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arXiv · 2208.00059

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

Birgul Koc·Samuele Rubino·Tomás Chaón Rebollo·Traian Iliescu
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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.

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Birgul Koc, Samuele Rubino, Tomás Chaón Rebollo, Traian Iliescu. 2022-07-29. Residual Data-Driven Variational Multiscale Reduced Order Models for Parameter Dependent Problems. https://arxiv.org/abs/2208.00059

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