Residual Data-Driven Variational Multiscale Reduced Order Models for Parameter Dependent Problems
Abstract
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 propose ROM closure models that depend on the ROM residual. We illustrate the new residual-based data-driven ROM closure within the variational multiscale (VMS) framework and investigate it in the numerical simulation of a one-dimensional parameter-dependent convection-dominated convection-diffusion problem. For comparison purposes, we also investigate a streamline-upwind Petrov-Galerkin (SUPG) ROM stabilization strategy and the standard Galerkin ROM (G-ROM). Our numerical investigation shows that the new residual-based data-driven VMS-ROM is more accurate than both the standard G-ROM and the SUPG-ROM.
Keywords
Cite
@article{arxiv.2208.00059,
title = {Residual Data-Driven Variational Multiscale Reduced Order Models for Parameter Dependent Problems},
author = {Birgul Koc and Samuele Rubino and Tomás Chaón Rebollo and Traian Iliescu},
journal= {arXiv preprint arXiv:2208.00059},
year = {2023}
}
Comments
20 pages, 10 tables, 3 figures