Reduced order models for the quasi-geostrophic equations: A brief survey

C Mou, Z Wang, DR Wells, X **e, T Iliescu - Fluids, 2020 - mdpi.com
Reduced order models (ROMs) are computational models whose dimension is significantly
lower than those obtained through classical numerical discretizations (eg, finite element …

Nonintrusive reduced order modeling framework for quasigeostrophic turbulence

SM Rahman, S Pawar, O San, A Rasheed, T Iliescu - Physical Review E, 2019 - APS
In this study, we present a nonintrusive reduced order modeling (ROM) framework for large-
scale quasistationary systems. The framework proposed herein exploits the time series …

Sub-grid scale model classification and blending through deep learning

R Maulik, O San, JD Jacob, C Crick - Journal of Fluid Mechanics, 2019 - cambridge.org
In this article we detail the use of machine learning for spatio-temporally dynamic turbulence
model classification and hybridization for large eddy simulations (LES) of turbulence. Our …

Extreme learning machine for reduced order modeling of turbulent geophysical flows

O San, R Maulik - Physical Review E, 2018 - APS
We investigate the application of artificial neural networks to stabilize proper orthogonal
decomposition-based reduced order models for quasistationary geophysical turbulent flows …

Data-driven variational multiscale reduced order models

C Mou, B Koc, O San, LG Rebholz, T Iliescu - Computer Methods in Applied …, 2021 - Elsevier
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 …

An improved algorithm for the shallow water equations model reduction: Dynamic Mode Decomposition vs POD

DA Bistrian, IM Navon - International Journal for Numerical …, 2015 - Wiley Online Library
We propose an improved framework for dynamic mode decomposition (DMD) of 2‐D flows
for problems originating from meteorology when a large time step acts like a filter in …

Evaluation of scale-aware subgrid mesoscale eddy models in a global eddy-rich model

B Pearson, B Fox-Kemper, S Bachman, F Bryan - Ocean Modelling, 2017 - Elsevier
Two parameterizations for horizontal mixing of momentum and tracers by subgrid mesoscale
eddies are implemented in a high-resolution global ocean model. These parameterizations …

Linear and nonlinear filtering for a two-layer quasi-geostrophic ocean model

L Besabe, M Girfoglio, A Quaini, G Rozza - Applied Mathematics and …, 2025 - Elsevier
Although the two-layer quasi-geostrophic equations (2QGE) are a simplified model for the
dynamics of a stratified, wind-driven ocean, their numerical simulation is still plagued by the …

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

O San, T Iliescu - Advances in Computational Mathematics, 2015 - Springer
In this paper, a stabilized proper orthogonal decomposition (POD) reduced-order model
(ROM) framework is developed for the barotropic vorticity equation. Two different closure …

Data-driven correction reduced order models for the quasi-geostrophic equations: A numerical investigation

C Mou, H Liu, DR Wells, T Iliescu - International Journal of …, 2020 - Taylor & Francis
This paper investigates the recently introduced data-driven correction reduced order model
(DDC-ROM) in the numerical simulation of the quasi-geostrophic equations. The DDC-ROM …