale that is constructed by using energy distribution arguments. The new energy-based ROM lengthscale is fundamen…

math.NA2022

Stochastic Data-Driven Variational Multiscale Reduced Order Models

Fei Lu, Changhong Mou, Honghu Liu +1

Trajectory-wise data-driven reduced order models (ROMs) tend to be sensitive to training data, and thus lack robustness. We propose to construct a robust stochastic ROM closure (S-…

math.NA2022

Reduced Order Model Closures: A Brief Tutorial

William Snyder, Changhong Mou, Honghu Liu +3

In this paper, we present a brief tutorial on reduced order model (ROM) closures. First, we carefully motivate the need for ROM closure modeling in under-resolved simulations. Then…

math.NA2021

Verifiability of the Data-Driven Variational Multiscale Reduced Order Model

Birgul Koc, Changhong Mou, Honghu Liu +3

In this paper, we focus on the mathematical foundations of reduced order model (ROM) closures. First, we extend the verifiability concept from large eddy simulation to the ROM sett…

math.NA2020

A Multifidelity Ensemble Kalman Filter with Reduced Order Control Variates

Andrey A Popov, Changhong Mou, Traian Iliescu +1

This work develops a new multifidelity ensemble Kalman filter (MFEnKF) algorithm based on linear control variate framework. The approach allows for rigorous multifidelity extension…

math.NA2020★ 83 cited

Data-Driven Variational Multiscale Reduced Order Models

Changhong Mou, Birgul Koc, Omer San +2

We propose a new data-driven reduced order model (ROM) framework that centers around the hierarchical structure of the variational multiscale (VMS) methodology and utilizes data to…

math.NA2018

Commutation Error in Reduced Order Modeling of Fluid Flows

Birgul Koc, Muhammad Mohebujjaman, Changhong Mou +1

For reduced order models (ROMs) of fluid flows, we investigate theoretically and computationally whether differentiation and ROM spatial filtering commute, i.e., whether the commut…