A Priori Error Bounds for POD-ROMs for Fluids: A Brief Survey

F Ballarin, T Iliescu - arXiv preprint arXiv:2409.00621, 2024 - arxiv.org
Galerkin reduced order models (ROMs), eg, based on proper orthogonal decomposition
(POD) or reduced basis methods, have achieved significant success in the numerical …

[HTML][HTML] On modal decomposition as surrogate for charge-conservative EHD modelling of Taylor cone jets

S Cândido, JC Páscoa - International Journal of Engineering Science, 2023 - Elsevier
The dynamics of the interface of a fluid jet subjected to an external electrostatic field forming
a Taylor cone jet is investigated using a numerical approach. A charge-conservative …

Hyperreduced-order modeling of thermally coupled flows

N Espinoza-Contreras, C Bayona-Roa… - Applied Mathematical …, 2024 - Elsevier
This article presents a full and reduced-order methodology based on the finite element
method that allows the characterization of convective-dominant conjugate heat transfer …

Application of BPNN algorithm in thermal-hydraulic analysis of unwrapped LFR core

H Qiu, J Yu, M Wang, W Tian, G Su - International Journal of Thermal …, 2024 - Elsevier
Due to the complex structure of the LFR fuel rod bundle, refined CFD simulation consumes
significant computing resources and time, making it difficult to meet the immediate needs of …

POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: Error bounds for the pressure

B García-Archilla, V John, S Katz… - Journal of Numerical …, 2024 - degruyter.com
Reduced order methods (ROMs) for the incompressible Navier–Stokes equations, based on
proper orthogonal decomposition (POD), are studied that include snapshots which approach …

A dynamic variational multiscale method on unstructured meshes for stationary transport problems

Z Xu, O Sahni - International Journal for Numerical Methods in …, 2023 - Wiley Online Library
This paper presents a variational multiscale (VMS) based finite element method where the
stabilization parameter is computed dynamically. The current dynamic procedure takes in a …

A Pressure-Stabilized Continuous Data Assimilation Reduced Order Model

X Li, Y Xu, M Feng - arXiv preprint arXiv:2304.00289, 2023 - arxiv.org
We present a novel reduced-order pressure stabilization strategy based on continuous data
assimilation (CDA) for two-dimensional incompressible Navier-Stokes equations. A …

Residual Data-Driven Variational Multiscale Reduced Order Models for Parameter Dependent Problems

B Koc, S Rubino, TC Rebollo, T Iliescu - arXiv preprint arXiv:2208.00059, 2022 - arxiv.org
In this paper, we investigate the modeling of sub-scale components of proper orthogonal
decomposition reduced order models (POD-ROMs) of convection-dominated flows. We …

Least-squares pressure recovery in reduced order methods for incompressible flows

C RebolloT, S MuñozI - 2024 - dl.acm.org
In this work, we introduce a method to recover the reduced pressure for Reduced Order
Models (ROMs) of incompressible flows. The pressure is obtained as the least-squares …

A POD-based reduced order method applied to Goda time-splitting scheme

M Azaiez, TC Rebollo, F Nunez, S Rubino - 2024 - hal.science
This paper presents a first-order approximation for solving the unsteady Stokes problem
using the pressure-correction Goda scheme in the Reduced Order Model (ROM) context …