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 …

Variational Multiscale Evolve and Filter Strategies for Convection-Dominated Flows

M Strazzullo, F Ballarin, T Iliescu… - arXiv preprint arXiv …, 2024 - arxiv.org
The evolve-filter (EF) model is a filter-based numerical stabilization for under-resolved
convection-dominated flows. EF is a simple, modular, and effective strategy for both full …

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 …