Reduced-order modeling

Z Bai, PM Dewilde, RW Freund - Handbook of numerical analysis, 2005 - Elsevier
In recent years, reduced-order modeling techniques have proven to be powerful tools for
various problems in circuit simulation. For example, today, reduction techniques are …

Spatial–temporal prediction model for unsteady near-wall flow around cylinder based on hybrid neural network

X Qiu, Y Mao, B Wang, Y Xia, Y Liu - Computers & Fluids, 2024 - Elsevier
A hybrid neural network based on Densely Connected Convolutional Networks (DenseNet),
Convolutional Long Short-Term Memory Neural Network (ConvLSTM), and Deconvolutional …

CMRsim–A python package for cardiovascular MR simulations incorporating complex motion and flow

J Weine, C McGrath, P Dirix, S Buoso… - Magnetic Resonance …, 2024 - Wiley Online Library
Purpose To present an open‐source MR simulation framework that facilitates the
incorporation of complex motion and flow for studying cardiovascular MR (CMR) acquisition …

[HTML][HTML] Projection-based reduced-order modelling of time-periodic problems, with application to flow past flapping hydrofoils

JE Lotz, GD Weymouth, I Akkerman - Computer Methods in Applied …, 2024 - Elsevier
Simulating forced time-periodic flows in industrial applications presents significant
computational challenges, partly due to the need to overcome costly transients before …

Residual-based reduced order models for parameterized Navier–Stokes equations with nonhomogeneous boundary condition

T Zhang, H Xu, Y Zhang, X Feng - Physics of Fluids, 2024 - pubs.aip.org
In this paper, we propose a residual-based reduced-order model (ROM) framework that
utilizes available data to increase the ROM accuracy and stability. The available snapshots …

POD-Galerkin reduced order model coupled with neural networks to solve flow in porous media

C Allery, C Béghein, C Dubot, F Dubot - Journal of Computational Science, 2025 - Elsevier
This paper deals with the numerical modeling of flow around and through a porous obstacle
by a reduced order model (ROM) obtained by Galerkin projection of the Navier–Stokes …

A new hybrid reduced order modeling for parametrized Navier–Stokes equations in stream-vorticity formulation

T Zhang, H Xu, L Guo, X Feng - Physics of Fluids, 2024 - pubs.aip.org
In the context of traditional reduced order modeling methods (ROMs), time and parameter
extrapolation tasks remain a formidable challenge. To this end, we propose a hybrid …

A reduced basis stabilization for the unsteady Stokes and Navier-Stokes equations

S Ali, F Ballarin, G Rozza - arXiv preprint arXiv:2103.03553, 2021 - arxiv.org
In the Reduced Basis approximation of Stokes and Navier-Stokes problems, the Galerkin
projection on the reduced spaces does not necessarily preserved the inf-sup stability even if …

Unsteady incompressible flow over a backward-facing step using FEniCS

RV Kumar, KV Nagaraja, K Chandan - Materials Today: Proceedings, 2023 - Elsevier
This study demonstrates unsteady incompressible flow over a backward-facing step and a
cylinder section using a finite element scheme for solving the unsteady Navier-Stokes …

Solving flows in porous media with a POD-Galerkin reduced order model coupled with multilayer perceptron

C Allery, C Beghein, C Dubot, F Dubot - arXiv preprint arXiv:2307.11419, 2023 - arxiv.org
This paper deals with the numerical modeling of flow around and through a porous obstacle
by a reduced order model (ROM) obtained by Galerkin projection of the Navier-Stokes …